Linear Value Function Approximation Linear Models
Parr, Ronald
Linear Value Function Approximation and Linear Models Ronald Parr Duke University Joint work terminology Â· Various forms of linear value function approximation Â· Linear approximate model formulation #12;Outline Â· Introduce terminology Â· Various forms of linear value function approximation Â· Linear
Linear Transformation Method for Multinuclide Decay Calculation
Ding Yuan
2010-12-29
A linear transformation method for generic multinuclide decay calculations is presented together with its properties and implications. The method takes advantage of the linear form of the decay solution N(t) = F(t)N{sub 0}, where N(t) is a column vector that represents the numbers of atoms of the radioactive nuclides in the decay chain, N{sub 0} is the initial value vector of N(t), and F(t) is a lower triangular matrix whose time-dependent elements are independent of the initial values of the system.
Linear Discriminant Functions Linear Discriminant Functions and Decisions Surfaces
Linear Discriminant Functions Â· Linear Discriminant Functions and Decisions Surfaces Â· Generalized Linear Discriminant Functions #12;Srihari: CSE 555 Introduction Â· Parametric Methods Â· Underlying pdfs are known Â· Training samples used to estimate pdf parameters Â· Linear Discriminant Functions Â· Forms
UNBOUNDED DISJOINTNESS PRESERVING LINEAR FUNCTIONALS
Wong, Ngai-Ching
UNBOUNDED DISJOINTNESS PRESERVING LINEAR FUNCTIONALS LAWRENCE G. BROWN AND NGAI-CHING WONG Abstract vanishing at infinity. In this paper, we shall study unbounded disjointness preserving linear functionals. In particular, every unbounded disjointness preserving linear functional of c0 can be constructed explicitly
Wave functions of linear systems
Tomasz Sowinski
2007-06-05
Complete analysis of quantum wave functions of linear systems in an arbitrary number of dimensions is given. It is shown how one can construct a complete set of stationary quantum states of an arbitrary linear system from purely classical arguments. This construction is possible because for linear systems classical dynamics carries the whole information about quantum dynamics.
OPTIMIZING OF SUMS AND PRODUCTS OF LINEAR FRACTIONAL FUNCTIONS
OPTIMIZING OF SUMS AND PRODUCTS OF LINEAR FRACTIONAL FUNCTIONS UNDER LINEAR CONSTRAINTS JOACHIM of two linear fractional functions under linear constraints. Results of computational experiments. Fractional programming, composite objective functions, linear fractional functions, Charnes
Aggregate Functions, Conservative Extension, and Linear Orders
Libkin, Leonid
Aggregate Functions, Conservative Extension, and Linear Orders Leonid Libkin Limsoon Wong Summary Practical database query languages are usually equipped with some aggregate functions. For example, \\ nd mean of column" can be expressed in SQL. However, the manner in which aggregate functions were
Non-linear Fractal Interpolating Functions
R. Kobes; H. Letkeman
2001-12-07
We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding certain arbitrary functions. An escape-time algorithm that can be used for such systems to generate fractal images like those associated with Julia or Mandelbrot sets is also described.
Acceptors as Values Functional Programming in Classical Linear Logic
Reddy, Uday S.
Acceptors as Values Functional Programming in Classical Linear this paper, we consider the application of classical linear logic to functional programming. T* *he negative" operator of linear logic gives rise to nondeter* *ministic values. We define a typed functional language
Testing Multivariate Linear Functions: Overcoming the Generator Bottleneck
Ergun, Funda
Testing Multivariate Linear Functions: Overcoming the Generator Bottleneck Funda ErgÂ¨un \\Lambda present efficient methods for selfÂtesting multivariate linear functions. We then apply these methods the problem of selfÂtesting multivariate linear functions, i.e., given a multivariate linear function f
Parr, Ronald
An Analysis of Linear Models, Linear Value-Function Approximation, and Feature Selection, Piscataway, NJ 08854 USA Abstract We show that linear value-function approxima- tion is equivalent to a form trees, neural networks, and linear functions. The first contribution of this paper shows that, when
Acceptors as Values Functional Programming in Classical Linear Logic
Reddy, Uday S.
Acceptors as Values Functional Programming in Classical Linear Logic (Technical Summary) Uday S the application of classical linear logic to functional programming. The negative types of linear logic]. The only application of classical linear logic to functional programming has been by Filinski [10] who uses
Acceptors as Values Functional Programming in Classical Linear Logic
Reddy, Uday S.
Acceptors as Values Functional Programming in Classical Linear Logic (Technical Summary) Uday S the application of classical linear logic to functional programming. The negative types of linear logic linear logic to functional programming has been by Filinski [10] who uses negative types to model
Adaptive Global Testing for Functional Linear Models Carnegie Mellon University
Lei, Jing
Adaptive Global Testing for Functional Linear Models Jing Lei Carnegie Mellon University August 5 BCS-0941518. Abstract This paper studies global testing of the slope function in functional linear when approxi- mating the functional regression model by a finite dimensional multivariate linear
When is a linear functional multiplicative? Krzysztof Jarosz
Jarosz, Krzysztof
When is a linear functional multiplicative? Krzysztof Jarosz Abstract. We discuss the problem) be the set of all (nonzero) linear and multiplicative functionals on A, that is, the set of functionals: · for the algebra C [0, 1] of all continuous functions defined on the unit segment [0, 1] any linear multiplicative
Fitting Skyrme functionals using linear response theory
A. Pastore; D. Davesne; K. Bennaceur; J. Meyer; V. Hellemans
2012-10-30
Recently, it has been recently shown that the linear response theory in symmetric nuclear matter can be used as a tool to detect finite size instabilities for different Skyrme functionals. In particular it has been shown that there is a correlation between the density at which instabilities occur in infinite matter and the instabilities in finite nuclei. In this article we present a new fitting protocol that uses this correlation to add new additional constraint in Symmetric Infinite Nuclear Matter in order to ensure the stability of finite nuclei against matter fluctuation in all spin and isospin channels. As an application, we give the parameters set for a new Skyrme functional which includes central and spin-orbit parts and which is free from instabilities by construction.
Reconstructing sleptons in cascade-decays at the linear collider
Mikael Berggren
2005-08-24
A method to reconstruct sleptons in cascade-decays at the FLC is presented. It is shown that experimental mass-resolutions as low as 8.7 MeV/c^2 are attainable.
Linear differential elimination for analytic functions W. Plesken, D. Robertz
Robertz, Daniel
Linear differential elimination for analytic functions W. Plesken, D. Robertz Abstract This paper provides methods to decide whether a given analytic function of several complex variables is a linear the function (sin x)2 is a linear combination of the form f1(x)·(cos(x+y))2 +f2(y)·cos(2x+y) with analytic
The Power of Linear Functions Sandra Alves1
FernÃ¡ndez, Maribel
The Power of Linear Functions Sandra Alves1 , Maribel FernÂ´andez2 , MÂ´ario Florido1 , and Ian weak in terms of expres- sive power: in particular, all functions terminate in linear time properties of this linear version of GÂ¨odel's System T and study the class of functions that can
Existence of piecewise linear Lyapunov functions in arbitrary dimensions
Hafstein, SigurÃ°ur Freyr
Existence of piecewise linear Lyapunov functions in arbitrary dimensions Peter Giesl Department/Hafstein (2010) the exis- tence of a piecewise linear Lyapunov function was shown, and in Giesl/Hafstein (subm-dimensional systems. This paper generalises the existence of piecewise linear Lyapunov functions to arbitrary
On The Linear Structure of Symmetric Boolean Functions \\Lambda
Wu, Chuan-Kun
On The Linear Structure of Symmetric Boolean Functions \\Lambda Ed Dawson ChuanÂKun Wu Information a function with the allÂone vector as an invariant linear structure or can be written as the product of two symmetric functions of which one has the allÂone vector as an invariant linear structure and the other has
Computational Geometry of Linear Threshold Functions
Abelson, Harold
1976-07-01
Linear threshold machines are defined to be those whose computations are based on the outputs of a set of linear threshold decision elements. The number of such elements is called the rank of the machine. An analysis ...
Does particle decay cause wave function collapse: An experimental test
Spencer R. Klein; Joakim Nystrand
2003-01-08
We describe an experimental test of whether particle decay causes wave function collapse. The test uses interference between two well separated, but coherent, sources of vector mesons. The short-lived mesons decay before their wave functions can overlap, so any interference must involve identical final states. Unlike previous tests of nonlocality, the interference involves continuous variables, momentum and position. Interference can only occur if the wave function retains amplitudes for all possible decays. The interference can be studied through the transverse momentum spectrum of the reconstructed mesons.
Measuring non-linear functionals of quantum harmonic oscillator states
K. L. Pregnell
2005-11-01
Using only linear interactions and a local parity measurement we show how entanglement can be detected between two harmonic oscillators. The scheme generalizes to measure both linear and non-linear functionals of an arbitrary oscillator state. This leads to many applications including purity tests, eigenvalue estimation, entropy and distance measures - all without the need for non-linear interactions or complete state reconstruction. Remarkably, experimental realization of the proposed scheme is already within the reach of current technology with linear optics.
Efficient Pseudorandom Functions From the Decisional Linear Assumption and Weaker
International Association for Cryptologic Research (IACR)
Efficient Pseudorandom Functions From the Decisional Linear Assumption and Weaker Variants Allison to yield a construction of pseudorandom functions under the decisional k-Linear Assumption, for each k 1 In this paper, we generalize Naor and Reingold's construction of pseudorandom functions under the DDH Assumption
Integral representations for a generalized Hermite linear functional
R. S. Costas-Santos; Ridha Sfaxi
2008-07-08
In this paper we find new integral representations for the {\\it generalized Hermite linear functional} in the real line and the complex plane. As application, new integral representations for the Euler Gamma function are given.
Effective Yukawa couplings and flavor-changing Higgs boson decays at linear colliders
Gabrielli, E.; Mele, B.
2011-04-01
We analyze the advantages of a linear-collider program for testing a recent theoretical proposal where the Higgs boson Yukawa couplings are radiatively generated, keeping unchanged the standard-model mechanism for electroweak-gauge-symmetry breaking. Fermion masses arise at a large energy scale through an unknown mechanism, and the standard model at the electroweak scale is regarded as an effective field theory. In this scenario, Higgs boson decays into photons and electroweak gauge-boson pairs are considerably enhanced for a light Higgs boson, which makes a signal observation at the LHC straightforward. On the other hand, the clean environment of a linear collider is required to directly probe the radiative fermionic sector of the Higgs boson couplings. Also, we show that the flavor-changing Higgs boson decays are dramatically enhanced with respect to the standard model. In particular, we find a measurable branching ratio in the range (10{sup -4}-10{sup -3}) for the decay H{yields}bs for a Higgs boson lighter than 140 GeV, depending on the high-energy scale where Yukawa couplings vanish. We present a detailed analysis of the Higgs boson production cross sections at linear colliders for interesting decay signatures, as well as branching-ratio correlations for different flavor-conserving/nonconserving fermionic decays.
Taihei Yano; Naoteru Gouda
1997-01-20
We investigate stability of the scale-invariant solutions of the BBGKY equations for two-point spatial correlation functions of the density fluctuations in the strongly non-linear regime. In the case that the background skewness of the velocity field is equal to 0, we found that there is no local instability in the strongly non-linear regime. The perturbation does not grow nor does it decay. It has an only marginal stable mode. This result means that no special value of the power index of the two-point spatial correlation function are favored in terms of the stability of the solutions. In other words, the argument about the stability does not determine the power index of the two-point spatial correlation functions in the strongly non-linear regime.
Exotic Higgs Decay h to 2a at the International Linear Collider: a Snowmass White Paper
Tao Liu; C. T. Potter
2013-08-30
A Higgs factory like the International Linear Collider (ILC) can play a significant role in searching for exotic decays of Higgs bosons. As an illustration, we investigate the ILC sensitivity for the decay topology $h\\to a_1 a_1 \\to \\tau\\bar \\tau\\tau \\bar \\tau$ in the Next-to-Minimal-Supersymmetric-Standard-Model (NMSSM). Here $h$ can be either Standard-Model-like or non-standard, and $a_{1}$ is the lightest CP-odd Higgs boson. We also compare results to expectations for this channel at the LHC.
Preservice teachers' knowledge of linear functions within multiple representation modes
You, Zhixia
2009-05-15
This study examines preservice teachers’ knowledge in the case of linear functions. Teachers’ knowledge in general consists of their subject matter knowledge and their pedagogical content knowledge. In this study, teachers’ subject matter knowledge...
Franceschetti, Massimo
Functions by Linear Coding Over Networks Rathinakumar Appuswamy, Member, IEEE, and Massimo Franceschetti and a receiver node demands an arbi- trary linear function of these messages. We formulate an algebraic test to determine whether an arbitrary network can compute linear functions using linear codes. We identify a class
The Linear Momentum as a Tensor Function
Enrique Ordaz Romay
2003-03-27
At present, whenever we work in newtonian mechanics we consider momentum to be a three-dimensional vector or a 4-dimensional one when we work in relativistic mechanics. However, this mathematical vector model has barely 200 years and its complete installation in the physics is hardly more than 100 years old. In classical mechanics, based on point particles with mass, momentum is considered as a vector because the speed of the particle is applied on a single point and the mass is defined only at that point. When the extension to classical rigid solids is made, that is, to solids that keep their shape, being so that the speed is defined to be the same for each and every point where the solid is defined, then the viewpoint of momentum as a vector is the simplest and more convenient approach. Relativity (restricted and general) was developed in the decades of 1900 and 1910 and quantum mechanics in the decades of 1920 and 1930. Relativity then impedes the existence of classical rigid solids. The maximum speed for the transmission of signals prevents a body from varying its status without being deformed. On the other hand, quantum physics breaks up with the concept of point particles with mass, substituting this model for the one of the wave function defined in an extensive region of the space (space-time in the quantum relativity). Can we really define, the moment of a relativistic solid or of a wave function with a simple vector?
On pointwise decay of linear waves on a Schwarzschild black hole background
Roland Donninger; Wilhelm Schlag; Avy Soffer
2011-08-23
We prove sharp pointwise $t^{-3}$ decay for scalar linear perturbations of a Schwarzschild black hole without symmetry assumptions on the data. We also consider electromagnetic and gravitational perturbations for which we obtain decay rates $t^{-4}$, and $t^{-6}$, respectively. We proceed by decomposition into angular momentum $\\ell$ and summation of the decay estimates on the Regge-Wheeler equation for fixed $\\ell$. We encounter a dichotomy: the decay law in time is entirely determined by the asymptotic behavior of the Regge-Wheeler potential in the far field, whereas the growth of the constants in $\\ell$ is dictated by the behavior of the Regge-Wheeler potential in a small neighborhood around its maximum. In other words, the tails are controlled by small energies, whereas the number of angular derivatives needed on the data is determined by energies close to the top of the Regge-Wheeler potential. This dichotomy corresponds to the well-known principle that for initial times the decay reflects the presence of complex resonances generated by the potential maximum, whereas for later times the tails are determined by the far field. However, we do not invoke complex resonances at all, but rely instead on semiclassical Sigal-Soffer type propagation estimates based on a Mourre bound near the top energy.
POLYTOPES WITH MASS LINEAR FUNCTIONS, PART I DUSA MCDUFF AND SUSAN TOLMAN
Sutherland, Scott
POLYTOPES WITH MASS LINEAR FUNCTIONS, PART I DUSA MCDUFF AND SUSAN TOLMAN Abstract. We analyze mass linear functions on simple polytopes , where a mass linear function is an affine function on whose value that certain types of symmetries of give rise to nonconstant mass linear functions on . We call mass linear
Cao, Jianshu
Linear and nonlinear response functions of the Morse oscillator: Classical divergence the linear and nonlinear quantum response functions for microcanonical Morse systems and to demonstrate the linear divergence in the corresponding classical response function. On the basis of the uncertainty
Earnest, Darrell Steven
2012-01-01
of gridlines, (9) linear functions, and (10) story-to-graphas a contrast to a linear function, and with a design intentthe grid featured a linear function, and the problem card
Measuring Anomalous Couplings in H->WW* Decays at the International Linear Collider
Yosuke Takubo; Robert N. Hodgkinson; Katsumasa Ikematsu; Keisuke Fujii; Nobuchika Okada; Hitoshi Yamamoto
2013-05-17
Measurement of the Higgs coupling to W-bosons is an important test of our understanding of the electroweak symmetry breaking mechanism. We study the sensitivity of the International Linear Collider (ILC) to the presence of anomalous HW+W- couplings using ZH -> nu nu WW* -> nu nu 4j events. Using an effective Lagrangian approach, we calculate the differential decay rates of the Higgs boson including the effects of new dimension-5 operators. We present a Monte Carlo simulation of events at the ILC, using a full detector simulation based on geant4 and a real event reconstruction chain. Expected constraints on the anomalous couplings are given.
Torus partition functions and spectra of gauged linear sigma models
Stefan Groot Nibbelink; Fabian Ruehle
2014-08-27
Worldsheet (0,2) gauged linear sigma models are often used to study supersymmetric heterotic string compactifications with non-trivial vector bundles. We make use of supersymmetric localization techniques to determine their one-loop partition functions. In particular we derive conditions which ensure that the full partition function is modular invariant and we propose a method to determine the massless and massive target space matter spectrum.
A Hamiltonian functional for the linearized Einstein vacuum field equations
R. Rosas-Rodriguez
2005-07-26
By considering the Einstein vacuum field equations linearized about the Minkowski metric, the evolution equations for the gauge-invariant quantities characterizing the gravitational field are written in a Hamiltonian form by using a conserved functional as Hamiltonian; this Hamiltonian is not the analog of the energy of the field. A Poisson bracket between functionals of the field, compatible with the constraints satisfied by the field variables, is obtained. The generator of spatial translations associated with such bracket is also obtained.
Wave function of classical particle in linear potential
A. S. Avanesov; V. I. Manko
2013-04-03
The problem of classical particle in linear potential is studied by using the formalism of Hilbert space and tomographic probability distribution. The Liouville equation for this problem is solved by finding the density matrix satisfying von Newmann-like equation in the form of product of wave functions. The relation to quantum mechanics is discussed.
Direct estimations of linear and non-linear functionals of a quantum state
Artur K. Ekert; Carolina Moura Alves; Daniel K. L. Oi; Michal Horodecki; Pawel Horodecki; L. C. Kwek
2002-03-04
We present a simple quantum network, based on the controlled-SWAP gate, that can extract certain properties of quantum states without recourse to quantum tomography. It can be used used as a basic building block for direct quantum estimations of both linear and non-linear functionals of any density operator. The network has many potential applications ranging from purity tests and eigenvalue estimations to direct characterization of some properties of quantum channels. Experimental realizations of the proposed network are within the reach of quantum technology that is currently being developed.
Improved quantum test for linearity of a Boolean function
Kaushik Chakraborty; Subhamoy Maitra
2013-06-26
Let a Boolean function be available as a black-box (oracle) and one likes to devise an algorithm to test whether it has certain property or it is $\\epsilon$-far from having that property. The efficiency of the algorithm is judged by the number of calls to the oracle so that one can decide, with high probability, between these two alternatives. The best known quantum algorithm for testing whether a function is linear or $\\epsilon$-far $(0 linear functions requires $O(\\epsilon^{-\\frac{2}{3}})$ many calls [Hillery and Andersson, Physical Review A 84, 062329 (2011)]. We show that this can be improved to $O(\\epsilon^{-\\frac{1}{2}})$ by using the Deutsch-Jozsa and the Grover Algorithms.
Knowledge representation and integration for portfolio evaluation using linear belief functions
Liu, Liping; Shenoy, Catherine; Shenoy, Prakash P.
2006-07-01
In this paper, we propose a linear belief function approach to evaluating portfolio performance. By drawing on the notion of linear belief functions, we propose an elementary approach to knowledge representation for expert systems using linear...
THE HAHN-BANACH EXTENSION THEOREMS AND EXISTENCE OF LINEAR FUNCTIONALS
Baggett, Lawrence W.
CHAPTER II THE HAHN-BANACH EXTENSION THEOREMS AND EXISTENCE OF LINEAR FUNCTIONALS In this chapter we deal with the problem of extending a linear functional on a subspace Y to a linear functional only finitely many of the coefficients c are nonzero for any given x. This is a linear functional
LINEAR AND NON-LINEAR TECHNIQUES FOR ESTIMATING THE MONEY DEMAND FUNCTION: THE CASE OF SAUDI ARABIA
Alsahafi, Mamdooh
2009-07-31
This research is intended to apply linear and non-linear techniques to estimate the money demand function of Saudi Arabia under two alternative approaches using two different measures of monetary aggregates (Divisia and Simple-Sum monetary...
Non-Linear Effects on the Angular Correlation Function
R. Scranton; S. Dodelson
2000-03-03
Extracting the three dimensional power spectrum from the 2D distribution of galaxies has become a standard tool of cosmology. This extraction requires some assumptions about the scaling of the power spectrum with redshift; all treatments to date assume a simple power law scaling. In reality, different scales grow at different rates, due to non-linearities. We show that angular surveys are sensitive to a weighted average of the power spectrum over a distribution of redshifts, where the weight function varies with wavenumber. We compute this weight function and show that it is fairly sharply peaked at \\bar{z}, which is a function of k. As long as the extracted power spectrum is understood to be $P(k,\\bar{z})$, the error introduced by non-linear scaling is quantifiable and small. We study these effects in the context of the APM and SDSS photometric surveys. In general the weight matrix is peaked at larger z and is broader for deeper surveys, leading to larger (but still quantifiable) errors due to non-linear scaling. The tools introduced here -- in particular the weight function and effective redshift $\\bar{z}$ -- can also be profitably applied to plan surveys to study the evolution of the power spectrum.
\\(?\\) vector and axial-vector spectral functions in the extended linear sigma model
A. Habersetzer; Francesco Giacosa
2015-04-16
The extended linear sigma model describes the vacuum phenomenology of scalar, pseudoscalar, vector and axial-vector mesons at energies \\(\\simeq 1\\text{ GeV}\\). We combine the chiral \\(U(2)_L\\times U(2)_R\\) symmetry of this model with a local \\(SU(2)_L\\times U(1)_Y\\) symmetry and obtain a gauge invariant effective description for electroweak interaction of hadrons in the vacuum. Vector and axial-vector spectral functions can be described well by two intermediate resonances \\(\\rho\\) and \\(a_1\\). They are implemented into this model as chiral partners and yield the predominant contributions to both spectral functions. However, the contributions that arise from the non-resonant decay channels of the weak charged \\(W\\) bosons are essential for reproducing the lineshapes of the spectral functions.
Symmetry classification of quasi-linear PDE's containing arbitrary functions
Giampaolo Cicogna
2007-02-02
We consider the problem of performing the preliminary "symmetry classification'' of a class of quasi-linear PDE's containing one or more arbitrary functions: we provide an easy condition involving these functions in order that nontrivial Lie point symmetries be admitted, and a "geometrical'' characterization of the relevant system of equations determining these symmetries. Two detailed examples will elucidate the idea and the procedure: the first one concerns a nonlinear Laplace-type equation, the second a generalization of an equation (the Grad-Schl\\"uter-Shafranov equation) which is used in magnetohydrodynamics.
On linear operators with an invariant subspace of functions
Yves Brihaye
2004-02-09
Let us denote ${\\cal V}$, the finite dimensional vector spaces of functions of the form $\\psi(x) = p_n(x) + f(x) p_m(x)$ where $p_n(x)$ and $p_m(x)$ are arbitrary polynomials of degree at most $n$ and $m$ in the variable $x$ while $f(x)$ represents a fixed function of $x$. Conditions on $m,n$ and $f(x)$ are found such that families of linear differential operators exist which preserve ${\\cal V}$. A special emphasis is accorded to the cases where the set of differential operators represents the envelopping algebra of some abstract algebra.
A Theory of Linear Fractional Transformations of Rational Functions
Reiter, Harold
functions, we say that g g if g = ax+b cx+d -1 g ax+b cx+d , where a b c d = 0. For practical purposes ax+b cx+d = ax + b, a linear function, our methods yield a large number of first level invariants and n i=0 Aixi and n i=0 Bixi have no roots in common. Also, g g if g = ax+b cx+d -1 g ax+b cx
Hafstein, SigurÃ°ur Freyr
Functions by Linear Programming Computing Lo Computation of Local ISS Lyapunov Function Via Linear Functions 3 Computing Local Robust Lyapunov Functions by Linear Programming 4 Computing Local ISS Lyapunov Functions by Linear Programming 5 Example 6 Conclusion and Future Works #12;Introduction Relationship
Fast Gradient-Descent Methods for Temporal-Difference Learning with Linear Function Approximation
Szepesvari, Csaba
Fast Gradient-Descent Methods for Temporal-Difference Learning with Linear Function Approximation with both linear function ap- proximation and off-policy training, and whose complexity scales only linearly requirements. 1. Motivation Temporal-difference methods based on gradient descent and linear function
Decay of correlations for flows with unbounded roof function, including the infinite horizon planar
Decay of correlations for flows with unbounded roof function, including the infinite horizon planar for studying nonuniformly hyperbolic flows with unbounded roof functions. In particular, we establish the decay of other classes of flows with unbounded roof functions. For geometric Lorenz attractors (in- cluding
Decay of correlations for flows with unbounded roof function, including the infinite horizon planar
Decay of correlations for flows with unbounded roof function, including the infinite horizon planar for studying nonuniformly hyperbolic flows with unbounded roof functions. In particular, we establish the decay of other classes of flows with unbounded roof functions. For geometric Lorenz attractors (in cluding
Diagnostics for Linear Models With Functional Responses Edmunds.com Inc.
Xu, Hongquan
Diagnostics for Linear Models With Functional Responses Qing Shen Edmunds.com Inc. 2401 Colorado and predicting responses by a set of predictors. In a functional linear model, either the response are functions and the predictors are scalar vectors. Such linear models, including functional analysis
Varying-Coefficient Functional Linear Yichao Wu , Jianqing Fan and Hans-Georg Muller
Müller, Hans-Georg
Varying-Coefficient Functional Linear Regression Yichao Wu , Jianqing Fan and Hans-Georg M¨uller NCSU, Princeton University, and UC-Davis Abstract: Functional linear regression analysis aims to model arguments of the regression parameter function. This extension of the functional linear regression model
Every linear threshold function has a low-weight approximator Rocco A. Servedio
Servedio, Rocco
Every linear threshold function has a low-weight approximator Rocco A. Servedio Department threshold function f on n Boolean vari- ables, we construct a linear threshold function g which dis- agrees of ( n) on the weights required to approximate a particular linear thresh- old function. We give two
The Value Function of a Mixed-Integer Linear Program with a Single Constraint
Ralphs, Ted
The Value Function of a Mixed-Integer Linear Program with a Single Constraint M. GÂ¨uzelsoy T. K. Ralphs March 27, 2008 Abstract The value function of a mixed-integer linear program (MILP) is a function this breakthrough, Blair and Jeroslow [1982] showed that the value function of a pure-integer linear program (PILP
On Efficient Agnostic Learning of Linear Combinations of Basis Functions Wee Sun Lee
Botea, Adi
On Efficient Agnostic Learning of Linear Combinations of Basis Functions Wee Sun Lee Dept learning of linear combinations of basis functions when the sum of absolute values of the weights function, then the class of linear combinations of functions from the class is efficiently agnostically
Remark on the Potential Function of the Linear Sigma Model
David Delphenich; Joseph Schechter
1997-12-08
It is shown that the potential functions for the ordinary linear sigma model can be divided into two topographically different types depending on whether the quantity $R\\equiv(m_\\sigma/m_\\pi)^2$ is greater than or less than nine. Since the Wigner-Weyl mode (R=1) and the Nambu-Goldstone mode ($R=\\infty$ belong to different regions, we speculate that this classification may provide a generalization to the broken symmetry situation, which could be convenient for roughly characterizing different possible applications of the model. It is noted that a more complicated potential does not so much change this picture as add different new regions.
Hu, Tingshu
substantially. Keywords: Linear differential inclusion, nonlinear feedback, Lyapunov functions, robust stabilityNonlinear Control Design for Linear Differential Inclusions via Convex Hull Quadratic Lyapunov Functions Tingshu Hu Abstract-- This paper presents a nonlinear control design method for robust
Daubechies wavelets for linear scaling density functional theory
Mohr, Stephan [Institut für Physik, Universität Basel, Klingelbergstr. 82, 4056 Basel (Switzerland); Univ. Grenoble Alpes, INAC-SP2M, F-38000 Grenoble, France and CEA, INAC-SP2M, F-38000 Grenoble (France); Ratcliff, Laura E.; Genovese, Luigi; Caliste, Damien; Deutsch, Thierry [Univ. Grenoble Alpes, INAC-SP2M, F-38000 Grenoble, France and CEA, INAC-SP2M, F-38000 Grenoble (France); Boulanger, Paul [Univ. Grenoble Alpes, INAC-SP2M, F-38000 Grenoble, France and CEA, INAC-SP2M, F-38000 Grenoble (France); Institut Néel, CNRS and Université Joseph Fourier, B.P. 166, 38042 Grenoble Cedex 09 (France); Goedecker, Stefan [Institut für Physik, Universität Basel, Klingelbergstr. 82, 4056 Basel (Switzerland)
2014-05-28
We demonstrate that Daubechies wavelets can be used to construct a minimal set of optimized localized adaptively contracted basis functions in which the Kohn-Sham orbitals can be represented with an arbitrarily high, controllable precision. Ground state energies and the forces acting on the ions can be calculated in this basis with the same accuracy as if they were calculated directly in a Daubechies wavelets basis, provided that the amplitude of these adaptively contracted basis functions is sufficiently small on the surface of the localization region, which is guaranteed by the optimization procedure described in this work. This approach reduces the computational costs of density functional theory calculations, and can be combined with sparse matrix algebra to obtain linear scaling with respect to the number of electrons in the system. Calculations on systems of 10?000 atoms or more thus become feasible in a systematic basis set with moderate computational resources. Further computational savings can be achieved by exploiting the similarity of the adaptively contracted basis functions for closely related environments, e.g., in geometry optimizations or combined calculations of neutral and charged systems.
Troyer, Todd W.
MAT1193 Â 1f. Linear functions (most closely related to section 1.4) Linear for this class, linear functions are the most direct way to get a handle on the idea of "rate of change." A final reason that linear functions are so important
Hafstein, SigurÃ°ur Freyr
Implementation of Simplicial Complexes for CPA functions in C++11 using the Armadillo Linear functions for autonomous non- linear systems. In (Rezaiee-Pajand and Moghad- dasie, 2012) a different studied in some de- tail recently, uses linear programming to parameterize CPA Lyapunov functions
Functional Coefficient Regression Models for Non-linear Time Series: A Polynomial
Shen, Haipeng
Functional Coefficient Regression Models for Non-linear Time Series: A Polynomial Spline Approach of functional coefficient regression models for non-linear time series. Consistency and rate of convergence to estimate the coefficient functions. Cai et al. (2000) and Chen & Liu (2001) used the local linear method
Generalized Functional Linear Models Hans-Georg Muller (UC Davis) und U. Stadtmuller
Ulm, Universität
Generalized Functional Linear Models Hans-Georg M¨uller (UC Davis) und U. Stadtm¨uller Preprint FUNCTIONAL LINEAR MODELS Hans-Georg M¨uller1 and Ulrich Stadtm¨uller2 March 2004 1Department of Statistics. Wahrscheinlichkeitstheorie, Universit¨at Ulm, 89069 Ulm, Germany #12;ABSTRACT We propose a generalized functional linear
On Piecewise Quadratic Control-Lyapunov Functions for Switched Linear Systems
Abate, Alessandro
On Piecewise Quadratic Control-Lyapunov Functions for Switched Linear Systems Wei Zhang, Alessandro-quadratic Lyapunov functions and piecewise-linear continuous-control laws for convenience or heuristic reasons of the converse Lyapunov function theorems for switched linear systems. In [13], [14], it is proved
GENERALIZED FUNCTIONAL LINEAR MODELS Hans-Georg Muller1 and Ulrich Stadtmuller2
Müller, Hans-Georg
GENERALIZED FUNCTIONAL LINEAR MODELS Hans-Georg M¨uller1 and Ulrich Stadtm¨uller2 March 2004 1 a generalized functional linear regression model for a regression situation where the response variable is a scalar and the predictor is a random function. A linear predictor is obtained by forming the scalar
Mukamel, Shaul
Optical response functions for condensed systems with linear and quadratic electron requires, in part, linear response 2-point correlation functions, J(t;T). An approximate excited state that is acceptable for mode frequency changes smaller than 30%. The associated linear response function for the case
Linear response functions to project contributions to future Ricarda Winkelmann Anders Levermann
Levermann, Anders
Linear response functions to project contributions to future sea level Ricarda Winkelmann Â· Anders linear response functions to separately estimate the sea-level contributions of thermal expansion to sea- level rise considered here, we will restrict the approach to linear response functions
Quantum algorithms to check Resiliency, Symmetry and Linearity of a Boolean function
International Association for Cryptologic Research (IACR)
Quantum algorithms to check Resiliency, Symmetry and Linearity of a Boolean function Kaushik algorithms to check the order of resiliency, symmetry and linearity of a Boolean function that is available be exploited to check whether a Boolean function is symmetric (respectively linear) or not. Given a Boolean
Linear response time-dependent density functional theory for van der Waals coefficients
Chu, Xi
Linear response time-dependent density functional theory for van der Waals coefficients X. Chu Received 9 January 2004; accepted 15 June 2004 A linear response time-dependent density functional theory description of the linear response function and of the induced self- consistent field, which adequately
Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
Mao-Zhi Yang
2012-01-30
With the decay constants of $D$ and $D_s$ mesons measured in experiment recently, we revisit the study of the bound states of quark and antiquark in $B$ and $D$ mesons in the relativistic potential model. The relativistic bound state wave equation is solved numerically. The masses, decay constants and wave functions of $B$ and $D$ mesons are obtained. Both the masses and decay constants obtained here can be consistent with the experimental data. The wave functions can be used in the study of $B$ and $D$ meson decays.
Hoeij, Mark van
Functions Closed Form Solutions of Linear Difference Equations Yongjae Cha Florida State University Yongjae Liouvillian 7 Special Functions Yongjae Cha Closed Form Solutions of Linear Difference Equations #12 Operator Example Transformations Main Idea Invariant Local Data Liouvillian Special Functions Linear
Miller, William H.
Linearized semiclassical initial value time correlation functions with maximum entropy analytic procedure to be a very significant enhancement of the LSC-IVR for correlation functions of both linear method is used to extend the range of accuracy of the linearized semiclassical initial value
Non-linear fractal interpolating functions of one and two variables
R. Kobes; A. J. Penner
2003-06-10
We consider non-linear generalizations of fractal interpolating functions applied to functions of one and two variables. The use of such interpolating functions in resizing images is illustrated.
