Laplace Operators on Fractals and Related Functional Equations
Gregory Derfel; Peter Grabner; Fritz Vogl
2012-06-06T23:59:59.000Z
We give an overview over the application of functional equations, namely the classical Poincar\\'e and renewal equations, to the study of the spectrum of Laplace operators on self-similar fractals. We compare the techniques used to those used in the euclidean situation. Furthermore, we use the obtained information on the spectral zeta function to define the Casimir energy of fractals. We give numerical values for this energy for the Sierpi\\'nski gasket.
Multipole matrix elements of Green function of Laplace equation
Karol Makuch; Przemys?aw Górka
2015-01-02T23:59:59.000Z
Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different (possibly overlapping) sphere of the same radius. The matrix elements are defined by double convolution of two spherical harmonics with the Green function of Laplace equation. The method we use relies on the fact that in the Fourier space the double convolution has simple form. Therefore we calculate the multipole matrix from its Fourier transform. An important part of our considerations is simplification of the three dimensional Fourier transformation of general multipole matrix by its rotational symmetry to the one-dimensional Hankel transformation.
Why Professor Richard Feynman was upset solving the Laplace equation for spherical waves?
Anzor Khelashvili; Teimuraz Nadareishvili
2013-02-04T23:59:59.000Z
We take attention to the singular behavior of the Laplace operator in spherical coordinates, which was established in our earlier work. This singularity has many non-trivial consequences. In this article we consider only the simplest ones, which are connected to the solution of Laplace equation in Feynman classical books and Lectures. Feynman was upset looking in his derived solutions, which have a fictitious singular behavior at the origin. We show how these inconsistencies can be avoided.
Morales, Mayckol; Herrera, William J
2015-01-01T23:59:59.000Z
We find solutions of Laplace's equation with specific boundary conditions (in which such solutions take either the value zero or unity in each surface) using a generic curvilinear system of coordinates. Such purely geometrical solutions (that we shall call Basic Harmonic Functions BHF's) are utilized to obtain a more general class of solutions for Laplace's equation, in which the functions take arbitrary constant values on the boundaries. On the other hand, the BHF's are also used to obtain the capacitance of many electrostatic configurations of conductors. This method of finding solutions of Laplace's equation and capacitances with multiple symmetries is particularly simple, owing to the fact that the method of separation of variables becomes much simpler under the boundary conditions that lead to the BHF's. Examples of application in complex symmetries are given. Then, configurations of succesive embedding of conductors are also examined. In addition, expressions for electric fields between two conductors a...
Solution of the space-time reactor kinetics equations using the method of Laplace transforms
Rottler, Jerry Stephen
1982-01-01T23:59:59.000Z
for the degree of MASTER OF SCIENCE December 1982 Major Subject: Nuclear Engineering SOLUTION OF THE SPACE-TIME REACTOR KINETICS EQUATIONS USING THE METHOD OF LAPLACE TRANSFORMS . A Thesis by JERRY STEPHEN ROTTLER Approved as to style and content by...gated in detail. ACKNOHLEDGEMENT The author would like to express gratitude to several individuals who made this work possible. First, he would like to thank his committee chairman, Dr. Clarence E. Lee, for suggesting this project and for his...
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition
Antunovi?, Ton?i; Sheffield, Scott; Somersille, Stephanie
2011-01-01T23:59:59.000Z
We study a version of the stochastic "tug-of-war" game, played on graphs and smooth domains, with the empty set of terminal states. We prove that, when the running payoff function is shifted by an appropriate constant, the values of the game after n steps converge in the continuous case and the case of finite graphs with loops. Using this we prove the existence of solutions to the infinity Laplace equation with vanishing Neumann boundary condition.
Mark Chanachowicz; Claudia M. Chanu; Raymond G. McLenaghan
2007-11-13T23:59:59.000Z
An invariant characterization of the rotationally symmetric R-separable webs for the Laplace equation in Euclidean space is given in terms of invariants and covariants of a real binary quartic canonically associated to the characteristic conformal Killing tensor which defines the webs.
Oxley, Paul
Finite element solution of Laplace's equation for ion-atom chambers Jacob Golde, Janine Shertzer for ion-atom chambers. We first consider a simplified model chamber for which an analytical solution can is carried out in an ion-atom chamber. The atomic beam first passes through a region of the cham- ber where
Szilagyi, Jozsef
boundary conditions Jozsef Szilagyi Conservation and Survey Division, University of Nebraska analysis Citation: Szilagyi, J., Sensitivity analysis of aquifer parameter estimations based on the Laplace
The Laplace Transform 1 Laplace transform and inverse transform
Yengulalp, Lynne
The Laplace Transform Name: 1 Laplace transform and inverse transform Definition. Let f(t) be a function defined for t 0. Then the integral L {f(t)} = 0 e-st f(t)dt is said to be the Laplace transform of f provided the integral converges. Fill in the following Laplace transforms. L {tn } = L {eat } = L
The higher spin Laplace operator
Hendrik De Bie; David Eelbode; Matthias Roels
2015-01-24T23:59:59.000Z
This paper deals with a certain class of second-order conformally invariant operators acting on functions taking values in particular (finite-dimensional) irreducible representations of the orthogonal group. These operators can be seen as a generalisation of the Laplace operator to higher spin as well as a second order analogue of the Rarita-Schwinger operator. To construct these operators, we will use the framework of Clifford analysis, a multivariate function theory in which arbitrary irreducible representations for the orthogonal group can be realised in terms of polynomials satisfying a system of differential equations. As a consequence, the functions on which this particular class of operators act are functions taking values in the space of harmonics homogeneous of degree k. We prove the ellipticity of these operators and use this to investigate their kernel, focusing on both polynomial solutions and the fundamental solution.
FROM NORLUND MATRICES TO LAPLACE REPRESENTATIONS
Sinnamon, Gordon J.
(and not too large) on the line Re z = 0, the Laplace transform LF is just the (Poisson extension of the) Fourier transform of F. It is therefore appropriate to view the power series representation¨orlund matrices and corresponding convolution operators on the line. Analogous inequalities are proved for power
Technical Note Variational free energy and the Laplace approximation
Daunizeau, Jean
Technical Note Variational free energy and the Laplace approximation Karl Friston,a, Jérémie October 2006 This note derives the variational free energy under the Laplace approximation, with a focus. This is relevant when using the free energy as an approximation to the log-evidence in Bayesian model averaging
Technical Note Variational free energy and the Laplace approximation
Penny, Will
Technical Note Variational free energy and the Laplace approximation Karl Friston,a, Jérémie the variational free energy under the Laplace approximation, with a focus on accounting for additional model complexity induced by increasing the number of model parameters. This is relevant when using the free energy
A. V. Pavlov-Maxorin
2014-10-19T23:59:59.000Z
In article a new class of the odd ore even transforms of Laplace is presented. The class leads to some unforeseeable consequences in direction of the Fourier transforms.The potential of Newton as one of the form of the double Laplace transform is considered too.
Dirk Veestraeten
2015-05-21T23:59:59.000Z
The Laplace transforms of the transition probability density and distribution functions for the Ornstein-Uhlenbeck process contain the product of two parabolic cylinder functions, namely D_{v}(x)D_{v}(y) and D_{v}(x)D_{v-1}(y), respectively. The inverse transforms of these products have as yet not been documented. However, the transition density and distribution functions can be obtained by alternatively applying Doob's transform to the Kolmogorov equation and casting the problem in terms of Brownian motion. Linking the resulting transition density and distribution functions to their Laplace transforms then specifies the inverse transforms to the aforementioned products of parabolic cylinder functions. These two results, the recurrence relation of the parabolic cylinder function and the properties of the Laplace transform then enable the calculation of inverse transforms also for countless other combinations in the orders of the parabolic cylinder functions such as D_{v}(x)D_{v-2}(y), D_{v+1}(x)D_{v-1}(y) and D_{v}(x)D_{v-3}(y).
Exact Vacuum Solutions to the Einstein Equation
Ying-Qiu Gu
2007-06-17T23:59:59.000Z
In this paper, we present a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can be reduced to some 2-dimensional Laplace-like equations or rotation and divergence equations, which are much convenient for the resolution.
7. Biharmonic equation The biharmonic equation is the \\square of the Laplace equation",
Trefethen, Nick
.824 kHz Fig. 1: Chladni gures for a square plate The eigenvalues and eigenfunctions of the biharmonic of such a plate. The physicist and astronomer Ernst Chladni (1756{1827) carried out a famous series of ex in various modes. The resulting patterns are known as Chladni gures and some results from an experiment
Casey Blood
2013-10-04T23:59:59.000Z
It is usually assumed that a ket represents the state of an actually existing particle. But one can show there is no evidence for particles. The particle-like properties of mass, spin and charge, as well as particle-like trajectories, the photoelectric effect, and localized effects from spread-out wave functions can be explained using quantum mechanics alone. It is therefore proposed instead that kets represent particle-like solutions to a pre-representational linear partial differential equation which has Poincar\\'e and internal symmetries. This equation underlies the completely representational character, including mass, spin, charge, internal symmetries, and symmetric and antisymmetric statistics, of current quantum mechanics.
Laplace Transforms An integral transform is an operator
Ikenaga, Bruce
9281998 Laplace Transforms An integral transform is an operator F (s) = Z b a K(s; t)f(t) dt: The input to the transform is the function f(t); the output is the function F (s). (By convention, small letters denote the inputs to a transform, and the corresponding capital letters denote the corresponding
FROM NO"RLUND MATRICES TO LAPLACE REPRESENTATIONS
Sinnamon, Gordon J.
(and not * *too large) on the line Re z = 0, the Laplace transform LF is just the (Poisson exte* *nsion of the) Fourier transform of F . It is therefore appropriate to view the power * *series. Analogous inequalities are proved for power series representations * *of functions in weighted Hardy
Ng, Chung-Sang
-Poisson equations can now be solved by using Fourier transform in space and Laplace transform in time, given an initial value of f(0). 2. The Laplace transform of the electric potential ~(k, p) now satisfies equation using Fourier transform in the Vlasov approach. 3. The solution ~(k, p) is in the form of ~(k, p
Laguerre polynomials and the inverse Laplace transform using discrete data
Lien, Tran Ngoc; Dinh, Alain Pham Ngoc
2007-01-01T23:59:59.000Z
We consider the problem of finding a function defined on $(0,\\infty)$ from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the expansion of the function in a series of Laguerre polynomials to convert the problem in an analytic interpolation problem. Then, using the coefficients of Lagrange polynomials we shall construct a stable approximation solution.
Applications of Laplace transformations to evaluation of definite integrals
Yonkers, John Dale
1964-01-01T23:59:59.000Z
. Evaluate the integral n p sin t cos t dt. 0 t n In order to find the Laplace transform of sin t cos t, we can use n DeMoivre's theorem to express sin t cos t as a linear combination of sines and cosines. This theorem states that n (cos x + i sin x... I ? INTRODUCTION CHAPTER II ? INTEGRALS CONTAINING A PARAMETER- ? ? - - Z CHAPTER III INTEGRALS CONTAINING INVERSE TRANS F ORMS CHAPTER IV ? INTEGRALS OF THE FORM J ~Ft dt ? ? ? ? - -14 0 t CHAPTER V ? INTEGRALS OF THE FORM J t F(t) dt...
Building accurate initial models using gain functions for waveform inversion in the Laplace domain
Wansoo Ha; Changsoo Shin
2014-08-20T23:59:59.000Z
We suggest an initial model building technique using time gain functions in the Laplace domain. Applying the gain expressed as a power of time is equivalent to taking the partial derivative of the Laplace-domain wavefield with respect to a damping constant. We construct an objective function, which minimizes the logarithmic differences between the gained field data and the partial derivative of the modeled data with respect to the damping constant. We calculate the modeled wavefield, the partial derivative wavefield, and the gradient direction in the Laplace domain using the analytic Green's function starting from a constant velocity model. This is an efficient method to generate an accurate initial model for a following Laplace-domain inversion. Numerical examples using two marine field datasets confirm that a starting model updated once from a scratch using the gradient direction calculated with the proposed method can be successfully used for a subsequent Laplace-domain inversion.
The equation-transform model for Dirac–Morse problem including Coulomb tensor interaction
Ortakaya, Sami, E-mail: sami.ortakaya@yahoo.com
2013-11-15T23:59:59.000Z
The approximate solutions of Dirac equation with Morse potential in the presence of Coulomb-like tensor potential are obtained by using Laplace transform (LT) approach. The energy eigenvalue equation of the Dirac particles is found and some numerical results are obtained. By using convolution integral, the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. -- Highlights: •The Dirac equation with tensor interaction is solved by using Laplace transform. •For solving this equation, we introduce the equation-transform model. •Numerical results and plots for pseudospin and spin symmetric solutions are given. •The obtained numerical results by using transform method are compared with orthogonal polynomial method.
Cirpka, Olaf Arie
-flow region): Mass balance (porous medium, given by Darcy`s law): Transport equation, Lagrange multiplierCoupling concept based on thermodynamic equilibrium using the mortar method: Stokes equation (free-Laplace equation is used to determine which tubes are filled with water: Coupling concept for the one-phase micro
Weighted Sobolev spaces for the Laplace equation in periodic infinite strips
and exterior problems with Dirichlet boundary conditions. Then a lift is built in order to cancel the lineic Dirac mass that's introduced by artificial interfaces. This leads to first onto results
Um, E.S.
2013-01-01T23:59:59.000Z
R. , 1992, Conjugate gradient type methods for linearthis case, a conjugate gradient (CG) method can also be theE. Stiefel, 1952, Methods of conjugate gradients for solving
A Bme Solution Of The Stochastic Three-Dimensional Laplace Equation...
model of the geothermal field in the Nea Kessani region (Greece) by means of the Bayesian maximum entropy (BME) method, which describes the temperature variations across space in...
A Bme Solution Of The Stochastic Three-Dimensional Laplace Equation
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 onYou are now leaving Energy.gov You are now leaving Energy.gov You are being directedAnnual Siteof Energy 2,AUDITCaliforniaWeifangwiki Home Jweers's APTAP Energy GmbHKUA &
Representing Trees with Constraints
Curry, Benjamin; Wiggins, Geraint; Hayes, Gillian
This paper presents a method for representing trees using constraint logic programming over finite domains. We describe a class of trees that is of particular interest to us and how we can represent the set of trees belonging to that class using...
ENGI 2422 Laplace Transforms Page 5-01 5.01 Transforms
George, Glyn
ENGI 2422 Laplace Transforms Page 5-01 5.01 Transforms In some situations, a difficult problem can be transformed into an easier problem, whose solution can be transformed back into the solution of the original problem. For example, an integrating factor can sometimes be found to transform a non-exact first order
Stirling's Formula and Laplace's Method How to Put Your Calculus to Good Use
Khoshnevisan, Davar
Stirling's Formula and Laplace's Method OR How to Put Your Calculus to Good Use The Undergraduate.422786847 Ã? 1018 S(40) = 8.14217264483 Ã? 1047 S(100) = 9.32 Ã? 10157 S(400) = Error 2-a #12;Stirling's Formula (De History Stirling's formula was found by Abraham de Moivre and published in "Miscellenea Analyt- ica" 1730
A generalized solution to continuous beams using Laplace transforms
Richardson, Donald Luther
1959-01-01T23:59:59.000Z
, and the third'derivative does not exist at x = a~ and x = bip 25 2~1* ?2 M' R 0 EI1 M gapa EI1 Q EX = 4(Y w ~ 4P a 0 ~6Q 3 Fig. 15. Example problem For this problem Eq. (17) becomes: Y(x) = M"x +Rx - 1-1 (M +Ra+ wa -Pa)~x-a 3 2 (2 + -R)~-RR~-~2..., the slope, moment, and shear at any point along the beam can be determined from the derivatives of this equation. Numerical examples are presented to illustrate the practi- cal application of this method TABLE OF SYMBOLS I, (W(x)} I (w(s)} M(x) VF...
Finite propagation speed for solutions of the wave equation on metric graphs
Vadim Kostrykin; Jürgen Potthoff; Robert Schrader
2011-06-04T23:59:59.000Z
We provide a class of self-adjoint Laplace operators on metric graphs with the property that the solutions of the associated wave equation satisfy the finite propagation speed property. The proof uses energy methods, which are adaptions of corresponding methods for smooth manifolds.
On the ambiguity of field correlators represented by asymptotic perturbation expansions
Irinel Caprini; Jan Fischer; Ivo Vrko?
2009-09-01T23:59:59.000Z
Starting from the divergence pattern of perturbation expansions in Quantum Field Theory and the (assumed) asymptotic character of the series, we address the problem of ambiguity of a function determined by the perturbation expansion. We consider functions represented by an integral of the Laplace-Borel type along a general contour in the Borel complex plane. Proving a modified form of the Watson lemma, we obtain a large class of functions having the same asymptotic perturbation expansion. Some remarks on perturbative QCD are made, using the particular case of the Adler function.
Boundary Integral Equations and the Method of Boundary Elements
Tsynkov, Semyon V.
to consider the interior and exterior Dirichlet and Neumann boundary value problems for the Laplace equation: u 2u x2 1 + 2u x2 2 + 2u x2 3 = 0. Let be a bounded domain of the three-dimensional space R3 and exterior Dirichlet problems, respectively, and problems (13.1b) and (13.1d) are the interior and exterior
Functional Determinant of the Massive Laplace Operator and the Multiplicative Anomaly
G. Cognola; E. Elizalde; S. Zerbini
2014-12-10T23:59:59.000Z
After a brief survey of zeta function regularization issues and of the related multiplicative anomaly, illustrated with a couple of basic examples, namely the harmonic oscillator and quantum field theory at finite temperature, an application of these methods to the computation of functional determinants corresponding to massive Laplacians on spheres in arbitrary dimensions is presented. Explicit formulas are provided for the Laplace operator on spheres in $N=1,2,3,4$ dimensions and for `vector' and `tensor' Laplacians on the unitary sphere $S^4$.
Wave represents displacement Wave represents pressure Source -Sound Waves
Colorado at Boulder, University of
Wave represents displacement Wave represents pressure Source - Sound Waves Distance between crests is wavelength Number of crests passing a point in 1 second is frequency Wave represents pressure Target - Radio Waves Distance between crests is wavelength Number of crests passing a point in 1 second is frequency
INTRODUCTORY LABORATORY 0: DETERMINING AN EQUATION FOR
Minnesota, University of
below are designed to help. Once you are satisfied with an equation, press "Accept Fit Function determine the equations that best represent (fit) the measured data, and compare the resulting Fit Equations with your Prediction Equations. This activity will familiarize you with the procedure for fitting equations
BACHELOR THESIS The High Representative
Vellekoop, Michel
BACHELOR THESIS The High Representative and the Libya Crisis An Assessment Dominique Prescher 8 and the Libya Crisis 2 Table of Content 1. Summary 4 2. Introduction 4 3. Theoretical Framework 8 3.1 Neo 34 9. Bibliography 36 #12;Bachelor Thesis The High Representative and the Libya Crisis 3 List
Representing Periodic Functions by Fourier
Vickers, James
Representing Periodic Functions by Fourier Series 23.2 Introduction In this Section we show how, then the Fourier series expansion takes the form: f(t) = a0 2 + n=1 (an cos nt + bn sin nt) Our main purpose here Fourier coefficients of a function of period 2 calculate Fourier coefficients of a function of general
Rivera, Eugenio J.; Laughlin, Gregory; Vogt, Steven S.; Meschiari, Stefano [UCO/Lick Observatory, University of California at Santa Cruz, Santa Cruz, CA 95064 (United States); Butler, R. Paul [Department of Terrestrial Magnetism, Carnegie Institution of Washington, 5241 Broad Branch Road NW, Washington DC, 20015-1305 (United States); Haghighipour, Nader, E-mail: rivera@ucolick.or [Institute for Astronomy and NASA Astrobiology Institute, University of Hawaii-Monoa, 2680 Woodlawn Drive, Honolulu, HI 96822 (United States)
2010-08-10T23:59:59.000Z
Continued radial velocity (RV) monitoring of the nearby M4V red dwarf star GJ 876 with Keck/High Resolution Echelle Spectrograph has revealed the presence of a Uranus-mass fourth planetary companion in the system. The new planet has a mean period of P{sub e} = 126.6 days (over the 12.6-year baseline of the RV observations), and a minimum mass of m{sub e} sin i{sub e} = 12.9 {+-} 1.7 M {sub +}. The detection of the new planet has been enabled by significant improvements to our RV data set for GJ 876. The data have been augmented by 36 new high-precision measurements taken over the past five years. In addition, the precision of all of the Doppler measurements have been significantly improved by the incorporation of a high signal-to-noise template spectrum for GJ 876 into the analysis pipeline. Implementation of the new template spectrum improves the internal rms errors for the velocity measurements taken during 1998-2005 from 4.1 m s{sup -1} to 2.5 m s{sup -1}. Self-consistent, N-body fits to the RV data set show that the four-planet system has an invariable plane with an inclination relative to the plane of the sky of i = 59.{sup 0}5. The fit is not significantly improved by the introduction of a mutual inclination between the planets 'b' and 'c', but the new data do confirm a non-zero eccentricity, e{sub d} = 0.207 {+-} 0.055 for the innermost planet, 'd'. In our best-fit coplanar model, the mass of the new component is m{sub e} = 14.6 {+-} 1.7 M {sub +}. Our best-fitting model places the new planet in a three-body resonance with the previously known giant planets (which have mean periods of P{sub c} = 30.4 and P{sub b} = 61.1 days). The critical argument, {psi}{sub Laplace} = {lambda} {sub c} - 3{lambda} {sub b} + 2{lambda} {sub e}, for the Laplace resonance librates with an amplitude of {Delta}{psi}{sub Laplace} = 40{sup 0} {+-} 13{sup 0} about {psi}{sub Laplace} = 0{sup 0}. Numerical integration indicates that the four-planet system is stable for at least a billion years (at least for the coplanar cases). This resonant configuration of three giant planets orbiting an M dwarf primary differs from the well-known Laplace configuration of the three inner Galilean satellites of Jupiter, which are executing very small librations about {psi}{sub Laplace} = 180{sup 0} and which never experience triple conjunctions. The GJ 876 system, by contrast, comes close to a triple conjunction between the outer three planets once per every orbit of the outer planet, 'e'.
General Engineer / Physical Scientist (Facility Representative)
Broader source: Energy.gov [DOE]
Facility Representatives (FRs) are line management's on-site technical representative with responsibility for identifying and evaluating environmental, safety and health issues and concerns,...
Representative Atmospheric Plume Development for Elevated Releases
Eslinger, Paul W.; Lowrey, Justin D.; McIntyre, Justin I.; Miley, Harry S.; Prichard, Andrew W.
2014-03-03T23:59:59.000Z
An atmospheric explosion of a low-yield nuclear device will produce a large number of radioactive isotopes, some of which can be measured with airborne detection systems. However, properly equipped aircraft may not arrive in the region where an explosion occurred for a number of hours after the event. Atmospheric conditions will have caused the radioactive plume to move and diffuse before the aircraft arrives. The science behind predicting atmospheric plume movement has advanced enough that the location of the maximum concentrations in the plume can be determined reasonably accurately in real time, or near real time. Given the assumption that an aircraft can follow a plume, this study addresses the amount of atmospheric dilution expected to occur in a representative plume as a function of time past the release event. The approach models atmospheric transport of hypothetical releases from a single location for every day in a year using the publically available HYSPLIT code. The effective dilution factors for the point of maximum concentration in an elevated plume based on a release of a non-decaying, non-depositing tracer can vary by orders of magnitude depending on the day of the release, even for the same number of hours after the release event. However, the median of the dilution factors based on releases for 365 consecutive days at one site follows a power law relationship in time, as shown in Figure S-1. The relationship is good enough to provide a general rule of thumb for estimating typical future dilution factors in a plume starting at the same point. However, the coefficients of the power law function may vary for different release point locations. Radioactive decay causes the effective dilution factors to decrease more quickly with the time past the release event than the dilution factors based on a non-decaying tracer. An analytical expression for the dilution factors of isotopes with different half-lives can be developed given the power law expression for the non-decaying tracer. If the power-law equation for the median dilution factor, Df, based on a non-decaying tracer has the general form Df=a?×t?^(-b) for time t after the release event, then the equation has the form Df=e^(-?t)×a×t^(-b) for a radioactive isotope, where ? is the decay constant for the isotope.
Crippen, Thomas Edward
1967-01-01T23:59:59.000Z
(o", t) = ? [P(f)', E) ? /?(O-, f)] t - 0 (3. 9) 4 ~ 0 . (3. 10) Applying the Laplace transform I I&f~t)) = , J e pr~ c)d& = . prx, s) (3. 11) the system to be solved in the transform p(x, s) is ? q*prx?) = 0, xdX* E i mba' (3 12) dp(o, s) K cl..., (b, S) j (3. 37) I cJ& 5) g the solution of which is (3. 38) f M, (r, s) sinb c((b-dt) t((b'q +('. , )CoSgq(b-d. ) S(nba, (b-r ) ? (C~q +C~ )sinhq (b-o. ) sinhq (b-r) +q, (b q, +C, ) si nh c(, (r-e. ) s h(s) (3 39) g (rS) ? d~P -(r- h)ps e...
Pennsylvania House of Representatives Republican Policy Committee
Heller, Don
Pennsylvania House of Representatives Republican Policy Committee Westmoreland County Community, Chairman Turzai and Representative Stairs, for inviting me here this morning to talk to you about funding for higher education in the Commonwealth. I would be remiss if I did not note that Representative Stairs
USING GALOIS LATTICES TO REPRESENT NETWORK DATA
White, Douglas R.
USING GALOIS LATTICES TO REPRESENT NETWORK DATA Linton C. Freeman* Douglas R. White* Galois-binary adjacency matrix,where each row and each column in the matrix represents a social actor. A cell entry is 1 to represent the networks they study. Graph theoretic representations permit the visu- *University
Spatially Discrete FitzHugh-Nagumo Equations
Elmer, Christopher E.; Van Vleck, Erik
2005-04-05T23:59:59.000Z
We consider pulse and front solutions to a spatially discrete FitzHugh--Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving ...
