The distribution of prime numbers on the square root spiral
Harry K. Hahn; Robert Sachs
2008-01-09T23:59:59.000Z
Prime Numbers clearly accumulate on defined spiral graphs,which run through the Square Root Spiral. These spiral graphs can be assigned to different spiral-systems, in which all spiral-graphs have the same direction of rotation and the same -second difference- between the numbers, which lie on these spiral-graphs. A mathematical analysis shows, that these spiral graphs are caused exclusively by quadratic polynomials. For example the well known Euler Polynomial x2+x+41 appears on the Square Root Spiral in the form of three spiral-graphs, which are defined by three different quadratic polynomials. All natural numbers,divisible by a certain prime factor, also lie on defined spiral graphs on the Square Root Spiral (or Spiral of Theodorus, or Wurzelspirale). And the Square Numbers 4, 9, 16, 25, 36 even form a highly three-symmetrical system of three spiral graphs, which divides the square root spiral into three equal areas. Fibonacci number sequences also play a part in the structure of the Square Root Spiral. With the help of the Number-Spiral, described by Mr. Robert Sachs, a comparison can be drawn between the Square Root Spiral and the Ulam Spiral. The shown sections of his study of the number spiral contain diagrams, which are related to my analysis results, especially in regards to the distribution of prime numbers.
The ordered distribution of natural numbers on the square root spiral
Harry K. Hahn; Kay Schoenberger
2007-12-13T23:59:59.000Z
Natural numbers divisible by the same prime factor lie on defined spiral graphs which are running through the Square Root Spiral (also named as the Spiral of Theodorus or Wurzel Spirale or Einstein Spiral). Prime Numbers also clearly accumulate on such spiral graphs. And the square numbers 4, 9, 16, 25, 36,... form a highly three-symmetrical system of three spiral graphs, which divides the square-root-spiral into three equal areas. A mathematical analysis shows that these spiral graphs are defined by quadratic polynomials. Fibonacci number sequences also play a part in the structure of the Square Root Spiral. Fibonacci Numbers divide the Square Root Spiral into areas and angle sectors with constant proportions. These proportions are linked to the golden mean (or golden section), which behaves as a self-avoiding-walk-constant in the lattice-like structure of the square root spiral.
Radio Number for Square of Cycles Daphne Der-Fen Liu
Liu, Daphne Der-Fen
Radio Number for Square of Cycles Daphne Der-Fen Liu Melanie Xie Department of Mathematics and v. A radio labelling for G is a function f that assigns to each vertex a non- negative integer. The span of f is the difference of the maximum and the minimum labels assigned. The radio number of G
1128 volume 27 number 12 december 2009 nature biotechnology square meter per day of algae containing
Cai, Long
1128 volume 27 number 12 december 2009 nature biotechnology square meter per day of algae, such as triglycerides from algae or cellulosic biomass from higher plants, as feedstocks for biofuel production. The algal program sought to develop high-oil-content algae that grow at very fast rates. In our report
The distribution of natural numbers divisible by 2,3,5,11,13 and 17 on the Square Root Spiral
Harry K. Hahn
2008-01-29T23:59:59.000Z
The natural numbers divisible by the Prime Factors 2, 3, 5, 11, 13 and 17 lie on defined spiral graphs, which run through the Square Root Spiral. A mathematical analysis shows, that these spiral graphs are defined by specific quadratic polynomials. Basically all natural number which are divisible by the same prime factor lie on such spiral graphs. And these spiral graphs can be assigned to a certain number of Spiral Graph Systems, which have a defined spatial orientation to each other. This document represents a supplementation to my detailed introduction study to the Square Root Spiral, and it contains the missing diagrams and analyses, showing the distribution of the natural numbers divisible by 2, 3, 5, 11, 13 and 17 on the Square Root Spiral. My introduction study to the Square Root Spiral can be found in the arxiv-archive. The title of this study : The ordered distribution of the natural numbers on the Square Root Spiral.
Alkhamis, Nawaf Yahya
2010-10-12T23:59:59.000Z
HEAT TRANSFER AND PRESSURE DROP MEASUREMENT FOR SQUARE CHANNELS WITH V-SHAPE RIBS AT HIGH REYNOLDS NUMBERS A Thesis by NAWAF YAHYA ALKHAMIS Submitted to the Office of Graduate Studies of Texas A&M University in partial... fulfillment of the requirements for the degree of MASTER OF SCIENCE August 2009 Major Subject: Mechanical Engineering HEAT TRANSFER AND PRESSURE DROP MEASUREMENT FOR SQUARE CHANNELS WITH V-SHAPE RIBS AT HIGH REYNOLDS NUMBERS A Thesis...
Alkhamis, Nawaf Yahya
2010-10-12T23:59:59.000Z
for the degree of MASTER OF SCIENCE August 2009 Major Subject: Mechanical Engineering HEAT TRANSFER AND PRESSURE DROP MEASUREMENT FOR SQUARE CHANNELS WITH V-SHAPE RIBS AT HIGH REYNOLDS NUMBERS A Thesis by NAWAF YAHYA ALKHAMIS... of Department, Dennis O?Neal August 2009 Major Subject: Mechanical Engineering iii ABSTRACT Heat Transfer and Pressure Drop Measurement for Square Channels with V-shape Ribs at High Reynolds Numbers. (August 2009) Nawaf Yahya Alkhamis, B.Sc King...
REVIEW OF BARRY MAZUR'S IMAGINING NUMBERS (PARTICULARLY THE SQUARE ROOT OF MINUS FIFTEEN) AND
Franklin, James
profile in the world's imagination. And it has brought in its train a number of philosophical questions of the explanatory load of quantum mechanics,
of the Gravitational Inverse-Square Law: A Search for "Large" Extra Dimensions C. D. Hoyle, U. Schmidt, B. R. Heckel, E-dimensional theories that predict new effects, we tested the gravitational 1 r2 law at separations ranging down to 218 ranges l 0.1 mm [11]. This Letter reports results of a test of gravitational inverse-square law at length
Bieniosek, Matthew (Matthew F.)
2010-01-01T23:59:59.000Z
The arrival of photons at a given location is a Poisson process with an associated shot noise which rises with the square root of the number of photons received. An analog-to-digital converter (ADC) with a square root ...
Gabrieli, John
problems ADVANCING KENDALL SQUARE 4 #12;Existing Parking Lots Retaining Kendall Square's historical roots TRANSFORMING SIX PARKING LOTS 1 34 56 2 5 #12;EXTENSIVE ENGAGEMENT PROCESS Phase 1 2008-2013 · Obtained 2014-2015 · Architectural and engineering teams engaged to advance designs of individual buildings
THE UNIVERSITY OF EDINBURGH, Number 7 George Square,
Edinburgh, University of
Access. Page 8. Reception Page 8. Lifts. Page 9. Platform Lift. Page 9. Stairs, Page 10. Toilets, Page 11. The nearest railway line is at Waverley Station in the city Centre. The nearest bus stops are located
Copley Square : realizing its full potential
Haque, Reaz
1984-01-01T23:59:59.000Z
The objective of this study is to form a basis for realizing the full potential of Copley Square, and also to establish an approach to the issues of preservation and revitalization of historic urban squares. The objective ...
Surface Mean-Square Amplitudes of Vibration for Nacl
CHEN, TS; Alldredg, GP; Allen, Roland E.; WETTE, FWD.
1972-01-01T23:59:59.000Z
" in low-energy electron diffraction (LEED). In the present paper we report calculations of the mean-square ampli- tudes and mean-square velocities for the (100) surface of NaC1. We will distinguish the Na' and Cl ions by a la- bel w and use a label... expressions coth[If&o, (j)/2ks T] ~,(q) x coth h'tc (q) 'l B M? is the mass of an ion labeled by w, N is the number of values of the two-dimensional wave vec- tor q in the summation, P is a label which distin- guishes the different vibrational modes...
Greenhill, Catherine
vector space, with respect to a canonical basis, is called the exterior square of X. Note that all vectorAn algorithm for recognising the exterior square of a matrix Keywords: matrix, exterior square the exterior square of a matrix. The approach involves manipulation of the equations which relate the entries
,"Housing Units1","Average Square Footage Per Housing Unit",...
U.S. Energy Information Administration (EIA) Indexed Site
6 Average Square Footage of Mobile Homes, by Housing Characteristics, 2009" " Final" ,"Housing Units1","Average Square Footage Per Housing Unit",,,"Average Square Footage Per...
ROBOT CALIBRATION USING LEAST-SQUARES AND
Flanagan, Randy
ROBOT CALIBRATION USING LEAST-SQUARES AND P OLAR-DEC OMP O SITION FILTERING Gregory Ioannldes 1-axis robotic manipulators. The method proposed by the authors is based on a least-square estimation of the Yaskawa Motoman Robot was calibrated. The measurements of the Cartesian coordinates of points were
Elmo bumpy square plasma confinement device
Owen, L.W.
1985-01-01T23:59:59.000Z
The invention is an Elmo bumpy type plasma confinement device having a polygonal configuration of closed magnet field lines for improved plasma confinement. In the preferred embodiment, the device is of a square configuration which is referred to as an Elmo bumpy square (EBS). The EBS is formed by four linear magnetic mirror sections each comprising a plurality of axisymmetric assemblies connected in series and linked by 90/sup 0/ sections of a high magnetic field toroidal solenoid type field generating coils. These coils provide corner confinement with a minimum of radial dispersion of the confined plasma to minimize the detrimental effects of the toroidal curvature of the magnetic field. Each corner is formed by a plurality of circular or elliptical coils aligned about the corner radius to provide maximum continuity in the closing of the magnetic field lines about the square configuration confining the plasma within a vacuum vessel located within the various coils forming the square configuration confinement geometry.
Quantum Latin squares and unitary error bases
Benjamin Musto; Jamie Vicary
2015-04-10T23:59:59.000Z
In this paper we introduce quantum Latin squares, combinatorial quantum objects which generalize classical Latin squares, and investigate their applications in quantum computer science. Our main results are on applications to unitary error bases (UEBs), basic structures in quantum information which lie at the heart of procedures such as teleportation, dense coding and error correction. We present a new method for constructing a UEB from a quantum Latin square equipped with extra data. Developing construction techniques for UEBs has been a major activity in quantum computation, with three primary methods proposed: shift-and-multiply, Hadamard, and algebraic. We show that our new approach simultaneously generalizes the shift-and-multiply and Hadamard methods. Furthermore, we explicitly construct a UEB using our technique which we prove cannot be obtained from any of these existing methods.
Santhanam, Balu
Least Squares : MotivationLeast Squares : Motivation SDA/LMS assume a probabilistic model underlying the optimal filtering problem. SDA/LMS assume access to ensemble statistics and multiple realizations. SDA/LMS assume ergodicity in the absence of multiple realizations. SDA/LMS speed of convergence
The Group of symmetries of a square There are eight symmetries of a square
Smith, Karen E.
The Group of symmetries of a square There are eight symmetries of a square: e = no motion r1) a product of two of its subgroups? 5. How many different (non-isomorphic) groups of order eight can you) a = reflection over anti-diagonal (the line y = -x) Complete the Cayley Table for the dihedral group D4: e r1 r2
Least square fitting with one parameter less
Bernd A. Berg
2015-05-28T23:59:59.000Z
It is shown that whenever the multiplicative normalization of a fitting function is not known, least square fitting by $\\chi^2$ minimization can be performed with one parameter less than usual by converting the normalization parameter into a function of the remaining parameters and the data.
David Hume Tower George Square, Edinburgh
Edinburgh, University of
David Hume Tower George Square, Edinburgh EH8 9JX 0131 650 8295 http://www.ed.ac.uk/maps THE UNIVERSITY OF EDINBURGH DAVID HUME TOWER A GUIDE TO ACCESS AND FACILITIES #12;If you require this document the evacuation arrangements". #12;Disabled Access Guide for David Hume Tower Introduction DAVID HUME TOWER
Robust Least Square Semidefinite Programming with Applications
2013-07-14T23:59:59.000Z
Jul 13, 2013 ... In this paper, we consider a least square semidefinite programming problem .... and handling uncertainty, and has natural statistical interpretation. On .... of the paper, we use B(X, r) ? Sn to denote the closed ball centered at X ...
ROBOT CALIBRATION USING LEAST-SQUARES AND
Flanagan, Randy
ROBOT CALIBRATION USING LEAST-SQUARES AND P OLAR-DEC OMP O SITION FILTERING Gregory Ioannldes 1 This paper reports the experimental results of a novel method to calibrate geometric errors of multi of the Yaskawa Motoman Robot was calibrated. The measurements of the Cartesian coordinates of points were
INVERSE-SQUARE LAW TESTS 1 TESTS OF THE GRAVITATIONAL
Washington at Seattle, University of - Department of Physics, Electroweak Interaction Research Group
INVERSE-SQUARE LAW TESTS 1 TESTS OF THE GRAVITATIONAL INVERSE-SQUARE LAW E.G.Adelberger, B-1560 KEYWORDS: gravitation, experimental tests of inverse-square law, quantum gravity, extra dimensions ABSTRACT: We review recent experimental tests of the gravitational inverse-square law, and the wide variety
Principle of Least Squares Regression Equations Residuals Correlation and Regression
Watkins, Joseph C.
Principle of Least Squares Regression Equations Residuals Topic 3 Correlation and Regression Linear Regression I 1 / 15 #12;Principle of Least Squares Regression Equations Residuals Outline Principle of Least Squares Regression Equations Residuals 2 / 15 #12;Principle of Least Squares Regression Equations
Hybrid least squares multivariate spectral analysis methods
Haaland, David M. (Albuquerque, NM)
2002-01-01T23:59:59.000Z
A set of hybrid least squares multivariate spectral analysis methods in which spectral shapes of components or effects not present in the original calibration step are added in a following estimation or calibration step to improve the accuracy of the estimation of the amount of the original components in the sampled mixture. The "hybrid" method herein means a combination of an initial classical least squares analysis calibration step with subsequent analysis by an inverse multivariate analysis method. A "spectral shape" herein means normally the spectral shape of a non-calibrated chemical component in the sample mixture but can also mean the spectral shapes of other sources of spectral variation, including temperature drift, shifts between spectrometers, spectrometer drift, etc. The "shape" can be continuous, discontinuous, or even discrete points illustrative of the particular effect.
The Spanish Square Kilometre Array White Book
Pulido, J A Acosta; Alberdi, A; Alcolea, J; Alfaro, E J; Alonso-Herrero, A; Anglada, G; Arnalte-Mur, P; Ascasibar, Y; Ascaso, B; Azulay, R; Bachiller, R; Baez-Rubio, A; Battaner, E; Blasco, J; Brook, C B; Bujarrabal, V; Busquet, G; Caballero-Garcia, M D; Carrasco-Gonzalez, C; Casares, J; Castro-Tirado, A J; Colina, L; Colomer, F; de Gregorio-Monsalvo, I; del Olmo, A; Desmurs, J-F; Diego, J M; Dominguez-Tenreiro, R; Estalella, R; Fernandez-Soto, A; Florido, E; Font, J; Font, J A; Fuente, A; Garcia-Burillo, S; Garcia-Benito, R; Garcia-Lorenzo, B; de Paz, A Gil; Girart, J M; Goicoechea, J R; Gomez, J F; Gonzalez-Garcia, M; Gonzalez-Martin, O; Gonzalez-Serrano, J I; Gorgas, J; Gorosabel, J; Guijarro, A; Guirado, J C; Hernandez-Garcia, L; Hernandez-Monteagudo, C; Herranz, D; Herrero-Illana, R; Hu, Y-D; Huelamo, N; Huertas-Company, M; Iglesias-Paramo, J; Jeong, S; Jimenez-Serra, I; Knapen, J H; Lineros, R A; Lisenfeld, U; Marcaide, J M; Marquez, I; Marti, J; Marti, J M; Martinez-Gonzalez, E; Martin-Pintado, J; Marti-Vidal, I; Masegosa, J; Mayen-Gijon, J M; Mezcua, M; Mimica, S/ Migliari P; Moldon, J; Morata, O; Negueruela, I; Oates, S R; Osorio, M; Palau, A; Paredes, J M; Perea, J; Perez-Gonzalez, P G; Perez-Montero, E; Perez-Torres, M A; Perucho, M; Planelles, S; Pons, J A; Prieto, A; Quilis, V; Ramirez-Moreta, P; Almeida, C Ramos; Rea, N; Ribo, M; Rioja, M J; Espinosa, J M Rodriguez; Ros, E; Rubiño-Martin, J A; Ruiz-Granados, B; Sabater, J; Sanchez, M A P; Usero, A; Verdes-Montenegro, L; Vidal-Garcia, A; Vielva, P; Vilchez, J; Zhang, B-B
2015-01-01T23:59:59.000Z
The Square Kilometre Array (SKA) is called to revolutionise essentially all areas of Astrophysics. With a collecting area of about a square kilometre, the SKA will be a transformational instrument, and its scientific potential will go beyond the interests of astronomers. Its technological challenges and huge cost requires a multinational effort, and Europe has recognised this by putting the SKA on the roadmap of the European Strategy Forum for Research Infrastructures (ESFRI). The Spanish SKA White Book is the result of the coordinated effort of 119 astronomers from 40 different research centers. The book shows the enormous scientific interest of the Spanish astronomical community in the SKA and warrants an optimum scientific exploitation of the SKA by Spanish researchers, if Spain enters the SKA project.
Square Engineering Pvt Ltd | Open Energy Information
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasmaP a g eWorks -09-0018-CXNuonYucheng Xinyuan HeatSolkarRenewable Energy NationalValley PubSquare
Fast Combinatorial Algorithm for the Solution of Linearly Constrained Least Squares Problems
Van Benthem, Mark H. (Middletown, DE); Keenan, Michael R. (Albuquerque, NM)
2008-11-11T23:59:59.000Z
A fast combinatorial algorithm can significantly reduce the computational burden when solving general equality and inequality constrained least squares problems with large numbers of observation vectors. The combinatorial algorithm provides a mathematically rigorous solution and operates at great speed by reorganizing the calculations to take advantage of the combinatorial nature of the problems to be solved. The combinatorial algorithm exploits the structure that exists in large-scale problems in order to minimize the number of arithmetic operations required to obtain a solution.
Augmented Classical Least Squares Multivariate Spectral Analysis
Haaland, David M. (Albuquerque, NM); Melgaard, David K. (Albuquerque, NM)
2005-01-11T23:59:59.000Z
A method of multivariate spectral analysis, termed augmented classical least squares (ACLS), provides an improved CLS calibration model when unmodeled sources of spectral variation are contained in a calibration sample set. The ACLS methods use information derived from component or spectral residuals during the CLS calibration to provide an improved calibration-augmented CLS model. The ACLS methods are based on CLS so that they retain the qualitative benefits of CLS, yet they have the flexibility of PLS and other hybrid techniques in that they can define a prediction model even with unmodeled sources of spectral variation that are not explicitly included in the calibration model. The unmodeled sources of spectral variation may be unknown constituents, constituents with unknown concentrations, nonlinear responses, non-uniform and correlated errors, or other sources of spectral variation that are present in the calibration sample spectra. Also, since the various ACLS methods are based on CLS, they can incorporate the new prediction-augmented CLS (PACLS) method of updating the prediction model for new sources of spectral variation contained in the prediction sample set without having to return to the calibration process. The ACLS methods can also be applied to alternating least squares models. The ACLS methods can be applied to all types of multivariate data.
Augmented Classical Least Squares Multivariate Spectral Analysis
Haaland, David M. (Albuquerque, NM); Melgaard, David K. (Albuquerque, NM)
2005-07-26T23:59:59.000Z
A method of multivariate spectral analysis, termed augmented classical least squares (ACLS), provides an improved CLS calibration model when unmodeled sources of spectral variation are contained in a calibration sample set. The ACLS methods use information derived from component or spectral residuals during the CLS calibration to provide an improved calibration-augmented CLS model. The ACLS methods are based on CLS so that they retain the qualitative benefits of CLS, yet they have the flexibility of PLS and other hybrid techniques in that they can define a prediction model even with unmodeled sources of spectral variation that are not explicitly included in the calibration model. The unmodeled sources of spectral variation may be unknown constituents, constituents with unknown concentrations, nonlinear responses, non-uniform and correlated errors, or other sources of spectral variation that are present in the calibration sample spectra. Also, since the various ACLS methods are based on CLS, they can incorporate the new prediction-augmented CLS (PACLS) method of updating the prediction model for new sources of spectral variation contained in the prediction sample set without having to return to the calibration process. The ACLS methods can also be applied to alternating least squares models. The ACLS methods can be applied to all types of multivariate data.
Augmented classical least squares multivariate spectral analysis
Haaland, David M.; Melgaard, David K.
2004-02-03T23:59:59.000Z
A method of multivariate spectral analysis, termed augmented classical least squares (ACLS), provides an improved CLS calibration model when unmodeled sources of spectral variation are contained in a calibration sample set. The ACLS methods use information derived from component or spectral residuals during the CLS calibration to provide an improved calibration-augmented CLS model. The ACLS methods are based on CLS so that they retain the qualitative benefits of CLS, yet they have the flexibility of PLS and other hybrid techniques in that they can define a prediction model even with unmodeled sources of spectral variation that are not explicitly included in the calibration model. The unmodeled sources of spectral variation may be unknown constituents, constituents with unknown concentrations, nonlinear responses, non-uniform and correlated errors, or other sources of spectral variation that are present in the calibration sample spectra. Also, since the various ACLS methods are based on CLS, they can incorporate the new prediction-augmented CLS (PACLS) method of updating the prediction model for new sources of spectral variation contained in the prediction sample set without having to return to the calibration process. The ACLS methods can also be applied to alternating least squares models. The ACLS methods can be applied to all types of multivariate data.
1Machine Learning, to appear. Least-Squares Independence Regression
Sugiyama, Masashi
1Machine Learning, to appear. Least-Squares Independence Regression for Non-Linear Causal Inference of Technology, Japan. sesejun@cs.titech.ac.jp Abstract The discovery of non-linear causal relationship under Causal inference, Non-Linear, Non-Gaussian, Squared-loss mutual information, Least-Squares Independence
March 2, 2015 Lecture 9 Least Square Problems
Sleijpen, Gerard
-inverse of A. In particular, the minimal norm minimal residual solution exists. (d) Damped least squares: b to the ones of the original matrix? (b) Explain why the damped least squares problem is less sensitive to noise. (c) The error in x in the damped least square problem (with noise on b) has two components, one
O. V. Veko; V. M. Red'kov
2015-01-25T23:59:59.000Z
It is shown that the known method to solve the Dirac equation by means of the squaring method, when relying on the scalar function of the form \\Phi = e^{-i\\epsilon t} e^{ik_{1} x} e^{ik_{2} y} \\sin (kz + \\alpha) leads to a 4-dimensional space of the Dirac solutions. It is shown that so constructed basis is equivalent to the space of the Dirac states relied on the use of quantum numbers k_{1}, k_{2}, \\pm k and helicity operator; linear transformations relating these two spaces are found. Application of the squaring method substantially depends on the choice of representation for the Dirac matrices, some features of this are considered. Peculiarities of applying the squaring method in Majorana representation are investigated as well. The constructed bases are relevant to describe the Casimir effect for Dirac and Weyl fields in the domain restricted by two planes.
Classical least squares multivariate spectral analysis
Haaland, David M. (Albuquerque, NM)
2002-01-01T23:59:59.000Z
An improved classical least squares multivariate spectral analysis method that adds spectral shapes describing non-calibrated components and system effects (other than baseline corrections) present in the analyzed mixture to the prediction phase of the method. These improvements decrease or eliminate many of the restrictions to the CLS-type methods and greatly extend their capabilities, accuracy, and precision. One new application of PACLS includes the ability to accurately predict unknown sample concentrations when new unmodeled spectral components are present in the unknown samples. Other applications of PACLS include the incorporation of spectrometer drift into the quantitative multivariate model and the maintenance of a calibration on a drifting spectrometer. Finally, the ability of PACLS to transfer a multivariate model between spectrometers is demonstrated.
Hybrid least squares multivariate spectral analysis methods
Haaland, David M.
2004-03-23T23:59:59.000Z
A set of hybrid least squares multivariate spectral analysis methods in which spectral shapes of components or effects not present in the original calibration step are added in a following prediction or calibration step to improve the accuracy of the estimation of the amount of the original components in the sampled mixture. The hybrid method herein means a combination of an initial calibration step with subsequent analysis by an inverse multivariate analysis method. A spectral shape herein means normally the spectral shape of a non-calibrated chemical component in the sample mixture but can also mean the spectral shapes of other sources of spectral variation, including temperature drift, shifts between spectrometers, spectrometer drift, etc. The shape can be continuous, discontinuous, or even discrete points illustrative of the particular effect.
2-D weighted least-squares phase unwrapping
Ghiglia, Dennis C. (Placitas, NM); Romero, Louis A. (Albuquerque, NM)
1995-01-01T23:59:59.000Z
Weighted values of interferometric signals are unwrapped by determining the least squares solution of phase unwrapping for unweighted values of the interferometric signals; and then determining the least squares solution of phase unwrapping for weighted values of the interferometric signals by preconditioned conjugate gradient methods using the unweighted solutions as preconditioning values. An output is provided that is representative of the least squares solution of phase unwrapping for weighted values of the interferometric signals.
2-D weighted least-squares phase unwrapping
Ghiglia, D.C.; Romero, L.A.
1995-06-13T23:59:59.000Z
Weighted values of interferometric signals are unwrapped by determining the least squares solution of phase unwrapping for unweighted values of the interferometric signals; and then determining the least squares solution of phase unwrapping for weighted values of the interferometric signals by preconditioned conjugate gradient methods using the unweighted solutions as preconditioning values. An output is provided that is representative of the least squares solution of phase unwrapping for weighted values of the interferometric signals. 6 figs.
FIRST-ORDER SYSTEM LEAST SQUARES FOR SECOND-ORDER ...
convection–diffusion–reaction equations in a unified way and also admits an efficient. multilevel solver, historically a missing ingredient in least-squares ...
ON LEAST SQUARES EUCLIDEAN DISTANCE MATRIX APPROXIMATION AND COMPLETION
in biological or engineering applications, including molecular structure analysis, protein folding problem. distance geometry, least squares approximation, matrix completion, molecular structure, protein folding
Derivation of the coefficient squared probability law in quantum mechanics
Casey Blood
2013-06-02T23:59:59.000Z
If one assumes there is probability of perception in quantum mechanics, then unitarity dictates that it must have the coefficient squared form, in agreement with experiment.
Extended Kalman Filter Using a Kernel Recursive Least Squares Observer
Slatton, Clint
Extended Kalman Filter Using a Kernel Recursive Least Squares Observer Pingping Zhu, Badong Chen estimation problem combining the extended Kalman filter (EKF) with a kernel recursive least squares (KRLS Kalman filter, EKF and KRLS algorithms. Results demonstrate that the performance of the EKF
JITTER COMPENSATION IN SAMPLING VIA POLYNOMIAL LEAST SQUARES ESTIMATION
Goyal, Vivek K
JITTER COMPENSATION IN SAMPLING VIA POLYNOMIAL LEAST SQUARES ESTIMATION Daniel S. Weller and Vivek Science Email: {dweller, vgoyal}@mit.edu ABSTRACT Sampling error due to jitter, or noise in the sample independent jitter and additive noise, as an alternative to the linear least squares (LLS) estimator. After
The Parents of Jacobi's Four Squares Theorem Are Unique
Williams, Kenneth Stuart
The Parents of Jacobi's Four Squares Theorem Are Unique Kenneth S. Williams Abstract. Jacobi's four-to-sum identities in a single complex variable q from which Jacobi's four squares formula can be deduced by equating such identities are known. Perhaps the most famous product-to-sum identity was given by Jacobi in 1829, in his
Random Disease on the Square Grid J ozsef Balogh
Balogh, Jozsef
a disease process. The initial configuration is called contagious or successful if the corresponding) squares in a contagious configuration. The solution of the initial exercise is the following: Fact. [Folklore] G(n) = n. Proof. If we paint the squares of a diagonal black, it will be a contagious
LEAST-SQUARES FINITE ELEMENT METHODS FOR OPTIMALITY SYSTEMS ARISING
Bochev, Pavel
LEAST-SQUARES FINITE ELEMENT METHODS FOR OPTIMALITY SYSTEMS ARISING IN OPTIMIZATION AND CONTROL control problems for systems governed by linear, elliptic partial differential equations is considered modern least-squares finite element methods for the solution of the optimality systems. The matrix equa
Characterization of some binary words with few squares Golnaz Badkobeha
Ochem, Pascal
Characterization of some binary words with few squares Golnaz Badkobeha , Pascal Ochemb a smaller morphisms to define these two square-free morphic words and we give such characterizations for six of patterns, and a finite set F of factors over k, we say that P F characterizes a morphic word w over k if w
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article)41cloth Documentation DataDepartment of EnergyOn-Farm1 ofCategoricalDynamicTheoryMessagefor6-02-01 FederalChange NumberE
Caldarelli, Guido
Widespread occurrence of the inverse square distribution in social sciences and taxonomy GuidoRevE.69.035101 PACS number s : 89.75.Fb, 89.75.Hc, 05.40. a, 05.65. b Taxonomy is one of the major
Wang, B; Gao, C; Bai, Y; Dong, J W; Wang, L J
2015-01-01T23:59:59.000Z
The Square Kilometer Array (SKA) is an international effort to build the world's largest radio telescope, with one square kilometer collecting area. Besides its ambitious scientific objectives, such as probing the cosmic dawn and cradle of life, SKA also demands several revolutionary technological breakthroughs, with ultra-high precision synchronisation of the frequency references for thousands of antennas being one of them. In this report, aimed at applications to SKA, we demonstrate a frequency reference synchronization and dissemination scheme with the phase noise compensation function placed at the client site. Hence, one central hub can be linked to a large number of client sites, forming a star-shaped topology. As a performance test, the 100 MHz reference signal from a Hydrogen maser clock is disseminated and recovered at two remote sites. Phase noise characteristics of the recovered reference frequency signal coincides with that of the hydrogen-maser source and satisfies SKA requirement.
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article)41cloth Documentation DataDepartment of EnergyOn-Farm1 ofCategoricalDynamicTheoryMessagefor6-02-01 FederalChange Number
Community, space, and performance : a public stage in Central Square
De Sola, David Theodore
1995-01-01T23:59:59.000Z
In this thesis I strive to explore the question, "what is good architecture?" through the design of a facility for formal and informal musical and theatrical performance. The site for this project is in Central Square, ...
Jitter compensation in sampling via polynomial least squares estimation
Weller, Daniel Stuart
Sampling error due to jitter, or noise in the sample times, affects the precision of analog-to-digital converters in a significant, nonlinear fashion. In this paper, a polynomial least squares (PLS) estimator is derived ...
An improved method for weighted least squares IIR filter design
Davila-Pazmino, Javier
1999-01-01T23:59:59.000Z
Recently, a new method for IIR weighted least squares filter design has been proposed. In this method, the problem of approximating a desired frequency response using a rational function is solved using an iterative approach. After studying...
Recollecting history : songs, flags and a Syrian square
Sergie, Lina, 1974-
2003-01-01T23:59:59.000Z
Symbols have played a major role in the development of a Syrian national identity since the beginning of the 20th century. These representations are national, official, and/or public (flag, song, and square), that are ...
Tests of the Gravitational Inverse-Square Law
E. G. Adelberger; B. R. Heckel; A. E. Nelson
2003-07-22T23:59:59.000Z
We review recent experimental tests of the gravitational inverse-square law and the wide variety of theoretical considerations that suggest the law may break down in experimentally accessible regions.
Least Soft-thresold Squares Tracking Dalian University of Technology
Yang, Ming-Hsuan
Least Soft-thresold Squares Tracking Dong Wang Dalian University of Technology wangdong.ice@gmail.com Huchuan Lu Dalian University of Technology lhchuan@dlut.edu.cn Ming-Hsuan Yang University of California
An improved method for weighted least squares IIR filter design
Davila-Pazmino, Javier
1999-01-01T23:59:59.000Z
Recently, a new method for IIR weighted least squares filter design has been proposed. In this method, the problem of approximating a desired frequency response using a rational function is solved using an iterative approach. After studying...