Deviations from piecewise linearity in the solid-state limit with approximate density functionals
Baer, Roi
Deviations from piecewise linearity in the solid-state limit with approximate density functionals (2015) Deviations from piecewise linearity in the solid-state limit with approximate density functionals functional methods J. Chem. Phys. 141, 124123 (2014); 10.1063/1.4896455 Thermally-assisted-occupation density
International Association for Cryptologic Research (IACR)
Analysis of ARX Functions: Pseudo-linear Methods for Approximation, Differentials, and Evaluating for substitution box table lookups. Computing the non-linear function in memory is also a means of defense against , where 1 w n, in ARX functions that use large words (e.g., 32-bit words or 64-bit words). Three main
Construction of Lyapunov functions for nonlinear planar systems by linear programming
Hafstein, SigurÃ°ur Freyr
Construction of Lyapunov functions for nonlinear planar systems by linear programming Peter Giesl]. In [12], Johansen uses linear programming to parameterise Lyapunov functions for autonomous nonlinear by designing an algorithm to explicitly construct such a Lyapunov function. We do this by modifying
Dyna-Style Planning with Linear Function Approximation and Prioritized Sweeping
Szepesvari, Csaba
Dyna-Style Planning with Linear Function Approximation and Prioritized Sweeping Richard S. Sutton to linear function approximation. Dyna- style planning proceeds by generating imaginary experience from Abstract We consider the problem of efficiently learning optimal control policies and value functions over
A LYAPUNOV FUNCTION FOR SYSTEMS WHOSE LINEAR PART IS ALMOST CLASSICALLY DAMPED
Cox, Steven J.
A LYAPUNOV FUNCTION FOR SYSTEMS WHOSE LINEAR PART IS ALMOST CLASSICALLY DAMPED Steven J. Coxy) Spain Abstract: We show that one may construct a Lyapunov function for any classically damped linear system. The explicit nature of the construction permits us to show that it remains a Lyapunov function
Notes on ICNS 100 Chapter 3: 3.2 Applications and Linear Functions
Santipach, - Wiroonsak
(5) Notes on ICNS 100 Chapter 3: 3.2 Applications and Linear Functions 1. Law of Demand: For each will the quantity supplied. Therefore, a supply curve usually rises from left to right. 3. A function f is a linear and a = 0. Example Find f(x) if f is a linear function that has the given properties. (a) slope = -2 and f
Quantum tests for the linearity and permutation invariance of Boolean functions
Mark Hillery; Erika Andersson
2011-12-29
The goal in function property testing is to determine whether a black-box Boolean function has a certain property or is epsilon-far from having that property. The performance of the algorithm is judged by how many calls need to be made to the black box in order to determine, with high probability, which of the two alternatives is the case. Here we present two quantum algorithms, the first to determine whether the function is linear and the second to determine whether it is symmetric (invariant under permutations of the arguments). Both require O(epsilon^{-2/3}) calls to the oracle, which is better than known classical algorithms. In addition, in the case of linearity testing, if the function is linear, the quantum algorithm identifies which linear function it is. The linearity test combines the Bernstein-Vazirani algorithm and amplitude amplification, while the test to determine whether a function is symmetric uses projective measurements and amplitude amplification.
Linear Homeomorphisms of Some Classical Families of Univalent Functions Frederick W. Hartmann
Hartmann, Frederick
Linear Homeomorphisms of Some Classical Families of Univalent Functions Frederick W. Hartmann FUNCTIONS FREDERICK W. HARTMANN ABSTRACT.The extreme points of the closed convex hull of some classical
BenAbdallah, Abdallah [Institut superieur d'informatique et multimedia de Sfax BP 242-3021 (Tunisia); Hammami, Mohamed Ali [Faculty of Sciences of Sfax, BP 802-3018 Sfax (Tunisia); Kallel, Jalel [Institut preparatoire aux etudes d'ingenieurs de Sfax BP 1172-3018 (Tunisia)
2009-03-05
In this paper we present some sufficient conditions for the robust stability and stabilization of time invariant uncertain piecewise linear system using homogenous piecewise polynomial Lyapunov function. The proposed conditions are given in terms of linear matrix inequalities which can be numerically solved. An application of the obtained result is given. It consists in resolving the stabilization of piecewise uncertain linear control systems by using a state piecewise linear feedback.
Bent functions at the minimal distance and algorithms of constructing linear codes for
International Association for Cryptologic Research (IACR)
1 Bent functions at the minimal distance and algorithms of constructing linear codes for CDMA 1 In this paper we study linear codes for CDMA (Code Division Multiple Access). This is the standard for the 3rd Generation cellular communications systems. In this standard bent functions are used for constructing codes
Miller, William H.
of linearization of the general SC-IVR expression for the reactive flux correlation function (which is related10ARTICLES Generalization of the Linearized Approximation to the Semiclassical Initial Value Representation for Reactive Flux Correlation Functions William H. Miller Department of Chemistry, Uni
Mukamel, Shaul
Nonlinear optical response functions for a chromophore with linear and quadratic electron for the third-order response function of a two-electronic level chromophore are investigated. The first assumes an excited state vibrational Hamiltonian whose phonon modes exhibit both linear and diagonal quadratic
Theory and Application of Linear Supply Function Equilibrium in Electricity Markets
Baldick, Ross
Theory and Application of Linear Supply Function Equilibrium in Electricity Markets Ross Baldick Department of Electrical and Computer Engineering, The University of Texas at Austin, 1 University Station C equilibrium (SFE) model of interaction in an electricity market. We assume a linear demand function
Linear response of homogeneous nuclear matter with energy density functionals
A. Pastore; D. Davesne; J. Navarro
2014-12-07
Response functions of infinite nuclear matter with arbitrary isospin asymmetry are studied in the framework of the random phase approximation. The residual interaction is derived from a general nuclear Skyrme energy density functional. Besides the usual central, spin-orbit and tensor terms it could also include other components as new density-dependent terms or three-body terms. Algebraic expressions for the response functions are obtained from the Bethe-Salpeter equation for the particle-hole propagator. Applications to symmetric nuclear matter, pure neutron matter and asymmetric nuclear matter are presented and discussed. Spin-isospin strength functions are analyzed for varying conditions of density, momentum transfer, isospin asymmetry, and temperature for some representative Skyrme functionals. Particular attention is paid to the discussion of instabilities, either real or unphysical, which could manifest in finite nuclei.
tan\\beta\\ determination from the Higgs boson decay at the International Linear Collider
Yokoya, Hiroshi
2014-01-01
We study the methods and their accuracies for determining tan\\beta\\ in two Higgs doublet models at future lepton colliders. In addition to the previously proposed methods using direct production of additional Higgs bosons, we propose a method using the precision measurement of the decay branching ratio of the standard-model (SM)-like Higgs boson. The method is available if there is a deviation from the SM in the coupling constants of the Higgs boson with the weak gauge bosons. We find that, depending on the type of Yukawa interactions, this method can give the best sensitivity in a wide range of tan\\beta.
Linear response strength functions with iterative Arnoldi diagonalization
J. Toivanen; B. G. Carlsson; J. Dobaczewski; K. Mizuyama; R. R. Rodriguez-Guzman; P. Toivanen; P. Vesely
2009-12-16
We report on an implementation of a new method to calculate RPA strength functions with iterative non-hermitian Arnoldi diagonalization method, which does not explicitly calculate and store the RPA matrix. We discuss the treatment of spurious modes, numerical stability, and how the method scales as the used model space is enlarged. We perform the particle-hole RPA benchmark calculations for double magic nucleus 132Sn and compare the resulting electromagnetic strength functions against those obtained within the standard RPA.
Functions Represent SiPM Response Especially Linear Behavior After Saturation
Kotera, Katsushige; Takeshita, Tohru
2015-01-01
We developed functions to represent wide ranges of SiPM responses. The functions model reactivation of pixels of the SiPM during each incident event. Because the number of detected photons by reactivation increases rationally and linearly in our model, the linear behavior of SiPM response after saturation, for which the reason was unknown, can be represented with our functions. From 72 samples of SiPM responses, the functions were tested. They showed their high performance with one additional correction to the simple function.
SiPM Response Functions Representing Wide Range Including Linear Behavior After Saturation
Katsushige Kotera; Weonseok Choi; Tohru Takeshita
2015-10-13
We developed functions to represent wide ranges of SiPM responses. The functions model reactivation of pixels of the SiPM during each incident event. Because the number of detected photons by reactivation increases rationally and linearly in our model, the linear behavior of SiPM response after saturation, for which the reason was unknown, can be represented with our functions. From 72 samples of SiPM responses, the functions were tested. They showed their high performance with one additional correction to the simple function.
Rare Decay of the Top t->c l lbar and Single Top Production at International Linear Collider
Mariana Frank; Ismail Turan
2006-10-17
We perform a complete and detailed analysis of the flavor changing neutral current rare top quark decays t-> cl+l- and t->c nu_i bar nu_i at one-loop level in the Standard Model, Two Higgs Doublet Models (I and II) and in MSSM. The branching ratios are very small in all models, O(10^-14), except for the case of the unconstrained MSSM, where they can reach O(10^-6) for e+e- and nu_i bar nu_i, and O(10^-5) for tau+ tau-. This branching ratio is comparable to the ones for t-> c V, cH. We also study the production rates of single top and the forward-backward asymmetry in e+e- -> t cbar and comment on the observability of such a signal at the International Linear Collider.
Linear Algebraic Calculation of Green's function for Large-Scale Electronic Structure Theory
Hoshi, Takeo
Linear Algebraic Calculation of Green's function for Large-Scale Electronic Structure Theory R (Dated: March 2, 2006) A linear algebraic method named the shifted conjugate-orthogonal-conjugate-gradient method is introduced for large-scale electronic structure calculation. The method gives an iterative
Determination of linear optics functions from TBT data
Alexahin, Y.; Gianfelice-Wendt, E.; /Fermilab
2006-05-01
A method for evaluation of coupled optics functions, detection of strong perturbing elements, determination of BPM calibration errors and tilts using turn-by-turn (TBT) data is presented as well as the new version of the Hamiltonian perturbation theory of betatron oscillations the method is based upon. An example of application of the considered method to the Tevatron is given.
Momentum dependence of the spectral functions in the O(4) linear sigma model at finite temperature
Yoshimasa Hidaka; Osamu Morimatsu; Tetsuo Nishikawa
2003-04-09
The spatial momentum dependence of the spectral function for pi and sigma at finite temperature is studied by employing the O(4) linear sigma model and adopting a resummation technique called optimized perturbation theory (OPT).
On the Green function of linear evolution equations for a region with a boundary
George Krylov; Marko Robnik
2000-03-30
We derive a closed-form expression for the Green function of linear evolution equations with the Dirichlet boundary condition for an arbitrary region, based on the singular perturbation approach to boundary problems.
Linear relations among 4-point functions in the high energy limit of string theory
Pei-Ming Ho; Xue-Yan Lin
2006-05-30
The decoupling of zero-norm states leads to linear relations among 4-point functions in the high energy limit of string theory. Recently it was shown that the linear relations uniquely determine ratios among 4-point functions at the leading order. The purpose of this paper is to extend the validity of the same approach to the next-to-leading order and higher orders.
Lyapunov Functions in Piecewise Linear Systems: From Fixed Point to Limit Cycle
Yian Ma; Ruoshi Yuan; Yang Li; Ping Ao; Bo Yuan
2013-06-28
This paper provides a first example of constructing Lyapunov functions in a class of piecewise linear systems with limit cycles. The method of construction helps analyze and control complex oscillating systems through novel geometric means. Special attention is stressed upon a problem not formerly solved: to impose consistent boundary conditions on the Lyapunov function in each linear region. By successfully solving the problem, the authors construct continuous Lyapunov functions in the whole state space. It is further demonstrated that the Lyapunov functions constructed explain for the different bifurcations leading to the emergence of limit cycle oscillation.
Anisotropic Mobility Model for Polymers under Shear and its Linear Response Functions
Takashi Uneyama; Kazushi Horio; Hiroshi Watanabe
2011-04-19
We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our model. We utilize recently developed linear response theories for nonequilibrium systems to calculate linear response functions. Our results are qualitatively consistent with experimental results. We show that our anisotropic mobility model can reproduce essential dynamical nature of polymers under shear qualitatively. We compare our model with other models or theories such as the convective constraint release model or nonequilibrium linear response theories.
Chu, Shih-I
Time-dependent localized Hartree-Fock density-functional linear response approach-dependent localized Hartree-Fock density-functional linear response approach for the treatment of photoionization, density-functional theory DFT com- bined with linear response approximation LRA 1,2 has been successfully
Helgaker, Trygve
Erratum: "Density-functional and electron correlated study of five linear birefringences.6 nm . The effect of electron correlation depends strongly on the functional, leading t
The Green's function for the three-dimensional linear Boltzmann equation via Fourier transform
Manabu Machida
2015-10-03
The linear Boltzmann equation with constant coefficients in the three-dimensional infinite space is revisited. It is known that the Green's function can be calculated via the Fourier transform in the case of isotropic scattering. In this paper, we show that the three-dimensional Green's function can be computed with the Fourier transform even in the case of arbitrary anisotropic scattering.
Probabilistic Planning with Non-Linear Utility Functions and Worst-Case Guarantees
Vladimirsky, Alexander
Probabilistic Planning with Non-Linear Utility Functions and Worst-Case Guarantees Stefano Ermon Keywords Planning, Utility Functions, Constraints 1. INTRODUCTION Markov Decision Processes (MDPs) are one Decision Processes are one of the most widely used frameworks to formulate probabilistic planning problems
A quantum algorithm to approximate the linear structures of Boolean functions
Hong-Wei Li; Li Yang
2015-01-20
We present a quantum algorithm for approximating the linear structures of a Boolean function $f$. Different from previous algorithms (such as Simon's and Shor's algorithms) which rely on restrictions on the Boolean function, our algorithm applies to every Boolean function with no promise. Here, our methods are based on the result of the Bernstein-Vazirani algorithm which is to identify linear Boolean functions and the idea of Simon's period-finding algorithm. More precisely, how the extent of approximation changes over the time is obtained, and meanwhile we also get some quasi linear structures if there exists. Next, we obtain that the running time of the quantum algorithm to thoroughly determine this question is related to the relative differential uniformity $\\delta_f$ of $f$. Roughly speaking, the smaller the $\\delta_f$ is, the less time will be needed.
Energy Density Functional Study of Nuclear Matrix Elements for Neutrinoless {beta}{beta} Decay
Rodriguez, Tomas R. [GSI Helmholtzzentrum fuer Schwerionenforschung, D-64259 Darmstadt (Germany); Departamento de Fisica Teorica, Universidad Autonoma de Madrid, E-28049 Madrid (Spain); CEA, Irfu, SPhN, Centre de Saclay, F-911191 Gif-sur-Yvette (France); Martinez-Pinedo, Gabriel [GSI Helmholtzzentrum fuer Schwerionenforschung, D-64259 Darmstadt (Germany)
2010-12-17
We present an extensive study of nuclear matrix elements (NME) for the neutrinoless double-beta decay of the nuclei {sup 48}Ca, {sup 76}Ge, {sup 82}Se, {sup 96}Zr, {sup 100}Mo, {sup 116}Cd, {sup 124}Sn, {sup 128}Te, {sup 130}Te, {sup 136}Xe, and {sup 150}Nd based on state-of-the-art energy density functional methods using the Gogny D1S functional. Beyond-mean-field effects are included within the generating coordinate method with particle number and angular momentum projection for both initial and final ground states. We obtain a rather constant value for the NMEs around 4.7 with the exception of {sup 48}Ca and {sup 150}Nd, where smaller values are found. We analyze the role of deformation and pairing in the evaluation of the NME and present detailed results for the decay of {sup 150}Nd.
Estelle Basor; Yang Chen
2008-11-04
In this paper we study the characteristic or generating function of a certain discontinuous linear statistics of the Laguerre unitary ensembles and show that this is a particular fifth Painl\\'eve transcendant in the variable $t,$ the position of the discontinuity. The proof of the ladder operators adapted to orthogonal polynomial with discontinuous weight announced sometime ago is presented here, followed by the non-linear difference equations satisfied by two auxiliary quantities and the derivation of the Painl\\'eve equation.
Linear-response calculation in the time-dependent density functional theory
Takashi Nakatsukasa; Tsunenori Inakura; Paolo Avogadro; Shuichiro Ebata; Koichi Sato; Kazuhiro Yabana
2012-09-22
Linear response calculations based on the time-dependent density-functional theory are presented. Especially, we report results of the finite amplitude method which we have recently proposed as an alternative and feasible approach to the (quasiparticle-)random-phase approximation. Calculated properties of the giant resonances and low-energy E1 modes are discussed. We found a universal linear correlation between the low-energy E1 strength and the neutron skin thickness.
Structure functions of the 2d O(n) non-linear sigma models
Janos Balog; Peter Weisz
2004-09-08
We investigate structure functions in the 2-dimensional (asymptotically free) non-linear O(n) sigma-models using the non-perturbative S-matrix bootstrap program. In particular the exact small (Bjorken) x behavior is derived. Structure functions in the special case of the n=3 model are accurately computed over the whole x range for $-q^2/M^2functions in the 1/n approximation are also presented.
'Syncing' Up with the Quinn-Rand-Strogatz Constant: Hurwitz-Zeta Functions in Non-Linear physics
Durgin, Natalie J.; Garcia, Sofia M.; Flournoy, Tamara; Bailey, David H.
2008-01-01
Functions in Non-Linear Physics Natalie J. Durgin Harveyconstants from non-linear physics. The QRS con- stants (cconstant of nonlinear physics, unpublished, 1–18, 2007. D.
Miller, William H.
Real time correlation function in a single phase space integral beyond the linearized semiclassical anharmonic model problems, and for each the momentum autocorrelation function i.e., operators linear quantum mechanical time correlation functions defined, e.g., in Eq. 1.1 can be expressed, without
Truhlar, Donald G
-dependent density functional theory: Linear response of the ground state compared to collinear and noncollinear spin, carbonyl compounds, and azabenzenes by time-dependent density functional theory: Linear response; accepted 13 March 2013; published online 3 April 2013) Time-dependent density functional theory (TDDFT
Non-linear diffusion in RD and in Hilbert Spaces, a Cylindrical/Functional Integral Study
Luiz Carlos Lobato Botelho
2012-07-02
We present a proof for the existence and uniqueness of weak solutions for a cut-off and non cut-off model of non-linear diffusion equation in finite-dimensional space RD useful for modelling flows on porous medium with saturation, turbulent advection, etc. - and subject to deterministic or stochastic (white noise) stirrings. In order to achieve such goal, we use the powerful results of compacity on functional Lp spaces (the Aubin-Lion Theorem). We use such results to write a path-integral solution for this problem. Additionally, we present the rigourous functional integral solutions for the Linear Diffussion equation defined in Infinite-Dimensional Spaces (Separable Hilbert Spaces). These further results are presented in order to be useful to understand Polymer cylindrical surfaces probability distributions and functionals on String theory.
Pseudoscalar Mesons in the SU(3) Linear Sigma Model with Gaussian Functional Approximation
Hua-Xing Chen; V. Dmitrasinovic; Hiroshi Toki
2010-04-13
We study the SU(3) linear sigma model for the pseudoscalar mesons in the Gaussian Functional Approximation (GFA). We use the SU(3) linear sigma model Lagrangian with nonet scalar and pseudo-scalar mesons including symmetry breaking terms. In the GFA, we take the Gaussian Ansatz for the ground state wave function and apply the variational method to minimize the ground state energy. We derive the gap equations for the dressed meson masses, which are actually just variational parameters in the GFA method. We use the Bethe-Salpeter equation for meson-meson scattering which provides the masses of the physical nonet mesons. We construct the projection operators for the flavor SU(3) in order to work out the scattering T-matrix in an efficient way. In this paper, we discuss the properties of the Nambu-Goldstone bosons in various limits of the chiral $U_L(3)\\times U_R(3)$ symmetry.
Miller, William H.
-IVR is approximate. Some of the correlation functions involve only linear operators, and others involve nonlinearTest of the consistency of various linearized semiclassical initial value time correlation functions in application to inelastic neutron scattering from liquid para-hydrogen Jian Liua and William H
Generalized second law at linear order for actions that are functions of Lovelock densities
Sudipta Sarkar; Aron C. Wall
2015-05-19
In this article we consider the second law of black holes (and other causal horizons) in theories where the gravitational action is an arbitrary function of the Lovelock densities. We show that there exists an entropy which increases locally, for linearized perturbations to regular Killing horizons. In addition to a classical increase theorem, we also prove a generalized second law for semiclassical, minimally-coupled matter fields.
Fukushima, Kimichika
2015-01-01
This paper presents analytical eigenenergies for a pair of confined fundamental fermion and antifermion under a linear potential derived from the Wilson loop for the non-Abelian Yang-Mills field. We use basis functions localized in spacetime, and the Hamiltonian matrix of the Dirac equation is analytically diagonalized. The squared system eigenenergies are proportional to the string tension and the absolute value of the Dirac's relativistic quantum number related to the total angular momentum, consistent with the expectation.
MULTIPASS MUON RLA RETURN ARCS BASED ON LINEAR COMBINED-FUNCTION MAGNETS
Vasiliy Morozov, Alex Bogacz, Yves Roblin, Kevin Beard
2011-09-01
Recirculating Linear Accelerators (RLA) are an efficient way of accelerating short-lived muons to the multi-GeV energies required for Neutrino Factories and TeV energies required for Muon Colliders. In this paper we present a design of a two-pass RLA return arc based on linear combined function magnets, in which both charge muons with momenta different by a factor of two are transported through the same string of magnets. The arc is composed of 60{sup o}-bending symmetric super cells allowing for a simple arc geometry closing. By adjusting the dipole and quadrupole components of the combined-function magnets, each super cell is designed to be achromatic and to have zero initial and final periodic orbit offsets for both muon momenta. Such a design provides a greater compactness than, for instance, an FFAG lattice with its regular alternating bends and is expected to possess a large dynamic aperture characteristic of linear-field lattices.
Yao, J M; Hagino, K; Ring, P; Meng, J
2014-01-01
We report a systematic study of nuclear matrix elements (NMEs) in neutrinoless double-beta decays with state-of-the-art beyond mean-field covariant density functional theory. The dynamic effects of particle-number and angular-momentum conservations as well as quadrupole shape fluctuations are taken into account with projections and generator coordinate method for both initial and final nuclei. The full relativistic transition operator is adopted to calculate the NMEs which are found to be consistent with the results of previous beyond non-relativistic mean-field calculation based on a Gogny force with the exception of $^{150}$Nd. Our study shows that the total NMEs can be well approximated by the pure axial-vector coupling term, the calculation of which is computationally much cheaper than that of full terms.
Linear response theory and neutrino mean free path using Brussels-Montreal Skyrme functionals
A. Pastore; M. Martini; D. Davesne; J. Navarro; S. Goriely; N. Chamel
2014-08-12
The Brussels-Montreal Skyrme functionals have been successful to describe properties of both finite nuclei and infinite homogeneous nuclear matter. In their latest version, these functionals have been equipped with two extra density-dependent terms in order to reproduce simultaneously ground state properties of nuclei and infinite nuclear matter properties while avoiding at the same time the arising of ferromagnetic instabilities. In the present article, we extend our previous results of the linear response theory to include such extra terms at both zero and finite temperature in pure neutron matter. The resulting formalism is then applied to derive the neutrino mean free path. The predictions from the Brussels-Montreal Skyrme functionals are compared with ab-initio methods.
Fejos, G
2015-01-01
Temperature dependence of the $U_A(1)$ anomaly is investigated by taking into account mesonic fluctuations in the $U(3)\\times U(3)$ linear sigma model. A field dependent anomaly coefficient function of the effective potential is calculated within the finite temperature functional renormalization group approach. The applied approximation scheme is a generalization of the chiral invariant expansion technique developed in [G. Fej\\H{o}s, Phys. Rev. D 90, 096011 (2014)]. We provide an analytic expression and also numerical evidence that depending on the relationship between the two quartic couplings, mesonic fluctuations can either strengthen of weaken the anomaly as a function of the temperature. Role of the six-point invariant of the $U(3)\\times U(3)$ group, and therefore the stability of the chiral expansion is also discussed in detail.
G. Fejos
2015-08-31
Temperature dependence of the $U_A(1)$ anomaly is investigated by taking into account mesonic fluctuations in the $U(3)\\times U(3)$ linear sigma model. A field dependent anomaly coefficient function of the effective potential is calculated within the finite temperature functional renormalization group approach. The applied approximation scheme is a generalization of the chiral invariant expansion technique developed in [G. Fejos, Phys. Rev. D 90, 096011 (2014)]. We provide an analytic expression and also numerical evidence that depending on the relationship between the two quartic couplings, mesonic fluctuations can either strengthen of weaken the anomaly as a function of the temperature. The role of the six-point invariant of the $U(3)\\times U(3)$ group, and therefore the stability of the chiral expansion is also discussed in detail.
G. Fejos
2015-06-29
Temperature dependence of the $U_A(1)$ anomaly is investigated by taking into account mesonic fluctuations in the $U(3)\\times U(3)$ linear sigma model. A field dependent anomaly coefficient function of the effective potential is calculated within the finite temperature functional renormalization group approach. The applied approximation scheme is a generalization of the chiral invariant expansion technique developed in [G. Fejos, Phys. Rev. D 90, 096011 (2014)]. We provide an analytic expression and also numerical evidence that depending on the relationship between the two quartic couplings, mesonic fluctuations can either strengthen of weaken the anomaly as a function of the temperature. Role of the six-point invariant of the $U(3)\\times U(3)$ group, and therefore the stability of the chiral expansion is also discussed in detail.
Baer, Roi
Real-time linear response for time-dependent density-functional theory Roi Baer Department a linear-response approach for time-dependent density-functional theories using time-adiabatic functionals describing the evolution is not strictly linear in the wave function representation. Only after going
Karl B. Fisher
1994-12-20
The relation between the galaxy correlation function in real and redshift-space is derived in the linear regime by an appropriate averaging of the joint probability distribution of density and velocity. The derivation recovers the familiar linear theory result on large scales but has the advantage of clearly revealing the dependence of the redshift distortions on the underlying peculiar velocity field; streaming motions give rise to distortions of ${\\cal O}(\\Omega^{0.6}/b)$ while variations in the anisotropic velocity dispersion yield terms of order ${\\cal O}(\\Omega^{1.2}/b^2)$. This probabilistic derivation of the redshift-space correlation function is similar in spirit to the derivation of the commonly used ``streaming'' model, in which the distortions are given by a convolution of the real-space correlation function with a velocity distribution function. The streaming model is often used to model the redshift-space correlation function on small, highly non-linear, scales. There have been claims in the literature, however, that the streaming model is not valid in the linear regime. Our analysis confirms this claim, but we show that the streaming model can be made consistent with linear theory {\\it provided} that the model for the streaming has the functional form predicted by linear theory and that velocity distribution is chosen to be a Gaussian with the correct linear theory dispersion.
Likos, Christos N.
Density-functional theory of freezing of quantum liquids at zero temperature using exact liquid-functional theory to study the freezing of superfluid 4 He, charged bosons, and charged fermions at zero temperature-functional theory of freezing that involve linear response, all fail to correctly describe the crystalliza- tion
The two-loop soft function for heavy quark pair production at future linear colliders
Andreas von Manteuffel; Robert M. Schabinger; Hua Xing Zhu
2015-09-21
We report on the calculation of the threshold soft function for heavy quark pair production in e+ e- annihilation at two-loop order. Our main result is a generalization of the familiar Drell-Yan threshold soft function to the case of non-zero primary quark mass. We set up a framework based on the method of differential equations which allows for the straightforward calculation of the bare soft function to arbitrarily high orders in the dimensional regularization parameter. Remarkably, we find that we can obtain the bare two-loop Drell-Yan soft function from the heavy quark soft function to the order in epsilon required for a two-loop calculation by making simple replacements. We expect that our results will be of use, both as an important input for precision physics calculations at linear colliders and, more formally, as a first step towards a better understanding of the connection between vacuum matrix elements of massive soft Wilson lines and vacuum matrix elements of massless soft Wilson lines.
The non-linear correlation function and the shapes of virialized halos
Ravi K. Sheth; Bhuvnesh Jain
1996-02-20
The correlation function xi(r) of matter in the non-linear regime is assumed to be determined by the density profiles rho(r) and the mass distribution n(M) of virialized halos. The Press--Schechter approach is used to compute n(M), and the stable clustering hypothesis is used to determine the density profiles of these Press--Schechter halos. Thus, the shape and amplitude of xi(r) on small scales is related to the initial power spectrum of density fluctuations. The case of clustering from scale-free initial conditions is treated in detail. If n is the slope of the initial power spectrum of density fluctuations, then stable clustering requires that xi(r)\\propto r^{-gamma}, where gamma is a known function of n. If halo--halo correlations can be neglected, then rho(r)\\propto r^{-epsilon}, where epsilon = (gamma+3)/2 = 3(4+n)/(5+n). For all values of n of current interest, this slope is steeper than the value 3(3+n)/(4+n) that was obtained by Hoffman & Shaham in their treatment of the shapes of the outer regions of collapsed halos. Our main result is a prediction for the amplitude of the non-linear correlation function. The predicted amplitude and its dependence on n are in good quantitative agreement with N-body simulations of self-similar clustering. If stable clustering is a good approximation only inside the half-mass radii of Press--Schechter halos, then the density contrast required for the onset of stable clustering can be estimated. This density contrast is in the range ~300-600 and increases with the initial slope n, in agreement with estimates from N-body simulations.
A. Frommer; K. Kahl; Th. Lippert; H. Rittich
2012-12-03
The Lanczos process constructs a sequence of orthonormal vectors v_m spanning a nested sequence of Krylov subspaces generated by a hermitian matrix A and some starting vector b. In this paper we show how to cheaply recover a secondary Lanczos process starting at an arbitrary Lanczos vector v_m. This secondary process is then used to efficiently obtain computable error estimates and error bounds for the Lanczos approximations to the action of a rational matrix function on a vector. This includes, as a special case, the Lanczos approximation to the solution of a linear system Ax = b. Our approach uses the relation between the Lanczos process and quadrature as developed by Golub and Meurant. It is different from methods known so far because of its use of the secondary Lanczos process. With our approach, it is now in particular possible to efficiently obtain {\\em upper bounds} for the error in the {\\em 2-norm}, provided a lower bound on the smallest eigenvalue of $A$ is known. This holds in particular for a large class of rational matrix functions including best rational approximations to the inverse square root and the sign function. We compare our approach to other existing error estimates and bounds known from the literature and include results of several numerical experiments.
Study of Hadrons Using the Gaussian Functional Method in the O(4) Linear $?$ Model
Hua-Xing Chen; Shotaro Imai; Hiroshi Toki; Li-Sheng Geng
2014-10-27
We study properties of hadrons in the O(4) linear $\\sigma$ model, where we take into account fluctuations of mesons around their mean field values using the Gaussian functional (GF) method. In the GF method we calculate dressed $\\sigma$ and $\\pi$ masses, where we include the effect of fluctuations of mesons to find a better ground state wave function than the mean field approximation. Then we solve the Bethe-Salpeter equations and calculate physical $\\sigma$ and $\\pi$ masses. We recover the Nambu-Goldstone theorem for the physical pion mass to be zero in the chiral limit. The $\\sigma$ meson is a strongly correlated meson-meson state, and has a 4 quark structure. We calculate $\\sigma$ and $\\pi$ masses as functions of temperature for the two cases of chiral limit and explicit chiral symmetry breaking. We get similar behaviors for the $\\sigma$ and $\\pi$ masses as the case of the mean field approximation, but the coupling constants are much larger than the values of the case of the mean field approximation.
John, Volker
48 2 Functional Analysis for Linear Saddle Point Problems 2.4 Examples of Pairs of Finite Element Spaces Violating the Discrete Inf-Sup Condition Remark 2.50. On simple pairs of finite element spaces. The simplest and most common finite element spaces are spaces of continuous functions which are piecewise
DYNAMICAL SYSTEMS ON LATTICES WITH DECAYING INTERACTION I: A FUNCTIONAL ANALYSIS
that with the definitions we take, the systems satisfy good estimates, very similar to the estimates satisfied by finite this framework to obtain a theory of hyperbolic sets with decay, in partic- ular, their structural stability
Precision and functional specificity in mRNA decay , Chih Long Liu
Herschlag, Dan
by the rate at which it is produced, but also by its rate of degradation. mRNA decay rates determine how by hot phenol extraction (16). Microarray Analysis. Yeast DNA microarrays were produced and hybridized
D. Davesne; A. Pastore; J. Navarro
2014-02-18
The formalism of linear response theory for a Skyrme functional including spin-orbit and tensor terms is generalized to the case of infinite nuclear matter with arbitrary isospin asymmetry. Response functions are obtained by solving an algebraic system of equations, which is explicitly given. Spin-isospin strength functions are analyzed varying the conditions of density, momentum transfer, asymmetry and temperature. The presence of instabilities, including the spinodal one, is studied by means of the static susceptibility.
The Komar mass function in the de-Rham-Gabadadze-Tolley non-linear theory of massive gravity
Ivan Arraut
2014-12-10
I derive the Komar mass/function for the Schwarszchild de-Sitter (S-dS) black-hole inside the dRGT non-linear theory of massive gravity by taking the usual notion of time-like Killing vector in unitary gauge. The dRGT Komar function depends on the dynamics of the St\\"uckelberg fields through the gauge transformation function. It goes to the standard value obtained in General Relativity (GR) if the spatial derivative of the gauge function vanishes. In such a case, the (gauge) function corresponds to the usual notion of time as in GR.
Senjean, Bruno; Alam, Md Mehboob; Knecht, Stefan; Fromager, Emmanuel
2015-01-01
The combination of a recently proposed linear interpolation method (LIM) [Senjean et al., Phys. Rev. A 92, 012518 (2015)], which enables the calculation of weight-independent excitation energies in range-separated ensemble density-functional approximations, with the extrapolation scheme of Savin [J. Chem. Phys. 140, 18A509 (2014)] is presented in this work. It is shown that LIM excitation energies vary quadratically with the inverse of the range-separation parameter mu when the latter is large. As a result, the extrapolation scheme, which is usually applied to long-range interacting energies, can be adapted straightforwardly to LIM. This extrapolated LIM (ELIM) has been tested on a small test set consisting of He, Be, H2 and HeH+. Relatively accurate results have been obtained for the first singlet excitation energies with the typical mu=0.4 value. The improvement of LIM after extrapolation is remarkable, in particular for the doubly-excited 2^1Sigma+g state in the stretched H2 molecule. Three-state ensemble ...
Miller, Damon A.
. To experimentally measure and use an equivalent circuit representation for circuit analysis. 8. To improve circuit of Figure 1 to represent the small signal operation (i.e. in the LINEAR region) of the amplifier© 2012 Damon A. Miller Page 1 of 4 4: Transfer Functions, Parameters, and Equivalent Circuits
FAST ALTERNATING LINEARIZATION METHODS FOR MINIMIZING THE SUM OF TWO CONVEX FUNCTIONS
Ferguson, Thomas S.
.2) reduces to solving a linear system and (1.3) reduces to a vector shrinkage operation which requires O, which seeks a low-rank solution of a linear system, can be cast as min { 1 2 A(X) - b2 2 + X } ,(1
On the collapse of a wave function satisfying a damped driven non-linear Schrödinger equation
Sigurd Assing; Astrid Hilbert
2014-05-01
We show that a physically motivated trial solution of a damped driven non-linear Schr\\"odinger equation does neither encounter collapse nor so-called pseudocollapse although the exponent of the non-linearity is critical. This result sheds new light on the accuracy of numerical solutions to this problem obtained in an earlier paper where the authors claim pseudocollapse of the trial solution when the variance of the driving noise is below a certain level.
Value Function Approximation on Non-Linear Manifolds for Robot Motor Control
Sugiyama, Masashi; Hachiya, Hirotaka; Towell, Christopher; Vijayakumar, Sethu
The least squares approach works efficiently in value function approximation, given appropriate basis functions. Because of its smoothness, the Gaussian kernel is a popular and useful choice as a basis function. However, ...