Chemical equation set and complete figures set
Meskhidze, Nicholas
represents the electronic supplement of our article "Observed and simulated global distribution and budget Equations 5 Propane (C3H8) Comparison of simulated and observed C3H8 mixing ratios in pmol/mol for all
Sadybekov, Makhmud A. [Institute of Mathematics and Mathematical Modeling, 050010, Almaty (Kazakhstan); Torebek, Berikbol T.; Turmetov, Batirkhan Kh. [Akhmet Yasawi International Kazakh-Turkish University, 161200, Turkistan (Kazakhstan)
2014-08-20T23:59:59.000Z
The paper is devoted to the investigation of questions about constructing the explicit form of the Green’s function of the Robin problem. For constructing this function we use the representation of the fundamental solution of the Laplace equation in the form of a series. An integral representation of the Green function is obtained and for some values of the parameters, the problem is presented in elementary functions.
The determination of inverse Laplace transforms by a Gauss-Laguerre approximation
Suder, Richard James
1968-01-01T23:59:59.000Z
)). (3. 21) i=1 X. 1 -2 For simplicity, let g(x, ) = e (x, +1) f(ln(x+1)). Then letting s take 1 1 i on the values 1, . . . , n results in the system of equations n -k F(k+1) = Z a. (x, +1) g(x, ); k=0, 1, . . . , n-l. (3. 22) i= 1 1 Expressing... the system in the matrix form, 0 = Ax, we have F (1) F(2) F (n) (3. 23) (x +1) (x +1) 1 (x +1) n (x +1) n and (x +1) (x +1) a g(x) a g(x) (x +1) (3. 24) ang(xn) (3. 25) 20 Again, the matrix A is a Vandermonde matrix and is ill-condi- tioned...
Cornaton, F J
2011-01-01T23:59:59.000Z
Environmental fluid circulations are very often characterized by analyzing the fate and behavior of natural and anthropogenic tracers. Among these tracers, age is taken as an ideal tracer which can yield interesting diagnoses, as for example the characterization of the mixing and renewal of water masses, of the fate and mixing of contaminants, or the calibration of hydro-dispersive parameters used by numerical models. Such diagnoses are of great interest in atmospheric and ocean circulation sciences, as well in surface and subsurface hydrology. The temporal evolution of groundwater age and its frequency distributions can display important changes as flow regimes vary due to natural change in climate and hydrologic conditions and/or human induced pressures on the resource to satisfy the water demand. Steady-state age frequency distributions can be modelled using standard numerical techniques, since the general balance equation describing age transport under steady-state flow conditions is exactly equivalent to...
Improved f_{D*_(s)}, f_{B*_(s)} and f_{B_c} from QCD Laplace sum rules
Stephan Narison
2015-06-01T23:59:59.000Z
Anticipating future precise measurements of the D- and B-like (semi-)leptonic and hadronic decays for alternative determinations of the CKM mixing angles, we pursue our program on the D- and B-like mesons by improving the estimates of f_{D*_(s)} and f_{B*_(s)} (analogue to f_\\pi) by using the well-established (inverse) Laplace sum rules (LSR) and / or their suitable ratios less affected by the systematics, which are known to N2LO pQCD and where the complete d = 6 non-perturbative condensate contributions are included. The convergence of the PT series is analyzed by an estimate of the N3LO terms based on geometric growth of the coefficients. In addition to the standard LSR variable {\\tau} and the QCD continuum threshold t_c stability criteria, we extract our optimal results by also requiring stability on the variation of the arbitrary QCD subtraction point {\\mu}. We complete the analysis by a direct estimate of f_{B_c}. Our results summarized in Tables III and IV are compared with some other recent estimates.
Klaas J. H. Giesbertz
2015-06-16T23:59:59.000Z
A theorem for the invertibility of arbitrary response functions is presented under the following conditions: the time-dependence of the potentials should be Laplace transformable and the initial state should be a ground state, though it might be degenerate. This theorem provides a rigorous foundation for all density-functional-like theories in the time-dependent linear response regime. Especially for time-dependent one-body reduced density matrix (1RDM) functional theory this is an important step forward, since a solid foundation has currently been lacking. The theorem is equally valid for static response functions in the non-degenerate case, so can be used to characterize the uniqueness of the potential in the ground state version of the corresponding density-functional-like theory. Such a classification of the uniqueness of the non-local potential in ground state 1RDM functional theory has been lacking for decades. With the aid of presented invertibility theorem presented here, a complete classification of the non-uniqueness of the non-local potential in 1RDM functional theory can be given for the first time.
An Introduction to Venture Capital Granite representatives
Anderson, Richard
May 2006 An Introduction to Venture Capital #12;2 Granite representatives Sam Kingsland Â Managing;3 Introduction to Granite Ventures Founded in 1992 Granite has 9 investment professionals Over $1B under
Facility Representative Program, Criteria & Review Approach Documents
Broader source: Energy.gov [DOE]
This page provides Criteria Review and Approach Documents (CRADS) to assist Facility Representatives. Please submit your CRADS for posting by sending them to the HQ FR Program Manager. Please include the subject, date, and a contact person.
General Engineer/Physical Scientist (Facility Representative)
Broader source: Energy.gov [DOE]
A successful candidate in this position will serve as an on-site technical representative to identify and evaluate environmental, safety, and health issues and concerns; as well as diagnose root...
Representing Information Collections for Visual Cognition
Koh, Eunyee
2009-05-15T23:59:59.000Z
The importance of digital information collections is growing. Collections are typically represented with text-only, in a linear list format, which turns out to be a weak representation for cognition. We learned this from empirical research...
Walter, M.Todd
not fully penetrate the aquifer, the solution still produces good results [Szilagyi, J. Sensitivity analysis
OBERG, B.D.
2003-03-22T23:59:59.000Z
This document supports the Tank Farms Documented Safety Analysis and describes the risk binning process and the technical basis for assigning risk bins for the release from contaminated facility representative accident and associated represented hazardous conditions. The representative accidents qualitatively considered are fires, deflagrations, and load drops in contaminated areas. The risks from a separate evaluation of compressed gas hazards are also summarized.
The Fractional Kinetic Equation and Thermonuclear Functions
H. J. Haubold; A. M. Mathai
2000-01-16T23:59:59.000Z
The paper discusses the solution of a simple kinetic equation of the type used for the computation of the change of the chemical composition in stars like the Sun. Starting from the standard form of the kinetic equation it is generalized to a fractional kinetic equation and its solutions in terms of H-functions are obtained. The role of thermonuclear functions, which are also represented in terms of G- and H-functions, in such a fractional kinetic equation is emphasized. Results contained in this paper are related to recent investigations of possible astrophysical solutions of the solar neutrino problem.
Large Solutions for a System of Elliptic Equations
DÃaz, JesÃºs Ildefonso
, along with a heat equation; the equations are nonlinearly coupled through the buoyancy force and viscous-Stokes equations without thermal coupling; but if viscous heating is taken into account, well- posedness is an open). The source terms and | v|2 represent the buoyancy force and viscous heating, respectively. The system (1
An iconic approach to representing climate change
Feigon, Brooke
1 An iconic approach to representing climate change Saffron Jessica O'Neill A thesis submitted-experts to be meaningfully engaged with the issue of climate change. This thesis investigates the value of engaging non-experts with climate change at the individual level. Research demonstrates that individuals perceive climate change
The Simplicity Device: Your Personal Mobile Representative
The Simplicity Device: Your Personal Mobile Representative Giovanni Bartolomeo1, Francesca Martire1 mobile phone that stores and handles personal information about the user. The Simplicity Device can be connected (e.g. via Bluetooth) to several other devices thus allowing personalization of services
Simulating a Nationally Representative Housing Sample Using EnergyPlus
Hopkins, Asa S.
2011-01-01T23:59:59.000Z
Simulating a Nationally Representative Housing Sample UsingSimulating a Nationally Representative Housing Sample Usingcalibrated, nationally representative set of simulated homes
Selection of bioclimatically representative biological reserve systems under climate change
Pyke, C R; Fischer, Douglas T
2005-01-01T23:59:59.000Z
of bioclimatically representative biological reserve systemsthat are bioclimatically representative across a range ofa ?at line (i.e. a representative sample of current climate
Drug representatives: Giving you lunch or stealing your soul?
Higgins, Steven P
2007-01-01T23:59:59.000Z
with pharmaceutical representatives are too useful topharmaceutical sales representatives. JAMA. 1995 Apr 26;273(Drug representatives: Giving you lunch or stealing your
Examination of Hydrate Formation Methods: Trying to Create Representative Samples
Kneafsey, T.J.
2012-01-01T23:59:59.000Z
Methods: Trying to Create Representative Samples Timothy J.Methods: Trying to Create Representative Samples Timothy J.Introduction Forming representative gas hydrate-bearing
Data structures and apparatuses for representing knowledge
Hohimer, Ryan E; Thomson, Judi R; Harvey, William J; Paulson, Patrick R; Whiting, Mark A; Tratz, Stephen C; Chappell, Alan R; Butner, Robert S
2014-02-18T23:59:59.000Z
Data structures and apparatuses to represent knowledge are disclosed. The processes can comprise labeling elements in a knowledge signature according to concepts in an ontology and populating the elements with confidence values. The data structures can comprise knowledge signatures stored on computer-readable media. The knowledge signatures comprise a matrix structure having elements labeled according to concepts in an ontology, wherein the value of the element represents a confidence that the concept is present in an information space. The apparatus can comprise a knowledge representation unit having at least one ontology stored on a computer-readable medium, at least one data-receiving device, and a processor configured to generate knowledge signatures by comparing datasets obtained by the data-receiving devices to the ontologies.
GRIGSBY, J.M.
2005-03-03T23:59:59.000Z
Technical Basis Document for the Nuclear Criticality Representative Accident and Associate Represented Hazardous Conditions. Revision 2 of RPP-12371 provides accident consequence estimates for a hypothetical criticality event in an above grade facility (e.g. DBVS, CH-TRUM, and S-109 PWRS). This technical basis document was developed to support RPP-13033, ''Tank Farms Documented Safety Analysis (DSA)'', and describes the risk binning process and the technical basis for assigning risk bins for the nuclear criticality representative accident and associated hazardous conditions. The purpose of the risk binning process is to determine the need for safety-significant structures, systems, and components (SSC) and technical safety requirement (TSR)-level controls for a given representative accident or represented hazardous condition based on an evaluation of the frequency and consequence. Note that the risk binning process is not applied to facility workers, because all facility worker hazardous conditions are considered for safety-significant SSCs and/or TSR-level controls.
Aristophanes Dimakis; Folkert Mueller-Hoissen
2014-09-27T23:59:59.000Z
It is shown that higher Bruhat orders admit a decomposition into a higher Tamari order, the corresponding dual Tamari order, and a "mixed order". We describe simplex equations (including the Yang-Baxter equation) as realizations of higher Bruhat orders. Correspondingly, a family of "polygon equations" realizes higher Tamari orders. They generalize the well-known pentagon equation. The structure of simplex and polygon equations is visualized in terms of deformations of maximal chains in posets forming 1-skeletons of polyhedra. The decomposition of higher Bruhat orders induces a reduction of the N-simplex equation to the (N+1)-gon equation, its dual, and a compatibility equation.
Non-representative quantum mechanical weak values
B. E. Y. Svensson
2015-03-06T23:59:59.000Z
The operational definition of a weak value for a quantum mechanical system involves the limit of the weak measurement strength tending to zero. I study how this limit compares to the situation for the undisturbed (no weak measurement) system. Under certain conditions, which I investigate, this limit is discontinuous in the sense that it does not merge smoothly to the Hilbert space description of the undisturbed system. Hence, in these discontinuous cases, the weak value does not represent the undisturbed system. As a result, conclusions drawn from such weak values regarding the properties of the studied system cannot be upheld. Examples are given.
On Positive Integers Represented as Arithmetic Series
Dimitris Sardelis
2008-06-27T23:59:59.000Z
The aim of the present article is to explore the possibilities of representing positive integers as sums of other positive integers and highlight certain fundamental connections between their multiplicative and additive properties. In particular, we shall be concerned with the representation of positive integers as arithmetic series of the simplest kind, i.e., either as sums of successive odd positive numbers, or as sums of successive even positive numbers (both treated as Problem 1), or as sums of consecutive positive integers (treated as Problem 2).
A Modified Equation for Neural Conductance and Resonance
M. Robert Showalter
1999-05-06T23:59:59.000Z
A modified equation, the S-K equation, fits data that the current neural conduction equation, the K-R equation, does not. The S-K equation is a modified Heaviside equation, based on a new interpretation of cross terms. Elements of neural anatomy and function are reviewed to put the S-K equation into context. The fit between S-K and resonance-like neural data is then shown. Appendix 1: Derivation of crossterms that represent combinations of physical laws for a line conductor of finite length. Appendix 2: Evaluation of crossterms that represent combinations of physical laws according to consistency arguments. Appendix 3: Some background on resonance. Appendix 4: Web access to some brain modeling, correspondence with NATURE, and discussion of the work in George Johnson's New York Times forums.
GOETZ, T.G.
2003-06-17T23:59:59.000Z
This document was developed to support the documented safety analysis (DSA) and describes the process and basis for assigning risk bins for the nuclear criticality representative accident and associated hazardous conditions. Revision 1 incorporates ORP IRT comments to enhance the technical presentation and also makes editorial changes. This technical basis document was developed to support the documented safety analysis (DSA), and describes the risk binning process and the technical basis for assigning risk bins for the nuclear criticality representative accident and associated hazardous conditions. The purpose of the risk binning process is to determine the need for safety-significant structures, systems, and components (SSC) and technical safety requirement (TSR)-level controls for a given representative accident or represented hazardous condition based on an evaluation of the frequency and consequence.
Relativistic quaternionic wave equation
Schwartz, C
2006-01-01T23:59:59.000Z
Majorana representation of the Dirac equation, i ? ? ? ? ? = m ? , where all four of the gamma matrices
Representing the vacuum polarization on de Sitter
Leonard, Katie E.; Woodard, Richard P. [Department of Physics, University of Florida, Gainesville, Florida 32611 (United States)] [Department of Physics, University of Florida, Gainesville, Florida 32611 (United States); Prokopec, Tomislav [Institute of Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)] [Institute of Theoretical Physics (ITP) and Spinoza Institute, Utrecht University, Postbus 80195, 3508 TD Utrecht (Netherlands)
2013-03-15T23:59:59.000Z
Previous studies of the vacuum polarization on de Sitter have demonstrated that there is a simple, noncovariant representation of it in which the physics is transparent. There is also a cumbersome, covariant representation in which the physics is obscure. Despite being unwieldy, the latter form has a powerful appeal for those who are concerned about de Sitter invariance. We show that nothing is lost by employing the simple, noncovariant representation because there is a closed form procedure for converting its structure functions to those of the covariant representation. We also present a vastly improved technique for reading off the noncovariant structure functions from the primitive diagrams. And we discuss the issue of representing the vacuum polarization for a general metric background.
CARSON, D.M.
2003-03-20T23:59:59.000Z
This technical basis document was developed to support the Tank Farms Documented Safety Analysis (DSA), and describes the risk binning process and the technical basis for assigning risk bins for the nuclear criticality representative accident and associated hazardous conditions. The purpose of the risk binning process is to determine the need for safety-significant structures, systems, and components (SSC) and technical safety requirement (TSR)-level controls for a given representative accident or represented hazardous condition based on an evaluation of the frequency and consequence. Note that the risk binning process is not applied to facility workers, because all facility worker hazardous conditions are considered for safety-significant SSCs and/or TSR-level controls. Determination of the need for safety-class SSCs was performed in accordance with DOE-STD-3009-94, ''Preparation Guide for US Department of Energy Nonreactor Nuclear Facility Documented Safety Analyses'', as described in this report.
Greening the U.S. House of Representatives
Diamond,, Rick
2008-01-01T23:59:59.000Z
Officer, U.S. House of Representatives, June 21, 2007. Finalof the U.S. House of Representatives, and the Federal EnergyGreening the U.S. House of Representatives Rick Diamond and
Reference Buildings by Climate Zone and Representative City:...
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3Q CY2005 (PDF), Facility Representative Program Performance...
Office of Environmental Management (EM)
3Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report 3Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report...
3Q CY2007 (PDF), Facility Representative Program Performance...
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7 (PDF), Facility Representative Program Performance Indicators Quarterly Report 3Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report Attached...
On a nonlocal dispersive equation modeling particle suspensions
Zumbrun, Kevin
On a nonlocal dispersive equation modeling particle suspensions Kevin Zumbrun July, 1996 Abstract: We study a nonlocal, scalar conservation law, u t + ((K a \\Lambda u)u) x = 0, modeling sedimentation, and \\Lambda represents convolution. We show this to be a dispersive regularization of the Hopf equation, u
An Alternative Method for Solving a Certain Class of Fractional Kinetic Equations
R. K. Saxena; A. M. Mathai; H. J. Haubold
2010-01-13T23:59:59.000Z
An alternative method for solving the fractional kinetic equations solved earlier by Haubold and Mathai (2000) and Saxena et al. (2002, 2004a, 2004b) is recently given by Saxena and Kalla (2007). This method can also be applied in solving more general fractional kinetic equations than the ones solved by the aforesaid authors. In view of the usefulness and importance of the kinetic equation in certain physical problems governing reaction-diffusion in complex systems and anomalous diffusion, the authors present an alternative simple method for deriving the solution of the generalized forms of the fractional kinetic equations solved by the aforesaid authors and Nonnenmacher and Metzler (1995). The method depends on the use of the Riemann-Liouville fractional calculus operators. It has been shown by the application of Riemann-Liouville fractional integral operator and its interesting properties, that the solution of the given fractional kinetic equation can be obtained in a straight-forward manner. This method does not make use of the Laplace transform.
Yaws, C.L.; Yang, H.C.; Hopper, J.R.; Cawley, W.A. (Lamar Univ., Beaumont, TX (US))
1991-01-01T23:59:59.000Z
Saturated liquid densities for organic chemicals are given as functions of temperature using a modified Rackett equation.
The Alternative Form of Fermat's Equation
Anatoly A. Grinberg
2014-09-25T23:59:59.000Z
An alternative form of Fermats equation[1] is proposed. It represents a portion of the identity that includes three terms of Fermats original equation. This alternative form permits an elementary and compact proof of the first case of Fermats Theorem (FT) for a number of specific exponents. Proofs are given for exponents n equal to 3, 5, 7,11 and 13. All these cases have already been proven using the original Fermats equation, not to mention the fact that a complete proof of FT was given by A. Wiles [2]. In view of this, the results presented here carry a purely methodological interest. They illustrate the effectiveness and simplicity of the method,compared with the well-known classical approach. An alternative form of the equation permits use of the criterion of the incompatibility of its terms, avoiding the labor-intensive and sophisticated calculations associated with traditional approach.
What does motor efference copy represent? evidence from speech production
Niziolek, CA; Nagarajan, SS; Houde, JF
2013-01-01T23:59:59.000Z
What does motor efference copy represent? Evidence fromAbbreviated title: What does motor efference copy represent?SJ, Wang X (2003) Sensory-Motor Interaction in the Primate
Solutions of Penrose's Equation
E. N. Glass; Jonathan Kress
1998-09-27T23:59:59.000Z
The computational use of Killing potentials which satisfy Penrose's equation is discussed. Penrose's equation is presented as a conformal Killing-Yano equation and the class of possible solutions is analyzed. It is shown that solutions exist in spacetimes of Petrov type O, D or N. In the particular case of the Kerr background, it is shown that there can be no Killing potential for the axial Killing vector.
Loinger, A
2015-01-01T23:59:59.000Z
The physical results of quantum field theory are independent of the various specializations of Dirac's gamma-matrices, that are employed in given problems. Accordingly, the physical meaning of Majorana's equation is very dubious,considering that it is a consequence of ad hoc matrix representations of the gamma-operators. Therefore, it seems to us that this equation cannot give the equation of motion of the neutral WIMPs (weakly interacting massive particles), the hypothesized constitutive elements of the Dark Matter.
Generalized Harmonic Equations in 3+1 Form
J. David Brown
2011-11-29T23:59:59.000Z
The generalized harmonic equations of general relativity are written in 3+1 form. The result is a system of partial differential equations with first order time and second order space derivatives for the spatial metric, extrinsic curvature, lapse function and shift vector, plus fields that represent the time derivatives of the lapse and shift. This allows for a direct comparison between the generalized harmonic and the Arnowitt-Deser-Misner formulations. The 3+1 generalized harmonic equations are also written in terms of conformal variables and compared to the Baumgarte-Shapiro-Shibata-Nakamura equations with moving puncture gauge conditions.
Visualizing Scalar Fields Represented by Adaptive Square Triangulations
[Sabella 88], abÂ sorption and reflection [Max 95] providing a means of representing the field by a colored
acid phosphatase representing: Topics by E-print Network
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active demethylation represent: Topics by E-print Network
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Manager Meeting Representatives Environmental Sciences and Ecology Websites Summary: with security requirements associated with imaging, use only the DP form located at either of...
Appointment of Contracting Officers and Contracting Officer Representatives
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2004-04-21T23:59:59.000Z
The Order established procedures governing the selection, appointment and termination of Department of Energy contracting officers and contracting officer representatives. Cancels DOE O 541.1A.
4Q CY2000 (PDF), Facility Representative Program Performance...
Broader source: Energy.gov (indexed) [DOE]
"The Facility Representative Program Performance Indicators Quarterly Report is attached, covering the period from October to December 2000. Data for these indicators are gathered...
A Class Representative Model for Pure Parsimony Haplotyping
Daniele Catanzaro
2008-01-10T23:59:59.000Z
Jan 10, 2008 ... A Class Representative Model for Pure Parsimony Haplotyping. Daniele Catanzaro (dacatanz ***at*** ulb.ac.be) Alessandra Godi (godi ***at*** ...
Reference Buildings by Climate Zone and Representative City:...
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akfairbankspre1980v1-47-2.zip More Documents & Publications Reference Buildings by Climate Zone and Representative City: 8 Fairbanks, Alaska Reference Buildings by Climate Zone...
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Accountable Property Representatives List and Property Pass Signer...
Broader source: Energy.gov (indexed) [DOE]
Accountable Property RepresentativesProperty Pass Authorization 1202015 Employee Authorized Organization Phone APR Primary Property Pass Signer PETEET, LISA J. ALL ORGS (202)...
Burra G. Sidharth
2009-11-10T23:59:59.000Z
We consider the behavior of the particles at ultra relativistic energies, for both the Klein-Gordon and Dirac equations. We observe that the usual description is valid for energies such that we are outside the particle's Compton wavelength. For higher energies however, both the Klein-Gordon and Dirac equations get modified and this leads to some new effects for the particles, including the appearance of anti particles with a slightly different energy.
Relativistic Guiding Center Equations
White, R. B. [PPPL; Gobbin, M. [Euratom-ENEA Association
2014-10-01T23:59:59.000Z
In toroidal fusion devices it is relatively easy that electrons achieve relativistic velocities, so to simulate runaway electrons and other high energy phenomena a nonrelativistic guiding center formalism is not sufficient. Relativistic guiding center equations including flute mode time dependent field perturbations are derived. The same variables as used in a previous nonrelativistic guiding center code are adopted, so that a straightforward modifications of those equations can produce a relativistic version.
Solving Symbolic Equations with PRESS
Sterling, L.; Bundy, Alan; Byrd, L.; O'Keefe, R.; Silver, B.
1982-01-01T23:59:59.000Z
We outline a program, PRESS (PRolog Equation Solving System) for solving symbolic, transcendental, non-differential equations. The methods used for solving equations are described, together with the service facilities. The ...
Problems with the Newton-Schrödinger Equations
C. Anastopoulos; B. L. Hu
2014-07-27T23:59:59.000Z
We examine the origin of the Newton-Schr\\"odinger equations (NSEs) that play an important role in alternative quantum theories (AQT), macroscopic quantum mechanics and gravity-induced decoherence. We show that NSEs for individual particles do not follow from general relativity (GR) plus quantum field theory (QFT). Contrary to what is commonly assumed, the NSEs are not the weak-field (WF), non-relativistic (NR) limit of the semi-classical Einstein equation (SCE) (this nomenclature is preferred over the `M\\/oller-Rosenfeld equation') based on GR+QFT. The wave-function in the NSEs makes sense only as that for a mean field describing a system of $N$ particles as $N \\rightarrow \\infty$, not that of a single or finite many particles. From GR+QFT the gravitational self-interaction leads to mass renormalization, not to a non-linear term in the evolution equations of some AQTs. The WF-NR limit of the gravitational interaction in GR+QFT involves no dynamics. To see the contrast, we give a derivation of the equation (i) governing the many-body wave function from GR+QFT and (ii) for the non-relativistic limit of quantum electrodynamics (QED). They have the same structure, being linear, and very different from NSEs. Adding to this our earlier consideration that for gravitational decoherence the master equations based on GR+QFT lead to decoherence in the energy basis and not in the position basis, despite some AQTs desiring it for the `collapse of the wave function', we conclude that the origins and consequences of NSEs are very different, and should be clearly demarcated from those of the SCE equation, the only legitimate representative of semiclassical gravity, based on GR+QFT.
Nazari-Golshan, A. [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of)] [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of); Nourazar, S. S. [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of) [Department of Physics, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of); Department of Mechanical Engineering, Amirkabir University of Technology, Tehran (Iran, Islamic Republic of)
2013-10-15T23:59:59.000Z
The time fractional modified Korteweg-de Vries (TFMKdV) equation is solved to study the nonlinear propagation of small but finite amplitude dust ion-acoustic (DIA) solitary waves in un-magnetized dusty plasma with trapped electrons. The plasma is composed of a cold ion fluid, stationary dust grains, and hot electrons obeying a trapped electron distribution. The TFMKdV equation is derived by using the semi-inverse and Agrawal's methods and then solved by the Laplace Adomian decomposition method. Our results show that the amplitude of the DIA solitary waves increases with the increase of time fractional order ?, the wave velocity v{sub 0}, and the population of the background free electrons ?. However, it is vice-versa for the deviation from isothermality parameter b, which is in agreement with the result obtained previously.