Dutta, S. [Univ. of South Carolina, Columbia, SC (United States); Han, J.C. [Texas A& M Univ., College Station, TX (United States)
1996-08-01T23:59:59.000Z
This paper presents experimental heat transfer results in a two-pass square channel with smooth and ribbed surfaces. The ribs are placed in a staggered half-V fashion with the rotation orthogonal to the channel axis. The channel orientation varies with respect to the rotation plane. A change in the channel orientation about the rotating frame causes a change in the secondary flow structure and associated flow and turbulence distribution. Consequently, the heat transfer coefficient from the individual surfaces of the two-pass square channel changes. The effects of rotation number on local Nusselt number ratio distributions are presented. Heat transfer coefficients with ribbed surfaces show different characteristics in rotation number dependency from those with smooth surfaces. Results show that staggered half-V ribs mostly have higher heat transfer coefficients than those with 90 and 60 deg continuous ribs. 16 refs., 10 figs.
A Least-Squares Transport Equation Compatible with Voids
Jon Hansen; Jacob Peterson; Jim Morel; Jean Ragusa; Yaqi Wang
2014-09-01T23:59:59.000Z
Standard second-order self-adjoint forms of the transport equation, such as the evenparity, odd-parity, and self-adjoint angular flux equation, cannot be used in voids. Perhaps more important, they experience numerical convergence difficulties in near-voids. Here we present a new form of a second-order self-adjoint transport equation that has an advantage relative to standard forms in that it can be used in voids or near-voids. Our equation is closely related to the standard least-squares form of the transport equation with both equations being applicable in a void and having a nonconservative analytic form. However, unlike the standard least-squares form of the transport equation, our least-squares equation is compatible with source iteration. It has been found that the standard least-squares form of the transport equation with a linear-continuous finite-element spatial discretization has difficulty in the thick diffusion limit. Here we extensively test the 1D slab-geometry version of our scheme with respect to void solutions, spatial convergence rate, and the intermediate and thick diffusion limits. We also define an effective diffusion synthetic acceleration scheme for our discretization. Our conclusion is that our least-squares Sn formulation represents an excellent alternative to existing second-order Sn transport formulations
Organic light-emitting diodes from homoleptic square planar complexes
Omary, Mohammad A
2013-11-12T23:59:59.000Z
Homoleptic square planar complexes [M(N.LAMBDA.N).sub.2], wherein two identical N.LAMBDA.N bidentate anionic ligands are coordinated to the M(II) metal center, including bidentate square planar complexes of triazolates, possess optical and electrical properties that make them useful for a wide variety of optical and electrical devices and applications. In particular, the complexes are useful for obtaining white or monochromatic organic light-emitting diodes ("OLEDs"). Improved white organic light emitting diode ("WOLED") designs have improved efficacy and/or color stability at high brightness in single- or two-emitter white or monochrome OLEDs that utilize homoleptic square planar complexes, including bis[3,5-bis(2-pyridyl)-1,2,4-triazolato]platinum(II) ("Pt(ptp).sub.2").
Majority-vote model with heterogeneous agents on square lattice
Lima, F W S
2013-01-01T23:59:59.000Z
We study a nonequilibrium model with up-down symmetry and a noise parameter $q$ known as majority-vote model of M.J. Oliveira 1992 with heterogeneous agents on square lattice. By Monte Carlo simulations and finite-size scaling relations the critical exponents $\\beta/\
An Oblivious Transfer Protocol with Log-Squared Communication
International Association for Cryptologic Research (IACR)
An Oblivious Transfer Protocol with Log-Squared Communication Helger Lipmaa 1 Cybernetica AS, Lai 6-computation and communication (k Â· log2 n + Â· log n), where k is a possibly non-constant security parameter. The new proto- col communication and is private in the standard complexity-theoretic model. Keywords. Computationally
An Oblivious Transfer Protocol with LogSquared Communication
International Association for Cryptologic Research (IACR)
An Oblivious Transfer Protocol with LogÂSquared Communication Helger Lipmaa 1 Cybernetica AS, Lai 6Âcomputation and communication #(k Â· log 2 n + # Â· log n), where k is a possibly nonÂconstant security parameter. The new proto the same asymptotic communication and is private in the standard complexityÂtheoretic model. Keywords
Rectilinear Glass-Cut Dissections of Rectangles to Squares
Urrutia, Jorge
Rectilinear Glass-Cut Dissections of Rectangles to Squares Jurek CzyzowiczÂ§ czyzowic is made using only rectilinear glass-cuts, i.e., vertical or horizontal straight-line cuts separating pieces into two. 1 Introduction A glass-cut of a rectangle is a cut by a straight-line segment
Estimation of Groundwater Flow Parameters Using Least Squares
Estimation of Groundwater Flow Parameters Using Least Squares K.R. Bailey \\Lambda , B state flow parameters in a groundwater model. We test the approach on numerically generated data algorithm is implemented in parallel using PVM. 1 Introduction The successful modeling of groundwater flow
Latin-square three-dimensional gage master
Jones, L.
1981-05-12T23:59:59.000Z
A gage master for coordinate measuring machines has an nxn array of objects distributed in the Z coordinate utilizing the concept of a Latin square experimental design. Using analysis of variance techniques, the invention may be used to identify sources of error in machine geometry and quantify machine accuracy.
Proton root-mean-square radii and electron scattering
Ingo Sick; Dirk Trautmann
2014-07-07T23:59:59.000Z
The standard procedure of extracting the proton root-mean-square radii from models for the Sachs form factors $G_e (q)$ and $G_m (q)$ fitted to elastic electron-proton scattering data %has a serious flaw. is more uncertain than traditionally assumed. The extrapolation of $G(q)$, from the region $q_{min} reliable $rms$-radii be determined.
Fast Bootstrap for Least-square Support Vector Machines
Verleysen, Michel
Fast Bootstrap for Least-square Support Vector Machines A. Lendasse1 , G. Simon2 , V. Wertz3 , M, CESAME, 4 av. G. Lemaître B-1348 Louvain-la-Neuve, Belgium, wertz@auto.ucl.ac.be. Abstract. The Bootstrap of the Bootstrap implies a high computational load. In this paper we present a simple procedure to obtain a fast
Three-state majority-vote model on square lattice
Lima, F W S
2011-01-01T23:59:59.000Z
Here, the model of non-equilibrium model with two states ($-1,+1$) and a noise $q$ on simple square lattices proposed for M.J. Oliveira (1992) following the conjecture of up-down symmetry of Grinstein and colleagues (1985) is studied and generalized. This model is well-known, today, as Majority-Vote Model. They showed, through Monte Carlo simulations, that their obtained results fall into the universality class of the equilibrium Ising model on a square lattice. In this work, we generalize the Majority-Vote Model for a version with three states, now including the zero state, ($-1,0,+1$) in two dimensions. Using Monte Carlo simulations, we showed that our model falls into the universality class of the spin-1 ($-1,0,+1$) and spin-1/2 Ising model and also agree with Majority-Vote Model proposed for M.J. Oliveira (1992) . The exponents ratio obtained for our model was $\\gamma/\
Optimization of the geometrical stability in square ring laser gyroscopes
R. Santagata; A. Beghi; J. Belfi; N. Beverini; D. Cuccato; A. Di Virgilio; A. Ortolan; A. Porzio; S. Solimeno
2014-11-12T23:59:59.000Z
Ultra sensitive ring laser gyroscopes are regarded as potential detectors of the general relativistic frame-dragging effect due to the rotation of the Earth: the project name is GINGER (Gyroscopes IN GEneral Relativity), a ground-based triaxial array of ring lasers aiming at measuring the Earth rotation rate with an accuracy of 10^-14 rad/s. Such ambitious goal is now within reach as large area ring lasers are very close to the necessary sensitivity and stability. However, demanding constraints on the geometrical stability of the laser optical path inside the ring cavity are required. Thus we have started a detailed study of the geometry of an optical cavity, in order to find a control strategy for its geometry which could meet the specifications of the GINGER project. As the cavity perimeter has a stationary point for the square configuration, we identify a set of transformations on the mirror positions which allows us to adjust the laser beam steering to the shape of a square. We show that the geometrical stability of a square cavity strongly increases by implementing a suitable system to measure the mirror distances, and that the geometry stabilization can be achieved by measuring the absolute lengths of the two diagonals and the perimeter of the ring.
Augmented heat transfer in square channels with parallel, crossed, and V-shaped angled ribs
Han, J.C.; Zhang, Y.M. (Texas A and M Univ., College Station (United States)); Lee, C.P. (General Electric Co., Cincinnati, OH (United States))
1991-08-01T23:59:59.000Z
The effect of the rib angle orientation on the local heat transfer distributions and pressure drop in a square channel with two opposite in-line ribbed walls was investigated for Reynolds numbers from 15,000 to 90,000. The square channel composed of ten isolated copper sections has a length-to-hydraulic diameter ratio of 20; the rib height-to-hydraulic diameter ratio is 0.0625; the rib pitch-to-height ratio equals 10. Nine rib configurations were studied: 90 deg rib, 60 and 45 deg parallel ribs, 60 and 45 deg crossed ribs, 60 and 45 deg V-shaped ribs, and 60 and 45 deg {Lambda}-shaped ribs. The results show that the 60 deg (or 45 deg) V-shaped rib performs better than the 60 deg (or 45 deg) parallel rib and, subsequently, better than the 60 deg (or 45 deg) crossed rib and the 90 deg rib. The V-shaped rib produces the highest heat transfer augmentation, while the {Lambda}-shaped rib generates the greatest pressure drop. The crossed rib has the lowest heat transfer enhancement and the smallest pressure drop penalty.
Frankfort Square, Illinois: Energy Resources | Open Energy Information
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasmaP aCentrothermDepew, New York:Essex County,sourcesourceFour CornersFrancestown,Frankfort Square,
A Least-Squares Transport Equation Compatible with Voids
Hansen, Jon
2014-04-22T23:59:59.000Z
. DERIVATION OF EQUATION Let us begin the derivation of our least-squares equation with the first-order monoenergetic transport equation, L? = S? + q 4pi = ?s?+ q 4pi = Q , (2.1) where ? (n/cm2-s-str) is the angular flux, ? (n/cm2-s) is the scalar flux defined... by ? = ? 4pi ? d?, q (n/cm 3-s) is the distributed source, and L is the streaming plus removal operator, L = ?? ? · ?? ? + ?t , (2.2) S is the scattering operator, S = ?s 4pi ? 4pi d? , (2.3) ?t (cm?1) denotes the macroscopic total cross section and ?s...
Numerical solution of the linear least squares problem for splines
Vonderhaar, Thomas Jerome
1975-01-01T23:59:59.000Z
) Ci?. . &: , i ~ '(8'??. (Member) (Member) May 1975 ABSTRACT Numerical Solution of the Linear Least Squares Problem for Splines. (May 1975) Thomas Jerome Vonderhaar B. A. , Lewis University Chairman of Advisory Committee: Dr. Philip W. Smith... in the preparation of this thesis. I would also like to thank Dr. C. K. Chui and Dr. R. D. Larsen for serving on my committee. My sincere gratitude goes to Myra McWatt for her understanding and moral support during the completion of this paper. TABLE OF CONTENTS...
MC Squared Energy Services, LLC | Open Energy Information
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasmaP a g eWorks -09-0018-CX JumpShun DaSilicon CoCalifornia)EnergyLowJinmanMC Squared Energy Services, LLC
A Least-Squares Transport Equation Compatible with Voids
Hansen, Jon
2014-04-22T23:59:59.000Z
stream_source_info HANSEN-THESIS-2014.pdf.txt stream_content_type text/plain stream_size 57029 Content-Encoding UTF-8 stream_name HANSEN-THESIS-2014.pdf.txt Content-Type text/plain; charset=UTF-8 A LEAST...-SQUARES TRANSPORT EQUATION COMPATIBLE WITH VOIDS A Thesis by JON HANSEN Submitted to the Office of Graduate and Professional Studies of Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Chair of Committee, Jim E...
15 Squares mod p Fix a prime p.
Ramakrishnan, Dinakar
15 Squares mod p Fix a prime p. Basic question: Given a, how can we determine if #b # Z such that a # b 2 (mod p)? Trivial case if p|a, take b # 0. So from now on take (a, p) = 1. p=3 p=5 p=7 x x 2 x x 2 x x 2 1 1 1 1 1 1 2 1 2 1 2 4 3 1 4 2 1=4 1 5 4 6 1 1 # d p 1, 4 as mod 5 1, 2, 4 as mod p 2
15 Squares mod p Fix a prime p.
Ramakrishnan, Dinakar
15 Squares mod p Fix a prime p. Basic question: Given a, how can we determine if b Z such that a b2 (mod p)? Trivial case if p|a, take b 0. So from now on take (a, p) = 1. p=3 p=5 p=7 x x2 x x2 x x2 1 1 1 1 1 1 2 1 2 -1 2 4 3 -1 4 2 -1=4 1 5 4 6 1 1 dp 1, 4 as mod 5 1, 2, 4 as mod p 2 2, 3 3
Control and Optimization of Vapor Compression Cycles Using Recursive Least Squares Estimation
Rani, Avinash
2012-10-19T23:59:59.000Z
....................................................................................................... 22 Data Acquisition .............................................................................................. 25 III DYNAMIC ANALYSIS OF WATER CHILLER SYSTEM ........................ 26 System Identification Theory... ......................................................................... 26 Frequency Response of Experimental System. ............................................ 31 IV RECURSIVE LEAST SQUARES THEORY ................................................ 34 Application of Recursive Least Squares Algorithm...
Least squares based finite element formulations and their applications in fluid mechanics
Prabhakar, Vivek
2009-05-15T23:59:59.000Z
In this research, least-squares based finite element formulations and their applications in fluid mechanics are presented. Least-squares formulations offer several computational and theoretical advantages for Newtonian as well as non-Newtonian fluid...
Faraday rotation data analysis with least-squares elliptical fitting
White, Adam D.; McHale, G. Brent; Goerz, David A.; Speer, Ron D. [Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
2010-10-15T23:59:59.000Z
A method of analyzing Faraday rotation data from pulsed magnetic field measurements is described. The method uses direct least-squares elliptical fitting to measured data. The least-squares fit conic parameters are used to rotate, translate, and rescale the measured data. Interpretation of the transformed data provides improved accuracy and time-resolution characteristics compared with many existing methods of analyzing Faraday rotation data. The method is especially useful when linear birefringence is present at the input or output of the sensing medium, or when the relative angle of the polarizers used in analysis is not aligned with precision; under these circumstances the method is shown to return the analytically correct input signal. The method may be pertinent to other applications where analysis of Lissajous figures is required, such as the velocity interferometer system for any reflector (VISAR) diagnostics. The entire algorithm is fully automated and requires no user interaction. An example of algorithm execution is shown, using data from a fiber-based Faraday rotation sensor on a capacitive discharge experiment.
Spatial autocorrelation approaches to testing residuals from least squares regression
Chen, Yanguang
2015-01-01T23:59:59.000Z
In statistics, the Durbin-Watson test is always employed to detect the presence of serial correlation of residuals from a least squares regression analysis. However, the Durbin-Watson statistic is only suitable for ordered time or spatial series. If the variables comprise cross-sectional data coming from spatial random sampling, the Durbin-Watson will be ineffectual because the value of Durbin-Watson's statistic depends on the sequences of data point arrangement. Based on the ideas from spatial autocorrelation, this paper presents two new statistics for testing serial correlation of residuals from least squares regression based on spatial samples. By analogy with the new form of Moran's index, an autocorrelation coefficient is defined with a standardized residual vector and a normalized spatial weight matrix. Then on the analogy of the Durbin-Watson statistic, a serial correlation index is constructed. As a case, the two statistics are applied to the spatial sample of 29 China's regions. These results show th...
An algorithm for recognising the exterior square of a Catherine Greenhill
Greenhill, Catherine
the motivating case of multisets of eigenvalues of matrices. 1 Introduction The exterior square of a vector space of X on the exterior square of the underlying vector space. This relationship is fully determinedAn algorithm for recognising the exterior square of a multiset Catherine Greenhill School
Morrow, James A.
and compass Nick Janetos June 3, 2010 1 Introduction It has been found that a circular area is to the square are to do the following using only a compass and a straightedge: 1. To "square the circle": Given a circle) are provided. In section 2 we will examine the process of constructing numbers using a compass and straightedge
A Least-Squares Finite Element Approximation for the Compressible ...
Parke Shissler (TAPSCO #4) 2492 1998 Jan 21 15:41:27
1999-11-11T23:59:59.000Z
Contract grant sponsor: National Science Foundation; contract grant number: DMS-961972 c© 2000 John Wiley & Sons, Inc. CCC 0749-159X/00/010062-09 ...
Least Squares Shadowing sensitivity analysis of chaotic limit cycle oscillations
Wang, Qiqi, E-mail: qiqi@mit.edu; Hu, Rui, E-mail: hurui@mit.edu; Blonigan, Patrick, E-mail: blonigan@mit.edu
2014-06-15T23:59:59.000Z
The adjoint method, among other sensitivity analysis methods, can fail in chaotic dynamical systems. The result from these methods can be too large, often by orders of magnitude, when the result is the derivative of a long time averaged quantity. This failure is known to be caused by ill-conditioned initial value problems. This paper overcomes this failure by replacing the initial value problem with the well-conditioned “least squares shadowing (LSS) problem”. The LSS problem is then linearized in our sensitivity analysis algorithm, which computes a derivative that converges to the derivative of the infinitely long time average. We demonstrate our algorithm in several dynamical systems exhibiting both periodic and chaotic oscillations.
1 -Routing Number 2 -Account Number
Chen, Yiling
you will need: · Your Harvard University Id Number (HUID) · Your HUID pin number · Your Checking/Savings on the right side of the screen under Payroll and Compensation. #12;*Please, in an effort to save paper and if you do not wish to receive a paper copy of the check. Click the small box above the SAVE button. CLICK
Compass, Square and Swastika: Freemasonry in the Third Reich
Thomas, Christopher Campbell
2011-10-21T23:59:59.000Z
Nazi persecution was not uniform and could be negotiated by the groups being targeted based on a number of factors including the racial status of the group being persecuted, the willingness of the group members to cooperate ...
The Square Kilometre Array: A new probe of cosmic magnetism
Bryan M. Gaensler
2006-03-02T23:59:59.000Z
Magnetic fields are a fundamental part of many astrophysical phenomena, but the evolution, structure and origin of magnetic fields are still unresolved problems in physics and astrophysics. When and how were the first fields generated? Are present-day magnetic fields the result of standard dynamo action, or do they represent rapid or recent field amplification through other processes? What role do magnetic fields play in turbulence, cosmic ray acceleration and structure formation? I explain how the Square Kilometre Array (SKA), a next-generation radio telescope, can deliver stunning new data-sets that will address these currently unanswered issues. The foundation for these experiments will be an all-sky survey of rotation measures, in which Faraday rotation toward >10^7 background sources will provide a dense grid for probing magnetism in the Milky Way, nearby galaxies, and in distant galaxies, clusters and protogalaxies. Using these data, we can map out the evolution of magnetized structures from redshifts z > 3 to the present, can distinguish between different origins for seed magnetic fields in galaxies, and can develop a detailed model of the magnetic field geometry of the intergalactic medium and of the overall Universe. In addition, the SKA will certainly discover new magnetic phenomena beyond what we can currently predict or imagine.
Science With The Australian Square Kilometre Array Pathfinder
Simon Johnston
2007-11-14T23:59:59.000Z
The future of cm and m-wave astronomy lies with the Square Kilometre Array (SKA), a telescope under development by a consortium of 17 countries that will be 50 times more sensitive than any existing radio facility. Most of the key science for the SKA will be addressed through large-area imaging of the Universe at frequencies from a few hundred MHz to a few GHz. The Australian SKA Pathfinder (ASKAP) is a technology demonstrator aimed in the mid-frequency range, and achieves instantaneous wide-area imaging through the development and deployment of phased-array feed systems on parabolic reflectors. The large field-of-view makes ASKAP an unprecedented synoptic telescope that will make substantial advances in SKA key science. ASKAP will be located at the Murchison Radio Observatory in inland Western Australia, one of the most radio-quiet locations on the Earth and one of two sites selected by the international community as a potential location for the SKA. In this paper, we outline an ambitious science program for ASKAP, examining key science such as understanding the evolution, formation and population of galaxies including our own, understanding the magnetic Universe, revealing the transient radio sky and searching for gravitational waves.
Componentwise Least Squares Support Vector K. Pelckmans1
, structure detection 1 Introduction Non-linear classification and function approximation is an important to solving linear KKT systems for classification tasks as well as regression. In (Suykens et al., 2002) LS of the additive model result in a single set of linear equations with size growing in the number of data
On Penrose's square-root law and beyond Werner Kirsch
. The number of people represented in the different states differs from about 400,000 for Malta to more than 82 on the size of the country they represent, e.g. 3 votes for Malta, 29 votes for Germany. The votes
Occupation number-based energy functional for nuclear masses
M. Bertolli; T. Papenbrock; S. Wild
2011-10-19T23:59:59.000Z
We develop an energy functional with shell-model occupations as the relevant degrees of freedom and compute nuclear masses across the nuclear chart. The functional is based on Hohenberg-Kohn theory with phenomenologically motivated terms. A global fit of the 17-parameter functional to nuclear masses yields a root-mean-square deviation of \\chi = 1.31 MeV. Nuclear radii are computed within a model that employs the resulting occupation numbers.
Recursive Total Least Squares: An Alternative to the Discrete Kalman Filter
Boley, Daniel
Recursive Total Least Squares: An Alternative to the Discrete Kalman Filter Daniel L. Boley The discrete Kalman lter, which is becoming a common tool for reducing uncertainty in robot navigation, su ers total least squares estimator (RTLS) as an alternative to the Kalman lter, and compare
Recursive Total Least Squares: An Alternative to Using the Discrete Kalman
Boley, Daniel
Recursive Total Least Squares: An Alternative to Using the Discrete Kalman Filter in Robot to ob- tain the best estimate of the robot position. The discrete Kalman filter, com- monly used the Kalman filter. To this end, we propose the use of a Recursive Total Least Squares Filter. This filter
Higher-Order Partial Least Squares (HOPLS): A Generalized Multi-Linear Regression Method
Cichocki, Andrzej
1 Higher-Order Partial Least Squares (HOPLS): A Generalized Multi-Linear Regression Method Qibin Regression (PLSR) - a multivariate method which, in contrast to Multiple Linear Regression (MLR. A standard way to optimize the model parameters is the Non- linear Iterative Partial Least Squares (NIPALS
Low-frequency square-wave electronic ballast with resonant ignition using digital mode and power
Low-frequency square-wave electronic ballast with resonant ignition using digital mode and power of Cantabria. Ave. de los Castros s/n 39005 Santander, SPAIN (2) Colorado Power Electronics Center Department square wave inverter for normal operation. Ignition is achieved by resonance when the converter
EXPERIMENTAL STUDY OF AXISYMMETRIC INSTABILITY OF INVERSE DEE AND SQUARE TOKAMAK EQUILIBRIA
Sprott, Julien Clinton
EXPERIMENTAL STUDY OF AXISYMMETRIC INSTABILITY OF INVERSE DEE AND SQUARE TOKAMAK EQUILIBRIA COO Study ofAxi.symmetric !nsta bUity of Inverse Dee and Square Tokamak Equilibria B. Lipschultz, S as a function of time in a tokamak with a 4-null poloidal d ivertor. Inverse dee equilibria are observed
The power and in uence in some Youden squares and secret sharing
Seberry, Jennifer
The power and in uence in some Youden squares and secret sharing Lakoa Fitina, Kenneth G Russell subsets of critical sets of some Youden squares in the context of secret sharing schemes. A subset C is inaccessible to subsets of a critical set C of Y , called the strongbox of C, may be thought to contain secret
ExaScale High Performance Computing in the Square Kilometer Array
van Nieuwpoort, Rob V.
ExaScale High Performance Computing in the Square Kilometer Array P. Chris Broekema, broekema project requires active and intensive involve- ment from both the high performance computing researchScale Computing, Square Kilometer Array, High Performance Computing, Streaming Computing 1. INTRODUCTION
PROGRESS ON A NEW EXPERIMENTAL TEST OF THE GRAVITATIONAL INVERSE-SQUARE LAW
Newman, Riley D.
1 PROGRESS ON A NEW EXPERIMENTAL TEST OF THE GRAVITATIONAL INVERSE-SQUARE LAW R.M. BONICALZI, P from an oscillating torsion-pendulum experiment searching for gravitational inverse square law Relativity, i.e. Newton's Law of Universal Gravitation. The experiment reported here is designed
Regression Analysis Using Weighted Least Squares Robert Drucker, University of Washington (May 1996)
Washington at Seattle, University of
Regression Analysis Using Weighted Least Squares Robert Drucker, University of Washington (May 1996) 1. Theory The jth order leastsquares regression problem can be stated in matrix notation as Y = Xb regression analysis assumes that the residuals are independent identically dis tributed (iid) random
Ordinary Least Square Regression, Orthogonal Regression, Geometric Mean Regression and their
Ordinary Least Square Regression, Orthogonal Regression, Geometric Mean Regression@notes.cc.sunysb.edu Abstract. Regression analysis, especially the ordinary least squares method which assumes that errors for both measurements. In this work, we examine two regression approaches available to accommodate
Multispecies weighted Hurwitz numbers
Harnad, J
2015-01-01T23:59:59.000Z
The construction of hypergeometric 2D Toda $\\tau$-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz numbers as weighted enumerations of branched coverings of the Riemann sphere and their combinatorial significance in terms of weighted paths in the Cayley graph of $S_n$ are derived. The particular case of multispecies quantum weighted Hurwitz numbers is studied in detail.
Curvature and Tachibana numbers
Stepanov, Sergey E [Finance Academy under the Government of the Russian Federation, Moscow (Russian Federation)
2011-07-31T23:59:59.000Z
The aim of this paper is to define the rth Tachibana number t{sub r} of an n-dimensional compact oriented Riemannian manifold as the dimension of the space of conformally Killing r-forms, for r=1,2,...,n-1. We also describe properties of these numbers, by analogy with properties of the Betti numbers b{sub r} of a compact oriented Riemannian manifold. Bibliography: 25 titles.
A. Yazdani; V. Nassehi
2011-01-10T23:59:59.000Z
This paper presents an optimum technique based on the least squares method for the derivation of the bubble functions to enrich the standard linear finite elements employed in the formulation of Galerkin weighted-residual statements. The element-level linear shape functions are enhanced with supplementary polynomial bubble functions with undetermined coefficients. The best least squares minimization of the residual functional obtained from the insertion of these trial functions into model equations results in an algebraic system of equations whose solution provides the unknown coefficients in terms of element-level nodal values. The normal finite element procedures for the construction of stiffness matrices may then be followed with no extra degree of freedom incurred as a result of such enrichment. The performance of the proposed method has been tested on a number of benchmark linear transport equations with the results compared against the exact and standard linear element solutions. It has been observed that low order bubble enriched elements produce more accurate approximations than the standard linear elements with no extra computational cost despite employing relatively crude mesh. However, for the solution of strongly convection or reaction dominated problems significantly higher order enrichments as well as extra mesh refinements will be required.
Global symmetries of Yang-Mills squared in various dimensions
Anastasiou, A; Hughes, M J; Nagy, S
2015-01-01T23:59:59.000Z
Tensoring two on-shell super Yang-Mills multiplets in dimensions $D\\leq 10$ yields an on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a (direct sum of) division algebra(s) $\\mathbb{D}$ with each dimension $3\\leq D\\leq 10$ we obtain formulae for the algebras $\\mathfrak{g}$ and $\\mathfrak{h}$ of the U-duality group $G$ and its maximal compact subgroup $H$, respectively, in terms of the internal global symmetry algebras of each super Yang-Mills theory. We extend our analysis to include supergravities coupled to an arbitrary number of matter multiplets by allowing for non-supersymmetric multiplets in the tensor product.
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
September 2002 Page 1 KPA Activity Number KPA Activity SEM Section SME Work Product SQSE Web Site http:cio.doe.govsqse REQUIREMENTS MANAGEMENT RM-1 The software engineering...
Width dependent transition of quantized spin-wave modes in Ni{sub 80}Fe{sub 20} square nanorings
Banerjee, Chandrima; Saha, Susmita; Barman, Saswati; Barman, Anjan, E-mail: abarman@bose.res.in [Thematic Unit of Excellence on Nanodevice Technology, Department of Condensed Matter Physics and Material Sciences, S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700098 (India); Rousseau, Olivier [CEMS-RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198 (Japan); Otani, YoshiChika [CEMS-RIKEN, 2-1 Hirosawa, Wako, Saitama 351-0198 (Japan); Institute for Solid State Physics, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8581 (Japan)
2014-10-28T23:59:59.000Z
We investigated optically induced ultrafast magnetization dynamics in square shaped Ni{sub 80}Fe{sub 20} nanorings with varying ring width. Rich spin-wave spectra are observed whose frequencies showed a strong dependence on the ring width. Micromagnetic simulations showed different types of spin-wave modes, which are quantized upto very high quantization number. In the case of widest ring, the spin-wave mode spectrum shows quantized modes along the applied field direction, which is similar to the mode spectrum of an antidot array. As the ring width decreases, additional quantization in the azimuthal direction appears causing mixed modes. In the narrowest ring, the spin-waves exhibit quantization solely in azimuthal direction. The different quantization is attributed to the variation in the internal field distribution for different ring width as obtained from micromagnetic analysis and supported by magnetic force microscopy.
Jesper Lykke Jacobsen
2010-06-11T23:59:59.000Z
We present an efficient algorithm for computing the partition function of the q-colouring problem (chromatic polynomial) on regular two-dimensional lattice strips. Our construction involves writing the transfer matrix as a product of sparse matrices, each of dimension ~ 3^m, where m is the number of lattice spacings across the strip. As a specific application, we obtain the large-q series of the bulk, surface and corner free energies of the chromatic polynomial. This extends the existing series for the square lattice by 32 terms, to order q^{-79}. On the triangular lattice, we verify Baxter's analytical expression for the bulk free energy (to order q^{-40}), and we are able to conjecture exact product formulae for the surface and corner free energies.
Predicting Turbulence using Partial Least Squares Regression and an Artificial Neural Network
Lakshmanan, Valliappa
Predicting Turbulence using Partial Least Squares Regression and an Artificial Neural Network in the dataset. Then, the transformed data are pre- sented to a neural network whose output node has a sigmoid
Urban square as theater : issues of continuity and discontinuity in urban design
Hsu, Buo-yuan
1993-01-01T23:59:59.000Z
This thesis tries to establish some criteria for designing a good urban square, with concern for the static and dynamic approaches. The former refers to aesthetic issues, and the latter refers to social and contextual ones. ...
Gao, Song
; Square grid structure; 1,4-Naphthalenedicarb- oxylic acid 1. Introduction In recent years, great.1. Measurements Elemental analyses were performed with an Elemen- tar Vario EL analyzer. The IR spectrum
High-performance MEMS square electrode quadrupole mass filters for chip-scale mass spectrometry
Cheung, Kerry
We report exciting experimental data from a low-cost, high-performance square electrode quadrupole mass filter with integrated ion optics intended for chips-cale mass spectrometry. The device showed a mass range of 650 amu ...
Multivariate analysis of neuronal interactions in the generalized partial least squares framework the brain. Multivariate analysis can explicitly test for multiple statistical models, including the designed paradigm, and allows for spatial and temporal model detection. Here, we investigate multivariate analysis
Load Forecasting using Fixed-Size Least Squares Support Vector Machines
-SVM formulation, on the other hand, solves a linear sys- tem in dual space under a least-squares cost function [13 series comes from a local low voltage substation in Belgium and it contains 28,000 hourly values
A discontinuous least-squares spatial discretization for the sn equations
Zhu, Lei
2009-05-15T23:59:59.000Z
In this thesis, we develop and test a fundamentally new linear-discontinuous least-squares (LDLS) method for spatial discretization of the one-dimensional (1-D) discrete-ordinates (SN) equations. This new scheme is based ...
Negative-norm least-squares methods for axisymmetric Maxwell equations
Copeland, Dylan Matthew
2006-08-16T23:59:59.000Z
We develop negative-norm least-squares methods to solve the three-dimensional Maxwell equations for static and time-harmonic electromagnetic fields in the case of axial symmetry. The methods compute solutions in a ...