R. A. Anokhin; V. N. Voyevodin; S. N. Dubnyuk; A. M. Egorov; B. V. Zaitsev; A. F. Kobets; O. P. Ledenyov; K. V. Pavliy; V. V. Ruzhitsky; G. D. Tolstolutskaya
2013-09-03
The experimental research on the irradiation of the functional design materials by the Helium ions in the linear accelerator is conducted. The experimental measurements techniques and data on the irradiation of the functional design materials by the Helium ions with the energy up to 4 MeV, including the detailed scheme of experimental measurements setup, are presented. The new design of accelerating structure of the IH-type such as POS-4, using the method of alternate-phase focusing with the step-by-step change of the synchronous phase along the focusing periods in a linear accelerator, is developed with the aim to irradiate the functional design materials by the Helium ions. The new design of the injector of the charged Helium ions with the energy of 120 KeV at the output of an accelerating tube and the accelerating structure of the type of POS-4 for the one time charged Helium ions acceleration in the linear accelerator are researched and developed. The special chamber for the irradiation of functional design materials by the Helium ions is also created. In the process of experiment, the temperature of a sample, the magnitude of current of Helium ions beam and the irradiation dose of sample are measured precisely. The experimental measurement setup and techniques are fully tested and optimized in the course of the research on the electro-physical properties of irradiated samples and the thermal-desorption of Helium ions in a wide range of temperatures
Rabindra Nath Das
2007-01-16
In this paper the linear non linear non homogenous integral equations of H- functions is considered to find a new form of H- function as its solution.The Wiener Hopf technique is used to express a known function into two functions with different zones of analyticity.The linear non homogenous integral equation is thereafter expressed into two different sets of function having different zones of regularity.The modified form of Lioville's theorem is used thereafter.Cauchy's integrl formulae are used to determine functional representation over the cut region in a complex plane.The new form off H function is derived both for conservative and non conservative cases.The exiatence of solution of linear nonhomogenous integral equations and its uniqueness are shown.For numerical calculation of this new H-function,a set of useful formulae are derived both for conservative and non conservative cases.
J. M. Yao; N. Itagaki; J. Meng
2014-09-19
A study of 4$\\alpha$ linear-chain structure in high-lying collective excitation states of $^{16}$O with a covariant density functional theory is presented. The low-spin states are obtained by configuration mixing of particle-number and angular-momentum projected quadrupole deformed mean-field states with generator coordinate method. The high-spin states are determined by cranking calculations. These two calculations are based on the same energy density functional PC-PK1. We have found a rotational band at low-spin with the dominated intrinsic configuration considered to be the one that 4$\\alpha$ clusters stay along a common axis. The strongly deformed rod shape also appears in the high-spin region with the angular momentum $13-18\\hbar$; however whether the state is pure $4\\alpha$ linear chain or not is less obvious than that in the low-spin states.
OPE's and the Dilaton Beta-Function for the 2-D N=1 Supersymmetric Non-Linear $?$-Model
Marcia E. Wehlau
1994-10-18
Using the superspace formalism, we compute for the two-dimensional N=1 supersymmetric non-linear $\\sigma$-model, the order $(\\alpha^{\\prime})^{2}$ $(R_{mnpq})^2$ (three-loop) correction to the central charge via the operator product expansion of the supercurrent with itself. The contribution vanishes, in agreement with previous results obtained from the usual $\\sigma$-model $\\beta$-function approach.
Francois Murat; Roberto Paroni
2015-02-13
We consider a sequence of linear hyper-elastic, inhomogeneous and fully anisotropic bodies in a reference configuration occupying a cylindrical region of height epsilon. We then study, by means of Gamma-convergence, the asymptotic behavior as epsilon goes to zero of the sequence of complementary energies. The limit functional is then identified as a dual problem for a two-dimensional plate. Our approach gives a direct characterization of the convergence of the equilibrating stress fields.
Rabindra Nath Das
2007-01-16
The linear non homogeneous singular integral equation (LNSIE)derived from the nonlinear non homogeneous integral eauation (NNIE)of Chandrsasekhar's H- functions is considered here to develop a new form of H - functions.The Plemelj's formulae are applied to that equation to determine a new linear non homogeneous integral equation(LNIE)for H- functions in complex plane . The analytic properties of this new linear integral equation are assessed and compared with known linear integral equations satisfied by H- functions. The Cauchy integral formulae in complex plane are used to obtain this form of H- functions not dependent on H- function in the integral . This new form of H-function is represented as a simple integral in terms of known functions both for conservative and non conservative cases. This is identical with the form of H- functions derived by this author by application of Wiener HOpf technique. The equivalence of application of the theory of linear singular integral equation in Riemann Hilbert Problem and of the technique of Wiener- Hopf in linear integral in representing the H- functions is therefore eatablished .This new form may be used for solving the problems of radiative transfer in anisotropic and non coherent scattering by the method of Laplace Transform and Wiener -Hopf technique.
optimization problem. In penalty function methods, an augmented performance index is introduced by adding to the original cost of the optimal control problem, so-called penalty functions that have some diverging performance index is optimized, in the absence of constraints, yielding a biased estimate of the solution
Linear response calculation using the canonical-basis TDHFB with a schematic pairing functional
Shuichiro Ebata; Takashi Nakatsukasa; Kazuhiro Yabana
2010-09-17
A canonical-basis formulation of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory is obtained with an approximation that the pair potential is assumed to be diagonal in the time-dependent canonical basis. The canonical-basis formulation significantly reduces the computational cost. We apply the method to linear-response calculations for even-even nuclei. E1 strength distributions for proton-rich Mg isotopes are systematically calculated. The calculation suggests strong Landau damping of giant dipole resonance for drip-line nuclei.
Washington at Seattle, University of - Department of Physics, Electroweak Interaction Research Group
neutrinoless double beta decay and measure solar neutrinos and geoneutrinos. The type of particle by ap- proximately 9500 PMTs. For detections of neutrinoless double beta decay, the liquid scintillator double beta decay, low energy solar neutrinos, geo- neutrinos and supernova neutrinos using scintillation
Structure/Function Studies of Proteins Using Linear Scaling Quantum Mechanical Methodologies
Merz, K. M.
2004-07-19
We developed a linear-scaling semiempirical quantum mechanical (QM) program (DivCon). Using DivCon we can now routinely carry out calculations at the fully QM level on systems containing up to about 15 thousand atoms. We also implemented a Poisson-Boltzmann (PM) method into DivCon in order to compute solvation free energies and electrostatic properties of macromolecules in solution. This new suite of programs has allowed us to bring the power of quantum mechanics to bear on important biological problems associated with protein folding, drug design and enzyme catalysis. Hence, we have garnered insights into biological systems that have been heretofore impossible to obtain using classical simulation techniques.
Jun Li; Gianluca Colo'; Jie Meng
2008-11-25
A self-consistent Quasiparticle-Random-Phase-Approximation (QRPA) model which employs the canonical Hartree-Fock-Bogoliubov (HFB) basis and an energy-density functional with a Skyrme mean field part and a density-dependent pairing, is used to study the monopole collective excitations of spherical even-even nuclei. The influence of the spurious state on the strength function of the isoscalar monopole excitations is clearly assessed. We compare the effect of different kinds of pairing forces (volume pairing, surface pairing and mixed pairing) on the monopole excitation strength function. The energy of the Isoscalar Giant Monopole Resonance (ISGMR), which is related to the nuclear incompressibility $K_{\\infty}$, is calculated for tin isotopes and the results are discussed.
Zhongyuan Zhou; Shih-I Chu
2009-02-09
We present a time-dependent localized Hartree-Fock density-functional linear response approach for the treatment of photoionization of atomic systems. This approach employs a spin-dependent localized Hartree-Fock (SLHF) exchange potential to calculate electron orbitals and kernel functions, and thus can be used to study the photoionization from atomic excited states. We have applied the approach to the calculation of photoionization cross sections of Ne ground state. The results are in agreement with available experimental data and have comparable accuracies with other ab initio theoretical results. We have also extended the approach to explore the photoionization from Ne excited states and obtained some new results for the photoionization from outer-shell and inner-shell excited states.
Towards time-dependent current-density-functional theory in the non-linear regime
Escartín, J. M.; Vincendon, M.; Romaniello, P.; Dinh, P. M.; Reinhard, P.-G.; Suraud, E.
2015-02-27
? ? Im [???(r, t)???(r, t)] ? q mc AS(r, t) ?(r, t) , (2b) and are independent of the gauge chosen to represent the electromagnetic potentials. A. The Vignale-Kohn functional in real time Up to second order in spatial derivatives, under the basic... that, while treat- ing the memory instantaneously in time, maintains the dissipating effects of the VK approximation. We have demonstrated the capabilities of the method by apply- ing it to Mg, Ca and Na2 whereby we are modeling a short laser pulse...
Kazuhito Mizuyama; Masayuki Matsuo; Yasuyoshi Serizawa
2009-01-12
We develop a new formulation of the continuum quasiparticle random phase approximation (QRPA) in which the residual interaction is derived directly from the Skyrme energy functional, keeping all the velocity dependent terms of the Skyrme effective interaction. Numerical analysis using the SkM$^*$ parameter set is performed for the isovector dipole and the isovector/isoscalar quadrupole responses in $^{20}$O and $^{54}$Ca. It is shown that the energy-weighted sum rule including the enhancement factors for the isovector responses is satisfied with good accuracy. We investigate also how the velocity dependent terms influence the strength distribution and the transition densities of the low-lying surface modes and the giant resonances.
Schumaker, Larry
the Jacobi method for solving a linear system Ax = b. a) The input should be n, A, and b. The output shouldMath 226 Machine Problem 3: Due Wed., Jan. 28, 2015 1) Write a function "jacobi" to carry out) for each step. 2) Write a similar function "gausseidel" to carry out the Gauss-Seidel method. 3) Write
Murty, Ram
ARTICLE IN PRESS YJNTH:3835 Please cite this article in press as: S. Gun et al., Linear.elsevier.com/locate/jnt Linear independence of digamma function and a variant of a conjecture of Rohrlich Sanoli Gun 1,2 , M. Ram,-1,-2,...). * Corresponding author. E-mail addresses: sanoli@imsc.res.in (S. Gun), murty@mast.queensu.ca (M. Ram Murty), rath
Rabindra Nath Das
2007-02-22
In Radiative transfer, the intensities of radiation from the bounding faces of finite slab are obtained in terms of X- and Y- functions of Chandrasekhar . Those are non linear non homogeneous coupled integral equations . Those non linear integral equations are meromorphically extended to the complex plane to get linear non homogeneous coupled integral equations. Those linear integral equations are converted to linear singular integral equations with. linear constraints . Those singular integral equations are then transformed to non homogeneous Riemann Hilbert Problems. Solutions of those Riemann Hilbert Problems are obtained using the theory of linear singular integral equations to decouple those X- and Y- functions. New forms of linear non homogeneous decoupled integral equations are derived for X- and Y- function separately with new linear constraints. Those new decoupled integral equations are transformed into linear singular integral equations to get two new separate non homogeneous Riemann Hilbert problems and to find solutions in terms of one known N- function and five new unknown functions in complex plane . All five functions are represented in terms of N-functions using the theory of contour integration >. Those X- and Y- functions are finally expressed in terms of that N - function and also in terms of H- functions of Chandrasekhar and of integrals in Cauchy principal value sense in the complex plane and real plane. both for conservative and non conservative cases . The H - functions for semi infinite atmosphere are derived as a limiting case from the expression of X- function of finite atmosphere.
AUTHOR|(SzGeCERN)435733
2015-01-01
A future e+e collider, such as the ILC or CLIC, would allow the Higgs sector to be probed with a precision significantly beyond that achievable at the High-Luminosity LHC. A central part of the Higgs programme at an e+e collider is the model-independent determination of the absolute Higgs couplings to fermions and to gauge bosons. Here the measurement of the e+e --> HZ Higgsstrahlung cross sec- tion, using the recoil mass technique, sets the absolute scale for all Higgs coupling measurements. Previous studies have considered s (e+e --> HZ) with Z --> l+l-, where l = e, ?. In this paper it is shown for the first time that a near model- independent recoil mass technique can be extended to the hadronic decays of the Z boson. Because the branching ratio for Z --> qq is approximately ten times greater than for Z --> l+l-, this method is statistically more powerful than using the leptonic decays. For an integrated luminosity of 500 fb-1 at a centre-of-mass energy of ps = 350 GeV at CLIC, s (e+e --> HZ) can be meas...
Thomson, Mark
2015-01-01
A future e+e- collider, such as the ILC or CLIC, would allow the Higgs sector to be probed with a precision significantly beyond that achievable at the High-Luminosity LHC. A central part of the Higgs programme at an e+e- collider is the model-independent determination of the absolute Higgs couplings to fermions and to gauge bosons. Here the measurement of the e+e-->HZ Higgsstrahlung cross section, using the recoil mass technique, sets the absolute scale for all Higgs coupling measurements. Previous studies have considered e+e- ->ZH with Z->l+l-, where l = electron or muon. In this paper it is shown for the first time that a near model-independent recoil mass technique can be extended to the hadronic decays of the Z boson. Because the branching ratio for Z->qq is approximately ten times greater than for Z->l+l-, this method is statistically more powerful than using the leptonic decays. For an integrated luminosity of 500 fb-1 at a centre-of-mass energy of 350 GeV at CLIC, the e+e-->HZ cross section can be mea...
Biswajit Pandey; Somnath Bharadwaj
2005-01-19
The anisotropies in the galaxy two-point correlation function measured from redshift surveys exhibits deviations from the predictions of the linear theory of redshift space distortion on scales as large 20 Mpc/h where we expect linear theory to hold in real space. Any attempt at analyzing the anisotropies in the redshift correlation function and determining the linear distortion parameter \\beta requires these deviations to be correctly modeled and taken into account. These deviations are usually attributed to galaxy random motions and these are incorporated in the analysis through a phenomenological model where the linear redshift correlation is convolved with the random pairwise velocity distribution function along the line of sight. We show that a substantial part of the deviations arise from non-linear effects in the mapping from real to redshift space caused by the coherent flows. Models which incorporate this effect provide a better fit to N-body results as compared to the phenomenological model which has only the effect of random motions. We find that the pairwise velocity dispersion predicted by all the models that we have considered are in excess of the values determined directly from the N-body simulations. This indicates a shortcoming in our understanding of the statistical properties of peculiar velocities and their relation to redshift distortion.
Hassanzadeh, Pedram
2015-01-01
A linear response function (LRF) determines the mean-response of a nonlinear climate system to weak imposed forcings, and an eddy flux matrix (EFM) determines the eddy momentum and heat flux responses to mean-flow changes. Neither LRF nor EFM can be calculated from first principles due the lack of a complete theory for turbulent eddies. Here the LRF and EFM for an idealized dry atmosphere are computed by applying numerous localized weak forcings, one at a time, to a GCM with Held-Suarez physics and calculating the mean-responses. The LRF and EFM for zonally-averaged responses are then constructed using these forcings and responses through matrix inversion. Tests demonstrate that LRF and EFM are fairly accurate. Spectral analysis of the LRF shows that the most excitable dynamical mode, the neutral vector, strongly resembles the model's Annular Mode. The framework described here can be employed to compute the LRF/EFM for zonally-asymmetric responses and more complex GCMs. The potential applications of the LRF/E...
Pedram Hassanzadeh; Zhiming Kuang
2015-11-06
A linear response function (LRF) determines the mean-response of a nonlinear climate system to weak imposed forcings, and an eddy flux matrix (EFM) determines the eddy momentum and heat flux responses to mean-flow changes. Neither LRF nor EFM can be calculated from first principles due the lack of a complete theory for turbulent eddies. Here the LRF and EFM for an idealized dry atmosphere are computed by applying numerous localized weak forcings, one at a time, to a GCM with Held-Suarez physics and calculating the mean-responses. The LRF and EFM for zonally-averaged responses are then constructed using these forcings and responses through matrix inversion. Tests demonstrate that LRF and EFM are fairly accurate. Spectral analysis of the LRF shows that the most excitable dynamical mode, the neutral vector, strongly resembles the model's Annular Mode. The framework described here can be employed to compute the LRF/EFM for zonally-asymmetric responses and more complex GCMs. The potential applications of the LRF/EFM constructed here are i) forcing a specified mean-flow for hypothesis-testing, ii) isolating/quantifying the eddy-feedbacks in complex eddy-mean flow interaction problems, and iii) evaluating/improving more generallyapplicable methods currently used to construct LRFs or diagnose eddy-feedbacks in comprehensive GCMs or observations. As an example for iii, the LRF is also computed using the fluctuation-dissipation theorem (FDT), and the previously-calculated LRF is exploited to investigate why FDT performs poorly in some cases. It is shown that dimension-reduction using leading EOFs, which is commonly used to construct LRFs from the FDT, can significantly degrade the accuracy due to the non-normality of the operator.
Martin, V.; Egido, J.L.; Khoo, T.L.; Lauritsen, T.
1993-11-11
The electromagnetic decay of the nuclei {sup 152-154-156}Dy is analyzed using microscopic Hartree-Fock calculations at finite temperature. The theoretical collective transition probabilities are implemented in numerical simulations to produce theoretical espectra. Thermal shape fluctuations are also taken into account. The inclusion of these correlation is crucial in order to understand the main features of the collective E2 spectra of these isotopes at different energies. The theoretical calculations suggest a shape change as responsible for the unusual features of the spectrum of the nucleus {sup 154}Dy at high energy.
Stafford, Trey
2013-11-20
Development of a random sampling tool for linear vector features using open-source GIS for Python Trey Stafford Senior in Geography, KU 11/20/2013 What does it really mean? • Moving a set of lines around randomly! • Taking advantage of existing...Development of a random sampling tool for linear vector features using open-source GIS for Python Trey Stafford Senior in Geography, KU 11/20/2013 What does it really mean? • Moving a set of lines around randomly! • Taking advantage of existing...
Foveal scale-space and the linear increase of receptive eld size as a function of eccentricity
Lindeberg, Tony
assumptions about uniform treatment of structures over scales and #12;nite processing capacity imply a linear. Since we are obviously constrained by some #12;nite processing capacity, one could decide to cover) and the visual cortex seems rather homogeneous (Hubel and Wiesel 1974). #15; At any retinal location many
Kimichika Fukushima; Hikaru Sato
2015-07-27
Considering the propagation of fields in the spacetime continuum and the well-defined features of fields with finite degrees of freedom, the wave function is expanded in terms of a finite set of basis functions localized in spacetime. This paper presents the analytic eigenenergies derived for a confined fundamental fermion-antifermion pair under a linear potential obtained from the Wilson loop for the non-Abelian Yang-Mills field. The Hamiltonian matrix of the Dirac equation is analytically diagonalized using basis functions localized in spacetime. The squared lowest eigenenergy (as a function of the relativistic quantum number when the rotational energy is large compared to the composite particle masses) is proportional to the string tension and the absolute value of the Dirac's relativistic quantum number related to the total angular momentum, consistent with the expectation.
J. M. Yao; L. S. Song; K. Hagino; P. Ring; J. Meng
2015-01-29
We report a systematic study of nuclear matrix elements (NMEs) in neutrinoless double-beta decays with a state-of-the-art beyond mean-field covariant density functional theory. The dynamic effects of particle-number and angular-momentum conservations as well as quadrupole shape fluctuations are taken into account with projections and generator coordinate method for both initial and final nuclei. The full relativistic transition operator is adopted to calculate the NMEs. The present systematic studies show that in most of the cases there is a much better agreement with the previous non-relativistic calculation based on the Gogny force than in the case of the nucleus $^{150}$Nd found in Song et al. [Phys. Rev. C 90, 054309 (2014)]. In particular, we find that the total NMEs can be well approximated by the pure axial-vector coupling term with a considerable reduction of the computational effort.
Three-loop Three-Linear Vertices and Four-Loop MOM beta functions in massless QCD
K. G. Chetyrkin; A. Retey
2000-07-10
In this paper we present a full set of 2- and 3-point functions for massless QCD at three-loop order in the MSbar scheme. The vertex functions are evaluated at the asymmetric point with one vanishing momentum. These results are used to relate the MSbar coupling constant to that of various momentum subtraction renormalization schemes at three-loop order. With the help of the known four-loop MS-bar beta-function we then determine the four-loop coefficients of the corresponding MOM beta-functions. As an application we consider the momentum dependence (running) of the three-gluon asymmetrical vertex recently computed within the lattice approach by Ph. Boucaud et al. (JHEP 04 006 (2000)). An account of the four-loop term in the corresponding beta-function leads to a significant (around 30%) decrease of the value of the non-perturbative power-suppressed correction to the running.
Kimichika Fukushima; Hikaru Sato
2015-06-08
Considering the propagation of fields in the spacetime continuum and the well-defined features of fields with finite degrees of freedom, the wave function is expanded in terms of a finite set of basis functions localized in spacetime. This paper presents the analytic eigenenergies derived for a confined fundamental fermion-antifermion pair under a linear potential obtained from the Wilson loop for the non-Abelian Yang-Mills field. The Hamiltonian matrix of the Dirac equation is analytically diagonalized using basis functions localized in spacetime. The squared system eigenenergies are proportional to the string tension and the absolute value of the Dirac's relativistic quantum number related to the total angular momentum, consistent with the expectation.
Dynamical Study of a Second Order DPCM Transmission System Modeled by a Piece-Wise Linear Function
Ina Taralova; D. Fournier-Prunaret
2009-03-30
This paper analyses the behaviour of a second order DPCM (Differential Pulse Code Modulation) transmission system when the nonlinear characteristic of the quantizer is taken into consideration. In this way, qualitatively new properties of the DPCM system have been unravelled, which cannot be observed and explained if the nonlinearity of the quantizer is neglected. For the purposes of this study, a piece-wise linear nondifferentiable quantizer characteristic is considered. The resulting model of the DPCM is of the form of iteration equations (i.e. map), where the inverse iterate is not unique (i.e. noninvertible map). Therefore the mathematical theory of noninvertible maps is particularly suitable for this analysis, together with the more classic tools of Non Linear Dynamics. This study allowed us in addition to show from a theoretical point of view some new properties of nondifferentiable maps, in comparison with differentiable ones. After a short review of noninvertible maps, the presented methods and tools for noninvertible maps are applied to the DPCM system. An original algorithm for calculation of bifurcation curves for the DPCM map is proposed. Via the studies in the parameter and phase plane, different nonlinear phenomena such as the overlapping of bifurcation curves causing multistability, chaotic behaviour, or multiple basins with fractal boundary are pointed out. All observed phenomena show a very complex dynamical behaviour even in the constant input signal case, discussed here.
Moiseyev, Nimrod
Fingerprints of the nodal structure of autoionizing vibrational wave functions in clusters of Nonlinear Physics in Complex Systems, Technion--Israel Institute of Technology, Haifa 32000, Israel Robin the autoionizing electron or the Ne kinetic energy distributions. This phenomenon is associated with the properties
Dunlap, B.I.; Brenner, D.W.; Mowrey, R.C.; Mintmire, J.W.; White, C.T. )
1990-05-15
Linear combination of Gaussian-type orbitals (LCGTO) --local-density-functional (LDF) cluster calculations give the interaction energy of two deuterium atoms in the interstices of titanium and palladium. Octahedral and tetrahedral interstices of the face-centered-cubic (fcc) lattice are modeled by six and four metal atoms, respectively. No short equilibrium separations, compared to the gas-phase equilibrium separation, are found even when expansion of the lattice and loading with additional deuterium and metal atoms are considered. The deuteron affinities of these clusters are in accord with the experimental site preference.
Jr, Peter Chien; Rosenman, Karla; Cheung, Wang; Wang, Nadia; Sanchez, Miguel
2009-01-01
type 1/type 2 mosaic of psoriasis? Dermatology 2006; 212:Magalhaes RF, et al. Linear psoriasis in Brazilian childrensuffering from linear psoriasis along lines of Blaschko. Br
Excited Upsilon Radiative Decays
Randy Lewis; R. M. Woloshyn
2011-11-13
Bottomonium S-wave states were studied using lattice NRQCD. Masses of ground and excited states were calculated using multiexponential fitting to a set of correlation functions constructed using both local and wavefunction-smeared operators. Three-point functions for M1 transitions between vector and pseudoscalar states were computed. Robust signals for transitions involving the first two excited states were obtained. The qualitative features of the transition matrix elements are in agreement with expectations. The calculated values of matrix elements for Y(2S) and Y(3S) decay are considerably larger than values inferred from measured decay widths.
Andrey Beresnyak; Alex Lazarian
2008-05-06
We present a model for nonlinear decay of the weak wave in three-dimensional incompressible magnetohydrodynamic (MHD) turbulence. We show that the decay rate is different for parallel and perpendicular waves. We provide a general formula for arbitrarily directed waves and discuss particular limiting cases known in the literature. We test our predictions with direct numerical simulations of wave decay in three-dimensional MHD turbulence, and discuss the influence of turbulent damping on the development of linear instabilities in the interstellar medium and on other important astrophysical processes.
Penny, Will
Empirical Bayes Will Penny Linear Models fMRI analysis Gradient Ascent Online learning Delta Rule Maximum Likelihood Augmented Form ReML Objective Function References Empirical Bayes Will Penny 3rd March 2011 #12;Empirical Bayes Will Penny Linear Models fMRI analysis Gradient Ascent Online learning Delta
Bo Jakobsen; Tina Hecksher; Kristine Niss; Tage Christensen; Niels Boye Olsen; Jeppe C. Dyre
2012-02-10
The frequency-dependent dielectric constant, shear and adiabatic bulk moduli, longitudinal thermal expansion coefficient, and longitudinal specific heat have been measured for two van der Waals glass-forming liquids, tetramethyl-tetraphenyl-trisiloxane (DC704) and 5-polyphenyl-4-ether. Within the experimental uncertainties the loss-peak frequencies of the measured response functions have identical temperature dependence over a range of temperatures, for which the Maxwell relaxation time varies more than nine orders of magnitude. The time scales are ordered from fastest to slowest as follows: Shear modulus, adiabatic bulk modulus, dielectric constant, longitudinal thermal expansion coefficient, longitudinal specific heat. The ordering is discussed in light of the recent conjecture that van der Waals liquids are strongly correlating, i.e., approximate single-parameter liquids.
Linearly parameterized bandits
Tsitsiklis, John N.
We consider bandit problems involving a large (possibly infinite) collection of arms, in which the expected reward of each arm is a linear function of an r-dimensional random vector Z ? ?(superscript r), where r ? 2. The ...
J. Kwiecinski; B. Ziaja
2000-11-21
Spin dependent structure function $g_1^{\\gamma}(x,Q^2)$ of the polarised photon is analysed within the formalism based upon the unintegrated spin dependent parton distributions incorporating the LO Altarelli-Parisi evolution and the double $ln^2(1/x)$ resummation at low values of Bjorken parameter x. We analyse the effects of the double $ln^2(1/x)$ resummation on the behaviour of $g_1^{\\gamma}(x,Q^2)$ in the low x region which may be accessible in future linear $e^+e^-$ and $e\\gamma$ colliders. Sensitivity of the predictions on the possible nonperturbative gluon content of the polarised photons is analysed. Predictions for spin dependent gluon distribution $\\Delta g^{\\gamma} (x,Q^2)$ are also given.
Existence of Optical Vortices in Saturable Non-linearity
Luciano Medina
2015-05-22
Optical propagation in non-linear media and the formation of optical vortices as dark holes is an area of extensive research in modern optical physics. Governed by a non-linear Schr\\"odinger equation, with self-focusing saturable non-linearity, we establish an existence theory for a unique class of spatially localized beams describing ring-profile vortex solitons. Our first type of results are established via a constrained minimization problem. We prove the existence of positive radially symmetric solutions and give necessary conditions restricting the wave propagation constant in terms of the topological charge and saturation constant. As demanded by beam confinement, we prove the exponential decay of the soliton amplitude at infinity. Secondly, we use a min-max technique to prove the existence of additional non-trivial solutions that arise as saddle-points of a corresponding indefinite action functional.
Linear Dependence and Linear Independence
PRETEX (Halifax NS) #1 1054 1999 Mar 05 10:59:16
2010-02-12
Feb 16, 2007 ... Observe that the vector (1, 2) is already a linear combination of (1, 0) and (0, 1), and therefore it does not add any new vectors to the linear span ...
Snoek, Hella Leonie; /Vrije U., Amsterdam
2011-11-28
This thesis describes the measurement of the branching fractions of the suppressed charmed B{sup 0} {yields} D{sup (*)-} a{sub 0}{sup +} decays and the non-resonant B{sup 0} {yields} D{sup (*)-} {eta}{pi}{sup +} decays in approximately 230 million {Upsilon}(4S) {yields} B{bar B} events. The data have been collected with the BABAR detector at the PEP-II B factory at the Stanford Linear Accelerator Center in California. Theoretical predictions of the branching fraction of the B{sup 0} {yields} D{sup (*)-} a{sub 0}{sup +} decays show large QCD model dependent uncertainties. Non-factorizing terms, in the naive factorization model, that can be calculated by QCD factorizing models have a large impact on the branching fraction of these decay modes. The predictions of the branching fractions are of the order of 10{sup -6}. The measurement of the branching fraction gives more insight into the theoretical models. In general a better understanding of QCD models will be necessary to conduct weak interaction physics at the next level. The presence of CP violation in electroweak interactions allows the differentiation between matter and antimatter in the laws of physics. In the Standard Model, CP violation is incorporated in the CKM matrix that describes the weak interaction between quarks. Relations amongst the CKM matrix elements are used to present the two relevant parameters as the apex of a triangle (Unitarity Triangle) in a complex plane. The over-constraining of the CKM triangle by experimental measurements is an important test of the Standard Model. At this moment no stringent direct measurements of the CKM angle {gamma}, one of the interior angles of the Unitarity Triangle, are available. The measurement of the angle {gamma} can be performed using the decays of neutral B mesons. The B{sup 0} {yields} D{sup (*)-} a{sub 0}{sup +} decay is sensitive to the angle {gamma} and, in comparison to the current decays that are being employed, could significantly enhance the measurement of this angle. However, the low expected branching fraction for the B{sup 0} {yields} D{sup (*)-} a{sub 0}{sup +} decay channels could severely impact the measurement. A prerequisite of the measurement of the CKM angle is the observation of the B{sup 0} {yields} D{sup (*)-} a{sub 0}{sup +} decay on which this thesis reports. The BABAR experiment consists of the BABAR detector and the PEP-II e{sup +}e{sup -} collider. The design of the experiment has been optimized for the study of CP violation in the decays of neutral B mesons but is also highly suitable for the search for rare B decays such as the B{sup 0} {yields} D{sup (*)-} a{sub 0}{sup +} decay. The PEP-II collider operates at the {Upsilon}(4S) resonance and is a clean source of B{bar B} meson pairs.
Becker, Ulrich J.
Bose–Einstein correlations of pairs of identical charged pions produced in hadronic Z decays are analyzed in terms of various parametrizations. A good description is achieved using a Lévy stable distribution in conjunction ...
Linear diffusion into a Faraday cage.
Warne, Larry Kevin; Lin, Yau Tang; Merewether, Kimball O.; Chen, Kenneth C.
2011-11-01
Linear lightning diffusion into a Faraday cage is studied. An early-time integral valid for large ratios of enclosure size to enclosure thickness and small relative permeability ({mu}/{mu}{sub 0} {le} 10) is used for this study. Existing solutions for nearby lightning impulse responses of electrically thick-wall enclosures are refined and extended to calculate the nearby lightning magnetic field (H) and time-derivative magnetic field (HDOT) inside enclosures of varying thickness caused by a decaying exponential excitation. For a direct strike scenario, the early-time integral for a worst-case line source outside the enclosure caused by an impulse is simplified and numerically integrated to give the interior H and HDOT at the location closest to the source as well as a function of distance from the source. H and HDOT enclosure response functions for decaying exponentials are considered for an enclosure wall of any thickness. Simple formulas are derived to provide a description of enclosure interior H and HDOT as well. Direct strike voltage and current bounds for a single-turn optimally-coupled loop for all three waveforms are also given.
Minezawa, Noriyuki
2014-10-28
Examining photochemical processes in solution requires understanding the solvent effects on the potential energy profiles near conical intersections (CIs). For that purpose, the CI point in solution is determined as the crossing between nonequilibrium free energy surfaces. In this work, the nonequilibrium free energy is described using the combined method of linear-response free energy and collinear spin-flip time-dependent density functional theory. The proposed approach reveals the solvent effects on the CI geometries of stilbene in an acetonitrile solution and those of thymine in water. Polar acetonitrile decreases the energy difference between the twisted minimum and twisted-pyramidalized CI of stilbene. For thymine in water, the hydrogen bond formation stabilizes significantly the CI puckered at the carbonyl carbon atom. The result is consistent with the recent simulation showing that the reaction path via this geometry is open in water. Therefore, the present method is a promising way of identifying the free-energy crossing points that play an essential role in photochemistry of solvated molecules.
Lyapunov functions nonlinear spaces
Hafstein, Sigurður Freyr
Lyapunov functions on nonlinear spaces R. Sepulchre -- University of Liege, Belgium Reykjavik - July 2013 Constructing Lyapunov functions: a personal journey · Lyap functions in linear spaces (1994: homogeneous spaces with flat, positive, and negative curvature) Lyapunov functions in linear spaces 3
Infinitely many solutions to linearly coupled Schrödinger equations with non-symmetric potential
Chunhua Wang; Jing Yang
2015-04-06
We study a linearly coupled Schr\\"{o}dinger system in $\\R^N(N\\leq3).$ Assume that the potentials in the system are continuous functions satisfying suitable decay assumptions, but without any symmetry properties and the parameters in the system satisfy some suitable restrictions. Using the Liapunov-Schmidt reduction methods two times and combing localized energy method, we prove that the problem has infinitely many positive synchronized solutions, which extends the result Theorem 1.2 about nonlinearly coupled Schr\\"{o}dinger equations in \\cite{aw} to our linearly coupled problem.
Linear Consistency Testing Yonatan Aumann
Sudan, Madhu
of Blum, Luby and Rubinfeld [?] to check the linear-consistency of three functions f1, f2, f3 mapping and check if f1(x) + f2(y) = f3(x + y). We analyze this test for two cases: (1) G and H are arbitrary the consistency of multiple functions. Given a triple of functions f1, f2, f3 : G H, we say that they are "linear
Martin, V.; Egido, J.L.; Khoo, T.L.; Lauritsen, T.
1995-06-01
The electromagnetic decay of the nuclei {sup 152,154,156}Dy is analyzed using microscopic Hartree-Fock calculations at finite temperature. The theoretical collective transition probabilities are implemented in numerical simulations to produce theoretical spectra. Thermal shape fluctuations are also taken into account. The inclusion of these correlation is crucial in order to understand the main features of the collective {ital E}2 spectra of these isotopes at different energies. The theoretical calculations suggest a shape change as responsible for the unusual features of the spectrum of the nucleus {sup 154}Dy at high energy.
EXTENSIONS OF GENERALIZED LINEAR MODELING APPROACH TO STOCHASTIC WEATHER GENERATORS
Katz, Richard
weather) -- Software R open source statistical programming language: Function glm "Family;(2) Generalized Linear Models Statistical Framework -- Multiple Regression Analysis (Linear model or LM) Response
First forbidden beta decay in light nuclei
Millener, D.J.; Warburton, E.K.
1984-01-01
Beta decay matrix elements for the operators sigma dot del and sigma dot r are calculated for eight J/sup +/ ..-->.. J/sup -/ or J/sup -/ ..-->.. J/sup +/ beta transitions. Results using harmonic oscillator wave functions differ markedly from those using more realistic Woods-Saxon wave functions. A substantial contribution to the sigma dot del matrix elements from pion exchange currents is required to reproduce the experimental beta decay rates. 15 references.