Representing a Robotic Domain Using Temporal Description Logics
Franconi, Enrico
Representing a Robotic Domain Using Temporal Description Logics Alessandro Artale artale@irst.itc effects; effects may not directly follow the action but more complex temporal relations may hold describes a collection of properties of the world holding at a certain time. Actions are represented through
Representative well models for eight geothermal-resource areas
Carson, C.C.; Lin, Y.T.; Livesay, B.J.
1983-02-01T23:59:59.000Z
Representative well models have been constructed for eight major geothermal-resource areas. The models define representative times and costs associated with the individual operations that can be expected during drilling and completion of geothermal wells. The models were made for and have been used to evaluate the impacts of potential new technologies. The nature, construction, and validation of the models are presented.
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
Department of Defense Representatives Visit Hanford to Benchmark Safety
Broader source: Energy.gov [DOE]
RICHLAND, Wash., December 16, 2005, Representatives of the Department of Defense's (DoD's) Voluntary Protection Program Center of Excellence (VPP CX) working to reduce injuries at selected (DoD)...
Reference Buildings by Climate Zone and Representative City:...
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A Baltimore, Maryland Reference Buildings by Climate Zone and Representative City: 4A Baltimore, Maryland In addition to the ZIP file for each building type, you can directly view...
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Changes to the Facility Representative Program, 10/26/1999
Broader source: Energy.gov [DOE]
Effective October 1, 1999, the Deputy Secretary tasked this office to manage the Facility Representative Program. We look forward to working with you in continuing and improving this very important...
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Appointment of Contracting Officers and Contracting Officer Representatives
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
1996-04-30T23:59:59.000Z
To establish procedures governing the selection, appointment, and termination of contracting officers and for the appointment of contracting officer representatives. Cancels DOE Order 4200.4A. Canceled by DOE O 541.1A.
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Quantum states representing perfectly secure bits are always distillable
Pawel Horodecki; Remigiusz Augusiak
2007-11-06T23:59:59.000Z
It is proven that recently introduced states with perfectly secure bits of cryptographic key (private states representing secure bit) [K. Horodecki et al., Phys. Rev. Lett. 94, 160502 (2005)] as well as its multipartite and higher dimension generalizations always represent distillable entanglement. The corresponding lower bounds on distillable entanglement are provided. We also present a simple alternative proof that for any bipartite quantum state entanglement cost is an upper bound on distillable cryptographic key in bipartite scenario.
Applications of Differential Equations
Vickers, James
several techniques for solving commonly-occurring first- order and second-order ordinary differential electrical circuits, projectile motion and Newton's law of cooling recognise and solve second-order ordinary's law of cooling In section 19.1 we introduced Newton's law of cooling. The model equation was d dt = -k
2014-07-15T23:59:59.000Z
Page 1 .... Topics to be covered include Laplace?s equation, ... papers on these topic will be discussed and some of the mathematical theory and tools used in.
Maddalena, Damian; Hoffman, Forrest; Kumar, Jitendra; Hargrove, William
2014-08-01T23:59:59.000Z
Sampling networks rarely conform to spatial and temporal ideals, often comprised of network sampling points which are unevenly distributed and located in less than ideal locations due to access constraints, budget limitations, or political conflict. Quantifying the global, regional, and temporal representativeness of these networks by quantifying the coverage of network infrastructure highlights the capabilities and limitations of the data collected, facilitates upscaling and downscaling for modeling purposes, and improves the planning efforts for future infrastructure investment under current conditions and future modeled scenarios. The work presented here utilizes multivariate spatiotemporal clustering analysis and representativeness analysis for quantitative landscape characterization and assessment of the Fluxnet, RAINFOR, and ForestGEO networks. Results include ecoregions that highlight patterns of bioclimatic, topographic, and edaphic variables and quantitative representativeness maps of individual and combined networks.
DOE Data Explorer [Office of Scientific and Technical Information (OSTI)]
Maddalena, Damian; Hoffman, Forrest; Kumar, Jitendra; Hargrove, William
Sampling networks rarely conform to spatial and temporal ideals, often comprised of network sampling points which are unevenly distributed and located in less than ideal locations due to access constraints, budget limitations, or political conflict. Quantifying the global, regional, and temporal representativeness of these networks by quantifying the coverage of network infrastructure highlights the capabilities and limitations of the data collected, facilitates upscaling and downscaling for modeling purposes, and improves the planning efforts for future infrastructure investment under current conditions and future modeled scenarios. The work presented here utilizes multivariate spatiotemporal clustering analysis and representativeness analysis for quantitative landscape characterization and assessment of the Fluxnet, RAINFOR, and ForestGEO networks. Results include ecoregions that highlight patterns of bioclimatic, topographic, and edaphic variables and quantitative representativeness maps of individual and combined networks.
Stochastic equations for thermodynamics
Tsekov, R
2015-01-01T23:59:59.000Z
The applicability of stochastic differential equations to thermodynamics is considered and a new form, different from the classical Ito and Stratonovich forms, is introduced. It is shown that the new presentation is more appropriate for the description of thermodynamic fluctuations. The range of validity of the Boltzmann-Einstein principle is also discussed and a generalized alternative is proposed. Both expressions coincide in the small fluctuation limit, providing a normal distribution density.
66 Academic Nurse Program representatives assist the School
Grishok, Alla
interviews, professional development, and dealing with the unknown. Anesthesia Program Representative: Laura of safe surgery and anesthesia practices. Since gradua- tion, he has been involved in global anesthesia also currently serves on the Anesthesia Committee for the Global Alliance for Surgical and Anesthesia
Does convective aggregation need to be represented in cumulus parameterizations?
Does convective aggregation need to be represented in cumulus parameterizations? Isabelle Tobin,1 in phenomena such as ``hot spots'' or the Madden-Julian Oscillation. These findings support the need climate models lack any such representation. The ability of a cloud system- resolving model to reproduce
Representing Topological Relationships between Complex Regions by F-Histograms
Matsakis, Pascal
Representing Topological Relationships between Complex Regions by F-Histograms Lukasz Wawrzyniak between two regions in terms of the thirteen Allen relations. An index to measure the complexity Work in the modeling of topological relationships often relies on an extension into the spatial domain
Appointment of Contracting Officers and Contracting Officer's Representatives
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2000-10-27T23:59:59.000Z
To establish procedures governing the selection, appointment, and termination of contracting officers and for the appointment of contracting officer's representatives. To ensure that only trained and qualified procurement and financial assistance professionals, within the scope of this Order, serve as contracting officers. Cancels DOE O 541.1. Canceled by DOE O 541.1B.
US House of Representatives Appropriation Committee Report May 18, 2005
US House of Representatives Appropriation Committee Report May 18, 2005 Fusion Energy Sciences The Committee recommendation for fusion energy sciences is $295,155,000, an increase of $5,605,000 over that two-thirds of the proposed increase for the International Thermonuclear Experimental Reactor (ITER
Representing Abductive Practical Reasoning as an Action-Based
Atkinson, Katie
Representing Abductive Practical Reasoning as an Action-Based Alternating Transition System Floris present an approach to abductive reasoning by examin- ing it in the context of an argumentation scheme to rea- son abductively about how an agent might have acted to find itself in a particular sceanrio
Representative Seroprevalences of Brucellosis in Humans and Livestock in Kyrgyzstan
Richner, Heinz
Representative Seroprevalences of Brucellosis in Humans and Livestock in Kyrgyzstan Bassirou Bonfoh), 60 Togolok Moldo Street, Bishkek, Kyrgyzstan 3 Veterinary Public Health Institute, Vetsuisse Faculty, Swiss Red Cross, 187/1 Sydykova Street, Bishkek, Kyrgyzstan 5 Swiss Tropical and Public Health Institute
Lattices which can be represented as lattices of intervals
Vaggelis Felouzis
2006-09-04T23:59:59.000Z
We investigate lattices that can be represented as sublattices of the lattice of all convex subsets of a linearly ordered set $(X, \\leq)$ and as lattices of convex subsets of $(X, \\leq)$. A representation theory for general lattices is presented and also some applications in general topology are given.
REPRESENTING GEO-SCIENTIFIC DOMAIN CONCEPTS Boyan Brodaric
Bennett, Brandon
1 REPRESENTING GEO-SCIENTIFIC DOMAIN CONCEPTS Boyan Brodaric Penn State Geography and Geological Survey of Canada brodaric@NRCan.gc.ca 1. Introduction The geo-sciences, including geology, ecology, soil accumulate and change, and (3) are characterized by degrees of uncertainty and granularity. This suggests
Necessary and sufficient conditions for representing general distributions by Coxians
Necessary and sufficient conditions for representing general distributions by Coxians Takayuki University Pittsburgh, PA 15213 Abstract A common analytical technique involves using a Coxian distribution to model a general distribution G, where the Coxian distribution agrees with G on the first three moments
Necessary and sufficient conditions for representing general distributions by Coxians
Necessary and sufficient conditions for representing general distributions by Coxians Takayuki University Pittsburgh, PA 15213 Abstract A common analytical technique involves using a Coxian distribution to model a general distribution ¢ , where the Coxian distribution agrees with ¢ on the first three moments
Necessary and Sucient Conditions for Representing General Distributions by Coxians
Harchol-Balter, Mor
Necessary and SuÆcient Conditions for Representing General Distributions by Coxians Takayuki involves using a Coxian dis- tribution to model a general distribution G, where the Coxian distribu- tion of the Coxian distribution. Algo- rithms for mapping an input distribution G to a Coxian distribution largely
Representing Exceptional Behaviour at the earlier Phases of Software Development
Kent, University of
Representing Exceptional Behaviour at the earlier Phases of Software Development Rogério de Lemos. Exception handling has been traditionally associated with the design phase of the software lifecycle, during not received enough attention /Avizienes 97/. Ideally, for each identified phase of the software lifecycle
Melanoma Recognition Using Representative and Discriminative Kernel Classifiers
Caputo, Barbara
Melanoma Recognition Using Representative and Discriminative Kernel Classifiers Tatiana Tommasi1 caputo@nada.kth.se Abstract. Malignant melanoma is the most deadly form of skin lesion. Early diagnosis these algorithms against the (to our knowledge) state-of-the-art method on melanoma recognition, exploring how
DATE: December 11, 2013 MEMO TO: Curricular Representative
Wisconsin at Madison, University of
Instruction Modes List: This report lists sections with an Instruction Mode not set to `P' in ISIS. Â· Meets Attendance List: This report lists sections coded in ISIS as optional. Â· Curricular Representative List can be run in ISIS, and displays real-time curricular data for auditing. In ISIS: Reporting Tools
INTRODUCTION The mammalian hair follicle is a representative but highly
Chuong, Cheng-Ming
INTRODUCTION The mammalian hair follicle is a representative but highly complex epithelial organ, hair follicle induction requires complex signaling between the two apposing tissue layers, which to the formation of the hair follicle, which contain the dermal papilla, proliferating matrix cells and slowly
Evangelos Chaliasos
2006-11-12T23:59:59.000Z
As we know, from the Einstein equations the vanishing of the four-divergence of the energy-momentum tensor follows. This is the case because the four-divergence of the Einstein tensor vanishes identically. Inversely, we find that from the vanishing of the four-divergence of the energy-momentum tensor not only the Einstein equations follow. Besides, the so-named anti-Einstein equations follow. These equations must be considered as complementary to the Einstein equations. And while from the Einstein equations the energy density (or the pressure) can be found, from the anti-Einstein equations the pressure (or the energy density) can be also found, without having to use an additional (but arbitrary) equation of state.
Noncommutativity and the Friedmann Equations
Sabido, M.; Socorro, J. [Physics Department of the Division of Science and Engineering of the University of Guanajuato, Campus Leon P.O. Box E-143, 37150 Leon Gto. (Mexico); Guzman, W. [Instituto de Fisica, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21945-970, Rio de Janeiro (Brazil)
2010-07-12T23:59:59.000Z
In this paper we study noncommutative scalar field cosmology, we find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation, interestingly the noncommutative contributions are only present up to second order in the noncommutitive parameter.
Syllabus for “Ordinary Differential Equations”
Alan Demlow
2015-01-12T23:59:59.000Z
Syllabus for MA266, Ordinary Differential Equations. (Sections 052 & 091). GENERAL INFORMATION. Course instructor and contact information: Instructor: Dr.
Chapter Two Model Equations and
Xue, Ming
after Miller and White (1984). Equations (1.2.30), (1.2.31), (1.2.33), (1.2.34), (1.2.38), and (1. They are the equation for y-velocity v, and the equations for the conservation of water vapour, cloud water and rain humidity of water vapour, cloud water and rain water respectively. The momentum equations (2.1.1) to (2
Assignment II Saha & Boltzmann equations
Spoon, Henrik
Assignment II Saha & Boltzmann equations January 21, 2002 This assignment is meant to give you some practical experience in using the Saha and Boltzmann equations that govern the level populations in atoms;s =kT the partition function of ionization stage r. The Saha equation: N r+1 N r = 2U r+1 U r P e #18
Numerical solution of plasma fluid equations using locally refined grids
Colella, P., LLNL
1997-01-26T23:59:59.000Z
This paper describes a numerical method for the solution of plasma fluid equations on block-structured, locally refined grids. The plasma under consideration is typical of those used for the processing of semiconductors. The governing equations consist of a drift-diffusion model of the electrons and an isothermal model of the ions coupled by Poisson's equation. A discretization of the equations is given for a uniform spatial grid, and a time-split integration scheme is developed. The algorithm is then extended to accommodate locally refined grids. This extension involves the advancement of the discrete system on a hierarchy of levels, each of which represents a degree of refinement, together with synchronization steps to ensure consistency across levels. A brief discussion of a software implementation is followed by a presentation of numerical results.
Are the TRACE-P measurements representative of the western Pacific during March 2001?
2004-01-01T23:59:59.000Z
TRACE-P measurements representative of the western PacificTHE TRACE- P MEASUREMENTS REPRESENTATIVE? Pierce, R. B. , etTRACE-P measurements representative of the western Pacific
Liu, Haichen; Mao, Xianglei; Russo, Richard E.
2001-01-01T23:59:59.000Z
U also achieved a representative value at high irradiance.Representative sampling using single-pulse laser ablationvalue close to the representative level. Segregation during
Do women represent women? : gender and policy in Argentina and Mexico
Piscopo, Jennifer M.
2011-01-01T23:59:59.000Z
Differences in the Representative and Policymakingaction law and their own representative mandate. Interview,States House of Representatives. ? Policy Studies Journal
Kaufman, Aaron
2013-01-01T23:59:59.000Z
information about the representative's position on theHelp Voters Hold Representatives Accountable? ” Aaronlearn the positions their representatives take on key issue.
Constantine, Norman A.; Jerman, Petra
2007-01-01T23:59:59.000Z
parents of daughters: A representative statewide analysis.Parents of Daughters: A Representative Statewide AnalysisResistance, But Still Representative. Available at: http://
Voter competency, information, and campaign effects in representative and direct democracy
Burnett, Craig Michael
2010-01-01T23:59:59.000Z
and Campaign Effects in Representative and Direct Democracyand Campaign Effects in Representative and Direct Democracyand make decisions in representative and direct democracy.
China’s Military Representatives: Striving Toward Professional Contracting and Procurement
Puska, Susan M; McReynolds, Joe; Geary, Debra
2011-01-01T23:59:59.000Z
di- rection. Military representative reform could raise2011 China’s Military Representatives: Striving Towardreforms is the Military Representative Office (MRO) system
Jerman, Petra; Constantine, Norman A.
2010-01-01T23:59:59.000Z
here are not precisely representative of the full populationCommunication About Sex: A Representative Statewide Analysismore studies with representative samples are needed to
Natale, Michael J.
the smaller cloaked vessel before she had a chance to de-cloak and fire, the Enterprise had virtually disabled the scoutship. Now, the innocent people on Omnicron I could at least get a break from the barrage of disrupter fire from orbit, and the Enterprise... into destroying the Klingon vessel. But, if they were going to threaten innocents on Omnicron I, then the Enterprise could play the role of executioner adequately. "Mr. Sulu, fire main phasers!" "Locking phasers.....firing, sir!" The Human Equation Page...
Representing cognitive activities and errors in HRA trees
Gertman, D.I.
1992-01-01T23:59:59.000Z
A graphic representation method is presented herein for adapting an existing technology--human reliability analysis (HRA) event trees, used to support event sequence logic structures and calculations--to include a representation of the underlying cognitive activity and corresponding errors associated with human performance. The analyst is presented with three potential means of representing human activity: the NUREG/CR-1278 HRA event tree approach; the skill-, rule- and knowledge-based paradigm; and the slips, lapses, and mistakes paradigm. The above approaches for representing human activity are integrated in order to produce an enriched HRA event tree -- the cognitive event tree system (COGENT)-- which, in turn, can be used to increase the analyst's understanding of the basic behavioral mechanisms underlying human error and the representation of that error in probabilistic risk assessment. Issues pertaining to the implementation of COGENT are also discussed.
Representing cognitive activities and errors in HRA trees
Gertman, D.I.
1992-05-01T23:59:59.000Z
A graphic representation method is presented herein for adapting an existing technology--human reliability analysis (HRA) event trees, used to support event sequence logic structures and calculations--to include a representation of the underlying cognitive activity and corresponding errors associated with human performance. The analyst is presented with three potential means of representing human activity: the NUREG/CR-1278 HRA event tree approach; the skill-, rule- and knowledge-based paradigm; and the slips, lapses, and mistakes paradigm. The above approaches for representing human activity are integrated in order to produce an enriched HRA event tree -- the cognitive event tree system (COGENT)-- which, in turn, can be used to increase the analyst`s understanding of the basic behavioral mechanisms underlying human error and the representation of that error in probabilistic risk assessment. Issues pertaining to the implementation of COGENT are also discussed.
Representing the Semantics of Geographic Information in Ontologies
Ou, Yang
2007-08-15T23:59:59.000Z
the semantics. This paper describes how to utilise ontologies to capture the semantics of geographic information and further presents a way to represent and store spatial data in a knowledge base within an ontology. By representing geographic information...Interoperability is a key concern in the field of Geographic Information Sciences for the sharing of geographic information and the integration of geospatial processes. Web service technology is a mainstream approach to distribute GIS functionality in the Web environment and provide syntactic interoperability for different processes, and ontologies have been considered as a significant technique to achieve interoperability on the semantic level. This paper describes how the mainstream Web technologies can be applied for interoperability of geospatial processes and implements the methodology with a use case of specific processes....
Processes, data structures, and apparatuses for representing knowledge
Hohimer, Ryan E. (West Richland, WA); Thomson, Judi R. (Guelph, CA); Harvey, William J. (Richland, WA); Paulson, Patrick R. (Pasco, WA); Whiting, Mark A. (Richland, WA); Tratz, Stephen C. (Richland, WA); Chappell, Alan R. (Seattle, WA); Butner, R. Scott (Richland, WA)
2011-09-20T23:59:59.000Z
Processes, data structures, and apparatuses to represent knowledge are disclosed. The processes can comprise labeling elements in a knowledge signature according to concepts in an ontology and populating the elements with confidence values. The data structures can comprise knowledge signatures stored on computer-readable media. The knowledge signatures comprise a matrix structure having elements labeled according to concepts in an ontology, wherein the value of the element represents a confidence that the concept is present in an information space. The apparatus can comprise a knowledge representation unit having at least one ontology stored on a computer-readable medium, at least one data-receiving device, and a processor configured to generate knowledge signatures by comparing datasets obtained by the data-receiving devices to the ontologies.
A Master Equation Approach to the `3 + 1' Dirac Equation
Keith A. Earle
2011-02-06T23:59:59.000Z
A derivation of the Dirac equation in `3+1' dimensions is presented based on a master equation approach originally developed for the `1+1' problem by McKeon and Ord. The method of derivation presented here suggests a mechanism by which the work of Knuth and Bahrenyi on causal sets may be extended to a derivation of the Dirac equation in the context of an inference problem.
Illite Dissolution Rates and Equation (100 to 280 dec C)
Carroll, Susan
2014-10-17T23:59:59.000Z
The objective of this suite of experiments was to develop a useful kinetic dissolution expression for illite applicable over an expanded range of solution pH and temperature conditions representative of subsurface conditions in natural and/or engineered geothermal reservoirs. Using our new data, the resulting rate equation is dependent on both pH and temperature and utilizes two specific dissolution mechanisms (a “neutral” and a “basic” mechanism). The form of this rate equation should be easily incorporated into most existing reactive transport codes for to predict rock-water interactions in EGS shear zones.
Thermodynamically constrained correction to ab initio equations of state
French, Martin; Mattsson, Thomas R. [HEDP Theory, Sandia National Laboratories, Albuquerque, New Mexico 87185-1189 (United States)
2014-07-07T23:59:59.000Z
We show how equations of state generated by density functional theory methods can be augmented to match experimental data without distorting the correct behavior in the high- and low-density limits. The technique is thermodynamically consistent and relies on knowledge of the density and bulk modulus at a reference state and an estimation of the critical density of the liquid phase. We apply the method to four materials representing different classes of solids: carbon, molybdenum, lithium, and lithium fluoride. It is demonstrated that the corrected equations of state for both the liquid and solid phases show a significantly reduced dependence of the exchange-correlation functional used.
Illite Dissolution Rates and Equation (100 to 280 dec C)
DOE Data Explorer [Office of Scientific and Technical Information (OSTI)]
Carroll, Susan
The objective of this suite of experiments was to develop a useful kinetic dissolution expression for illite applicable over an expanded range of solution pH and temperature conditions representative of subsurface conditions in natural and/or engineered geothermal reservoirs. Using our new data, the resulting rate equation is dependent on both pH and temperature and utilizes two specific dissolution mechanisms (a “neutral” and a “basic” mechanism). The form of this rate equation should be easily incorporated into most existing reactive transport codes for to predict rock-water interactions in EGS shear zones.
Martin Frimmer; Lukas Novotny
2014-09-26T23:59:59.000Z
Coherent control of a quantum mechanical two-level system is at the heart of magnetic resonance imaging, quantum information processing, and quantum optics. Among the most prominent phenomena in quantum coherent control are Rabi oscillations, Ramsey fringes and Hahn echoes. We demonstrate that these phenomena can be derived classically by use of a simple coupled harmonic oscillator model. The classical problem can be cast in a form that is formally equivalent to the quantum mechanical Bloch equations with the exception that the longitudinal and the transverse relaxation times ($T_1$ and $T_2$) are equal. The classical analysis is intuitive and well suited for familiarizing students with the basic concepts of quantum coherent control, while at the same time highlighting the fundamental differences between classical and quantum theories.
Defining And Characterizing Sample Representativeness For DWPF Melter Feed Samples
Shine, E. P.; Poirier, M. R.
2013-10-29T23:59:59.000Z
Representative sampling is important throughout the Defense Waste Processing Facility (DWPF) process, and the demonstrated success of the DWPF process to achieve glass product quality over the past two decades is a direct result of the quality of information obtained from the process. The objective of this report was to present sampling methods that the Savannah River Site (SRS) used to qualify waste being dispositioned at the DWPF. The goal was to emphasize the methodology, not a list of outcomes from those studies. This methodology includes proven methods for taking representative samples, the use of controlled analytical methods, and data interpretation and reporting that considers the uncertainty of all error sources. Numerous sampling studies were conducted during the development of the DWPF process and still continue to be performed in order to evaluate options for process improvement. Study designs were based on use of statistical tools applicable to the determination of uncertainties associated with the data needs. Successful designs are apt to be repeated, so this report chose only to include prototypic case studies that typify the characteristics of frequently used designs. Case studies have been presented for studying in-tank homogeneity, evaluating the suitability of sampler systems, determining factors that affect mixing and sampling, comparing the final waste glass product chemical composition and durability to that of the glass pour stream sample and other samples from process vessels, and assessing the uniformity of the chemical composition in the waste glass product. Many of these studies efficiently addressed more than one of these areas of concern associated with demonstrating sample representativeness and provide examples of statistical tools in use for DWPF. The time when many of these designs were implemented was in an age when the sampling ideas of Pierre Gy were not as widespread as they are today. Nonetheless, the engineers and statisticians used carefully thought out designs that systematically and economically provided plans for data collection from the DWPF process. Key shared features of the sampling designs used at DWPF and the Gy sampling methodology were the specification of a standard for sample representativeness, an investigation that produced data from the process to study the sampling function, and a decision framework used to assess whether the specification was met based on the data. Without going into detail with regard to the seven errors identified by Pierre Gy, as excellent summaries are readily available such as Pitard [1989] and Smith [2001], SRS engineers understood, for example, that samplers can be biased (Gy?s extraction error), and developed plans to mitigate those biases. Experiments that compared installed samplers with more representative samples obtained directly from the tank may not have resulted in systematically partitioning sampling errors into the now well-known error categories of Gy, but did provide overall information on the suitability of sampling systems. Most of the designs in this report are related to the DWPF vessels, not the large SRS Tank Farm tanks. Samples from the DWPF Slurry Mix Evaporator (SME), which contains the feed to the DWPF melter, are characterized using standardized analytical methods with known uncertainty. The analytical error is combined with the established error from sampling and processing in DWPF to determine the melter feed composition. This composition is used with the known uncertainty of the models in the Product Composition Control System (PCCS) to ensure that the wasteform that is produced is comfortably within the acceptable processing and product performance region. Having the advantage of many years of processing that meets the waste glass product acceptance criteria, the DWPF process has provided a considerable amount of data about itself in addition to the data from many special studies. Demonstrating representative sampling directly from the large Tank Farm tanks is a difficult, if not unsolvable enterprise due to li
Facility Representative of the Year Award | Department of Energy
Office of Energy Efficiency and Renewable Energy (EERE) 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 DataDepartment of Energy Your Density Isn't YourTransport in RepresentativeDepartment of Energy Score Maturity Value TargetFacility
Energy Conservation Equations of Motion
Vinokurov, Nikolay A
2015-01-01T23:59:59.000Z
A conventional derivation of motion equations in mechanics and field equations in field theory is based on the principle of least action with a proper Lagrangian. With a time-independent Lagrangian, a function of coordinates and velocities that is called energy is constant. This paper presents an alternative approach, namely derivation of a general form of equations of motion that keep the system energy, expressed as a function of generalized coordinates and corresponding velocities, constant. These are Lagrange equations with addition of gyroscopic forces. The important fact, that the energy is defined as the function on the tangent bundle of configuration manifold, is used explicitly for the derivation. The Lagrangian is derived from a known energy function. A development of generalized Hamilton and Lagrange equations without the use of variational principles is proposed. The use of new technique is applied to derivation of some equations.