Kim, Minjee
2013-01-01T23:59:59.000Z
This thesis analyzes the spatial dimensions of an urban high-tech cluster in the changing socio-economic landscape of American cities. Using Kendall Square as the primary case study, I analyzed the spatial qualities and ...
Condensation heat transfer in square, triangular, and semi-circular mini-channels Melanie Derby a
Peles, Yoav
Condensation heat transfer in square, triangular, and semi-circular mini-channels Melanie Derby a , Hee Joon Lee a,b , Yoav Peles a , Michael K. Jensen a, a Department of Mechanical, Aerospace
Turbulent heat transfer and friction in a square channel with discrete rib turbulators
McMillin, Robert Dale
1989-01-01T23:59:59.000Z
TURBULENT HEAT TRANSFER AND FRICTION IN A SQUARE CHANNEL WITH DISCRETE RIB TURBULATORS A Thesis by ROBERT DALE iXIGMILLIN Subniitted to the Office of Graduate Studies of Texas AK. M L niversrty in partial fulfillment of the requirements... for the degree of MASTER OF SGIE IGE Deceinber 1989 Major Subject' Mechanical Engineering TURBULENT HEAT TRANSFER AND FRICTION IN A SQUARE CHANNEL WITH DISCRETE RIB TURBULATORS A Thesrs by ROBERT DALE MCMILLI'V Approverl as to style and content...
Laveissière, G; Jaminion, S; Jutier, C; Todor, L; Di Salvo, R; Van Hoorebeke, L; Alexa, L C; Anderson, B D; Aniol, K A; Arundell, K; Audit, G; Auerbach, L; Baker, F T; Baylac, M; Berthot, J; Bertin, P Y; Bertozzi, W; Bimbot, L; Böglin, W; Brash, E J; Breton, V; Breuer, H; Burtin, E; Calarco, J R; Cardman, L S; Cavata, C; Chang, C C; Chen, J P; Chudakov, E; Cisbani, E; Dale, D S; De Jager, C W; De Leo, R; Deur, A; D'Hose, N; Dodge, G E; Domingo, John J; Elouadrhiri, L; Epstein, M B; Ewell, L A; Finn, J M; Fissum, K G; Fonvieille, H; Fournier, G; Frois, B; Frullani, S; Furget, C; Gao, H; Gao, J; Garibaldi, F; Gasparian, A; Gilad, S; Gilman, R; Glamazdin, A; Glashausser, C; Gómez, J; Gorbenko, V; Grenier, P; Guichon, P A M; Hansen, J O; Holmes, R; Holtrop, M; Howell, C; Huber, G M; Hyde-Wright, C E; Incerti, S; Iodice, M; Jardillier, J; Jones, M K; Kahl, W; Kamalov, S; Kato, S; Katramatou, A T; Kelly, J J; Kerhoas, S; Ketikyan, A; Khayat, M; Kino, K; Kox, S; Kramer, L H; Kumar, K S; Kumbartzki, G; Kuss, M; Leone, A; Le Rose, J J; Liang, M; Lindgren, R A; Liyanage, N K; Lolos, G J; Lourie, R W; Madey, R; Maeda, K; Malov, S; Manley, D M; Marchand, C; Marchand, D; Margaziotis, D J; Markowitz, P; Marroncle, J; Martino, J; McCormick, K; McIntyre, J; Mehrabyan, S S; Merchez, F; Meziani, Z E; Michaels, R; Miller, G W; Mougey, J Y; Nanda, S K; Neyret, D; Offermann, E; Papandreou, Z; Perdrisat, C F; Perrino, R; Petratos, G G; Platchkov, S; Pomatsalyuk, R I; Prout, D L; Punjabi, V A; Pussieux, T; Quéméner, G; Ransome, R D; Ravel, O; Real, J S; Renard, F; Roblin, Y; Rowntree, D; Rutledge, G; Rutt, P M; Saha, A; Saitô, T; Sarty, A J; Serdarevic, A; Smith, T; Smirnov, G; Soldi, K; Sorokin, P; Souder, P A; Suleiman, R; Templon, J A; Terasawa, T; Tiator, L; Tieulent, R; Tomasi-Gustafsson, E; Tsubota, H; Ueno, H; Ulmer, P E; Urciuoli, G M; Van De Vyver, R; Van, R L J; der Meer; Vernin, P; Vlahovic, B; Voskanyan, H; Voutier, E; Watson, J W; Weinstein, L B; Wijesooriya, K; Wilson, R; Wojtsekhowski, B B; Zainea, D G; Zhang, W M; Zhao, J; Zhou, Z L
2004-01-01T23:59:59.000Z
Photon electroproduction from hydrogen at backward angles and momentum transfer squared of $Q^{2}=1.0Gev^{2}$
Nelson, R.N. (ed.)
1985-05-01T23:59:59.000Z
This publication lists all report number codes processed by the Office of Scientific and Technical Information. The report codes are substantially based on the American National Standards Institute, Standard Technical Report Number (STRN)-Format and Creation Z39.23-1983. The Standard Technical Report Number (STRN) provides one of the primary methods of identifying a specific technical report. The STRN consists of two parts: The report code and the sequential number. The report code identifies the issuing organization, a specific program, or a type of document. The sequential number, which is assigned in sequence by each report issuing entity, is not included in this publication. Part I of this compilation is alphabetized by report codes followed by issuing installations. Part II lists the issuing organization followed by the assigned report code(s). In both Parts I and II, the names of issuing organizations appear for the most part in the form used at the time the reports were issued. However, for some of the more prolific installations which have had name changes, all entries have been merged under the current name.
Kihm, IconKenneth David
-pass square channel with a smooth wall and a 90° rib-roughened wall. Detailed averaged velocity distributions enhancements for both smooth and ribbed wall two-pass square channels. The rib-induced flow turbulence distribution in two-pass square channels with smooth and 90° ribbed walls. Han and Zhang [3] studied the effect
Calgary, University of
integrates a rotary steerable #12;iii system (RSS) and MWD tool into one drilling probe utilizing inertial) tool, which in current technology is installed several feet behind the drill bit. ValuesUCGE Reports Number 20284 Department of Geomatics Engineering Continuous Measurement-While-Drilling
Calgary, University of
in considerable operational cost savings for many exploration and open-pit mining companies in the energy sectorUCGE Reports Number 20146 Department of Geomatics Engineering Development of a Mobile Equipment Equipment Management System solution. In the open-pit mining industries there is a need for these companies
Student Code Number: Thermodynamics
Feeny, Brian
Student Code Number: Thermodynamics Ph.D. Qualifying Exam Department of Mechanical Engineering;Thermodynamics Qualifier January 2013 Problem 1 Air is compressed in an axial-flow compressor operating at steady of exergy destruction within the compressor, in kJ per kg of air flowing. #12;Thermodynamics Qualifier
Australia NO REGISTRATION NUMBER
#12;#12;Australia Austria Belgium Cyprus France Germany Greece Ireland Italy Japan Macedonia Ireland Italy Japan Macedonia Portugal Romania Slovenia Spain Turkey UK USA #12;NO REGISTRATION NUMBER 1 Totalregisteredparticipants:71 9 Italy 15 10 Japan 3 11 Macedonia 3 12 Portugal 2 13 Romania 3 14 Slovenia 2 15 Spain 2 16
Analytical relation between quark confinement and chiral symmetry breaking in odd-number lattice QCD
Hideo Suganuma; Takahiro M. Doi; Takumu Iritani
2013-12-21T23:59:59.000Z
To clarify the relation between confinement and chiral symmetry breaking in QCD, we consider a temporally odd-number lattice, with the temporal lattice size $N_t$ being odd. We here use an ordinary square lattice with the normal (nontwisted) periodic boundary condition for link-variables in the temporal direction. By considering ${\\rm Tr} (\\hat{U}_4\\hat{\
More on the Asymmetric Infinite Square Well: Energy Eigenstates with Zero Curvature
L. P. Gilbert; M. Belloni; M. A. Doncheski; R. W. Robinett
2005-12-19T23:59:59.000Z
We extend the standard treatment of the asymmetric infinite square well to include solutions that have zero curvature over part of the well. This type of solution, both within the specific context of the asymmetric infinite square well and within the broader context of bound states of arbitrary piecewise-constant potential energy functions, is not often discussed as part of quantum mechanics texts at any level. We begin by outlining the general mathematical condition in one-dimensional time-independent quantum mechanics for a bound-state wave function to have zero curvature over an extended region of space and still be a valid wave function. We then briefly review the standard asymmetric infinite square well solutions, focusing on zero-curvature solutions as represented by energy eigenstates in position and momentum space.
Federico Holik
2011-12-20T23:59:59.000Z
Since its origins, Quantum mechanics has presented problems with the concept of individuality. It is argued that quantum particles do not have individuality, and so, one can speak about "entities without identity". On the contrary, we claim that the problem of quantum non individuality goes deeper, and that one of its most important features is the fact that there are quantum systems for which particle number is not well defined. In this work, we continue this discussion in relation to the problem about the one and the many.
Vector meson dominance and deep inelastic scattering at low and medium Q squared
Edgar Bugaev; Boris Mangazeev
2014-07-09T23:59:59.000Z
We argued that deep inelastic scattering (DIS) at small values of Q squared is an essentially nonperturbative process and can be described, partially at least, by the vector meson dominance (VMD) model. We showed by the straightforward calculation that VMD model alone can successfully explain data on structure functions of DIS in a broad interval of x (5e-2 - 1e-4) for the region Q squared < 1 GeV squared. For a description of data at larger Q squared we used the two-component (VMD + perturbative QCD) approach. We showed that these two components can be separated if VMD is used in the aligned jet version. We took into account, in calculations of VMD component of structure functions, the excited states of the rho-meson and nondiagonal transitions between different members of the rho-meson family. Amplitudes of these transitions were obtained using a formalism of the light-front Bethe-Salpeter equation and the method of diffraction-scattering eigenstates. The perturbative QCD component was calculated using a framework of the colour dipole model with the dipole cross section having a Regge-type energy dependence. We presented results of the detailed comparison of our predictions with experimental data for structure functions of the nucleon. We obtained also approximate predictions for the structure functions in the region of very small x, up to 1e-9, and showed that nonperturbative component at such values of x is still relatively large and must be taken into account if Q squared is about few GeV squared or less.
Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
D. J. Kapner; T. S. Cook; E. G. Adelberger; J. H. Gundlach; B. R. Heckel; C. D. Hoyle; H. E. Swanson
2006-11-14T23:59:59.000Z
We conducted three torsion-balance experiments to test the gravitational inverse-square law at separations between 9.53 mm and 55 micrometers, probing distances less than the dark-energy length scale $\\lambda_{\\rm d}=\\sqrt[4]{\\hbar c/\\rho_{\\rm d}}\\approx 85 \\mu$m. We find with 95% confidence that the inverse-square law holds ($|\\alpha| \\leq 1$) down to a length scale $\\lambda = 56 \\mu$m and that an extra dimension must have a size $R \\leq 44 \\mu$m.
Acceleration Control in Nonlinear Vibrating Systems based on Damped Least Squares
Pilipchuk, V N
2011-01-01T23:59:59.000Z
A discrete time control algorithm using the damped least squares is introduced for acceleration and energy exchange controls in nonlinear vibrating systems. It is shown that the damping constant of least squares and sampling time step of the controller must be inversely related to insure that vanishing the time step has little effect on the results. The algorithm is illustrated on two linearly coupled Duffing oscillators near the 1:1 internal resonance. In particular, it is shown that varying the dissipation ratio of one of the two oscillators can significantly suppress the nonlinear beat phenomenon.
Advanced Online Flux Mapping of CANDU PHWR by Least-Squares Method
Hong, In Seob [Seoul National University (Korea, Republic of); Kim, Chang Hyo [Seoul National University (Korea, Republic of); Suk, Ho Chun [Korea Atomic Energy Research Institute (Korea, Republic of)
2005-07-15T23:59:59.000Z
A least-squares method that solves both the core neutronics design equations and the in-core detector response equations on the least-squares principle is presented as a new advanced online flux-mapping method for CANada Deuterium Uranium (CANDU) pressurized heavy water reactors (PHWRs). The effectiveness of the new flux-mapping method is examined in terms of online flux-mapping calculations with numerically simulated true flux distribution and detector signals and those with the actual core-follow data for the Wolsong CANDU PHWRs in Korea. The effects of core neutronics models as well as the detector failures and uncertainties of measured detector signals on the effectiveness of the least-squares flux-mapping calculations are also examined.The following results are obtained. The least-squares method predicts the flux distribution in better agreement with the simulated true flux distribution than the standard core neutronics calculations by the finite difference method (FDM) computer code without using the detector signals. The adoption of the nonlinear nodal method based on the unified nodal method formulation instead of the FDM results in a significant improvement in prediction accuracy of the flux-mapping calculations. The detector signals estimated from the least-squares flux-mapping calculations are much closer to the measured detector signals than those from the flux synthesis method (FSM), the current online flux-mapping method for CANDU reactors. The effect of detector failures is relatively small so that the plant can tolerate up to 25% of detector failures without seriously affecting the plant operation. The detector signal uncertainties aggravate accuracy of the flux-mapping calculations, yet the effects of signal uncertainties of the order of 1% standard deviation can be tolerable without seriously degrading the prediction accuracy of the least-squares method. The least-squares method is disadvantageous because it requires longer CPU time than the existing FSM. Considering ever-increasing computer speed and the improved operational safety margin of CANDU reactors gained by accurate flux-mapping calculations, however, it is concluded that the least-squares method presents an effective alternative to the existing flux-mapping method for CANDU reactors.
Predicting Turbulence Using Partial Least Squares Regression and an Artificial Neural Network
Lakshmanan, Valliappa
Predicting Turbulence Using Partial Least Squares Regression and an Artificial Neural Network #12;Neural Network Neural Network Architecture 6 inputs (the 6 transformed components) 1 output (0 Lakshmanan et. al (OU/NSSL) PLS and NN 8th Conf. on AI, Atlanta, GA 9 / 15 #12;Neural Network Validation
"Least Squares Fitting" Using Artificial Neural Networks YARON DANON and MARK J. EMBRECHTS
Danon, Yaron
"Least Squares Fitting" Using Artificial Neural Networks YARON DANON and MARK J. EMBRECHTS process changes the internal parameters (weights) of the network such that the neural net can represent a backpropagation fit to various continuous functions will be presented, showing properties of neural network fitted
Penalized Weighted Least-Squares Approach for Low-Dose X-Ray Computed Tomography
Penalized Weighted Least-Squares Approach for Low-Dose X- Ray Computed Tomography Jing Wang*1, noise-resolution tradeoff, ROC curve. 1. INTRODUCTION Low-dose X-ray computed tomography (CT) imaging Military Medical University, Xi'an, Shaanxi 710032, China ABSTRACT The noise of low-dose computed
A Generalized Formula for Converting Chi-Square Tests to Effect Sizes for Meta-Analysis
Rosenberg, Michael S.
A Generalized Formula for Converting Chi-Square Tests to Effect Sizes for Meta-Analysis Michael S Sciences, Arizona State University, Tempe, Arizona, United States of America Abstract The common formula of the effect size. A corrected formula is provided. Citation: Rosenberg MS (2010) A Generalized Formula
The BSHM -LMS 150th Anniversary De Morgan House, Russell Square, London
Abrahams, I. David
The BSHM - LMS 150th Anniversary De Morgan House, Russell Square, London (nearest tube: Russell Fisher (lmsmeetings@lms.ac.uk) by Friday 1st May. Late registrations for places may still be accepted. +44 (0)20 7637 3686. www.lms.ac.uk. Registered Charity No. 252660. b s h m Date 9th May 2015 De Morgan
Transport of bubbles in square microchannels Thomas Cubaud and Chih-Ming Ho
Cubaud, Thomas
for portable microfluidic devices where two-phase flow is involved such as in a microdirect methanol fuel cell- cal, petroleum, and power generation industries (such as nuclear power plants and micro-fuel cellsTransport of bubbles in square microchannels Thomas Cubaud and Chih-Ming Ho Mechanical
Use of Least Means Squares Filter in Control of Optical Beam Jitter
Use of Least Means Squares Filter in Control of Optical Beam Jitter R. Joseph Watkins U.S. Naval 93943 DOI: 10.2514/1.26778 Meeting optical beam jitter requirements is becoming a challenging problem for several space programs. A laser beam jitter control test bed has been developed at the Naval Postgraduate
Chen, Long-Qing
Electric-field-driven magnetization reversal in square-shaped nanomagnet-based multiferroic. Lett. 98, 222509 (2011); 10.1063/1.3597796 Electrically controlled magnetization switching://scitation.aip.org/termsconditions. Downloaded to IP: 128.118.37.128 On: Wed, 27 May 2015 18:58:21 #12;Electric-field-driven magnetization
Kinetic theory for dilute cohesive granular gases with a square well potential
Satoshi Takada; Kuniyasu Saitoh; Hisao Hayakawa
2015-06-15T23:59:59.000Z
We develop the kinetic theory of dilute cohesive granular gases in which the attractive part is described by a square well potential. We derive the hydrodynamic equations from the kinetic theory with the microscopic expressions for the dissipation rate and the transport coefficients. We check the validity of our theory by performing the direct simulation Monte Carlo.
NUMERICAL NULL CONTROLLABILITY OF THE HEAT EQUATION THROUGH A LEAST SQUARES AND VARIATIONAL APPROACH
NUMERICAL NULL CONTROLLABILITY OF THE HEAT EQUATION THROUGH A LEAST SQUARES AND VARIATIONAL of null controls for the heat equation. The goal is to compute an approximation of controls that drives-space dimensional case. Key Words. Heat equation, Null controllability, Numerical approximation, Variational ap
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and
Sart, Remi
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares with the numerical computation of distributed null controls for semi- linear 1D heat equations, in the sublinear in [Fernandez-Cara & Zuazua, Null and approximate controllability for weakly blowing up semi-linear heat
* 2048 by 2048 pixel format * 13.5 mm square pixels
FEATURES * 2048 by 2048 pixel format * 13.5 mm square pixels * Image area 27.6 x 27.6 mm * Back protection * Very low noise output amplifiers * Dual responsivity output amplifiers * Gated dump drain of the CCD42 family of CCD sensors has full-frame architecture. Back illumination technology, in combination
Application of Least Squares MPE technique in the reduced order modeling of electrical circuits
Eindhoven, Technische Universiteit
fast analysis of the circuit designs and reduce the manufacturing cost and time. Typical dimensions models [12]. Due to the growing complexities in circuit designs, linear models are often inadequateApplication of Least Squares MPE technique in the reduced order modeling of electrical circuits
Paris-Sud XI, Université de
Bulk, surface and corner free energy series for the chromatic polynomial on the square, surface and corner free energies of the chromatic polynomial. This extends the existing series expression for the bulk free energy (to order q-40 ), and we are able to conjecture exact product formulae
Impact Ionization Model Using Average Energy and Average Square Energy of Distribution Function
Dunham, Scott
Impact Ionization Model Using Average Energy and Average Square Energy of Distribution Function Ken relaxation length, v sat ø h''i (¸ 0:05¯m), the energy distribution function is not well described calculation of impact ionization coefficient requires the use of a high energy distribution function because
Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
E. G. Adelberger; B. R. Heckel; S. Hoedl; C. D. Hoyle; D. J. Kapner; A. Upadhye
2007-02-07T23:59:59.000Z
We use data from our recent search for violations of the gravitational inverse-square law to constrain dilaton, radion and chameleon exchange forces as well as arbitrary vector or scalar interactions. We test the interpretation of the PVLAS effect and a conjectured ``fat graviton'' scenario and constrain the $\\gamma_5$ couplings of pseuodscalar bosons and arbitrary power-law interactions.
PLC-9 Non Rusting Stainless Steel Column 10" Square with Radius Corners
Duchowski, Andrew T.
PLC-9 Non Rusting Stainless Steel Column 10" Square with Radius Corners Unit includes two lights General Specifications of PLC-9 Column Non Rusting, Non Magnetic Stainless Steel - .125" Thick Dimensions, Black, Safety Yellow, White Custom colors available. Optional Finish: Natural Stainless - glass beaded
Gene Feature Extraction Using T-Test Statistics and Kernel Partial Least Squares
Kwok, James Tin-Yau
Gene Feature Extraction Using T-Test Statistics and Kernel Partial Least Squares Shutao Li1 , Chen Clear Water Bay, Hong Kong shutao li@yahoo.com.cn, lc337199@sina.com, jamesk@cs.ust.hk Abstract. In this paper, we propose a gene extraction method by us- ing two standard feature extraction methods, namely
All proper normal extensions of S5{square have the polynomial size model property
Amsterdam, University of
All proper normal extensions of S5{square have the polynomial size model property Nick extensions of the bi-modal system S5 2 have the poly-size model property. In fact, every normal proper extension L of S5 2 is complete with respect to a class of #12;nite frames FL . To each such class
Partial least squares regression as an alternative to current regression methods used in ecology
Carrascal, Luis M.
Partial least squares regression as an alternative to current regression methods used in ecology regression analysis (PLSR), and its potential utility in ecological studies. This statistical technique with multiple regression (MR) and with a combination of principal component analysis and multiple regression
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page onsource History View NewUS National FuelYancey County, NorthDiesel3, 2013TWO Washington,4 Average Square Footage of
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page onsource History View NewUS National FuelYancey County, NorthDiesel3, 2013TWO Washington,4 Average Square Footage of5
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page onsource History View NewUS National FuelYancey County, NorthDiesel3, 2013TWO Washington,4 Average Square Footage of56
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page onsource History View NewUS National FuelYancey County, NorthDiesel3, 2013TWO Washington,4 Average Square Footage of569
Pratt, Brittan Sheldon
2008-10-10T23:59:59.000Z
the residual. The least squares method is a technique that deter- mines ?j such that the integral of the square of the residual is a minimum. The integral of the square of the residual as given by I(?j) = integraldisplay L 0 R2 dx (1.4) 3 which is called... the least squares functional. The necessary condition for a minimum of I is that its first derivative with respect to ?1, ?2, ··· , ?n is zero: 0 = ?I(?j) ? ?I?? i = 2 integraldisplay L 0 R ?R?? i dx, for i= 1,2,···,n (1.5) C. Present Study The primary...
Kirchhoff, William H. [Surface and Microanalysis Science Division, National Institute of Standards and Technology, 100 Bureau Drive, Stop 8370, Gaithersburg, Maryland 20899-8370 (United States)
2012-09-15T23:59:59.000Z
The extended logistic function provides a physically reasonable description of interfaces such as depth profiles or line scans of surface topological or compositional features. It describes these interfaces with the minimum number of parameters, namely, position, width, and asymmetry. Logistic Function Profile Fit (LFPF) is a robust, least-squares fitting program in which the nonlinear extended logistic function is linearized by a Taylor series expansion (equivalent to a Newton-Raphson approach) with no apparent introduction of bias in the analysis. The program provides reliable confidence limits for the parameters when systematic errors are minimal and provides a display of the residuals from the fit for the detection of systematic errors. The program will aid researchers in applying ASTM E1636-10, 'Standard practice for analytically describing sputter-depth-profile and linescan-profile data by an extended logistic function,' and may also prove useful in applying ISO 18516: 2006, 'Surface chemical analysis-Auger electron spectroscopy and x-ray photoelectron spectroscopy-determination of lateral resolution.' Examples are given of LFPF fits to a secondary ion mass spectrometry depth profile, an Auger surface line scan, and synthetic data generated to exhibit known systematic errors for examining the significance of such errors to the extrapolation of partial profiles.
Wojciech H. Zurek
2014-10-01T23:59:59.000Z
I show that random distributions of vortex-antivortex pairs (rather than of individual vortices) lead to scaling of typical winding numbers W trapped inside a loop of circumference C with the square root of C when the expected winding numbers are large. Such scaling is consistent with the Kibble-Zurek mechanism (KZM). By contrast, distribution of individual vortices with randomly assigned topological charges would result in the dispersion of W scaling with the square root of the area inside C. Scaling of the dispersion of W and of the probability of detection of non-zero W with C can be also studied for loops so small that non-zero windings are rare. In this case I show a doubling of the scaling of dispersion with C when compared to the scaling of dispersion in the large W regime. Moreover, probability of trapping of a non-zero W becomes, in this case, proportional to the area subtended by C (hence, to the square of circumference). This quadruples, as compared with large winding numbers regime, the exponent in the power law dependence of the frequency of trapping of W=+1 or W=-1 on C. Such change of the power law exponent by a FACTOR OF FOUR implies quadrupling of the scaling of the frequency of winding number trapping with the quench rate, and is of key importance for experimental tests of KZM.
DOI 10.1007/s10994-013-5423-y Least-squares independence regression for non-linear
Kaski, Samuel
Mach Learn DOI 10.1007/s10994-013-5423-y Least-squares independence regression for non-linear 2011 / Accepted: 9 November 2013 © The Author(s) 2013 Abstract The discovery of non-linear causal method. Keywords Causal inference · Non-linear · Non-Gaussian · Squared-loss mutual information · Least
De Flaviis, Franco
Tilt Beam Characteristic by Changing Length of Finite-Sized Square Dielectric Substrate of One Arm by changing the length of finite-sized square dielectric substrate of one arm rectangular spiral antenna has). Horizontal spiral arm length (HL) is varied from HL=0.8o to HL=5.2o to choose the length that yields
arXiv:1103.0628v1[astro-ph.IM]3Mar2011 Bivariate least squares linear regression
Masci, Frank
arXiv:1103.0628v1[astro-ph.IM]3Mar2011 Bivariate least squares linear regression: towards a unified squares linear regression, the classical ap- proach pursued for functional models in earlier attempts are regression lines in the general case of correlated errors in X and in Y for heteroscedastic data
Control protocol of finite dimensional quantum systems using alternating square pulse
Jianju Tang; H. C. Fu
2013-12-18T23:59:59.000Z
Control protocol to drive finite dimensional quantum systems to an arbitrary target state using square pulses is proposed explicitly. It is a multi-cycle control process and in each cycle we apply square pulses to cause single or a few transitions between energy levels. Systems with equal energy gaps except the first one, four dimensional system with equal first and third energy gaps and different second energy gap, and systems with all equal energy gaps of dimension three, are investigated in detail. The control parameters, the interaction time between systems and control fields and free evolution times between cycles, are connected with the probability amplitudes of target states via trigonometric functions and are determined analytically.
Pragmatic SAE procedure in the Schrodinger equation for the inverse-square-like potentials
Nadareishvili, Teimuraz
2012-01-01T23:59:59.000Z
The Self-Adjoint Extension in the Schrodinger equation for potentials behaved as an attractive inverse square at the origin is critically reviewed. Original results are also presented. It is shown that the additional non-regular solutions must be retained for definite interval of parameters, which requires a necessity of performing a Self-Adjoint Extension (SAE) procedure of radial Hamiltonian.The Pragmatic approach is used and some of its consequences are considered for wide class of transitive potentials. Our consideration is based on the established earlier by us a boundary condition for the radial wave function and the corresponding consequences are derived. Various relevant applications are presented as well. They are: inverse square potential in the Schrodinger equation is solved when the additional non-regular solution is retained. Valence electron model and the Klein-Gordon equation with the Coulomb potential is considered and the hydrino -like levels are discussed.
Pragmatic SAE procedure in the Schrodinger equation for the inverse-square-like potentials
Teimuraz Nadareishvili; Anzor Khelashvili
2012-10-14T23:59:59.000Z
The Self-Adjoint Extension in the Schrodinger equation for potentials behaved as an attractive inverse square at the origin is critically reviewed. Original results are also presented. It is shown that the additional non-regular solutions must be retained for definite interval of parameters, which requires a necessity of performing a Self-Adjoint Extension (SAE) procedure of radial Hamiltonian.The Pragmatic approach is used and some of its consequences are considered for wide class of transitive potentials. Our consideration is based on the established earlier by us a boundary condition for the radial wave function and the corresponding consequences are derived. Various relevant applications are presented as well. They are: inverse square potential in the Schrodinger equation is solved when the additional non-regular solution is retained. Valence electron model and the Klein-Gordon equation with the Coulomb potential is considered and the hydrino -like levels are discussed.
Method for exploiting bias in factor analysis using constrained alternating least squares algorithms
Keenan, Michael R. (Albuquerque, NM)
2008-12-30T23:59:59.000Z
Bias plays an important role in factor analysis and is often implicitly made use of, for example, to constrain solutions to factors that conform to physical reality. However, when components are collinear, a large range of solutions may exist that satisfy the basic constraints and fit the data equally well. In such cases, the introduction of mathematical bias through the application of constraints may select solutions that are less than optimal. The biased alternating least squares algorithm of the present invention can offset mathematical bias introduced by constraints in the standard alternating least squares analysis to achieve factor solutions that are most consistent with physical reality. In addition, these methods can be used to explicitly exploit bias to provide alternative views and provide additional insights into spectral data sets.
Domain wall displacement in Py square ring for single nanometric magnetic bead detection
Vavassori, P; Gobbi, M; Donolato, M; Cantoni, M; Bertacco, R
2008-01-01T23:59:59.000Z
A new approach based on the domain wall displacement in confined ferromagnetic nanostructures for attracting and sensing a single nanometric magnetic particles is presented. We modeled and experimentally demonstrated the viability of the approach using an anisotropic magnetoresistance device made by a micron-size square ring of Permalloy designed for application in magnetic storage. This detection concept can be suitable to biomolecular recognition, and in particular to single molecule detection.
On F-Squares and their Critical Sets L F Fitina, Jennifer Seberry
Seberry, Jennifer
(F ) will denote the size of a critical set. We denote by scr(F (n; #11; 0 ; #11; 1 ; : : : ; #11; v 1 )) the size; : : : ; 1; n i)) where there are i zeroes satis#12;es scr(F (n; 1; : : : ; n i)) #20; scr(F (n; 1; : : : ; 1; n i + 1)) #20; scr(F (n; 1; 1; : : : ; 1)) = scs(n): Critical sets of latin squares were #12;rst
Complete Set of Inner Products for a Discrete PT-symmetric Square-well Hamiltonian
Miloslav Znojil
2009-11-02T23:59:59.000Z
A discrete $N-$point Runge-Kutta version $H^{(N)}({\\lambda})$ of one of the simplest non-Hermitian square-well Hamiltonians with real spectrum is studied. A complete set of its possible hermitizations (i.e., of the eligible metrics $\\Theta^{(N)}({\\lambda})$ defining its non-equivalent physical Hilbert spaces of states) is constructed, in closed form, for any coupling ${\\lambda}\\in (-1,1)$ and any matrix dimension $N$.
Table 5a. Total District Heat Consumption per Effective Occupied Square
U.S. Energy Information Administration (EIA) Indexed Site
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 Tables July 1996 Energy Information Administration Office of Coal, Nuclear, Electric and Alternate1Cubic2009 2010Effective Occupied Square250.2
A. H. El Kinani; M. Daoud
2003-12-13T23:59:59.000Z
This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system $[ 1] $. We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states \\`{a} la Gazeau-Klauder and those \\`{a} la Klauder-Perelomov, we derive the generalized intelligent states in analytical ways.
kilowatt- hour (1 kWh)? Problem 4 How many ergs of energy are collected from a solar panel on a roof, if the sunlight provides a flux of 300 Joules/sec/meter 2 , the solar panels have an area of 27 square feet84Unit Conversions Energy, Power, Flux Energy is measured in a number of ways depending on what
Sum--of--squares results for polynomials related to the Bessis--Moussa--Villani conjecture
Benoit Collins; Kenneth J. Dykema; Francisco Torres-Ayala
2010-03-27T23:59:59.000Z
We show that the polynomial S_{m,k}(A,B), that is the sum of all words in noncommuting variables A and B having length m and exactly k letters equal to B, is not equal to a sum of commutators and Hermitian squares in the algebra R where X^2=A and Y^2=B, for all even values of m and k with 6 Bessis--Moussa--Villani conjecture, which asks whether the trace of S_{m,k}(A,B)) is nonnegative for all positive semidefinite matrices A and B. These results eliminate the possibility of using "descent + sum-of-squares" to prove the BMV conjecture. We also show that S_{m,4}(A,B) is equal to a sum of commutators and Hermitian squares in R when m is even and not a multiple of 4, which implies that the trace of S_{m,4}(A,B) is nonnegative for all Hermitian matrices A and B, for these values of m.