Lepton flavour violating processes at the International Linear Collider
P. M. Ferreira; R. B. Guedes; R. Santos
2007-02-13
We study the effects of dimension six effective operators on the flavour violating production and decay of leptons at the International Linear Collider. Analytic expressions for the cross sections, decay widths and asymmetries of all flavour changing processes will be presented, as well as an analysis of the feasibility of their observation at the ILC.
Analytical results for the four-loop RG functions in the 2D non-linear O(n) ?-model on the lattice
O. Veretin
2013-06-12
We recalculate four-loop renormalization group functions in 2-dimensional nonlinear O(n) {\\sigma}-model using coordinate-space method. The high accuracy of calculation allow us to find the analytical form of {\\beta}- and {\\gamma}-function (anomaluos dimension).
Lebeda, O; Petzoldt, J; Stursa, J; Zdychova, V; Zuber, K
2015-01-01
Cross-sections for the proton-induced reactions on natural neodymium in energy regions 5-10 MeV and 30-35 MeV were measured using the cyclotron U-120M at the Nuclear Physics Institute at Rez near Prague. This measurement completes the investigation previously done in the 10-30 MeV energy range. Results revealed practical production thresholds and secondary maxima and minima in the excitation functions. It allowed for more appropriate calculation of thick target yields and production rates of many longer-lived radionuclides potentially disturbing the search for neutrinoless double beta decay. Measured cross-sections are consistent with our previously published data.
O. Lebeda; V. Lozza; J. Petzoldt; J. Stursa; V. Zdychova; K. Zuber
2015-04-16
Cross-sections for the proton-induced reactions on natural neodymium in energy regions 5-10 MeV and 30-35 MeV were measured using the cyclotron U-120M at the Nuclear Physics Institute at Rez near Prague. This measurement completes the investigation previously done in the 10-30 MeV energy range. Results revealed practical production thresholds and secondary maxima and minima in the excitation functions. It allowed for more appropriate calculation of thick target yields and production rates of many longer-lived radionuclides potentially disturbing the search for neutrinoless double beta decay. Measured cross-sections are consistent with our previously published data.
Modular Quantum Memories Using Passive Linear Optics and Coherent Feedback
Modular Quantum Memories Using Passive Linear Optics and Coherent Feedback Hendra I. Nurdin photon pulsed optical field has a conceptually simple modular realization using only passive linear optics and coherent feedback. We exploit the idea that two decaying optical cavities can be coupled
Suzuki, Mahiko
2005-05-13
We extend the perturbative argument of helicity amplitudes to the two-body baryonic decays of B decays.
Takashi Nakatsukasa; Kazuhiro Yabana
2004-12-05
The continuum random-phase approximation is extended to the one applicable to deformed nuclei. We propose two different approaches. One is based on the use of the three dimensional (3D) Green's function and the other is the small-amplitude TDHF with the absorbing-boundary condition. Both methods are based on the 3D Cartesian grid representation and applicable to systems without any symmetry on nuclear shape. The accuracy and identity of these two methods are examined with the BKN interaction. Using the full Skyrme energy functional in the small-amplitude TDHF approach, we study the isovector giant dipole states in the continuum for O-16 and for even-even Be isotopes.
Aydin, Goker
A On-line Appendix. Proofs Proof of Lemma 1. The supplier's objective function (3) is piecewise). This is the optimal quantity pair for this model. Proof of Proposition 3. At optimality, from the supplier's optimal) 0, pn(t1, t2) 0, for t1, t2 {H, L}, for n = 1, 2, (A.2f) where tn n (s) is supplier-n's expected
Oeiras, R. Y.; Silva, E. Z. da [Institute of Physics “Gleb Wataghin”, University of Campinas-Unicamp, 13083-859 Campinas, SP (Brazil)] [Institute of Physics “Gleb Wataghin”, University of Campinas-Unicamp, 13083-859 Campinas, SP (Brazil)
2014-04-07
Carbon linear atomic chains attached to graphene have experimentally been produced. Motivated by these results, we study the nature of the carbon bonds in these nanowires and how it affects their electrical properties. In the present study we investigate chains with different numbers of atoms and we observe that nanowires with odd number of atoms present a distinct behavior than the ones with even numbers. Using graphene nanoribbons as leads, we identify differences in the quantum transport of the chains with the consequence that even and odd numbered chains have low and high electrical conduction, respectively. We also noted a dependence of current with the wire size. We study this unexpected behavior using a combination of first principles calculations and simple models based on chemical bond theory. From our studies, the electrons of carbon nanowires present a quasi-free electron behavior and this explains qualitatively the high electrical conduction and the bond lengths with unexpected values for the case of odd nanowires. Our study also allows the understanding of the electric conduction dependence with the number of atoms and their parity in the chain. In the case of odd number chains a proposed ?-bond (MpB) model describes unsaturated carbons that introduce a mobile ?-bond that changes dramatically the structure and transport properties of these wires. Our results indicate that the nature of bonds plays the main role in the oscillation of quantum electrical conduction for chains with even and odd number of atoms and also that nanowires bonded to graphene nanoribbons behave as a quasi-free electron system, suggesting that this behavior is general and it could also remain if the chains are bonded to other materials.
The Microscopic Linear Dynamics
Penny, Will
The Microscopic Brain Will Penny Linear Dynamics Exponentials Matrix Exponential Eigendecomposition References The Microscopic Brain Will Penny 7th April 2011 #12;The Microscopic Brain Will Penny Linear;The Microscopic Brain Will Penny Linear Dynamics Exponentials Matrix Exponential Eigendecomposition
Leptonic Decays of Charged Pseudoscalar Mesons - 2015
Rosner, Jonathan L; Van de Water, Ruth S
2015-01-01
We review the physics of purely leptonic decays of $\\pi^\\pm$, $K^\\pm$, $D^{\\pm}$, $D_s^\\pm$, and $B^\\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of the constituent quarks and a strong interaction parameter related to the overlap of the quark and antiquark wave-functions in the meson, called the decay constant $f_P$. The leptonic decay constants for $\\pi^\\pm$, $K^\\pm$, $D^{\\pm}$, $D_s^\\pm$, and $B^\\pm$ mesons can be obtained with controlled theoretical uncertainties and high precision from {\\it ab initio} lattice-QCD simulations. The combination of experimental leptonic decay-rate measurements and theoretical decay-constant calculations enables the determination of several elements of the CKM matrix within the standard model. These determinations are competitive with those obtained from semileptonic decays, and also complementary because they are sensitive to different quark flavor-changing currents. They can also be use...
Neutrinoless Double Beta Decay and its "Inverse"
Clemens A. Heusch; Peter Minkowski
1996-11-18
Recent considerations by these authors pointed out the attractive features which a search for the exchange of heavy Majorana neutrinos could have for solving the mass and the lepton number puzzles for all neutrinos, in TeV-level electron-electron scattering. In the present note, we show that, contrary to subsequently published arguments, non-observation of neutrinoless double beta decay has, to date, no bearing on the promise of this important task for future linear electron colliders.
Math 351: Linear Algebra. Text: Elementary Linear Algebra (by me). Instructor: Richard Penney. Office: 822 Mathematics Building Phone: 49--41968. E-mail: ...
Ramin Zahedi
2014-12-28
In this paper based on a sort of linear function, a deterministic and simple algorithm with an algebraic structure is presented for calculating all (and only) $k$-almost primes ($where$ $\\exists n\\in {\\rm N} $, $1{\\le} k {\\le}n$) in certain interval. A theorem has been proven showing a new deterministic property of the category of $k$-almost primes. Through a linear function that we obtain, an equivalent redefinition of the $k$-almost primes with an algebraic characteristic is identified. Moreover, as an outcome of our function's property some relations which contain new information about the $k$-almost primes (including primes) are presented.
Bevan, A.J.
2006-06-07
Rare hadronic B-meson decays allow us to study CP violation. The class of B-decays final states containing two vector mesons provides a rich set of angular correlation observables to study. This article reviews some of the recent experimental results from the BABAR and Belle collaborations.
Rudakov, Leonid; Ganguli, Gurudas; Crabtree, Chris
2010-01-01
Kinetic Alfven wave turbulence in solar wind is considered and it is shown that non-Maxwellian electron distribution function has a significant effect on the dynamics of the solar wind plasmas. Linear Landau damping leads to the formation of a plateau in the parallel electron distribution function which diminishes the Landau damping rate significantly. Nonlinear scattering of waves by plasma particles is generalized to short wavelengths and it is found that for the solar wind parameters this scattering is the dominant process as compared to three wave decay and coalescence in the wave vector range . Incorporation of these effects lead to the steepening of the wave spectrum between the inertial and the dissipation ranges with a spectral index between 2 and 3. This region can be labeled as the scattering range. Such steepening has been observed in the solar wind plasmas.
Distribution of ranks of ?-decay half-lives
Juan Miguel Campanario
2010-11-21
I studied the distribution of ranks of values of 2949 {\\beta}-decay half-lives according to an empirical beta law with two exponents. {\\beta}-decay half-life ranks showed good fit to a beta function with two exponents.
Assadullahi, Hooshyar; Wands, David [Institute of Cosmology and Gravitation, University of Portsmouth, Dennis Sciama Building, Burnaby Road, Portsmouth PO1 3FX (United Kingdom); Firouzjahi, Hassan [School of Astronomy, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran (Iran, Islamic Republic of); Namjoo, Mohammad Hossein, E-mail: hooshyar.assadullahi@port.ac.uk, E-mail: firouz@mail.ipm.ir, E-mail: mh.namjoo@mail.ipm.ir, E-mail: david.wands@port.ac.uk [Yukawa Institute for theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)
2013-03-01
We study primordial density perturbations generated by the late decay of a curvaton field whose decay rate may be modulated by the local value of another isocurvature field, analogous to models of modulated reheating at the end of inflation. We calculate the primordial density perturbation and its local-type non-Gaussianity using the sudden-decay approximation for the curvaton field, recovering standard curvaton and modulated reheating results as limiting cases. We verify the Suyama-Yamaguchi inequality between bispectrum and trispectrum parameters for the primordial density field generated by multiple field fluctuations, and find conditions for the bound to be saturated.
Leptonic Decays of Charged Pseudoscalar Mesons - 2015
Jonathan L. Rosner; Sheldon Stone; Ruth S. Van de Water
2015-09-07
We review the physics of purely leptonic decays of $\\pi^\\pm$, $K^\\pm$, $D^{\\pm}$, $D_s^\\pm$, and $B^\\pm$ pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of the constituent quarks and a strong interaction parameter related to the overlap of the quark and antiquark wave-functions in the meson, called the decay constant $f_P$. The leptonic decay constants for $\\pi^\\pm$, $K^\\pm$, $D^{\\pm}$, $D_s^\\pm$, and $B^\\pm$ mesons can be obtained with controlled theoretical uncertainties and high precision from {\\it ab initio} lattice-QCD simulations. The combination of experimental leptonic decay-rate measurements and theoretical decay-constant calculations enables the determination of several elements of the CKM matrix within the standard model. These determinations are competitive with those obtained from semileptonic decays, and also complementary because they are sensitive to different quark flavor-changing currents. They can also be used to test the unitarity of the first and second rows of the CKM matrix. Conversely, taking the CKM elements predicted by unitarity, one can infer "experimental" values for $f_P$ that can be compared with theory. These provide tests of lattice-QCD methods, provided new-physics contributions to leptonic decays are negligible at the current level of precision. This review is the basis of the article in the Particle Data Group's 2016 edition, updating the versions in Refs. [1-3].
Martin Schvellinger
2008-06-03
We briefly review one of the current applications of the AdS/CFT correspondence known as AdS/QCD and discuss about the calculation of four-point quark-flavour current correlation functions and their applications to the calculation of observables related to neutral kaon decays and neutral kaon mixing processes.
Neutrinoless double beta decay
K. Zuber
2012-01-23
The physics potential of neutrinoless double beta decay is discussed. Furthermore, experimental considerations are presented as well as the current status of experiments. Finally an outlook towards the future, work on nuclear matrix elements and alternative processes is given.
Steven R. Elliott; Petr Vogel
2002-02-27
The motivation, present status, and future plans of the search for the neutrinoless double beta decay are reviewed. It is argued that, motivated by the recent observations of neutrino oscillations, there is a reasonable hope that neutrinoless double beta decay corresponding to the neutrino mass scale suggested by oscillations, of about 50 meV, actually exists. The challenges to achieve the sensitivity corresponding to this mass scale, and plans to overcome them, are described.
ON EXACT RATES OF GROWTH AND DECAY OF SOLUTIONS OF A LINEAR VOLTERRA EQUATION IN LINEAR
bending quasi--statically. A su#cient condition for the trivial solution to be asymptotic stable is given is unstable, the exact rate of growth of solutions is specified. 1. Introduction In this paper we investigate. This equation is satisfied by the modes of a viscoelastic rod bending quasi--statically, as is explained
Beta decay rates for nuclei with 115 nucleosynthesis
Kamales Kar; Soumya Chakravarti; V. R. Manfredi
2006-03-19
For r-process nucleosynthesis the beta decay rates for a number of neutron-rich intermediate heavy nuclei are calculated. The model for the beta strength function is able to reproduce the observed half~lives quite well.
Introduction to Linear Relaxations
Introduction to Linear Relaxations by R. Baker Kearfott Department of Mathematics University relaxations; . discuss validation of linear relaxations. Intro. Linear Relaxations December, 2003 Taylor, . . . , m 2 , where # : R n # R and c i , g i : R n # R are guaranteed to be within one of the x # that has
Linear Models Joint Likelihood
Penny, Will
Hierarchy Will Penny Linear Models Joint Likelihood First Layer Activity Predictive Coding Update Update Connectivity References Hierarchy Will Penny 24th March 2011 #12;Hierarchy Will Penny Linear x1 = W2x2 + e2 #12;Hierarchy Will Penny Linear Models Joint Likelihood First Layer Activity
On the neutrinoless double ?{sup +}/EC decays
Suhonen, Jouni
2013-12-30
The neutrinoless double positron-emission/electron-capture (0??{sup +}/EC) decays are studied for the magnitudes of the involved nuclear matrix elements (NMEs). Decays to the ground state, 0{sub gs}{sup +}, and excited 0{sup +} states are discussed. The participant many-body wave functions are evaluated in the framework of the quasiparticle random-phase approximation (QRPA). Effective, G-matrix-derived nuclear forces are used in realistic single-particle model spaces. The channels ?{sup +}?{sup +}, ?{sup +}EC, and the resonant neutrinoless double electron capture (R0?ECEC) are discussed.
Correlations and the neutrinoless double beta decay
Menendez, J.; Poves, A. [Departamento de Fisica Teorica, and IFT, UAM-CSIC, Universidad Autonoma de Madrid, 28049-Madrid (Spain); Caurier, E.; Nowacki, F. [IPHC, IN2P3-CNRS/Universite Louis Pasteur, 67037-Strasbourg (France)
2009-11-09
We explore the influence of the deformation on the nuclear matrix elements of the neutrinoless double beta decay (NME), concluding that the difference in deformation -or more generally on the amount of quadrupole correlations- between parent and grand daughter nuclei quenchs strongly the decay. We discuss how varies the nuclear matrix element of {sup 76}Ge decay when the wave functions of the two nuclei involved in the transition are constrained to reproduce the experimental occupancies. In the Interacting Shell Model description the value of the NME is enhanced about 15% compared to previous calculations, whereas in the QRPA the NME's are reduced by 20%-30%, thus, the discrepancies between both approaches diminish.
Lees, J.?P.
Based on a sample of 500 million e[superscript +]e[superscript -] ? c[bar over c] events recorded by the BABAR detector at c.m. energies of close to 10.6 GeV, we report on a study of the decay D[superscript 0] ? ?[superscript ...
Linear and non-linear forced response of a conical, ducted, laminar premixed flame
Karimi, Nader; Brear, Michael J.; Jin, Seong-Ho; Monty, Jason P. [Department of Mechanical Engineering, University of Melbourne, Parkville, 3010 Vic. (Australia)
2009-11-15
This paper presents an experimental study on the dynamics of a ducted, conical, laminar premixed flame subjected to acoustic excitation of varying amplitudes. The flame transfer function is measured over a range of forcing frequencies and equivalence ratios. In keeping with previous works, the measured flame transfer function is in good agreement with that predicted by linear kinematic theory at low amplitudes of acoustic velocity excitation. However, a systematic departure from linear behaviour is observed as the amplitude of the velocity forcing upstream of the flame increases. This non-linearity is mostly in the phase of the transfer function and manifests itself as a roughly constant phase at high forcing amplitude. Nonetheless, as predicted by non-linear kinematic arguments, the response always remains close to linear at low forcing frequencies, regardless of the forcing amplitude. The origin of this phase behaviour is then sought through optical data post-processing. (author)
The cone condition and nonsmoothness in linear generalized Nash ...
2015-04-13
Apr 13, 2015 ... ?Institute of Operations Research, Karlsruhe Institute of Technology (KIT), ... In the present paper we shall assume linearity of the cost functions ...
Optimizing minimum free-energy crossing points in solution: Linear...
Office of Scientific and Technical Information (OSTI)
Optimizing minimum free-energy crossing points in solution: Linear-response free energyspin-flip density functional theory approach Citation Details In-Document Search Title:...
Demmel, James; Holtz, Olga; Dumitriu, Ioana
2007-01-01
than other basic linear algebra subroutines. AcknowledgmentsApplied Numerical Linear Algebra. SIAM, 1997. [23] J.algorithms in numerical linear algebra. SIAM Review, 20:740–
1D Regression ... estimates of the linear regression coefficients are relevant to the linear
Olive, David
Chapter 12 1D Regression ... estimates of the linear regression coefficients are relevant and look for a functional form for g(·). Brillinger (1983, p. 98) Regression is the study. The scalar Y is a random variable and x is a random vector. A special case of regression is multiple linear
1D Regression ... estimates of the linear regression coefficients are relevant to the linear
Olive, David
Chapter 15 1D Regression ... estimates of the linear regression coefficients are relevant and look for a functional form for g(·). Brillinger (1983, p. 98) Regression is the study. The scalar Y is a random variable and x is a random vector. A special case of regression is multiple linear
W. B. Vasantha Kandasamy; Florentin Smarandache
2009-02-01
This book is a continuation of the book n-linear algebra of type I and its applications. Most of the properties that could not be derived or defined for n-linear algebra of type I is made possible in this new structure: n-linear algebra of type II which is introduced in this book. In case of n-linear algebra of type II we are in a position to define linear functionals which is one of the marked difference between the n-vector spaces of type I and II. However all the applications mentioned in n-linear algebras of type I can be appropriately extended to n-linear algebras of type II. Another use of n-linear algebra (n-vector spaces) of type II is that when this structure is used in coding theory we can have different types of codes built over different finite fields whereas this is not possible in the case of n-vector spaces of type I. Finally in the case of n-vector spaces of type II, we can obtain n-eigen values from distinct fields; hence, the n-characteristic polynomials formed in them are in distinct different fields. An attractive feature of this book is that the authors have suggested 120 problems for the reader to pursue in order to understand this new notion. This book has three chapters. In the first chapter the notion of n-vector spaces of type II are introduced. This chapter gives over 50 theorems. Chapter two introduces the notion of n-inner product vector spaces of type II, n-bilinear forms and n-linear functionals. The final chapter suggests over a hundred problems. It is important that the reader is well-versed not only with linear algebra but also n-linear algebra of type I.
NON-LINEAR COMPLEXITY OF THE NAORREINGOLD
Banks, William D.
Griffin2 , Daniel Lieman3 , Igor E. Shparlinski4 1 Department of Mathematics, University of Missouri is an extension of the lower bound on the linear complexity of this function that has been obtained by F. Griffin-dimensional vector a = (a1, . . . , an) (IF l )n one can define the function fa(X) = ga x1 1 ...axn n IFp, where X
WHY SEARCH FOR DOUBLE BETA DECAY?
Kayser, B.
2010-01-01
the search for neutrinoless double beta decay may prove verySearching for neutrinoless double beta decay is the onlysensitivity of neutrinoless double beta decay. The potential
Linear phase compressive filter
McEwan, T.E.
1995-06-06
A phase linear filter for soliton suppression is in the form of a laddered series of stages of non-commensurate low pass filters with each low pass filter having a series coupled inductance (L) and a reverse biased, voltage dependent varactor diode, to ground which acts as a variable capacitance (C). L and C values are set to levels which correspond to a linear or conventional phase linear filter. Inductance is mapped directly from that of an equivalent nonlinear transmission line and capacitance is mapped from the linear case using a large signal equivalent of a nonlinear transmission line. 2 figs.
Fault tolerant linear actuator
Tesar, Delbert
2004-09-14
In varying embodiments, the fault tolerant linear actuator of the present invention is a new and improved linear actuator with fault tolerance and positional control that may incorporate velocity summing, force summing, or a combination of the two. In one embodiment, the invention offers a velocity summing arrangement with a differential gear between two prime movers driving a cage, which then drives a linear spindle screw transmission. Other embodiments feature two prime movers driving separate linear spindle screw transmissions, one internal and one external, in a totally concentric and compact integrated module.
T. T. Moh
2015-01-20
Linear algebra is second only to calcu lus/differential equations in terms of mathematics of importance to engineering applications. The goal of this course is to ...
Using Linearity Web Copyright 2007
Rodriguez, Carlos
Using Linearity Web Rev. 2.0 May 2007 Copyright © 2007 #12;Using Linearity Web i Contents Introduction to Linearity Web.............................................................................1 Features, Benefits, and Value of Linearity Web..............................................1 Before You
Parolo, Pietro Della Briotta; Ghosh, Rumi; Huberman, Bernardo A; Kaski, Kimmo; Fortunato, Santo
2015-01-01
The exponential growth in the number of scientific papers makes it increasingly difficult for researchers to keep track of all the publications relevant to their work. Consequently, the attention that can be devoted to individual papers, measured by their citation counts, is bound to decay rapidly. In this work we make a thorough study of the life-cycle of papers in different disciplines. Typically, the citation rate of a paper increases up to a few years after its publication, reaches a peak and then decreases rapidly. This decay can be described by an exponential or a power law behavior, as in ultradiffusive processes, with exponential fitting better than power law for the majority of cases. The decay is also becoming faster over the years, signaling that nowadays papers are forgotten more quickly. However, when time is counted in terms of the number of published papers, the rate of decay of citations is fairly independent of the period considered. This indicates that the attention of scholars depends on th...
Neutrinoless Double Beta Decay
Heinrich Päs; Werner Rodejohann
2015-07-01
We review the potential to probe new physics with neutrinoless double beta decay $(A,Z) \\to (A,Z+2) + 2 e^-$. Both the standard long-range light neutrino mechanism as well as short-range mechanisms mediated by heavy particles are discussed. We also stress aspects of the connection to lepton number violation at colliders and the implications for baryogenesis.
Neutrinoless double beta decay
Petr Vogel
2006-11-17
The status of the search for neutrinoless double beta decay is reviewed. The effort to reach the sensitivity needed to cover the effective Majorana neutrino mass corresponding to the degenerate and inverted mass hierarchy is described. Various issues concerning the theory (and phenomenology) of the relation between the $0\
Neutrinoless Double Beta Decay
Päs, Heinrich
2015-01-01
We review the potential to probe new physics with neutrinoless double beta decay $(A,Z) \\to (A,Z+2) + 2 e^-$. Both the standard long-range light neutrino mechanism as well as short-range mechanisms mediated by heavy particles are discussed. We also stress aspects of the connection to lepton number violation at colliders and the implications for baryogenesis.
Enrique Álvarez; Roberto Vidal
2011-11-09
The problem of the vacuum energy decay is studied through the analysis of the vacuum survival amplitude ${\\mathcal A}(z, z')$. Transition amplitudes are computed for finite time-span, $Z\\equiv z^\\prime-z$, and their {\\em late time} behavior is discussed up to first order in the coupling constant, $\\l$.
W. B. Vasantha Kandasamy; Florentin Smarandache
2008-07-18
In this book, the authors introduce the notion of Super linear algebra and super vector spaces using the definition of super matrices defined by Horst (1963). This book expects the readers to be well-versed in linear algebra. Many theorems on super linear algebra and its properties are proved. Some theorems are left as exercises for the reader. These new class of super linear algebras which can be thought of as a set of linear algebras, following a stipulated condition, will find applications in several fields using computers. The authors feel that such a paradigm shift is essential in this computerized world. Some other structures ought to replace linear algebras which are over a century old. Super linear algebras that use super matrices can store data not only in a block but in multiple blocks so it is certainly more powerful than the usual matrices. This book has 3 chapters. Chapter one introduces the notion of super vector spaces and enumerates a number of properties. Chapter two defines the notion of super linear algebra, super inner product spaces and super bilinear forms. Several interesting properties are derived. The main application of these new structures in Markov chains and Leontief economic models are also given in this chapter. The final chapter suggests 161 problems mainly to make the reader understand this new concept and apply them.
Computational Study of Non-linear Great Deluge for University Course Timetabling
Landa-Silva, Dario
arise when someone seeks higher ground to avoid the rising water level during constant rain the current water level. In the original great deluge method, the water level decreases steadily in a linear algorithm in which the decay rate of the water level is non-linear. For this study, we apply the non
A Search for Neutrinoless Tau Decays to Three Leptons
Kolb, Jeffrey A.; /Oregon U. /SLAC; ,
2008-09-24
Using approximately 350 million {tau}{sup +}{tau}{sup -} pair events recorded with the BaBar detector at the Stanford Linear Accelerator Center between 1999 and 2006, a search has been made for neutrinoless, lepton-flavor violating tau decays to three lighter leptons. All six decay modes consistent with conservation of electric charge and energy have been considered. With signal selection efficiencies of 5-12%, we obtain 90% confidence level upper limits on the branching fraction {Beta}({tau} {yields} {ell}{ell}{ell}) in the range (4-8) x 10{sup -8}.
Tianjun Li; Dimitri V. Nanopoulos; Joel W. Walker
2010-09-10
We consider proton decay in the testable flipped SU(5) X U(1)_X models with TeV-scale vector-like particles which can be realized in free fermionic string constructions and F-theory model building. We significantly improve upon the determination of light threshold effects from prior studies, and perform a fresh calculation of the second loop for the process p \\to e^+ \\pi^0 from the heavy gauge boson exchange. The cumulative result is comparatively fast proton decay, with a majority of the most plausible parameter space within reach of the future Hyper-Kamiokande and DUSEL experiments. Because the TeV-scale vector-like particles can be produced at the LHC, we predict a strong correlation between the most exciting particle physics experiments of the coming decade.
Roberto Iengo; Jorge G. Russo
2006-02-20
We explain simple semi-classical rules to estimate the lifetime of any given highly-excited quantum state of the string spectrum in flat spacetime. We discuss both the decays by splitting into two massive states and by massless emission. As an application, we study a solution describing a rotating and pulsating ellipse which becomes folded at an instant of time -- the ``squashing ellipse''. This string interpolates between the folded string with maximum angular momentum and the pulsating circular string. We explicitly compute the quantum decay rate for the corresponding quantum state, and verify the basic rules that we propose. Finally, we give a more general (4-parameter) family of closed string solutions representing rotating and pulsating elliptical strings.
Nanal, Vandana [Dept. of Nuclear and Atomic Physics, Tata Institute of Fundamental Research, Mumbai 400 005 (India)
2011-11-23
At present, neutrinoless double beta decay is perhaps the only experiment that can tell us whether the neutrino is a Dirac or a Majorana particle. Given the significance of the 0{nu}{beta}{beta}, there is a widespread interest for these rare event studies employing a variety of novel techniques. This paper describes the current status of DBD experiments. The Indian effort for an underground NDBD experiment at the upcoming INO laboratory is also presented.
A. Parreño; C. Bennhold; A. Ramos
1999-02-17
We present a nonrelativistic transition potential for the weak strangeness-changing reaction $\\Lambda N \\to NN$. The potential is based on a one meson exchange model (OME), where, in addition to the long-ranged pion, the exchange of the pseudoscalar $K, \\eta$, as well as the vector $\\rho, \\omega, K^*$ mesons is considered. Results obtained for different hypernuclear decay observables are compared to the available experimental data.
Kocher, D.C.
1981-01-01
The estimation of radiation dose to man from either external or internal exposure to radionuclides requires a knowledge of the energies and intensities of the atomic and nuclear radiations emitted during the radioactive decay process. The availability of evaluated decay data for the large number of radionuclides of interest is thus of fundamental importance for radiation dosimetry. This handbook contains a compilation of decay data for approximately 500 radionuclides. These data constitute an evaluated data file constructed for use in the radiological assessment activities of the Technology Assessments Section of the Health and Safety Research Division at Oak Ridge National Laboratory. The radionuclides selected for this handbook include those occurring naturally in the environment, those of potential importance in routine or accidental releases from the nuclear fuel cycle, those of current interest in nuclear medicine and fusion reactor technology, and some of those of interest to Committee 2 of the International Commission on Radiological Protection for the estimation of annual limits on intake via inhalation and ingestion for occupationally exposed individuals.
Neutrinoless double beta decay in seesaw models
Mattias Blennow; Enrique Fernandez-Martinez; Jacobo Lopez-Pavon; Javier Menendez
2014-05-12
We study the general phenomenology of neutrinoless double beta decay in seesaw models. In particular, we focus on the dependence of the neutrinoless double beta decay rate on the mass of the extra states introduced to account for the Majorana masses of light neutrinos. For this purpose, we compute the nuclear matrix elements as functions of the mass of the mediating fermions and estimate the associated uncertainties. We then discuss what can be inferred on the seesaw model parameters in the different mass regimes and clarify how the contribution of the light neutrinos should always be taken into account when deriving bounds on the extra parameters. Conversely, the extra states can also have a significant impact, cancelling the Standard Model neutrino contribution for masses lighter than the nuclear scale and leading to vanishing neutrinoless double beta decay amplitudes even if neutrinos are Majorana particles. We also discuss how seesaw models could reconcile large rates of neutrinoless double beta decay with more stringent cosmological bounds on neutrino masses.
Linear Motor Powered Transportation
Thornton, Richard D.
This special issue on linear-motor powered transportation covers both supporting technologies and innovative transport systems in various parts of the World, as this technology moves from the lab to commercial operations. ...
The International Linear Collider
Jim Brau; Paul Grannis; Mike Harrison; Michael Peskin; Marc Ross; Harry Weerts
2013-04-09
We present a brief summary of the International Linear Collider as documented in the 2013 Technical Design Report. The Technical Design Report has detailed descriptions of the accelerator baseline design for a 500 GeV e+e- linear collider, the R&D program that has demonstrated its feasibility, the physics goals and expected sensitivities, and the description of the ILD and SiD detectors and their capabilities.
A New Algorithm for Linear Programming
Dhananjay P. Mehendale
2015-03-28
In this paper we propose two types of new algorithms for linear programming. The first type of these new algorithms uses algebraic methods while the second type of these new algorithms uses geometric methods. The first type of algorithms is based on treating the objective function as a parameter. In this method, we form a matrix using coefficients in the system of equations consisting objective equation and equations obtained from inequalities defining constraint by introducing slack/surplus variables. We obtain reduced row echelon form for this matrix containing only one variable, namely, the objective function itself as an unknown parameter. We analyse this matrix in the reduced row echelon form and develop a clear cut method to find the optimal solution for the problem at hand, if and when it exists. We see that the entire optimization process can be developed through the proper analysis of the said matrix in the reduced row echelon form. The second type of algorithms that we propose for linear programming are inspired by geometrical considerations. All these algorithms pursue common aim of approaching closer and closer to centroid or some centrally located interior point for speeding up the process of reaching an optimal solution! We then proceed to show that the algebraic method developed above for linear programming naturally extends to non-linear and integer programming problems. For non-linear and integer programming problems we use the technique of Grobner bases and the methods of solving linear Diophantine equations respectively.
The Physiological Basis of BOLD Functional MRI /
Griffeth, Valerie Ewing McClintock
2013-01-01
metabolism Detailed biophysical model of the BOLD response Functional magnetic resonance imaging Generalized calibration model General linear model Gradient
Math 511 Linear Algebra with Applications. Text: Linear Algebra and ...
Jaroslaw Wlodarczyk
2007-12-15
Math 511 Linear Algebra with Applications. This is a Linear Algebra course primarily for graduate engineering students. Enclosed is a sample outline which is ...
6, 74277469, 2006 Linear ozone
Boyer, Edmond
ACPD 6, 74277469, 2006 Linear ozone photochemistry parametrizations A. J. Geer et al. Title Page Chemistry and Physics Discussions Evaluation of linear ozone photochemistry parametrizations Linear ozone photochemistry parametrizations A. J. Geer et al. Title Page Abstract Introduction
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Kong, Kyoungchui; Lee, Hye-Sung; Park, Myeonhun
We suggest top quark decays as a venue to search for light dark force carriers. Top quark is the heaviest particle in the standard model whose decays are relatively poorly measured, allowing sufficient room for exotic decay modes from new physics. A very light (GeV scale) dark gauge boson (Z') is a recently highlighted hypothetical particle that can address some astrophysical anomalies as well as the 3.6 ? deviation in the muon g-2 measurement. We present and study a possible scenario that top quark decays as t ? b W + Z's. This is the same as the dominant topmore »quark decay (t ? b W) accompanied by one or multiple dark force carriers. The Z' can be easily boosted, and it can decay into highly collimated leptons (lepton-jet) with large branching ratio. We discuss the implications for the Large Hadron Collider experiments including the analysis based on the lepton-jets.« less
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Kong, Kyoungchui [Kansas; Lee, Hye-Sung [W&M, JLAB; Park, Myeonhun [Tokyo
2014-04-01
We suggest top quark decays as a venue to search for light dark force carriers. Top quark is the heaviest particle in the standard model whose decays are relatively poorly measured, allowing sufficient room for exotic decay modes from new physics. A very light (GeV scale) dark gauge boson (Z') is a recently highlighted hypothetical particle that can address some astrophysical anomalies as well as the 3.6 ? deviation in the muon g-2 measurement. We present and study a possible scenario that top quark decays as t ? b W + Z's. This is the same as the dominant top quark decay (t ? b W) accompanied by one or multiple dark force carriers. The Z' can be easily boosted, and it can decay into highly collimated leptons (lepton-jet) with large branching ratio. We discuss the implications for the Large Hadron Collider experiments including the analysis based on the lepton-jets.
Jackson, P.D.; /Victoria U.
2006-02-24
Recent results from Belle and BaBar on rare B decays involving flavor-changing neutral currents or purely leptonic final states are presented. Measurements of the CP asymmetries in B {yields} K*{gamma} and b {yields} s{gamma} are reported. Also reported are updated limits on B{sup +} {yields} K{sup +}{nu}{bar {nu}}, B{sup +} {yields} {tau}{sup +}{nu}, B{sup +} {yields} {mu}{sup +}{nu} and the recent measurement of B {yields} X{sub s}{ell}{sup +}{ell}{sup -}.
{tau} decays and chiral perturbation theory
Colangelo, G.; Finkemeier, M.; Urech, R.