S. C. Tiwari
2007-06-09T23:59:59.000Z
A generalized harmonic map equation is presented based on the proposed action functional in the Weyl space (PLA, 135, 315, 1989).
1-D Dirac Equation, Klein Paradox and Graphene
S. P. Bowen
2008-07-23T23:59:59.000Z
Solutions of the one dimensional Dirac equation with piece-wise constant potentials are presented using standard methods. These solutions show that the Klein Paradox is non-existent and represents a failure to correctly match solutions across a step potential. Consequences of this exact solution are studied for the step potential and a square barrier. Characteristics of massless Dirac states and the momentum linear band energies for Graphene are shown to have quite different current and momentum properties.
The Korarchaeota: Archaeal orphans representing an ancestral lineage of life
Elkins, James G.; Kunin, Victor; Anderson, Iain; Barry, Kerrie; Goltsman, Eugene; Lapidus, Alla; Hedlund, Brian; Hugenholtz, Phil; Kyrpides, Nikos; Graham, David; Keller, Martin; Wanner, Gerhard; Richardson, Paul; Stetter, Karl O.
2007-05-01T23:59:59.000Z
Based on conserved cellular properties, all life on Earth can be grouped into different phyla which belong to the primary domains Bacteria, Archaea, and Eukarya. However, tracing back their evolutionary relationships has been impeded by horizontal gene transfer and gene loss. Within the Archaea, the kingdoms Crenarchaeota and Euryarchaeota exhibit a profound divergence. In order to elucidate the evolution of these two major kingdoms, representatives of more deeply diverged lineages would be required. Based on their environmental small subunit ribosomal (ss RNA) sequences, the Korarchaeota had been originally suggested to have an ancestral relationship to all known Archaea although this assessment has been refuted. Here we describe the cultivation and initial characterization of the first member of the Korarchaeota, highly unusual, ultrathin filamentous cells about 0.16 {micro}m in diameter. A complete genome sequence obtained from enrichment cultures revealed an unprecedented combination of signature genes which were thought to be characteristic of either the Crenarchaeota, Euryarchaeota, or Eukarya. Cell division appears to be mediated through a FtsZ-dependent mechanism which is highly conserved throughout the Bacteria and Euryarchaeota. An rpb8 subunit of the DNA-dependent RNA polymerase was identified which is absent from other Archaea and has been described as a eukaryotic signature gene. In addition, the representative organism possesses a ribosome structure typical for members of the Crenarchaeota. Based on its gene complement, this lineage likely diverged near the separation of the two major kingdoms of Archaea. Further investigations of these unique organisms may shed additional light onto the evolution of extant life.
Effective equations for quantum dynamics
Benjamin Schlein
2012-08-01T23:59:59.000Z
We report on recent results concerning the derivation of effective evolution equations starting from many body quantum dynamics. In particular, we obtain rigorous derivations of nonlinear Hartree equations in the bosonic mean field limit, with precise bounds on the rate of convergence. Moreover, we present a central limit theorem for the fluctuations around the Hartree dynamics.
Media with no Fresnel equation
Peinke, Joachim
Media with no Fresnel equation Alberto Favaro & Ismo V. Lindell Outline Part 1: Local linear media Part 2: Jump conditions Part 3: media with no G(q) Conclusions Electromagnetic media with no Fresnel with no Fresnel equation Alberto Favaro & Ismo V. Lindell Outline Part 1: Local linear media Part 2: Jump
Simulating a Nationally Representative Housing Sample Using EnergyPlus
Hopkins, Asa S.; Lekov, Alex; Lutz, James; Rosenquist, Gregory; Gu, Lixing
2011-03-04T23:59:59.000Z
This report presents a new simulation tool under development at Lawrence Berkeley National Laboratory (LBNL). This tool uses EnergyPlus to simulate each single-family home in the Residential Energy Consumption Survey (RECS), and generates a calibrated, nationally representative set of simulated homes whose energy use is statistically indistinguishable from the energy use of the single-family homes in the RECS sample. This research builds upon earlier work by Ritchard et al. for the Gas Research Institute and Huang et al. for LBNL. A representative national sample allows us to evaluate the variance in energy use between individual homes, regions, or other subsamples; using this tool, we can also evaluate how that variance affects the impacts of potential policies. The RECS contains information regarding the construction and location of each sampled home, as well as its appliances and other energy-using equipment. We combined this data with the home simulation prototypes developed by Huang et al. to simulate homes that match the RECS sample wherever possible. Where data was not available, we used distributions, calibrated using the RECS energy use data. Each home was assigned a best-fit location for the purposes of weather and some construction characteristics. RECS provides some detail on the type and age of heating, ventilation, and air-conditioning (HVAC) equipment in each home; we developed EnergyPlus models capable of reproducing the variety of technologies and efficiencies represented in the national sample. This includes electric, gas, and oil furnaces, central and window air conditioners, central heat pumps, and baseboard heaters. We also developed a model of duct system performance, based on in-home measurements, and integrated this with fan performance to capture the energy use of single- and variable-speed furnace fans, as well as the interaction of duct and fan performance with the efficiency of heating and cooling equipment. Comparison with RECS revealed that EnergyPlus did not capture the heating-side behavior of heat pumps particularly accurately, and that our simple oil furnace and boiler models needed significant recalibration to fit with RECS. Simulating the full RECS sample on a single computer would take many hours, so we used the 'cloud computing' services provided by Amazon.com to simulate dozens of homes at once. This enabled us to simulate the full RECS sample, including multiple versions of each home to evaluate the impact of marginal changes, in less than 3 hours. Once the tool was calibrated, we were able to address several policy questions. We made a simple measurement of the heat replacement effect and showed that the net effect of heat replacement on primary energy use is likely to be less than 5%, relative to appliance-only measures of energy savings. Fuel switching could be significant, however. We also evaluated the national and regional impacts of a variety of 'overnight' changes in building characteristics or occupant behavior, including lighting, home insulation and sealing, HVAC system efficiency, and thermostat settings. For example, our model shows that the combination of increased home insulation and better sealed building shells could reduce residential natural gas use by 34.5% and electricity use by 6.5%, and a 1 degree rise in summer thermostat settings could save 2.1% of home electricity use. These results vary by region, and we present results for each U.S. Census division. We conclude by offering proposals for future work to improve the tool. Some proposed future work includes: comparing the simulated energy use data with the monthly RECS bill data; better capturing the variation in behavior between households, especially as it relates to occupancy and schedules; improving the characterization of recent construction and its regional variation; and extending the general framework of this simulation tool to capture multifamily housing units, such as apartment buildings.
Wen, Leana S.; Espinola, Janice A.; Kosowsky, Joshua M.; Camargo Jr, Carlos A.
2015-01-01T23:59:59.000Z
Diagnosis? A Nationally-Representative Sample Leana S. Wen,of a nationally-representative database of ED visits, manysubset of a nationally-representative database of ED visits
Representing the influence of subgrid topography on hydrology
Leung, L.R.; Ghan, S.J.
1993-10-01T23:59:59.000Z
Estimates of the impact of global climate change on land surface hydrology require climate information on scales far smaller than those explicitly resolved by global climate models of today and the foreseeable future. To bridge the gap between what is required and what is resolved, we propose a subgrid-scale parameterization of the influence of topography on clouds, precipitation, and land surface hydrology. The parameterization represents subgrid variations in surface elevation in terms of discrete elevation classes. Separate cloud and surface processes are calculated for each elevation class. The simulated surface temperature, precipitation, snowpack, and soil moisture for each elevation class can then be distributed according to the spatial distribution of surface elevation within each grid cell. The scheme is being applied to the Pacific Northwest Laboratory`s climate version of the Penn State/NCAR Mesoscale Model. Validation is being addressed by driving the model with observed lateral boundary conditions for the Pacific Northwest and comparing with surface observations. Preliminary results from the simulation will be presented.
Fluctuations, Correlation and Representative Elementary Volume (REV) in Granular Materials
P. Evesque
2005-06-15T23:59:59.000Z
In general, the mechanics of granular matter is described using continuum mechanics approach; this requires to introduce the concepts of stress and strain, which are averaged quantities, so that this needs also to introduce the notion of representative elementary volume (REV) above which averaged quantities have some physical meaning. As local quantities fluctuate spatially in granular matter; a local measure of stress and strain shall exhibit fluctuations too, whose typical amplitude depends on the sampling size L. This paper discusses this problem and the causes for large scale correlation. The mean stress s applied to a plane surface of size L*L is calculated and its fluctuation amplitude Ds is found when local forces are not correlated; it is found that Ds/s scales as 1/L . It is shown also that large scale fluctuations of stress can always be interpreted as an inhomogeneous stress field and that static equilibrium modifies the mean stress applied to a rod (in 2d), even if it does not perturb the contact force distribution. This last result is compared to experiment, which indicates that the number N of contacts per rod (in 2d) is 2
A representative sample of Be stars III: H band spectroscopy
I. A. Steele; J. S. Clark
2001-03-16T23:59:59.000Z
We present H band (1.53 - 1.69 micron) spectra of 57 isolated Be stars of spectral types O9-B9 and luminosity classes III,IV & V. The HI Brackett (n-4) series is seen in emission from Br 11-18, and FeII emission is also apparent for a subset of those stars with HI emission. No emission from species with a higher excitation temperature, such as He II or CIII is seen, and no forbidden line emission is present. A subset of 12 stars show no evidence for emission from any species; these stars appear indistinguishable from normal B stars of a comparable spectral type. In general the line ratios constructed from the transitions in the range Br 11-18 do not fit case B recombination theory particularly well. Strong correlations between the line ratios with Br-gamma and spectral type are found. These results most likely represent systematic variations in the temperature and ionization of the circumstellar disc with spectral type. Weak correlations between the line widths and projected rotational velocity of the stars are observed; however no systematic trend for increasing line width through the Brackett series is observed.
Examination of representative drum from 618-9 Burial Ground
Duncan, D.R. [Westinghouse Hanford Co., Richland, WA (United States); Bunnell, L.R. [Pacific Northwest Lab., Richland, WA (United States)
1992-10-01T23:59:59.000Z
The work described in this report was conducted in pursuance of Task E of the Pacific Northwest Laboratory Solid Waste Technology Support Program for Westinghouse Hanford Company. Task E calls for a determination of the corrosion rate of low-carbon steels under typical Hanford Site conditions. To meet this objective, Pacific Northwest Laboratory examined one intact drum that was judged to be representative of the largely intact drums excavated at the 618-9 Burial Ground located west of the 300 Area at the Hanford Site. Six samples were examined to characterize the drum, its composition, and its corrosion and corrosion products. The drum, which was found empty, was constructed of low-carbon steel. Its surface appeared relatively sound. The drum metal varied in thickness, but the minimum thickness in the samples was near 0.020 in. The corrosion corresponds to approximately 25 to 35 mils of metal loss, roughly a 1 mil/yr corrosion rate. Corrosion products were goethite and maghymite, expected products of iron buried in soil. Apparently, the drum leaked some time ago, but the cause of the leakage is unknown because records of the drums and their burial are limited. The drum was empty when found, and it is possible that it could have failed by pitting rather than by general corrosion. A pitting rate of about 3.5 mils/yr would have caused loss of drum integrity in the time since burial.
1 Ma 15200 Lesson 18 Section 1.7 I Representing an Inequality ...
charlotb
2011-02-22T23:59:59.000Z
1. Ma 15200 Lesson 18 Section 1.7. I. Representing an Inequality. There are 3 ways to represent an inequality. (1) Using the inequality symbol (sometime.
1 Ma 15200 Lesson 18 Section 1.7 I Representing an Inequality ...
charlotb
2010-10-04T23:59:59.000Z
1. Ma 15200 Lesson 18 Section 1.7. I. Representing an Inequality. There are 3 ways to represent an inequality. (1) Using the inequality symbol (sometime.
Representing Cloud Processing of Aerosol in Numerical Models
Mechem, D.B.; Kogan, Y.L.
2005-03-18T23:59:59.000Z
The satellite imagery in Figure 1 provides dramatic examples of how aerosol influences the cloud field. Aerosol from ship exhaust can serve as nucleation centers in otherwise cloud-free regions, forming ship tracks (top image), or can enhance the reflectance/albedo in already cloudy regions. This image is a demonstration of the first indirect effect, in which changes in aerosol modulate cloud droplet radius and concentration, which influences albedo. It is thought that, through the effects it has on precipitation (drizzle), aerosol can also affect the structure and persistence of planetary boundary layer (PBL) clouds. Regions of cellular convection, or open pockets of cloudiness (bottom image) are thought to be remnants of strongly drizzling PBL clouds. Pockets of Open Cloudiness (POCs) (Stevens et al. 2005) or Albrecht's ''rifts'' are low cloud fraction regions characterized by anomalously low aerosol concentrations, implying they result from precipitation. These features may in fact be a demonstration of the second indirect effect. To accurately represent these clouds in numerical models, we have to treat the coupled cloud-aerosol system. We present the following series of mesoscale and large eddy simulation (LES) experiments to evaluate the important aspects of treating the coupled cloud-aerosol problem. 1. Drizzling and nondrizzling simulations demonstrate the effect of drizzle on a mesoscale forecast off the California coast. 2. LES experiments with explicit (bin) microphysics gauge the relative importance of the shape of the aerosol spectrum on the 3D dynamics and cloud structure. 3. Idealized mesoscale model simulations evaluate the relative roles of various processes, sources, and sinks.
Optimal control, parabolic equations, st
2008-12-22T23:59:59.000Z
In this paper we study the optimal control problem of the heat equation by a distributed control over a subset of the domain, in the presence of a state constraint.
Partial Differential Equations of Physics
Robert Geroch
1996-02-27T23:59:59.000Z
Apparently, all partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. In this paper, we do two things. First, we describe some broad features of systems of differential equations so formulated. Examples of such features include hyperbolicity of the equations, constraints and their roles (e.g., in connection with the initial-value formulation), how diffeomorphism freedom is manifest, and how interactions between systems arise and operate. Second, we give a number of examples that illustrate how the equations for physical systems are cast into this form. These examples suggest that the first-order, quasilinear form for a system is often not only the simplest mathematically, but also the most transparent physically.
Representation and Superposition of Discrete Functions and Equations with Parameterized Operations
Wu Zi Qian
2010-07-27T23:59:59.000Z
Existence results for Hilbert's problem 13th mean that any equation constructed by continue functions can be given solution represented as a superposition of continue functions of one variable or of continue functions of two variables. Constructive results for discrete functions are given in this paper that any equation constructed by functions called discrete 3 function for which field of definition is a set containing only -1,0,1 can be given solution represented as a superposition of discrete 3 functions of one variable or of two variables. Formula solution for equation with parameterized operations can be given after introducing four special operators being correspondence among known operations and new operations. These results can be extended to discrete operators and operator equations constructed by them.
Chapter Two Model Equations and
Xue, Ming
was established after Miller and White (1984). Equations (1.2.30), (1.2.31), (1.2.33), (1.2.34), (1.2.38), and (1, and the equations for the conservation of water vapour, cloud water and rain water. Ice phase is not included in our model at the moment. Variables q v , q c and q r are the specific humidity of water vapour, cloud water
How accurate is Limber's equation?
P. Simon
2007-08-24T23:59:59.000Z
The so-called Limber equation is widely used in the literature to relate the projected angular clustering of galaxies to the spatial clustering of galaxies in an approximate way. This paper gives estimates of where the regime of applicability of Limber's equation stops. Limber's equation is accurate for small galaxy separations but breaks down beyond a certain separation that depends mainly on the ratio sigma/R and to some degree on the power-law index, gamma, of spatial clustering xi; sigma is the one-sigma width of the galaxy distribution in comoving distance, and R the mean comoving distance. As rule-of-thumb, a 10% relative error is reached at 260 sigma/R arcmin for gamma~1.6, if the spatial clustering is a power-law. More realistic xi are discussed in the paper. Limber's equation becomes increasingly inaccurate for larger angular separations. Ignoring this effect and blindly applying Limber's equation can possibly bias results for the inferred spatial correlation. It is suggested to use in cases of doubt, or maybe even in general, the exact equation that can easily be integrated numerically in the form given in the paper.
E. V. Shiryaeva; M. Yu. Zhukov
2014-10-17T23:59:59.000Z
The paper presents the solutions for the zonal electrophoresis equations are obtained by analytical and numerical methods. The method proposed by the authors is used. This method allows to reduce the Cauchy problem for two hyperbolic quasilinear PDE's to the Cauchy problem for ODE's. In some respect, this method is analogous to the method of characteristics for two hyperbolic equations. The method is effectively applicable in all cases when the explicit expression for the Riemann-Green function of some linear second order PDE, resulting from the use of the hodograph method for the original equations, is known. One of the method advantages is the possibility of constructing a multi-valued solutions. Compared with the previous authors paper, in which, in particular, the shallow water equations are studied, here we investigate the case when the Riemann-Green function can be represent as the sum of the terms each of them is a product of two multipliers depended on different variables. The numerical results for zonal electrophoresis equations are presented. For computing the different initial data (periodic, wave packet, the Gaussian distribution) are used.
SOLVING SYSTEMS OF NONLINEAR EQUATIONS WITH ...
2006-11-02T23:59:59.000Z
Nov 2, 2006 ... A method for finding all roots of a system of nonlinear equations is described ... Nonlinear systems of equations, global optimization, continuous ...
Examination of Hydrate Formation Methods: Trying to Create Representative Samples
Kneafsey, T.J.; Rees, E.V.L.; Nakagawa, S.; Kwon, T.-H.
2011-04-01T23:59:59.000Z
Forming representative gas hydrate-bearing laboratory samples is important so that the properties of these materials may be measured, while controlling the composition and other variables. Natural samples are rare, and have often experienced pressure and temperature changes that may affect the property to be measured [Waite et al., 2008]. Forming methane hydrate samples in the laboratory has been done a number of ways, each having advantages and disadvantages. The ice-to-hydrate method [Stern et al., 1996], contacts melting ice with methane at the appropriate pressure to form hydrate. The hydrate can then be crushed and mixed with mineral grains under controlled conditions, and then compacted to create laboratory samples of methane hydrate in a mineral medium. The hydrate in these samples will be part of the load-bearing frame of the medium. In the excess gas method [Handa and Stupin, 1992], water is distributed throughout a mineral medium (e.g. packed moist sand, drained sand, moistened silica gel, other porous media) and the mixture is brought to hydrate-stable conditions (chilled and pressurized with gas), allowing hydrate to form. This method typically produces grain-cementing hydrate from pendular water in sand [Waite et al., 2004]. In the dissolved gas method [Tohidi et al., 2002], water with sufficient dissolved guest molecules is brought to hydrate-stable conditions where hydrate forms. In the laboratory, this is can be done by pre-dissolving the gas of interest in water and then introducing it to the sample under the appropriate conditions. With this method, it is easier to form hydrate from more soluble gases such as carbon dioxide. It is thought that this method more closely simulates the way most natural gas hydrate has formed. Laboratory implementation, however, is difficult, and sample formation is prohibitively time consuming [Minagawa et al., 2005; Spangenberg and Kulenkampff, 2005]. In another version of this technique, a specified quantity of gas is placed in a sample, then the sample is flooded with water and cooled [Priest et al., 2009]. We have performed a number of tests in which hydrate was formed and the uniformity of the hydrate formation was examined. These tests have primarily used a variety of modifications of the excess gas method to make the hydrate, although we have also used a version of the excess water technique. Early on, we found difficulties in creating uniform samples with a particular sand/ initial water saturation combination (F-110 Sand, {approx} 35% initial water saturation). In many of our tests we selected this combination intentionally to determine whether we could use a method to make the samples uniform. The following methods were examined: Excess gas, Freeze/thaw/form, Freeze/pressurize/thaw, Excess gas followed by water saturation, Excess water, Sand and kaolinite, Use of a nucleation enhancer (SnoMax), and Use of salt in the water. Below, each method, the underlying hypothesis, and our results are briefly presented, followed by a brief conclusion. Many of the hypotheses investigated are not our own, but were presented to us. Much of the data presented is from x-ray CT scanning our samples. The x-ray CT scanner provides a three-dimensional density map of our samples. From this map and the physics that is occurring in our samples, we are able to gain an understanding of the spatial nature of the processes that occur, and attribute them to the locations where they occur.
Numerical integration of variational equations
Ch. Skokos; E. Gerlach
2010-09-29T23:59:59.000Z
We present and compare different numerical schemes for the integration of the variational equations of autonomous Hamiltonian systems whose kinetic energy is quadratic in the generalized momenta and whose potential is a function of the generalized positions. We apply these techniques to Hamiltonian systems of various degrees of freedom, and investigate their efficiency in accurately reproducing well-known properties of chaos indicators like the Lyapunov Characteristic Exponents (LCEs) and the Generalized Alignment Indices (GALIs). We find that the best numerical performance is exhibited by the \\textit{`tangent map (TM) method'}, a scheme based on symplectic integration techniques which proves to be optimal in speed and accuracy. According to this method, a symplectic integrator is used to approximate the solution of the Hamilton's equations of motion by the repeated action of a symplectic map $S$, while the corresponding tangent map $TS$, is used for the integration of the variational equations. A simple and systematic technique to construct $TS$ is also presented.
Exact Solutions of Einstein's Field Equations
P. S. Negi
2004-01-08T23:59:59.000Z
We examine various well known exact solutions available in the literature to investigate the recent criterion obtained in ref. [20] which should be fulfilled by any static and spherically symmetric solution in the state of hydrostatic equilibrium. It is seen that this criterion is fulfilled only by (i) the regular solutions having a vanishing surface density together with the pressure, and (ii) the singular solutions corresponding to a non-vanishing density at the surface of the configuration . On the other hand, the regular solutions corresponding to a non-vanishing surface density do not fulfill this criterion. Based upon this investigation, we point out that the exterior Schwarzschild solution itself provides necessary conditions for the types of the density distributions to be considered inside the mass, in order to obtain exact solutions or equations of state compatible with the structure of general relativity. The regular solutions with finite centre and non-zero surface densities which do not fulfill the criterion [20], in fact, can not meet the requirement of the `actual mass' set up by exterior Schwarzschild solution. The only regular solution which could be possible in this regard is represented by uniform (homogeneous) density distribution. The criterion [20] provides a necessary and sufficient condition for any static and spherical configuration (including core-envelope models) to be compatible with the structure of general relativity. Thus, it may find application to construct the appropriate core-envelope models of stellar objects like neutron stars and may be used to test various equations of state for dense nuclear matter and the models of relativistic stellar structures like star clusters.
A new approach for fast potential evaluation in N-body problems
Juttu, Sreekanth
2004-09-30T23:59:59.000Z
function satisfies the Laplace equation and is hence expressed as a linear combination of spherical harmonics, which form the general solutions of the Laplace equation. The orthogonality of the spherical harmonics is exploited to reduce execution time...
Numerical solutions of differential equations on FPGA-enhanced computers
He, Chuan
2009-05-15T23:59:59.000Z
FD Schemes on FPGA-Enhanced Computers ..............................61 5.2.1 Previous Work and Their Common Pitfalls .................................................61 5.2.2 Implementation of Fully-Pipelined Laplace Computing Engine... in a pipelined manner to increase data throughput significantly. The interconnections among those units could also be customized to match the requirements of specific algorithms so that high sustained data throughput could always be achieved...
Fourier's Law from Closure Equations
Jean Bricmont; Antti Kupiainen
2006-09-01T23:59:59.000Z
We give a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is proportional to the temperature gradient with a temperature dependent heat conductivity and the stationary temperature exhibits a nonlinear profile.
Evolution equation for quantum entanglement
Loss, Daniel
LETTERS Evolution equation for quantum entanglement THOMAS KONRAD1 , FERNANDO DE MELO2,3 , MARKUS of the time evolution of this resource under realistic conditions--that is, when corrupted by environment describes the time evolution of entanglement on passage of either component through an arbitrary noisy
Lyapunov Exponents for Burgers' Equation
Alexei Kourbatov
2015-02-23T23:59:59.000Z
We establish the existence, uniqueness, and stability of the stationary solution of the one-dimensional viscous Burgers equation with the Dirichlet boundary conditions on a finite interval. We obtain explicit formulas for solutions and analytically determine the Lyapunov exponents characterizing the asymptotic behavior of arbitrary solutions approaching the stationary one.
Nguyen, Xuan-Mai T.; Lane, John; Smith, Brian R.; Nguyen, Ninh T.
2009-01-01T23:59:59.000Z
Weight Classes in a Representative US Population: A Linkexamines a nationally representative complex, multistageeach weight class for a representative US population. The
Structures of Domains I and IV from YbbR are representative of...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
of Domains I and IV from YbbR are representative of a widely distributed protein family. Structures of Domains I and IV from YbbR are representative of a widely distributed protein...
Gregory H. Friedman: Before the U.S. House of Representatives...
Government Reform Gregory H. Friedman: Before the U.S. House of Representatives Committee on Government Reform March 20, 2003 Before the U.S. House of Representatives Committee on...
GOETZ, T.G.
2003-07-25T23:59:59.000Z
This technical basis document describes the risk binning process and the technical basis for assigning risk bins for the aboveground structure failure representative accident and associated represented hazardous conditions. This document was developed to support the documented safety analysis.
Physical interpretation of fractional diffusion-wave equation via lossy media obeying frequency not been clearly explained in this regard. Here the attempt is made to interpret the FDWE via a new time, for example, in medical ultrasonic and seismic wave propagations ( )z eEE - = 0 7-9 . Here E represents
Factorization of Dirac Equation and Graphene Quantum Dot
Youness Zahidi; Ahmed Jellal; Hocine Bahlouli; Mohammed El Bouziani
2014-05-14T23:59:59.000Z
We consider a quantum dot described by a cylindrically symmetric 2D Dirac equation. The potentials representing the quantum dot are taken to be of different types of potential configuration, scalar, vector and pseudo-scalar to enable us to enrich our study. Using various potential configurations, we found that in the presence of a mass term an electrostatically confined quantum dot can accommodate true bound states, which is in agreement with previous work. The differential cross section associated with one specific potential configuration has been computed and discussed as function of the various potential parameters.