Compendium of Experimental Cetane Numbers
Yanowitz, J.; Ratcliff, M. A.; McCormick, R. L.; Taylor, J. D.; Murphy, M. J.
2014-08-01T23:59:59.000Z
This report is an updated version of the 2004 Compendium of Experimental Cetane Number Data and presents a compilation of measured cetane numbers for pure chemical compounds. It includes all available single compound cetane number data found in the scientific literature up until March 2014 as well as a number of unpublished values, most measured over the past decade at the National Renewable Energy Laboratory. This Compendium contains cetane values for 389 pure compounds, including 189 hydrocarbons and 201 oxygenates. More than 250 individual measurements are new to this version of the Compendium. For many compounds, numerous measurements are included, often collected by different researchers using different methods. Cetane number is a relative ranking of a fuel's autoignition characteristics for use in compression ignition engines; it is based on the amount of time between fuel injection and ignition, also known as ignition delay. The cetane number is typically measured either in a single-cylinder engine or a constant volume combustion chamber. Values in the previous Compendium derived from octane numbers have been removed, and replaced with a brief analysis of the correlation between cetane numbers and octane numbers. The discussion on the accuracy and precision of the most commonly used methods for measuring cetane has been expanded and the data has been annotated extensively to provide additional information that will help the reader judge the relative reliability of individual results.
Office of Legacy Management (LM)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23Tribal EnergyCatalytic Co - PA 40 FUSRAPChupadera WaterJulyReportN V O 1 8 7 +' , /v-i 2 -i 3 -A, This
Sum--of--squares results for polynomials related to the Bessis--Moussa--Villani conjecture
Collins, Benoit; Torres-Ayala, Francisco
2009-01-01T23:59:59.000Z
We show that the polynomial S_{m,k}(A,B), that is the sum of all words in noncommuting variables A and B having length m and exactly k letters equal to B, is not equal to a sum of commutators and Hermitian squares in the algebra R where X^2=A and Y^2=B, for all even values of m and k with 6 when m is even and not a multiple of 4, which implies that the trace of S_{m,4}(A,B) is nonnegative for all Hermitian matrices A and B, for these values of m.
Non-intersecting squared Bessel paths: critical time and double scaling limit
A. B. J. Kuijlaars; A. Martinez-Finkelshtein; F. Wielonsky
2010-11-04T23:59:59.000Z
We consider the double scaling limit for a model of $n$ non-intersecting squared Bessel processes in the confluent case: all paths start at time $t=0$ at the same positive value $x=a$, remain positive, and are conditioned to end at time $t=1$ at $x=0$. After appropriate rescaling, the paths fill a region in the $tx$--plane as $n\\to \\infty$ that intersects the hard edge at $x=0$ at a critical time $t=t^{*}$. In a previous paper (arXiv:0712.1333), the scaling limits for the positions of the paths at time $t\
ODEs, Homework #3 1. Suppose A, B are constant square matrices such that etA
Karageorgis, Paschalis
ODEs, Homework #3 Solutions 1. Suppose A, B are constant square matrices such that etA etB = et identity with respect to t, we find that etA etB = et(A+B) = AetA etB + etA BetB = (A + B)et(A+B) . Differentiating once again, we now get A2 etA etB + AetA BetB + AetA BetB + etA B2 etB = (A + B)2 et(A+B) so we
Sub-mm tests of the gravitational inverse-square law
E. G. Adelberger
2002-02-02T23:59:59.000Z
Sub-mm tests of the gravitational inverse-square law are interesting from several quite different perspectives. This paper discusses work by the Eot-Wash group performed since the publication of our initial result in February 2001. We find no evidence for short-range Yukawa interactions. Our results provide an upper limit of 200 micrometers on the size of the largest ``extra'' dimension, and for the unification scenario with 2 large extra dimensions, set an upper limit of 150 micrometers on the size of those dimensions.
Lower bound on the mean square displacement of particles in the hard disk model
Thomas Richthammer
2015-04-30T23:59:59.000Z
The hard disk model is a 2D Gibbsian process of particles interacting via pure hard core repulsion. At high particle density the model is believed to show orientational order, however, it is known not to exhibit positional order. Here we investigate to what extent particle positions may fluctuate. We consider a finite volume version of the model in a box of dimensions $2n \\times 2n$ with arbitrary boundary configuration,and we show that the mean square displacement of particles near the center of the box is bounded from below by $c \\log n$. The result generalizes to a large class of models with fairly arbitrary interaction.
Pipeline MT Instructions Identification Number
Hong, Don
Pipeline MT Instructions Identification Number For identification purposes, you will be assigned a special identification number. M# You can activate your MT email, login to PipelineMT to register for classes or pay tuition and fees. Activating the MTSU Email and PipelineMT accounts: Visit the website
Types of random numbers and Monte Carlo Methods Pseudorandom number generation
Mascagni, Michael
Types of random numbers and Monte Carlo Methods Pseudorandom number generation Quasirandom number generation Conclusions WE246: Random Number Generation A Practitioner's Overview Prof. Michael Mascagni #12;Types of random numbers and Monte Carlo Methods Pseudorandom number generation Quasirandom number
Alver, Burak Han
The differential cross section for the inclusive production of isolated prompt photons has been measured as a function of the photon transverse energy ET? [E subscript Tau superscript gamma] in pp collisions at ?s=7??[square ...
Dijet Azimuthal Decorrelations in pp Collisions at ?s=7? [square root of s=7]?TeV
Alver, Burak Han
Measurements of dijet azimuthal decorrelations in pp collisions at ?s=7??[square root of s=7] TeV using the CMS detector at the CERN LHC are presented. The analysis is based on an inclusive dijet event sample corresponding ...
Pion femtoscopy in p?+?p collisions at ?s=200 [square root of s = 200] GeV
Balewski, Jan T.
The STAR Collaboration at the BNL Relativistic Heavy Ion Collider has measured two-pion correlation functions from p+p collisions at ?s=200 [square root of s = 200] GeV. Spatial scales are extracted via a femtoscopic ...
Alternative Least-Squares Finite Element Models of Navier-Stokes Equations for Power-Law Fluids
Vallala, Venkat
2010-01-16T23:59:59.000Z
-Squares formulations of the original partial differential equations (PDE's) in terms of primary variables require C1 continuity of the finite element spaces across inter-element boundaries. This higherorder continuity requirement for PDE's in primary variables is a...
Pontaza, Juan Pablo
2004-09-30T23:59:59.000Z
We consider the application of least-squares variational principles and the finite element method to the numerical solution of boundary value problems arising in the fields of solidand fluidmechanics.For manyof these ...
Estrada Perez, Carlos Eduardo
2014-12-12T23:59:59.000Z
flow through a square channel. The explored visualization techniques were: 1) Particle tracking velocimetry (PTV), which provides velocity measurements of the liquid phase, 2) High-speed shadowgraphy (HSS) which is used to study the dispersed phase...
Gupta, Abhishek; SriHarsha, V.; Prabhu, S.V.; Vedula, R.P. [Department of Mechanical Engineering, IIT Bombay, Powai, Mumbai 400 076 (India)
2008-02-15T23:59:59.000Z
Internal channel cooling is employed in advanced gas turbines blade to allow high inlet temperatures so as to achieve high thrust/weight ratios and low specific fuel consumption. The objective of the present study is to measure the local heat transfer distributions in a double wall ribbed square channel with 90 continuous, 90 saw tooth profiled and 60 V-broken ribs. Comparison is made between the 90 continuous ribs (P/e = 7 and 10 for a e/D = 0.15) and 90 saw tooth profiled rib configurations (P/e = 7 for an e/D = 0.15) for the same rib height to the hydraulic diameter ratio (e/D). The effect of pitch to rib height ratio (P/e = 7.5,10 and 12) of 60 V-broken ribbed channel with a constant rib height to hydraulic diameter ratio (e/D) of 0.0625 on the local heat transfer distribution is studied. The Reynolds number based on duct hydraulic diameter is ranging from 10,000 to 30,000. A thin stainless steel foil of 0.05 mm thickness is used as heater and infrared thermography technique is used to obtain the local temperature distribution on the surface. The images are captured in the periodically fully developed region of the channel. It is observed that the heat transfer augmentations in the channel with 90 saw tooth profiled ribs are comparable with those of 90 continuous ribs. The enhancements caused by 60 V-broken ribs are higher than those of 90 continuous ribs. The effect of pitch to the rib height ratio (P/e) is not significant for channel with 60 V-broken ribs for a given rib height to hydraulic diameter ratio (e/D = 0.0625). (author)
RNG: A Practitioner's Overview Random Number Generation
Mascagni, Michael
RNG: A Practitioner's Overview Random Number Generation A Practitioner's Overview Prof. Michael and Monte Carlo Methods Pseudorandom number generation Types of pseudorandom numbers Properties of these pseudorandom numbers Parallelization of pseudorandom number generators New directions for SPRNG Quasirandom
Heat transfer and friction in a square channel with one-wall or two-wall rib turbulators
Huang, Jie Joy
1991-01-01T23:59:59.000Z
of MASTER OF SCIENCE December 1991 Major Subject: Mechanical Engineering HEAT TRANSFER AND FRICTION IN A SQUARE CHANNEI WITH ONE-WAIL OR TWO-WALL RIB TURBULATORS A Thesis by JIE JOY HUANG Approved as to style snd content by: J. C. Han (Chair.... , Shanghai Institute of Mechanical Engineering Chair of Advisory Committee: Dr. J. C, Han This experimental program studies the effect of the wall heat flux ratio on the local heat transfer distributions and pressure drop in a square channel...
for ø6-inch (6-inch square) workpieces. DAD3220, just 500 mm wide, helps conserve valuable cleanroom
Welch, K.M.
1981-01-01T23:59:59.000Z
The Cathedral Square solar site is a 10-story multiunit apartment building in Vermont. Its active solar energy system is designed to supply 51% of the hot water load, and consists of 1798 square feet of flat plate collectors, 2699-gallon water tank in an enclosed mechanical room on the roof, and two auxiliary natural gas boilers to supply hot water to immersed heat exchanger in an auxiliary storage tank. The measured solar fraction was only 28%, not 51%, which, it is concluded, is an unreasonable expectation. Other performance data include the solar savings ratio, conventional fuel savings, system performance factor, and solar system coefficient of performance. Monthly performance data are given for the solar system overall, and for the collector, storage, and hot water subsystems. Also included are insolation data, typical storage fluid temperatures, domestic hot water consumption, and solar heat exchangers inlet/outlet temperatures, and typical domestic hot water subsystem temperatures. In addition, the system operating sequence and solar energy utilization are given. Appended are a system description, performance evaluation techniques, long-term weather data. (LEW)
The Infinite Square Well with a Point Interaction: A Discussion on the Different Parametrizations
Manuel Gadella; M. Ángeles García-Ferrero; Sergio González-Martín; Félix H. Maldonado-Villamizar
2015-02-10T23:59:59.000Z
The construction of Dirac delta type potentials has been achieved with the use of the theory of self adjoint extensions of non-self adjoint formally Hermitian (symmetric) operators. The application of this formalism to investigate the possible self adjoint extensions of the one dimensional kinematic operator $K=-d^2/dx^2$ on the infinite square well potential is quite illustrative and has been given elsewhere. This requires the definition and use of four independent real parameters, which relate the boundary values of the wave functions at the walls. By means of a different approach, that fixes matching conditions at the origin for the wave functions, it is possible to define a perturbation of the type $a\\delta(x)+b\\delta'(x)$, thus depending on two parameters, on the infinite square well. The objective of this paper is to investigate whether these two approaches are compatible in the sense that perturbations like $a\\delta(x)+b\\delta'(x)$ can be fixed and determined using the first approach.
Andrews, George E; Gawronski, Wolfgang; Littlejohn, Lance L
2011-01-01T23:59:59.000Z
The Jacobi-Stirling numbers were discovered as a result of a problem involving the spectral theory of powers of the classical second-order Jacobi differential expression. Specifically, these numbers are the coefficients of integral composite powers of the Jacobi expression in Lagrangian symmetric form. Quite remarkably, they share many properties with the classical Stirling numbers of the second kind which, as shown in LW, are the coefficients of integral powers of the Laguerre differential expression. In this paper, we establish several properties of the Jacobi-Stirling numbers and its companions including combinatorial interpretations thereby extending and supplementing known contributions to the literature of Andrews-Littlejohn, Andrews-Gawronski-Littlejohn, Egge, Gelineau-Zeng, and Mongelli.
Departmental Business Instrument Numbering System
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2005-01-27T23:59:59.000Z
The Order prescribes the procedures for assigning identifying numbers to all Department of Energy (DOE) and National Nuclear Security Administration (NNSA) business instruments. Cancels DOE O 540.1. Canceled by DOE O 540.1B.
Departmental Business Instrument Numbering System
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2000-12-05T23:59:59.000Z
To prescribe procedures for assigning identifying numbers to all Department of Energy (DOE), including the National Nuclear Security Administration, business instruments. Cancels DOE 1331.2B. Canceled by DOE O 540.1A.
Optical pattern recognition architecture implementing the mean-square error correlation algorithm
Molley, Perry A. (Albuquerque, NM)
1991-01-01T23:59:59.000Z
An optical architecture implementing the mean-square error correlation algorithm, MSE=.SIGMA.[I-R].sup.2 for discriminating the presence of a reference image R in an input image scene I by computing the mean-square-error between a time-varying reference image signal s.sub.1 (t) and a time-varying input image signal s.sub.2 (t) includes a laser diode light source which is temporally modulated by a double-sideband suppressed-carrier source modulation signal I.sub.1 (t) having the form I.sub.1 (t)=A.sub.1 [1+.sqroot.2m.sub.1 s.sub.1 (t)cos (2.pi.f.sub.o t)] and the modulated light output from the laser diode source is diffracted by an acousto-optic deflector. The resultant intensity of the +1 diffracted order from the acousto-optic device is given by: I.sub.2 (t)=A.sub.2 [+2m.sub.2.sup.2 s.sub.2.sup.2 (t)-2.sqroot.2m.sub.2 (t) cos (2.pi.f.sub.o t] The time integration of the two signals I.sub.1 (t) and I.sub.2 (t) on the CCD deflector plane produces the result R(.tau.) of the mean-square error having the form: R(.tau.)=A.sub.1 A.sub.2 {[T]+[2m.sub.2.sup.2.multidot..intg.s.sub.2.sup.2 (t-.tau.)dt]-[2m.sub.1 m.sub.2 cos (2.tau.f.sub.o .tau.).multidot..intg.s.sub.1 (t)s.sub.2 (t-.tau.)dt]} where: s.sub.1 (t) is the signal input to the diode modulation source: s.sub.2 (t) is the signal input to the AOD modulation source; A.sub.1 is the light intensity; A.sub.2 is the diffraction efficiency; m.sub.1 and m.sub.2 are constants that determine the signal-to-bias ratio; f.sub.o is the frequency offset between the oscillator at f.sub.c and the modulation at f.sub.c +f.sub.o ; and a.sub.o and a.sub.1 are constant chosen to bias the diode source and the acousto-optic deflector into their respective linear operating regions so that the diode source exhibits a linear intensity characteristic and the AOD exhibits a linear amplitude characteristic.
TRANSPORT NUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION
De Jonghe, Lutgard C.
2014-01-01T23:59:59.000Z
NUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION LutgardNUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION LutgardNUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION Lutgard
TRANSPORT NUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION
De Jonghe, Lutgard C.
2012-01-01T23:59:59.000Z
NUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION LutgardNUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION LutgardNUMBER GRADIENTS AND SOLID ELECTROLYTE DEGRADATION Lutgard
An adaptive least squares mixed finite element method for the stress ...
2004-10-19T23:59:59.000Z
Contract grant sponsor: Deutsche Forschungsgemeinschaft (DFG); contract grant number: STA 402/8 (to J.K.). © 2004 Wiley Periodicals, Inc.
Nonzero Mean Squared Momentum of Quarks in the Non-Perturbative QCD Vacuum
Li-Juan Zhou; Leonard S. Kisslinger; Wei-xing Ma
2010-04-21T23:59:59.000Z
The non-local vacuum condensates of QCD describe the distributions of quarks and gluons in the non-perturbative QCD vacuum. Physically, this means that vacuum quarks and gluons have nonzero mean-squared momentum, called virtuality. In this paper we study the quark virtuality which is given by the ratio of the local quark-gluon mixed vacuum condensate to the quark local vacuum condensate. The two vacuum condensates are obtained by solving Dyson-Schwinger Equations of a fully dressed quark propagator with an effective gluon propagator. Using our calculated condensates, we obtain the virtuality of quarks in the QCD vacuum state. Our numerical predictions differ from the other theoretical model calculations such as QCD sum rules, Lattice QCD and instanton models.
Quantum chaos of a kicked particle in a 1D infinite square potential well
Baowen Li; Jie Liu; Yan Gu; Bambi Hu
1999-03-03T23:59:59.000Z
We study quantum chaos in a non-KAM system, i.e. a kicked particle in a one-dimensional infinite square potential well. Within the perturbative regime the classical phase space displays stochastic web structures, and the diffusion coefficient D in the regime increases with the perturbative strength K giving a scaling $D \\propto K^{2.5}$, and in the large K regime D goes as K^2. Quantum mechanically, we observe that the level spacing statistics of the quasi eigenenergies changes from Poisson to Wigner distribution as the kick strength increases. The quasi eigenstates show power-law localization in the small K region, which become extended one at large K. Possible experimental realization of this model is also discussed.
Classical systems can be contextual too: Analogue of the Mermin-Peres square
Pawel Blasiak
2015-02-25T23:59:59.000Z
Contextuality lays at the heart of quantum mechanics. In the prevailing opinion it is considered as a signature of 'quantumness' that classical theories lack. However, this assertion is only partially justified. Although contextuality is certainly true of quantum mechanics, it cannot be taken by itself as discriminating against classical theories. Here we consider a representative example of contextual behaviour, the so-called Mermin-Peres square, and present a discrete toy model of a bipartite system which reproduces the pattern of quantum predictions that leads to contradiction with the assumption of non-contextuality. This illustrates that quantum-like contextual effects have their analogues within classical models with epistemic constraints such as limited information gain and measurement disturbance.
Constraints on Light Pseudoscalars Implied by Tests of the Gravitational Inverse-Square Law
Ephraim Fischbach; Dennis E. Krause
1999-06-03T23:59:59.000Z
The exchange of light pseudoscalars between fermions leads to a spin-independent potential in order g^4, where g is the Yukawa pseudoscalar-fermion coupling constant. This potential gives rise to detectable violations of both the weak equivalence principle (WEP) and the gravitational inverse-square law (ISL), even if g is quite small. We show that when previously derived WEP constraints are combined with those arisingfrom ISL tests, a direct experimental limit on the Yukawa coupling of light pseudoscalars to neutrons can be inferred for the first time (g_n^2/4pi < 1.6 \\times 10^-7), along with a new (and significantly improved) limit on the coupling of light pseudoscalars to protons.
Tube vibration in industrial-size test heat exchanger (90/sup 0/ square layout)
Halle, H.; Wambsganss, M.W.
1983-02-01T23:59:59.000Z
Tube vibrations in heat exchangers are being systematically investigated in a series of tests performed with an industrial-size test exchanger. Results from waterflow tests of eleven different tube bundles, in six- and eight-crosspass configurations on a 90/sup 0/ square layout with a pitch-to-diameter ratio of 1.25 are reported. The test cases include full tube bundles, no-tubes-in-window bundles, finned tube bundles, and proposed field and design fixes. The testing focused on identification of the lowest critical flowrate to initiate fluidelastic instability (large amplitude tube motion) and the location within the bundle of the tubes which first experience instability. The test results are tabulated to permit comparison with results obtained from previous tests with a 30/sup 0/ triangular layout tube bundle. Instability criteria are evaluated preliminarily. Pressure drop data are also generated and reported.
How the ENIAC took a Square Root revised 01/19/2009
Bogaerts, Steven
of the ENIAC: The ENIAC was "build" around twenty 10 decimal digit Accumulators which could add and subtract at electronic speeds. To add or subtract two numbers, the contents of one accumulator was sent to a second. Accumulators could "receive" a number, transmit its contents "additively" (for addition) or transmit
Zhang, Y.M.; Han, J.C.; Parsons, J.A. [Texas A and M Univ., College Station, TX (United States); Lee, C.P. [General Electric Co., Cincinnati, OH (United States)
1995-04-01T23:59:59.000Z
The influence of uneven wall temperature on the local heat transfer coefficient in a rotating, two-pass, square channel with 60 deg ribs on the leading and trailing walls was investigated for Reynolds number from 2,500 to 25,000 and rotation numbers from 0 to 0.352. Each pass, composed of six isolated copper sections, had a length-to-hydraulic diameter ratio of 12. The mean rotating radius-to-hydraulic diameter ratio was 30. Three thermal boundary condition cases were studied: (A) all four walls at the same temperature, (B) all four walls at the same heat flux, and (C) trailing wall hotter than leading with side walls unheated and insulated. Results indicate that rotating ribbed wall heat transfer coefficients increase by a factor of 2 to 3 over the rotating smooth wall data and at reduced coefficient variation from inlet to exit. As rotation number (or buoyancy parameter) increases, the first pass (outflow) trailing heat transfer coefficients increase and the first pass leading heat transfer coefficients decrease, whereas the reverse is true for the second pass (inflow). The direction of the Coriolis force reverse from the outflow trailing wall to the inflow leading wall. Differences between the first pass leading and trailing heat transfer coefficients increase with rotation number. A similar behavior is seen for the second pass leading and trailing heat transfer coefficients, but the differences are reduced due to buoyancy changing from aiding to opposing the inertia force. The results suggest that uneven wall temperature has a significant impact on the local heat transfer coefficients. The heat transfer coefficients on the first pass leading wall for cases B and C are up to 70--100% higher than that for case A, while the heat transfer coefficients on the second pass trailing wall for cases B and C are up to 20--50% higher.
On Normal Numbers Veronica Becher
Figueira, Santiago
ends with all zeros; hence, q is not simply normal to base b. 3/23 #12;The problem is still open Theorem (Borel 1909) Almost all real numbers are absolutely normal. Problem (Borel 1909) Give an example transducers. Huffman 1959 calls them lossless compressors. A direct proof of the above theorem Becher
Minnesota Natural Gas Number of Residential Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet nameDomesticResidentialEstimated ProductionHeating OilResidential Consumers (Number of
Heat transfer and friction in a square channel with one-wall or two-wall rib turbulators
Huang, Jie Joy
1991-01-01T23:59:59.000Z
HEAT TRANSFER AND FRICTION IN A SQUARE CHANNEL WITH ONE-WAIL OR TWO-WAII RIB TURBULATORS A Thesis by JIE JOY HUANG Submitted to the Office of Graduate Studies of Texas A8rM University in partial fulfillment of the requirements for the degree... of Commit tee) D. Rhode (Member) . A. Hassan (Member) I W. Bradley (Head of Department) December 1991 ABSTRACT Heat Transfer and Friction in a Square Channel with One-Wall or Two-Wall Rib Turbulators. (December 1991) Jie Joy Huang, B. S...
Baggeroer, Arthur B.
Array processing is widely used in sensing applications for estimating the locations and waveforms of the sources in a given field. In the absence of a large number of snapshots, which is the case in numerous practical ...
Utah Natural Gas Number of Residential Consumers (Number of Elements)
Gasoline and Diesel Fuel Update (EIA)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production (Million(MillionFeet) Oil WellsResidential Consumers (Number of
Washington Natural Gas Number of Residential Consumers (Number of Elements)
Gasoline and Diesel Fuel Update (EIA)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production (Million(MillionFeet)TotalResidential Consumers (Number of Elements)
Hawaii Natural Gas Number of Residential Consumers (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production%3.PDFFeet) YearProduction from GreaterResidential Consumers (Number of
Iowa Natural Gas Number of Industrial Consumers (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production%3.PDFFeet) YearProductionYear Jan FebIndustrial Consumers (Number of
Iowa Natural Gas Number of Residential Consumers (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production%3.PDFFeet) YearProductionYear Jan FebIndustrial Consumers (Number
Maine Natural Gas Number of Residential Consumers (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318Cubic Feet) Year Jan Feb Mar Apr May Jun Jul Aug Sep OctResidential Consumers (Number
Nebraska Natural Gas Number of Commercial Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120 7,226,215throughCommercial Consumers (Number of Elements)
Nebraska Natural Gas Number of Industrial Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120 7,226,215throughCommercial Consumers (Number ofIndustrial
Nebraska Natural Gas Number of Residential Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120 7,226,215throughCommercial Consumers (Number
California Natural Gas Number of Residential Consumers (Number of Elements)
Gasoline and Diesel Fuel Update (EIA)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706 802 1979-2013OctoberEstimatedDecadeProvedCubicResidential Consumers (Number of
Wyoming Natural Gas Number of Industrial Consumers (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318Cubic Feet) YearSalesNew Field Discoveries (Billion CubicIndustrial Consumers (Number
THE MADISON SQUARE GARDEN DISPERSION STUDY (MSG05) METEOROLOGICAL DATA DESCRIPTION.
REYNOLDS, R.M.
2006-10-01T23:59:59.000Z
MSG05 was a study of atmospheric transport and dispersion in the deep urban canyons of Midtown New York City, in the area of Madison Square Garden. This downtown area is considered to be a prime target for terrorist activities, and has one of the largest commuter populations in the world. Little is known about air flow and hazardous gas dispersion in such scenarios, since previous urban field experiments have focused on small to medium sized cities with much smaller street canyons. On March 10 and 14, 2005, a series of Perfluorocarbon Tracer (PFT) tracers were released and tracked with about 30 sampling stations at radial distances of about 0.2 and 0.4 km, with vertical profiles near a 250 m tall building (One Penn Plaza). Meteorological stations collected wind data in the MSG vicinity, at street level and rooftop level. MSG05 is expected to provide useful information on rapid vertical dispersion will assist in planning for more extensive studies. This data release is being made available to a restricted group of key scientists who have worked on the project. Part of the QA program involves feedback from scientists and modelers who are working on this study. This document describes the meteorological component of the project. The file organization and metadata are detailed so that a researcher can work with the data sets.
Liang, Faming; Cheng, Yichen; Lin, Guang
2014-06-13T23:59:59.000Z
Simulated annealing has been widely used in the solution of optimization problems. As known by many researchers, the global optima cannot be guaranteed to be located by simulated annealing unless a logarithmic cooling schedule is used. However, the logarithmic cooling schedule is so slow that no one can afford to have such a long CPU time. This paper proposes a new stochastic optimization algorithm, the so-called simulated stochastic approximation annealing algorithm, which is a combination of simulated annealing and the stochastic approximation Monte Carlo algorithm. Under the framework of stochastic approximation Markov chain Monte Carlo, it is shown that the new algorithm can work with a cooling schedule in which the temperature can decrease much faster than in the logarithmic cooling schedule, e.g., a square-root cooling schedule, while guaranteeing the global optima to be reached when the temperature tends to zero. The new algorithm has been tested on a few benchmark optimization problems, including feed-forward neural network training and protein-folding. The numerical results indicate that the new algorithm can significantly outperform simulated annealing and other competitors.
Ekkad, S.V.; Huang, Y.; Han, J.C. [Texas A and M Univ., College Station, TX (United States)
1996-12-31T23:59:59.000Z
Modern gas turbine blades have internal serpentine passage for providing effective cooling. Rib turbulators are added periodically on the cooling passage surface to enhance heat transfer. Some of the cooling air is ejected out through bleed (or film) holes for external blade film cooling. The presence of periodic rib turbulators and bleed holes creates strong axial and spanwise variations in the heat transfer distributions on the passage surface. Detailed heat transfer coefficient distributions are presented in this study for a two-pass square channel with a 180{degree} turn. One wall of the channel has periodically placed bleed holes. Four different configurations of 90{degree} parallel, 60{degree} parallel, 60{degree} V ribs, and 60{degree} inverted V ribs are studied in conjunction with the effect of bleed holes on the same wall. The surface is coated with a thin layer of thermochromic liquid crystals and a transient test is run to obtain the detailed heat transfer distributions. The 60{degree} parallel, 60{degree} V, and 60{degree} inverted ribbed channels produce similar levels of heat transfer enhancement in the first pass. However, the 60{degree} inverted V ribbed channel produces higher enhancement in the second pass. Regional averaged heat transfer results indicate that a test surface with bleed holes provides similar heat transfer enhancement as that for a test surface without bleed holes although 20--25% of the inlet mass flow exits through the bleed holes.
Approximate l-fold cross-validation with Least Squares SVM and Kernel Ridge Regression
Edwards, Richard E [ORNL] [ORNL; Zhang, Hao [ORNL] [ORNL; Parker, Lynne Edwards [ORNL] [ORNL; New, Joshua Ryan [ORNL] [ORNL
2013-01-01T23:59:59.000Z
Kernel methods have difficulties scaling to large modern data sets. The scalability issues are based on computational and memory requirements for working with a large matrix. These requirements have been addressed over the years by using low-rank kernel approximations or by improving the solvers scalability. However, Least Squares Support VectorMachines (LS-SVM), a popular SVM variant, and Kernel Ridge Regression still have several scalability issues. In particular, the O(n^3) computational complexity for solving a single model, and the overall computational complexity associated with tuning hyperparameters are still major problems. We address these problems by introducing an O(n log n) approximate l-fold cross-validation method that uses a multi-level circulant matrix to approximate the kernel. In addition, we prove our algorithm s computational complexity and present empirical runtimes on data sets with approximately 1 million data points. We also validate our approximate method s effectiveness at selecting hyperparameters on real world and standard benchmark data sets. Lastly, we provide experimental results on using a multi-level circulant kernel approximation to solve LS-SVM problems with hyperparameters selected using our method.
The role of the Kubo number in two-component turbulence
Qin, G. [State Key Laboratory of Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190 (China)] [State Key Laboratory of Space Weather, Center for Space Science and Applied Research, Chinese Academy of Sciences, Beijing 100190 (China); Shalchi, A. [Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2 (Canada)] [Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2 (Canada)
2013-09-15T23:59:59.000Z
We explore the random walk of magnetic field lines in two-component turbulence by using computer simulations. It is often assumed that the two-component model provides a good approximation for solar wind turbulence. We explore the dependence of the field line diffusion coefficient on the Kubo number which is a fundamental and characteristic quantity in the theory of turbulence. We show that there are two transport regimes. One is the well-known quasilinear regime in which the diffusion coefficient is proportional to the Kubo number squared, and the second one is a nonlinear regime in which the diffusion coefficient is directly proportional to the Kubo number. The so-called percolative transport regime which is often discussed in the literature cannot be found. The numerical results obtained in the present paper confirm analytical theories for random walking field lines developed in the past.
Abdi, Hervé
: A framework to simultaneously analyze behavioral and genetic data Derek Beaton* School of Behavioral and BrainRunning head: PLSCA FOR BEHAVIORALAND GENETIC DATA 1 Partial Least Squares-Correspondence Analysis Sciences The University of Texas at Dallas MS: GR4.1 800 West Campbell Rd. Richardson, TX 75080 USA Joseph
3D Least Squares Velocity from 3D Doppler Radial X. Chen, J.L. Barron, R.E. Mercer
Barron, John
neighbourhoods to compute local 3D velocity. Radial velocity (measured by the Doppler effect) is the component3D Least Squares Velocity from 3D Doppler Radial Velocity X. Chen, J.L. Barron, R.E. Mercer Dept. Radial velocity can be used to predict the motion of storms in sequences of Doppler radar datasets
A Fourth Order Hermitian Box-Scheme with Fast Solver for the Poisson Problem in a Square
Croisille, Jean-Pierre
A Fourth Order Hermitian Box-Scheme with Fast Solver for the Poisson Problem in a Square Ali Abbas Metz, France email: croisil@poncelet.univ-metz.fr December 12, 2010 1 #12;Abstract A new fourth order the approximation of the gradient by the fourth order hermitian derivative, with a conservative discrete formulation
Calculation of the Electric and Magnetic Root Mean Squared Radiuses of Proton Based on MIT Bag Model
Maryam Momeni Feili; Mahvash Zandi
2015-01-12T23:59:59.000Z
The electric and magnetic bag radiuses of the proton can be determined by MIT bag model based on electric and magnetic form factors of the proton. Also we determined electric and magnetic root mean squared radiuses of the proton, using of bag radius and compared with other results suggests a suitable compatibility.