1996-10-01
In a small window of phase space, chiral perturbation theory can be used to make standard model predictions for {tau} decays into two and three pions. For {tau}{r_arrow}2{pi}{nu}{sub {tau}}, we give the analytical result for the relevant form factor {ital F}{sub {ital V}} up to two loops, then calculate the differential spectrum and compare with available data. For {tau}{r_arrow}3{pi}{nu}{sub {tau}}, we have calculated the hadronic matrix element to one loop. We discuss the decomposition of the three pion states into partition states and we give detailed predictions for the decay in terms of structure functions. We also compare with low energy predictions of meson dominance models. Overall, we find good agreement, but also some interesting discrepancies, which might have consequences beyond the limit of validity of chiral perturbation theory. {copyright} {ital 1996 The American Physical Society.}
Linear Algebra: Ideas and Applications
Linear Algebra: Ideas and Applications. [photo]. Welcome to the web page for Linear Algebra: Idaes and Applications by Richard Penney. This web site is ...
Linear-quadratic fractional Gaussian control
Duncan, Tyrone E.; Pasik-Duncan, Bozenna
2013-01-01
In this paper a control problem for a linear stochastic system driven by a noise process that is an arbitrary zero mean, square integrable stochastic process with continuous sample paths and a cost functional that is quadratic in the system state...
IMPROVED DENSITY ESTIMATORS FOR INVERTIBLE LINEAR PROCESSES
Wefelmeyer, Wolfgang
IMPROVED DENSITY ESTIMATORS FOR INVERTIBLE LINEAR PROCESSES Anton Schick Department of Mathematical-statistic with kernel of the form K(x) = k(x - ay)k(y) dy. Schick and Wefelmeyer (2004b, 2007a) prove functional central and Schick (2007) obtain similar results for derivatives of convolutions. Schick and Wefelmeyer (2008b
Electrons from Muon Decay in Bound State
Rashid M. Djilkibaev; Rostislav V. Konoplich
2009-02-12
We present results of a study of the muon decay in orbit (DIO) contribution to the signal region of muon - electron conversion. Electrons from DIO are the dominant source of background for muon - electron conversion experiments because the endpoint of DIO electrons is the same as the energy of electrons from elastic muon - electron conversion. The probability of DIO contribution to the signal region was considered for a tracker with Gaussian resolution function and with a realistic resolution function obtained in the application of pattern recognition and momentum reconstruction Kalman filter based procedure to GEANT simulated DIO events. It is found that the existence of non Gaussian tails in the realistic resolution function does not lead to a significant increase in DIO contribution to the signal region. The probability of DIO contribution to the calorimeter signal was studied in dependence on the resolution, assuming a Gaussian resolution function of calorimeter. In this study the geometrical acceptance played an important role, suppressing DIO contribution of the intermediate range electrons from muon decay in orbit.
QPL 2005 Preliminary Version De-linearizing linearity: projective quantum
Selinger, Peter
QPL 2005 Preliminary Version De-linearizing linearity: projective quantum axiomatics from strong the linear structure of Hilbert spaces into several constituents which play different roles in quantum)famous Birkhoff- von Neumann paper [7]. The bulk of the linear structure required to reason about quantum
Tunnel current across linear homocatenated germanium chains
Matsuura, Yukihito, E-mail: matsuura@chem.nara-k.ac.jp [Department of Chemical Engineering, Nara National College of Technology Yatacho 22, Yamato-koriyama, Nara 539-1080 (Japan)
2014-01-28
The electronic transport properties of germanium oligomers catenating into linear chains (linear Ge chains) have been theoretically studied using first principle methods. The conduction mechanism of a Ge chain sandwiched between gold electrodes was analyzed based on the density of states and the eigenstates of the molecule in a two-probe environment. Like that of silicon chains (Si chains), the highest occupied molecular orbital of Ge chains contains the extended ?-conjugation of Ge 4p orbitals at energy levels close to the Fermi level; this is in contrast to the electronic properties of linear carbon chains. Furthermore, the conductance of a Ge chain is expected to decrease exponentially with molecular length L. The decay constant ?, which is defined as e{sup ??L}, of a Ge chain is similar to that of a Si chain, whereas the conductance of the Ge chains is higher than that of Si chains even though the Ge–Ge bond length is longer than the Si–Si bond length.
The International Linear Collider as a Kaluza-Klein Factory
Biplob Bhattacherjee; Anirban Kundu
2005-09-02
In the minimal Universal Extra Dimension model, single production of n = 2 gauge bosons provides a unique discriminating feature from supersymmetry. We discuss how the proposed International Linear Collider can act as a n = 2 factory, much in the same vein as LEP. We also touch upon the potential of the gamma-gamma mode of the collider to study the production and the decay of an intermediate mass Higgs boson and its KK excitations.
Linear Programming Environmental
Nagurney, Anna
Linear Program to control air pollution was developed in 1968 by Teller, which minimized cost Fall 2006 #12;Topics · Introduction · Background · Air · Land · Water #12;Introduction · "The United States spends more than 2% of its gross domestic product on pollution control, and this is more than any
W. B. Vasantha Kandasamy; Florentin Smarandache
2010-12-08
In this book we use only special types of intervals and introduce the notion of different types of interval linear algebras and interval vector spaces using the intervals of the form [0, a] where the intervals are from Zn or Z+ \\cup {0} or Q+ \\cup {0} or R+ \\cup {0}. A systematic development is made starting from set interval vector spaces to group interval vector spaces. Vector spaces are taken as interval polynomials or interval matrices or just intervals over suitable sets or semigroups or groups. Main feature of this book is the authors have given over 350 examples. This book has six chapters. Chapter one is introductory in nature. Chapter two introduces the notion of set interval linear algebras of type one and two. Set fuzzy interval linear algebras and their algebras and their properties are discussed in chapter three. Chapter four introduces several types of interval linear bialgebras and bivector spaces and studies them. The possible applications are given in chapter five. Chapter six suggests nearly 110 problems of all levels.
Soudan 2 nucleon decay experiment
Thron, J.L.
1986-01-01
The Soudan 2 nucleon decay experiment consists of a 1.1 Kton fine grained iron tracking calorimeter. It has a very isotropic detection structure which along with its flexible trigger will allow detection of multiparticle and neutrino proton decay modes. The detector has now entered its construction stage.
Becker, Jörg D
2015-01-01
In many European countries the growth of the real GDP per capita has been linear since 1950. An explanation for this linearity is still missing. We propose that in artificial intelligence we may find models for a linear growth of performance. We also discuss possible consequences of the fact that in systems with linear growth the percentage growth goes to zero.
Automatic Linear Orders (Revised Version)
Stephan, Frank
CDMTCS Research Report Series Automatic Linear Orders and Trees (Revised Version) Bakhadyr; Automatic Linear Orders and Trees Bakhadyr Khoussainov, Sasha Rubin and Frank Stephan November 13, 2003 emphasis is on trees and linear orders. We study the relationship between automatic linear orders and trees
Neutrinoless Double Beta Decay with SNO+
J. Hartnell; for the SNO+ collaboration
2012-01-30
SNO+ will search for neutrinoless double beta decay by loading 780 tonnes of linear alkylbenzene liquid scintillator with O(tonne) of neodymium. Using natural Nd at 0.1% loading will provide 43.7 kg of 150Nd given its 5.6% abundance and allow the experiment to reach a sensitivity to the effective neutrino mass of 100-200 meV at 90% C.L in a 3 year run. The SNO+ detector has ultra low backgrounds with 7000 tonnes of water shielding and self-shielding of the scintillator. Distillation and several other purification techniques will be used with the aim of achieving Borexino levels of backgrounds. The experiment is fully funded and data taking with light-water will commence in 2012 with scintillator data following in 2013.
Gaitan, R.; Miranda, O. G.; Cabral-Rosetti, L. G.
2009-04-20
Top quark decays are interesting as a mean to test the Standard Model (SM) predictions. The Cabbibo-Kobayashi-Maskawa (CKM)-suppressed process t{yields}cWW, and the rare decays t{yields}cZ, t{yields}H{sup 0}+c, and t{yields}c{gamma} an excellent window to probe the predictions of theories beyond the SM. We evaluate the flavor changing neutral currents (FCNC) decay t{yields}H{sup 0}+c in the context of Alternative Left-Right symmetric Models (ALRM) with extra isosinglet heavy fermions; the FCNC decays may place at tree level and are only supressed by the mixing between ordinary top and charm quarks. We also comment on the decay process t{yields}c+{gamma}, which involves radiative corrections.
Proton Decay and the Planck Scale
Larson, Daniel T.
2009-01-01
LBNL- 56556 PROTON DECAY AND THE PLANCK SCALE DANIEL T.ph/0410035v1 2 Oct 2004 PROTON DECAY AND THE PLANCK SCALE ?without grand uni?cation, proton decay can be a powerful
Search for neutrinoless decays of the ? lepton
Baringer, Philip S.
1990-02-01
We have searched for neutrinoless ? decays into three charged particles. Evidence of such decays would demonstrate nonconservation of lepton flavor and, in some cases, lepton number. We see no signal for any such neutrinoless ? decays and set upper...
Double beta decays of {sup 106}Cd
Suhonen, Jouni [Department of Physics, P.O. Box 35 (YFL), FI-40014 University of Jyvaeskylae (Finland)
2011-12-16
The two-neutrino (2{nu}2{beta}) and neutrinoless (0{nu}2{beta}) double beta decays of {sup 106}Cd are studied for the transitions to the ground state 0{sub gs}{sup +} and 0{sup +} and 2{sup +} excited states in {sup 106}Pd by using realistic many-body wave functions calculated in the framework of the quasiparticle random-phase approximation. Effective, G-matrix-derived nuclear forces are used in realistic single-particle model spaces. All the possible channels, {beta}{sup +}{beta}{sup +}, {beta}{sup +}EC, and ECEC, are discussed for both the 2{nu}2{beta} and 0{nu}2{beta} decays. The associated half-lives are computed and particular attention is devoted to the study of the detectability of the resonant neutrinoless double electron capture (R0{nu}ECEC) process in {sup 106}Cd. The calculations of the present article constitute the thus far most complete and up-to-date investigation of the double-beta-decay properties of {sup 106}Cd.
Parametric instability of a monochromatic Alfven wave: Perpendicular decay in low beta plasma
Gao, Xinliang; Lu, Quanming; Shan, Lican; Wang, Shui; Li, Xing
2013-07-15
Two-dimensional hybrid simulations are performed to investigate the parametric decay of a monochromatic Alfven wave in low beta plasma. Both the linearly and left-hand polarized pump Alfven waves are considered in the paper. For the linearly polarized pump Alfven wave, either a parallel or obliquely propagating wave can lead to the decay along the perpendicular direction. Initially, the parametric decay takes place along the propagating direction of the pump wave, and then the decay occurs in the perpendicular direction. With the increase of the amplitude and the propagating angle of the pump wave (the angle between the propagating direction of the pump wave and the ambient magnetic field), the spectral range of the excited waves becomes broad in the perpendicular direction. But the effects of the plasma beta on the spectral range of the excited waves in perpendicular direction are negligible. However, for the left-hand polarized pump Alfven wave, when the pump wave propagates along the ambient magnetic field, the parametric decay occurs nearly along the ambient magnetic field, and there is no obvious decay in the perpendicular direction. Significant decay in the perpendicular direction can only be found when the pump wave propagates obliquely.
Sudden transition from naked atom decay to dressed atom decay
Wei Zhu; D. L. Zhou
2015-07-09
The studies on quantum open system play key roles not only in fundamental problems in quantum mechanics but also in quantum computing and information processes. Here we propose a scheme to use a one dimensional coupling cavity array (CCA) as an artificial electromagnetic environment of a two-level atom. For a finite length of CCA, we find that after a turning time the population of excited state deviates suddenly from the exponential decay. We show that physically this phenomena corresponds to a transition from a naked atom decay to a dressed state decay. We hope that our finding will promote the studies on quantum system with a finite size environment.
Short-range correlations and neutrinoless double beta decay
M. Kortelainen; O. Civitarese; J. Suhonen; J. Toivanen
2007-01-18
In this work we report on the effects of short-range correlations upon the matrix elements of neutrinoless double beta decay. We focus on the calculation of the matrix elements of the neutrino-mass mode of neutrinoless double beta decays of 48Ca and 76Ge. The nuclear-structure components of the calculation, that is the participant nuclear wave functions, have been calculated in the shell-model scheme for 48Ca and in the proton-neutron quasiparticle random-phase approximation (pnQRPA) scheme for 76Ge. We compare the traditional approach of using the Jastrow correlation function with the more complete scheme of the unitary correlation operator method (UCOM). Our results indicate that the Jastrow method vastly exaggerates the effects of short-range correlations on the neutrinoless double beta decay nuclear matrix elements.
Banks, R.M.
1986-01-14
This patent describes a linear output nitinol engine consisting of a number of integrated communicating parts. The engine has an external support framework which is described in detail. The patent further describes a wire transport mechanism, a pair of linkage levers with a loom secured to them, a number of nitinol wires strung between the looms, and a power takeoff block secured to the linkage levers. A pulley positioned in a flip-flop supporting bracket and a power takeoff modality including a tension member connected to a power output cable in order to provide linear power output transmission is described. A method for biasing the timing and the mechanism for timing the synchronization of the throw over arms and the flip-flop of the pulley are also described.
DOSIMETRY; RADIOISOTOPES; DECAY; ACCURACY; DATA COMPILATION;...
Office of Scientific and Technical Information (OSTI)
Radioactive decay data tables Kocher, D.C. 61 RADIATION PROTECTION AND DOSIMETRY; RADIOISOTOPES; DECAY; ACCURACY; DATA COMPILATION; DOSIMETRY; M CODES; COMPUTER CODES; DATA;...
Combustion powered linear actuator
Fischer, Gary J. (Albuquerque, NM)
2007-09-04
The present invention provides robotic vehicles having wheeled and hopping mobilities that are capable of traversing (e.g. by hopping over) obstacles that are large in size relative to the robot and, are capable of operation in unpredictable terrain over long range. The present invention further provides combustion powered linear actuators, which can include latching mechanisms to facilitate pressurized fueling of the actuators, as can be used to provide wheeled vehicles with a hopping mobility.
Buttram, M.T.; Ginn, J.W.
1988-06-21
A linear induction accelerator includes a plurality of adder cavities arranged in a series and provided in a structure which is evacuated so that a vacuum inductance is provided between each adder cavity and the structure. An energy storage system for the adder cavities includes a pulsed current source and a respective plurality of bipolar converting networks connected thereto. The bipolar high-voltage, high-repetition-rate square pulse train sets and resets the cavities. 4 figs.
Linear stability analysis of transverse dunes
Melo, Hygor P M; Andrade, José S; Herrmann, Hans J
2012-01-01
Sand-moving winds blowing from a constant direction in an area of high sand availability form transverse dunes, which have a fixed profile in the direction orthogonal to the wind. Here we show, by means of a linear stability analysis, that transverse dunes are intrinsically unstable. Any along-axis perturbation on a transverse dune amplify in the course of dune migration due to the combined effect of two main factors, namely: the lateral transport through avalanches along the dune's slip-face, and the scaling of dune migration velocity with the inverse of the dune height. Our calculations provide a quantitative explanation for recent observations from experiments and numerical simulations, which showed that transverse dunes moving on the bedrock cannot exist in a stable form and decay into a chain of crescent-shaped barchans.
Linear stability analysis of transverse dunes
Hygor P. M. Melo; Eric J. R. Parteli; José S. Andrade Jr; Hans J. Herrmann
2012-02-16
Sand-moving winds blowing from a constant direction in an area of high sand availability form transverse dunes, which have a fixed profile in the direction orthogonal to the wind. Here we show, by means of a linear stability analysis, that transverse dunes are intrinsically unstable. Any along-axis perturbation on a transverse dune amplify in the course of dune migration due to the combined effect of two main factors, namely: the lateral transport through avalanches along the dune's slip-face, and the scaling of dune migration velocity with the inverse of the dune height. Our calculations provide a quantitative explanation for recent observations from experiments and numerical simulations, which showed that transverse dunes moving on the bedrock cannot exist in a stable form and decay into a chain of crescent-shaped barchans.
The International Linear Collider
Barish, Barry
2013-01-01
In this article, we describe the key features of the recently completed technical design for the International Linear Collider (ILC), a 200-500 GeV linear electron-positron collider (expandable to 1 TeV) that is based on 1.3 GHz superconducting radio-frequency (SCRF) technology. The machine parameters and detector characteristics have been chosen to complement the Large Hadron Collider physics, including the discovery of the Higgs boson, and to further exploit this new particle physics energy frontier with a precision instrument. The linear collider design is the result of nearly twenty years of R&D, resulting in a mature conceptual design for the ILC project that reflects an international consensus. We summarize the physics goals and capability of the ILC, the enabling R&D and resulting accelerator design, as well as the concepts for two complementary detectors. The ILC is technically ready to be proposed and built as a next generation lepton collider, perhaps to be built in stages beginning as a Hig...
E. El aaoud
1998-01-08
Motivated by the experimental measurement of the decay rate, $\\Gamma$, and the longitudinal polarization, $P_L$, in the Cabibbo favored decay $D_s^+\\to \\phi {\\rho}^{+}$, we have studied theoretical prediction within the context of factorization approximation invoking several form factors models. We were able to obtain agreement with experiment for both $\\Gamma$ and $P_L$ by using experimentally measured values of the form factors $A_1^{D_s\\phi}(0)$, $A_2^{D_s\\phi}(0)$ and $V^{D_s\\phi}(0)$ in the semi-leptonic decay $D_s^+\\to \\phi l^{+}\
Neutrinoless Double Beta Decay Constraints
Hiroaki Sugiyama
2003-07-25
A brief overview is given of theoretical analyses with neutrinoless double beta decay experiments. Theoretical bounds on the ``observable'', _betabeta, are presented. By using experimental bounds on _betabeta, allowed regions are obtained on the m_l-cos{2theta_12} plane, where m_l stands for the lightest neutrino mass. It is shown that Majorana neutrinos can be excluded by combining possible results of future neutrinoless double beta decay and {}^3H beta decay experiments. A possibility to constrain one of two Majorana phases is discussed also.
Algorithms for Solving Linear Congruences and Systems of Linear Congruences
Florentin Smarandache
2007-02-16
In this article we determine several theorems and methods for solving linear congruences and systems of linear congruences, and we find the number of distinct solutions. Many examples of solving congruences are given.
Aleks Kleyn
2010-01-27
On the set of mappings of the given set, we define the product of mappings. If A is associative algebra, then we consider the set of matrices, whose elements are linear mappings of algebra A. In algebra of matrices of linear mappings we define the operation of product. The operation is based on the product of mappings. If the matrix a of linear mappings has an inverse matrix, then the quasideterminant of the matrix a and the inverse matrix are matrices of linear mappings. In the paper, I consider conditions when a matrix of linear mappings has inverse matrix, as well methods of solving a system of linear equations in an associative algebra.
Generator Coordinate Method framework for Double Beta Decay
Andrzej Bobyk; Wies?aw A. Kami?ski
2014-11-10
We propose a consistent prescription for the derivation of the particle number and angular momentum projected QRPA (PQRPA) equation in the Generator Coordinate Method (GCM) framework for calculation of NME's of double-beta decay of axially deformed nuclei. We derive closed formulae for the calculation of excitation energies and wave functions of the intermediate nucleus.
Anatomy of three-body decay III. Energy distributions
E. Garrido; D. V. Fedorov; A. S. Jensen; H. O. U. Fynbo
2005-12-01
We address the problem of calculating momentum distributions of particles emerging from the three-body decay of a many-body resonance. We show that these distributions are determined by the asymptotics of the coordinate-space complex-energy wave-function of the resonance. We use the hyperspherical adiabatic expansion method where all lengths are proportional to the hyperradius. The structures of the resonances are related to different decay mechanisms. For direct decay all inter-particle distances increase proportional to the hyperradius at intermediate and large distances. Sequential three-body decay proceeds via spatially confined quasi-stationary two-body configurations. Then two particles remain close while the third moves away. The wave function may contain mixtures which produce coherence effects at small distances, but the energy distributions can still be added incoherently. Two-neutron halos are discussed in details and illustrated by the $2^+$ resonance in $^{6}$He. The dynamic evolution of the decay process is discussed.
Moretto, L.G.; Wozniak, G.J.
1988-11-01
The formation of hot compound nuclei in intermediate-energy heavy ion reactions is discussed. The statistical decay of such compound nuclei is responsible for the abundant emission of complex fragments and high energy gamma rays. 43 refs., 23 figs.
Oxford, University of
for the extinction profile, constrained by aerosol opti- cal thickness. Considering simulated data, the scheme is successful even where the aerosol profile deviates sig- nificantly from the simple model assumed. Application. Further, many methods of lidar analysis are designed to only consider regions where the overlap function
The International Linear Collider
Marco Battaglia
2007-05-28
The International Linear Collider (ILC) is the next large scale project in accelerator particle physics. Colliding electrons with positrons at energies from 0.3 TeV up to about 1 TeV, the ILC is expected to provide the accuracy needed to complement the LHC data and extend the sensitivity to new phenomena at the high energy frontier and answer some of the fundamental questions in particle physics and in its relation to Cosmology. This paper reviews some highlights of the ILC physics program and some of the major challenges for the accelerator and detector design.
Ishkhanyan, A M
2015-01-01
We discuss the possibility of non-exponential Auger decay of atoms irradiated by X-ray photons. This effect can occur at times, which are greater than the lifetime of a system under consideration. The mechanism for non-exponential depletion of an initial quasi-stationary state is the cutting of the electron energy spectrum of final continuous states at small energies. Then the Auger decay amplitude obeys power-law dependence on long observation times.
CP violation in sbottom decays
Frank F. Deppisch; Olaf Kittel
2010-03-26
We study CP asymmetries in two-body decays of bottom squarks into charginos and tops. These asymmetries probe the SUSY CP phases of the sbottom and the chargino sector in the Minimal Supersymmetric Standard Model. We identify the MSSM parameter space where the CP asymmetries are sizeable, and analyze the feasibility of their observation at the LHC. As a result, potentially detectable CP asymmetries in sbottom decays are found, which motivates further detailed experimental studies for probing the SUSY CP phases.
Park, Joung Won
2010-10-12
, and Temperature (PVT) variations and increase high power input capability. After analyzing and designing a resistive feedback LNA, novel linearization methods were applied. A highly linear broadband LNA is designed and simulated in 65nm CMOS technology. Simulation...
Signature of nonexponential nuclear decay
A Ray; A K Sikdar; A De
2015-03-18
Precision tests of decay law of radioactive nuclei have not so far found any deviation from the exponential decay law at early time, as predicted by quantum mechanics. In this paper, we show that the quantum decoherence time (i.e. the timescale of nonexponential decay) of the quasifission or fission process should be of the order of attosecond considering the atom of the fissioning nucleus as a quantum detector. Hence, the observed decay timescale of the quasifission or fission process of even highly excited (EX greater than 50 MeV) transuranium and uraniumlike complexes should be rather long (of the order of attosecond) in spite of their very fast exponential decay timescale (of the order of zeptosecond) as measured by the nuclear techniques. Recent controversy regarding the observation of very long (of the order of attosecond ) and very short (of the order of zeptosecond ) quasifission or fission timescales for similar systems at similar excitation energies as obtained by direct techniques (crystal blocking, X ray fission fragment) and nuclear techniques could be interpreted as evidence for nonexponential decays in nuclear systems
Simple Linear Regression Basic Ideas
Simple Linear Regression Basic Ideas Some Examples Least Squares Statistical View of Least Squares of Least Squares #12;Simple Linear Regression Basic Ideas Some Examples Least Squares Basic Ideas Suppose #12;Simple Linear Regression Basic Ideas Some Examples Least Squares Basic Ideas Suppose we have two
Linear Solvers 1.Introduction [1
McCalley, James D.
linear algebra packages including LAPACK, ScaLAPACK and PETSc, are built on top of BLAS. Most of standard, portable solver libraries available, including: BLAS (Basic linear algebra subprograms): Many (Automatically Tuned Linear Algebra Software package) is a version of BLAS that, upon installation, tests
Special set linear algebra and special set fuzzy linear algebra
W. B. Vasantha Kandasamy; Florentin Smarandache; K. Ilanthenral
2009-12-30
The authors in this book introduce the notion of special set linear algebra and special set fuzzy Linear algebra, which is an extension of the notion set linear algebra and set fuzzy linear algebra. These concepts are best suited in the application of multi expert models and cryptology. This book has five chapters. In chapter one the basic concepts about set linear algebra is given in order to make this book a self contained one. The notion of special set linear algebra and their fuzzy analogue is introduced in chapter two. In chapter three the notion of special set semigroup linear algebra is introduced. The concept of special set n-vector spaces, n greater than or equal to three is defined and their fuzzy analogue is their fuzzy analogue is given in chapter four. The probable applications are also mentioned. The final chapter suggests 66 problems.
Inpainting with sparse linear combinations of exemplars
Wohlberg, Brendt
2008-01-01
We introduce a new exemplar-based inpainting algorithm based on representing the region to be inpainted as a sparse linear combination of blocks extracted from similar parts of the image being inpainted. This method is conceptually simple, being computed by functional minimization, and avoids the complexity of correctly ordering the filling in of missing regions of other exemplar-based methods. Initial performance comparisons on small inpainting regions indicate that this method provides similar or better performance than other recent methods.
Forbidden unique beta-decays and neutrino mass
Dvornický, Rastislav [Bogoliubov Laboratory of Theoretical Physics, JINR Dubna, 141980 Dubna, Moscow region, Russian Federation and Department of Nuclear Physics and Biophysics, Comenius University, Mlynská dolina F1, SK-84215 Bratislava (Slovakia); Šimkovic, Fedor [Department of Nuclear Physics and Biophysics, Comenius University, Mlynská dolina F1, SK-84215 Bratislava, Slovakia and IEAP, Czech Technical University, CZ-128 00 Prague (Czech Republic)
2013-12-30
The measurement of the electron spectrum in beta-decays provides a robust direct determination of the values of neutrino masses. The planned rhenium beta-decay experiment, called the “Microcalorimeter Arrays for a Rhenium Experiment” (MARE), might probe the absolute mass scale of neutrinos with the same sensitivity as the Karlsruhe tritium neutrino mass (KATRIN) experiment, which is expected to collect data in a near future. In this contribution we discuss the spectrum of emitted electrons close to the end point in the case of the first unique forbidden beta-decay of {sup 79}Se, {sup 107}Pd and {sup 187}Re. It is found that the p{sub 3/2}-wave emission dominates over the s{sub 1/2}-wave. It is shown that the Kurie plot near the end point is within a good accuracy linear in the limit of massless neutrinos like the Kurie plot of the superallowed beta-decay of {sup 3}H.
Gugat, Martin
consisting of two linear mappings, an allocation and a timing function. In this paper, we address the problem allocation function, a continuous relaxation of this problem is studied by passing from linear to quasi of the null space of the allocation function. Therefore, a branching approach is proposed for finding quasi
Lyapunov Function Synthesis using Handelman Representations.
Sankaranarayanan, Sriram
Lyapunov Function Synthesis using Handelman Representations. Sriram Sankaranarayanan Xin Chen investigate linear programming relaxations to synthesize Lyapunov functions that es- tablish the stability approach searches for a Lyapunov function, given a parametric form with unknown coefficients
Higgs decay to two photons at one-loop in the SMEFT
Christine Hartmann; Michael Trott
2015-10-29
We present the calculation of the $\\rm CP$ conserving contributions to $\\Gamma(h \\rightarrow \\gamma \\gamma)$, from dimension six operators at one-loop order, in the linear Standard Model Effective Field Theory. We discuss the impact of these corrections on interpreting current and future experimental bounds on this decay.
Higgs decay to two photons at one-loop in the SMEFT
Hartmann, Christine
2015-01-01
We present the calculation of the $\\rm CP$ conserving contributions to $\\Gamma(h \\rightarrow \\gamma \\gamma)$, from dimension six operators at one-loop order, in the linear Standard Model Effective Field Theory. We discuss the impact of these corrections on interpreting current and future experimental bounds on this decay.
The International Linear Collider
Karsten Buesser
2013-06-13
The International Linear Collider (ILC) is a proposed electron-positron collider for the centre-of-mass energy range of 200 to 500 GeV and with upgrade options towards 1 TeV. The ILC would be the ideal tool to explore with high precision the properties of the new Higgs-like particle that has recently been discovered at the LHC with a mass of around 125 GeV. The ILC accelerator design is based on the mature superconducting technology that has been developed in the TESLA collaboration and that is currently being used for the European XFEL. The exploitation of the huge physics potential of the ILC is a challenge for the design of the ILC detectors.
Positrons for linear colliders
Ecklund, S.
1987-11-01
The requirements of a positron source for a linear collider are briefly reviewed, followed by methods of positron production and production of photons by electromagnetic cascade showers. Cross sections for the electromagnetic cascade shower processes of positron-electron pair production and Compton scattering are compared. A program used for Monte Carlo analysis of electromagnetic cascades is briefly discussed, and positron distributions obtained from several runs of the program are discussed. Photons from synchrotron radiation and from channeling are also mentioned briefly, as well as positron collection, transverse focusing techniques, and longitudinal capture. Computer ray tracing is then briefly discussed, followed by space-charge effects and thermal heating and stress due to showers. (LEW)
Isospin mixing and energy distributions in three-body decay
E. Garrido; D. V. Fedorov; H. O. U. Fynbo; A. S. Jensen
2007-03-21
The structure of the second 2$^+$ resonance in $^{6}$Li is investigated with special emphasis on its isospin 0 components. The wave functions are computed in a three-body model ($\\alpha$+$n$+$p$) using the hyperspherical adiabatic expansion method combined with complex scaling. In the decay into three free particles the symmetry conserving short-range interaction dominates at short distance whereas the symmetry breaking Coulomb interaction dominates at intermediate and large distances resulting in substantial isospin mixing. We predict the mixing and the energy distributions of the fragments after decay. Computations are consistent with available experiments. We conjecture that nuclear three-body decays frequently produce such large isospin mixing at large distance where the energy distributions. are determined.
Signature of nonexponential nuclear decay
Ray, A; De, A
2015-01-01
Precision tests of decay law of radioactive nuclei have not so far found any deviation from the exponential decay law at early time, as predicted by quantum mechanics. In this paper, we show that the quantum decoherence time (i.e. the timescale of nonexponential decay) of the quasifission or fission process should be of the order of attosecond considering the atom of the fissioning nucleus as a quantum detector. Hence, the observed decay timescale of the quasifission or fission process of even highly excited (EX greater than 50 MeV) transuranium and uraniumlike complexes should be rather long (of the order of attosecond) in spite of their very fast exponential decay timescale (of the order of zeptosecond) as measured by the nuclear techniques. Recent controversy regarding the observation of very long (of the order of attosecond ) and very short (of the order of zeptosecond ) quasifission or fission timescales for similar systems at similar excitation energies as obtained by direct techniques (crystal blocking...
Linear Algebraic Method for Non-Linear Map Analysis
Yu,L.; Nash, B.
2009-05-04
We present a newly developed method to analyze some non-linear dynamics problems such as the Henon map using a matrix analysis method from linear algebra. Choosing the Henon map as an example, we analyze the spectral structure, the tune-amplitude dependence, the variation of tune and amplitude during the particle motion, etc., using the method of Jordan decomposition which is widely used in conventional linear algebra.
^{137} Ba Double Gamma Decay Measurement with GAMMASPHERE
Merchán, E.; Moran, K.; Lister, C. J.; Chowdhury, P.; McCutchan, E. A.; Greene, J. P.; Zhu, S.; Lauritsen, T.; Carpenter, M. P.; Shearman, R.
2015-05-28
The study of the electromagnetic moments (EM), and decay probability, provides detailed information about nuclear wave functions. The well-know properties of EM interactions are good for extracting information about the motion of nucleons. Higher order EM processes always occur, but are usually too weak to be measured. In the case of a 0^{+} ? 0^{+} transitions, where a single gamma transition is forbidden, the simultaneous emission of two ?-rays has been studied. An interesting opportunity to further investigate 2-photon emission phenomena is by using a standard ^{137}Cs source populating, via ?-decay, the J^{?} = 11/2^{-} isomeric state at 662 keV in ^{137}Ba. In this case, two photon process can have contributions from quadrupole-quadrupole or dipole-octupole multipolarities in direct competition with the high multipolarity M4 decay. Since the yield of the double gamma decay is around six orders of magnitude less than the first order transition, very good statistics are needed in order to observe the phenomena and great care must be taken to suppress the first-order decay. The Gammasphere array is ideal since its configuration allows a good coverage of the angular distribution and the Compton events can be suppressed. Nevertheless the process to understand and eliminate the Compton background is a challenge. Geant4 simulations were carried out to help understand and correct for those factors.
137 Ba Double Gamma Decay Measurement with GAMMASPHERE
DOE Public Access Gateway for Energy & Science Beta (PAGES Beta)
Merchán, E.; Moran, K.; Lister, C. J.; Chowdhury, P.; McCutchan, E. A.; Greene, J. P.; Zhu, S.; Lauritsen, T.; Carpenter, M. P.; Shearman, R.
2015-05-28
The study of the electromagnetic moments (EM), and decay probability, provides detailed information about nuclear wave functions. The well-know properties of EM interactions are good for extracting information about the motion of nucleons. Higher order EM processes always occur, but are usually too weak to be measured. In the case of a 0+ ? 0+ transitions, where a single gamma transition is forbidden, the simultaneous emission of two ?-rays has been studied. An interesting opportunity to further investigate 2-photon emission phenomena is by using a standard 137Cs source populating, via ?-decay, the J? = 11/2- isomeric state at 662 keVmore »in 137Ba. In this case, two photon process can have contributions from quadrupole-quadrupole or dipole-octupole multipolarities in direct competition with the high multipolarity M4 decay. Since the yield of the double gamma decay is around six orders of magnitude less than the first order transition, very good statistics are needed in order to observe the phenomena and great care must be taken to suppress the first-order decay. The Gammasphere array is ideal since its configuration allows a good coverage of the angular distribution and the Compton events can be suppressed. Nevertheless the process to understand and eliminate the Compton background is a challenge. Geant4 simulations were carried out to help understand and correct for those factors.« less
Linear response of tripartite entanglement to infinitesimal noise
Zhang, Fu-Lin; Chen, Jing-Ling
2014-10-15
Recent experimental progress in prolonging the coherence time of a quantum system prompts us to explore the behavior of quantum entanglement at the beginning of the decoherence process. The response of the entanglement under an infinitesimal noise can serve as a signature of the robustness of entangled states. A crucial problem of this topic in multipartite systems is to compute the degree of entanglement in a mixed state. We find a family of global noise in three-qubit systems, which is composed of four W states. Under its influence, the linear response of the tripartite entanglement of a symmetrical three-qubit pure state is studied. A lower bound of the linear response is found to depend completely on the initial tripartite and bipartite entanglement. This result shows that the decay of tripartite entanglement is hastened by the bipartite one. - Highlights: • We study a set of W-type noise and its linear effect on symmetric pure states. • Its effect on two-qubit entanglement depends only on the initial concurrence. • A lower bound of the effect on 3-tangle is found in terms of initial entanglements. • We obtain the time of three-tangle sudden death for two families of typical states. • These reveal that the bipartite entanglement speeds up the decay of the tripartite one.
International linear collider reference design report
Aarons, G.
2008-01-01
A. Loew, et al. , “International Linear Collider Technologyfor the International Linear Collider”, in preparation [37]for the International Linear Collider,” in PAC05,http://
Predicting Neutrinoless Double Beta Decay
M. Hirsch; Ernest Ma; J. W. F. Valle; A. Villanova del Moral
2005-07-12
We give predictions for the neutrinoless double beta decay rate in a simple variant of the A_4 family symmetry model. We show that there is a lower bound for the neutrinoless double beta decay amplitude even in the case of normal hierarchical neutrino masses, corresponding to an effective mass parameter |m_{ee}| >= 0.17 \\sqrt{\\Delta m^2_{ATM}}. This result holds both for the CP conserving and CP violating cases. In the latter case we show explicitly that the lower bound on |m_{ee}| is sensitive to the value of the Majorana phase. We conclude therefore that in our scheme, neutrinoless double beta decay may be accessible to the next generation of high sensitivity experiments.