NISTIR 5732 Calorimetric and Visual Measurements of R123
Oak Ridge National Laboratory
Symbols A coefficients of Laplace equation Ao total surface area: Ar + Af (m2) ATw amplitude of wall
China’s Military Representatives: Striving Toward Professional Contracting and Procurement
Puska, Susan M; McReynolds, Joe; Geary, Debra
2011-01-01T23:59:59.000Z
effect of specialization could be to develop military representatives who are experts in specific areas of the weapons and
The Allied Health Faculty Organization invited Representative Ed Bryant (7th Congressional
Cui, Yan
The Allied Health Faculty Organization invited Representative Ed Bryant (7th Congressional District) to visit the University and discuss such topics as health and education. Representative Bryant is a member Commerce Committee Prescription Drug Task Force. Prior to his service in the House, Representative Bryant
Why Think Causally? Published under the title: "Why Represent Causal Relations?"
Strevens, Michael
Why Think Causally? Published under the title: "Why Represent Causal Relations?" Michael Strevens University Press, New York, 2007. A Why do we represent the world around us using causal generalizations to be an ex- cellent vehicle for representing all-important relations of manipulability. The third, based
Green Functions of Relativistic Field Equations
Ying-Qiu Gu
2006-12-20T23:59:59.000Z
In this paper, we restudy the Green function expressions of field equations. We derive the explicit form of the Green functions for the Klein-Gordon equation and Dirac equation, and then estimate the decay rate of the solution to the linear equations. The main motivation of this paper is to show that: (1). The formal solutions of field equations expressed by Green function can be elevated as a postulate for unified field theory. (2). The inescapable decay of the solution of linear equations implies that the whole theory of the matter world should include nonlinear interaction.
London's Equation from Abelian Projection
V. Dzhunushaliev; D. Singleton
2002-04-05T23:59:59.000Z
Confinement in non-Abelian gauge theories, such as QCD, is often explained using an analogy to type II superconductivity. In this analogy the existence of the ``Meissner'' effect for quarks with respect to the QCD vacuum is an important element. Here we show that using the ideas of Abelian projection it is possible to arrive at an effective London equation from a non-Abelian gauge theory. (London's equation gave a phenomenological description of the Meissner effect prior to the Ginzburg-Landau or BCS theory of superconductors). The Abelian projected gauge field acts as the E&M field in normal superconductivity, while the remaining non-Abelian components form a gluon condensate which is described via an effective scalar field. This effective scalar field plays a role similar to the scalar field in Ginzburg-Landau theory.
Iterative solutions of simultaneous equations
Laycock, Guyron Brantley
1962-01-01T23:59:59.000Z
ITERATIVE SOLUTIONS OP SIKJLTANEOUS EQUATIONS G~cn Hrantlep I aycock Approved. as to style snd, content by& (Chairman of Committee) E. c. (Head. of Department August 1/62 ACKNOWLEDGEMENT The author wishes to thank Dr. Hi A. Luther for his time sn4.... . . . ~ ~ . . ~ III. JACOBI AND 6AUSS-SEIDEL METHODS I V ~ C ONCLUS I GN ~ ~ ~ a ~ ~ ~ t ~ ~ ~ ~ a ~ 1 ~ ~ ~ ~ ~ ~ 9 ~ . ~ 18 V BIBLIOGRAPHY ~ ~ ~ o ~ ~ t ~ ~ ~ ~ 1 ~ ~ ~ VI ~ APPENDIX ~ ~ o ~ ~ e ~ o ~ ~ o o ~ ~ ~ . 22 Px'ogl am Lisliiixlgs...
Langevin Equation on Fractal Curves
Seema Satin; A. D. Gangal
2014-04-28T23:59:59.000Z
We analyse a random motion of a particle on a fractal curve, using Langevin approach. This involves defining a new velocity in terms of mass of the fractal curve, as defined in recent work. The geometry of the fractal curve, hence plays an important role in this analysis. A Langevin equation with a particular noise model is thus proposed and solved using techniques of the newly developed $F^\\alpha$-Calculus .
Fritz, J.N.; Olinger, B.
1984-03-15T23:59:59.000Z
The volume of sodium in the bcc structure was measured at 293 K to 9 GPa using a high pressure, x-ray diffraction technique. The compression of NaF was used as the pressure gauge. These data, the shock compression data of Rice and Bakanova et al., and the melting curve data of Luedemann and Kennedy, and Ivanov et al., are all used to establish a model for the equation of state of sodium.
Office of Environmental Management (EM)
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645 3,625 1,006 492 742 33 1112011AT&T,OfficeEnd ofEvaluations in Covered Facilities | Department of Energy
Office of Environmental Management (EM)
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5Sales for4,645 3,625 1,006 492 742 33 1112011AT&T,OfficeEnd ofEvaluations in Covered Facilities | Department of Energy063-2011
What every designated representative should know about Title IV and Title V enforcement provisions
Bischoff, C.A. [Gallagher and Kennedy, Phoenix, AZ (United States); Dayal, P. [Tucson Electric Power Co., Tucson, AZ (United States)
1995-12-31T23:59:59.000Z
Title IV of the Clean Air Act not only created a regulatory program unlike any other under the Clean Air Act, but also established a unique position--the designated representative--as an integral part of the program. The designated representative is required to meet certain basic obligations under Title IV, and a panoply of enforcement mechanisms are available to EPA in the event of noncompliance with these obligations. Also, because a designated representative may take on responsibilities under the permit provisions of Title V of the Clean Air Act, the designated representative can also be subject to an enforcement action for failure to comply with certain Title V permit requirements. This paper considers the basic definition of the designated representative under EPA`s Title IV and Title V regulations, identifies the responsibilities assigned to the designated representative, and then analyzes the enforcement mechanisms that may be applied to the designated representative if a regulatory responsibility has not been satisfied.
18.03 Differential Equations, Spring 2004
Miller, Haynes R., 1948-
Study of ordinary differential equations, including modeling of physical problems and interpretation of their solutions. Standard solution methods for single first-order equations, including graphical and numerical methods. ...
18.03 Differential Equations, Spring 2006
Miller, Haynes
Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary ...
Padé interpolation for elliptic Painlevé equation
Masatoshi Noumi; Satoshi Tsujimoto; Yasuhiko Yamada
2012-08-08T23:59:59.000Z
An interpolation problem related to the elliptic Painlev\\'e equation is formulated and solved. A simple form of the elliptic Painlev\\'e equation and the Lax pair are obtained. Explicit determinant formulae of special solutions are also given.
Wave equations with energy dependent potentials
J. Formanek; R. J. Lombard; J. Mares
2003-09-22T23:59:59.000Z
We study wave equations with energy dependent potentials. Simple analytical models are found useful to illustrate difficulties encountered with the calculation and interpretation of observables. A formal analysis shows under which conditions such equations can be handled as evolution equation of quantum theory with an energy dependent potential. Once these conditions are met, such theory can be transformed into ordinary quantum theory.
The Schrodinger equation and negative energies
S. Bruce
2008-06-30T23:59:59.000Z
We present a nonrelativistic wave equation for the electron in (3+1)-dimensions which includes negative-energy eigenstates. We solve this equation for three well-known instances, reobtaining the corresponding Pauli equation (but including negative-energy eigenstates) in each case.
Quadratic Equation over Associative D-Algebra
Aleks Kleyn
2015-05-30T23:59:59.000Z
In this paper, I treat quadratic equation over associative $D$-algebra. In quaternion algebra $H$, the equation $x^2=a$ has either $2$ roots, or infinitely many roots. Since $a\\in R$, $aalgebra, the equation $$(x-b)(x-a)+(x-a)(x-c)=0$$ $b\
Bruce, Adam L
2015-01-01T23:59:59.000Z
We show the traditional rocket problem, where the ejecta velocity is assumed constant, can be reduced to an integral quadrature of which the completely non-relativistic equation of Tsiolkovsky, as well as the fully relativistic equation derived by Ackeret, are limiting cases. By expanding this quadrature in series, it is shown explicitly how relativistic corrections to the mass ratio equation as the rocket transitions from the Newtonian to the relativistic regime can be represented as products of exponential functions of the rocket velocity, ejecta velocity, and the speed of light. We find that even low order correction products approximate the traditional relativistic equation to a high accuracy in flight regimes up to $0.5c$ while retaining a clear distinction between the non-relativistic base-case and relativistic corrections. We furthermore use the results developed to consider the case where the rocket is not moving relativistically but the ejecta stream is, and where the ejecta stream is massless.
2Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period April through June 20 1 1. Data for these indicators were gathered...
2Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2009. Data for these indicators are gathered by Field elements...
1Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2005. Data for these indicators are gathered by Field elements...
2Q CY2008 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators QuarterlyReport covering the period from April to June 2008. Data for these indicators aregathered by Field elements...
2Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from April to June 2003. Data for these indicators are gathered by Field elements...
3Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the Period July through September 2011. Data for these indicators were gathered...
1Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2006. Data for these indicators are gathered by Field...
3Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from July to September 2003. Data for these indicators are gathered by Field...
3Q CY2000 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
The Facility Representative Program Indicators (Pis) Quarterly Report attached, covering the period from July to September 2000. Data for these indicators are gathered by the Field elements...
3Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
This memorandum summarizes the highlights of the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period of July through September 2010. Data for these...
4Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators QuarterlyReport covering the period from October to December 2007. Data for these indicators aregathered by Field...
2Q CY2004 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report Covering the Period from April to June 2004. Data for these indicators are gathered by Field elements...
4Q CY2002 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative Program Performance Indicators (Pis) Quarterly Report Covering the Period from October to December 2002. Data for these indicators are gathered by Field...
1Q CY2012 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January through March 2012. Data for these indicators were...
3Q CY2004 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report Covering the Period from July to September 2004. Data for these indicators are gathered by Field...
3Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2009. Data for these indicators are gathered by Field...
4Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2006. Data for these indicators are gathered by Field...
4Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2009. Data for these indicators are gathered by Field...
2Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2007. Data for these indicators are gathered by field elements...
3Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2006. Data for these indicators are gathered by Field...
4Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October through December 2011. Data for these indicators were...
4Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2005. Data for these indicators are gathered by Field...
4Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"This memorandum summarizes the highlights of the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period October through December 2010. Data for these...
4Q CY2004 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report Covering the Period from October to December 2004. Data for these indicators are gathered by Field...
3Q C&2008 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2008. Data for these indicators aregathered by Field...
1Q CY2009 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2009. Data for these indicators are gathered by Field...
2Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2005. Data for these indicators are gathered by Field elements...
4Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from October to December 2003. Data for these indicators are gathered by Field...
1Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March 2007. Data for these indicators are gathered by Field elements...
1Q CY2011 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the Period January through March 2011. Data for these indicators were gathered...
4Q CY2008 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from October to December 2008. Data for these indicators are gathered by Field...
2Q CY2006 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April to June 2006. Data for these indicators are gathered by Field elements...
2Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
This memorandum summarizes the highlight of, and announces the availablity on-line of, the Facility Representative (FR) Program Performance Indicators are gathered by Field elements quarterly per...
2Q CY2012 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"This memorandum summarizes the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from April through June 2012. Data for these indicators were...
3Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from July to September 2007. Data for these indicators are gathered by Field...
1Q CY2003 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
Attached is the Facility Representative Program Performance Indicators (PIs) Quarterly Report Covering the Period from January to March 2003. Data for these indicators are gathered by Field...
1Q CY2010 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"Attached is the Facility Representative (FR) Program Performance Indicators Quarterly Report covering the period from January to March2010. Data for these indicators are gathered by Field...
Do women represent women? : gender and policy in Argentina and Mexico
Piscopo, Jennifer M.
2011-01-01T23:59:59.000Z
Fiscal Federalism in Argentina: Policies, Politics, andRepresent Women? Gender and Policy in Argentina and Mexico AWomen? Gender and Policy in Argentina and Mexico. by
The properties of the first equation of the Vlasov chain of equations
E. E. Perepelkin; B. I. Sadovnikov; N. G. Inozemtseva
2015-02-06T23:59:59.000Z
A mathematically rigorous derivation of the first Vlasov equation as a well-known Schr\\"odinger equation for the probabilistic description of a system and families of the classic diffusion equations and heat conduction for the deterministic description of physical systems was inferred. A physical meaning of the phase of the wave function which is a scalar potential of the probabilistic flow velocity is demonstrated. Occurrence of the velocity potential vortex component leads to the Pauli equation for one of the spinar components. A scheme of the construction of the Schr\\"odinger equation solving from the Vlasov equation solving and vice-versa is shown. A process of introduction of the potential to the Schr\\"odinger equation and its interpretation are given. The analysis of the potential properties gives us the Maxwell equation, the equation of the kinematic point movement, and the movement of the medium within electromagnetic fields equation.
Evolution equation of moving defects: dislocations and inclusions
Markenscoff, Xanthippi
2010-01-01T23:59:59.000Z
9483-8 ORIGINAL PAPER Evolution equation of moving defects:Springerlink.com Abstract Evolution equations, or equationsof dissipation, and the evolution equation for a plane
Laplace Inversion of Low-Resolution NMR
Stanford University
Laboratory, Departments of Biotechnology and Environmental Engineering, The Institutes for Applied Research BERMAN,1 OFER LEVI,2 YISRAEL PARMET,2 MICHAEL SAUNDERS,3 ZEEV WIESMAN1 1 The Phyto-Lipid Biotechnology of digital images and signals. In this article, a numerical optimization method for analyzing LR- NMR data
LAPLACE TRANSFORM ESTIMATES AND DEVIATION INEQUALITIES
UniversitÃ© Pierre-et-Marie-Curie, Paris 6
, 60F05, 94A17, 60G42. Key words and phrases. Concentration of product measures, Deviation inequalit
United States House of Representatives Committee on Oversight and Government Reform
Kammen, Daniel M.
United States House of Representatives Committee on Oversight and Government Reform Testimony, and the rest of the Committee on Oversight and Government Reform, I am very pleased to have the opportunity responsible way. #12;Daniel M. Kammen House of Representatives Committee on Oversight and Government Reform
Detecting and Representing Relevant Web Deltas in Whoweda Sourav S Bhowmick1
Bhowmick, Sourav S.
Detecting and Representing Relevant Web Deltas in Whoweda Sourav S Bhowmick1 Sanjay Madria2 Wee given the old and new versions of a set of interlinked Web documents, retrieved in response to a user's query. In particular, we show how to detect and represent web deltas, i.e., changes in the Web documents
Representing Energy Price Variability in Long-and Medium-term Hydropower Optimization
Pasternack, Gregory B.
1 Representing Energy Price Variability in Long- and Medium- term Hydropower Optimization Marcelo A Resources Planning and Management, 2012, in press ABSTRACT Representing peak and off-peak energy prices and examines the reliability of an existing approximate method to incorporate hourly energy price information
Ma, Lena
INTRODUCTION Yard wastes currently represent about 15% of the total municipal solid waste collected: Collect representative and typical yard trash samples throughout Florida; Characterize the wastes these wastes. WORK ACCOMPLISHED Visited two compost and mulch processing facilities in Gainesville on 10
GOETZ, T.G.
2003-05-15T23:59:59.000Z
This technical basis document describes the risk binning process and the technical basis for assigning risk bins for the above-ground structure failure representative accident and associated represented hazardous conditions. This document was developed to support the documented safety analysis.
Bhattacharya, Tanmoy
2015-01-01T23:59:59.000Z
Results for the equation of state in 2+1 flavor QCD at zero net baryon density using the Highly Improved Staggered Quark (HISQ) action by the HotQCD collaboration are presented. The strange quark mass was tuned to its physical value and the light (up/down) quark masses fixed to $m_l = 0.05m_s$ corresponding to a pion mass of 160 MeV in the continuum limit. Lattices with temporal extent $N_t=6$, 8, 10 and 12 were used. Since the cutoff effects for $N_t>6$ were observed to be small, reliable continuum extrapolations of the lattice data for the phenomenologically interesting temperatures range $130 \\mathord{\\rm MeV} < T < 400 \\mathord{\\rm MeV}$ could be performed. We discuss statistical and systematic errors and compare our results with other published works.
Tanmoy Bhattacharya; for the HotQCD collaboration
2015-01-30T23:59:59.000Z
Results for the equation of state in 2+1 flavor QCD at zero net baryon density using the Highly Improved Staggered Quark (HISQ) action by the HotQCD collaboration are presented. The strange quark mass was tuned to its physical value and the light (up/down) quark masses fixed to $m_l = 0.05m_s$ corresponding to a pion mass of 160 MeV in the continuum limit. Lattices with temporal extent $N_t=6$, 8, 10 and 12 were used. Since the cutoff effects for $N_t>6$ were observed to be small, reliable continuum extrapolations of the lattice data for the phenomenologically interesting temperatures range $130 \\mathord{\\rm MeV} < T < 400 \\mathord{\\rm MeV}$ could be performed. We discuss statistical and systematic errors and compare our results with other published works.
Simultaneous Equation Correspondence to Author:
Ketan P. Dadhania; Parthika A. Nadpara; Yadvendra K. Agrawal; Ketan P. Dadhania
A simple, rapid, accurate, precise, specific and economical spectrophotometric method for simultaneous estimation of Gliclazide (GLC) and Metformin hydrochloride (MET) in combined tablet dosage form has been developed. It employs formation and solving of simultaneous equation using two wavelengths 227.0 nm and 237.5 nm. This method obeys Beer’s law in the employed concentration ranges of 5-25 ?g/ml and 2.5-12.5 ?g/ml for Gliclazide and Metformin hydrochloride, respectively. Results of analysis were validated statistically and by recovery studies. INTRODUCTION: Metformin hydrochloride (N, N-dimethylimidodicarbonimidic diamide hydrochloride or 1, 1-dimethyl biguanide hydrochloride) is oral antihyperglycemic drugs used in the management of type 2 diabetes 1,2. It is an antihyperglycemic agent,
Equivalence of the Husain and the Pleba?ski equations
M. Jakimowicz; J. Tafel
2006-03-31T23:59:59.000Z
We show that Husain's reduction of the self-dual Einstein equations is equivalent to the Pleba\\'nski equation. The B\\"acklund transformation between these equations is found. Contact symmetries of the Husain equation are derived.
A MULTIDIMENSIONAL NONLINEAR SIXTH-ORDER QUANTUM DIFFUSION EQUATION
heat equation tn = n. The second one is the fourth-order DerridaLebowitzSpeerSpohn (DLSS) equation
Herlemann, D. P. R.
2009-01-01T23:59:59.000Z
the first cultivated representative of the ElusimicrobiaT , the first cultured representative of the TG1 phylum. Wefirst pure-culture representative of the TG1 phylum, from
A. Zsom; C. P. Dullemond
2008-07-31T23:59:59.000Z
Context: There is increasing need for good algorithms for modeling the aggregation and fragmentation of solid particles (dust grains, dust aggregates, boulders) in various astrophysical settings, including protoplanetary disks, planetary- and sub-stellar atmospheres and dense molecular cloud cores. Here we describe a new algorithm that combines advantages of various standard methods into one. Aims: The aim is to develop a method that 1) can solve for aggregation and fragmentation, 2) can easily include the effect and evolution of grain properties such as compactness, composition, etc., and 3) can be built as a coagulation/fragmentation module into a hydrodynamics simulations. Methods: We develop a Monte-Carlo method in which we follow the 'life' of a limited number of representative particles. Each of these particles is associated with a certain fraction of the total dust mass and thereby represents a large number of true particles which all are assumed to have the same properties as their representative particle. Under the assumption that the total number of true particles vastly exceeds the number of representative particles, the chance of a representative particle colliding with another representative particle is negligibly small, and we therefore ignore this possibility. This now makes it possible to employ a statistical approach to the evolution of the representative particles. Results: The method reproduces the known analytic solutions of simplified coagulation kernels, and compares well to numerical results for Brownian motion using other methods. For reasonably well-behaved kernels it produces good results even for moderate number of swarms.
A New Integral Equation for the Spheroidal equations in case of m equal 1
Guihua Tian; Shuquan Zhong
2012-01-05T23:59:59.000Z
The spheroidal wave functions are investigated in the case m=1. The integral equation is obtained for them. For the two kinds of eigenvalues in the differential and corresponding integral equations, the relation between them are given explicitly. Though there are already some integral equations for the spheroidal equations, the relation between their two kinds of eigenvalues is not known till now. This is the great advantage of our integral equation, which will provide useful information through the study of the integral equation. Also an example is given for the special case, which shows another way to study the eigenvalue problem.
Stochastic Master Equations in Thermal Environment
S Attal; C Pellegrini
2010-04-20T23:59:59.000Z
We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model where we consider a small system in contact with an infinite chain at positive temperature. At zero temperature it is well-known that one obtains stochastic differential equations of jump-diffusion type. At strictly positive temperature, we show that only pure diffusion type equations are relevant.
Linear Equation in Finite Dimensional Algebra
Aleks Kleyn
2012-04-30T23:59:59.000Z
In the paper I considered methods for solving equations of the form axb+cxd=e in the algebra which is finite dimensional over the field.
Note: This syllabus may represent a past offering of this course and future is a virtue Â your insight, clarity of thought, #12;Note: This syllabus may represent
Gamba, Irene M. [Department of Mathematics, The University of Texas at Austin, 2515 Speedway, Stop C1200, Austin, TX 78712 (United States); ICES, The University of Texas at Austin, 201 E. 24th St., Stop C0200, Austin, TX 78712 (United States); Haack, Jeffrey R. [Department of Mathematics, The University of Texas at Austin, 2515 Speedway, Stop C1200, Austin, TX 78712 (United States)
2014-08-01T23:59:59.000Z
We present the formulation of a conservative spectral method for the Boltzmann collision operator with anisotropic scattering cross-sections. The method is an extension of the conservative spectral method of Gamba and Tharkabhushanam [17,18], which uses the weak form of the collision operator to represent the collisional term as a weighted convolution in Fourier space. The method is tested by computing the collision operator with a suitably cut-off angular cross section and comparing the results with the solution of the Landau equation. We analytically study the convergence rate of the Fourier transformed Boltzmann collision operator in the grazing collisions limit to the Fourier transformed Landau collision operator under the assumption of some regularity and decay conditions of the solution to the Boltzmann equation. Our results show that the angular singularity which corresponds to the Rutherford scattering cross section is the critical singularity for which a grazing collision limit exists for the Boltzmann operator. Additionally, we numerically study the differences between homogeneous solutions of the Boltzmann equation with the Rutherford scattering cross section and an artificial cross section, which give convergence to solutions of the Landau equation at different asymptotic rates. We numerically show the rate of the approximation as well as the consequences for the rate of entropy decay for homogeneous solutions of the Boltzmann equation and Landau equation.
A method for solving stochastic equations by reduced order models and local approximations
Grigoriu, M., E-mail: mdg12@cornell.edu [Cornell University, Ithaca, NY 14853-3501 (United States)
2012-08-01T23:59:59.000Z
A method is proposed for solving equations with random entries, referred to as stochastic equations (SEs). The method is based on two recent developments. The first approximates the response surface giving the solution of a stochastic equation as a function of its random parameters by a finite set of hyperplanes tangent to it at expansion points selected by geometrical arguments. The second approximates the vector of random parameters in the definition of a stochastic equation by a simple random vector, referred to as stochastic reduced order model (SROM), and uses it to construct a SROM for the solution of this equation. The proposed method is a direct extension of these two methods. It uses SROMs to select expansion points, rather than selecting these points by geometrical considerations, and represents the solution by linear and/or higher order local approximations. The implementation and the performance of the method are illustrated by numerical examples involving random eigenvalue problems and stochastic algebraic/differential equations. The method is conceptually simple, non-intrusive, efficient relative to classical Monte Carlo simulation, accurate, and guaranteed to converge to the exact solution.
Categorical Semantics for Schrödinger's Equation
Stefano Gogioso
2015-02-25T23:59:59.000Z
Applying ideas from monadic dynamics to the well-established framework of categorical quantum mechanics, we provide a novel toolbox for the simulation of finite-dimensional quantum dynamics. We use strongly complementary structures to give a graphical characterisation of quantum clocks, their action on systems and the relevant energy observables, and we proceed to formalise the connection between unitary dynamics and projection-valued spectra. We identify the Weyl canonical commutation relations in the axioms of strong complementarity, and conclude the existence of a dual pair of time/energy observables for finite-dimensional quantum clocks, with the relevant uncertainty principle given by mutual unbias of the corresponding orthonormal bases. We show that Schr\\"odinger's equation can be abstractly formulated as characterising the Fourier transforms of certain Eilenberg-Moore morphisms from a quantum clock to a quantum dynamical system, and we use this to obtain a generalised version of the Feynman's clock construction. We tackle the issue of synchronism of clocks and systems, prove conservation of total energy and give conditions for the existence of an internal time observable for a quantum dynamical system. Finally, we identify our treatment as part of a more general theory of simulated symmetries of quantum systems (of which our clock actions are a special case) and their conservation laws (of which energy is a special case).
Scalable Equation of State Capability
Epperly, T W; Fritsch, F N; Norquist, P D; Sanford, L A
2007-12-03T23:59:59.000Z
The purpose of this techbase project was to investigate the use of parallel array data types to reduce the memory footprint of the Livermore Equation Of State (LEOS) library. Addressing the memory scalability of LEOS is necessary to run large scientific simulations on IBM BG/L and future architectures with low memory per processing core. We considered using normal MPI, one-sided MPI, and Global Arrays to manage the distributed array and ended up choosing Global Arrays because it was the only communication library that provided the level of asynchronous access required. To reduce the runtime overhead using a parallel array data structure, a least recently used (LRU) caching algorithm was used to provide a local cache of commonly used parts of the parallel array. The approach was initially implemented in a isolated copy of LEOS and was later integrated into the main trunk of the LEOS Subversion repository. The approach was tested using a simple test. Testing indicated that the approach was feasible, and the simple LRU caching had a 86% hit rate.
Broader source: Energy.gov [DOE]
Slide Presentation by Tom McQuiston, Dr. P.H., United Steelworkers - Tony Mazzocchi Center for Health, Safety and Environmental Education. Lessons Learned in Optimizing Workers’ and Worker Representatives’ Input in Work Planning and Control.