General series solution for finite square-well energy levels for use in wave-packet studies
Stroud, Carlos R.
General series solution for finite square-well energy levels for use in wave-packet studies David L a particle is prepared in a spatially localized wave packet instead of in an energy eigenstate, it initially Received 23 July 1999; accepted 11 January 2000 We develop a series solution for the bound-state energy
Harris, Philip Coleman
2011-01-01T23:59:59.000Z
In this thesis, we perform the measurement of the production of W and Z bosons in proton-proton collisions at [the square root of]s = 7 TeV with the Large Hadron Collider (LHC). In the LHC, W and Z bosons are produced at ...
Eldar, Yonina
IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 54, NO. 6, JUNE 2006 2155 A Minimum Squared processing entails representing a signal by a set of coefficients and relies on the existence of methods kernel. In practice, however, the input signal is never perfectly bandlimited, and the sampling process
80 IEEE SIGNAL PROCESSING LE'ITERS, VOL. 1, NO. 5, MAY 1994 Using Least Squares to Improve
Swindlehurst, A. Lee
80 IEEE SIGNAL PROCESSING LE'ITERS, VOL. 1, NO. 5, MAY 1994 Using Least Squares to Improve Blind Signal Copy Performance A. Swindlehurst, Member, IEEE, and J. Yang Abstract-Conventional methods for signal copy require one to estimate the directions of arrival (DOA's) of the signals prior to computing
The San FranciscoVolcanic Field,which covers about 1,800 square miles, is part of northern
The San FranciscoVolcanic Field,which covers about 1,800 square miles, is part of northern Arizona at the high- est elevations.The varied forests and geologic features of the San FranciscoVolcanic Field offer young but extinct volcanoes of the San Francisco Volcanic Field.Without the volcanoes, this region would
Tapas Das
2015-03-25T23:59:59.000Z
$D$-dimensional Schr\\"{o}dinger equation is addressed for square root power law potential. Bound state unnormalized eigenfunctions and the energy eigenvalues are obtained using wave function ansatz method. Some special cases are studied at the end to ensure the correctness of present work.
Chang, Chein-I
be thought of as a priori OSP. In order to evaluate these three approaches, their associated least squares) analysis. All results are demonstrated by computer simulations and Airborne Visible/Infrared Imaging classifier (TSC). I. INTRODUCTION THE ADVENT of high spatial resolution airborne and satellite sensors
Tang Shaojie; Tang Xiangyang [Imaging and Medical Physics, Department of Radiology and Imaging Sciences, Emory University School of Medicine, 1701 Uppergate Dr., C-5018, Atlanta, Georgia 30322 (United States); School of Automation, Xi'an University of Posts and Telecommunications, Xi'an, Shaanxi 710121 (China); Imaging and Medical Physics, Department of Radiology and Imaging Sciences, Emory University School of Medicine, 1701 Uppergate Dr., C-5018, Atlanta, Georgia 30322 (United States)
2012-09-15T23:59:59.000Z
Purposes: The suppression of noise in x-ray computed tomography (CT) imaging is of clinical relevance for diagnostic image quality and the potential for radiation dose saving. Toward this purpose, statistical noise reduction methods in either the image or projection domain have been proposed, which employ a multiscale decomposition to enhance the performance of noise suppression while maintaining image sharpness. Recognizing the advantages of noise suppression in the projection domain, the authors propose a projection domain multiscale penalized weighted least squares (PWLS) method, in which the angular sampling rate is explicitly taken into consideration to account for the possible variation of interview sampling rate in advanced clinical or preclinical applications. Methods: The projection domain multiscale PWLS method is derived by converting an isotropic diffusion partial differential equation in the image domain into the projection domain, wherein a multiscale decomposition is carried out. With adoption of the Markov random field or soft thresholding objective function, the projection domain multiscale PWLS method deals with noise at each scale. To compensate for the degradation in image sharpness caused by the projection domain multiscale PWLS method, an edge enhancement is carried out following the noise reduction. The performance of the proposed method is experimentally evaluated and verified using the projection data simulated by computer and acquired by a CT scanner. Results: The preliminary results show that the proposed projection domain multiscale PWLS method outperforms the projection domain single-scale PWLS method and the image domain multiscale anisotropic diffusion method in noise reduction. In addition, the proposed method can preserve image sharpness very well while the occurrence of 'salt-and-pepper' noise and mosaic artifacts can be avoided. Conclusions: Since the interview sampling rate is taken into account in the projection domain multiscale decomposition, the proposed method is anticipated to be useful in advanced clinical and preclinical applications where the interview sampling rate varies.
Random number stride in Monte Carlo calculations
Hendricks, J.S.
1990-01-01T23:59:59.000Z
Monte Carlo radiation transport codes use a sequence of pseudorandom numbers to sample from probability distributions. A common practice is to start each source particle a predetermined number of random numbers up the pseudorandom number sequence. This number of random numbers skipped between each source particles the random number stride, S. Consequently, the jth source particle always starts with the j{center dot}Sth random number providing correlated sampling'' between similar calculations. A new machine-portable random number generator has been written for the Monte Carlo radiation transport code MCNP providing user's control of the random number stride. First the new MCNP random number generator algorithm will be described and then the effects of varying the stride will be presented. 2 refs., 1 fig.
The Fermat and Mersenne Numbers
Nowlin, W. D.
1960-01-01T23:59:59.000Z
(mcd 2+1). Moreover, since p=4nt3jh7 (n)0), p 2IW. I~M . Hence N is composite. p p We close this section with a result concerning Mersenne numbers which is very similar to Theorem 8. Theorem 10. If q is prime and q ~ N (po 2), then q=8K-I. p... that, 21 p ~ U n 1, a contradiction to Theorem 14. Thus w = 2 . Moreover, 2 by' Theorem 16, p ) U , and it follows that w 4 p- C, which gives p w g p+h Therefore 2 -lgp+~2-1 whioh is impossible. Hence M must be prime and the proof of Theorem 20...
Beex, A. A. "Louis"
-Square Error Estimate for the LMS Transversal Equalizer With Narrowband Interference Takeshi Ikuma and A. A. (Louis) Beex Abstract--When the least-mean-square (LMS) algorithm is used to adapt an adaptive in such an environment. We have recently shown that the mean of the LMS weights in this adaptive equalizer problem shifts
On q-deformed Stirling numbers
Yilmaz Simsek
2007-11-03T23:59:59.000Z
The purpose of this article is to introduce q-deformed Stirling numbers of the first and second kinds. Relations between these numbers, Riemann zeta function and q-Bernoulli numbers of higher order are given. Some relations related to the classical Stirling numbers and Bernoulli numbers of higher order are found. By using derivative operator to the generating function of the q-deformed Stirling numbers of the second kinds, a new function is defined which interpolates the q-deformed Stirling numbers of the second kinds at negative integers. The recurrence relations of the Stirling numbers of the first and second kind are given. In addition, relation between q-deformed Stirling numbers and q-Bell numbers is obtained.
Robust parallel iterative solvers for linear and least-squares problems, Final Technical Report
Saad, Yousef
2014-01-16T23:59:59.000Z
The primary goal of this project is to study and develop robust iterative methods for solving linear systems of equations and least squares systems. The focus of the Minnesota team is on algorithms development, robustness issues, and on tests and validation of the methods on realistic problems. 1. The project begun with an investigation on how to practically update a preconditioner obtained from an ILU-type factorization, when the coefficient matrix changes. 2. We investigated strategies to improve robustness in parallel preconditioners in a specific case of a PDE with discontinuous coefficients. 3. We explored ways to adapt standard preconditioners for solving linear systems arising from the Helmholtz equation. These are often difficult linear systems to solve by iterative methods. 4. We have also worked on purely theoretical issues related to the analysis of Krylov subspace methods for linear systems. 5. We developed an effective strategy for performing ILU factorizations for the case when the matrix is highly indefinite. The strategy uses shifting in some optimal way. The method was extended to the solution of Helmholtz equations by using complex shifts, yielding very good results in many cases. 6. We addressed the difficult problem of preconditioning sparse systems of equations on GPUs. 7. A by-product of the above work is a software package consisting of an iterative solver library for GPUs based on CUDA. This was made publicly available. It was the first such library that offers complete iterative solvers for GPUs. 8. We considered another form of ILU which blends coarsening techniques from Multigrid with algebraic multilevel methods. 9. We have released a new version on our parallel solver - called pARMS [new version is version 3]. As part of this we have tested the code in complex settings - including the solution of Maxwell and Helmholtz equations and for a problem of crystal growth.10. As an application of polynomial preconditioning we considered the problem of evaluating f(A)v which arises in statistical sampling. 11. As an application to the methods we developed, we tackled the problem of computing the diagonal of the inverse of a matrix. This arises in statistical applications as well as in many applications in physics. We explored probing methods as well as domain-decomposition type methods. 12. A collaboration with researchers from Toulouse, France, considered the important problem of computing the Schur complement in a domain-decomposition approach. 13. We explored new ways of preconditioning linear systems, based on low-rank approximations.
Department for Analysis and Computational Number Theory Additive functions and number systems
Department for Analysis and Computational Number Theory Additive functions and number systems systems April 7, 2010 1 / 35 #12;Department for Analysis and Computational Number Theory Outline Number and Computational Number Theory Number systems Let R be an integral domain, b R, and N = {n1, . . . , nm} R
Inverse Square Law of Gravitation in (2+1)-Dimensional Space-Time as a Consequence of Casimir Energy
H. H. Soleng
1993-10-04T23:59:59.000Z
The gravitational effect of vacuum polarization in space exterior to a particle in (2+1)-dimensional Einstein theory is investigated. In the weak field limit this gravitational field corresponds to an inverse square law of gravitational attraction, even though the gravitational mass of the quantum vacuum is negative. The paradox is resolved by considering a particle of finite extension and taking into account the vacuum polarization in its interior.
BMUS PROGRAMME Each small square box represents 0.5 unit. The shaded areas are the core
Sheldon, Nathan D.
BMUS PROGRAMME Each small square box represents 0.5 unit. The shaded areas are the core component of each year. The optional component can be made up of 0.5 units or whole units of Intermediate (I unit) Core 1102 (1 unit) Core 1103 (0.5 unit) Core 1104 (0.5 unit) Core 1105 (0.5 unit) Core 1106 (0.5
Relation between the Lagrange-Sylvester polynomial and functions of a square matrix
Powell, William Samuel
1968-01-01T23:59:59.000Z
numbers c, . . . , c, . . . , c, . . . , c S subsciipted such that Z m = m. Given the distant values k= 1 x, x, . : ?, x; we wish to find a polynomial r (x) such that (I-I) r (x ) = c, for j= l. . . , , m, ' k= 1, . . . , S. , We require the kj ' ' k... interpolation polynomial. lt will be shown there exists a unique set of m polynomials . (x) j=l, . . . , m; k = 1, . . . S, each of degree m-1 or less such kj ' '' k' that. if i(x) is any polynomial whose degree is less than m, then S (1) k 1) i(x) = Z [r...
Prime number generation and factor elimination
Vineet Kumar
2014-10-06T23:59:59.000Z
We have presented a multivariate polynomial function termed as factor elimination function,by which, we can generate prime numbers. This function's mapping behavior can explain the irregularities in the occurrence of prime numbers on the number line. Generally the different categories of prime numbers found till date, satisfy the form of this function. We present some absolute and probabilistic conditions for the primality of the number generated by this method. This function is capable of leading to highly efficient algorithms for generating prime numbers.
On the Number of Tight Wavelet Frame Generators associated with Multivariate Box Splines
Lai, Ming-Jun
Kronecker poduct method in [2]. Keywords Sum of square magnitudes, Multivariate box splines, Tight wavelet
Turing's normal numbers: towards randomness Veronica Becher
presumably in 1938 Alan Turing gave an algorithm that produces real numbers normal to every integer base- putable normal numbers, and this result should be attributed to Alan Turing. His manuscript entitled "A
KIAS SEOUL, February 2004 Transcendental Number Theory
Waldschmidt, Michel
) Â Introductio in Analysin Infinitorum. Suggests the transcendence of log 1/ log 2 when this number is irrational in Analysin Infinitorum. Suggests the transcendence of log 1/ log 2 when this number is irrational (for this number is irrational (for algebraic 1 and 2). http://www.math.jussieu.fr/miw/ 14 #12;Euler (1748
Number of peer-reviewed publications
·Number of peer- reviewed publications produced per year ·Data accurate as of 02 April 2012 · Number of publications produced per institution (top 10) ·Collaborations counted multiple times · Non-cumulative number of citations received by OER publications per year ·Data accurate as of 02 April 2012 · The work
Company number 5857955 Wellcome Trust Finance plc
Rambaut, Andrew
Company number 5857955 Wellcome Trust Finance plc Annual Report and Financial Statements Year ended 30 September 2014 #12;Company number 5857955 Wellcome Trust Finance plc Contents Page Strategic number 58579551 Wellcome Trust Finance plc Strategic Report For the year ended 30 September 2014
Clar number of catacondensed benzenoid hydrocarbons
Klavzar, Sandi
Clar number of catacondensed benzenoid hydrocarbons Sandi KlavÅ¸zar a,# , Petra Å¸ Zigert a , Ivan hydrocarbon: CL is equal to the minimum number of straight lines required to intersect all hexagons theory; Clar formula; Clar number; Resonance graph; Benzenoid hydrocarbons 1. Introduction Within
WASHINGTON SQUARE HALL 118 ONE WASHINGTON SQUARE
Su, Xiao
Impact Assessment Rachel O'Malley Concentration in Environmental Restoration and Resource Management: (408) 924-5477 ENVIRONMENTAL-STUDIES@SJSU.EDU WWW.SJSU.EDU/ENVS SJSU DEPARTMENT OF ENVIRONMENTAL Mulvaney, Rachel O'Malley, and Will Russell BACHELOR OF SCIENCE IN ENVIRONMENTAL STUDIES Bachelor
Tip sheet: Expanded Library of Congress Call Number Classification system Call Number Subject Matter
Kambhampati, Patanjali
Tip sheet: Expanded Library of Congress Call Number Classification system Call Number Subject R: Medicine T: Technology U: Military Science Z: Bibliography. Library Science. Information
Sakuma, Tai
2010-01-01T23:59:59.000Z
The inclusive jet cross section, the dijet cross section, and the dijet longitudinal double spin asymmetry ALL in polarized proton-proton collisions at [square root of sigma] = 200 GeV are measured with a data sample of ...
Taylor, Alexis (Alexis Abreu)
2011-01-01T23:59:59.000Z
In 2009 the New York City Department of Transportation (NYC DOT) initiated a Pilot Streets Program that called for the temporary closure of Broadway between 47th and 42nd Streets to all vehicular traffic. With Times Square ...
Raut, Ameeta A.
2010-07-14T23:59:59.000Z
..... 6 2.3 Summary............................................................................................ 8 3. THEORETICAL FORMULATION OF EBT AND TBT ............................ 9 3.1 Background... ......................................................... 30 5.4 Summary............................................................................................. 31 6. LEAST-SQUARES THEORY & FORMULATION .................................... 32 6.1 Introduction...
Raut, Ameeta A.
2010-07-14T23:59:59.000Z
..... 6 2.3 Summary............................................................................................ 8 3. THEORETICAL FORMULATION OF EBT AND TBT ............................ 9 3.1 Background... ......................................................... 30 5.4 Summary............................................................................................. 31 6. LEAST-SQUARES THEORY & FORMULATION .................................... 32 6.1 Introduction...
Sub-millimeter Tests of the Gravitational Inverse-square Law
C. D. Hoyle; D. J. Kapner; B. R. Heckel; E. G. Adelberger; J. H. Gundlach; U. Schmidt; H. E. Swanson
2004-08-26T23:59:59.000Z
Motivated by a variety of theories that predict new effects, we tested the gravitational 1/r^2 law at separations between 10.77 mm and 137 microns using two different 10-fold azimuthally symmetric torsion pendulums and rotating 10-fold symmetric attractors. Our work improves upon other experiments by up to a factor of about 100. We found no deviation from Newtonian physics at the 95% confidence level and interpret these results as constraints on extensions of the Standard Model that predict Yukawa or power-law forces. We set a constraint on the largest single extra dimension (assuming toroidal compactification and that one extra dimension is significantly larger than all the others) of R = 1 are ruled out at 95% confidence for lambda >= 197 microns. Extra-dimensions scenarios stabilized by radions are restricted to unification masses M >= 3.0 TeV/c^2, regardless of the number of large extra dimensions. We also provide new constraints on power-law potentials V(r)\\propto r^{-k} with k between 2 and 5 and on the gamma_5 couplings of pseudoscalars with m <= 10 meV/c^2.
M. Sereno; Ph. Jetzer
2006-06-08T23:59:59.000Z
Dark matter or modifications of the Newtonian inverse-square law in the solar-system are studied with accurate planetary astrometric data. From extra-perihelion precession and possible changes in the third Kepler's law, we get an upper limit on the local dark matter density, rho_{DM} gravitational acceleration are really small. We examined the MOND interpolating function mu in the regime of strong gravity. Gradually varying mu suggested by fits of rotation curves are excluded, whereas the standard form mu(x)= x/(1+x^2)^{1/2} is still compatible with data. In combination with constraints from galactic rotation curves and theoretical considerations on the external field effect, the absence of any significant deviation from inverse square attraction in the solar system makes the range of acceptable interpolating functions significantly narrow. Future radio ranging observations of outer planets with an accuracy of few tenths of a meter could either give positive evidence of dark matter or disprove modifications of gravity.
Relativistic theory of tidal Love numbers
Taylor Binnington; Eric Poisson
2009-09-16T23:59:59.000Z
In Newtonian gravitational theory, a tidal Love number relates the mass multipole moment created by tidal forces on a spherical body to the applied tidal field. The Love number is dimensionless, and it encodes information about the body's internal structure. We present a relativistic theory of Love numbers, which applies to compact bodies with strong internal gravities; the theory extends and completes a recent work by Flanagan and Hinderer, which revealed that the tidal Love number of a neutron star can be measured by Earth-based gravitational-wave detectors. We consider a spherical body deformed by an external tidal field, and provide precise and meaningful definitions for electric-type and magnetic-type Love numbers; and these are computed for polytropic equations of state. The theory applies to black holes as well, and we find that the relativistic Love numbers of a nonrotating black hole are all zero.
Washington at Seattle, University of - Department of Physics, Electroweak Interaction Research Group
Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale D. J. Kapner,* T-balance experiments to test the gravitational inverse-square law at separations between 9.53 mm and 55 m, probing of the gravitational inverse-square law we report in this Letter. Our tests were made with a substantially upgraded ver
Predicting landfalling hurricane numbers from basin hurricane numbers: basic statistical analysis
Laepple, T; Penzer, J; Bellone, E; Nzerem, K; Laepple, Thomas; Jewson, Stephen; Penzer, Jeremy; Bellone, Enrica; Nzerem, Kechi
2007-01-01T23:59:59.000Z
One possible method for predicting landfalling hurricane numbers is to first predict the number of hurricanes in the basin and then convert that prediction to a prediction of landfalling hurricane numbers using an estimated proportion. Should this work better than just predicting landfalling hurricane numbers directly? We perform a basic statistical analysis of this question in the context of a simple abstract model.
On Conformal Field Theory and Number Theory
Huang, An
2011-01-01T23:59:59.000Z
Frontiers in Number Theory, Physics, and Ge- ometry II. (Witten, Quantum Field Theory, Crassmannians, and AlgebraicJ. Polchinski, String Theory, Vol. 1, Cambridge Univ.
Saldin, Dilano
Call Numbers** A, B, C 3rd Floor Southeast . D, E, F, G, H, J, K, L 3rd Floor West . . . . . P 3rd Floor West . Q, R
REFINED BOUNDS ON THE NUMBER OF CONNECTED ...
2011-04-06T23:59:59.000Z
Apr 6, 2011 ... Smith inequality (see Theorem 2.5) a bound on the number of semi- ... then using Smith inequality, have been used before in several different ...
enter part number BNC / RP-BNC
Berns, Hans-Gerd
enter part number Products 7/16 1.0/2.3 1.6/5.6 AFI AMC BNC / RP-BNC C FAKRA SMB FME HN MCX Mini ------- Product Search ------- Inventory Search Search Results for: 31-10152-RFX Results: 1 - 1 of 1 Part Number. All rights reserved. Copyright | Terms & Conditions | RF E-Mail Client | Contact Us | Amphenol
2001 TRAFFIC ZONE BOUNDARIES Zone Numbers
Toronto, University of
2001 TRAFFIC ZONE BOUNDARIES Zone Numbers & Detailed Definitions #12;2001 TRAFFIC ZONE BOUNDARIES of Toronto Joint Program in Transportation January 2003 #12;PREFACE This report presents the 2001 traffic zone numbers by local municipalities in the 2001 TTS survey area. The second part presents detailed
Experimental Number Theory Part I : Tower Arithmetic
Zeilberger, Doron
Experimental Number Theory Part I : Tower Arithmetic by Edinah K. Gnang January 15, 2011 1 rooted trees, which we shall here refer to as towers. The bijection between numbers and towers provides by XXX = (xk)1kn , (1) a tower expansion ( or simply a tower ) over XXX is a finite product of iterated
High speed optical quantum random number generation
Weinfurter, Harald
High speed optical quantum random number generation Martin F¨urst1,2,, Henning Weier1,2, Sebastian, ready-for-use quantum random number generator (QRNG) whose stochastic model is based on the ran- domness directly delivered to a PC, generated at a rate of up to 50 Mbit/s, clearly pass all tests relevant
Real numbers and other completions Fred Richman
Richman, Fred
Real numbers and other completions Fred Richman Florida Atlantic University Boca Raton, FL 33431 11 March 2007 Abstract A notion of completeness and completion suitable for use in the absence of countable choice is developed. This encompasses the con- struction of the real numbers as well as the completion
Company number 5857955 Wellcome Trust Finance plc
Rambaut, Andrew
Company number 5857955 Wellcome Trust Finance plc Annual Report and Financial Statements Year ended 30 September 2012 #12;Company number 5857955 Wellcome Trust Finance plc Contents Page Directors Trust Finance plc Directors' Report for the year ended 30 September 2012 Report of the Directors
Company number 5857955 Wellcome Trust Finance plc
Rambaut, Andrew
Company number 5857955 Wellcome Trust Finance plc Annual Report and Financial Statements Year ended 30 September 2013 #12;Company number 5857955 Wellcome Trust Finance plc Contents Page Directors Trust Finance plc Directors' Report For the year ended 30 September 2013 Report of the Directors
Geometrical accumulations and computably enumerable real numbers
Durand-Lose, JÃ©rÃ´me
Geometrical accumulations and computably enumerable real numbers (extended abstract) J and space are continuous and accumulations can be devised to unlimitedly accelerate a computation with rational numbers for coordinates and speeds, the time of any accumulation is a c.e. (compu- tably
Resolution-Stationary Random Number Generators
L'Ecuyer, Pierre
of successive output values over their entire period length. For F2-linear generators, the commonly adopted efficient ways of implementing high-quality and long-period Tausworthe generators. Key words: random number un [0, 1) is the output of the generator at step n and the number of bits in this output, L
SOCIAL SECURITY NUMBER AND NAME VERIFICATION
Amin, S. Massoud
SOCIAL SECURITY NUMBER AND NAME VERIFICATION Academic Year 20142015 *FA552-A* Please recycle. DIRECTIONS--You must verify your name and Social Security number for processing of your 20142015 Free Application for Federal Student Aid (FAFSA) to continue. Please attach a legible copy of your Social Security
SOCIAL SECURITY NUMBER AND NAME VERIFICATION
Amin, S. Massoud
SOCIAL SECURITY NUMBER AND NAME VERIFICATION Academic Year 20132014 *FA552-A* Please recycle. DIRECTIONS--You must verify your name and Social Security number for processing of your 20132014 Free Application for Federal Student Aid (FAFSA) to continue. Please attach a legible copy of your Social Security
Search for lepton-family-number nonconservation
Hoffman, C.M.
1986-01-01T23:59:59.000Z
A review of the status of lepton-family-number nonconservation is given. After a brief historical and theoretical discussion, a description of how experimental searches for lepton-family-number nonconservation are performed is presented. Finally, a summary of the results from past experiments and prospects for future experiments is given.
A Thermodynamic Classification of Real Numbers
Thomas Garrity
2009-03-15T23:59:59.000Z
A new classification scheme for real numbers is given, motivated by ideas from statistical mechanics in general and work of Knauf and of Fiala and Kleban in particular. Critical for this classification of a real number will be the Diophantine properties of its continued fraction expansion.
Compendium of Experimental Cetane Number Data
Murphy, M. J.; Taylor, J. D.; McCormick, R. L.
2004-09-01T23:59:59.000Z
In this report, we present a compilation of reported cetane numbers for pure chemical compounds. The compiled database contains cetane values for 299 pure compounds, including 156 hydrocarbons and 143 oxygenates. Cetane number is a relative ranking of fuels based on the amount of time between fuel injection and ignition. The cetane number is typically measured either in a combustion bomb or in a single-cylinder research engine. This report includes cetane values from several different measurement techniques - each of which has associated uncertainties. Additionally, many of the reported values are determined by measuring blending cetane numbers, which introduces significant error. In many cases, the measurement technique is not reported nor is there any discussion about the purity of the compounds. Nonetheless, the data in this report represent the best pure compound cetane number values available from the literature as of August 2004.
Cervantes, Joel
2002-01-01T23:59:59.000Z
. . . n1 DEDICATION. ACKNOWLEGDEMENTS . . . V1 TABLE OF CONTENTS . vn LIST OF FIGURES. NOMENCLATURE . . INTRODUCTION. LITERATURE SURVEY. EXPERIMENTAL APPARATUS . Xt EXPERIMENTAL PROCEDURE DATA REDUCTION. PRESENTATION & DISCUSSION OF RESULTS..., kg/(m s) Nun~ local Nusselt number //u pa average Nusselt number Nus reference Nusselt number for fully developed turbulent flow in smooth channel POIIII Pv, w atmospheric pressure, N/m 2 vapor pressure on naphthalene surface, N/m 2 P...
Superconducting epitaxial thin films of CeNi{sub x}Bi{sub 2} with a bismuth square net structure
Buckow, Alexander; Kupka, Katharina; Retzlaff, Reiner; Kurian, Jose; Alff, Lambert [Institute of Materials Science, Technische Universitaet Darmstadt, 64287 Darmstadt (Germany)
2012-10-15T23:59:59.000Z
We have grown highly epitaxial and phase pure thin films of the arsenic-free pnictide compound CeNi{sub x}Bi{sub 2} on (100) MgO substrates by reactive molecular beam epitaxy (RMBE). X-ray diffraction and reflection high-energy electron diffraction of the films confirm the ZrCuSiAs structure with a Bi square net layer. Superconductivity was observed in magnetization and resistivity measurements for x= 0.75 to 0.93 in these CeNi{sub x}Bi{sub 2} thin films with the highest critical temperature of 4.05 K and a resistive transition width of 0.1 K for x= 0.86. Our results indicate that thin film deposition by RMBE provides a tool to synthesize high-quality pnictide superconductors of the novel 112 type.
Tan Peiquan; Liu, Y.
1983-07-30T23:59:59.000Z
This article reports on how a Chinese province with a large area of land and a small population has adopted a series of measures to strengthen land management, to stop the illegal occupying of land, and to protect land resources. Investigations of land resources and of the state of land use, as well as soil surveys, have been launched in order to determine the rights of land ownership and use. Many counties and cities have experimented with dividing farm areas into districts and comprehensive land planning, established land files, trained key personnel in land management skills, and have launched scientific land research. Illegal occupation, waste and destruction of land have risen with the increase in population and construction. Per capita cultivated acreage has declined to 4.1 mu. An effort has been made to reach the people in urban and rural areas with this message: ''Cherish every square millimeter of land utterly and use it rationally''.
ON THE PROBLEM OF UNIQUENESS FOR THE MAXIMUM STIRLING NUMBER(S) OF THE SECOND KIND
Pomerance, Carl
ON THE PROBLEM OF UNIQUENESS FOR THE MAXIMUM STIRLING NUMBER(S) OF THE SECOND KIND E. Rodney Say that an integer n is exceptional if the maximum Stirling number of the second kind S(n, k) occurs or equal to x is O(x3/5+ ), for any > 0. 1. Introduction Let S(n, k) be the Stirling number of the second
CORAL Name: STS 1 Model Number: ICP
Reif, Rafael
CORAL Name: STS 1 Model Number: ICP Location: TRL What it does: Deep Silicon Etch Introduction prior to use and to ENGAGE MACHINE prior to starting your process in CORAL. Venting and Loading a Wafer
THE NEW ELEMENT BERKELIUM (ATOMIC NUMBER 97)
Thompson, S.G.; Ghiorso, A.; Seaborg, G.T.
2008-01-01T23:59:59.000Z
NUMBER 97) Stanley G. Thompson, Albert Ghiorso, and Glenn T.Rev Eventually 5 S • G. Thompson, Physo Revo 76, 319 (1949)0~'Street, Ghiorso, and Thompson, unpublished work. UCRL-669
OMB Control Number: 1910-5165 Expires: xxxx201x SEMI-ANNUAL DAVIS-BACON ENFORCEMENT REPORT Please submit this Semi-Annual Davis-Bacon Enforcement Report to your site DOENNSA...
Student ID (R) Number ________________________ Semester/Year______ ________________________
Rock, Chris
Student ID (R) Number ________________________ Semester/Year______ ________________________ THIRD: ______________________________________________________ CHECK ALL THAT APPLY: _____First-time Third Party Student _____TTU Campus Student _____Non sponsor and the Third Party Sponsor Agreement prior to the due date to ensure timely posting of third
Elastic tail propulsion at low Reynolds number
Yu, Tony S. (Tony Sheung)
2007-01-01T23:59:59.000Z
A simple way to generate propulsion at low Reynolds number is to periodically oscillate a passive flexible filament. Here we present a macroscopic experimental investigation of such a propulsive mechanism. A robotic swimmer ...
Carter, Colin A.; Just, David; Zilberman, David; Karp, Larry
2002-01-01T23:59:59.000Z
in California, the major GM crop is cotton. However, biotechor impossible if the GM crop is highly pro- internationala small number of authorized GM crops in the EU. Partly in
Computing the Betti Numbers of Arrangements
2015-08-29T23:59:59.000Z
To our knowledge ... on ?. Categories and Subject Descriptors ... sets defined in terms of such hypersurfaces can be topolog- ... The first bounds on the individual Betti numbers of semi- .... The idea of using filtrations for computing Betti num-.
Unpredictability and the transmission of numbers
Myers, John M
2015-01-01T23:59:59.000Z
Curiously overlooked in physics is its dependence on the transmission of numbers. For example the transmission of numerical clock readings is implicit in the concept of a coordinate system. The transmission of numbers and other logical distinctions is often achieved over a computer-mediated communications network in the face of an unpredictable environment. By unpredictable we mean something stronger than the spread of probabilities over given possible outcomes, namely an opening to unforeseeable possibilities. Unpredictability, until now overlooked in theoretical physics, makes the transmission of numbers interesting. Based on recent proofs within quantum theory that provide a theoretical foundation to unpredictability, here we show how regularities in physics rest on a background of channels over which numbers are transmitted. As is known to engineers of digital communications, numerical transmissions depend on coordination reminiscent of the cycle of throwing and catching by players tossing a ball back and...
Libraries Reference Document Number: 253262-002
Talbot, James P.
Intel® Fortran Libraries Reference Document Number: 253262-002 World Wide Web: http PROPERTY RIGHT. Intel products are not intended for use in medical, life saving, or life sustain- ing.................................................................................... xxiv Chapter 1 Overview of the Libraries Portability Routines
Sequence and Series of Real Numbers 1.1 Sequence of Real Numbers
Nair, M.Thamban
1 Sequence and Series of Real Numbers 1.1 Sequence of Real Numbers Suppose for each positive a sequence, and this ordered list is usually written as (a1, a2, . . . , . . .) or (an) or {an}. More precisely, we define a sequence as follows: Definition 1.1 A sequence of real numbers is a function from
SESAME equation of state number 7740: Polycarbonate
Boettger, J.C.