Neutrinoless Double Beta Decay Experiments
Alberto Garfagnini
2014-08-11
Neutrinoless double beta decay is the only process known so far able to test the neutrino intrinsic nature: its experimental observation would imply that the lepton number is violated by two units and prove that neutrinos have a Majorana mass components, being their own anti-particle. While several experiments searching for such a rare decay have been performed in the past, a new generation of experiments using different isotopes and techniques have recently released their results or are taking data and will provide new limits, should no signal be observed, in the next few years to come. The present contribution reviews the latest public results on double beta decay searches and gives an overview on the expected sensitivities of the experiments in construction which will be able to set stronger limits in the near future.
Alberto Corrêa dos Reis; on behalf of the LHCb collaboration
2013-08-06
Results on CP violation searches in charm decays performed by the LHCb experiment are reviewed. These include an update of the measurement of the difference in time-integrated {\\em CP} asymmetry between $D^0\\to K^-K^+$ and $D^0\\to \\pi^-\\pi^+$ using $D^0$ from prompt $D^{*+}, a measurement of the same observable using an independent sample of $D^0$ from semileptonic B decays, and CP violation searches performed on charged $D$ mesons. All results have been released since FPCP 2012.
Symmetry violations in nuclear and neutron $?$ decay
K. K. Vos; H. W. Wilschut; R. G. E. Timmermans
2015-09-14
The role of $\\beta$ decay as a low-energy probe of physics beyond the Standard Model is reviewed. Traditional searches for deviations from the Standard Model structure of the weak interaction in $\\beta$ decay are discussed in the light of constraints from the LHC and the neutrino mass. Limits on the violation of time-reversal symmetry in $\\beta$ decay are compared to the strong constraints from electric dipole moments. Novel searches for Lorentz symmetry breaking in the weak interaction in $\\beta$ decay are also included, where we discuss the unique sensitivity of $\\beta$ decay to test Lorentz invariance. We end with a roadmap for future $\\beta$-decay experiments.
Kliman, G.B.; Brynsvold, G.V.; Jahns, T.M.
1989-08-22
A winding and method of winding for a submersible linear pump for pumping liquid sodium are disclosed. The pump includes a stator having a central cylindrical duct preferably vertically aligned. The central vertical duct is surrounded by a system of coils in slots. These slots are interleaved with magnetic flux conducting elements, these magnetic flux conducting elements forming a continuous magnetic field conduction path along the stator. The central duct has placed therein a cylindrical magnetic conducting core, this core having a cylindrical diameter less than the diameter of the cylindrical duct. The core once placed to the duct defines a cylindrical interstitial pumping volume of the pump. This cylindrical interstitial pumping volume preferably defines an inlet at the bottom of the pump, and an outlet at the top of the pump. Pump operation occurs by static windings in the outer stator sequentially conveying toroidal fields from the pump inlet at the bottom of the pump to the pump outlet at the top of the pump. The winding apparatus and method of winding disclosed uses multiple slots per pole per phase with parallel winding legs on each phase equal to or less than the number of slots per pole per phase. The slot sequence per pole per phase is chosen to equalize the variations in flux density of the pump sodium as it passes into the pump at the pump inlet with little or no flux and acquires magnetic flux in passage through the pump to the pump outlet. 4 figs.
Schmidt, David A.
#28; head = f(c0; c0)g #28; tail = f(c0; c2); (c1; c1); (c1; c2)g I #6; (c0) = fitg I #6; (c1) = fg I #6; (c2) = fx; yg . c0 c1 c2 tail head y it tail tail x Rather than states, the nodes now represent on sets.) But here we have a relation, #28; C --- not a function --- to approximate. Dams noted that, #28
6, 66276694, 2006 linearized ozone
Boyer, Edmond
ACPD 6, 66276694, 2006 CHEM2D-OPP linearized ozone photochemistry J. P. McCormack et al. Title Chemistry and Physics Discussions CHEM2D-OPP: A new linearized gas-phase ozone photochemistry.mccormack@nrl.navy.mil) 6627 #12;ACPD 6, 66276694, 2006 CHEM2D-OPP linearized ozone photochemistry J. P. McCormack et al
What can we learn from neutrinoless double beta decay experiments?
Bahcall, John N.
2009-01-01
Limits From Neutrinoless Double-Beta Decay (Rev. ),” ina next generation neutrinoless double beta decay search andPARTICLES? NO NEUTRINOLESS DOUBLE BETA DECAY AND INVERTED
A Search for Neutrinoless Double Beta Decay of Te-130
Bryant, Adam Douglas
2010-01-01
far unobserved, neutrinoless double beta decay is a possibleright for the neutrinoless double beta decay of 130 Te. Thisprocess, with neutrinoless double beta decay being the most
Linear Programming and Kantorovich Spaces
S. Kutateladze
2009-05-08
This is a brief overview of the life of Leonid Kantorovich (1912--1986) and his contribution to the fields of linear programming and ordered vector spaces.
Higgs portal dark matter at a linear collider
Takehiro Nabeshima
2012-02-23
We investigate the possibility of detecting dark matter at TeV scale linear colliders in the scenario where the dark matter interacts with standard model particles only via the Higgs boson. In this scenario, the dark matter would be difficult to be tested at the LHC especially when the decay of the Higgs boson into a dark matter pair is not kinematically allowed. In this talk, we discuss whether even such a case can be explored or not at the ILC and CLIC via the Z boson fusion process. This talk is mainly based on Phys. Rev. D 82, 055026 (2010) and Phys. Lett. B 701, 591 (2011).
Constraining neutrinoless double beta decay
L. Dorame; D. Meloni; S. Morisi; E. Peinado; J. W. F. Valle
2011-11-23
A class of discrete flavor-symmetry-based models predicts constrained neutrino mass matrix schemes that lead to specific neutrino mass sum-rules (MSR). We show how these theories may constrain the absolute scale of neutrino mass, leading in most of the cases to a lower bound on the neutrinoless double beta decay effective amplitude.
Crivellin, Andreas
2015-01-01
While the LHC did not observe direct evidence for physics beyond the standard model, indirect hints for new physics were uncovered in the flavour sector in the decays $B\\to K^*\\mu^+\\mu^-$, $B\\to K\\mu^+\\mu^-/B\\to Ke^+e^-$, $B_s\\to\\phi\\mu^+\\mu^-$, $B\\to D^{(*)}\\tau\
Farrington, S.M.; /Liverpool U.
2006-01-01
The confidence level limits of the CDF and D0 searches for the B{sub s}{sup 0}, B{sub d}{sup 0} {yields} {mu}{sup +}{mu}{sup -} and B{sub s}{sup 0} {yields} {mu}{sup +}{mu}{sup -}{phi} rare decays are presented.
Proton decay matrix elements from lattice QCD
Cooney, Paul
2010-01-01
We present results for the matrix elements relevant for proton decay in Grand Unified Theories (GUTs), using two methods. In the indirect method, we rely on an effective field theory description of proton decay, where ...
Causes and Control of Wood Decay,
1 Causes and Control of Wood Decay, Degradation & Stain #12;2 Contents Moisture .................................................................................3 Wood Degradation: Causes and Control..............................4 Weathering......................................................................................................4 Naturally Decay-resistant Species...........................................................5 Wood
Nuclear matrix elements for double beta decay
Vadim Rodin
2009-10-30
The present status of calculations of the nuclear matrix elements for neutrinoless double beta decay is reviewed. A proposal which allows in principle to measure the neutrinoless double beta decay Fermi matrix element is briefly described.
Baryonic matter perturbations in decaying vacuum cosmology
Marttens, R.F. vom; Zimdahl, W.; Hipólito-Ricaldi, W.S. E-mail: wiliam.ricaldi@ufes.br
2014-08-01
We consider the perturbation dynamics for the cosmic baryon fluid and determine the corresponding power spectrum for a ?(t)CDM model in which a cosmological term decays into dark matter linearly with the Hubble rate. The model is tested by a joint analysis of data from supernovae of type Ia (SNIa) (Constitution and Union 2.1), baryonic acoustic oscillations (BAO), the position of the first peak of the anisotropy spectrum of the cosmic microwave background (CMB) and large-scale-structure (LSS) data (SDSS DR7). While the homogeneous and isotropic background dynamics is only marginally influenced by the baryons, there are modifications on the perturbative level if a separately conserved baryon fluid is included. Considering the present baryon fraction as a free parameter, we reproduce the observed abundance of the order of 5% independently of the dark-matter abundance which is of the order of 32% for this model. Generally, the concordance between background and perturbation dynamics is improved if baryons are explicitly taken into account.
Linear programming model for optimum resource allocation in rural systems
Devadas, V. [Indian Inst. of Tech., Kharagpur (India)
1997-07-01
The article presents a model for optimum resource allocation in a rural system. Making use of linear programming, the objective function of the linear programming model is to maximize the revenue of the rural system, and optimum resource allocation is made subject to a number of energy- and nonenergy-related constraints relevant to the rural system. The model also quantifies the major yields as well as the by-products of different sectors of the rural economic system.
Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
Harry Lehmann; Per Osland; Tai Tsun Wu
2000-06-19
When the electron density is a linear function of distance, it is known that the MSW equations for two neutrino species can be solved in terms of known functions. It is shown here that more generally, for any number of neutrino species, these MSW equations can be solved exactly in terms of single integrals. While these integrals cannot be expressed in terms of known functions, some of their simple properties are obtained. Application to the solar neutrino problem is briefly discussed.
Double beta decay: experiments and theory review
A. Nucciotti
2007-07-28
Neutrinoless double beta decay is one of the most powerful tools to set the neutrino mass absolute scale and establish whether the neutrino is a Majorana particle. After a summary of the neutrinoless double beta decay phenomenology, the present status of the experimental search for this rare decay is reported and the prospects for next generation experiments are reviewed.
Imperfect World of $??$-decay Nuclear Data Sets?
B. Pritychenko
2015-03-11
The precision of double-beta ($\\beta\\beta$) decay experimental half-lives and their uncertainties is reevaluated. A complementary analysis of the decay uncertainties indicates deficiencies due to small size of statistical samples, and incomplete collection of experimental information. Further experimental and theoretical efforts would lead toward more precise values of $\\beta\\beta$-decay half-lives and nuclear matrix elements.
Generalized linear Boltzmann equations for particle transport in polycrystals
Jens Marklof; Andreas Strömbergsson
2015-02-13
The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neutron transport, radiative transfer, semiconductors and ocean wave scattering. Recent research shows that the equation fails in highly-correlated media, where the distribution of free path lengths is non-exponential. We investigate this phenomenon in the case of polycrystals whose typical grain size is comparable to the mean free path length. Our principal result is a new generalized linear Boltzmann equation that captures the long-range memory effects in this setting. A key feature is that the distribution of free path lengths has an exponential decay rate, as opposed to a power-law distribution observed in a single crystal.
Recent developments in the theory of double beta decay
Iachello, F.; Kotila, J.; Barea, J.
2013-12-30
We report results of a novel calculation of phase space factors for 2??{sup +}?{sup +}, 2??{sup +}EC, 2?ECEC, 0??{sup +}?{sup +}, and 0??{sup +}EC using exact Dirac wave functions, and finite nuclear size and electron screening corrections. We present results of expected half-lives for 0??{sup +}?{sup +} and 0??{sup +}EC decays obtained by combining the calculation of phase space factors with IBM-2 nuclear matrix elements.
The deconfined phase near Tc and its decay into hadrons
A. Dumitru; R. D. Pisarski
2002-08-30
We sketch an effective theory for the deconfined state of QCD near Tc. This relates the behavior of the expectation value of the Polyakov loop, and its two-point functions, to the pressure. Defining the ``mass'' of three and two gluon states from the imaginary and real parts of the Polyakov loop, while this ratio is 3:2 in perturbation theory, at Tc it is 3:1. We also discuss the decay of the deconfined state into hadrons.
Microscopic description of complex nuclear decay: multimodal fission
A. Staszczak; A. Baran; J. Dobaczewski; W. Nazarewicz
2009-06-23
Our understanding of nuclear fission, a fundamental nuclear decay, is still incomplete due to the complexity of the process. In this paper, we describe a study of spontaneous fission using the symmetry-unrestricted nuclear density functional theory. Our results show that the observed bimodal fission can be explained in terms of pathways in multidimensional collective space corresponding to different geometries of fission products. We also predict a new phenomenon of trimodal spontaneous fission for some rutherfordium, seaborgium, and hassium isotopes.
Production and decay of eta-mesic nuclei
A. I. L'vov
1998-09-17
Using the Green function method, binding effects on produced eta-mesons in the two-stage reaction \\gamma + A \\to N + \\eta + (A-1) \\to N + (\\pi N) + (A-2) are studied. The energy spectrum of the correlated pi-N pairs which arise from decays of etas inside the nucleus is strongly affected by an attractive eta-nucleus optical potential. Its resonant behavior gives a clear signal of formating intermediate eta-mesic nuclei.
Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
J. Menéndez; A. Poves; E. Caurier; F. Nowacki
2008-12-19
In this article we analyze the nuclear matrix elements (NME) of the neutrinoless double beta decays of the nuclei 48-Ca, 76-Ge, 82-Se, 124-Sn, 130-Te and 136-Xe in the framework of the Interacting Shell Model (ISM). We study the relative value of the different contributions to them, such as higher order terms in the nuclear current, finite nuclear size effects and short range correlations, as well as their evolution with the maximum seniority permitted in the wave functions. We discuss also the build-up of the NME's as a function of the distance between the decaying neutrons. We calculate the decays to final 0+ first excited states and find that these decays are at least 25 times more supressed with respect to the ground state to ground state transition.
Decay estimates for the one-dimensional wave equation with an inverse power potential
Roland Donninger; Wilhelm Schlag
2010-03-10
We study the wave equation on the real line with a potential that falls off like $|x|^{-\\alpha}$ for $|x| \\to \\infty$ where $2 < \\alpha \\leq 4$. We prove that the solution decays pointwise like $t^{-\\alpha}$ as $t \\to \\infty$ provided that there are no resonances at zero energy and no bound states. As an application we consider the $\\ell=0$ Price Law for Schwarzschild black holes. This paper is part of our investigations into decay of linear waves on a Schwarzschild background.
Micromechanism linear actuator with capillary force sealing
Sniegowski, Jeffry J. (Albuquerque, NM)
1997-01-01
A class of micromachine linear actuators whose function is based on gas driven pistons in which capillary forces are used to seal the gas behind the piston. The capillary forces also increase the amount of force transmitted from the gas pressure to the piston. In a major subclass of such devices, the gas bubble is produced by thermal vaporization of a working fluid. Because of their dependence on capillary forces for sealing, such devices are only practical on the sub-mm size scale, but in that regime they produce very large force times distance (total work) values.
FDCSUSYDecay: A MSSM Decay package
Wei Qi; Jian-Xiong Wang
2006-12-01
FDCSUSYDecay is a FORTRAN program package generated by FDC (Feynman Diagram Calculation) system fully automatically. It is dedicated to calculate at tree-level all the possible 2-body decays of SUSY and Higgs particles in the Minimal Supersymmetric extension of the Standard Model (MSSM). The format of its output files complies with SUSY Les Houches Accord and can be easily imported by other packages.
F. Cardone; R. Mignani; A. Petrucci
2007-10-26
We show that cavitation of a solution of thorium-228 in water induces its transformation at a rate 10000 times faster than the natural radioactive decay would do. This result agrees with the alteration of the secular equilibrium of thorium-234 obtained by a Russian team via explosion of titanium foils in water and solutions. These evidences further support some preliminary clues for the possibility of piezonuclear reactions (namely nuclear reactions induced by pressure waves) obtained in the last ten years.
First-forbidden beta decay of 17N and 17Ne
D. J. Millener
1997-02-07
It is shown that differences, due to charge-dependent effects, in the 17N and 17Ne ground-state wave functions account for the fact that the experimentally measured branch for the beta+ decay of 17Ne to the first excited state of 17F is roughly a factor of two larger than expected on the basis of nuclear matrix elements which reproduce the corresponding beta- branch in the decay of 17N.
A derivation of linearized Griffith energies from nonlinear models
Manuel Friedrich
2015-04-07
We derive Griffith functionals in the framework of linearized elasticity from nonlinear and frame indifferent energies in brittle fracture via Gamma-convergence. The convergence is given in terms of rescaled displacement fields measuring the distance of deformations from piecewise rigid motions. The configurations of the limiting model consist of partitions of the material, corresponding piecewise rigid deformations and displacement fields which are defined separately on each component of the cracked body. Apart from the linearized Griffith energy the limiting functional comprises also the segmentation energy which is necessary to disconnect the parts of the specimen.
Acoustic emission linear pulse holography
Collins, H.D.; Busse, L.J.; Lemon, D.K.
1983-10-25
This device relates to the concept of and means for performing Acoustic Emission Linear Pulse Holography, which combines the advantages of linear holographic imaging and Acoustic Emission into a single non-destructive inspection system. This unique system produces a chronological, linear holographic image of a flaw by utilizing the acoustic energy emitted during crack growth. The innovation is the concept of utilizing the crack-generated acoustic emission energy to generate a chronological series of images of a growing crack by applying linear, pulse holographic processing to the acoustic emission data. The process is implemented by placing on a structure an array of piezoelectric sensors (typically 16 or 32 of them) near the defect location. A reference sensor is placed between the defect and the array.
Sauer-Budge, Alexander M. (Alexander Michael), 1972-
2003-01-01
Uncertainty about the reliability of numerical approximations frequently undermines the utility of field simulations in the engineering design process: simulations are often not trusted because they lack reliable feedback ...
F-type Tests for Linear Models with Functional Responses
Zhang, Jin-Ting
), Ergonomics data (Faraway 1997), and Children growth curves (Zhang, Liang and Xiao 2010) among others-reduction involved. Drawback: may lose of some power 5 #12;' & $ % Introduction Motivating Example: the Ergonomics The Ergonomics Data 0 0.2 0.4 0.6 0.8 1 120 140 160 180 Curve 1 0 0.2 0.4 0.6 0.8 1 120 130 140 150 160 Curve 6 0
Linear domain interactome and biological function of anterior gradient 2
Lawrence, Melanie Laura Alexandra
2013-11-29
The Anterior Gradient 2 (AGR2) protein has been implicated in a variety of biological systems linked to cancer and metastasis, tamoxifen-induced drug resistance, pro-inflammatory diseases like IBD and asthma, and limb ...
Symmetry Classification of quasi-linear PDE's Containing Arbitrary Functions
Dipartimento di Fisica "E.Fermi" dell'Universit`a di Pisa and Istituto Nazionale di Fisica Nucleare, Sez. di Pisa Largo B. Pontecorvo 3, Ed. B-C, I-56127, Pisa, Italy (fax: +39-050-2214887; e-mail: cicogna
Linear programming optimization for aquifer influence functions on microcomputers
Brown, Don L
1989-01-01
al. 's LP matrices were large and sparse (only 34 of the elements were non-zero) and were solved on main frame computers with use of a modified simplex LP method. The purpose of this work is to investigate the use of different LP methods... for increasing operating speed and efficient computer storage with the AIF p~ on micraccmputers. Three LP methods were investigated on microoczrputers using the AIF p~: (I) the simplex method, (2) the revised simplex methcd, and (3) the symmetric msthcd. Each...
NON-LINEAR FUNCTIONAL APPROXIMATION OF HETEROGENEOUS DYNAMICS
in a latent variable model designed to account for both switching multi-scaling regimes and cascade system or resolution levels. We aim to design ad hoc approximation instruments dealing with a particularly complex in improving the volatility feature detection power. Then we show the good performance of greedy approxima
Standard Neutrino Spectrum from B-8 Decay
John N. Bahcall; E. Lisi; D. E. Alburger; L. De Braeckeleer; S. J. Freedman; J. Napolitano
1996-04-19
We present a systematic evaluation of the shape of the neutrino energy spectrum produced by beta-decay of $^8$B. We place special emphasis on determining the range of uncertainties permitted by existing laboratory data and theoretical ingredients (such as forbidden and radiative corrections). We review and compare the available experimental data on the $^8$B$(\\beta^+){}^8$Be$(2\\alpha)$ decay chain. We analyze the theoretical and experimental uncertainties quantitatively. We give a numerical representation of the best-fit (standard-model) neutrino spectrum, as well as two extreme deviations from the standard spectrum that represent the total (experimental and theoretical) effective $\\pm3\\sigma$ deviations. Solar neutrino experiments that are currently being developed will be able to measure the shape of the $^8$B neutrino spectrum above about 5 MeV. An observed distortion of the $^8$B solar neutrino spectrum outside the range given in the present work could be considered as evidence, at an effective significance level greater than three standard deviations, for physics beyond the standard electroweak model. We use the most recent available experimental data on the Gamow--Teller strengths in the $A=37$ system to calculate the $^8$B neutrino absorption cross section on chlorine: $\\sigma_{\\rm Cl}=(1.14\\pm0.11)\\times10^{-42}$~cm$^2$ ($\\pm3\\sigma$ errors). The chlorine cross section is also given as a function of the neutrino energy. The $^8$B neutrino absorption cross section in gallium is $\\sigma_{\\rm Ga}=(2.46^{+2.1}_{-1.1})\\times10^{-42}$ cm$^2$ ($\\pm3\\sigma$ errors).
Linear Fixed-Field Multi-Pass Arcs for Recirculating Linear Accelerators
V.S. Morozov, S.A. Bogacz, Y.R. Roblin, K.B. Beard
2012-06-01
Recirculating Linear Accelerators (RLA's) provide a compact and efficient way of accelerating particle beams to medium and high energies by reusing the same linac for multiple passes. In the conventional scheme, after each pass, the different energy beams coming out of the linac are separated and directed into appropriate arcs for recirculation, with each pass requiring a separate fixed-energy arc. In this paper we present a concept of an RLA return arc based on linear combined-function magnets, in which two and potentially more consecutive passes with very different energies are transported through the same string of magnets. By adjusting the dipole and quadrupole components of the constituting linear combined-function magnets, the arc is designed to be achromatic and to have zero initial and final reference orbit offsets for all transported beam energies. We demonstrate the concept by developing a design for a droplet-shaped return arc for a dog-bone RLA capable of transporting two beam passes with momenta different by a factor of two. We present the results of tracking simulations of the two passes and lay out the path to end-to-end design and simulation of a complete dog-bone RLA.
Non-linear Higgs portal to Dark Matter
I. Brivio; M. B. Gavela; L. Merlo; K. Mimasu; J. M. No; R. del Rey; V. Sanz
2015-11-03
The Higgs portal to scalar Dark Matter is considered in the context of non-linearly realised electroweak symmetry breaking. We determine the dominant interactions of gauge bosons and the physical Higgs particle $h$ to a scalar singlet dark matter candidate. Phenomenological consequences are also studied in detail, including the possibility of distinguishing this scenario from the standard Higgs portal in which the electroweak symmetry breaking is linearly realised. Two features of significant impact are: i) the connection between the electroweak scale $v$ and the Higgs particle departs from the $(v+h)$ functional dependence, as the Higgs field is not necessarily an exact electroweak doublet; ii) the presence of specific couplings that arise at different order in the non-linear and in the linear expansions. These facts deeply affect the dark matter relic abundance, as well as the expected signals in direct and indirect searches and collider phenomenology, where Dark Matter production rates are enhanced with respect to the standard portal.
Rare top quark and Higgs boson decays in alternative left-right symmetric models
Gaitan, R.; Miranda, O.G.; Cabral-Rosetti, L.G.
2005-08-01
Top quark and Higgs boson decays induced by flavor-changing neutral currents (FCNC) are very much suppressed in the standard model. Their detection in colliders such as the Large Hadron Collider, Next Linear Collider, or Tevatron would be a signal of new physics. We evaluate the FCNC decays t{yields}H{sup 0}+c, t{yields}Z+c, and H{sup 0}{yields}t+c in the context of alternative left-right symmetric models with extra isosinglet heavy fermions; in this case, FCNC decays occur at tree level, and they are suppressed only by the mixing between ordinary top and charm quarks, which is poorly constrained by current experimental values. This provides the possibility for future colliders either to detect new physics or to improve present bounds on the parameters of the model.
Myatt, J. F.; Short, R. W.; Maximov, A. V. [Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, New York 14623-1299 (United States)] [Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, New York 14623-1299 (United States); Vu, H. X. [Electrical and Computer Engineering Department, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0407 (United States)] [Electrical and Computer Engineering Department, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0407 (United States); DuBois, D. F.; Russell, D. A. [Lodestar Research Corporation, 2400 Central Avenue, P-5, Boulder, Colorado 80301 (United States)] [Lodestar Research Corporation, 2400 Central Avenue, P-5, Boulder, Colorado 80301 (United States); Zhang, J. [Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, New York 14623-1299 (United States) [Laboratory for Laser Energetics, University of Rochester, 250 East River Road, Rochester, New York 14623-1299 (United States); Department of Mechanical Engineering, University of Rochester, Rochester, New York 14627 (United States)
2013-05-15
The extended Zakharov model of the two-plasmon decay instability in an inhomogeneous plasma [D. F. DuBois et al., Phys. Rev. Lett. 74, 3983 (1995); D. A. Russell and D. F. DuBois, Phys. Rev. Lett. 86, 428 (2001)] is further generalized to include the evolution of the electron distribution function in the quasi-linear approximation [cf., e.g., K. Y. Sanbonmatsu et al. Phys. Plasmas 7, 2824 (2000); D. A. Russell et al., paper presented at the Workshop on SRS/SBS Saturation, Wente Vineyards, Livermore, CA, 2–5 April 2002]. This makes it possible to investigate anomalous absorption of laser light and hot electron production due to the two-plasmon decay instability of multiple overlapping electromagnetic waves. Scalings of hot-electron production in the (stationary) nonlinearly saturated regime relevant to recent experiments [B. Yaakobi et al., Phys. Plasmas 19, 012704 (2012); D. H. Froula et al., Phys. Rev. Lett. 108, 165003 (2012)] have been obtained. They indicate a sensitivity to ion-acoustic wave (IAW) damping and to the collisional absorption of Langmuir waves. Such a sensitivity might be exploited in inertial confinement fusion target design by the use of mid-Z ablators.
Decays of Fourth Generation Bound States
V. F. Dmitriev; V. V. Flambaum
2012-08-28
We consider the decay modes of the heavy $q^\\prime\\bar{q^\\prime}$ bound states originating from Higgs boson exchange between quark -- anti-quark pair. In case of a small coupling between the fourth and lower generation the main decay mode is $q^\\prime\\bar{q^\\prime}$ annihilation. We show that for a vector state the dominant decay modes are Higgs-gamma and Higgs-Z decays, while for a pseudoscalar state the strong two-gluon decay mode dominates. The bound states are very narrow. The ratio of the total width to the binding energy is less than 1% if we are not extremely close to the critical quark mass where the binding energy is very small. The discussed decay modes exist for any fermion-antifermion bound states including heavy leptons and heavy neutrinos if their masses are high enough to form a bound state due to attractive Higgs boson exchange potential.
Power Spectrum Analyses of Nuclear Decay Rates
Javorsek, D; Lasenby, R N; Lasenby, A N; Buncher, J B; Fischbach, E; Gruenwald, J T; Hoft, A W; Horan, T J; Jenkins, J H; Kerford, J L; Lee, R H; Longman, A; Mattes, J J; Morreale, B L; Morris, D B; Mudry, R N; Newport, J R; O'Keefe, D; Petrelli, M A; Silver, M A; Stewart, C A; Terry, B; 10.1016/j.astropartphys.2010.06.011
2010-01-01
We provide the results from a spectral analysis of nuclear decay data displaying annually varying periodic fluctuations. The analyzed data were obtained from three distinct data sets: 32Si and 36Cl decays reported by an experiment performed at the Brookhaven National Laboratory (BNL), 56Mn decay reported by the Children's Nutrition Research Center (CNRC), but also performed at BNL, and 226Ra decay reported by an experiment performed at the Physikalisch-Technische Bundesanstalt (PTB) in Germany. All three data sets exhibit the same primary frequency mode consisting of an annual period. Additional spectral comparisons of the data to local ambient temperature, atmospheric pressure, relative humidity, Earth-Sun distance, and their reciprocals were performed. No common phases were found between the factors investigated and those exhibited by the nuclear decay data. This suggests that either a combination of factors was responsible, or that, if it was a single factor, its effects on the decay rate experiments are n...
Electroweak penguin decays at LHCb
Thomas Blake
2011-09-29
Promising ways to search for New Physics effects in radiative penguin decays are in the angular analysis of $B_{d} \\rightarrow K^{*0} \\mu^{+}\\mu^{-}$, in the measurement of direct CP violation in $\\B_{d} \\rightarrow K^{*0}\\mu^{+}\\mu^{-}$ and a time dependent analysis of $B_{s} \\rightarrow \\phi \\gamma$. All of these studies are being pursued at LHCb. First results will be shown from the 2010 and early 2011 data, with particular emphasis on $B_{d} \\rightarrow K^{*0} \\mu^{+}\\mu^{-}$.
Neutrinoless double beta decay experiments
K. Zuber
2006-10-04
The study of neutrinoless double beta decay is of outmost importance for neutrino physics. It is considered to be the gold plated channel to probe the fundamental character of neutrinos and to determine the neutrino mass. From the experimental point about nine different isotopes are explored for the search. After a general introduction follows a short discussion on nuclear matrix element calculations and supportive measurements. The current experimental status of double beta searches is presented followed by a short discussion of the ideas and proposals for large scale experiments.
Neutrinoless Double Beta Decay and CP Violation
Patrick J. O'Donnell; Utpal Sarkar
1993-05-27
We study the relation between the Majorana neutrino mass matrices and the neutrinoless double beta decay when CP is not conserved. We give an explicit form of the decay rate in terms of a rephasing invariant quantity and demonstrate that in the presence of CP violation it is impossible to have vanishing neutrinoless double beta decay in the case of two neutrino generations (or when the third generation leptons do not mix with other leptons and hence decouple).
Novel Nuclear Structure Aspects of the Neutrinoless Double Beta Decay
J. Menendez; A. Poves; E. Caurier; F. Nowacki
2010-07-28
We explore the influence of the deformation on the nuclear matrix elements of the neutrinoless double beta decay (NME), concluding that the difference in deformation -or more generally in the amount of quadrupole correlations- between parent and grand daughter nuclei quenches strongly the decay. We correlate these differences with the seniority structure of the nuclear wave functions. In this context, we examine the present discrepancies between the NME's obtained in the framework of the Interacting Shell Model and the Quasiparticle RPA. We surmise that part of the discrepancy can be due to the limitations of the spherical QRPA in treating nuclei which have strong quadrupole correlations. We surmise that the NME's in a basis of generalized seniority are approximately model independent, i. e. they are "universal".
Quantum mechanical calculation of Rydberg-Rydberg Auger decay rates
Kiffner, Martin; Li, Wenhui; Jaksch, Dieter
2015-01-01
We present quantum mechanical calculations of the Auger decay rate $\\Gamma_A$ of two Rubidium Rydberg atoms with weakly overlapping electron clouds. The two-electron wavefunction is modelled by a single Slater determinant of $nd$ Rydberg orbitals with principal quantum number $n\\le35$. The dependence of $\\Gamma_A$ on the atom-atom separation $R$ is well described by a power law $\\Gamma_A \\propto R^{\\alpha}$ and we calculate the exponents $\\alpha$ for various initial states. For atomic separations equal to the size of the Rydberg electron wave function $R_n$ we find that $\\Gamma_A \\propto n^{-5}$. We discuss the importance of Auger decay compared to other contributions to the electron dynamics in the two Rydberg atom system.
International Linear Collider Technical Design Report - Volume...
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Technical Report: International Linear Collider Technical Design Report - Volume 2: Physics Citation Details In-Document Search Title: International Linear Collider Technical...
Math 511 Linear Algebra with Applications
Math 511 Linear Algebra with Applications. Fall 2005. This is a Linear Algebra course primarily for graduate engineering students. Enclosed is a sample outline
Measuring anomalous couplings in Hâ†’WW* decays at the International Linear
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantity of NaturalDukeWakefieldSulfate Reducing(JournalspectroscopyReport) | SciTechelement method in theSciTech
Random wave functions and percolation
E. Bogomolny; C. Schmit
2007-08-31
Recently it was conjectured that nodal domains of random wave functions are adequately described by critical percolation theory. In this paper we strengthen this conjecture in two respects. First, we show that, though wave function correlations decay slowly, a careful use of Harris' criterion confirms that these correlations are unessential and nodal domains of random wave functions belong to the same universality class as non critical percolation. Second, we argue that level domains of random wave functions are described by the non-critical percolation model.
The Decay of the Neutron or Beta Decay, the Big Bang, and the...
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Decay of the Neutron or Beta Decay, the Big Bang, and the Left-Handed Universe Apr 03 2014 01:00 PM - 02:30 PM Geoffrey L. Greene Physics Division, ORNL Research Accelerator...
Displacement Echoes: Classical Decay and Quantum Freeze
Cyril Petitjean; Diego V. Bevilaqua; Eric J. Heller; Philippe Jacquod
2007-04-23
Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, following a short-time Lyapunov decay, the decay freezes well above the ergodic value because of quantum effects. Our analytical results are corroborated by numerical simulations.
Neutrinoless Double Beta Decay: Present and Future
Oliviero Cremonesi
2002-10-04
Present status, and future plans for Double Beta Decay searches are reviewed. Given the recent observations of neutrino oscillations, a possibility to observe $\\beta\\beta(0\
Tensor mesons produced in tau lepton decays
Lopez Castro, G.; Munoz, J. H.
2011-05-01
Light tensor mesons (T=a{sub 2}, f{sub 2} and K{sub 2}*) can be produced in decays of {tau} leptons. In this paper we compute the branching ratios of {tau}{yields}T{pi}{nu} decays by assuming the dominance of intermediate virtual states to model the form factors involved in the relevant hadronic matrix elements. The exclusive f{sub 2}(1270){pi}{sup -} decay mode turns out to have the largest branching ratio, of O(10{sup -4}). Our results indicate that the contribution of tensor meson intermediate states to the three-pseudoscalar channels of {tau} decays are rather small.
Review of double beta decay experiments
A. S. Barabash
2014-03-12
The brief review of current experiments on search and studying of double beta decay processes is done. Best present limits on $\\langle m_{\
Neutrinoless Double Beta Decay and Neutrino Masses
Michael Duerr
2012-06-04
Neutrinoless double beta decay is a promising test for lepton number violating physics beyond the standard model of particle physics. There is a deep connection between this decay and the phenomenon of neutrino masses. In particular, we will discuss the relation between neutrinoless double beta decay and Majorana neutrino masses provided by the so-called Schechter--Valle theorem in a quantitative way. Furthermore, we will present an experimental cross check to discriminate neutrinoless double beta decay from unknown nuclear background using only one isotope, i.e., within one experiment.
Displacement Echoes: Classical Decay and Quantum Freeze
Petitjean, Cyril [Departement de Physique Theorique, Universite de Geneve, CH-1211 Geneva 4 (Switzerland); Bevilaqua, Diego V. [Department of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States); Heller, Eric J. [Department of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States); Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138 (United States); Jacquod, Philippe [Physics Department, University of Arizona, Tucson, Arizona 85721 (United States)
2007-04-20
Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase-space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, following a short-time Lyapunov decay, the decay freezes well above the ergodic value because of quantum effects. Our analytical results are corroborated by numerical simulations.