2Q CY2000 (PDF), Facility Representative Program Performance Indicators Quarterly Report
Broader source: Energy.gov [DOE]
"The Facility Representative Program Performance Indicators (PIs) Quarterly Report is attached, covering the period from April 2000 to June 2000. Data for these indicators are gathered by the Field...
Lee, Lori L
2013-02-22T23:59:59.000Z
. Boland and Heaney use the idealized model of the traditional Irish family to represent the Irish nation, describing through personal experience a national significance. This is in contrast to Paul Muldoon, who was born the generation after Boland...
Gregory H. Friedman: Before The U.S. House of Representatives...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
The U.S. House of Representatives Committee on Government Reform Subcommittee on the Federal Workforce and Agency Organization Gregory H. Friedman: Before The U.S. House of...
U.S. Energy Secretary Steven Chu, U.S. Representatives Larson...
Broader source: Energy.gov (indexed) [DOE]
in innovation and clean energy to put people back to work, grow the economy, and win the future. He will be joined by U.S. Representatives John Larson and Joe Courtney for...
Comment on ``Thermodynamically Admissible 13 Moment Equations from the Boltzmann Equation''
, they do not include classical hydrodynam- ics in the limit of small Knudsen numbers. The hydro- dynamic to the equations of hydrodynamics in the limit of small Knudsen numbers. Presently, the R13 equations have
18.085 Mathematical Methods for Engineers I, Fall 2002
Strang, Gilbert
Review of linear algebra, applications to networks, structures, and estimation, Lagrange multipliers, differential equations of equilibrium, Laplace's equation and potential flow, boundary-value problems, minimum principles ...
Probabilistic Analysis of a Monod-type equation by use of a single chamber Microbial Fuel Cell
Probabilistic Analysis of a Monod-type equation by use of a single chamber Microbial Fuel Cell Eric for our society. Microbial fuel cells (MFCs) represent a new form of renewable energy by converting of a single chamber Microbial Fuel Cell affect the power density produced in the Microbial Fuel Cell
Cultural values represented by Hispanic and US superheroes: a text analysis
Sanchez Castillo, Claudia del Carmen
1999-01-01T23:59:59.000Z
CULTURAL VALUES REPRESENTED BY HISPANIC AND US SUPERHEROES: A TEXT ANALYSIS A Thesis by CLAUDIA DEL CARMEN SANCHEZ CASTILLO 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 1999 Major Subject: Curriculum and Instruction CULTURAL VALUES REPRESENTED BY HISPANIC AND US SUPERHEROES: A TEXT ANALYSIS A Thesis by CLAUDIA DEL CAKvKN SANCHEZ CASTILLO Submitted to the Office of Graduate...
Wavelet transforms as solutions of partial differential equations
Zweig, G.
1997-10-01T23:59:59.000Z
This is the final report of a three-year, Laboratory Directed Research and Development (LDRD) project at Los Alamos National Laboratory (LANL). Wavelet transforms are useful in representing transients whose time and frequency structure reflect the dynamics of an underlying physical system. Speech sound, pressure in turbulent fluid flow, or engine sound in automobiles are excellent candidates for wavelet analysis. This project focused on (1) methods for choosing the parent wavelet for a continuous wavelet transform in pattern recognition applications and (2) the more efficient computation of continuous wavelet transforms by understanding the relationship between discrete wavelet transforms and discretized continuous wavelet transforms. The most interesting result of this research is the finding that the generalized wave equation, on which the continuous wavelet transform is based, can be used to understand phenomena that relate to the process of hearing.
Gravitational Field Equations and Theory of Dark Matter and Dark Energy
Tian Ma; Shouhong Wang
2012-07-11T23:59:59.000Z
The main objective of this article is to derive a new set of gravitational field equations and to establish a new unified theory for dark energy and dark matter. The new gravitational field equations with scalar potential $\\varphi$ are derived using the Einstein-Hilbert functional, and the scalar potential $\\varphi$ is a natural outcome of the divergence-free constraint of the variational elements. Gravitation is now described by the Riemannian metric $g_{ij}$, the scalar potential $\\varphi$ and their interactions, unified by the new gravitational field equations. Associated with the scalar potential $\\varphi$ is the scalar potential energy density $\\frac{c^4}{8\\pi G} \\Phi=\\frac{c^4}{8\\pi G} g^{ij}D_iD_j \\varphi$, which represents a new type of energy caused by the non-uniform distribution of matter in the universe. The negative part of this potential energy density produces attraction, and the positive part produces repelling force. This potential energy density is conserved with mean zero: $\\int_M \\Phi dM=0$. The sum of this new potential energy density $\\frac{c^4}{8\\pi G} \\Phi$ and the coupling energy between the energy-momentum tensor $T_{ij}$ and the scalar potential field $\\varphi$ gives rise to a new unified theory for dark matter and dark energy: The negative part of this sum represents the dark matter, which produces attraction, and the positive part represents the dark energy, which drives the acceleration of expanding galaxies. In addition, the scalar curvature of space-time obeys $R=\\frac{8\\pi G}{c^4} T + \\Phi$. Furthermore, the new field equations resolve a few difficulties encountered by the classical Einstein field equations.
Derivation of Maxwell-like equations from the quaternionic Dirac's equation
A. I. Arbab
2014-09-07T23:59:59.000Z
Expanding the ordinary Dirac's equation, $\\frac{1}{c}\\frac{\\partial\\psi}{\\partial t}+\\vec{\\alpha}\\cdot\\vec{\
Coupled Parabolic Equations for Wave Propagation
Zhao, Hongkai
Coupled Parabolic Equations for Wave Propagation Kai Huang, Knut Solna and Hongkai Zhao #3; April simulation of wave propagation over long distances. The coupled parabolic equations are derived from a two algorithms are important in order to understand wave propagation in complex media. Resolving the wavelength
Relativistic Wave Equations and Compton Scattering
B. A. Robson; S. H. Sutanto
2006-05-25T23:59:59.000Z
The recently proposed eight-component relativistic wave equation is applied to the scattering of a photon from a free electron (Compton scattering). It is found that in spite of the considerable difference in the structure of this equation and that of Dirac the cross section is given by the Klein-Nishina formula.
Derivation of a Stochastic Neutron Transport Equation
Edward J. Allen
2010-04-14T23:59:59.000Z
Stochastic difference equations and a stochastic partial differential equation (SPDE) are simultaneously derived for the time-dependent neutron angular density in a general three-dimensional medium where the neutron angular density is a function of position, direction, energy, and time. Special cases of the equations are given such as transport in one-dimensional plane geometry with isotropic scattering and transport in a homogeneous medium. The stochastic equations are derived from basic principles, i.e., from the changes that occur in a small time interval. Stochastic difference equations of the neutron angular density are constructed, taking into account the inherent randomness in scatters, absorptions, and source neutrons. As the time interval decreases, the stochastic difference equations lead to a system of Ito stochastic differential equations (SDEs). As the energy, direction, and position intervals decrease, an SPDE is derived for the neutron angular density. Comparisons between numerical solutions of the stochastic difference equations and independently formulated Monte Carlo calculations support the accuracy of the derivations.
CONTROL VALVE TESTING PROCEDURES AND EQUATIONS
Rahmeyer, William J.
APPENDIX A CONTROL VALVE TESTING PROCEDURES AND EQUATIONS FOR LIQUID FLOWS #12;APPENDIX A CONTROL VALVE TESTING PROCEDURES AND EQUATIONS FOR LIQUID FLOWS 2 Cv Q P Sg net gpm net = / Cv = Q P / Sg 75 is used to relate the pressure loss of a valve to the discharge of the valve at a given valve opening
Additive Relation and Algebraic System of Equations
Ziqian Wu
2012-03-01T23:59:59.000Z
Additive relations are defined over additive monoids and additive operation is introduced over these new relations then we build algebraic system of equations. We can generate profuse equations by additive relations of two variables. To give an equation with several known parameters is to give an additive relation taking these known parameters as its variables or value and the solution of the equation is just the reverse of this relation which always exists. We show a core result in this paper that any additive relation of many variables and their inverse can be expressed in the form of the superposition of additive relations of one variable in an algebraic system of equations if the system satisfies some conditions. This result means that there is always a formula solution expressed in the superposition of additive relations of one variable for any equation in this system. We get algebraic equations if elements of the additive monoid are numbers and get operator equations if they are functions.
The Cauchy Problem of the Ward equation
Derchyi Wu
2008-06-02T23:59:59.000Z
We generalize the results of Villarroel, Fokas and Ioannidou, Dai, Terng and Uhlenbeck to study the inverse scattering problem of the Ward equation with non-small data and solve the Cauchy problem of the Ward equation with a non-small purely continuous scattering data.
The Papapetrou equations and supplementary conditions
O. B. Karpov
2004-06-02T23:59:59.000Z
On the bases of the Papapetrou equations with various supplementary conditions and other approaches a comparative analysis of the equations of motion of rotating bodies in general relativity is made. The motion of a body with vertical spin in a circular orbit is considered. An expression for the spin-orbit force in a post-Newtonian approximation is investigated.
Comment on ``Discrete Boltzmann Equation for Microfluidics''
Luo, Li-Shi
Comment on ``Discrete Boltzmann Equation for Microfluidics'' In a recent Letter [1], Li and Kwok use a lattice Boltzmann equation (LBE) for microfluidics. Their main claim is that an LBE model for microfluidics can be constructed based on the ``Bhatnagar-Gross-Kooky [sic]'' model by including ``the
Optimization and Nonlinear Equations Gordon K. Smyth
Smyth, Gordon K.
Optimization and Nonlinear Equations Gordon K. Smyth May 1997 Optimization means to find that value of x which maxÂ imizes or minimizes a given function f(x). The idea of optimization goes to the heart with respect to the components of x. Except in linear cases, optimization and equation solving invariably
PhotovoltaicsPhotovoltaics: the equations for solar: the equations for solar--cell designcell design
Pulfrey, David L.
design LECTURE 5 · photovoltaic effect · the equation set · simplifying the equation set · absorption, Germany 90 MW Sarnia, Ontario 5kW Boston Massachusetts http://256.com/solar/ #12;3 The Photovoltaic EffectThe Photovoltaic EffectSec. 7.0 Is the full Device Equation Set needed to design and analyze a cell like this one
Diffractive Nonlinear Geometrical Optics for Variational Wave Equations and the Einstein Equations
Giuseppe Ali; John K. Hunter
2005-11-02T23:59:59.000Z
We derive an asymptotic solution of the vacuum Einstein equations that describes the propagation and diffraction of a localized, large-amplitude, rapidly-varying gravitational wave. We compare and contrast the resulting theory of strongly nonlinear geometrical optics for the Einstein equations with nonlinear geometrical optics theories for variational wave equations.
Equation of state and helioseismic inversions
Sarbani Basu; J. Christensen-Dalsgaard
1997-02-19T23:59:59.000Z
Inversions to determine the squared isothermal sound speed and density within the Sun often use the helium abundance Y as the second parameter. This requires the explicit use of the equation of state (EOS), thus potentially leading to systematic errors in the results if the equations of state of the reference model and the Sun are not the same. We demonstrate how this potential error can be suppressed. We also show that it is possible to invert for the intrinsic difference in the adiabatic exponent Gamma_1 between two equations of state. When applied to solar data such inversion rules out the EFF equation of state completely, while with existing data it is difficult to distinguish between other equations of state.
Classical non-Markovian Boltzmann equation
Alexanian, Moorad, E-mail: alexanian@uncw.edu [Department of Physics and Physical Oceanography, University of North Carolina Wilmington, Wilmington, North Carolina 28403-5606 (United States)
2014-08-01T23:59:59.000Z
The modeling of particle transport involves anomalous diffusion, (x²(t) ) ? t{sup ?} with ? ? 1, with subdiffusive transport corresponding to 0 < ? < 1 and superdiffusive transport to ? > 1. These anomalies give rise to fractional advection-dispersion equations with memory in space and time. The usual Boltzmann equation, with only isolated binary collisions, is Markovian and, in particular, the contributions of the three-particle distribution function are neglected. We show that the inclusion of higher-order distribution functions give rise to an exact, non-Markovian Boltzmann equation with resulting transport equations for mass, momentum, and kinetic energy with memory in both time and space. The two- and the three-particle distribution functions are considered under the assumption that the two- and the three-particle correlation functions are translationally invariant that allows us to obtain advection-dispersion equations for modeling transport in terms of spatial and temporal fractional derivatives.
The generalized Schrödinger–Langevin equation
Bargueño, Pedro, E-mail: p.bargueno@uniandes.edu.co [Departamento de Física, Universidad de los Andes, Apartado Aéreo 4976, Bogotá, Distrito Capital (Colombia); Miret-Artés, Salvador, E-mail: s.miret@iff.csic.es [Instituto de Física Fundamental, CSIC, Serrano 123, 28006, Madrid (Spain)
2014-07-15T23:59:59.000Z
In this work, for a Brownian particle interacting with a heat bath, we derive a generalization of the so-called Schrödinger–Langevin or Kostin equation. This generalization is based on a nonlinear interaction model providing a state-dependent dissipation process exhibiting multiplicative noise. Two straightforward applications to the measurement process are then analyzed, continuous and weak measurements in terms of the quantum Bohmian trajectory formalism. Finally, it is also shown that the generalized uncertainty principle, which appears in some approaches to quantum gravity, can be expressed in terms of this generalized equation. -- Highlights: •We generalize the Kostin equation for arbitrary system–bath coupling. •This generalization is developed both in the Schrödinger and Bohmian formalisms. •We write the generalized Kostin equation for two measurement problems. •We reformulate the generalized uncertainty principle in terms of this equation.
Exact PDF equations and closure approximations for advective-reactive transport
Venturi, D.; Tartakovsky, Daniel M.; Tartakovsky, Alexandre M.; Karniadakis, George E.
2013-06-01T23:59:59.000Z
Mathematical models of advection–reaction phenomena rely on advective flow velocity and (bio) chemical reaction rates that are notoriously random. By using functional integral methods, we derive exact evolution equations for the probability density function (PDF) of the state variables of the advection–reaction system in the presence of random transport velocity and random reaction rates with rather arbitrary distributions. These PDF equations are solved analytically for transport with deterministic flow velocity and a linear reaction rate represented mathematically by a heterog eneous and strongly-correlated random field. Our analytical solution is then used to investigate the accuracy and robustness of the recently proposed large-eddy diffusivity (LED) closure approximation [1]. We find that the solution to the LED-based PDF equation, which is exact for uncorrelated reaction rates, is accurate even in the presence of strong correlations and it provides an upper bound of predictive uncertainty.
Constraining and applying a generic high-density equation of state
Mark G. Alford; G. F. Burgio; Sophia Han; Gabriele Taranto; Dario Zappalà
2015-01-30T23:59:59.000Z
We discuss the "constant speed of sound" (CSS) parameterization of the equation of state of high density matter, and its application to the Field Correlator Method (FCM) model of quark matter. We show how observational constraints on the maximum mass and typical radius of neutron stars are expressed as constraints on the CSS parameters. We find that the observation of a $2\\,{\\rm M}_\\odot$ star already severely constrains the CSS parameters, and is particularly difficult to accommodate if the squared speed of sound in the high density phase is assumed to be around $1/3$ or less. We show that the FCM equation of state can be accurately represented by the CSS parameterization. We display the mapping between the FCM and CSS parameters, and see that FCM only allows equations of state in a restricted subspace of the CSS parameters.
Constraining and applying a generic high-density equation of state
Alford, Mark G; Han, Sophia; Taranto, Gabriele; Zappalà, Dario
2015-01-01T23:59:59.000Z
We discuss the "constant speed of sound" (CSS) parameterization of the equation of state of high density matter, and its application to the Field Correlator Method (FCM) model of quark matter. We show how observational constraints on the maximum mass and typical radius of neutron stars are expressed as constraints on the CSS parameters. We find that the observation of a $2\\,{\\rm M}_\\odot$ star already severely constrains the CSS parameters, and is particularly difficult to accommodate if the squared speed of sound in the high density phase is assumed to be around $1/3$ or less. We show that the FCM equation of state can be accurately represented by the CSS parameterization. We display the mapping between the FCM and CSS parameters, and see that FCM only allows equations of state in a restricted subspace of the CSS parameters.
Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations
Soh, C Wafo
2007-01-01T23:59:59.000Z
We completely solve the equivalence problem for Euler-Bernoulli equation using Lie symmetry analysis. We show that the quotient of the symmetry Lie algebra of the Bernoulli equation by the infinite-dimensional Lie algebra spanned by solution symmetries is a representation of one of the following Lie algebras: $2A_1$, $A_1\\oplus A_2$, $3A_1$, or $A_{3,3}\\oplus A_1$. Each quotient symmetry Lie algebra determines an equivalence class of Euler-Bernoulli equations. Save for the generic case corresponding to arbitrary lineal mass density and flexural rigidity, we characterize the elements of each class by giving a determined set of differential equations satisfied by physical parameters (lineal mass density and flexural rigidity). For each class, we provide a simple representative and we explicitly construct transformations that maps a class member to its representative. The maximally symmetric class described by the four-dimensional quotient symmetry Lie algebra $A_{3,3}\\oplus A_1$ corresponds to Euler-Bernoulli e...
New wave equation for ultrarelativistic particles
Ginés R. Pérez Teruel
2014-12-15T23:59:59.000Z
Starting from first principles and general assumptions based on the energy-momentum relation of the Special Theory of Relativity we present a novel wave equation for ultrarelativistic matter. This wave equation arises when particles satisfy the condition, $p>>m$, i.e, when the energy-momentum relation can be approximated by, $E\\simeq p+\\frac{m^{2}}{2p}$. Interestingly enough, such as the Dirac equation, it is found that this wave equation includes spin in a natural way. Furthermore, the free solutions of this wave equation contain plane waves that are completely equivalent to those of the theory of neutrino oscillations. Therefore, the theory reproduces some standard results of the Dirac theory in the limit $p>>m$, but offers the possibility of an explicit Lorentz Invariance Violation of order, $\\mathcal{O}((mc)^{4}/p^{2})$. As a result, the theory could be useful to test small departures from Dirac equation and Lorentz Invariance at very high energies. On the other hand, the wave equation can also describe particles of spin 1 by a simple substitution of the spin operators, $\\boldsymbol{\\sigma}\\rightarrow\\boldsymbol{\\alpha}$. In addition, it naturally admits a Lagrangian formulation and a Hamiltonian formalism. We also discuss the associated conservation laws that arise through the symmetry transformations of the Lagrangian.
Uniqueness theorems for equations of Keldysh Type
Thomas H. Otway
2010-05-25T23:59:59.000Z
A fundamental result that characterizes elliptic-hyperbolic equations of Tricomi type, the uniqueness of classical solutions to the open Dirichlet problem, is extended to a large class of elliptic-hyperbolic equations of Keldysh type. The result implies the non-existence of classical solutions to the closed Dirichlet problem for this class of equations. A uniqueness theorem is also proven for a mixed Dirichlet-Neumann problem. A generalized uniqueness theorem for the adjoint operator leads to the existence of distribution solutions to the closed Dirichlet problem in a special case.
Supersymmetric Ito equation: Bosonization and exact solutions
Ren Bo; Yu Jun [Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000 (China); Lin Ji [Institute of Nonlinear Physics, ZheJiang Normal University, Jinhua, 321004 (China)
2013-04-15T23:59:59.000Z
Based on the bosonization approach, the N=1 supersymmetric Ito (sIto) system is changed to a system of coupled bosonic equations. The approach can effectively avoid difficulties caused by intractable fermionic fields which are anticommuting. By solving the coupled bosonic equations, the traveling wave solutions of the sIto system are obtained with the mapping and deformation method. Some novel types of exact solutions for the supersymmetric system are constructed with the solutions and symmetries of the usual Ito equation. In the meanwhile, the similarity reduction solutions of the model are also studied with the Lie point symmetry theory.
Technical basis for the tank bump representative accident and associated hazardous conditions
WILLIAMS, J.C.
2003-03-21T23:59:59.000Z
This technical basis document was developed to support the Tank Farms Documented Safety Analysis (DSA) and describes the risk binning process and the technical basis for assigning risk bins for the tank bump representative accident and associated hazardous conditions. The purpose of the risk binning process is to determine the need for safety-significant structures, systems, and components (SSC) and/or technical safety requirement (TSR)-level controls for a given representative accident or represented hazardous conditions based on an evaluation of the frequency and consequence. Note that the risk binning process is not applied to facility workers, because all facility worker hazardous conditions are considered for safety-significant SSCs and/or TSR-level controls. Determination of the need for safety-class SSCs was performed in accordance with DOE-STD-3009-94, ''Preparation Guide for US Department of Energy Nonreactor Nuclear Facility Safety Analysis Reports'', as described in this report.
THE DIFFUSION APPROXIMATION FOR THE LINEAR BOLTZMANN EQUATION
THE DIFFUSION APPROXIMATION FOR THE LINEAR BOLTZMANN EQUATION WITH VANISHING SCATTERING COEFFICIENT equation, Diffusion approximation, Neutron transport equation, Radiative transfer equation subject, 23], neutron transport theory [27]. A typical model linear Boltzmann equation is (t +· x)f(t,x,)= 1
Infrared Evolution Equations: Method and Applications
B. I. Ermolaev; M. Greco; S. I. Troyan
2007-04-03T23:59:59.000Z
It is a brief review on composing and solving Infrared Evolution Equations. They can be used in order to calculate amplitudes of high-energy reactions in different kinematic regions in the double-logarithmic approximation.
SESAME equation of state for epoxy
Boettger, J.C.
1994-03-01T23:59:59.000Z
A new SESAME equation of state (EOS) for epoxy has been generated using the computer program GRIZZLY. This new EOS has been added to the SESAME EOS library as material number 7603.
On Gaussian Beams Described by Jacobi's Equation
Smith, Steven T.
Gaussian beams describe the amplitude and phase of rays and are widely used to model acoustic propagation. This paper describes four new results in the theory of Gaussian beams. (1) A new version of the ?ervený equations ...
Equator Appliance: ENERGY STAR Referral (EZ 3720)
Broader source: Energy.gov [DOE]
DOE referred Equator Appliance clothes washer EZ 3720 to EPA, brand manager of the ENERGY STAR program, for appropriate action after DOE testing revealed that the model does not meet ENERGY STAR requirements.
Inverse backscattering for the acoustic equation
Bulgarian Academy of Sciences. 1113 Sofia .... The natural energy space for equation (1.1) is the completion H of C? ..... Our plan is the following. First we will ...
Dirac--Lie systems and Schwarzian equations
J. F. Cariñena; J. Grabowski; J. de Lucas; C. Sardón
2014-06-03T23:59:59.000Z
A Lie system is a system of differential equations admitting a superposition rule, i.e., a function describing its general solution in terms of any generic set of particular solutions and some constants. Following ideas going back to the Dirac's description of constrained systems, we introduce and analyse a particular class of Lie systems on Dirac manifolds, called Dirac--Lie systems, which are associated with `Dirac--Lie Hamiltonians'. Our results enable us to investigate constants of the motion, superposition rules, and other general properties of such systems in a more effective way. Several concepts of the theory of Lie systems are adapted to this `Dirac setting' and new applications of Dirac geometry in differential equations are presented. As an application, we analyze traveling wave solutions of Schwarzian equations, but our methods can be applied also to other classes of differential equations important for Physics.
Semimartingales from the Fokker-Planck Equation
Mikami, Toshio [Department of Mathematics, Hokkaido University, Sapporo 060-0810 (Japan)], E-mail: mikami@math.sci.hokudai.ac.jp
2006-03-15T23:59:59.000Z
We show the existence of a semimartingale of which one-dimensional marginal distributions are given by the solution of the Fokker-Planck equation with the pth integrable drift vector (p > 1)
Quantum Statistical Mechanics. II. Stochastic Schrodinger Equation
Phil Attard
2014-06-02T23:59:59.000Z
The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the density matrix, which is an explicit, stochastic form of the Lindblad master equation. A quantum fluctuation-dissipation theorem is also derived. The time correlation function is discussed.
Optimization of the back equation of state
Iglesias-Silva, Gustavo Arturo
1983-01-01T23:59:59.000Z
its validity over the entire PVT diagram. First, the equation is extrapolated to high densities, pressures, and temperatures using data from Robertson et al. (1969) up to 10 000 bars, Michels et al. (1949) up to 2 900 bars and 423 K, and Van.... Rundel1 (Member) ABSTRACT Optimization of the Back . Equation of State (May 1983) Gustavo Arturo Iglesias-Silva, B. S. Instituto Politecnico Nacional, Mexico Chairman of Advisory Committee: Dr. Kenneth R. Hall An accurate representation of PVT...
The Raychaudhuri equation for spinning test particles
Mohseni, Morteza
2015-01-01T23:59:59.000Z
We obtain generalized Raychaudhuri equations for spinning test particles corresponding to congruences of particle's world-lines, momentum, and spin. These are physical examples of the Raychaudhuri equation for a non-normalized vector, unit time-like vector, and unit space-like vector. We compute and compare the evolution of expansion-like parameters associated with these congruences for spinning particles confined in the equatorial plane of the Kerr space-time.
Nonlinear quantum equations: Classical field theory
Rego-Monteiro, M. A.; Nobre, F. D. [Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ (Brazil)] [Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ (Brazil)
2013-10-15T23:59:59.000Z
An exact classical field theory for nonlinear quantum equations is presented herein. It has been applied recently to a nonlinear Schrödinger equation, and it is shown herein to hold also for a nonlinear generalization of the Klein-Gordon equation. These generalizations were carried by introducing nonlinear terms, characterized by exponents depending on an index q, in such a way that the standard, linear equations, are recovered in the limit q? 1. The main characteristic of this field theory consists on the fact that besides the usual ?(x(vector sign),t), a new field ?(x(vector sign),t) needs to be introduced in the Lagrangian, as well. The field ?(x(vector sign),t), which is defined by means of an additional equation, becomes ?{sup *}(x(vector sign),t) only when q? 1. The solutions for the fields ?(x(vector sign),t) and ?(x(vector sign),t) are found herein, being expressed in terms of a q-plane wave; moreover, both field equations lead to the relation E{sup 2}=p{sup 2}c{sup 2}+m{sup 2}c{sup 4}, for all values of q. The fact that such a classical field theory works well for two very distinct nonlinear quantum equations, namely, the Schrödinger and Klein-Gordon ones, suggests that this procedure should be appropriate for a wider class nonlinear equations. It is shown that the standard global gauge invariance is broken as a consequence of the nonlinearity.