1991-06-01T23:59:59.000Z
An equation of state (EOS) for polycarbonate (a widely used polymer) has been generated with the computer code GRIZZLY and will be added to the SESAME library as material number 7740. Although a number of the input parameter used in the calculations are based on rough estimates. 7740 provides a good match to experimental Hugoniot data and should be reliable on or near the principal Hugoniot. 6 refs., 1 fig.
Dynamical real numbers and living systems
Dhurjati Prasad Datta
2010-01-11T23:59:59.000Z
Recently uncovered second derivative discontinuous solutions of the simplest linear ordinary differential equation define not only an nonstandard extension of the framework of the ordinary calculus, but also provide a dynamical representation of the ordinary real number system. Every real number can be visualized as a living cell -like structure, endowed with a definite evolutionary arrow. We discuss the relevance of this extended calculus in the study of living systems. We also present an intelligent version of the Newton's first law of motion.
Unpredictability and the transmission of numbers
John M. Myers; F. Hadi Madjid
2015-08-05T23:59:59.000Z
Curiously overlooked in physics is its dependence on the transmission of numbers. For example the transmission of numerical clock readings is implicit in the concept of a coordinate system. The transmission of numbers and other logical distinctions is often achieved over a computer-mediated communications network in the face of an unpredictable environment. By unpredictable we mean something stronger than the spread of probabilities over given possible outcomes, namely an opening to unforeseeable possibilities. Unpredictability, until now overlooked in theoretical physics, makes the transmission of numbers interesting. Based on recent proofs within quantum theory that provide a theoretical foundation to unpredictability, here we show how regularities in physics rest on a background of channels over which numbers are transmitted. As is known to engineers of digital communications, numerical transmissions depend on coordination reminiscent of the cycle of throwing and catching by players tossing a ball back and forth. In digital communications, the players are computers, and the required coordination involves unpredictably adjusting "live clocks" that step these computers through phases of a cycle. We show how this phasing, which we call `logical synchronization,' constrains number-carrying networks, and, if a spacetime manifold in invoked, put "stripes" on spacetime. Via its logically synchronized channels, a network of live clocks serves as a reference against which to locate events. Such a network in any case underpins a coordinate frame, and in some cases the direct use of a network can be tailored to investigate an unpredictable environment. Examples include explorations of gravitational variations near Earth.
True random numbers from amplified quantum vacuum
M. Jofre; M. Curty; F. Steinlechner; G. Anzolin; J. P. Torres; M. W. Mitchell; V. Pruneri
2011-10-17T23:59:59.000Z
Random numbers are essential for applications ranging from secure communications to numerical simulation and quantitative finance. Algorithms can rapidly produce pseudo-random outcomes, series of numbers that mimic most properties of true random numbers while quantum random number generators (QRNGs) exploit intrinsic quantum randomness to produce true random numbers. Single-photon QRNGs are conceptually simple but produce few random bits per detection. In contrast, vacuum fluctuations are a vast resource for QRNGs: they are broad-band and thus can encode many random bits per second. Direct recording of vacuum fluctuations is possible, but requires shot-noise-limited detectors, at the cost of bandwidth. We demonstrate efficient conversion of vacuum fluctuations to true random bits using optical amplification of vacuum and interferometry. Using commercially-available optical components we demonstrate a QRNG at a bit rate of 1.11 Gbps. The proposed scheme has the potential to be extended to 10 Gbps and even up to 100 Gbps by taking advantage of high speed modulation sources and detectors for optical fiber telecommunication devices.
Farritor, Shane
Grant Title: CHILDHOOD OBESITY PREVENTION Funding Opportunity Number: USDA-NIFA-AFRI-004156. CFDA, including food environment, that influence childhood obesity and use this information to develop and obesity and promoting healthy behaviors in children and adolescents. Release and Expiration: Release Date
I-405 To26W est SWPARKAVE Hoffmann Hall SW MARKET SW10th SW11th SW12th Parking Structure 3 Market Hall Blackstone Smith Memorial Student Union Cramer Hall Lincoln Hall SW MARKET SW CLAY SW CLAY Montgomery West Heating Plant SW COLUMBIA SW COLUMBIA Fourth Ave Building N S E W Urban Center Peter W. Stott
Baryon Number as the Fourth Color
Fornal, Bartosz; Tait, Tim M P
2015-01-01T23:59:59.000Z
We propose an extension of the Standard Model in which baryon number is promoted to be part of a non-Abelian gauge symmetry at high energies. Specifically, we consider the gauge group SU(4) x SU(2)_L x U(1)_X, where the SU(4) unifies baryon number and color. This symmetry is spontaneously broken down to the Standard Model gauge group at a scale which can be as low as a few TeV. The SU(4) structure implies that each SM quark comes along with an uncolored quark partner, the lightest of which is stabilized by the generalized baryon number symmetry and can play the role of dark matter. We explore circumstances under which one can realize a model of asymmetric dark matter whose relic abundance is connected to the observed baryon asymmetry, and discuss unique signatures that can be searched for at the LHC.
Probing lepton number violation on three frontiers
Deppisch, Frank F. [Department of Physics and Astronomy, University College London (United Kingdom)
2013-12-30T23:59:59.000Z
Neutrinoless double beta decay constitutes the main probe for lepton number violation at low energies, motivated by the expected Majorana nature of the light but massive neutrinos. On the other hand, the theoretical interpretation of the (non-)observation of this process is not straightforward as the Majorana neutrinos can destructively interfere in their contribution and many other New Physics mechanisms can additionally mediate the process. We here highlight the potential of combining neutrinoless double beta decay with searches for Tritium decay, cosmological observations and LHC physics to improve the quantitative insight into the neutrino properties and to unravel potential sources of lepton number violation.
Compare Activities by Number of Employees
Gasoline and Diesel Fuel Update (EIA)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production% of Total ResidentialDecade67,338A 623 42 18012 2006-2010Number ofNumber of
Ellison, Chad M. (Honeywell FM& T, Kansas City, MO); Perricone, Matthew; Faraone, Kevin M. (Honeywell FM& T, Kansas City, MO); Roach, Robert Allen; Norris, Jerome T.
2007-02-01T23:59:59.000Z
Nd:YAG laser joining is a high energy density (HED) process that can produce high-speed, low-heat input welds with a high depth-to-width aspect ratio. This is optimized by formation of a ''keyhole'' in the weld pool resulting from high vapor pressures associated with laser interaction with the metallic substrate. It is generally accepted that pores form in HED welds due to the instability and frequent collapse of the keyhole. In order to maintain an open keyhole, weld pool forces must be balanced such that vapor pressure and weld pool inertia forces are in equilibrium. Travel speed and laser beam power largely control the way these forces are balanced, as well as welding mode (Continuous Wave or Square Wave) and shielding gas type. A study into the phenomenon of weld pool porosity in 304L stainless steel was conducted to better understand and predict how welding parameters impact the weld pool dynamics that lead to pore formation. This work is intended to aid in development and verification of a finite element computer model of weld pool fluid flow dynamics being developed in parallel efforts and assist in weld development activities for the W76 and future RRW programs.
M. Sereno; J. A. Peacock
2006-05-19T23:59:59.000Z
Deviations from the gravitational inverse-square law would imprint scale-dependent features on the power spectrum of mass density fluctuations. We model such deviations as a Yukawa-like contribution to the gravitational potential and discuss the growth function in a mixed dark matter model with adiabatic initial conditions. Evolution of perturbations is considered in general non-flat cosmological models with a cosmological constant, and an analytical approximation for the growth function is provided. The coupling between baryons and cold dark matter across recombination is negligibly affected by modified gravity physics if the proper cutoff length of the long-range Yukawa-like force is > 10 h^{-1} Mpc. Enhancement of gravity affects the subsequent evolution, boosting large-scale power in a way that resembles the effect of a lower matter density. This phenomenon is almost perfectly degenerate in power-spectrum shape with the effect of a background of massive neutrinos. Back-reaction on density growth from a modified cosmic expansion rate should however also affect the normalization of the power spectrum, with a shape distortion similar to the case of a non-modified background.
Janow, Rich
conductor is A) B) R C) R D) 3R E) 9R 16. Light bulb A is rated at 60 W and light bulb B is rated at 100 W. Both are designed to operate at 110 V. Which statement is correct? A) The 60 W bulb has a greater resistance and greater current than the 100 W bulb. B) The 60 W bulb has a greater resistance and smaller
Alver, Burak Han
Measurements of the total and differential cross sections d?/dpTB [d delta / d p superscript B subscript T] and d?/dyB [d delta / d y superscript B] for B+ [B superscript +] mesons produced in pp collisions at ?s=7?[square ...
Alver, Burak Han
A search for quark compositeness in the form of quark contact interactions, based on hadronic jet pairs (dijets) produced in proton-proton collisions at ?s=7??[square root of s=7] TeV, is described. The data sample of the ...
Lee, Carl
Area and Volume Problems 1. Given the formula for the area of a square, derive the formula for the area of a rectangle of dimensions a and b. 2. Given the formula for the area of a rectangle, derive the formula for the area of a parallelogram of base b and height h. 3. Use calculus to derive the formula
3180 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 55, NO. 9, SEPTEMBER 2008 Digital Control of a Low-Frequency Square-Wave Electronic Ballast With Resonant Ignition F. Javier Díaz, Francisco J) electronic ballast with digital control. The first stage of the ballast is a power factor correction (PFC
26.1 / M. Doshi 26.1: Low-Frequency Square-Wave Drive for Large Screen LCD-TV
with accurate current control and regulation. The most common electronic ballasts, based on high frequency LCC and removes many of the drawbacks associated with a high frequency drive, including energy loss through26.1 / M. Doshi 26.1: Low-Frequency Square-Wave Drive for Large Screen LCD-TV Backlighting Systems
Search for rare events in [the square root of sigma nu nu] = 200 GeV Au+Au PHOBOS data
Mott, Alexander (Alexander Robert)
2009-01-01T23:59:59.000Z
In this analysis, we set an upper bound on the rate of rare events: events whose dN/dn distribution deviates more than statistically from the ensemble average dN/dn distribution for s [the square root of sigma nu nu] = 200 ...
Likos, Christos N.
Anisotropic mean-square displacements in two-dimensional colloidal crystals of tilted dipoles V. A the crystal aniso- tropy or not. Here we study an anisotropic two-dimensional colloidal crystal composed; revised manuscript received 7 February 2005; published 31 March 2005 Superparamagnetic colloidal particles
Everaerts, Pieter Bruno Bart
2011-01-01T23:59:59.000Z
From March until November 2010 the Compact Muon Solenoid 36 pb-1 of pp collisions at [the square root of sigma]= 7 TeV. One of the first precision Model that can be performed with this data is the measurement cross section ...
Roland, Christof E.
The momentum correlation between protons and ? [lambda] particles emitted from central Pb+Pb collisions at ?sNN=17.3 [square root of s subscript NN = 17.3] GeV was studied by the NA49 experiment at the CERN Super Proton ...
Rontogiannis, Athanasios A.
IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 58, NO. 5, MAY 2010 2911 Fig. 3 shows the mean square. Mergen and L. Tong, "Type based estimation over multiaccess chan- nels," IEEE Trans. Signal Process., vol Trans. Signal Process., vol. 55, no. 11, pp. 51555166, Nov. 2007. [7] K. S. Gomadam and S. A. Jafar
The New Element Curium (Atomic Number 96)
DOE R&D Accomplishments [OSTI]
Seaborg, G. T.; James, R. A.; Ghiorso, A.
1948-00-00T23:59:59.000Z
Two isotopes of the element with atomic number 96 have been produced by the helium-ion bombardment of plutonium. The name curium, symbol Cm, is proposed for element 96. The chemical experiments indicate that the most stable oxidation state of curium is the III state.
Code Number: Department of Mechanical Engineering
Feeny, Brian
that the drag force on a plate of length L is given by = L wallD wdxxF 0 )( , calculate the overall drag if the Reynolds number ReL is large making the drag coefficient small, the drag force FD becomes large. Use of a falling sphere depends on the sphere diameter, sphere density, fluid density, fluid viscosity
TEXAS MEMORIAL MUSEUM Speleological Monographs, Number 7
Suarez, Andrew V.
TEXAS MEMORIAL MUSEUM Speleological Monographs, Number 7 Studies on the CAVE AND ENDOGEAN FAUNA Science Research Laboratory Museum of Texas Tech University, 3301 4th Street Lubbock, Texas 79409 U.S.A. Email: james.cokendolpher@ttu.edu and James R. Reddell Texas Natural Science Center The University
Oklahoma Number of Natural Gas Consumers
Gasoline and Diesel Fuel Update (EIA)
923,650 924,745 914,869 922,240 927,346 931,981 1987-2013 Sales 914,869 922,240 927,346 931,981 1997-2013 Transported 0 0 0 0 1997-2013 Commercial Number of Consumers 94,247 94,314...
Policy Title: Policy Number: Federal Student Aid
Franco, John
. All such officials shall further distribute the Code to their direct and indirect reports who havePolicy Title: Policy Number: Federal Student Aid Code of Conduct 1.3.3 Category: Administrative Office of the Bursar University of Cincinnati Federal Student Aid Code of Conduct, page 1 of 5 Background
NUMBER: 1530 TITLE: Code of Student Conduct
. For the purposes of this Code, the term "University Official" is inclusive of "Faculty Member" as defined in IV 1530 1 NUMBER: 1530 TITLE: Code of Student Conduct APPROVED: August 27, 1970; Revised June 14, 2012 I. BASIS AND RATIONALE FOR A CODE OF STUDENT CONDUCT Old Dominion University
CORAL Name: STS 2 Model Number: ICP
Reif, Rafael
CORAL Name: STS 2 Model Number: ICP Location: TRL Introduction: The ST Systems Multiplex ICP tool prior to starting your process in CORAL. Loading a Wafer: The wafer is loaded into the system using of the tool. #12;If there are any issues with the tool post a comment in CORAL and contact Donal 2-2983. #12;
New Mexico Number of Natural Gas Consumers
Gasoline and Diesel Fuel Update (EIA)
556,905 560,479 559,852 570,637 561,713 572,224 1987-2013 Sales 559,825 570,592 561,652 572,146 1997-2013 Transported 27 45 61 78 1997-2013 Commercial Number of Consumers 49,235...
Vermont Number of Natural Gas Consumers
Gasoline and Diesel Fuel Update (EIA)
35,929 37,242 38,047 38,839 39,917 41,152 1987-2013 Sales 38,047 38,839 39,917 41,152 1997-2013 Commercial Number of Consumers 4,980 5,085 5,137 5,256 5,535 5,441 1987-2013 Sales...
Customer Service Specialist Job Number: 54844874
Heller, Barbara
Customer Service Specialist Job Number: 54844874 Company Name: Baxter International, Inc Job to the customer and/or the sales team including any corrective actions needed to prevent the failure in the future: Medical Information, Distribution Centers, Planning and Deployment, Credit and Collections, Customer
Texas Rice, Volume V, Number 8
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas October 2005 Volume V Number 8 Texas Rice Precision Ag: Realizing the Potential continued on page 6 Precision farming technology, or site... Agriculture ..................................5 In-Field Spectral Reflectance .............................................7 First Aerial Seeded Rice in Texas .......................................8 Leonards Agricultural Museum...
Texas Rice, Volume VII, Number 7
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas September 2007 Volume VII Number 7 Texas Rice Nobel Peace Prize Recipient Dr. Norman Borlaug continued on page 4 September of 2003 was a time etched... Rice Water Weevil ...............................................................3 iAIMS ................................................................................. 6 TRIA Update...
Department.: Marketing Course number: MKTG 4997W
Alpay, S. Pamir
Department.: Marketing Course number: MKTG 4997W Course title: Senior Thesis in Marketing Credits that it become a 'W' course: 4997. Senior Thesis in Marketing (296) Either semester. Three credits. Hours by arrangement. Prerequisite: Open only to Marketing Department Honor Students with consent of instructor
Clar number of catacondensed benzenoid hydrocarbons
Klavzar, Sandi
Clar number of catacondensed benzenoid hydrocarbons Sandi Klavzara, , Petra Zigerta , Ivan Gutmanb sextets in any of the Clar formulae) of a catacondensed benzenoid hydrocarbon: CL is equal to the minimum; Resonance graph; Benzenoid hydrocarbons 1. Introduction Within the theory that was formulated [1, 2
Preferential Path Profiling: Compactly Numbering Interesting Paths
Chilimbi, Trishul
preferential path profiling (PPP), that reduces the overhead of path profiling. PPP leverages the observation that most consumers of path profiles are only inter- ested in a subset of all program paths. PPP achieves produced by PPP. This compact path numbering enables our PPP implementation to record path information
NUMBER: 1626 TITLE: Information Technology Management
cost of more than $100,000 but less than $1 million. E. University Advisory Council on Technology (UACT technology project estimated to cost $1 million or more or deemed to be mission-critical. VI. Designated1626 - 1 NUMBER: 1626 TITLE: Information Technology Management APPROVED: September 9, 2005 I
Maine Number of Natural Gas Consumers
Gasoline and Diesel Fuel Update (EIA)
9,571 20,806 21,142 22,461 23,555 24,765 1987-2013 Sales 21,141 22,461 23,555 24,765 1997-2013 Transported 1 0 0 0 2010-2013 Commercial Number of Consumers 8,491 8,815 9,084 9,681...
Code Number :.............. HEAT TRANSFER QUALIFYING EXAM
Feeny, Brian
is at 40 °C, estimate the heat transfer per unit length by radiation and convection between the twoCode Number :.............. HEAT TRANSFER QUALIFYING EXAM January 2010 OPEN BOOK (only one book) The heat transfer coefficient c) The length of pipe needed for a 35 °C increase in mean temperature d
Department: Statistics Course number: STAT 202W
Alpay, S. Pamir
Department: Statistics Course number: STAT 202W Title: Undergraduate Seminar II Credits: 1 Contact, and choose one statistical topic to investigate in detail. The student will write a well revised will attend 6-8 seminars per semester, and choose one statistical topic to investigate in detail. The student
Volume 89 number 44 28 october 2008
Mcdonough, William F.
Volume 89 number 44 28 october 2008 pages 433444 Eos, Vol. 89, No. 44, 28 October 2008 EOS, Tran.Mahoney Geoneutrino Measurements and Models Investigate Deep Earth PAGES 433434 #12;Eos, Vol. 89, No. 44, 28 October 2008 uranium-238, thorium-232, and potassium- 40. Neutrinos and their antiparticles, anti- neutrinos
The 17 GHz active region number
Selhorst, C. L.; Pacini, A. A. [IP and D-Universidade do Vale do Paraíba-UNIVAP, São José dos Campos (Brazil); Costa, J. E. R. [CEA, Instituto Nacional de Pesquisas Espaciais, São José dos Campos (Brazil); Giménez de Castro, C. G.; Valio, A. [CRAAM, Universidade Presbiteriana Mackenzie, São Paulo (Brazil); Shibasaki, K., E-mail: caius@univap.br [Nobeyama Solar Radio Observatory/NAOJ, Minamisaku, Nagano 384-1305 (Japan)
2014-08-01T23:59:59.000Z
We report the statistics of the number of active regions (NAR) observed at 17 GHz with the Nobeyama Radioheliograph between 1992, near the maximum of cycle 22, and 2013, which also includes the maximum of cycle 24, and we compare with other activity indexes. We find that NAR minima are shorter than those of the sunspot number (SSN) and radio flux at 10.7 cm (F10.7). This shorter NAR minima could reflect the presence of active regions generated by faint magnetic fields or spotless regions, which were a considerable fraction of the counted active regions. The ratio between the solar radio indexes F10.7/NAR shows a similar reduction during the two minima analyzed, which contrasts with the increase of the ratio of both radio indexes in relation to the SSN during the minimum of cycle 23-24. These results indicate that the radio indexes are more sensitive to weaker magnetic fields than those necessary to form sunspots, of the order of 1500 G. The analysis of the monthly averages of the active region brightness temperatures shows that its long-term variation mimics the solar cycle; however, due to the gyro-resonance emission, a great number of intense spikes are observed in the maximum temperature study. The decrease in the number of these spikes is also evident during the current cycle 24, a consequence of the sunspot magnetic field weakening in the last few years.
Reference number ISO 8601:2004(E)
Wu, Shiliang
Reference number ISO 8601:2004(E) © ISO 2004 INTERNATIONAL STANDARD ISO 8601 Third edition 2004'heure #12;ISO 8601:2004(E) PDF disclaimer This PDF file may contain embedded typefaces. In accordance. The ISO Central Secretariat accepts no liability in this area. Adobe is a trademark of Adobe Systems
Paper Preview Paper Number 15730-MS
Abu-Khamsin, Sidqi
. The pore pressure was maintained atmospheric. pressure was maintained atmospheric. Examination of the dataPaper Preview Paper Number 15730-MS Title The Effect of Overburden Pressure on Relative overburden (confining) pressure. Using these data to predict reservoir performance or estimate reserves can
South Carolina Number of Natural Gas Consumers
Gasoline and Diesel Fuel Update (EIA)
561,196 565,774 570,797 576,594 583,633 593,286 1987-2013 Sales 570,797 576,594 583,633 593,286 1997-2013 Commercial Number of Consumers 56,317 55,850 55,853 55,846 55,908 55,997...
North Carolina Number of Natural Gas Consumers
Gasoline and Diesel Fuel Update (EIA)
,095,362 1,102,001 1,115,532 1,128,963 1,142,947 1,161,398 1987-2013 Sales 1,115,532 1,128,963 1,142,947 1,161,398 1997-2013 Commercial Number of Consumers 111,868 113,630 113,900...
QUARTERLY OF APPLIED MATHEMATICS VOLUME , NUMBER 0
Zhu, Song Chun
reweighting the energy function. We construct ELMs in the model space for two classic statistical learning, two-step EM and Swendsen-Wang cuts, in the energy landscapes. 1. Introduction. In many statisticalQUARTERLY OF APPLIED MATHEMATICS VOLUME , NUMBER 0 XXXX XXXX, PAGES 000Â000 MAPPING ENERGY
Department: HISTORY Course number: 3551 W
Alpay, S. Pamir
Department: HISTORY Course number: 3551 W Course title: Topics in U.S. Legal History Credits: 3 Contact Person: Sherri Olson Q/W: W Catalog Copy:HIST 3551W [248W]. Topics in U.S.Legal History. 3 credits
Page 1 of 33 3 STYLE HEADING NUMBER FOR CHP. (USED FOR FIG. NUMBERING)
Baker, Jack W.
Page 1 of 33 3 STYLE HEADING NUMBER FOR CHP. (USED FOR FIG. NUMBERING) ACCOUNTING FOR GROUND MOTION intensities considered in the original building design. For modern buildings in the western United States for this spectral shape effect is through selection of a set of ground motions that is specific to the building
Call Numbers Explained 1 8/23/2012 Call Numbers Explained
Su, Xiao
. The second method is the Library of Congress Classification system, which is used to identify university. In the library, books are organized by call number. 3. A call number classifies a book by its subject and tells in the library. 6. The King Library is unusual because it is both a public library and a university library
s Rated Btu input Condition s Combustion air: is there at least one square inch free area per 2,000 Btu input? s Fuel or combustion odors Cooling Tower s Clean? no leaks or overflow? Slime or algae growth? s Waste oil and refrigerant properly stored and disposed of? #12;Building Name
Magnetic properties of the S=1/2 square lattice antiferromagnet CuF2(H2O)2(pyz)
Wang, Cuihuan [ORNL; Lumsden, Mark D [ORNL; Fishman, Randy Scott [ORNL; Ehlers, Georg [ORNL; Hong, Tao [ORNL; Tian, Wei [ORNL; Cao, Huibo [ORNL; Podlesnyak, Andrey A [ORNL; Dunmars, C [Argonne National Laboratory (ANL); Schlueter, J. A. [Argonne National Laboratory (ANL); Manson, J. L. [Eastern Washington University; Christianson, Andrew D [ORNL
2012-01-01T23:59:59.000Z
We have performed elastic and inelastic neutron scattering experiments on single crystal samples of the coordination polymer compound CuF{sub 2}(H{sub 2}O){sub 2}(pyz) (pyz = pyrazine) to study the magnetic structure and excitations. The elastic neutron diffraction measurements indicate a collinear antiferromagnetic structure with moments oriented along the [0.7 0 1] real-space direction and an ordered moment of 0.60 {+-} 0.03 {micro}B/Cu. This value is significantly smaller than the single-ion magnetic moment, reflecting the presence of strong quantum fluctuations. The spin wave dispersion from magnetic zone center to the zone boundary points (0.5 1.5 0) and (0.5 0 1.5) can be described by a two-dimensional Heisenberg model with a nearest-neighbor magnetic exchange constant J{sub 2D} = 0.934 {+-} 0.0025 meV. The interlayer interaction J{sub perp} in this compound is less than 1.5% of J{sub 2D}. The spin excitation energy at the (0.5 0.5 0.5) zone boundary point is reduced when compared to the (0.5 1 0.5) zone boundary point by {approx}10.3% {+-} 1.4%. This zone boundary dispersion is consistent with quantum Monte Carlo and series expansion calculations for the S=1/2 Heisenberg square lattice antiferromagnet, which include corrections for quantum fluctuations to linear spin wave theory.
Sensitivity in risk analyses with uncertain numbers.
Tucker, W. Troy; Ferson, Scott
2006-06-01T23:59:59.000Z
Sensitivity analysis is a study of how changes in the inputs to a model influence the results of the model. Many techniques have recently been proposed for use when the model is probabilistic. This report considers the related problem of sensitivity analysis when the model includes uncertain numbers that can involve both aleatory and epistemic uncertainty and the method of calculation is Dempster-Shafer evidence theory or probability bounds analysis. Some traditional methods for sensitivity analysis generalize directly for use with uncertain numbers, but, in some respects, sensitivity analysis for these analyses differs from traditional deterministic or probabilistic sensitivity analyses. A case study of a dike reliability assessment illustrates several methods of sensitivity analysis, including traditional probabilistic assessment, local derivatives, and a ''pinching'' strategy that hypothetically reduces the epistemic uncertainty or aleatory uncertainty, or both, in an input variable to estimate the reduction of uncertainty in the outputs. The prospects for applying the methods to black box models are also considered.
Automatic Sets of Rational Numbers Eric Rowland
Rowland, Eric
Automatic Sets of Rational Numbers Eric Rowland UniversitÂ´e de Li`ege DÂ´epartement de Math Abstract The notion of a k-automatic set of integers is well-studied. We develop a new notion -- the k-automatic recall a well-studied concept, that of k-automatic set (see, e.g., [8, 9, 2]): Definition 1. We say
Automatic Sets of Rational Numbers Eric Rowland
Rowland, Eric
Automatic Sets of Rational Numbers Eric Rowland Universitâ??e de Liâ??ege Dâ??epartement de Math Abstract The notion of a kÂautomatic set of integers is wellÂstudied. We develop a new notion --- the kÂautomatic, as follows: [L] k = {[w] k : w # L}. (2) We now recall a wellÂstudied concept, that of kÂautomatic set (see
Texas Rice, Volume IV, Number 8
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas October 2004 Volume IV Number 8 Texas Rice A Brief Overview of Biological Weed Control Weeds are estimated to cause more than $40 billion in annual... This Issue Pest Management in Stored Rice ................................... 3 USDA Funds Awarded for Marker Research ................. 4 Researcher in the News: Dr. Ted Wilson ........................ 6 USRPA Campaign for Agriculture...
Texas Rice, Volume 1, Number 8
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas October 2001 Volume I Number 8 Texas Rice Combine Harvester Efficiency: Material Other Than Grain Or Money On The Ground? continued on page 6 From... such observations it is easy to conclude that rice combines are extremely efficient. But this might be misleading, given that the choppers and spreaders do a good job of cutting plant material, including grains, into small pieces. How much rice does a combine leave...
Texas Rice, Volume II, Number 2
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas April 2002 Volume II Number 2 Texas Rice Red Rice: Classification, Containment and Control continued on page10 What exactly is the noxious weed... known as red rice ? Scien- tists used to think that all red rice found in the United States could be classified as Oryza sativa sub- species indica. That was before Dr. William Park and his team of graduate students, along with Dr. Mike Chandler...
Texas Rice, Volume IV, Number 6
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas August 2004 Volume IV Number 6 Texas Rice Bacterial and Fungal Endophytes in Rice Endophytes are plant-associ- ated organisms that often form... plant/endophyte associations, may infer resistance to insects such as aphids and armyworms. The following is a layman’s review of research conducted by scientists worldwide on endophytic continued on page 4 associations that pertain to rice pro- duction...
Texas Rice, Volume III, Number 7
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas September 2003 Volume III Number 7 Texas Rice The Agriculture Program at Texas A&M University The Texas A&M Uni- versity System has one... in their home countries. Agencies within the Agri- culture Program include Texas Cooperative Extension (Texas Rice April 2003), Texas Forest Service, Texas Veterinary Medical Diagnostic Labora- tory, the Texas Wildlife Man- agement Service and Texas Agricultural...
Texas Rice, Volume V, Number 2
are just some of the wading birds that make use of the wetland year-round. Visi- tors can easily enjoy views of the units from adjacent roads and a newly constructed overlook. A number of these permanent water structures have been made possible through.... Editing by Ted Wilson, Jay Cockrell and Brandy Morace, with additional support by Jim Medley. Information is taken from sources believed to be reliable, but we cannot guarantee accuracy or completeness. Suggestions, story ideas and comments are encouraged...
Texas Rice, Volume V, Number 8
2005-01-01T23:59:59.000Z
possible by Global Positioning System (GPS). Signals from earth orbiting satellites are used to locate posi- tions on the face of the earth, vir- tually instantly and with a great degree of accuracy. A Geographic Information System (GIS) is a soft- ware... and struggling, or even dying, in other parts. Numbers 2 and 3 present the greatest challenges, in IKONOS Satellite Photo 2 From the Editor... Inside This Issue Variable Rate N Applications ........................................ 3 New Tool For Precision...
Fractal sets of dual topological quantum numbers
Wellington da Cruz
2004-06-18T23:59:59.000Z
The universality classes of the quantum Hall transitions are considered in terms of fractal sets of dual topological quantum numbers filling factors, labelled by a fractal or Hausdorff dimension defined into the interval $1 < h < 2$ and associated with fractal curves. We show that our approach to the fractional quantum Hall effect-FQHE is free of any empirical formula and this characteristic appears as a crucial insight for our understanding of the FQHE. According to our formulation, the FQHE gets a fractal structure from the connection between the filling factors and the Hausdoff dimension of the quantum paths of particles termed fractons which obey a fractal distribution function associated with a fractal von Neumann entropy. This way, the quantum Hall transitions satisfy some properties related to the Farey sequences of rational numbers and so our theoretical description of the FQHE establishes a connection between physics, fractal geometry and number theory. The FQHE as a convenient physical system for a possible prove of the Riemann hypothesis is suggested.
About the logic of the prime number distribution
Harry K. Hahn
2008-01-28T23:59:59.000Z
There are two basic number sequences which play a major role in the prime number distribution. The first Number Sequence SQ1 contains all prime numbers of the form 6n+5 and the second Number Sequence SQ2 contains all prime numbers of the form 6n+1. All existing prime numbers seem to be contained in these two number sequences, except of the prime numbers 2 and 3. Riemanns Zeta Function also seems to indicate, that there is a logical connection between the mentioned number sequences and the distribution of prime numbers. This connection is indicated by lines in the diagram of the Zeta Function, which are formed by the points s where the Zeta Function is real. Another key role in the distribution of the prime numbers plays the number 5 and its periodic occurrence in the two number sequences SQ1 and SQ2. All non-prime numbers in SQ1 and SQ2 are caused by recurrences of these two number sequences with increasing wave-lengths in themselves, in a similar fashion as Overtones (harmonics) or Undertones derive from a fundamental frequency. On the contrary prime numbers represent spots in these two basic Number Sequences SQ1 and SQ2 where there is no interference caused by these recurring number sequences. The distribution of the non-prime numbers and prime numbers can be described in a graphical way with a -Wave Model- (or Interference Model) -- see Table 2.
Aalberts, Daniel P.