Nuclear beta-decay measurements and |Vud|
Dan Melconian
2011-08-11
Some recent work in nuclear beta decay related to the value of |Vud| is described along with some near-term goals for future measurements.
Direct CP violation in B decays
M. Kreps
2008-07-01
We review recent experimental results on direct CP violation. The hot topic is a measurement in charmless two-body decays of B0, B+. In connection to this the first analogous measurements in Bs0 and Lambda_b0 decays are now available. Furthermore first evidence for direct CP violation in B+ decays is obtained from Dalitz plot analyzes of the K+pi-pi+ final state at B-factories. The last group of discussed results probes the b -> c\\bar{c}d transition in attempt to resolve the discrepancy between Belle and BABAR experiments in CP violation in the B0 -> D+D- decays.
Tunneling control using classical non-linear oscillator
Kar, Susmita; Bhattacharyya, S. P.
2014-04-24
A quantum particle is placed in symmetric double well potential which is coupled to a classical non-linear oscillator via a coupling function. With different spatial symmetry of the coupling and under various controlling fashions, the tunneling of the quantum particle can be enhanced or suppressed, or totally destroyed.
A PIECEWISE LINEAR RECURRENT NEURAL NETWORK STRUCTURE AND ITS DYNAMICS
Adali, Tulay
of analysis and development tools that are linear, they are also good approximators of functions that are highly nonlinear. They have been effectively used in control engineering, nonlinear circuit analysis [4- troduced for nonlinear circuit analysis [3]. CPL structures provide a desirable compromise between
Termination of Narrowing in Left-Linear Constructor Systems
Vidal, Germán
[24], partial evaluation [1, 48], refining methods for proving the termination of rewriting [8, 9Termination of Narrowing in Left-Linear Constructor Systems Germ´an Vidal Technical University.g., it forms the basis of functional logic languages). Surprisingly, the termination of narrowing has been
Highly linear low noise amplifier
Ganesan, Sivakumar
2007-09-17
VgVgVgi (4) Where gm1 is its transconductance, gm2 represents its second order non-linearity obtained by the second order derivative of FET transfer characteristics (Id-Vgs) and gm3 is its third order non-linearity obtained by the third order... for the above mentioned currents are given below. 3 3213 2 21211 3 3 3 3 2 21 *),,(*),(*)( xxxBAout BbB AaAaAaA VsssCVssCVsCiii Vgi VgVgVgi ++=+= = ++= (14) Where g1a represents the transconductance of the main amplifier and g2a and g3a represent the second...
I: Maxwell's equations with Ohm's law. II: Polynomial energy decay. Polynomial decay rate
Phung, Kim-dang.- Le Laboratoire de MathÃ©matiques
I: Maxwell's equations with Ohm's law. II: Polynomial energy decay. Polynomial decay rate: Maxwell's equations with Ohm's law. II: Polynomial energy decay. Maxwell's equation with Ohm's law Let@ = 0 2 L1 ( ) and 0 take "o = o = 1 #12;I: Maxwell's equations with Ohm's law. II: Polynomial energy
Polarization Observables From The Photoproduction Of Omega-Mesons Using Linearly Polarized Photons
Martinez, Danny [Idaho State University, Pocatello, ID (United States); Cole, Philip L. [Idaho State University, Pocatello, ID (United States)
2014-01-01
We report on the extraction of Polarization Observables Spin Density Matrix Elements (SDMEs), and Beam Asymmetry Sigma for omega meson photoproduction using a beam of linearly polarized photons in the photon energy region of Egamma = 1.3 to 1.7 GeV, by means of the angular distributions of the daughter pions from omega decay. These preliminary results are from the g8b dataset, which were collected with the CLAS detector in Hall B of Jefferson Lab.
Linear regression issues in astronomy
Babu, G. Jogesh
Linear regression issues in astronomy Eric Feigelson Summer School in astrostatistics References regression Seeking the intrinsic relationship between two properties without specifying `dependent' and `independent' variables OLS(Y|X) OLS(X|Y) (inverse regr) Four symmetrical regression lines #12;Analytical
Linear electric field mass spectrometry
McComas, D.J.; Nordholt, J.E.
1992-12-01
A mass spectrometer and methods for mass spectrometry are described. The apparatus is compact and of low weight and has a low power requirement, making it suitable for use on a space satellite and as a portable detector for the presence of substances. High mass resolution measurements are made by timing ions moving through a gridless cylindrically symmetric linear electric field. 8 figs.
Matrix polynomials and structured linearizations.
Bigelow, Stephen
Matrix polynomials and structured linearizations. Advisor: Maria Isabel Bueno Cachadina Let P() = Akk + Ak-1k-1 + · · · + A0 (1) be a matrix polynomial of degree k 2, where the coefficients Ai are n × n matrices with entries in a field F. A matrix pencil L() = L1 - L0, with L1, L0 Mkn
Saturation and linear transport equation
Krzysztof Kutak
2009-04-29
We show that the GBW saturation model provides an exact solution to the one dimensional linear transport equation. We also show that it is motivated by the BK equation considered in the saturated regime when the diffusion and the splitting term in the diffusive approximation are balanced by the nonlinear term.
The equations Linear plate equation
Grunau, Hans-Christoph
The equations Linear plate equation Paneitz equation Willmore equation, one dimensional Some fourth order differential equations related to differential geometry Hans-Christoph Grunau OttovonGuerickeUniversit¨at Magdeburg Nice, January 26, 2006 Hans-Christoph Grunau Differential equations of fourth order #12;The
A Study of the Generalized Input-to-State L2-Gain of Discrete-Time Switched Linear Systems
Shen, Jinglai
of switched linear systems under average dwell time constraints were given in [8]. The design of switching is proposed to study the stability of autonomous switched linear systems. These functions are power seriesA Study of the Generalized Input-to-State L2-Gain of Discrete-Time Switched Linear Systems Vamsi
Why quantum dynamics is linear
Thomas F. Jordan
2007-02-16
Quantum dynamics is linear. How do we know? From theory or experiment? The history of this question is reviewed. Nonlinear generalizations of quantum mechanics have been proposed. They predict small but clear nonlinear effects, which very accurate experiments have not seen. Is there a reason in principle why nonlinearity is not found? Is it impossible? Does quantum dynamics have to be linear? Attempts to prove this have not been decisive, because either their assumptions are not compelling or their arguments are not conclusive. The question has been left unsettled. There is a simple answer, based on a simple assumption. It was found in two steps separated by 44 years. They are steps back to simpler and more compelling assumptions. A proof of the assumptions of the Wigner-Bargmann proof has been known since 1962. It assumes that the maps of density matrices in time are linear. For this step, it is also assumed that density matrices are mapped one-to-one onto density matrices. An alternative is to assume that pure states are mapped one-to-one onto pure states and that entropy does not decrease. In a step taken in 2006, it is proved that the maps of density matrices in time are linear. It is assumed, as in the earlier step, that at each time the physical quantities and states are described by the usual linear structures of quantum mechanics, so the question is only about how things change in time. Beyond that, the proof assumes only that the dynamics does not depend on anything outside the system, but must allow the system to be described as part of a larger system.
Fast exact linear algebra, LinBox
Pernet, Clément
Fast exact linear algebra, LinBox Clément Pernet Introduction LinBox: an overview Principles-place eliminations Fast matrix multiplication Linear algebra over big integers Fast exact linear algebra: LinBox Clément PERNET SAGE Days 6, November 11, 2007 #12;Fast exact linear algebra, LinBox Clément Pernet
Termination of Linear Programs Ashish Tiwari
Tiwari, Ashish
Termination of Linear Programs Ashish Tiwari SRI International, 333 Ravenswood Ave, Menlo Park, CA, U.S.A tiwari@csl.sri.com Abstract. We show that termination of a class of linear loop programs is decidable. Linear loop programs are discrete-time linear systems with a loop condition governing termination
Termination of Linear Programs Ashish Tiwari #
Tiwari, Ashish
Termination of Linear Programs Ashish Tiwari # SRI International, 333 Ravenswood Ave, Menlo Park, CA, U.S.A tiwari@csl.sri.com Abstract. We show that termination of a class of linear loop programs is decidable. Linear loop programs are discreteÂtime linear systems with a loop condition governing termination
Sikes, Derek S.
: This is a first course in linear algebra that starts with the basic objects vectors, matrices, systems of linear equations, and vector spaces and follows with the elements of matrix algebra and solving systems roughly to chapters 1-6 in the textbook. Linear algebra is concerned with the study of systems of linear
J. D. Parker; M. J. Athanas; P. D. Barnes; S. Bart; B. Bassalleck; R. Chrien; G. Diebold; G. B. Franklin; K. Johnston; P. Pile; B. Quinn; F. Rozon; R. Sawafta; R. A. Schumacher; R. Stearns; I. Sukaton; R. Sutter; J. J. Szymanski; V. J. Zeps
2007-09-13
We measured the lifetime and the mesonic and non-mesonic decay rates of the 4He-Lambda hypernucleus. The hypernuclei were created using a 750 MeV/c momentum K- beam on a liquid 4He target by the reaction 4He(K-,pi-)4He-Lambda. The 4He-Lambda lifetime was directly measured using protons from Lambda p -> n p non-mesonic decay (also referred to as proton-stimulated decay) and was found to have a value of tau = 245 +/- 24 ps. The mesonic decay rates were determined from the observed numbers of pi-'s and pi0's as Gamma_pi-/Gamma_tot = 0.270 +/- 0.024 and Gamma_pi0/Gamma_tot = 0.564 +/- 0.036, respectively, and the values of the proton- and neutron-stimulated decay rates were extracted as Gamma_p/Gamma_tot = 0.169 +/- 0.019 and Gamma_n/Gamma_tot <= 0.032 (95% CL), respectively. The effects of final-state interactions and possible 3-body Lambda N N decay contributions were studied in the context of a simple model of nucleon-stimulated decay. Nucleon-nucleon coincidence events were observed and were used in the determination of the non-mesonic branching fractions. The implications of the results of this analysis were considered for the empirical Delta I = 1/2 rule and the decay rates of the 4H-Lambda hypernucleus.
Spectroscopy and decays of charm and bottom
Butler, J.N.
1997-10-01
After a brief review of the quark model, we discuss our present knowledge of the spectroscopy of charm and bottom mesons and baryons. We go on to review the lifetimes, semileptonic, and purely leptonic decays of these particles. We conclude with a brief discussion B and D mixing and rare decays.
Neutrinoless double beta decay and neutrino physics
Werner Rodejohann
2012-08-20
The connection of neutrino physics with neutrinoless double beta decay is reviewed. After presenting the current status of the PMNS matrix and the theoretical background of neutrino mass and lepton mixing, we will summarize the various implications of neutrino physics for double beta decay. The influence of light sterile neutrinos and other exotic modifications of the three neutrino picture is also discussed.
Higgs boson decay to Ali Abbasabadi
Repko, Wayne
Higgs boson decay to #22;#22;#22; Ali Abbasabadi Department of Physical Sciences, Ferris State, East Lansing, Michigan 48824, USA (April 17, 2000) The Higgs boson decay, H ! #22;#22;#22; , is studied in the Standard Model at the tree and one-loop levels. It is shown that for Higgs boson masses above 110 Ge
Testing the Standard Model with Kaon Decays
Matthew Moulson
2012-09-15
During the last few years, new experimental and theoretical results have allowed ever more stringent tests of the Standard Model to be performed using kaon decays. This overview of recent progress includes an updated evaluation of the CKM matrix element Vus. Tests of CKM unitarity and gauge universality and lepton universality tests with Kl2 and Kl3 decays are discussed.
Predicting neutrinoless double beta decay
Hirsch, M.; Villanova del Moral, A.; Valle, J.W.F. [AHEP Group, Instituto de Fisica Corpuscular - C.S.I.C./Universitat de Valencia, Edificio Institutos de Paterna, Apt 22085, E-46071 Valencia (Spain); Ma, Ernest [Physics Department, University of California, Riverside, California 92521 (United States); Institute for Particle Physics Phenomenology, University of Durham, Durham, DH1 3LE (United Kingdom)
2005-11-01
We give predictions for the neutrinoless double beta decay rate in a simple variant of the A{sub 4} family symmetry model. We show that there is a lower bound for the {beta}{beta}{sub 0{nu}} amplitude even in the case of normal hierarchical neutrino masses, corresponding to an effective mass parameter vertical bar m{sub ee} vertical bar {>=}0.17{radical}({delta}m{sub ATM}{sup 2}). This result holds both for the CP conserving and CP violating cases. In the latter case we show explicitly that the lower bound on vertical bar m{sub ee} vertical bar is sensitive to the value of the Majorana phase. We conclude therefore that in our scheme, {beta}{beta}{sub 0{nu}} may be accessible to the next generation of high sensitivity experiments.
Strong effects in weak nonleptonic decays
Wise, M.B.
1980-04-01
In this report the weak nonleptonic decays of kaons and hyperons are examined with the hope of gaining insight into a recently proposed mechanism for the ..delta..I = 1/2 rule. The effective Hamiltonian for ..delta..S = 1 weak nonleptonic decays and that for K/sup 0/-anti K/sup 0/ mixing are calculated in the six-quark model using the leading logarithmic approximation. These are used to examine the CP violation parameters of the kaon system. It is found that if Penguin-type diagrams make important contributions to K ..-->.. ..pi pi.. decay amplitudes then upcoming experiments may be able to distinguish the six-quark model for CP violation from the superweak model. The weak radiative decays of hyperons are discussed with an emphasis on what they can teach us about hyperon nonleptonic decays and the ..delta..I = 1/2 rule.
Set Linear Algebra and Set Fuzzy Linear Algebra
W. B. Vasantha Kandasamy; Florentin Smarandache; K. Ilanthenral
2008-06-17
In this book, the authors define the new notion of set vector spaces which is the most generalized form of vector spaces. Set vector spaces make use of the least number of algebraic operations, therefore, even a non-mathematician is comfortable working with it. It is with the passage of time, that we can think of set linear algebras as a paradigm shift from linear algebras. Here, the authors have also given the fuzzy parallels of these new classes of set linear algebras. This book is divided into seven chapters. The first chapter briefly recalls some of the basic concepts in order to make this book self-contained. Chapter two introduces the notion of set vector spaces which is the most generalized concept of vector spaces. Set vector spaces lends itself to define new classes of vector spaces like semigroup vector spaces and group vector spaces. These are also generalization of vector spaces. The fuzzy analogue of these concepts are given in Chapter three. In Chapter four, set vector spaces are generalized to biset bivector spaces and not set vector spaces. This is done taking into account the advanced information technology age in which we live. As mathematicians, we have to realize that our computer-dominated world needs special types of sets and algebraic structures. Set n-vector spaces and their generalizations are carried out in Chapter five. Fuzzy n-set vector spaces are introduced in the sixth chapter. The seventh chapter suggests more than three hundred problems.
System identification for passive linear quantum systems
Madalin Guta; Naoki Yamamoto
2014-08-27
System identification is a key enabling component for the implementation of quantum technologies, including quantum control. In this paper, we consider the class of passive linear input-output systems, and investigate several basic questions: (1) which parameters can be identified? (2) Given sufficient input-output data, how do we reconstruct system parameters? (3) How can we optimize the estimation precision by preparing appropriate input states and performing measurements on the output? We show that minimal systems can be identified up to a unitary transformation on the modes, and systems satisfying a Hamiltonian connectivity condition called "infecting" are completely identifiable. We propose a frequency domain design based on a Fisher information criterion, for optimizing the estimation precision for coherent input state. As a consequence of the unitarity of the transfer function, we show that the Heisenberg limit with respect to the input energy can be achieved using non-classical input states.
Lepton flavor violation in Higgs boson decays under the rare...
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Lepton flavor violation in Higgs boson decays under the rare tau decay results Citation Details In-Document Search Title: Lepton flavor violation in Higgs boson decays under the...
Neutrinoless Double Beta Decay in Light of SNO Salt Data
Murayama, Hitoshi
2009-01-01
Limits From Neutrinoless Double-Beta Decay (Rev. ),” incan also cause neutrinoless double-beta decay (see e.g. , [LBNL-53996 Neutrinoless Double Beta Decay in Light of SNO
Green's Functions in Perturbative Quantum Gravity
Sudhaker Upadhyay; Bhabani Prasad Mandal
2015-04-03
We show that the Green's functions in non-linear gauge in the theory of perturbative quantum gravity is expressed as a series in terms of those in linear gauges. This formulation is also holds for operator Green's functions. We further derive the explicit relation between the Green's functions in the theory of perturbative quantum gravity in a pair of arbitary gauges. This process involves some sort of modified FFBRST transformations which is derivable from infinitesimal field-dependent BRST transformations.
Invisible Higgs Decay at the LHeC
Yi-Lei Tang; Chen Zhang; Shou-hua Zhu
2015-08-25
The possibility that the 125 GeV Higgs boson may decay into invisible non-standard-model (non-SM) particles is theoretically and phenomenologically intriguing. In this letter we investigate the sensitivity of the Large Hadron Electron Collider (LHeC) to an invisibly decaying Higgs, in its proposed high luminosity running mode. We focus on the neutral current Higgs production channel which offers more kinematical handles than its charged current counterpart. The signal contains one electron, one jet and large missing energy. With a cut-based parton level analysis, we estimate that if the $hZZ$ coupling is at its standard model (SM) value, then assuming an integrated luminosity of $1\\,\\mbox{ab}^{-1}$ the LHeC with the proposed 60 GeV electron beam (with $-0.9$ polarization) and 7 TeV proton beam is capable of probing $\\mathrm{Br}(h\\rightarrow E\\!\\!\\!\\!/_T)=6\\%$ at $2\\sigma$ level. Good lepton veto performance (especially hadronic $\\tau$ veto) in the forward region is crucial to the suppression of the dominant $Wje$ background. We also explicitly point out the important role that may be played by the LHeC in probing a wide class of exotic Higgs decay processes and emphasize the general function of lepton-hadron colliders in precision study of new resonances after their discovery in hadron-hadron collisions.
Gamma-ray decay of levels in /sup 53/Cr
Dickens, J.K.; Larson, D.C.
1987-11-01
Gamma-ray decay of levels in the stable isotope /sup 53/Cr has been studied using /sup 53/Cr(n,n'..gamma..) reactions for incident neutron energies between threshold and 10 MeV. Of the 65 gamma rays or gamma-ray groups observed for neutron interactions with /sup 53/Cr, 50 have been placed or tentatively placed among 34 levels in /sup 53/Cr up to an excitation energy of 4.36 MeV. Deduced branching ratios are in reasonable agreement with previous measurements except for decay of the E/sub x/ = 1537-keV level. For the decay of the E/sub x/ = 1537-keV level we are unable to explain variations in the branching ratios of the transition gamma rays as a function of incident neutron energy within the framework of the presently known level structure of /sup 53/Cr and suggest the possibility of a second energy level at E/sub x/ = 1537 keV. 59 refs., 13 figs., 2 tabs.
THE DECAYING LONG-PERIOD OSCILLATION OF A STELLAR MEGAFLARE
Anfinogentov, S.; Nakariakov, V. M.; Mathioudakis, M.; Van Doorsselaere, T.; Kowalski, A. F.
2013-08-20
We analyze and interpret the oscillatory signal in the decay phase of the U-band light curve of a stellar megaflare observed on 2009 January 16 on the dM4.5e star YZ CMi. The oscillation is well approximated by an exponentially decaying harmonic function. The period of the oscillation is found to be 32 minutes, the decay time about 46 minutes, and the relative amplitude 15%. As this observational signature is typical of the longitudinal oscillations observed in solar flares at extreme ultraviolet and radio wavelengths, associated with standing slow magnetoacoustic waves, we suggest that this megaflare may be of a similar nature. In this scenario, macroscopic variations of the plasma parameters in the oscillations modulate the ejection of non-thermal electrons. The phase speed of the longitudinal (slow magnetoacoustic) waves in the flaring loop or arcade, the tube speed, of about 230 km s{sup -1} would require a loop length of about 200 Mm. Other mechanisms, such as standing kink oscillations, are also considered.
Higgs Decays as a Window into the Dark Sector
Hooman Davoudiasl; Hye-Sung Lee; Ian Lewis; William J. Marciano
2013-07-12
A light vector boson, Z_d, associated with a "dark sector" U(1)_d gauge group has been introduced to explain certain astrophysical observations as well as low energy laboratory anomalies. In such models, the Higgs boson may decay into X+Z_d, where X=Z, Z_d or \\gamma. Here, we provide estimates of those decay rates as functions of the Z_d coupling through either mass-mixing (e.g. via an enlarged Higgs mechanism) or through heavy new fermion loops and examine the implied LHC phenomenology. Our studies focus on the higher m_{Z_d} case, > several GeV, where the rates are potentially measurable at the LHC, for interesting regions of parameter spaces, at a level complementary to low energy experimental searches for the Z_d. We also show how measurement of the Z_d polarization (longitudinal versus transverse) can be used to distinguish the physics underlying these rare decays.
Linear accelerator for radioisotope production
Hansborough, L.D.; Hamm, R.W.; Stovall, J.E.
1982-02-01
A 200- to 500-..mu..A source of 70- to 90-MeV protons would be a valuable asset to the nuclear medicine program. A linear accelerator (linac) can achieve this performance, and it can be extended to even higher energies and currents. Variable energy and current options are available. A 70-MeV linac is described, based on recent innovations in linear accelerator technology; it would be 27.3 m long and cost approx. $6 million. By operating the radio-frequency (rf) power system at a level necessary to produce a 500-..mu..A beam current, the cost of power deposited in the radioisotope-production target is comparable with existing cyclotrons. If the rf-power system is operated at full power, the same accelerator is capable of producing an 1140-..mu..A beam, and the cost per beam watt on the target is less than half that of comparable cyclotrons.
Efficient double beta decay nuclear matrix elements computations
Neacsu, Andrei [Horia Hulubei Foundation (FHH) 407 Atomistilor, Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH) 30 Reactorului, Magurele-Bucharest 077125 (Romania)
2012-11-20
We have developed a shell model code for the accurate computation of the two-body matrix elements of the transition operators involved in the neutrinoless double beta decay. This code features coupled cluster method short-range correlations with Jastrow-like functions, finite nucleon size effect and higher order nucleon current corrections. We present the results obtained for {sup 48}Ca and {sup 82}Se, then we compare them with other results in the literature. In the case of {sup 48}Ca, we also study the contributions of the included effects and find good agreement with other published results.
Low-energy constants from ALEPH hadronic tau decay data
Boito, Diogo; Golterman, Maarten; Hudspith, Renwick; Lewis, Randy; Maltman, Kim; Peris, Santiago
2015-01-01
We determined the NLO chiral low-energy constant $L_{10}$, and various combinations of NNLO chiral low-energy constants employing recently revised ALEPH results for the non-strange vector (V) and axial-vector (A) hadronic tau decay distributions and recently updated RBC/UKQCD lattice data for the non-strange V-A two-point function. In this talk, we explain the ingredients of this determination. Our errors are at or below the level expected for contributions of yet higher order in the chiral expansion, suggesting that our results exhaust the possibilities of what can be meaningfully achieved in an NNLO analysis.
Cast dielectric composite linear accelerator
Sanders, David M. (Livermore, CA); Sampayan, Stephen (Manteca, CA); Slenes, Kirk (Albuquerque, NM); Stoller, H. M. (Albuquerque, NM)
2009-11-10
A linear accelerator having cast dielectric composite layers integrally formed with conductor electrodes in a solventless fabrication process, with the cast dielectric composite preferably having a nanoparticle filler in an organic polymer such as a thermosetting resin. By incorporating this cast dielectric composite the dielectric constant of critical insulating layers of the transmission lines of the accelerator are increased while simultaneously maintaining high dielectric strengths for the accelerator.
Probing Universal Extra Dimension at the International Linear Collider
Gautam Bhattacharyya; Paramita Dey; Anirban Kundu; Amitava Raychaudhuri
2005-09-02
In the context of an universal extra-dimensional scenario, we consider production of the first Kaluza-Klein electron positron pair in an $e^+e^-$ collider as a case-study for the future International Linear Collider. The Kaluza-Klein electron decays into a nearly degenerate Kaluza-Klein photon and a standard electron, the former carrying away missing energy. The Kaluza-Klein electron and photon states are heavy with their masses around the inverse radius of compactification, and their splitting is controlled by radiative corrections originating from bulk and brane-localised interactions. We look for the signal event $e^+e^- +$ large missing energy for $\\sqrt s = 1$ TeV and observe that with a few hundred fb$^{-1}$ luminosity the signal will be readily detectable over the standard model background. We comment on how this signal may be distinguished from similar events from other new physics.
Extra dimensions and Seesaw Neutrinos at the International Linear Collider
Tomoyuki Saito; Masaki Asano; Keisuke Fujii; Naoyuki Haba; Shigeki Matsumoto; Takehiro Nabeshima; Yosuke Takubo; Hitoshi Yamamoto; Koichi Yoshioka
2010-11-27
We study the capability of the international linear collider (ILC) to probe extra dimensions via the seesaw mechanism. In the scenario we study, heavy Kaluza-Klein neutrinos generate tiny neutrino masses and, at the same time, have sizable couplings to the standard-model particles. Consequently, a Kaluza-Klein tower of heavy neutrinos (N) can be produced and studied at the ILC through the process: e+e- -> vN followed by N -> Wl decay. We show that the single lepton plus two-jets final states with large missing energy from this signal process will provide a good opportunity to measure the masses and cross sections of Kaluza-Klein neutrinos up to the third level. Furthermore, the neutrino oscillation parameters can be extracted from the flavor dependence of the lowest-mode signals, which give us information about the origin of low-energy neutrino masses.
Splines and Linear Control Theory Zhimin Zhang, John Tomlinson and Clyde Martin
Zhang, Zhimin
Splines and Linear Control Theory Zhimin Zhang, John Tomlinson and Clyde Martin Department and the linear control theory has been analyzed. We show that spline functions can be constructed naturally from the control theory. By establishing a framework based on control theory, we provide a simple and systematic
LINEAR DAES WITH NONSMOOTH FORCING PAUL I. BARTON AND SANTOS GALAN
calculation in order restart numerical integration immediately following the event. Br¨ull and Pallaske [3 functions are derived for linear time invariant differential-algebraic equations of arbitrary index subject and extensions to the linear time varying and nonlinear cases are discussed. Key words. differential
Search for: "neutrinoless double beta decay" | DOE PAGES
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Photoproduction and Decay of Light Mesons in CLAS
Amaryan, Moskov Jamalovich
2013-08-01
We present preliminary experimental results on photoproduction and decay of light mesons measured with CLAS setup at JLAB . This include Dalitz decay of pseudoscalar and vector mesons, radiative decay of pseudoscalar mesons as well hadronic decays of pseudoscalar and vector mesons. The collected high statistics in some of decay channels exceeds the world data by an order of magnitude and some other decay modes are observed for the first time. It is shown how the CLAS data will improve the world data on transition form factors of light mesons, Dalitz plot analyses, branching ratios of rare decay modes and other fundamental properties potentially accessible through the light meson decays.
SciTech Connect: "neutrinoless double beta decay"
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Circuit Complexity and Multiplicative Complexity of Boolean Functions
no example of an explicit function requiring super linear circuit size. Moreover, only a few proofs of linear (usually by a long case analysis) that for any circuit computing this function setting some variablesCircuit Complexity and Multiplicative Complexity of Boolean Functions Arist Kojevnikov1
Vertex Detection for a Charm Tag in e+e- -> W+W- at a High Energy Electron-Positron Linear Collider
Wolfgang Walkowiak
2001-10-18
The study of the process $e^+e^- \\to W^+W^-$ at Linear Collider energies presents a good opportunity to investigate anomalous triple gauge boson couplings and $W^+_LW^-_L$ rescattering. The helicity analysis of the $e^+e^- \\to W^+_LW^-_L$ decays will benefit if the charm quark containing jet can be identified for events which contain one hadronic $W$ boson decay to a charm and another quark. A JAVA implementation of the SLD collaboration's topological vertex finding algorithm (ZVTOP) in the linear collider analysis framework has been used to extract charm tag efficiencies and purities based on vertex multiplicities.
Prospects for Precision Higgs Physics at Linear Colliders
Frank Simon
2012-11-30
A linear e+e- collider provides excellent possibilities for precision measurements of the properties of the Higgs boson. At energies close to the Z-Higgs threshold, the Higgs boson can be studied in recoil against a Z boson, to obtain not only a precision mass measurement but also direct measurements of the branching ratios for most decay modes, including possible decay to invisible species. At higher energies, the Higgs boson coupling to top quarks and the Higgs boson self-coupling can also be measured. At energies approaching 1 TeV and above, the rising cross section for Higgs production in WW fusion allows the measurement of very small branching ratios, including the branching ratio to muon pairs. These experiments make it possible to determine the complete profile of the Higgs boson in a model-independent way. The prospects for these measurements are summarized, based on the results of detailed simulation studies performed within the frameworks of the CLIC conceptual design report and the ILC technical design report.
Energy spectra of massive two-body decay products and mass measurement
Agashe, Kaustubh; Hong, Sungwoo; Kim, Doojin
2015-01-01
We have recently established a new method for measuring the mass of unstable particles produced at hadron colliders based on the analysis of the energy distribution of a massless product from their two-body decays. The central ingredient of our proposal is the remarkable result that, for an unpolarized decaying particle, the location of the peak in the energy distribution of the observed decay product is identical to the (fixed) value of the energy that this particle would have in the rest-frame of the decaying particle, which, in turn, is a simple function of the involved masses. In addition, we utilized the property that this energy distribution is symmetric around the location of peak when energy is plotted on a logarithmic scale. The general strategy was demonstrated in several specific cases, including both beyond the SM particles, as well as for the top quark. In the present work, we generalize this method to the case of a massive decay product from a two-body decay; this procedure is far from trivial b...
Investigation of a Linear Model to Describe Hydrologic Phenomenon of Drainage Basins
Schmer, F. A.
1969-01-01
This investigation is concerned with the applicability of the linear convolution relationship for approximating the rainfall-runoff phenomenon for small drainage basins. A solution for the transfer function of the convolution relationship...
Testing Lack-of-Fit of Generalized Linear Models via Laplace Approximation
Glab, Daniel Laurence
2012-07-16
In this study we develop a new method for testing the null hypothesis that the predictor function in a canonical link regression model has a prescribed linear form. The class of models, which we will refer to as canonical ...
Artuso, M.; Asner, D.M.; Ball, P.; Baracchini, E.; Bell, G.; Beneke, M.; Berryhill, J.; Bevan, A.; Bigi, I.I.; Blanke, M.; Bobeth, Ch.; Bona, M.; Borzumati, F.; Browder, T.; Buanes, T.; Buchalla, G.; Buchmuller, O.; Buras, A.J.; Burdin, S.; Cassel, D.G.; Cavanaugh, R.; /Syracuse U. /Carleton U. /Durham U., IPPP /Rome U. /INFN, Rome /Karlsruhe U. /RWTH Aachen U. /Fermilab /Queen Mary, U. of London /Notre Dame U. /Munich, Tech. U. /Munich, Max Planck Inst. /Dortmund U. /Annecy, LAPP /ICTP, Trieste /Taiwan, Natl. Central U. /Hawaii U. /Bergen U. /Munich U. /CERN /Liverpool U.
2008-03-07
The present report documents the results of Working Group 2: B, D and K decays, of the workshop on Flavor in the Era of the LHC, held at CERN from November 2005 through March 2007. With the advent of the LHC, we will be able to probe New Physics (NP) up to energy scales almost one order of magnitude larger than it has been possible with present accelerator facilities. While direct detection of new particles will be the main avenue to establish the presence of NP at the LHC, indirect searches will provide precious complementary information, since most probably it will not be possible to measure the full spectrum of new particles and their couplings through direct production. In particular, precision measurements and computations in the realm of flavor physics are expected to play a key role in constraining the unknown parameters of the Lagrangian of any NP model emerging from direct searches at the LHC. The aim of Working Group 2 was twofold: on one hand, to provide a coherent, up-to-date picture of the status of flavor physics before the start of the LHC; on the other hand, to initiate activities on the path towards integrating information on NP from high-p{sub T} and flavor data. This report is organized as follows. In Sec. 1, we give an overview of NP models, focusing on a few examples that have been discussed in some detail during the workshop, with a short description of the available computational tools for flavor observables in NP models. Sec. 2 contains a concise discussion of the main theoretical problem in flavor physics: the evaluation of the relevant hadronic matrix elements for weak decays. Sec. 3 contains a detailed discussion of NP effects in a set of flavor observables that we identified as 'benchmark channels' for NP searches. The experimental prospects for flavor physics at future facilities are discussed in Sec. 4. Finally, Sec. 5 contains some assessments on the work done at the workshop and the prospects for future developments.
New non-linear photovoltaic effect in uniform bipolar semiconductor
Volovichev, I.
2014-11-21
A linear theory of the new non-linear photovoltaic effect in the closed circuit consisting of a non-uniformly illuminated uniform bipolar semiconductor with neutral impurities is developed. The non-uniform photo-excitation of impurities results in the position-dependant current carrier mobility that breaks the semiconductor homogeneity and induces the photo-electromotive force (emf). As both the electron (or hole) mobility gradient and the current carrier generation rate depend on the light intensity, the photo-emf and the short-circuit current prove to be non-linear functions of the incident light intensity at an arbitrarily low illumination. The influence of the sample size on the photovoltaic effect magnitude is studied. Physical relations and distinctions between the considered effect and the Dember and bulk photovoltaic effects are also discussed.
APPLICATION OF NEURAL NETWORK ALGORITHMS FOR BPM LINEARIZATION
Musson, John C.; Seaton, Chad; Spata, Mike F.; Yan, Jianxun
2012-11-01
Stripline BPM sensors contain inherent non-linearities, as a result of field distortions from the pickup elements. Many methods have been devised to facilitate corrections, often employing polynomial fitting. The cost of computation makes real-time correction difficult, particulalry when integer math is utilized. The application of neural-network technology, particularly the multi-layer perceptron algorithm, is proposed as an efficient alternative for electrode linearization. A process of supervised learning is initially used to determine the weighting coefficients, which are subsequently applied to the incoming electrode data. A non-linear layer, known as an ?activation layer,? is responsible for the removal of saturation effects. Implementation of a perceptron in an FPGA-based software-defined radio (SDR) is presented, along with performance comparisons. In addition, efficient calculation of the sigmoidal activation function via the CORDIC algorithm is presented.
Confirming the Lanchestrian linear-logarithmic model of attrition
Hartley, D.S. III.
1990-12-01
This paper is the fourth in a series of reports on the breakthrough research in historical validation of attrition in conflict. Significant defense policy decisions, including weapons acquisition and arms reduction, are based in part on models of conflict. Most of these models are driven by their attrition algorithms, usually forms of the Lanchester square and linear laws. None of these algorithms have been validated. The results of this paper confirm the results of earlier papers, using a large database of historical results. The homogeneous linear-logarithmic Lanchestrian attrition model is validated to the extent possible with current initial and final force size data and is consistent with the Iwo Jima data. A particular differential linear-logarithmic model is described that fits the data very well. A version of Helmbold's victory predicting parameter is also confirmed, with an associated probability function. 37 refs., 73 figs., 68 tabs.