Finite Element Analysis of the Schroedinger Equation
Avtar S. Sehra
2007-04-17T23:59:59.000Z
The purpose of this work is to test the application of the finite element method to quantum mechanical problems, in particular for solving the Schroedinger equation. We begin with an overview of quantum mechanics, and standard numerical techniques. We then give an introduction to finite element analysis using the diffusion equation as an example. Three numerical time evolution methods are considered: the (tried and tested) Crank-Nicolson method, the continuous space-time method, and the discontinuous space-time method.
Black hole initial data without elliptic equations
István Rácz; Jeffrey Winicour
2015-02-24T23:59:59.000Z
We explore whether a new method to solve the constraints of Einstein's equations, which does not involve elliptic equations, can be applied to provide initial data for black holes. We show that this method can be successfully applied to a nonlinear perturbation of a Schwarzschild black hole by establishing the well-posedness of the resulting constraint problem. We discuss its possible generalization to the boosted, spinning multiple black hole problem.
Crawford, John R.
Using MR equations built from summary data 1 Running head: Using MR equations built from summary, United Kingdom. E-mail: j.crawford@abdn.ac.uk #12;Using MR equations built from summary data 2 Abstract; regression equations; single-case methods #12;Using MR equations built from summary data 3 INTRODUCTION
de Lijser, Peter
Application & Permit". A site and floor plan must be submitted to the Office of the State Fire Marshal with the Fire and Life Safety requirements of Title 19, Title 24, and the conditions noted on this permit. Non. The Facility Representative shall transmit the "Special Event Application & Permit" to the Office of the State
Representing hierarchical POMDPs as DBNs, with applications to mobile robot navigation
Murphy, Kevin Patrick
Representing hierarchical POMDPs as DBNs, with applications to mobile robot navigation Kevin P and learning is faster than in SCFGs. In particular, inference in an HHMM can be done in O(T) time [MP01) takes O(T 3 ) time [JM00]. This also means learning, which uses inference as a subroutine, is faster. Y
Synthesizing Representative I/O Workloads Using Iterative Distillation Zachary Kurmas
Kurmas, Zachary
Synthesizing Representative I/O Workloads Using Iterative Distillation Zachary Kurmas College proper- ties are "key" for a given workload and storage system. We have developed a tool, the Distiller, that automati- cally identifies the key properties ("attribute-values") of the workload. The Distiller then uses
Houston, Paul L.
Laser Safety Web Resources The web links below represent varied resources for laser safety information and equipment. The inclusion or exclusion of any given resource is not meant to reflect endorsement by Georgia Tech. Please contact the Laser Safety Officer if you know of any helpful resources
Law School Admissions Panel Law School representatives will discuss the law school admissions
Brinkmann, Peter
Law School Admissions Panel Law School representatives will discuss the law school admissions process and talk about their respective schools in a panel discussion format. Join us and learn how in Law School Admissions Panel epresentatives will discuss the law school admissions process and talk
Representing OGC Geospatial Web Services in OWL-S Web Service Ontologies
Stock, Kristin
Representing OGC Geospatial Web Services in OWL-S Web Service Ontologies Kristin Stock,1,2 Anne Robertson3 and Mark Small3 1 Centre for Geospatial Science, University of Nottingham, Nottingham NG7 2RD geospatial web services, most of which conform to specifications of the Open Geospatial Consortium (OGC
CO2 efflux from Amazonian headwater streams represents a significant fate for deep soil respiration
Lehmann, Johannes
CO2 efflux from Amazonian headwater streams represents a significant fate for deep soil respiration amounts of CO2 to the atmosphere, while the magnitude of CO2 degassing from small streams remains a major was as terrestrially-respired CO2 dissolved within soils, over 90% of which evaded to the atmosphere within headwater
Nuclear talks in Austria International representatives will meet in Vienna on Saturday to discuss a
Nuclear talks in Austria International representatives will meet in Vienna on Saturday to discuss a controversial nuclear fusion plan. The technical meeting of experts is intended to pave the way of nuclear fusion say it provides an attractive long-term energy option, because the basic materials needed
DO GLOBAL WARMING AND CLIMATE CHANGE REPRESENT A SERIOUS THREAT TO OUR WELFARE
DO GLOBAL WARMING AND CLIMATE CHANGE REPRESENT A SERIOUS THREAT TO OUR WELFARE AND ENVIRONMENT? By Michael E. Mann I. Introduction The subjects of "global warming" and "climate change" have become parts of both the popular lexicon and the public discourse. Discussions of global warming often evoke passionate
Xu, Wei; Sun, Xin; Li, Dongsheng; Ryu, Seun; Khaleel, Mohammad A.
2013-02-01T23:59:59.000Z
Quantitative understanding of the evolving thermal-mechanical properties of a multi-phase material hinges upon the availability of quantitative statistically representative microstructure descriptions. Questions then arise as to whether a two-dimensional (2D) or a three-dimensional (3D) representative volume element (RVE) should be considered as the statistically representative microstructure. Although 3D models are more representative than 2D models in general, they are usually computationally expensive and difficult to be reconstructed. In this paper, we evaluate the accuracy of a 2D RVE in predicting the property degradations induced by different degradation mechanisms with the multiphase solid oxide fuel cell (SOFC) anode material as an example. Both 2D and 3D microstructure RVEs of the anodes are adopted to quantify the effects of two different degradation mechanisms: humidity-induced electrochemical degradation and phosphorus poisoning induced structural degradation. The predictions of the 2D model are then compared with the available experimental measurements and the results from the 3D model. It is found that the 2D model, limited by its inability of reproducing the realistic electrical percolation, is unable to accurately predict the degradation of thermo-electrical properties. On the other hand, for the phosphorus poisoning induced structural degradation, both 2D and 3D microstructures yield similar results, indicating that the 2D model is capable of providing computationally efficient yet accurate results for studying the structural degradation within the anodes.
Representing and Utilizing Changing Historical Places as an Ontology Time Series
Hyvönen, Eero
Chapter 1 Representing and Utilizing Changing Historical Places as an Ontology Time Series Eero Hyv.g. Check Republic or Slo- vakia) or overlapping historic names of different times (e.g. Roman Empire interfaces. The system has been applied in the semantic cultural heritage portal CULTURESAMPO for semantic
Liu, Taosheng
MICHIGAN STATE UNIVERSITY · DEPARTMENT OF PSYCHOLOGY Come join us and representatives from School of Professional PSY - PsyD University of Michigan MSW & MPH Western Michigan University - MA MSU the following Universities and Professional Schools to learn about their graduate programs, admission
Hall, Sharon J.
INTRODUCTIONINTRODUCTION Residential landscapes represent a large percentage of urban land cover to residential landscapes, we propose a conceptual model that integrates socioeconomic factors that influence, and socioeconomic factors: Exploring the relationships in a residential landscape. Susannah B. Lerman1 and Paige S
Clemson's Logo System Any mark that is intended to represent Clemson University is the prop-
Stuart, Steven J.
15 3 Clemson's Logo System Any mark that is intended to represent Clemson University is the prop guidelines will be evaluated on a case-by-case basis. Logos at this level must contain a wordmark or Tiger five marks preferably use level one logos (masterbrand symbols), brand fonts and Clemson Orange
Southampton, University of
Patterns for Representing FMEA in Formal Specification of Control Systems Ilya Lopatkin, Alexei, Finland {Yuliya.Prokhorova, Elena.Troubitsyna}@abo.fi Abstract -- Failure Modes and Effects analysis (FMEA) is a widely used technique for inductive safety analysis. FMEA provides engineers with valuable information
Using Stochastically Generated Subcolumns to Represent Cloud Structure in a Large-Scale Model
Robert, Pincus
condensate amount and cloud fraction, has about the same effect on radiative fluxes as does the ad hoc tuning for representing cloud structure in instantaneous calculations and long-term integrations. Shortwave radiation accounting for this effect in the operational radiation scheme. Long simulations with the new model
Two standard methods for solving the Ito equation
Alvaro Salas Salas
2008-05-21T23:59:59.000Z
In this paper we show some exact solutions for the Ito equation. These solutions are obtained by two methods: the tanh method and the projective Riccati equation method.
Active-space completely-renormalized equation-of-motioncoupled...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
space completely-renormalized equation-of-motion coupled-clusterformalism: Excited-state studies of green fluorescent Active-space completely-renormalized equation-of-motion...
A Method of Solving Certain Nonlinear Diophantine Equations
Florentin Smarandache
2009-10-12T23:59:59.000Z
In this paper we propose a method of solving a Nonlinear Diophantine Equation by converting it into a System of Diophantine Linear Equations.
Electrolux Gibson Air Conditioner and Equator Clothes Washer...
Broader source: Energy.gov (indexed) [DOE]
Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE Energy Star Testing Electrolux Gibson Air Conditioner and Equator Clothes Washer Fail DOE Energy Star Testing...
approximate kinetic equations: Topics by E-print Network
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
is unbounded. As example, we study the Fokker Planck equation where eqilibrium. Keywords. maximum entropy, moment methods, Fokker-Planck equation, exact solution, Grad expansion of...
2012-01-01T23:59:59.000Z
appropriate source of representative controls? Baik et al.an appropriate source of representative controls? Sonya Baikattending four representative local health facilities in the
Boyd formerly Ritsher, Jennifer E; Katz, Emerald P; Link, Bruce G; Phelan, Jo C
2009-01-01T23:59:59.000Z
ill: results of representative surveys in the Federala model using data from a representative population survey.illness, in a nationally representative sample Jennifer E.
Boyd, Jennifer E.; Katz, Emerald P.; Link, Bruce G.; Phelan, Jo C.
2010-01-01T23:59:59.000Z
ill: results of representative surveys in the Federala model using data from a representative population survey.illness, in a nationally representative sample Jennifer E.
Golomb, B. A; Chan, V. T; Evans, M. A; Koperski, S.; White, H. L; Criqui, M. H
2012-01-01T23:59:59.000Z
participants more non-representative? A cross-sectionalparticipants more non-representative? A cross-sectionalusing a national representative longitudinal survey. J
Montagu, Dominic; Sudhinaraset, May; Lwin, Thandar; Onozaki, Ikushi; Win, Zaw; Aung, Tin
2013-01-01T23:59:59.000Z
data and a nationally representative TB prevalence survey.data and a nationally representative TB prevalence surveys first nationally representative TB prevalence study
Note: This syllabus may represent a past offering of this course and future course offerings may;Note: This syllabus may represent a past offering of this course and future course offerings may differ
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Note: This syllabus may represent a past offering of this course and future course offerings may is a part of your class grade and that it includes many components. #12;Note: This syllabus may represent
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Amin, S. Massoud
for Civil Service and Union-Represented Staff at http://www.policy.umn.edu/Policies/hr/Leaves/VACATIONDONATION.html and corresponding Procedure: Requesting/Donating Paid Leave for Civil Service/Union-Represented Staff at http
Note: This syllabus may represent a past offering of this course and future course offerings may Course Schedule: MW, 1:30-3:20pm; or TTh, 10:30am-12:20pm *DISCLAIMER: This syllabus represents computational thinking, including: #12;Note: This syllabus may represent a past offering of this course
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Note: This syllabus may represent a past offering of this course and future course offerings may Tuesday Introduction to course Introduction to user assistance (UA) #12;Note: This syllabus may represent: This syllabus may represent a past offering of this course and future course offerings may differ. Thursday
Note: This syllabus may represent a past offering of this course and future course offerings may: This syllabus may represent a past offering of this course and future course offerings may differ. Course to Seidman, pp.7Â14, Weiss, Chap.1 -- #12;Note: This syllabus may represent a past offering of this course
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Putative Zinc Finger Protein Binding Sites Are Over- Represented in the Boundaries of Methylation that there are several over-represented putative Transcription Factor Binding Sites (TFBSs) in methylation-resistant CpG islands, and a specific group of zinc finger protein binding sites are over-represented in boundary
Fitelson, Branden
Chapter 2 Representing Uncertainty Do not expect to arrive at certainty in every subject which you best light and reasoning will reach no farther. --Isaac Watts How should uncertainty be represented in this chapter, I discuss some other difficulties that probability has in representing uncertainty
Instructions concerning the strdent's representative-learning process being run perfectly,it was decided that a student should be chosen to represent all students in a class to words the teacher of the course . 2- The aim of choosing a representative . This procedure aims
Notes on representing grain size distributions obtained by electron backscatter diffraction
Toth, Laszlo S., E-mail: laszlo.metz@univ-lorraine.fr [Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), UMR 7239, CNRS/Université de Lorraine, F-57045 Metz (France); Laboratory of Excellence on Design of Alloy Metals for low-mAss Structures (DAMAS), Université de Lorraine (France); Biswas, Somjeet, E-mail: somjeetbiswas@gmail.com [Laboratory of Excellence on Design of Alloy Metals for low-mAss Structures (DAMAS), Université de Lorraine (France); Gu, Chengfan, E-mail: chengfan.gu@unsw.edu.au [School of Materials Science and Engineering, The University of New South Wales, Sydney, NSW 2052 (Australia); Beausir, Benoit, E-mail: benoit.beausir@univ-lorraine.fr [Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), UMR 7239, CNRS/Université de Lorraine, F-57045 Metz (France); Laboratory of Excellence on Design of Alloy Metals for low-mAss Structures (DAMAS), Université de Lorraine (France)
2013-10-15T23:59:59.000Z
Grain size distributions measured by electron backscatter diffraction are commonly represented by histograms using either number or area fraction definitions. It is shown here that they should be presented in forms of density distribution functions for direct quantitative comparisons between different measurements. Here we make an interpretation of the frequently seen parabolic tales of the area distributions of bimodal grain structures and a transformation formula between the two distributions are given in this paper. - Highlights: • Grain size distributions are represented by density functions. • The parabolic tales corresponds to equal number of grains in a bin of the histogram. • A simple transformation formula is given to number and area weighed distributions. • The particularities of uniform and lognormal distributions are examined.
QBism and the Greeks: why a quantum state does not represent an element of physical reality
Christopher A. Fuchs; Ruediger Schack
2015-05-11T23:59:59.000Z
In QBism (or Quantum Bayesianism) a quantum state does not represent an element of physical reality but an agent's personal probability assignments, reflecting his subjective degrees of belief about the future content of his experience. In this paper, we contrast QBism with hidden-variable accounts of quantum mechanics and show the sense in which QBism explains quantum correlations. QBism's agent-centered worldview can be seen as a development of ideas expressed in Schr\\"odinger's essay "Nature and the Greeks".
REPRESENTING AEROSOL DYNAMICS AND PROPERTIES IN CHEMICAL TRANSPORT MODELS BY THE METHOD OF MOMENTS.
SCHWARTZ,S.E.; MCGRAW,R.; BENKOVITZ,C.M.; WRIGHT,D.L.
2001-04-01T23:59:59.000Z
Atmospheric aerosols, suspensions of solid or liquid particles, are an important multi-phase system. Aerosols scatter and absorb shortwave (solar) radiation, affecting climate (Charlson et al., 1992; Schwartz, 1996) and visibility; nucleate cloud droplet formation, modifying the reflectivity of clouds (Twomey et al., 1984; Schwartz and Slingo, 1996) as well as contributing to composition of cloudwater and to wet deposition (Seinfeld and Pandis, 1998); and affect human health through inhalation (NRC, 1998). Existing and prospective air quality regulations impose standards on concentrations of atmospheric aerosols to protect human health and welfare (EPA, 1998). Chemical transport and transformation models representing the loading and geographical distribution of aerosols and precursor gases are needed to permit development of effective and efficient strategies for meeting air quality standards, and for examining aerosol effects on climate retrospectively and prospectively for different emissions scenarios. Important aerosol properties and processes depend on their size distribution: light scattering, cloud nucleating properties, dry deposition, and penetration into airways of lungs. The evolution of the mass loading itself depends on particle size because of the size dependence of growth and removal processes. For these reasons it is increasingly recognized that chemical transport and transformation models must represent not just the mass loading of atmospheric particulate matter but also the aerosol microphysical properties and the evolution of these properties if aerosols are to be accurately represented in these models. If the size distribution of the aerosol is known, a given property can be evaluated as the integral of the appropriate kernel function over the size distribution. This has motivated the approach of determining aerosol size distribution, and of explicitly representing this distribution and its evolution in chemical transport models.
Karczewska, Anna; Infeld, Eryk
2015-01-01T23:59:59.000Z
It is well known that the KdV equation has an infinite set of conserved quantities. The first three are often considered to represent mass, momentum and energy. Here we try to answer the question of how this comes about, and also how these KdV quantities relate to those of the Euler shallow water equation. Here Luke's Lagrangian is helpful. We also consider higher order extensions of KdV. Though in general not integrable, in some sense they are almost so.
Charles Laverty
2005-10-01T23:59:59.000Z
UNIPROCESSOR PERFORMANCE ANALYSIS OF A REPRESENTATIVE WORKLOAD OF SANDIA NATIONAL LABORATORIES' SCIENTIFIC APPLICATIONS Master of Science in Electrical Engineering New Mexico State University Las Cruces, New Mexico, 2005 Dr. Jeanine Cook, Chair Throughout the last decade computer performance analysis has become absolutely necessary to maximum performance of some workloads. Sandia National Laboratories (SNL) located in Albuquerque, New Mexico is no different in that to achieve maximum performance of large scientific, parallel workloads performance analysis is needed at the uni-processor level. A representative workload has been chosen as the basis of a computer performance study to determine optimal processor characteristics in order to better specify the next generation of supercomputers. Cube3, a finite element test problem developed at SNL is a representative workload of their scientific workloads. This workload has been studied at the uni-processor level to understand characteristics in the microarchitecture that will lead to the overall performance improvement at the multi-processor level. The goal of studying vthis workload at the uni-processor level is to build a performance prediction model that will be integrated into a multi-processor performance model which is currently being developed at SNL. Through the use of performance counters on the Itanium 2 microarchitecture, performance statistics are studied to determine bottlenecks in the microarchitecture and/or changes in the application code that will maximize performance. From source code analysis a performance degrading loop kernel was identified and through the use of compiler optimizations a performance gain of around 20% was achieved.
100% MOX BWR experimental program design using multi-parameter representative
Blaise, P.; Fougeras, P.; Cathalau, S. [CEA, DEN, DER/SPRC, Cadarache F-13108 Saint Paul-Lez-Durance (France)
2012-07-01T23:59:59.000Z
A new multiparameter representative approach for the design of Advanced full MOX BWR core physics experimental programs is developed. The approach is based on sensitivity analysis of integral parameters to nuclear data, and correlations among different integral parameters. The representativeness method is here used to extract a quantitative relationship between a particular integral response of an experimental mock-up and the same response in a reference project to be designed. The study is applied to the design of the 100% MOX BASALA ABWR experimental program in the EOLE facility. The adopted scheme proposes an original approach to the problem, going from the initial 'microscopic' pin-cells integral parameters to the whole 'macroscopic' assembly integral parameters. This approach enables to collect complementary information necessary to optimize the initial design and to meet target accuracy on the integral parameters to be measured. The study has demonstrated the necessity of new fuel pins fabrication, fulfilling minimal costs requirements, to meet acceptable representativeness on local power distribution. (authors)
TOMASZEWSKI, T.A.
2003-03-21T23:59:59.000Z
This technical basis document was developed to support the Tank Farms Documented Safety Analysis (DSA), and describes the risk binning process and the technical basis for assigning risk bins for the handling and movement of tank farm waste sample containers, and mixed, low-level, and hazardous operational waste containers incidental to onsite vehicle transportation representative accident and associated hazardous conditions. The purpose of the risk binning process is to determine the need for safety-significant structures, systems, and components (SSC) and technical safety requirement (TSR)-level controls for a given representative accident or represented hazardous conditions based on an evaluation of the frequency and consequence. Note that the risk binning process is not applied to facility workers because all facility worker hazardous conditions are considered for safety-significant SSCs and/or TSR-level controls. See RPP-14286, Facility Worker Technical Basis Document, for these considerations. Determination of the need for safety-class SSCs was performed in accordance with DOE-STD-3009-94, Preparation Guide for US. Department of Energy Nonreactor Nuclear Facility Documented Safety Analyses, as described in this report.
6. CONSTITUTIVE EQUATIONS 6.1 The need for constitutive equations
Cerveny, Vlastislav
6. CONSTITUTIVE EQUATIONS 6.1 The need for constitutive equations Basic principles of continuum mechanics, namely, conservation of mass, balance of momenta, and conservation of energy, discussed, three for linear momentum and one for energy) for 15 unknown field variables, namely, Â· mass density
Fourier transform of the 3d NS equations The 3d NS equations are
Salmon, Rick
1 Fourier transform of the 3d NS equations The 3d NS equations are (1) vi t + vj vi xj = - p xi easily add it in at the end. Our interest is in the advection and pressure terms. Introducing the Fourier transforms (2) vi x( ) = ui k( )eikx k p x( ) = p k( )eikx k we obtain the Fourier transform of (1
Measuring the dark matter equation of state
Serra, Ana Laura
2011-01-01T23:59:59.000Z
The nature of the dominant component of galaxies and clusters remains unknown. While the astrophysics comunity supports the cold dark matter (CDM) paradigm as a clue factor in the current cosmological model, no direct CDM detections have been performed. Faber and Visser 2006 have suggested a simple method for measuring the dark matter equation of state. By combining kinematical and gravitational lensing data it is possible to test the widely adopted assumption of pressureless dark matter. According to this formalism, we have measured the dark matter equation of state for first time using improved techniques. We have found that the value of the equation of state parameter is consistent with pressureless dark matter within the errors. Nevertheless the measured value is lower than expected. This fact follows from the well known differences between the masses determinated by lensing and kinematical methods. We have tested our techniques using simulations and we have also analyzed possible sources of errors that c...
QCD evolution equations from conformal symmetry
V. M. Braun; A. N. Manashov
2014-08-28T23:59:59.000Z
QCD evolution equations in $\\text{MS}$-like schemes can be recovered from the same equations in a modified theory, QCD in non-integer $d=4-2\\epsilon$ dimensions, which enjoys exact scale and conformal invariance at the critical point. Restrictions imposed by the conformal symmetry of the modified theory allow one to obtain complete evolution kernels in integer (physical) dimensions at the given order of perturbation theory from the spectrum of anomalous dimensions added by the calculation of the special conformal anomaly at one order less. We use this technique to derive two-loop evolution equations for flavor-nonsinglet quark-antiquark light-ray operators that encode the scale dependence of generalized hadron parton distributions.
Deriving the Gross-Pitaevskii equation
Niels Benedikter
2014-04-17T23:59:59.000Z
In experiments, Bose-Einstein condensates are prepared by cooling a dilute Bose gas in a trap. After the phase transition has been reached, the trap is switched off and the evolution of the condensate observed. The evolution is macroscopically described by the Gross-Pitaevskii equation. On the microscopic level, the dynamics of Bose gases are described by the $N$-body Schr\\"odinger equation. We review our article [BdS12] in which we construct a class of initial data in Fock space which are energetically close to the ground state and prove that their evolution approximately follows the Gross-Pitaevskii equation. The key idea is to model two-particle correlations with a Bogoliubov transformation.
Generalized equation of state for dark energy
Barboza, E. M. Jr.; Alcaniz, J. S. [Observatorio Nacional, 20921-400, Rio de Janeiro - RJ (Brazil); Zhu, Z.-H. [Department of Astronomy, Beijing Normal University, Beijing 100875 (China); Silva, R. [Departamento de Fisica, Universidade Federal do Rio Grande do Norte, 59072-970 Natal - RN (Brazil); Departamento de Fisica, Universidade do Estado do Rio Grande do Norte, 59610-210, Mossoro - RN (Brazil)
2009-08-15T23:59:59.000Z
A generalized parametrization w{sub {beta}}(z) for the dark energy equation of state is proposed and some of its cosmological consequences are investigated. We show that in the limit of the characteristic dimensionless parameter {beta}{yields}+1, 0 and -1 some well-known equation of state parametrizations are fully recovered whereas for other values of {beta} the proposed parametrization admits a wider and new range of cosmological solutions. We also discuss possible constraints on the w{sub {beta}}(z) parameters from current observational data.
Multiverse rate equation including bubble collisions
Michael P. Salem
2013-02-19T23:59:59.000Z
The volume fractions of vacua in an eternally inflating multiverse are described by a coarse-grain rate equation, which accounts for volume expansion and vacuum transitions via bubble formation. We generalize the rate equation to account for bubble collisions, including the possibility of classical transitions. Classical transitions can modify the details of the hierarchical structure among the volume fractions, with potential implications for the staggering and Boltzmann-brain issues. Whether or not our vacuum is likely to have been established by a classical transition depends on the detailed relationships among transition rates in the landscape.
Changing the Equation in STEM Education
Broader source: Energy.gov [DOE]
Editor's Note: This is a cross post of an announcement that the White House featured on its blog last week. Check out the video below for Secretary Chu's thoughts on how an education in math and science helps students understand the world and deal with the pressing issues of our time. Today, President Obama announced the launch of Change the Equation, a CEO-led effort to dramatically improve education in science, technology, engineering, and math (STEM), as part of his “Educate to Innovate” campaign. Change the Equation is a non-profit organization dedicated to mobilizing the business community to improve the quality of STEM education in the United States.
Gribov gap equation at finite temperature
Fabrizio Canfora; Pablo Pais; Patricio Salgado-Rebolledo
2014-06-05T23:59:59.000Z
In this paper the Gribov gap equation at finite temperature is analyzed. The solutions of the gap equation (which depend explicitly on the temperature) determine the structure of the gluon propagator within the semi-classical Gribov approach. The present analysis is consistent with the standard confinement scenario for low temperatures, while for high enough temperatures, deconfinement takes place and a free gluon propagator is obtained. It also suggests the presence of the so-called semi-quark-gluon-plasma phase in between the confined and quark-gluon plasma phases.