, Williams must continue to find ways to reduce energy use and to ensure that new building and renovation of service. 2. The planning and design of a building or renovation program will establish energy goals% to 2.4 million square feet. At the same time, its energy use per square foot increased 20%. The student
Halo occupation numbers and galaxy bias
J. A. Peacock; R. E. Smith
2000-06-30T23:59:59.000Z
We propose a heuristic model that displays the main features of realistic theories for galaxy bias. We show that the low-order clustering statistics of the dark-matter distribution depend almost entirely on the locations and density profiles of dark-matter haloes. A hypothetical galaxy catalogue depends on (i) the efficiency of galaxy formation, as manifested by the halo occupation number -- the number of galaxies brighter than some sample limit contained in a halo of a given mass; (ii) the location of these galaxies within their halo. The first factor is constrained by the empirical luminosity function of groups. For the second factor, we assume that one galaxy marks the halo centre, with any remaining galaxies acting as satellites that trace the halo mass. These simple assumptions amount to a recipe for non-local bias, in which the probability of finding a galaxy is not a simple function of its local mass density. We have applied this prescription to some CDM models of current interest, and find that the predictions are close to the observed galaxy correlations for a flat $\\Omega=0.3$ model ($\\Lambda$CDM), but not for an $\\Omega=1$ model with the same power spectrum ($\\tau$CDM). This is an inevitable consequence of cluster normalization for the power spectra: cluster-scale haloes of given mass have smaller core radii for high $\\Omega$, and hence display enhanced small-scale clustering. Finally, the pairwise velocity dispersion of galaxies in the $\\Lambda$CDM model is lower than that of the mass, allowing cluster-normalized models to yield a realistic Mach number for the peculiar velocity field. This is largely due to the strong variation of galaxy-formation efficiency with halo mass that is required in this model.
Texas Rice, Volume V, Number 3
. If it remains unused for extended periods of time, like 3 years, the land be- comes useless for rice farming. Moreover, industry representatives are dwindling. Farm machines, the John Deere stores, they are disap- pearing. Each year, older farmers quit or retire...Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas May 2005 Volume V Number 3 Texas Rice The following is an excerpt of a speech delivered to the U.S. House of Representatives, April 28, 2005...
Texas Rice, Volume IV, Number 7
have from 1-8 markers multiplexed. Last year they produced 1.3 million data points using 3 machines, about 25,000 data points a week – or about 8,333 data points per machine per week. RiceTec continued... continued on next page seed from parent lines...Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas September 2004 Volume IV Number 7 Texas Rice Hybrid Rice: Another Tool in Varietal Improvement The breeding method in which crosses are made between...
Texas Rice, Volume VII, Number 7
2007-01-01T23:59:59.000Z
Texas A&M University System Agricultural Research and Extension Center Beaumont, Texas September 2007 Volume VII Number 7 Texas Rice Nobel Peace Prize Recipient Dr. Norman Borlaug continued on page 4 September of 2003 was a time etched... Tabien, and Dr. Lee Tarpley. Four years ago this month, the Texas A&M Research and Exten- sion Center at Beaumont was hon- ored to welcome one of the most influential people in agriculture. Nobel Peace Prize recipient, Dr. Norman Borlaug, has a long...
Compare Activities by Number of Computers
Gasoline and Diesel Fuel Update (EIA)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production% of Total ResidentialDecade67,338A 623 42 18012 2006-2010Number of
Health Code Number (HCN) Development Procedure
Petrocchi, Rocky; Craig, Douglas K.; Bond, Jayne-Anne; Trott, Donna M.; Yu, Xiao-Ying
2013-09-01T23:59:59.000Z
This report provides the detailed description of health code numbers (HCNs) and the procedure of how each HCN is assigned. It contains many guidelines and rationales of HCNs. HCNs are used in the chemical mixture methodology (CMM), a method recommended by the department of energy (DOE) for assessing health effects as a result of exposures to airborne aerosols in an emergency. The procedure is a useful tool for proficient HCN code developers. Intense training and quality assurance with qualified HCN developers are required before an individual comprehends the procedure to develop HCNs for DOE.
Collective Property of Numbers and Its Mathematical Refutation
Guang-Liang Li; Victor O. K. Li
2008-12-18T23:59:59.000Z
A number has the "collective" property if the number is the greatest lower bound of a bounded, strictly decreasing sequence on the real line. We prove that numbers with the collective property constitute an empty set.
Pure and Applied Mathematics Quarterly Volume 2, Number 2
Waldschmidt, Michel
Keywords: Periods, transcendental numbers, irrationality, integrals, series, Diophantine approximation, irrationality measures, transcendence measures, measures of algebraic independence, Gamma function, Beta: to decide whether a period is a rational number, an irrational algebraic number or else a tran- scendental
ON STIRLING NUMBERS FOR COMPLEX ARGUMENTS AND HANKEL CONTOURS
Prodinger, Helmut
ON STIRLING NUMBERS FOR COMPLEX ARGUMENTS AND HANKEL CONTOURS provide a natural generalization of Stirling numbers for unrestricted complex values. Introduction Richmond and Merlini have introduced in [5] an extension of Stirling's subset numbers xy
The New Element Californium (Atomic Number 98)
DOE R&D Accomplishments [OSTI]
Seaborg, G. T.; Thompson, S. G.; Street, K. Jr.; Ghiroso, A.
1950-06-19T23:59:59.000Z
Definite identification has been made of an isotope of the element with atomic number 98 through the irradiation of Cm{sup 242} with about 35-Mev helium ions in the Berkeley Crocker Laboratory 60-inch cyclotron. The isotope which has been identified has an observed half-life of about 45 minutes and is thought to have the mass number 244. The observed mode of decay of 98{sup 244} is through the emission of alpha-particles, with energy of about 7.1 Mev, which agrees with predictions. Other considerations involving the systematics of radioactivity in this region indicate that it should also be unstable toward decay by electron capture. The chemical separation and identification of the new element was accomplished through the use of ion exchange adsorption methods employing the resin Dowex-50. The element 98 isotope appears in the eka-dysprosium position on elution curves containing berkelium and curium as reference points--that is, it precedes berkelium and curium off the column in like manner that dysprosium precedes terbium and gadolinium. The experiments so far have revealed only the tripositive oxidation state of eka-dysprosium character and suggest either that higher oxidation states are not stable in aqueous solutions or that the rates of oxidation are slow. The successful identification of so small an amount of an isotope of element 98 was possible only through having made accurate predictions of the chemical and radioactive properties.
Natural occupation numbers: When do they vanish?
Giesbertz, K J H
2013-01-01T23:59:59.000Z
The non-vanishing of the natural orbital occupation numbers of the one-particle density matrix of many-body systems has important consequences for the existence of a density matrix-potential mapping for nonlocal potentials in reduced density matrix functional theory and for the validity of the extended Koopmans' Theorem. On the basis of Weyl's theorem we give a connection between the differentiability properties of the ground state wave function and the rate at which the natural occupations approach zero when ordered as a descending series. We show, in particular, that the presence of a Coulomb cusp in the wave function leads, in general, to a power law decay of the natural occupations, whereas infinitely differentiable wave-functions typically have natural occupations that decay exponentially. We analyze for a number of explicit examples of two-particle systems that in case the wave function is non-analytic at its spatial diagonal (for instance, due to the presence of a Coulomb cusp) the natural orbital occu...
Modeling the Number of Ignitions Following an Earthquake: Developing...
Office of Environmental Management (EM)
Modeling the Number of Ignitions Following an Earthquake: Developing Prediction Limits for Overdispersed Count Data Modeling the Number of Ignitions Following an Earthquake:...
Fact #857 January 26, 2015 Number of Partner Workplaces Offering...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
7 January 26, 2015 Number of Partner Workplaces Offering Electric Vehicle Charging More Than Tripled Since 2011 Fact 857 January 26, 2015 Number of Partner Workplaces Offering...
CONTROL CHART DASHBOARDS MANAGING YOUR NUMBERS INSTEAD OF YOU NUMBER MANAGING YOU
PREVETTE, S.S.
2006-11-15T23:59:59.000Z
This paper, which documents Fluor Hanford's application of Statistical Process Control (SPC) and Dashboards to support planning and decision making, is a sequel to ''Leading with Leading Indicators'' that was presented at WM 05. This year's paper provides more detail on management's use of SPC and control charts and discusses their integration into an executive summary using the popular color-cod3ed dashboard methodology. Fluor Hanford has applied SPC in a non-traditional (that is non-manufacturing) manner. Dr. Shewhart's 75-year-old control-chart methodologies have been updated to modern data processing, but are still founded on his sound, tried and true principles. These methods are playing a key role in safety and quality at what has been called the world's largest environmental cleanup project. The US Department of Energy's (DOE's) Hanford Site played a pivotal role in the nation's defense, beginning in the 1940s when it was established as part of the Manhattan Project. After more than 50 years of producing nuclear weapons, Hanford--which covers 586 square miles in southeastern Washington state--is now focused on three outcomes: (1) restoring the Columbia River corridor for multiple uses; (2) transitioning the central plateau to support long-term waste management; and (3) putting DOE assets to work for the future.
The Number of Planets Around Stars
Noam Soker
1997-06-24T23:59:59.000Z
Based on the large number of elliptical planetary nebulae I argue that about 55 per cent of all progenitors of planetary nebulae have planets around them. The planets spin up the stars when the later evolve along the red giant branch or along the asymptotic giant branch. The arguments, which were presented in several of my earlier works, and are summarized in the paper, suggest that the presence of four gas-giant planets in the solar system is the generality rather than the exception. I here continue and: (1) examine the possibility of detecting signatures of surviving Saturn-like planets inside planetary nebulae, and, (2) propose a model by which the second parameter of the horizontal branch, which determines the distribution of horizontal branch stars in the HR diagram, is the presence of planets. A red giant branch star that interacts with a planet will lose a large fraction of its envelope and will become a blue horizontal branch star.
Stirling numbers of forests and cycles David Galvin
Galvin, David
Stirling numbers of forests and cycles David Galvin Do Trong Thanh June 15, 2012 Abstract For a graph G and a positive integer k, the graphical Stirling number S(G, k) is the number of partitions. If G is the empty graph on n vertices then S(G, k) reduces to S(n, k), the familiar Stirling number
On Stirling numbers and Euler sums Victor Adamchik
Adamchik, Victor
On Stirling numbers and Euler sums Victor Adamchik Wolfram Research Inc., 100 Trade Center Dr of Stirling numbers of the first kind for nonÂinteger values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hyÂ pergeometric function
A Short Note on Unsigned Stirling Numbers Dennis Walsh
Walsh, Dennis P.
A Short Note on Unsigned Stirling Numbers Dennis Walsh Middle Tennessee State University The unsigned Stirling numbers | , the absolute values of Stirling numbers of the=Ã8Ã? 5Ã?l first kind, are well Stirling number Thel=Ã8Ã? 5Ã?lÃ? following theorem formalizes this result. Theorem. For let denote an unsigned
On Stirling numbers and Euler sums Victor Adamchik
Adamchik, Victor
On Stirling numbers and Euler sums Victor Adamchik Wolfram Research Inc., 100 Trade Center Dr of Stirling numbers of the rst kind for non-integer values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hy- pergeometric function
Report Number R99/0497 Report Title
Marsh, Helene
Report Number R99/0497 Report Title IMPROVING THE ACCURACY OF AERIAL SURVEYS FOR DUGONGS. Report Date December 2004 #12;AFMA Report Number R99/0497 2 IMPROVING THE ACCURACY OF AERIAL SURVEYS, Raleigh, NC 27695-8203, USA AFMA Project Number R 99/0497 December 2004 #12;AFMA Report Number R99/0497 3
AERODYNAMICS AND DESIGN FOR ULTRA-LOW REYNOLDS NUMBER FLIGHT
Stanford University
AERODYNAMICS AND DESIGN FOR ULTRA-LOW REYNOLDS NUMBER FLIGHT A DISSERTATION SUBMITTED at Reynolds numbers below 10,000, here termed ultra-low Reynolds numbers. The effects of airfoil geometry at ultra-low Reynolds numbers. To further explore this design space, the flow solver has been coupled
Michiel B. De Kock; Hans C. Eggers; Tamás Csörg?
2012-06-08T23:59:59.000Z
The usual chi-squared method of fit quality assessment is a special case of the more general method of Bayesian model comparison which involves integrals of the likelihood and prior over all possible values of all parameters. We introduce new parametrisations based on systematic expansions around the stretched exponential or Fourier-transformed L\\'evy source distribution, and utilise the increased discriminating power of the Bayesian approach to evaluate the relative probability of these models to be true representations of a recently measured Bose-Einstein correlation data in e+e- annihilations at LEP.
Rutger van Haasteren; Michele Vallisneri
2014-07-24T23:59:59.000Z
Many data-analysis problems involve large dense matrices that describe the covariance of stationary noise processes; the computational cost of inverting these matrices, or equivalently of solving linear systems that contain them, is often a practical limit for the analysis. We describe two general, practical, and accurate methods to approximate stationary covariance matrices as low-rank matrix products featuring carefully chosen spectral components. These methods can be used to greatly accelerate data-analysis methods in many contexts, such as the Bayesian and generalized-least-squares analysis of pulsar-timing residuals.
Barbosa, Domingos; Ruiz, Valeriano; Silva, Manuel; Verdes-Montenegro, Lourdes; Santander-Vela, Juande; Maia, Dalmiro; Antón, Sonia; van Ardenne, Arnold; Vetter, Matthias; Kramer, Michael; Keller, Reinhard; Pereira, Nuno; Silva, Vitor
2012-01-01T23:59:59.000Z
The Square Kilometer Array (SKA) will be the largest Global science project of the next two decades. It will encompass a sensor network dedicated to radioastronomy, covering two continents. It will be constructed in remote areas of South Africa and Australia, spreading over 3000Km, in high solar irradiance latitudes. Solar Power supply is therefore an option to power supply the SKA and contribute to a zero carbon footprint next generation telescope. Here we outline the major characteristics of the SKA and some innovation approaches on thermal solar energy Integration with SKA prototypes.
Taylor, Frank E.
This Letter presents the first search for supersymmetry in final states containing one isolated electron or muon, jets, and missing transverse momentum from ?s=7??[square root of s=7] TeV proton-proton collisions at the ...
Small numbers in supersymmetric theories of nature
Graesser, Michael L.
1999-05-01T23:59:59.000Z
The Standard Model of particle interactions is a successful theory for describing the interactions of quarks, leptons and gauge bosons at microscopic distance scales. Despite these successes, the theory contains many unsatisfactory features. The origin of particle masses is a central mystery that has eluded experimental elucidation. In the Standard Model the known particles obtain their mass from the condensate of the so-called Higgs particle. Quantum corrections to the Higgs mass require an unnatural fine tuning in the Higgs mass of one part in 10{sup {minus}32} to obtain the correct mass scale of electroweak physics. In addition, the origin of the vast hierarchy between the mass scales of the electroweak and quantum gravity physics is not explained in the current theory. Supersymmetric extensions to the Standard Model are not plagued by this fine tuning issue and may therefore be relevant in Nature. In the minimal supersymmetric Standard Model there is also a natural explanation for electroweak symmetry breaking. Supersymmetric Grand Unified Theories also correctly predict a parameter of the Standard Model. This provides non-trivial indirect evidence for these theories. The most general supersymmetric extension to the Standard Model however, is excluded by many physical processes, such as rare flavor changing processes, and the non-observation of the instability of the proton. These processes provide important information about the possible structure such a theory. In particular, certain parameters in this theory must be rather small. A physics explanation for why this is the case would be desirable. It is striking that the gauge couplings of the Standard Model unify if there is supersymmetry close to the weak scale. This suggests that at high energies Nature is described by a supersymmetric Grand Unified Theory. But the mass scale of unification must be introduced into the theory since it does not coincide with the probable mass scale of strong quantum gravity. The subject of this dissertation is both the phenomenology and model-building opportunities that may lie behind the small numbers that appear in supersymmetric extensions of the Standard Model.
ORISE: Report shows number of health physics degrees for 2010
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
report shows number of health physics degrees increased for graduates, decreased for undergraduates in 2010 Decreased number of B.S. degrees remains higher than levels in the early...
The Effect of Temperature, Cations, and Number of Acyl Chains...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
The Effect of Temperature, Cations, and Number of Acyl Chains on the Lamellar to Non-Lamellar Transition in Lipid-A Membranes: A The Effect of Temperature, Cations, and Number of...
Numbers and Arithmetic: Neither Hardwired Nor Out There
Nuñez, Rafael
Numbers and Arithmetic: Neither Hardwired Nor Out There Rafael N ´u ~nez Department of Cognitive that number concepts and arithmetic are neither hard- wired in the brain, nor do they exist out
Classical Radiation of a Finite Number of Photons
L. Stodolsky
2002-05-30T23:59:59.000Z
Under certain conditions the number of photons radiated classically by a charged particle following a prescribed trajectory can be finite. An interesting formula for this number is presented and discussed.
Stern-Gerlach Experiments and Complex Numbers in Quantum Physics
S. Sivakumar
2012-07-09T23:59:59.000Z
It is often stated that complex numbers are essential in quantum theory. In this article, the need for complex numbers in quantum theory is motivated using the results of tandem Stern-Gerlach experiments
Automotive Repair by Number Theory Bart Snapp and Chris Snapp
Snapp, Bart
Automotive Repair by Number Theory Bart Snapp and Chris Snapp While repairing the ignition switch on a 1981 Fiat Spider, we discovered the following connection between number theory and automotive repair
Stirling numbers of graphs, and the normal ordering
Mayfield, John
Stirling numbers of graphs, and the normal ordering problem Galvin earned his PhD in mathematics correlations in discrete random structures. The Stirling number of the second kind ${n \\brace k}$ counts
Certification of Taxpayer Identification Number for Individuals Please check one
Zallen, Richard
Substitute Form W-9 Certification of Taxpayer Identification Number for Individuals Please check: ________________________ Middle: _____________________ Last: _______________________________ 2. U.S. taxpayer identification statements are true, correct, and complete and that: 1. The number shown on this form is my correct taxpayer
SWIMMING, PUMPING AND GLIDING AT LOW REYNOLDS NUMBER
Avron, Joseph
SWIMMING, PUMPING AND GLIDING AT LOW REYNOLDS NUMBER Research Thesis Submitted in partial Swimming, Pumping and Gliding at low Reynolds number 21 3.1 Introduction.3 Triality of swimmer pumps and gliders . . . . . . . . . . . . . . . . . . . . 23 3.4 Linear swimmers
Crunching Solar Numbers: The Big Apple Uses Big Data | Department...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Crunching Solar Numbers: The Big Apple Uses Big Data Crunching Solar Numbers: The Big Apple Uses Big Data The City University of New York (CUNY) and its partners developed an...
Bulletin of Tibetology: Volume 11 Number 3 : Full issue
Namgyal Institute of Tibetology
by inscribed labels in Brahmi. The gateway posts are carved with figures of Yakshas, Yakshis and other semi-divine beings while the halustrade reliefs depict Jataka stories and scenes fmm the life of the Buddha in oblong, square, round and semi-round p... and culmination of the {earlier tren<}, (,f the Indian art. Art under the Guptat- attained cl ma turity and p( ,ise and an unsurpassed naturalness and felicil), of expression. Its pkS1 icity was derived from Mathura and its elcg
Experiment Number 19 The Transmission of -Radiation Through Matter
is the Avogadro's number is the density so that the probability of a certain electron being scattered is very
MULTI-DEGREE BOUNDS ON THE BETTI NUMBERS OF REAL ...
2015-07-28T23:59:59.000Z
Jul 28, 2015 ... Multidegree bounds, Betti numbers, Smith inequalities, semi-algebraic sets, polynomial partitioning, incidence problems. Basu was partially ...
MU student numberVISITING STUDENT APPLICATION UNIVERSITY OF MISSOURI
Taylor, Jerry
(area code) Telephone number (area code) Cellphone number (area code) Fax number (if available) Student officials, and the completed application is to be sent to the Director of Admissions, University of Missouri, 230 Jesse Hall, Columbia, MO 65211-1300. Because this certification is in lieu of an official
TRANSCENDENCE OF THE GAUSSIAN LIOUVILLE NUMBER AND RELATIVES
Borwein, Peter
TRANSCENDENCE OF THE GAUSSIAN LIOUVILLE NUMBER AND RELATIVES PETER BORWEIN AND MICHAEL COONS to that of Dekking's proof of the transcendence of the ThueÂMorse number [7] as well as a theorem of Mahler's [16 is that l is irrational. Theorem 1. If l is the Liouville number, then l / Q. Proof. See proof
Quantum Response at Finite Fields and Breakdown of Chern Numbers
@physics.technion.ac.il #12; Quantum Response at Finite Fields and Breakdown of Chern Numbers 2 On closer inspection oneQuantum Response at Finite Fields and Breakdown of Chern Numbers J E Avron and Z Kons y Department singularity at zero field. We also study the breakdown of Chern numbers associated with the response
Number of Jacobi quartic curves over finite Rongquan Feng1
International Association for Cryptologic Research (IACR)
Number of Jacobi quartic curves over finite fields Rongquan Feng1 , Hongfeng Wu2 1 LMAM, School@gmail.com Abstract In this paper the number of Fq-isomorphism classes of Jacobi quar- tic curves, i.e., the number of Jacobi quartic curves with distinct j- invariants, over finite field Fq is enumerated. Keywords: Elliptic
COMBINATORIAL INTERPRETATIONS OF THE JACOBI-STIRLING NUMBERS
Paris-Sud XI, UniversitÃ© de
COMBINATORIAL INTERPRETATIONS OF THE JACOBI-STIRLING NUMBERS YOANN GELINEAU AND JIANG ZENG Abstract. The Jacobi-Stirling numbers of the first and second kinds were in- troduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers. Andrews and Littlejohn have recently given a com
On some arithmetic properties of polynomial expressions involving Stirling numbers
Klazar, Martin
On some arithmetic properties of polynomial expressions involving Stirling numbers of the second by the grant SEP-CONACYT 37259-E. 1 #12;Abstract Let S(n, k) be the classical Stirling numbers of the second. We give similar but more particular results on the more general Stirling-like numbers T(n, k). 2 #12
Stirling numbers for complex arguments Bruce Richmond \\Lambda
Merlini, Donatella
Stirling numbers for complex arguments Bruce Richmond \\Lambda Department of Combinatorics.Merlini@dsi2.ing.unifi.it Abstract We define the Stirling numbers for complex values and obtain extensions of the Stirling numbers of the first and second kind ( h n k i and n n k o in a standard notation) to complex
Boolean Theory laws proof Number Theory Character Theory
Hehner, Eric C.R.
Review Boolean Theory laws proof Number Theory Character Theory Bunches Sets Strings Lists for loop 1/109 #12;Review Boolean Theory laws proof Number Theory Character Theory Bunches Sets Strings with exit for loop 2/109 #12;Review Boolean Theory laws proof Number Theory Character Theory Bunches Sets
Radio Number for Trees Daphne Der-Fen Liu
Liu, Daphne Der-Fen
Radio Number for Trees Daphne Der-Fen Liu Department of Mathematics California State University be a connected graph with diameter diam(G). The radio number for G, denoted by rn(G), is the smallest integer k bound for the radio number of trees, and characterize the trees achiev- ing this bound. Moreover, we
Farritor, Shane
: PAR-13-082. CFDA Number(s): 93.859. Agency/Department: National Institutes of Health (NIH), National skills, communication skills, time-management, group learning opportunities, independent library or bench career choices with appropriate role models. The proposed research education prog
U.S. Natural Gas Number of Residential Consumers (Number of Elements)
Gasoline and Diesel Fuel Update (EIA)
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production (Million Barrels)(MillionofFoot)Lease FuelYearElements) (Number
Nebraska Natural Gas Number of Gas and Gas Condensate Wells (Number of
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120 7,226,215throughCommercial Consumers (Number of
New Jersey Natural Gas Number of Residential Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120Price (Dollars perResidential Consumers (Number of
New Mexico Natural Gas Number of Industrial Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120Price (Dollars(BillionDecadeIndustrial Consumers (Number of
New Mexico Natural Gas Number of Residential Consumers (Number of Elements)
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home PageSummary" ,"Click worksheet,167,371 6,826,192 6,994,120Price (Dollars(BillionDecadeIndustrial Consumers (Number
Table B14. Number of Establishments in Building, Number of Buildings, 1999
U.S. Energy Information Administration (EIA) Indexed Site
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 Home Page on GoogleTotal" (Percent) Type: Sulfur Content API Gravity Period: Monthly Annual Download Series History Download Series History Definitions,6 End Uses ofNonfuelTotal9.4. Number of
Singer, Leo P
2015-01-01T23:59:59.000Z
The Advanced LIGO and Virgo experiments are poised to detect gravitational waves (GWs) directly for the first time this decade. The ultimate prize will be joint observation of a compact binary merger in both gravitational and electromagnetic channels. However, GW sky locations that are uncertain by hundreds of square degrees will pose a challenge. I describe a real-time detection pipeline and a rapid Bayesian parameter estimation code that will make it possible to search promptly for optical counterparts in Advanced LIGO. Having analyzed a comprehensive population of simulated GW sources, we describe the sky localization accuracy that the GW detector network will achieve as each detector comes online and progresses toward design sensitivity. Next, in preparation for the optical search with the intermediate Palomar Transient Factory (iPTF), we have developed a unique capability to detect optical afterglows of gamma-ray bursts (GRBs) detected by the Fermi Gamma-ray Burst Monitor (GBM). Its comparable error regi...
Masao Iwamatsu; Yutaka Okabe
2010-06-11T23:59:59.000Z
The square-gradient density-functional model with triple-parabolic free energy, that was used previously to study the homogeneous bubble nucleation [J. Chem. Phys. 129, 104508 (2008)], is used to study the stability of the critical bubble nucleated within the bulk under-saturated stretched fluid. The stability of the bubble is studied by solving the Schr\\"odinger equation for the fluctuation. The negative eigenvalue corresponds to the unstable growing mode of the fluctuation. Our results show that there is only one negative eigenvalue whose eigenfunction represents the fluctuation that corresponds to the isotropically growing or shrinking nucleus. In particular, this negative eigenvalue survives up to the spinodal point. Therefore the critical bubble is not fractal or ramified near the spinodal.
Lorenzo Iorio
2007-09-25T23:59:59.000Z
In this paper we use the latest corrections to the Newton-Einstein secular perihelion rates of some planets of the Solar System, phenomenologically estimated with the EPM2004 ephemerides by the Russian astronomer E.V. Pitjeva, to put severe constraints on the range parameter lambda characterizing the Yukawa-like modifications of the Newtonian inverse-square law of gravitation. It turns out that the range cannot exceed about one tenth of an Astronomical Unit. We assumed neither equivalence principle violating effects nor spatial variations of $\\alpha$ and $\\lambda$. This finding may have important consequences on all the modified theories of gravity involving Yukawa-type terms with range parameters much larger than the Solar System size. However, caution is advised since we, currently have at our disposal only the periehlion extra-rates estimated by Pitjeva: if and when other groups will estimate their own corrections to the secular motion of perihelia, more robust and firm tests may be conducted.
Stirling number Identities and High energy String Scatterings
Jen-Chi Lee; Yi Yang; Sheng-Lan Ko
2009-09-22T23:59:59.000Z
We use Stirling number identities developed recently in number theory to show that ratios among high energy string scattering amplitudes in the fixed angle regime can be extracted from the Kummer function of the second kind. This result not only brings an interesting bridge between string theory and combinatoric number theory but also sheds light on the understanding of algebraic structure of high energy stringy symmetry.
Classification of nonlocal two-qubit gates using Schmidt number
S Balakrishnan; Leona J Felicia; R Sankaranarayanan
2010-03-31T23:59:59.000Z
It is known from Schmidt decomposition that Schmidt number of nonlocal two-qubit quantum gates is 2 or 4. We identify conditions on geometrical points of a gate to have Schmidt number 2. A simple analysis reveals that Schmidt number 2 corresponds to controlled unitary gates with CNOT being the only perfect entangler. Further, it is shown that Schmidt strength and entangling power are maximum only for CNOT in the controlled unitary family.
Classification of nonlocal two-qubit gates using Schmidt number
Balakrishnan, S; Sankaranarayanan, R
2009-01-01T23:59:59.000Z
It is known from Schmidt decomposition that Schmidt number of nonlocal two-qubit quantum gates is 2 or 4. We identify conditions on geometrical points of a gate to have Schmidt number 2. A simple analysis reveals that Schmidt number 2 corresponds to controlled unitary gates with CNOT being the only perfect entangler. Further, it is shown that Schmidt strength and entangling power are maximum only for CNOT in the controlled unitary family.
ICTP in Numbers 2009 Sinceitsinception,ICTPhasreceivedmorethan116,000
India, China, Brazil, Argentina and Egypt. Least developed countries (LDCs) with the highest number Energy, Cosmology and Astroparticle Physics (HECAP); Condensed Matter and Statistical Physics (CMSP
Navigating the Numbers: Greenhouse Gas Data and International...
context faced by countries, including factors such as economic output, population size, trade, investment, and sectoral structure." References "Navigating the Numbers:...
Chicago Office NEPA Tracking Number U. S. DEPARTMENT OF ENERGY
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
CH F 560-ACQ (1105) Previous editions are obsolete. Chicago Office NEPA Tracking Number U. S. DEPARTMENT OF ENERGY OFFICE OF SCIENCE -- CHICAGO OFFICE NATIONAL ENVIRONMENTAL...
bounding the number of stable homotopy types of a parametrized ...
He obtained a full topological classification of such varieties making ... Wall obtains as a consequence of his classification theorem, that the number of different ...
Universal Characteristics of Fractal Fluctuations in Prime Number Distribution
A. M. Selvam
2008-11-12T23:59:59.000Z
The frequency of occurrence of prime numbers at unit number spacing intervals exhibits selfsimilar fractal fluctuations concomitant with inverse power law form for power spectrum generic to dynamical systems in nature such as fluid flows, stock market fluctuations, population dynamics, etc. The physics of long-range correlations exhibited by fractals is not yet identified. A recently developed general systems theory visualises the eddy continuum underlying fractals to result from the growth of large eddies as the integrated mean of enclosed small scale eddies, thereby generating a hierarchy of eddy circulations, or an inter-connected network with associated long-range correlations. The model predictions are as follows: (i) The probability distribution and power spectrum of fractals follow the same inverse power law which is a function of the golden mean. The predicted inverse power law distribution is very close to the statistical normal distribution for fluctuations within two standard deviations from the mean of the distribution. (ii) Fractals signify quantumlike chaos since variance spectrum represents probability density distribution, a characteristic of quantum systems such as electron or photon. (ii) Fractal fluctuations of frequency distribution of prime numbers signify spontaneous organisation of underlying continuum number field into the ordered pattern of the quasiperiodic Penrose tiling pattern. The model predictions are in agreement with the probability distributions and power spectra for different sets of frequency of occurrence of prime numbers at unit number interval for successive 1000 numbers. Prime numbers in the first 10 million numbers were used for the study.