Closed strings from decaying D-branes
Neil Lambert; Hong Liu; Juan Maldacena
2007-02-05
We compute the emission of closed string radiation from homogeneous rolling tachyons. For an unstable decaying D$p$-brane the radiated energy is infinite to leading order for $p\\leq 2$ and finite for $p>2$. The closed string state produced by a decaying brane is closely related to the state produced by D-instantons at a critical Euclidean distance from $t=0$. In the case of a D0 brane one can cutoff this divergence so that we get a finite energy final state which would be the state that the brane decays into.
A study of the measurement accuracy of the Higgs boson decaying into tau pairs at the ILC
Kawada, Shin-ichi; Suehara, Taikan; Takahashi, Tohru; Tanabe, Tomohiko
2015-01-01
We evaluated the measurement accuracy of the production cross section times the branching ratio of the Higgs boson decaying into tau pairs at the International Linear Collider (ILC). We analyzed all possible production and decay processes for the Higgs boson into tau pairs. Further, we showed that the precision for the production cross section times the branching ratio can be a few percent with the nominal integrated luminosities assumed in the ILC Technical Design Report and a subpercent level with the running scenario including possible luminosity upgrades. The study provides the reference performance of the ILC for phenomenological analyses.
A study of the measurement accuracy of the Higgs boson decaying into tau pairs at the ILC
Shin-ichi Kawada; Keisuke Fujii; Taikan Suehara; Tohru Takahashi; Tomohiko Tanabe
2015-09-07
We evaluated the measurement accuracy of the production cross section times the branching ratio of the Higgs boson decaying into tau pairs at the International Linear Collider (ILC). We analyzed all possible production and decay processes for the Higgs boson into tau pairs. Further, we showed that the precision for the production cross section times the branching ratio can be a few percent with the nominal integrated luminosities assumed in the ILC Technical Design Report and a subpercent level with the running scenario including possible luminosity upgrades. The study provides the reference performance of the ILC for phenomenological analyses.
The Electronic Journal of Linear Algebra. A publication of the International Linear Algebra Society.
Grudsky, Sergei
The Electronic Journal of Linear Algebra. A publication of the International Linear Algebra Society. Introduction and main results. Let lp n 1 p 1 be the linear space C n with the lp norm, kxkp = X j jxjjp 1=p
Basic Fourier series: convergence on and outside the q-linear grid
J. L. Cardoso
2006-05-30
A q-type Holder condition on a function f is given in order to establish (uniform) convergence of the corresponding basic Fourier series S_q[f] to the function itself, on the set of points of the q-linear grid. Furthermore, by adding others conditions, one guaranties the (uniform) convergence of S_q[f] to f on and "outside" the set points of the q-linear grid.
Angular analysis of polarized top quark decay into B-mesons in two different helicity systems
S. Mohammad Moosavi Nejad; Mahboobe Balali
2014-10-16
We calculate the ${\\cal O}(\\alpha_s)$ radiative corrections to the spin dependent differential decay rates of the process $t\\rightarrow b+W^+$. These are needed to study the angular distribution of the energy of hadrons produced in polarized top quark decays at next-to-leading order (NLO). In our previous work, we studied the angular distribution of the scaled-energy of bottom-flavored hadrons (B) from polarized top quark decays, using a specific helicity coordinate system where the top quark spin was measured relative to the bottom momentum (system~1). Here, we study the angular distribution of the energy spectrum of B-hadron in a different helicity system, where the top spin is specified relative to the W-momentum (system~2). These energy distributions are governed by the polarized and unpolarized rate functions which are related to the density matrix elements of the decay $t\\rightarrow W^++b$. Through this paper, we present our predictions of the B-hadron spectrum in the polarized and unpolarized top decay and shall compare the polarized results in two different helicity systems. These predictions can be used to determine the polarization states of top quarks and also provide direct access to the B-hadron fragmentation functions (FFs) and allow us to deepen our knowledge of the hadroniazation process.
Effects of the neutrino mass splitting on the non-linear matter power spectrum
Christian Wagner; Licia Verde; Raul Jimenez
2012-03-23
We have performed cosmological N-body simulations which include the effect of the masses of the individual neutrino species. The simulations were aimed at studying the effect of different neutrino hierarchies on the matter power spectrum. Compared to the linear theory predictions, we find that non-linearities enhance the effect of hierarchy on the matter power spectrum at mildly non-linear scales. The difference between the different hierarchies is about 0.5% for a sum of neutrino masses of 0.1eV. Albeit this is a small effect, it is potentially measurable from upcoming surveys. In combination with neutrinoless double-beta decay experiments, this opens up the possibility of using the sky to determine if neutrinos are Majorana or Dirac fermions.
Seismic response of linear accelerators
Collette, C; Guinchard, M; Hauviller, C
2010-01-01
This paper is divided into two parts. The first part presents recent measurements of ground motion in the LHC tunnel at CERN. From these measurements, an update of the ground motion model currently used in accelerator simulations is presented. It contains new features like a model of the lateral motion and the technical noise. In the second part, it is shown how this model can be used to evaluate the seismic response of a linear accelerator in the frequency domain. Then, the approach is validated numerically on a regular lattice, taking the dynamic behavior of the machine alignment stage and the mechanical stabilization of the quadrupoles into account.
Linear Accelerator | Advanced Photon Source
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Homesum_a_epg0_fpd_mmcf_m.xls" ,"Available from WebQuantityBonneville Power Administration would likeUniverseIMPACTThousand CubicResourcelogo and-E C H2015Tray and|Projects PagesLinear
Neutrino Decay and Solar Neutrino Seasonal Effect
Picoreti, R; de Holanda, P C; Peres, O L G
2015-01-01
We consider the possibility of solar neutrino decay as a sub-leading effect on their propagation between production and detection. Using current oscillation data, we set a new lower bound to the $\
Wood Decay in Silicified Gymnosperms from Antarctica
Stubblefield, Sara P.; Taylor, Thomas N.
1986-03-01
of decay are evident: (1) A wall component, presumably lignin, is removed from the wall and middle lamella of infected tracheids, leaving a considerably thinner cellulose framework; and (2) the primary and secondary walls typically separate, and all wall...
CP Violation in Neutrinoless Double Beta Decay
T. Fukuyama; K. Matsuda; H. Nishiura
1997-08-19
We argue three-flavour neutrino mixing. We consider the neutrinos as Majorana particles and see how the neutrinoless double beta decay constrains the neutrino mixing angles. Our formulation is widely valid and is applied to the neutrino oscillation experiment.
Recent Results in Neutrinoless Double Beta Decay
Lisa J. Kaufman
2013-05-14
The search for neutrinoless double beta decay is a rich source for new physics. The observation of this decay will lead to understanding of the absolute mass scale of neutrinos, the Majorana nature of the neutrino (whether the neutrino is its own anti-particle), and lepton number violation. Double beta decay is being investigated around the world by several experiments using different candidate isotopes. There has been much progress made in experimental techniques recently such that achieving sensitivity to neutrino masses at 50 meV and below will be possible in the near future. A summary of recent results in neutrinoless double beta decay is discussed with a look toward the experimental goals for the future.
Phenomenology of neutrinoless double beta decay
Gómez-Cadenas, J J
2015-01-01
This paper reviews the current status and future outlook of neutrinoless double beta decay searches, which try to provide an answer to the fundamental question of whether neutrinos are Dirac or Majorana particles.
Phenomenology of neutrinoless double beta decay
J. J. Gómez-Cadenas; Justo Martín-Albo
2015-02-25
This paper reviews the current status and future outlook of neutrinoless double beta decay searches, which try to provide an answer to the fundamental question of whether neutrinos are Dirac or Majorana particles.
DIRECT PHOTONS FROM Y(3100) DECAY
Ronan, M.T.
2010-01-01
to search for direct photons from 0(3100) decay. V* havedecay, but a sianal of high energy direct photons remains.this excess of direct photons wi*h OCD predictions and
Double beta decay and neutrino mass models
Helo, J C; Ota, T; Santos, F A Pereira dos
2015-01-01
Neutrinoless double beta decay allows to constrain lepton number violating extensions of the standard model. If neutrinos are Majorana particles, the mass mechanism will always contribute to the decay rate, however, it is not a priori guaranteed to be the dominant contribution in all models. Here, we discuss whether the mass mechanism dominates or not from the theory point of view. We classify all possible (scalar-mediated) short-range contributions to the decay rate according to the loop level, at which the corresponding models will generate Majorana neutrino masses, and discuss the expected relative size of the different contributions to the decay rate in each class. We also work out the phenomenology of one concrete 2-loop model in which both, mass mechanism and short-range diagram, might lead to competitive contributions, in some detail.
Theory of top quark production and decay
Kuehn, J.H. [Universitaet Karlsruhe (Germany)
1997-01-01
Direct and indirect information on the top quark mass and its decay modes is reviewed. The theory of top production in hadron- and electron-positron-colliders is presented.
Uncertainty evaluation of delayed neutron decay parameters
Wang, Jinkai
2009-05-15
In a nuclear reactor, delayed neutrons play a critical role in sustaining a controllable chain reaction. Delayed neutron’s relative yields and decay constants are very important for modeling reactivity control and have been studied for decades...
LHC prospects for minimal decaying dark matter
Arcadi, Giorgio; Covi, Laura; Dradi, Federico, E-mail: giorgio.arcadi@theorie.physik.uni-goettingen.de, E-mail: laura.covi@theorie.physik.uni-goettingen.de, E-mail: federico.dradi@theorie.physik.uni-goettingen.de [Institute for Theoretical Physics, Georg-August University Göttingen, Friedrich-Hund-Platz 1, Göttingen, D-37077 Germany (Germany)
2014-10-01
We study the possible signals at LHC of the minimal models of decaying dark matter. Those models are characterized by the fact that DM interacts with SM particles through renormalizable coupling with an additional heavier charged state. Such interaction allows to produce a substantial abundance of DM in the early Universe via the decay of the charged heavy state, either in- or out-of-equilibrium. Moreover additional couplings of the charged particle open up decay channels for the DM, which can nevertheless be sufficiently long-lived to be a good DM candidate and within reach of future Indirect Detection observations. We compare the cosmologically favored parameter regions to the LHC discovery reach and discuss the possibility of simultaneous detection of DM decay in Indirect Detection.
Linear Regression and Support Vector Regression
Shi, Qinfeng "Javen"
Linear Regression and Support Vector Regression Paul Paisitkriangkrai paulp@cs.adelaide.edu.au The University of Adelaide 18 August 2014 #12;Outlines · Regression overview · Linear regression · Support vector regression · Machine learning tools available #12;Regression Overview CLUSTERING CLASSIFICATION REGRESSION
Ultrashort Pulse Propagation in the Linear Regime
Wang, Jieyu
2010-07-14
First, we investigate the Bouguer-Lambert-Beer (BLB) law as applied to the transmission of ultrashort pulses through water in the linear absorption regime. We present a linear theory for propagation of ultrashort laser ...
MANEUVER REGULATION, TRANSVERSE FEEDBACK LINEARIZATION, AND ZERO
Maggiore, Manfredi
MANEUVER REGULATION, TRANSVERSE FEEDBACK LINEARIZATION, AND ZERO DYNAMICS Chris Nielsen,1 Manfredi focus is on output maneuver regulation where stabilizing transverse dynamics is a key requirement. Keywords: Maneuver regulation, path following, feedback linearization, zero dynamics, non-square systems
Linear relaxations for transmission system planning
Taylor, Joshua A.
We apply a linear relaxation procedure for polynomial optimization problems to transmission system planning. The approach recovers and improves upon existing linear models based on the DC approximation. We then consider ...
High speed linear induction motor efficiency optimization
Johnson, Andrew P. (Andrew Peter)
2005-01-01
One of the reasons linear motors, a technology nearly a century old, have not been adopted for a large number of linear motion applications is that they have historically had poor efficiencies. This has restricted the ...
Proceedings of the International Linear Collider Workshop
Proceedings of the International Linear Collider Workshop LCWS 2007 ILC 2007 Volume 1 Edited by Ariane Frey Sabine Riemann #12;Impressum Proceedings of the International Linear Collider Workshop LCWS
Signal Flows in Non-Markovian Linear Quantum Feedback Networks
Re-Bing Wu; Jing Zhang; Yu-xi Liu; Tzyh-Jong Tarn
2014-12-17
Enabled by rapidly developing quantum technologies, it is possible to network quantum systems at a much larger scale in the near future. To deal with non-Markovian dynamics that is prevalent in solid-state devices, we propose a general transfer function based framework for modeling linear quantum networks, in which signal flow graphs are applied to characterize the network topology by flow of quantum signals. We define a noncommutative ring $\\mathbb{D}$ and use its elements to construct Hamiltonians, transformations and transfer functions for both active and passive systems. The signal flow graph obtained for direct and indirect coherent quantum feedback systems clearly show the feedback loop via bidirectional signal flows. Importantly, the transfer function from input to output field is derived for non-Markovian quantum systems with colored inputs, from which the Markovian input-output relation can be easily obtained as a limiting case. Moreover, the transfer function possesses a symmetry structure that is analogous to the well-know scattering transformation in \\sd picture. Finally, we show that these transfer functions can be integrated to build complex feedback networks via interconnections, serial products and feedback, which may include either direct or indirect coherent feedback loops, and transfer functions between quantum signal nodes can be calculated by the Riegle's matrix gain rule. The theory paves the way for modeling, analyzing and synthesizing non-Markovian linear quantum feedback networks in the frequency-domain.
Neutrinoless double beta decay with scalar bilinears
H. V. Klapdor-Kleingrothaus; U. Sarkar
2002-11-18
One possible probe to physics beyond the standard model is to look for scalar bilinears, which couple to two fermions of the standard model. We point out that the scalar bilinears allow new diagrams contributing to the neutrinoless double beta decay. The upper bound on the neutrinoless double beta decay lifetime would then give new constraints on the ratio of the masses of these scalars to their couplings to the fermions.
Rare meson decays into very light neutralinos
O'Leary, Ben [Institut fuer Theoretische Physik, RWTH Aachen University, 52056 Aachen (Germany)
2010-02-10
Results are presented for the two-body decays of mesons into light neutralinos and from the first complete calculation of the loop-induced decays of kaons to pions plus light neutralinos and of B mesons to kaons plus light neutralinos. The branching ratios are shown to be strongly suppressed within the MSSM with minimal flavor violation, and no bounds on the neutralino mass can be inferred from experimental data, i.e. a massless neutralino is allowed.
Searches for neutrinoless double beta decay
B. Schwingenheuer
2012-01-24
Neutrinoless double beta decay is a lepton number violating process whose observation would also establish that neutrinos are their own anti-particles. There are many experimental efforts with a variety of techniques. Some (EXO, Kamland-Zen, GERDA phase I and CANDLES) started take data in 2011 and EXO has reported the first measurement of the half life for the double beta decay with two neutrinos of $^{136}$Xe. The sensitivities of the different proposals are reviewed.
Fidelity Decay for Phase Space Displacements
Diego V. Bevilaqua; Eric J. Heller
2004-09-03
In this letter we analyse the behavior of fidelity decay under a very specific kind of perturbation: phase space displacements. Under these perturbations, systems will decay following the Lyapunov regime only. Others universal regimes discussed in the literature are not presented in this case; instead, for small values of the perturbation we observe quantum freeze of the fidelity. We also show that it is possible to connect this result with the incoherent neutron scattering problem
More about excited bottomonium radiative decays
Randy Lewis; R. M. Woloshyn
2012-09-18
Radiative decays of bottomonium are revisited, focusing on contributions from higher-order relativistic effects. The leading relativistic correction to the magnetic spin-flip operator at the photon vertex is found to be particularly important. The combination of O(v^6) effects in the nonrelativistic QCD action and in the transition operator moves previous lattice results for excited Upsilon decays into agreement with experiment.
CP Violation in Other Bs Decays
L. Zhang; for the LHCb Collaboration
2012-08-24
The recent experimental results of CP violation in Bs decays other than in the J/psi phi final state are discussed. Included are the resonant components and $\\phi_s$ determination in Bs -> J/psi pi+ pi-, CP asymmetries in Bs -> h+ h'- decays, and the Bs effective lifetimes in the CP-even state K+ K- and the CP-odd state J/psi f0(980).
Rare top quark decays in extended models
Gaitan, R.; Miranda, O. G.; Cabral-Rosetti, L. G.
2006-09-25
Flavor changing neutral currents (FCNC) decays t {yields} H0 + c, t {yields} Z + c, and H0 {yields} t + c-bar are discussed in the context of Alternative Left-Right symmetric Models (ALRM) with extra isosinglet heavy fermions where FCNC decays may take place at tree-level and are only suppressed by the mixing between ordinary top and charm quarks, which is poorly constraint by current experimental values. The non-manifest case is also briefly discussed.
False Starts in History of Searches for 2{beta} Decay, or Discoverless Double Beta Decay
Tretyak, V. I. [Institute for Nuclear Research, MSP 03680, Kyiv (Ukraine)
2011-12-16
A collection of stories is presented on discoveries of 2{beta} decay (including neutrinoless one) which were refuted in the subsequent investigations.
Damped collective motion of many body systems: A variational approach to the quantal decay rate
Christian Rummel; Helmut Hofmann
2005-03-04
We address the problem of collective motion across a barrier like encountered in fission. A formula for the quantal decay rate is derived which bases on a recently developed variational approach for functional integrals. This formula can be applied to low temperatures that have not been accessible within the former PSPA type approach. To account for damping of collective motion one particle Green functions are dressed with appropriate self-energies.
New insights into the decay of ion waves to turbulence, ion heating, and soliton generation
Chapman, T. Banks, J. W.; Berger, R. L.; Cohen, B. I.; Williams, E. A.; Brunner, S.
2014-04-15
The decay of a single-frequency, propagating ion acoustic wave (IAW) via two-ion wave decay to a continuum of IAW modes is found to result in a highly turbulent plasma, ion soliton production, and rapid ion heating. Instability growth rates, thresholds, and sensitivities to plasma conditions are studied via fully kinetic Vlasov simulations. The decay rate of IAWs is found to scale linearly with the fundamental IAW potential amplitude ?{sub 1} for ZT{sub e}/T{sub i}?20, beyond which the instability is shown to scale with a higher power of ?{sub 1}, where Z is the ion charge number and T{sub e} (T{sub i}) is the electron (ion) thermal temperature. The threshold for instability is found to be smaller by an order of magnitude than linear theory estimates. Achieving a better understanding of the saturation of stimulated Brillouin scatter levels observed in laser-plasma interaction experiments is part of the motivation for this study.
Recent Results on Semileptonic Decays at Babar
Serrano, Justine; /Orsay, LAL
2011-11-07
Some recent BABAR results on semileptonic decays are presented. They focus on the determination of the CKM matrix elements |V{sub ub}| and |V{sub cb}| in inclusive and exclusive b {yields} u{ell}v and b {yields} c{ell}v decays, and on form factors measurement in exclusive c {yields} s{ell}v decays. Semileptonic decays play a crucial role in the determination of the unitarity triangle parameters: decays of the b quark give access to the CKM matrix elements |V{sub ub}| and |V{sub cb}|, while charm decays provide a way to validate lattice QCD computations through form factors measurements. Such calculations provide theoretical inputs that are used, especially, in the b sector. A lot of new results have been obtained by the BABAR collaboration during the last years, thanks to the large b{bar b} and c{bar c} production cross-sections and to the large recorded statistics. Some of these measurements are presented here.
Power Spectrum Analyses of Nuclear Decay Rates
D. Javorsek II; P. A. Sturrock; R. N. Lasenby; A. N. Lasenby; J. B. Buncher; E. Fischbach; J. T. Gruenwald; A. W. Hoft; T. J. Horan; J. H. Jenkins; J. L. Kerford; R. H. Lee; A. Longman; J. J. Mattes; B. L. Morreale; D. B. Morris; R. N. Mudry; J. R. Newport; D. O'Keefe; M. A. Petrelli; M. A. Silver; C. A. Stewart; B. Terry
2010-07-06
We provide the results from a spectral analysis of nuclear decay data displaying annually varying periodic fluctuations. The analyzed data were obtained from three distinct data sets: 32Si and 36Cl decays reported by an experiment performed at the Brookhaven National Laboratory (BNL), 56Mn decay reported by the Children's Nutrition Research Center (CNRC), but also performed at BNL, and 226Ra decay reported by an experiment performed at the Physikalisch-Technische Bundesanstalt (PTB) in Germany. All three data sets exhibit the same primary frequency mode consisting of an annual period. Additional spectral comparisons of the data to local ambient temperature, atmospheric pressure, relative humidity, Earth-Sun distance, and their reciprocals were performed. No common phases were found between the factors investigated and those exhibited by the nuclear decay data. This suggests that either a combination of factors was responsible, or that, if it was a single factor, its effects on the decay rate experiments are not a direct synchronous modulation. We conclude that the annual periodicity in these data sets is a real effect, but that further study involving additional carefully controlled experiments will be needed to establish its origin.
Novel Weak Decays in Doubly Strange Systems
A. Parreno; A. Ramos; C. Bennhold
2001-06-22
The strangeness-changing ($\\Delta S = 1$) weak baryon-baryon interaction is studied through the nonmesonic weak decay of double-$\\Lambda$ hypernuclei. Besides the usual nucleon-induced decay $\\Lambda N \\to N N$ we discuss novel hyperon-induced decay modes $\\Lambda \\Lambda \\to \\Lambda N$ and $\\Lambda \\Lambda \\to \\Sigma N$. These reactions provide unique access to the exotic $\\Lambda \\Lambda$K and $\\Lambda \\Sigma$K vertices which place new constraints on Chiral Pertubation Theory ($\\chi$PT) in the weak SU(3) sector. Within a meson-exchange framework, we use the pseudoscalar $\\pi,\\eta,K$ octet for the long-range part while parametrizing the short-range part through the vector mesons $\\rho, \\omega, K^*$. Realistic baryon-baryon forces for the $S=0,-1$ and -2 sectors account for the strong interaction in the initial and final states. For $^6_{\\Lambda \\Lambda}$He the new hyperon-induced decay modes account for up to 4% of the total nonmesonic decay rate. Predictions are made for all possible nonmesonic decay modes.
Calculated final state probability distributions for T2 -decay measurements
Washington at Seattle, University of - Department of Physics, Electroweak Interaction Research Group
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.6.1 Neutrinoless double beta decay . . . . . . . . . . . . . . . . . . . . 19 1.6.2 Cosmological
Batch-mode Supervised Learning Linear regression
Wehenkel, Louis
Batch-mode Supervised Learning Linear regression Applied inductive learning - Lecture 3 Louis (& Pierre Geurts)AIA... (1/19) #12;Batch-mode Supervised Learning Linear regression Batch-mode Supervised Learning Linear regression Least mean square error solution Regularization and algorithmics Residual
MINIMIZING COMMUNICATION IN NUMERICAL LINEAR ALGEBRA*
California at Berkeley, University of
MINIMIZING COMMUNICATION IN NUMERICAL LINEAR ALGEBRA* GREY BALLARD , JAMES DEMMEL , OLGA HOLTZ, i.e., essentially all direct methods of linear al- gebra. The proof works for dense or sparse our lower bound technique to compositions of linear algebra operations (like computing powers
Depolarization of backscattered linearly polarized light
Lacoste, David
Depolarization of backscattered linearly polarized light Luis Fernando Rojas-Ochoa Department of backscattered linearly polarized light with an extended photon dif- fusion formalism taking explicitly, the characteristic depolarization length for linearly polarized light, lp , is deduced. We investigate the dependence
Gates, Jacklyn M.
2008-01-01
of transfermium elements in cold fusion reactions." Physical1. Introduction Part I: Cold Fusion Production and Decay of1.2. Hot versus Cold Fusion 1.3. Excitation Functions 1.3.1.
Lyapunov-Krasovskii Functionals Parameterized with polynomials
Boyer, Edmond
Lyapunov-Krasovskii Functionals Parameterized with polynomials Alexandre Seuret ,1 Automatic-mail: alexandre.seuret@gipsa-lab.inpg.fr Abstract: A novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals
Beauty Production in Deep Inelastic Scattering at HERA using Decays into Electrons
R. Shehzadi
2011-09-22
The results from a recent analysis on beauty production in deep inelastic scattering at HERA using decays into electrons from the ZEUS collaboration are presented. The fractions of events containing b quarks were extracted from a likelihood fit using variables sensitive to electron identification as well as to semileptonic decays. Total and differential cross sections were measured and compared with next-to-leading-order QCD calculations. The beauty contribution to the proton structure function F_2 was extracted from the double-differential cross sections.
Shape and pairing fluctuations effects on neutrinoless double beta decay nuclear matrix elements
Nuria López Vaquero; Tomás R. Rodríguez; J. Luis Egido
2014-01-03
Nuclear matrix elements (NME) for the most promising candidates to detect neutrinoless double beta decay have been computed with energy density functional methods including deformation and pairing fluctuations explicitly on the same footing. The method preserves particle number and angular momentum symmetries and can be applied to any decay without additional fine tunings. The finite range density dependent Gogny force is used in the calculations. An increase of $10\\%-40\\%$ in the NME with respect to the ones found without the inclusion of pairing fluctuations is obtained, reducing the predicted half-lives of these isotopes.
A SYMMETRIC FUNCTIONAL CALCULUS FOR NONCOMMUTING SYSTEMS OF SECTORIAL OPERATORS
Jefferies, Brian
A SYMMETRIC FUNCTIONAL CALCULUS FOR NONCOMMUTING SYSTEMS OF SECTORIAL OPERATORS BRIAN JEFFERIES Abstract. Given a system A = (A 1 , . . . , An ) of linear operators whose real linear comÂ binations have. In the case that A consists of a system of n commuting, possibly unbounded, linear operators with real spectra
Possible relevance of softening of sigma meson to $\\eta$ decay into 3$\\pi$ in nuclear medium
Sakai, Shuntaro
2015-01-01
We investigate the role for the softening of the scalar-isoscalar (sigma) meson in the $\\eta\\rightarrow\\pi^+\\pi^-\\pi^0$ and $3\\pi^0$ decay widths in the symmetric nuclear medium using a linear sigma model. Our calculation shows that these decay widths in the nuclear medium increase by up to a factor of four to ten compared with those in the free space mainly depending on the mass of the sigma meson in the free space which is an input parameter of the model. The enhancements are considerable even at a half of the normal nuclear density. Thus, the $\\eta$ decay into $3\\pi$ can be a new possible probe for the chiral restoration in the nuclear medium. We find that the density dependence of the $\\eta\\rightarrow3\\pi^0$ decay is moderate in comparison with that of the $\\eta\\rightarrow\\pi^+\\pi^-\\pi^0$ although the former width is greater than the latter one at a given density: This is because the softening of the sigma meson causes the cancellation of the terms appearing from the Bose symmetry in the $\\eta\\rightarrow3...
Fitting and forecasting non-linear coupled dark energy
Casas, Santiago; Baldi, Marco; Pettorino, Valeria; Vollmer, Adrian
2015-01-01
We consider cosmological models in which dark matter feels a fifth force mediated by the dark energy scalar field, also known as coupled dark energy. Our interest resides in estimating forecasts for future surveys like Euclid when we take into account non-linear effects, relying on new fitting functions that reproduce the non-linear matter power spectrum obtained from N-body simulations. We obtain fitting functions for models in which the dark matter-dark energy coupling is constant. Their validity is demonstrated for all available simulations in the redshift range $z=0-1.6$ and wave modes below $k=10 \\text{h/Mpc}$. These fitting formulas can be used to test the predictions of the model in the non-linear regime without the need for additional computing-intensive N-body simulations. We then use these fitting functions to perform forecasts on the constraining power that future galaxy-redshift surveys like Euclid will have on the coupling parameter, using the Fisher matrix method for galaxy clustering (GC) and w...
Linearization of Moffat's Symmetric Complex Metric Gravity
Joakim Munkhammar
2009-09-19
In this paper we investigate a complex symmetric generalization of general relativity and in particular we investigate its linearized field equations. We begin by reviewing some basic definitions and structures in Moffat's symmetric complex metric field theory of gravity. We then move on to derive the linearized retarded complex field equations. In addition to this we also derive a linearization of Moffat's field equations based on the more rigorous Fermi coordinate approach. In conclusion it is shown that the linearized symmetric complex field equations leads to a complex form of gravitomagnetism. We also briefly review the gravitational wave equation from the source less linearized symmetric complex field equations and discuss some open problems.
Reticle stage based linear dosimeter
Berger, Kurt W. (Livermore, CA)
2007-03-27
A detector to measure EUV intensity employs a linear array of photodiodes. The detector is particularly suited for photolithography systems that includes: (i) a ringfield camera; (ii) a source of radiation; (iii) a condenser for processing radiation from the source of radiation to produce a ringfield illumination field for illuminating a mask; (iv) a reticle that is positioned at the ringfield camera's object plane and from which a reticle image in the form of an intensity profile is reflected into the entrance pupil of the ringfield camera, wherein the reticle moves in a direction that is transverse to the length of the ringfield illumination field that illuminates the reticle; (v) detector for measuring the entire intensity along the length of the ringfield illumination field that is projected onto the reticle; and (vi) a wafer onto which the reticle imaged is projected from the ringfield camera.
Reticle stage based linear dosimeter
Berger, Kurt W.
2005-06-14
A detector to measure EUV intensity employs a linear array of photodiodes. The detector is particularly suited for photolithography systems that includes: (i) a ringfield camera; (ii) a source of radiation; (iii) a condenser for processing radiation from the source of radiation to produce a ringfield illumination field for illuminating a mask; (iv) a reticle that is positioned at the ringfield camera's object plane and from which a reticle image in the form of an intensity profile is reflected into the entrance pupil of the ringfield camera, wherein the reticle moves in a direction that is transverse to the length of the ringfield illumination field that illuminates the reticle; (v) detector for measuring the entire intensity along the length of the ringfield illumination field that is projected onto the reticle; and (vi) a wafer onto which the reticle imaged is projected from the ringfield camera.
Quantum Differential and Linear Cryptanalysis
Marc Kaplan; Gaëtan Leurent; Anthony Leverrier; María Naya-Plasencia
2015-10-20
Quantum computers, that may become available one day, will impact many scientific fields. Cryptography is certainly one of them since many asymmetric primitives would become insecure against an adversary with quantum capabilities. Cryptographers are already anticipating this threat by proposing and studying a number of potentially quantum-safe alternatives for those primitives. On the other hand, the situation of symmetric primitives which seem less vulnerable against quantum computing, has received much less attention. We need to prepare symmetric cryptography for the eventual arrival of the post-quantum world, as it is done with other cryptography branches. Cryptanalysis and security analysis are the only proper way to evaluate the security of symmetric primitives: our trust in specific ciphers relies on their ability to resist all known cryptanalysis tools. This requires a proper investigation of the toolkit of quantum cryptanalysis, that might include radically new attacks. This toolkit has not been much developed so far. In this paper, we study how some of the main cryptanalytic attacks behave in the post-quantum world. More specifically, we consider here quantum versions of differential and linear cryptanalysis. While running Grover's search algorithm on a quantum computer brings a quadratic speedup for brute-force attacks, we show that the situation is more subtle when considering specific cryptanalysis techniques. In particular, we give the quantum version of various classes of differential and linear attacks and show that the best attacks in the classical world do not necessarily lead to the best quantum ones. Some non-intuitive examples of application on ciphers LAC and KLEIN are provided.
Rutten, Jan
Motivation Introduction Linear maps as stream circuits Final semantics In conclusion Linear systems, coalgebraically Jan Rutten CWI & Vrije Universiteit Amsterdam CALCO 2007 #12;Motivation Introduction Linear maps as stream circuits Final semantics In conclusion Motivation Why linear systems, coalgebraically? Â· Very
ENGI 3423 Simple Linear Regression Page 12-01 Simple Linear Regression
George, Glyn
ENGI 3423 Simple Linear Regression Page 12-01 Simple Linear Regression Sometimes an experiment predict the value of Y for that value of x . The simple linear regression model is that the predicted for dealing with non-linear regression are available in the course text, but are beyond the scope
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. 2005; 12:683
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. 2005; 12:683 Published Numerical Linear Algebra and its Applications The fourth workshop of the ERCIM Working Group on `Matrix Computations and Statistics' and the First International workshop on `Numerical Linear Algebra and its
Robustness analysis of linear estimators
Tayade, Rajeshwary
2004-09-30
. Conditional Maximum Likelihood, i.e. given that the conditional probability function p(yjx) is known, find x such that p(y0jx) is maximum for a particular observation y0. Thus we can have estimators that minimize the average cost, or minimizes the max- imum... as the particle moves from t0 to t is given by s = Z t t0 jx0(t)jdt (2.2) Here we have an expression for s as a function of t : s = f(t). To show that s is a regular parameter, we note that this function is also analytic. Differentiating equation 2.2 we have, ds...
Neutrino Decay and Neutrinoless Double Beta Decay in a 3-3-1 Model
Alex G. Dias; A. Doff; C. A. de S. Pires; P. S. Rodrigues da Silva
2005-08-11
In this work we show that the implementation of spontaneous breaking of the lepton number in the 3-3-1 model with right-handed neutrinos gives rise to fast neutrino decay with majoron emission and generates a bunch of new contributions to the neutrinoless double beta decay.
Neutrino decay and neutrinoless double beta decay in a 3-3-1 model
Dias, Alex G. [Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 66.318, 05315-970, Sao Paulo-SP (Brazil); Doff, A. [Instituto de Fisica Teorica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 Sao Paulo-SP (Brazil); Pires, C.A. de S; Rodrigues da Silva, P.S. [Departamento de Fisica, Universidade Federal da Paraiba, Caixa Postal 5008, 58051-970, Joao Pessoa-PB (Brazil)
2005-08-01
In this work we show that the implementation of spontaneous breaking of the lepton number in the 3-3-1 model with right-handed neutrinos gives rise to fast neutrino decay with Majoron emission and generates a bunch of new contributions to the neutrinoless double beta decay.
Associated production of A^0 and Z^0 bosons and Rare Pseudoscalar Higgs Decays
B. Field
2005-02-22
We study the production of a pseudoscalar Higgs boson A^0 in association with a Z^0 boson at a future international linear collider (ILC). We consider the contributions to this process at the one loop level in the Minimal Supersymmetric Standard Model (MSSM) from top and bottom quarks as well as stop and sbottom squarks. We also study the squark contributions to the decay widths of the pseudoscalar Higgs boson for the decays A^0 --> \\gamma Z^0$ and A^0 --> Z^0 Z^0. The contribution from the supersymmetric loops are found to be directly proportional to the squark mixing and potentially large due to the massive pseudoscalar Higgs coupling to squarks.
The NEXT experiment: A high pressure xenon gas TPC for neutrinoless double beta decay searches
D. Lorca; J. Martín-Albo; F. Monrabal; for the NEXT Collaboration
2012-10-15
Neutrinoless double beta decay is a hypothetical, very slow nuclear transition in which two neutrons undergo beta decay simultaneously and without the emission of neutrinos. The importance of this process goes beyond its intrinsic interest: an unambiguous observation would establish a Majorana nature for the neutrino and prove the violation of lepton number. NEXT is a new experiment to search for neutrinoless double beta decay using a radiopure high-pressure xenon gas TPC, filled with 100 kg of Xe enriched in Xe-136. NEXT will be the first large high-pressure gas TPC to use electroluminescence readout with SOFT (Separated, Optimized FuncTions) technology. The design consists in asymmetric TPC, with photomultipliers behind a transparent cathode and position-sensitive light pixels behind the anode. The experiment is approved to start data taking at the Laboratorio Subterr\\'aneo de Canfranc (LSC), Spain, in 2014.