Magic of Numbers in Networks of Wireless Image Sensors
Rahimi, Mohammed; Ahmadian, Shaun; Zats, David; Laufer, Rafael; Estrin, D
2006-01-01T23:59:59.000Z
is the emphasis on low-power battery-operated devices [3].Oncases, a large number of low- power battery-operated sensors
Convexity in partial cubes: the hull number Marie Albenque1
Felsner, Stefan
that the combinatorial optimization problem of de- termining the hull number of a partial cube is NP-complete. This makesConvexity in partial cubes: the hull number Marie Albenque1 and Kolja Knauer2 1 LIX UMR 7161 partial cubes the minimal graph class for which NP-completeness of this problem is known and improves some
SYMPOSIUM ARTICLE An Inordinate Fondness? The Number, Distributions,
the number of diatom species on earth: the number was 200,000. This estimate (Mann and Droop 1996, p. 28 by Mann and Droop. So, what is the truth about diatom diver- sity? Are they the beetles of the protist world, or a play- ground for voyeurs and stamp collectors, or a bit of both? Mann and Droop made
COMPLETENESS NUMBER OF FAMILIES OF SUBSETS OF CONVERGENCE SPACES
Dolecki, Szymon
COMPLETENESS NUMBER OF FAMILIES OF SUBSETS OF CONVERGENCE SPACES SZYMON DOLECKI In honor, triquotient maps and extensions of the Choquet active boundary theorem. The completeness number of a family in a convergence space is the least cardinality of collections of covers for which the family becomes complete. 0
Jacobi forms over totally real number elds Howard Skogman
Skogman, Howard
Jacobi forms over totally real number #12;elds Howard Skogman 0 2000 Mathematics Subject Classi#12;cation: 11F50 1 #12; Abstract We de#12;ne Jacobi forms over a totally real algebraic number #12;eld K upper half space respectively. Then symplectic modular forms are created and Jacobi forms arise
SHIFTED JACOBI POLYNOMIALS AND DELANNOY NUMBERS GABOR HETYEI
Jiang, Jiancheng
SHIFTED JACOBI POLYNOMIALS AND DELANNOY NUMBERS G´ABOR HETYEI `A la m´emoire de Pierre Leroux Abstract. We express a weigthed generalization of the Delannoy numbers in terms of shifted Jacobi Jacobi polynomials. Another specializa- tion provides a weighted lattice path enumeration model
Jacobi Forms over Imaginary Quadratic Number Fields Howard Skogman
Skogman, Howard
Jacobi Forms over Imaginary Quadratic Number Fields Howard Skogman University of California, San Diego La Jolla, CA 1 #12; Abstract We de#12;ne Jacobi Forms over an imaginary quadratic number #12;eld K half space respectively. We then create symplectic modular forms and create Jacobi forms by taking
ON STIRLING NUMBERS FOR COMPLEX ARGUMENTS AND HANKEL CONTOURS
Prodinger, Helmut
ON STIRLING NUMBERS FOR COMPLEX ARGUMENTS AND HANKEL CONTOURS PHILIPPE FLAJOLET AND HELMUT of Stirling numbers for unrestricted complex values of their arguments. Many classical identities survive such an extension. 1. Introduction Richmond and Merlini have introduced in [5] an extension of Stirling's subset
True Random Number Generators Secure in a Changing Environment
Shaltiel, Ronen
, which is applied to the highentropy source in order to obtain an output string that is shorterTrue Random Number Generators Secure in a Changing Environment Boaz Barak, Ronen Shaltiel, and Eran, ISRAEL Email: {boaz,ronens,tromer}@wisdom.weizmann.ac.il Abstract. A true random number generator (TRNG
A Geometric Analysis of Renegar's Condition Number, and its ...
2007-04-11T23:59:59.000Z
Apr 11, 2007 ... Herein we focus on the data-perturbation condition number C(A) of Renegar, see [8]. ... purely geometric quantities, which enable us to see better how C(A) ... It is well understood that Renegar's condition number - combined ...
Nonlinear instability of elementary stratified flows at large Richardson number
Majda, Andrew J.
Nonlinear instability of elementary stratified flows at large Richardson number Andrew J. Majdaa 1999 Elementary stably stratified flows with linear instability at all large Richardson numbers have been introduced recently by the authors J. Fluid Mech. 376, 319350 1998 . These elementary stratified
Effect of Number of Fractionating Trays on Reactive Distillation Performance
Al-Arfaj, Muhammad A.
Effect of Number of Fractionating Trays on Reactive Distillation Performance Muhammad A. Al and rectifying sec- tions of a reacti®e distillation column can degrade performance. This effect, if true®e distillation columns cannot use conser®ati®e estimates of tray numbers, that is, we cannot simply add excess
142 Los Alamos Science Number 29 2005 Direct Numerical
Kurien, Susan
142 Los Alamos Science Number 29 2005 Direct Numerical Simulations of Turbulence Data Generation visualization tools. Los Alamos scientists have been able to simulate flows of Reynolds numbers up to 105 subdomain of the 20483 turbulence simulation performed on the ASC Q machine at Los Alamos. The ASC Q machine
New Paradigm for Baryon and Lepton Number Violation
Pavel Fileviez Perez
2015-08-17T23:59:59.000Z
The possible discovery of proton decay, neutron-antineutron oscillation, neutrinoless beta decay in low energy experiments, and exotic signals related to the violation of the baryon and lepton numbers at collider experiments will change our understanding of the conservation of fundamental symmetries in nature. In this review we discuss the rare processes due to the existence of baryon and lepton number violating interactions. The simplest grand unified theories and the neutrino mass generation mechanisms are discussed. The theories where the baryon and lepton numbers are defined as local gauge symmetries spontaneously broken at the low scale are discussed in detail. The simplest supersymmetric gauge theory which predicts the existence of lepton number violating processes at the low scale is investigated. The main goal of this review is to discuss the main implications of baryon and lepton number violation in physics beyond the Standard Model.
A Proposed Exact Integer Value for Avogadro's Number
Ronald F. Fox; Theodore P. Hill
2007-04-28T23:59:59.000Z
An exact value for Avodagro's number, namely NA* = (84446888)^3, is proposed. The number 84446888 represents the side length of a cube of atoms whose volume is closest, among all integral side lengths, to the current official NIST value of Avogadro's number. This value NA* is nearly dead center of the estimated range for the value of Avogadro's number, and is within the official standard level of uncertainty. Adoption of this value as the fixed value for NA would eliminate the current time-dependent definition of Avogadro's number, which depends on the definition of kilogram via an unstable physical artifact. It would also eliminate the need for the kilogram artifact altogether, since then, by definition, a kilogram would be exactly 1000/12 the mass of NA* atoms of carbon-12.
Quark Number Susceptibility with Finite Quark Mass in Holographic QCD
Kyung-il Kim; Youngman Kim; Shingo Takeuchi; Takuya Tsukioka
2011-10-31T23:59:59.000Z
We study the effect of a finite quark mass on the quark number susceptibility in the framework of holographic QCD. We work in a bottom-up model with a deformed AdS black hole and D3/D7 model to calculate the quark number susceptibility at finite temperature with/without a finite quark chemical potential. As expected the finite quark mass suppresses the quark number susceptibility. We find that at high temperatures $T\\ge 600$ MeV the quark number susceptibility of light quarks and heavy quarks are almost equal in the bottom-up model. This indicates that the heavy quark like charm contribution to thermodynamics of a QCD-like system may start to become significant at temperatures $T\\sim 600$ MeV. In D3/D7 model, we focus on the competition between the quark chemical potential, which enhances the quark number susceptibility, and the quark mass that suppresses the susceptibility. We observe that depending on the relative values of the quark mass and the quark chemical potential, the quark number susceptibility shows a diverging or converging behavior. We also calculate the chiral susceptibility in D3/D7 model to support the observation made with the quark number susceptibility.
The Square Kilometer Array Interferometer
Robert Braun
1995-12-11T23:59:59.000Z
The scientific motivation is reviewed for a next generation radio observatory operating at frequencies between about 200 MHz and 2 GHz with about 2 orders of magnitude greater sensitivity than that which is currently available, together with sub-arcsecond angular resolution. Instrumental concepts for the telescope are discussed, highlighting the role of mass produced receiver elements and digital electronics in increasing cost-effectiveness while actively reducing the instrument's sensitivity to radio frequency interference.
Radcliffe Square BrasenoseLane
Oxford, University of
/1 Fellows' Guest Rooms (Red, Gold, Green, & Blue) Fire Muster Points Gerties Hulme Common Room (HCR
Reinhard, H. J. (Henry Jonathan)
1929-01-01T23:59:59.000Z
, President STATION STAFF! -- ADMINISTRATION: A. B CONNER M s Director R. E: KARPER: M: s:: Vice-Director CLARICE MIXSON Crcrefary M. P. I~OLLEMAN' 5; Chief Clerk J. K. FRANCKLO; ~;sisfanf Chief Clerk CHESTER HIGGS kzecutiue Assistant C. B. NERLETTE...: Technical Assistant CHEMISTRY: G. S. FRAPS- Ph D Chief. State Chemist S E ASBU& M S' ~ssiitant Chemist E. 6. CARLYL'E B B Chemist WALDO H. WA~KER 'hssisfant Chemist VELMA GRAHAM ~SfSistant Chemist T L OGIER B 'S Assistant Chemist ATHAN J ST'ERGES* B...
Reinhard, H. J. (Henry Jonathan)
1929-01-01T23:59:59.000Z
, President STATION STAFF! -- ADMINISTRATION: A. B CONNER M s Director R. E: KARPER: M: s:: Vice-Director CLARICE MIXSON Crcrefary M. P. I~OLLEMAN' 5; Chief Clerk J. K. FRANCKLO; ~;sisfanf Chief Clerk CHESTER HIGGS kzecutiue Assistant C. B. NERLETTE... S. Assistant Chemist JEANNE M. FUEG~ ~sS)iSfanf Chemist RAY TREICHLER M' S Assistant Chemist J. K. FARMER M A kssisfanf Chemist RALPH i. SCH~ARTZ, 3. S,. Assistant Chemist [ORTICULTURE: HAMILTON P. TRAUB, Ph. D., Chid Berry Breeder - RANGE...
Lepton Number Violation and the Baryon Asymmetry of the Universe
Harz, Julia; Päs, Heinrich
2015-01-01T23:59:59.000Z
Neutrinoless double beta decay, lepton number violating collider processes and the Baryon Asymmetry of the Universe (BAU) are intimately related. In particular lepton number violating processes at low energies in combination with sphaleron transitions will typically erase any pre-existing baryon asymmetry of the Universe. In this contribution we briefly review the tight connection between neutrinoless double beta decay, lepton number violating processes at the LHC and constraints from successful baryogenesis. We argue that far-reaching conclusions can be drawn unless the baryon asymmetry is stabilized via some newly introduced mechanism.
Spin-statistics-quantum number connection and supersymmetry
Richard M. Weiner
2013-02-05T23:59:59.000Z
The analogy between the Skyrme and Higgs field leads to the conjecture that all fermions are skyrmions and thus always carry conserved quantum numbers, which are identified with baryon or lepton quantum numbers. This connection between spin and quantum numbers, which parallels the connection between spin and statistics due to the Pauli principle, may explain why supersymmetry has not been observed. Creation of s-particles at higher than present energies due to a breakdown of the Skyrme mechanism might imply the violation of the exclusion principle.
Tseng, Y.J.; Huang, S.-C.; Chu, W.C. [Institute of Biomedical Engineering, University Systems of Taiwan-National Yang Ming University, Pei-Tou, Taipei, Taiwan (China); Department of Molecular and Medical Pharmacology, UCLA David Geffen School of Medicine, Los Angeles, California 90095 (United States); Institutes of Biomedical Engineering and Radiological Sciences, University Systems of Taiwan-National Yang Ming University, Pei-Tou, Taipei, Taiwan (China)
2005-04-01T23:59:59.000Z
A least-squares error minimization approach was adopted to assess ferric ion diffusion coefficient of Fricke-agarose gels. Ferric ion diffusion process was modeled as a Gaussian-shaped degradation kernel operating on an initial concentration distribution. Diffusion coefficient was iteratively determined by minimizing the error function defined as the difference between the theoretically calculated and the experimentally measured dose distributions. A rapid MR image-based differential gel dosimetry technique that time resolves the evolution of the ferric ion diffusion process minimizes smearing of the dose distribution. Our results showed that for a Fricke-agarose gel contained 1 mM ammonium ferrous sulfate, 1% agarose, 1 mM sodium chloride, and 50 mM sulfuric acid, its ferric ion diffusion coefficient is (1.59{+-}0.28)x10{sup -2} cm{sup 2} h{sup -1} at room temperature. This value falls within the 1.00-2.00x10{sup -2} cm{sup 2} h{sup -1} range previously reported under varying gelling ingredients and concentrations. This method allows a quick, nondestructive evaluation of the ferric ion diffusion coefficient that can be used in conjunction with the in situ gel dosimetry experiment to provide a practical diffusion characterization of the dosimeter gel.
Giacometti, Achille, E-mail: achille.giacometti@unive.it [Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca’ Foscari Venezia, Calle Larga S. Marta DD2137, I-30123 Venezia (Italy)] [Dipartimento di Scienze Molecolari e Nanosistemi, Università Ca’ Foscari Venezia, Calle Larga S. Marta DD2137, I-30123 Venezia (Italy); Gögelein, Christoph, E-mail: christoph.goegelein@ds.mpg.de [Max-Planck-Institute for Dynamics and Self-Organization, Göttingen (Germany)] [Max-Planck-Institute for Dynamics and Self-Organization, Göttingen (Germany); Lado, Fred, E-mail: lado@ncsu.edu [Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202 (United States)] [Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202 (United States); Sciortino, Francesco [Dipartimento di Fisica and CNR-SOFT, Università di Roma La Sapienza, Piazzale A. Moro 2, 00185 Roma (Italy)] [Dipartimento di Fisica and CNR-SOFT, Università di Roma La Sapienza, Piazzale A. Moro 2, 00185 Roma (Italy); Ferrari, Silvano, E-mail: silvano.ferrari@tuwien.ac.at [Institut für Theoretische Physik and Center for Computational Materials Science, Technische Universität Wien, Wiedner Hauptstraße 8-10/136, A-1040 Wien (Austria)] [Institut für Theoretische Physik and Center for Computational Materials Science, Technische Universität Wien, Wiedner Hauptstraße 8-10/136, A-1040 Wien (Austria); Pastore, Giorgio, E-mail: pastore@ts.infn.it [Dipartimento di Fisica dell’ Università di Trieste and CNR-IOM, Strada Costiera 11, 34151 Trieste (Italy)] [Dipartimento di Fisica dell’ Università di Trieste and CNR-IOM, Strada Costiera 11, 34151 Trieste (Italy)
2014-03-07T23:59:59.000Z
Building upon past work on the phase diagram of Janus fluids [F. Sciortino, A. Giacometti, and G. Pastore, Phys. Rev. Lett. 103, 237801 (2009)], we perform a detailed study of integral equation theory of the Kern-Frenkel potential with coverage that is tuned from the isotropic square-well fluid to the Janus limit. An improved algorithm for the reference hypernetted-chain (RHNC) equation for this problem is implemented that significantly extends the range of applicability of RHNC. Results for both structure and thermodynamics are presented and compared with numerical simulations. Unlike previous attempts, this algorithm is shown to be stable down to the Janus limit, thus paving the way for analyzing the frustration mechanism characteristic of the gas-liquid transition in the Janus system. The results are also compared with Barker-Henderson thermodynamic perturbation theory on the same model. We then discuss the pros and cons of both approaches within a unified treatment. On balance, RHNC integral equation theory, even with an isotropic hard-sphere reference system, is found to be a good compromise between accuracy of the results, computational effort, and uniform quality to tackle self-assembly processes in patchy colloids of complex nature. Further improvement in RHNC however clearly requires an anisotropic reference bridge function.
Masao Iwamatsu
2009-04-04T23:59:59.000Z
The generic square-gradient density-functional model with triple-parabolic free energy is used to study the stability of a cavity introduced into the stretched liquid. The various properties of the critical cavity, which is the largest stable cavity within the liquid, are compared with those of the critical bubble of the homogeneous bubble nucleation. It is found that the size of the critical cavity is always smaller than that of the critical bubble, while the work of formation of the former is always higher than the latter in accordance with the conjectures made by Punnathanam and Corti [J. Chem. Phys. {\\bf 119}, 10224 (2003)] deduced from the Lennard-Jones fluids. Therefore their conjectures about the critical cavity size and the work of formation would be more general and valid even for other types of liquid such as metallic liquid or amorphous. However, the scaling relations they found for the critical cavity in the Lennard-Jones fluid are marginally satisfied only near the spinodal.
Trade Theory with Numbers: Quantifying the Consequences of Globalization
Costinot, Arnaud
We review a recent body of theoretical work that aims to put numbers on the consequences of globalization. A unifying theme of our survey is methodological. We rely on gravity models and demonstrate how they can be used ...
Computing the stability number of a graph via semidefinite and ...
2006-04-27T23:59:59.000Z
then the vertices of G can be numbered so that E(G8) ? E(G ). Thus G8 is the smallest graph G such that ?(1)(G) > ?(G) = 3. We can extend the above reasoning ...
Copositivity cuts for improving SDP bounds on the clique number ...
2008-11-13T23:59:59.000Z
?(1)(G8) = 3.04328 while cutting with K4-free graphs trivially delivers the exact clique number since G8 itself is K4-free. See Subsection 6.1 below for.
Examining A Hypersonic Turbulent Boundary Layer at Low Reynolds Number
Semper, Michael Thomas
2013-05-15T23:59:59.000Z
The purpose of the current study was to answer several questions related to hypersonic, low Reynolds number, turbulent boundary layers, of which available data related to turbulence quantities is scarce. To that end, a unique research facility...
Experimental Investigations of Elastic Tail Propulsion At Low Reynolds Number
Yu, Tony S.
2007-05-04T23:59:59.000Z
A simple way to generate propulsion at low Reynolds number is to periodically oscillate a passive flexible filament. Here we present a macroscopic experimental investigation of such a propulsive mechanism. A robotic swimmer ...
Regulation Indentifier Number Title/Subject/Purpose Rule Type
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
of a specific rule, please see the Federal Register at https:www.regulations.gov. Regulation Indentifier Number TitleSubjectPurpose Rule Type Status 1991-AB82 Acquisition...
Funding Models for AIN-Based Local Number Portability
Pittsburgh PA 15260 Douglas C. Sicker sicker@sis.pitt.edu or dsicker@fcc.gov Federal Communications Commission Washington DC September 8, 1998 Abstract Local Number Portability LNP is a de facto requirement
Bernoulli-like polynomials associated with Stirling Numbers
Carl M. Bender; Dorje C. Brody; Bernhard K. Meister
2005-09-05T23:59:59.000Z
The Stirling numbers of the first kind can be represented in terms of a new class of polynomials that are closely related to the Bernoulli polynomials. Recursion relations for these polynomials are given.
Prediction of Thermoacoustic Instabilities: Numerical Study of Mach number Effects.
Nicoud, Franck
Prediction of Thermoacoustic Instabilities: Numerical Study of Mach number Effects. K. Wieczorek equations. I. Introduction In the calculation of thermoacoustic instabilities, an assumption lead to significant changes in the evaluation of the thermo-acoustic modes present in the combustion
Qiu, Weigang
) ____ Transcript ____ Student Information Management System (SIMS) records ____ Bursar's Receipt ____ AcademicCONSENT TO RELEASE EDUCATIONAL RECORDS I, _________________________________, Social Security Number records protected under the Family Educational Rights and Privacy Act (FERPA) as follows: 1. Records
Helpful Numbers Cougar Place Front Desk (713) 743-
Azevedo, Ricardo
Helpful Numbers Cougar Place Front Desk (713) 743- 6994 Housing Office (713) 743-6000 RLC Office) 743-7529 Facebook.com/UHCougarPlace Twitter & IG : UHCougarPlace #12;What's Going On? Parents
Investment dynamics and the timeliness properties of accounting numbers
Papadakis, George, Ph. D. Massachusetts Institute of Technology
2007-01-01T23:59:59.000Z
This paper examines the properties of accounting numbers using a real investment framework that predicts asymmetric timeliness of both investment and its outcomes (i.e. sales, earnings and operating cash flows) even in the ...
241 Strength in numbers 243 Great leap outwards
Loss, Daniel
INSIGHT QUANTUM MECHANICS EDITORIAL 241 Strength in numbers THESIS 243 Great leap outwards Mark spintronics: Pumping spins through polymers Bert Koopmans INSIGHT: FOUNDATIONS OF QUANTUM MECHANICS EDITORIAL 253 Foundations of quantum mechanics COMMENTARY 254 Gravity in quantum mechanics Giovanni Amelino
A Taxonomy of Number Entry Error Sarah Wiseman
Cairns, Paul
an incorrect number is entered when programming a medical infusion pump or when entering financial information. If a medic programs an infusion pump incorrectly the patient may suffer ill consequences or even die
A SHARPER ESTIMATE ON THE BETTI NUMBERS OF SETS ...
2006-10-31T23:59:59.000Z
Oct 31, 2006 ... this paper also apply to the ordinary Betti numbers. (The use of Z2 coefficients is necessitated by our use of Smith inequalities in the proof of the ...
Alver, Burak Han
A search for Z bosons in the ?+?- [mu superscript + mu superscript -] decay channel has been performed in PbPb collisions at ?sNN=2.76??[square root of S subscript NN = 2.76] TeV with the CMS detector at the LHC, in a ...
Submillimeter tests of the gravitational inverse-square law C. D. Hoyle, D. J. Kapner, B. R. Heckel Motivated by a variety of theories that predict new effects, we tested the gravitational 1/r2 law these results as constraints on extensions of the standard model that predict Yukawa or power-law forces. We set
Bendavid, Joshua Lorne
2013-01-01T23:59:59.000Z
We have performed a search for the production of the standard model Higgs boson decaying to diphotons in pp collisions at the LHC at [square root of]s = 7-8 TeV with the CMS detector. Having analyzed data corresponding to ...
Nearest neighbor spacing distribution of prime numbers and quantum chaos
Marek Wolf
2014-01-07T23:59:59.000Z
We give heuristic arguments and computer results to support the hypothesis that, after appropriate rescaling, the statistics of spacings between adjacent prime numbers follows the Poisson distribution. The scaling transformation removes the oscillations in the NNSD of primes. These oscillations have the very profound period of length six. We also calculate the spectral rigidity $\\Delta_3$ for prime numbers by two methods. After suitable averaging one of these methods gives the Poisson dependence $\\Delta_3(L)=L/15$.
On Measurements, Numbers and p-Adic Mathematical Physics
Branko Dragovich
2012-05-23T23:59:59.000Z
In this short paper I consider relation between measurements, numbers and p-adic mathematical physics. p-Adic numbers are not result of measurements, but nevertheless they play significant role in description of some systems and phenomena. We illustrate their ability for applications referring to some sectors of p-adic mathematical physics and related topics, in particular, to string theory and the genetic code.
Nucleon semimagic numbers and low-energy neutron scattering
D. A. Zaikin; I. V. Surkova
2010-04-09T23:59:59.000Z
It is shown that experimental values of the cross sections of inelastic low-energy neutron scattering on even-even nuclei together with the description of these cross sections in the framework of the coupled channel optical model may be considered as a reliable method for finding nuclei with a semimagic number (or numbers) of nucleons. Some examples of the application of this method are considered.
A Conjecture about the Density of Prime Numbers
L. A. Amarante Ribeiro
2008-03-04T23:59:59.000Z
We present in this work a heuristic expression for the density of prime numbers. Our expression leads to results which possesses approximately the same precision of the Riemann's function in the domain that goes from 2 to 1010 at least. Instead of using a constant as was done by Legendre and others in the formula of Gauss, we try to adjust the data through a function. This function has the remarkable property: its points of discontinuity are the prime numbers.
Constructing numbers through moments in time: Kant's philosophy of mathematics
Wilson, Paul Anthony
2004-11-15T23:59:59.000Z
CONSTRUCTING NUMBERS THROUGH MOMENTS IN TIME: KANT?S PHILOSOPHY OF MATHEMATICS A Thesis by PAUL ANTHONY WILSON Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment... of the requirements for the degree of MASTER OF ARTS August 2003 Major Subject: Philosophy CONSTRUCTING NUMBERS THROUGH MOMENTS IN TIME: KANT?S PHILOSOPHY OF MATHEMATICS A Thesis by PAUL ANTHONY WILSON...
CRUISE REPORT Cruise Number: SU-9503 Leg-1
CRUISE REPORT Cruise Number: SU-9503 Leg-1 FOCI Number: FOCI NOAA Ship: SURVEYOR Area of Operations 166° 03.1' W Line XIV, Station 86 0927 CTD011 11 182 54° 48.4' N '". 165° 51.3' W Line XIV, Station 0803 CTD018 18 5579 51° 01.1' N 173° 32.7' W Line Station 2 1133 CTD019 19 4741 51° 13.9' N 173° 31
Escardó, Martín H
We develop a theory of higher-order exact real number computation based on Scott domain theory. Our main object of investigation is a higher-order functional programming language, Real PCF, which is an extension of PCF ...
An Explicit Runge-Kutta Iteration for Diffusion in the Low Mach Number Combustion Code
Grcar, Joseph F.
2007-01-01T23:59:59.000Z
usion in the Low Mach Number Combustion Code Joseph F. Grcarthe low Mach number combustion code. Contents 1 Introductionthe low Mach number combustion code, LMC. The multicomponent
Ling Wang; Zheng-Cheng Gu; Frank Verstraete; Xiao-Gang Wen
2015-07-14T23:59:59.000Z
The ground state phase diagram of spin-1/2 J1-J2 antiferromagnetic Heisenberg model on square lattice around the maximally frustrated regime (J2~0.5J1) has been debated for decades. Here we study this model using a recently proposed novel numerical method - the cluster update algorithm for tensor product states (TPSs). The ground state energies at finite sizes and in the thermodynamic limit (with finite size scaling) are in good agreement with exact diagonalization study. At the largest bond dimension available D = 9 and through finite size scaling of the magnetization order near the transition point, we accurately determine the critical point Jc=0.5321(2)J1 and the critical exponent beta = 0.499(3). In the range of 0.5321
Leo P. Singer
2015-01-12T23:59:59.000Z
The Advanced LIGO and Virgo experiments are poised to detect gravitational waves (GWs) directly for the first time this decade. The ultimate prize will be joint observation of a compact binary merger in both gravitational and electromagnetic channels. However, GW sky locations that are uncertain by hundreds of square degrees will pose a challenge. I describe a real-time detection pipeline and a rapid Bayesian parameter estimation code that will make it possible to search promptly for optical counterparts in Advanced LIGO. Having analyzed a comprehensive population of simulated GW sources, we describe the sky localization accuracy that the GW detector network will achieve as each detector comes online and progresses toward design sensitivity. Next, in preparation for the optical search with the intermediate Palomar Transient Factory (iPTF), we have developed a unique capability to detect optical afterglows of gamma-ray bursts (GRBs) detected by the Fermi Gamma-ray Burst Monitor (GBM). Its comparable error regions offer a close parallel to the Advanced LIGO problem, but Fermi's unique access to MeV-GeV photons and its near all-sky coverage may allow us to look at optical afterglows in a relatively unexplored part of the GRB parameter space. We present the discovery and broadband follow-up observations of eight GBM-iPTF afterglows. Two of the bursts are at low redshift, are sub-luminous with respect to "standard" cosmological bursts, and have spectroscopically confirmed broad-line type Ic supernovae. These two bursts are possibly consistent with mildly relativistic shocks breaking out from the progenitor envelopes rather than the standard mechanism of internal shocks within an ultra-relativistic jet. On a technical level, the GBM-iPTF effort is a prototype for locating and observing optical counterparts of GW events in Advanced LIGO with the Zwicky Transient Facility.
IMPACT OF CAPILLARY AND BOND NUMBERS ON RELATIVE PERMEABILITY
Kishore K. Mohanty
2002-09-30T23:59:59.000Z
Recovery and recovery rate of oil, gas and condensates depend crucially on their relative permeability. Relative permeability in turn depends on the pore structure, wettability and flooding conditions, which can be represented by a set of dimensionless groups including capillary and bond numbers. The effect of flooding conditions on drainage relative permeabilities is not well understood and is the overall goal of this project. This project has three specific objectives: to improve the centrifuge relative permeability method, to measure capillary and bond number effects experimentally, and to develop a pore network model for multiphase flows. A centrifuge has been built that can accommodate high pressure core holders and x-ray saturation monitoring. The centrifuge core holders can operate at a pore pressure of 6.9 MPa (1000 psi) and an overburden pressure of 17 MPa (2500 psi). The effect of capillary number on residual saturation and relative permeability in drainage flow has been measured. A pore network model has been developed to study the effect of capillary numbers and viscosity ratio on drainage relative permeability. Capillary and Reynolds number dependence of gas-condensate flow has been studied during well testing. A method has been developed to estimate relative permeability parameters from gas-condensate well test data.
Is there quantum chaos in the prime numbers?
Todd Timberlake; Jeffery Tucker
2008-01-07T23:59:59.000Z
A statistical analysis of the prime numbers indicates possible traces of quantum chaos. We have computed the nearest neighbor spacing distribution, number variance, skewness, and excess for sequences of the first N primes for various values of N. All four statistical measures clearly show a transition from random matrix statistics at small N toward Poisson statistics at large N. In addition, the number variance saturates at large lengths as is common for eigenvalue sequences. This data can be given a physical interpretation if the primes are thought of as eigenvalues of a quantum system whose classical dynamics is chaotic at low energy but regular at high energy. We discuss some difficulties with this interpretation in an attempt to clarify what kind of physical system might have the primes as its quantum eigenvalues.
Small Winding-Number Expansion: Vortex Solutions at Critical Coupling
Keisuke Ohashi
2015-09-01T23:59:59.000Z
We study an axially symmetric solution of a vortex in the Abelian-Higgs model at critical coupling in detail. Here we propose a new idea for a perturbative expansion of a solution, where the winding number of a vortex is naturally extended to be a real number and the solution is expanded with respect to it around its origin. We test this idea on three typical constants contained in the solution and confirm that this expansion works well with the help of the Pad\\'e approximation. For instance, we analytically reproduce the value of the scalar charge of the vortex with an error of $O(10^{-6})$. This expansion is also powerful even for large winding numbers.
Small Winding-Number Expansion: Vortex Solutions at Critical Coupling
Keisuke Ohashi
2015-07-22T23:59:59.000Z
We study an axially symmetric solution of a vortex in the Abelian-Higgs model at critical coupling in detail. Here we propose a new idea for a perturbative expansion of a solution, where the winding number of a vortex is naturally extended to be a real number and the solution is expanded with respect to it around its origin. We test this idea on three typical constants contained in the solution and confirm that this expansion works well with the help of the Pad\\'e approximation. For instance, we analytically reproduce the value of the scalar charge of the vortex with an error of $O(10^{-6})$. This expansion is also powerful even for large winding numbers.
U.S. Dry Developmental Wells Drilled (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318Cubic Feet) Year JanBarrels)Product: Total(Feet(Number ofDrilled (Number of3Year
U.S. Dry Exploratory Wells Drilled (Number of Elements)
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318Cubic Feet) Year JanBarrels)Product: Total(Feet(Number ofDrilled (Number
Survey of lepton number violation via effective operators
Gouvea, Andre de; Jenkins, James [Northwestern University, Department of Physics and Astronomy, 2145 Sheridan Road, Evanston, Illinois 60208 (United States)
2008-01-01T23:59:59.000Z
We survey 129 lepton number violating effective operators, consistent with the minimal standard model gauge group and particle content, of mass dimension up to and including 11. Upon requiring that each one radiatively generates the observed neutrino masses, we extract an associated characteristic cutoff energy scale which we use to calculate other observable manifestations of these operators for a number of current and future experimental probes, concentrating on lepton number violating phenomena. These include searches for neutrinoless double-beta decay and rare meson, lepton, and gauge boson decays. We also consider searches at hadron/lepton collider facilities in anticipation of the CERN LHC and the future ILC. We find that some operators are already disfavored by current data, while more are ripe to be probed by next-generation experiments. We also find that our current understanding of lepton mixing disfavors a subset of higher dimensional operators. While neutrinoless double-beta decay is the most promising signature of lepton number violation for the majority of operators, a handful is best probed by other means. We argue that a combination of constraints from various independent experimental sources will help to pinpoint the ''correct'' model of neutrino mass, or at least aid in narrowing down the set of possibilities.
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 9, Number 3, 2002
Bailey, Timothy L.
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 9, Number 3, 2002 © Mary Ann Liebert, Inc. Pp. 575 Sequence similarity searches are probably the single most widely used bioinformatics tool. The similarity ed for gaps of different lengths. The gapped, local-alignment score is computed by aligning a region
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 14, Number 3, 2007
Rosenberg, Noah
JOURNAL OF COMPUTATIONAL BIOLOGY Volume 14, Number 3, 2007 © Mary Ann Liebert, Inc. Pp. 360377 DOI is computed, and these probabilities are summed over all coalescent histories compatible with the species tree--"valid" coalescent histories--are Department of Human Genetics, Bioinformatics Program, and the Life Sciences
ROTATION NUMBERS IN THOMPSON-STEIN GROUPS AND APPLICATIONS
Liousse, Isabelle
ROTATION NUMBERS IN THOMPSON-STEIN GROUPS AND APPLICATIONS ISABELLE LIOUSSE Abstract. We study, the Thompson-Stein groups. We prove that for many Thompson-Stein groups the outer automorphism group has order 2. As another application, we construct Thompson-Stein groups which do not admit non trivial rep