Effective equations for GFT condensates from fidelity
Lorenzo Sindoni
2014-08-13T23:59:59.000Z
The derivation of effective equations for group field theories is discussed from a variational point of view, with the action being determined by the fidelity of the trial state with respect to the exact state. It is shown how the maximisation procedure with respect to the parameters of the trial state lead to the expected equations, in the case of simple condensates. Furthermore, we show that the second functional derivative of the fidelity gives a compact way to estimate, within the effective theory itself, the limits of its validity. The generalisation can be extended to include the Nakajima--Zwanzig projection method for general mixed trial states.
Energy-Momentum Distribution in Weyl Metrics
M. Sharif; Tasnim Fatima
2005-07-16T23:59:59.000Z
In this paper, we evaluate energy and momentum density distributions for the Weyl metric by using the well-known prescriptions of Einstein, Landau-Lifshitz, Papaterou and M$\\ddot{o}$ller. The metric under consideration is the static axisymmetric vacuum solution to the Einstein field equations and one of the field equations represents the Laplace equation. Curzon metric is the special case of this spacetime. We find that the energy density is different for each prescription. However, momentum turns out to be constant in each case.
On Process Equivalence = Equation Solving in CCS
Bundy, Alan; Monroy, Raul; Green, Ian
turned into equation solving (Lin 1995a). Existing tools for this proof task, such as VPAM (Lin 1993), are highly interactive. We introduce a method that automates the use of UFI. The method uses middle-out reasoning (Bundy et al. 1990a) and, so, is able...
SUBELLIPTIC ESTIMATES FOR FULLY NONLINEAR EQUATIONS ...
In a Carnot group G there is an interesting class of equations related to ( 1.1 ) , and ..... interesting four-dimensional group of step 7 = 3, the cycle of — ngel group. ... function is alsopÀ -convex, the more delicate reverse implication has been.
The Kinematic Algebras from the Scattering Equations
Monteiro, Ricardo
2013-01-01T23:59:59.000Z
We study kinematic algebras associated to the recently proposed scattering equations, which arise in the description of the scattering of massless particles. In particular, we describe the role that these algebras play in the BCJ duality between colour and kinematics in gauge theory, and its relation to gravity. We find that the scattering equations are a consistency condition for a self-dual-type vertex which is associated to each solution of those equations. We also identify an extension of the anti-self-dual vertex, such that the two vertices are not conjugate in general. Both vertices correspond to the structure constants of Lie algebras. We give a prescription for the use of the generators of these Lie algebras in trivalent graphs that leads to a natural set of BCJ numerators. In particular, we write BCJ numerators for each contribution to the amplitude associated to a solution of the scattering equations. This leads to a decomposition of the determinant of a certain kinematic matrix, which appears natur...
Grad-Shafranov equation with anisotropic pressure
V. S. Beskin; I. V. Kuznetsova
2000-04-16T23:59:59.000Z
The most general form of the nonrelativistic Grad-Shafranov equation describing anisotropic pressure effects is formulated within the double adiabatic approximation. It gives a possibility to analyze quantitatively how the anisotropic pressure affects the 2D structure of the ideal magnetohydrodynamical flows.
Thermodynamics of viscoelastic fluids: the temperature equation.
Wapperom, Peter
Thermodynamics of viscoelastic fluids: the temperature equation. Peter Wapperom Martien A. Hulsen and Hydrodynamics Rotterdamseweg 145 2628 AL Delft (The Netherlands) Abstract From the thermodynamics with internal. The well- known stress differential models that fit into the thermodynamic theory will be treated
SYSTEMS OF FUNCTIONAL EQUATIONS MICHAEL DRMOTA
Drmota, Michael
of planted plane trees. Hence the corresponding generating function y(x) satis#12;es the functional equation the asymptotic properties of the coeÃ?cients of generating functions which satisfy a system of functional a recursive description then the generating function y(x) = P o2Y x joj = P n#21;0 yn x n satis#12;es
Inverse Problems for Fractional Diffusion Equations
Zuo, Lihua
2013-06-21T23:59:59.000Z
and preliminaries in Section 1 and 2, in the third section we consider our first inverse boundary problem. This is where an unknown boundary condition is to be determined from overposed data in a time- fractional diffusion equation. Based upon the fundamental...
Wave function derivation of the JIMWLK equation
Alexey V. Popov
2008-12-16T23:59:59.000Z
Using the stationary lightcone perturbation theory, we propose the complete and careful derivation the JIMWLK equation. We show that the rigorous treatment requires the knowledge of a boosted wave function with second order accuracy. Previous wave function approaches are incomplete and implicitly used the time ordered perturbation theory, which requires a usage of an external target field.
Spectral equivalences from Bethe Ansatz equations
Dorey, P; Tateo, R; Dorey, Patrick; Dunning, Clare; Tateo, Roberto
2001-01-01T23:59:59.000Z
The one-dimensional Schr\\"odinger equation for the potential $x^6+\\alpha x^2 +l(l+1)/x^2$ has many interesting properties. For certain values of the parameters l and alpha the equation is in turn supersymmetric (Witten), quasi-exactly solvable (Turbiner), and it also appears in Lipatov's approach to high energy QCD. In this paper we signal some further curious features of these theories, namely novel spectral equivalences with particular second- and third-order differential equations. These relationships are obtained via a recently-observed connection between the theories of ordinary differential equations and integrable models. Generalised supersymmetry transformations acting at the quasi-exactly solvable points are also pointed out, and an efficient numerical procedure for the study of these and related problems is described. Finally we generalise slightly and then prove a conjecture due to Bessis, Zinn-Justin, Bender and Boettcher, concerning the reality of the spectra of certain PT-symmetric quantum-mecha...
Pointwise Fourier Inversion: a Wave Equation Approach
Pointwise Fourier Inversion: a Wave Equation Approach Mark A. Pinsky1 Michael E. Taylor2. A general criterion for pointwise Fourier inversion 2. Pointwise Fourier inversion on Rn (n = 3) 3. Fourier inversion on R2 4. Fourier inversion on Rn (general n) 5. Fourier inversion on spheres 6. Fourier inversion
Pointwise Fourier Inversion: a Wave Equation Approach
Pointwise Fourier Inversion: a Wave Equation Approach Mark A. Pinsky 1 Michael E. Taylor 2. A general criterion for pointwise Fourier inversion 2. Pointwise Fourier inversion on R n (n = 3) 3. Fourier inversion on R 2 4. Fourier inversion on R n (general n) 5. Fourier inversion on spheres 6. Fourier
Effective Evolution Equations from Quantum Dynamics
Niels Benedikter; Marcello Porta; Benjamin Schlein
2015-02-09T23:59:59.000Z
In these notes we review the material presented at the summer school on "Mathematical Physics, Analysis and Stochastics" held at the University of Heidelberg in July 2014. We consider the time-evolution of quantum systems and in particular the rigorous derivation of effective equations approximating the many-body Schr\\"odinger dynamics in certain physically interesting regimes.
Evolution equations in QCD and QED
M. Slawinska
2008-05-12T23:59:59.000Z
Evolution equations of YFS and DGLAP types in leading order are considered. They are compared in terms of mathematical properties and solutions. In particular, it is discussed how the properties of evolution kernels affect solutions. Finally, comparison of solutions obtained numerically are presented.
Mathematical analysis for fractional diffusion equations: forward
Boyer, Franck
or dumping WasteGroundwater flow Base rock Underground storage Soil gapsmicro scale about 100m Field: macro-Diffusion equation Result of Field Test (Adams& Gelhar, 1992) t0 t1 t2 t3 t0 Pollution source Model Prediction Univ. #12;· Determination of contamination source t u = u + F We need detailed mathematical researches
Meromorphic solutions of algebraic differential equations
2005-10-13T23:59:59.000Z
function we mean one that is meromorphic in C. We always use ? to denote .... In § §3 and 4 we give a new proof and a ..... F(y', y, z) = 0 can be regarded as the equation of a family of curves depending on the parameter z. ...... Atomic Energy Agency, Vienna 1976. MR 58 .... Low temperature Physical-technical Institute of the.
United States. Bonneville Power Administration.
1993-07-01T23:59:59.000Z
This guide outlines the duties of BPA personnel designated as Contracting Officers Technical Representatives (COTRs). The BPA Administrator gives contracting officers (COs) in BPA responsibility and authority for awarding and administering contracts. COs are authorized to designate other BPA employees to act as their representatives for purposes of contract administration, from the time of contract award until final receipt and acceptance of the contracted services. COTRs are the individuals primarily relied upon to perform technical contract administration functions. Similar functions for supply and construction contracts are performed by engineering representatives, construction inspectors, and inspectors. Although this Guide is written primarily with the COTR in mind, the concept and operation of teamwork is essential throughout the entire process of contract administration. The CO administers the contract during performance, but rarely has expertise in all of the relevant technical areas. Therefore, CO decisions rely on input from a team. The COTR is an indispensable member of that team. The instructions in this Guide are designed to facilitate this essential CO-COTR cooperation. COTR duties are usually additional to those required of the COTR in his or her assigned line organization. The COTR is still accountable to the line supervisor for performance of regularly-assigned duties. These duties are to be reflected appropriately in performance appraisals and job descriptions. For contract administration duties, however, the COTR reports directly to, and is accountable only to, the CO. The COTR`s supervisor must allow sufficient time to ensure that the COTR can adequately monitor the contract for technical compliance. This Guide is designed for COTRs who are performing service contract (including intergovernmental contract) administration functions as an adjunct to their normal technical duties.
Solution of the Two-Dimensional Time-Dependent Schroedinger Equation Applied to Nuclear Proton Decay
Rizea, M. [National Institute of Physics and Nuclear Engineering, 'Horia Hulubei', PO Box MG-6, Bucharest (Romania); Carjan, N. [Centre d'Etudes Nucleaires de Bordeaux-Gradignan, UMR 5797, CNRS/IN2P3-Universite Bordeaux 1, BP 120, 33175 Gradignan Cedex (France)
2009-09-09T23:59:59.000Z
A rigorous approach to study the temporal evolution of physical processes is to follow the development in time of a given initial state, by numerically solving the time-dependent Schroedinger equation. This represents a natural modeling of the dynamical behaviour. We considered the equation in two spatial coordinates, to describe deformed nuclear shapes. The Hamiltonian is discretized by special, functionally fitted difference formulae of the derivatives and then a Crank-Nicolson scheme is applied. The resulting linear system with large sparse matrix is solved by a variant of Conjugate Gradient Method. The numerical solution has been used to the description of the proton decay. We also discuss the treatment of numerical boundary conditions, the preparation of the initial wavefunction and the calculation of the decay rate through the flux.
Thermal light cannot be represented as a statistical mixture of pulses
Aurélia Chenu; Agata M. Bra?czyk; Gregory D. Scholes; J. E. Sipe
2014-11-28T23:59:59.000Z
We ask whether or not thermal light can be represented as a mixture of single broadband coherent pulses. We find that it cannot. Such a mixture of pulses is simply not rich enough to mimic thermal light; indeed, it cannot even reproduce the first-order correlation function. We show that it is possible to construct a modified mixture of single coherent pulses that does yield the correct first-order correlation function at equal space points. However, as we then demonstrate, such a mixture cannot reproduce the second-order correlation function.
A. Botvina; G. Chaudhuri; S. Das Gupta; I. Mishustin
2008-05-22T23:59:59.000Z
The statistical multifragmentation model (SMM) has been widely used to explain experimental data of intermediate energy heavy ion collisions. A later entrant in the field is the canonical thermodynamic model (CTM) which is also being used to fit experimental data. The basic physics of both the models is the same, namely that fragments are produced according to their statistical weights in the available phase space. However, they are based on different statistical ensembles, and the methods of calculation are different: while the SMM uses Monte-Carlo simulations, the CTM solves recursion relations. In this paper we compare the predictions of the two models for a few representative cases.
Sampling device for withdrawing a representative sample from single and multi-phase flows
Apley, Walter J. (Pasco, WA); Cliff, William C. (Richland, WA); Creer, James M. (Richland, WA)
1984-01-01T23:59:59.000Z
A fluid stream sampling device has been developed for the purpose of obtaining a representative sample from a single or multi-phase fluid flow. This objective is carried out by means of a probe which may be inserted into the fluid stream. Individual samples are withdrawn from the fluid flow by sampling ports with particular spacings, and the sampling parts are coupled to various analytical systems for characterization of the physical, thermal, and chemical properties of the fluid flow as a whole and also individually.
Fact #734: July 2, 2012 OPEC Countries Represent Less Than Half of U.S.
Office of Energy Efficiency and Renewable Energy (EERE) 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 DataDepartment of Energy Your Density Isn't YourTransport in RepresentativeDepartment ofDepartment ofof Energy 1:Petroleum Imports |
Percent of Industrial Natural Gas Deliveries in Florida Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresented by thePrice
Percent of Industrial Natural Gas Deliveries in Florida Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresented by
Percent of Industrial Natural Gas Deliveries in Georgia Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresented byPrice
Percent of Industrial Natural Gas Deliveries in Georgia Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresented byPricePrice
Percent of Industrial Natural Gas Deliveries in Hawaii Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresented
Percent of Industrial Natural Gas Deliveries in Hawaii Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresentedPrice
Percent of Industrial Natural Gas Deliveries in Idaho Represented by the
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: Alternative1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level: National5 Tables July 1996 Energy Information Administration Office ofthroughYear Jan Feb Mar AprYear Jan Feb MarbyPriceRepresentedPricePrice
Paris-Sud XI, UniversitÃ© de
and theorem. The only aspect of the theory not mentioned above is the balance equation. The balance equation], the corresponding theory was introduced for balance laws of real valued properties (such as mass). Here, the theory is extended to forces valued in the dual of a vector bundle W over an m-dimensional material manifold S . Thus
Multiple solutions of coupled-cluster equations for PPP model of [10]annulene
Podeszwa, R
2002-01-01T23:59:59.000Z
Multiple (real) solutions of the CC equations (corresponding to the CCD, ACP and ACPQ methods) are studied for the PPP model of [10]annulene, C_{10}H_{10}. The long-range electrostatic interactions are represented either by the Mataga--Nishimoto potential, or Pople's R^{-1} potential. The multiple solutions are obtained in a quasi-random manner, by generating a pool of starting amplitudes and applying a standard CC iterative procedure combined with Pulay's DIIS method. Several unexpected features of these solutions are uncovered, including the switching between two CCD solutions when moving between the weakly and strongly correlated regime of the PPP model with Pople's potential.
Pocket formation and the flame surface density equation
Kollman, W. [Univ. of California, Davis, CA (United States); Chen, J.H. [Sandia National Labs., Livermore, CA (United States). Combustion Research Facility
1998-03-01T23:59:59.000Z
The occurrence and properties of singularities in the equation for the surface density function {sigma} {triple_bond}{vert_bar}{del}{Phi}{vert_bar} are analyzed analytically and numerically using data from two dimensional direct numerical simulation (DNS) of pocket formation in a premixed methane-air flame. The various stages and the relevant time scales associated with pocket formation were determined in a previous study. It was found that isolated pockets form if and only if a nondegenerate critical point of a saddle point type appears. The appearance of a singularity in the isoline representing the flame front may have implications to modeling of the terms in the surface density function (sdf) approach during such transient events as pocket formation. The sink and source terms in sdf are evaluated in the neighborhood of a critical point using DNS data during pocket formation, and an analytic representation of a scalar in the vicinity of the critical point which allows for the computation of all kinematic properties. The analytic and computational results show that the normal restoration and dissipation terms in the sdf become singular at the critical point when the pocket emerges. Furthermore, the analytic results show that the singularities exactly cancel, and therefore, the main conclusion is that it is unnecessary to model the singular behavior of these terms at critical points. However, closure of their sum is recommended.
Quasi Regular Polyhedra and Their Duals with Coxeter Symmetries Represented by Quaternions II
Mehmet Koca; Mudhahir Al Ajmi; Saleh Al- Shidhani
2010-06-15T23:59:59.000Z
In this paper we construct the quasi regular polyhedra and their duals which are the generalizations of the Archimedean and Catalan solids respectively. This work is an extension of two previous papers of ours which were based on the Archimedean and Catalan solids obtained as the orbits of the Coxeter groups . When these groups act on an arbitrary vector in 3D Euclidean space they generate the orbits corresponding to the quasi regular polyhedra. Special choices of the vectors lead to the platonic and Archimedean solids. In general, the faces of the quasi regular polyhedra consist of the equilateral triangles, squares, regular pentagons as well as rectangles, isogonal hexagons, isogonal octagons, and isogonal decagons depending on the choice of the Coxeter groups of interest. We follow the quaternionic representation of the group elements of the Coxeter groups which necessarily leads to the quaternionic representation of the vertices. We note the fact that the molecule can best be represented by a truncated icosahedron where the hexagonal faces are not regular, rather, they are isogonal hexagons where single bonds and double bonds of the carbon atoms are represented by the alternating edge lengths of isogonal hexagons.
Use of the Richards equation in land surface parameterizations Deborah H. Lee1
equation, and an analytical kinematic wave solution of Richards equation. Comparisons show that depth
Hewett, D.W.; Larson, D.J.; Doss, S. (Lawrence Livermore National Lab., Livermore, CA (United States))
1992-07-01T23:59:59.000Z
We apply a particular version of ADI called Dynamic ADI (DADI) to the strongly coupled 2nd-order partial differential equations that arise from the streamlined Darwin field (SDF) equations. The DADI method a applied in a form that we show is guaranteed to converge to the desired solution of the finite difference equation. We give overviews of our test case, the SDF problem and the DADI method, with some justification for our choice of operator splitting. Finally, we apply DADI to the strongly coupled SDF equations and present the results from our test case. Our implementation requires a factor of 7 less storage and has proven to be a factor of 4 (in the worst case) to several orders of magnitude faster than competing methods. 13 refs., 3 figs., 5 tabs.
E. V. Shiryaeva; M. Yu. Zhukov
2014-10-10T23:59:59.000Z
In paper [S.I. Senashov, A. Yakhno. 2012. SIGMA. Vol.8. 071] the variant of the hodograph method based on the conservation laws for two hyperbolic quasilinear equations of the first order is described. Using these results we propose a method which allows to reduce the Cauchy problem for the two quasilinear PDE's to the Cauchy problem for ODE's. The proposed method is actually some similar method of characteristics for a system of two hyperbolic quasilinear equations. The method can be used effectively in all cases, when the linear hyperbolic equation in partial derivatives of the second order with variable coefficients, resulting from the application of the hodograph method, has an explicit expression for the Riemann-Green function. One of the method's features is the possibility to construct a multi-valued solutions. In this paper we present examples of method application for solving the classical shallow water equations.
Non-equilibrium thermodynamics of gravitational screens
Laurent Freidel; Yuki Yokokura
2014-05-19T23:59:59.000Z
We study the Einstein gravity equations projected on a timelike surface, which represents the time evolution of what we call a gravitational screen. We show that such a screen possesses a surface tension and an internal energy, and that the Einstein equations reduce to the thermodynamic equations of a viscous bubble. We also provide a complete dictionary between gravitational and thermodynamical variables. In the non-viscous cases there are three thermodynamic equations which characterise a bubble dynamics: These are the first law, the Marangoni flow equation and the Young-Laplace equation. In all three equations the surface tension plays a central role: In the first law it appears as a work term per unit area, in the Marangoni flow its gradient drives a force, and in the Young-Laplace equation it contributes to a pressure proportional to the surface curvature. The gravity equations appear as a natural generalization of these bubble equations when the bubble itself is viscous and dynamical. In particular, it shows that the mechanism of entropy production for the viscous bubble is mapped onto the production of gravitational waves. We also review the relationship between surface tension and temperature, and discuss the usual black-hole thermodynamics from this point of view.
Solving Partial Differential Equations on Overlapping Grids
Henshaw, W D
2008-09-22T23:59:59.000Z
We discuss the solution of partial differential equations (PDEs) on overlapping grids. This is a powerful technique for efficiently solving problems in complex, possibly moving, geometry. An overlapping grid consists of a set of structured grids that overlap and cover the computational domain. By allowing the grids to overlap, grids for complex geometries can be more easily constructed. The overlapping grid approach can also be used to remove coordinate singularities by, for example, covering a sphere with two or more patches. We describe the application of the overlapping grid approach to a variety of different problems. These include the solution of incompressible fluid flows with moving and deforming geometry, the solution of high-speed compressible reactive flow with rigid bodies using adaptive mesh refinement (AMR), and the solution of the time-domain Maxwell's equations of electromagnetism.
Geodesic equations and algebro-geometric methods
Hackmann, Eva
2015-01-01T23:59:59.000Z
For an investigation of the physical properties of gravitational fields the observation of massive test particles and light is very useful. The characteristic features of a given space-time may be decoded by studying the complete set of all possible geodesic motions. Such a thorough analysis can be accomplished most effectively by using analytical methods to solve the geodesic equation. In this contribution, the use of elliptic functions and their generalizations for solving the geodesic equation in a wide range of well known space-times, which are part of the general Pleba\\'nski-Demia\\'nski family of solutions, will be presented. In addition, the definition and calculation of observable effects like the perihelion shift will be presented and further applications of the presented methods will be outlined.
Euler's fluid equations: Optimal Control vs Optimization
Darryl D. Holm
2009-09-28T23:59:59.000Z
An optimization method used in image-processing (metamorphosis) is found to imply Euler's equations for incompressible flow of an inviscid fluid, without requiring that the Lagrangian particle labels exactly follow the flow lines of the Eulerian velocity vector field. Thus, an optimal control problem and an optimization problem for incompressible ideal fluid flow both yield the \\emph {same} Euler fluid equations, although their Lagrangian parcel dynamics are \\emph{different}. This is a result of the \\emph{gauge freedom} in the definition of the fluid pressure for an incompressible flow, in combination with the symmetry of fluid dynamics under relabeling of their Lagrangian coordinates. Similar ideas are also illustrated for SO(N) rigid body motion.
Spinning particles and higher spin field equations
Bastianelli, Fiorenzo; Corradini, Olindo; Latini, Emanuele
2015-01-01T23:59:59.000Z
Relativistic particles with higher spin can be described in first quantization using actions with local supersymmetry on the worldline. First, we present a brief review of these actions and their use in first quantization. In a Dirac quantization scheme the field equations emerge as Dirac constraints on the Hilbert space, and we outline how they lead to the description of higher spin fields in terms of the more standard Fronsdal-Labastida equations. Then, we describe how these actions can be extended so that the propagating particle is allowed to take different values of the spin, i.e. carry a reducible representation of the Poincar\\'e group. This way one may identify a four dimensional model that carries the same degrees of freedom of the minimal Vasiliev's interacting higher spin field theory. Extensions to massive particles and to propagation on (A)dS spaces are also briefly commented upon.
Lazaro, M.
1989-06-01T23:59:59.000Z
The US Department of Energy is conducting the Weldon Spring Site Remedial Action Project under the Surplus Facilities Management Program (SFMP). The major goals of the SFMP are to eliminate potential hazards to the public and the environment that associated with contamination at SFMP sites and to make surplus property available for other uses to the extent possible. This report presents the results of analysis of available meteorological data from stations near the Weldon Spring site. Data that are most representative of site conditions are needed to accurately model the transport and dispersion of air pollutants associated with remedial activities. Such modeling will assist the development of mitigative measures. 17 refs., 12 figs., 6 tabs.
Semirelativistic Bound-State Equations: Trivial Considerations
Wolfgang Lucha; Franz F. Schöberl
2014-07-17T23:59:59.000Z
Observing renewed interest in long-standing (semi-) relativistic descriptions of bound states, we would like to make a few comments on the eigenvalue problem posed by the spinless Salpeter equation and, illustrated by the examples of the nonsingular Woods-Saxon potential and the singular Hulth\\'en potential, recall elementary tools that practitioners looking for analytic albeit approximate solutions might find useful in their quest.
Solving the Schrödinger Equation with Power Anharmonicity
Vladimir B. Belyaev; Andrej Babi?
2014-09-17T23:59:59.000Z
We present an application of a nonstandard approximate method---the finite-rank approximation---to solving the time-independent Schr\\"odinger equation for a bound-state problem. The method is illustrated on the example of a three-dimensional isotropic quantum anharmonic oscillator with additive cubic or quartic anharmonicity. Approximate energy eigenvalues are obtained and convergence of the method is discussed.
Generalized bootstrap equations for N=4 SCFT
Luis F. Alday; Agnese Bissi
2014-04-23T23:59:59.000Z
We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N=4 superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling dimension of unprotected local operators transforming in various representations of the R-symmetry group. These bounds generalize recent bounds for operators in the singlet representation, arising from consistency of the four-point function of the stress-energy tensor multiplet.
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.
Jacobi equations and particle accelerator beam dynamics
Ricardo Gallego Torrome
2012-03-27T23:59:59.000Z
A geometric formulation of the linear beam dynamics in accelerator physics is presented. In particular, it is proved that the linear transverse and longitudinal dynamics can be interpret geometrically as an approximation to the Jacobi equation of an affine averaged Lorentz connection. We introduce a specific notion reference trajectory as integral curves of the main velocity vector field. A perturbation caused by the statistical nature of the bunch of particles is considered.
Freeze Out and the Boltzmann Transport Equation
L. P. Csernai; V. K. Magas; E. Molnar; A. Nyiri; K. Tamosiunas
2005-02-20T23:59:59.000Z
Recently several works have appeared in the literature that addressed the problem of Freeze Out in energetic heavy ion reaction and aimed for a description based on the Boltzmann Transport Equation (BTE). In this paper we develop a dynamical Freeze-Out description, starting from the BTE, pointing out the basic limitations of the BTE approach, and the points where the BTE approach should be modified.
Modified Boltzmann Transport Equation and Freeze Out
Csernai, L P; Molnár, E; Nyiri, A; Tamosiunas, K
2005-01-01T23:59:59.000Z
We study Freeze Out process in high energy heavy ion reaction. The description of the process is based on the Boltzmann Transport Equation (BTE). We point out the basic limitations of the BTE approach and introduce Modified BTE. The Freeze Out dynamics is presented in the 4-dimensional space-time in a layer of finite thickness, and we employ Modified BTE for the realistic Freeze Out description.
Modified Boltzmann Transport Equation and Freeze Out
L. P. Csernai; V. K. Magas; E. Molnar; A. Nyiri; K. Tamosiunas
2005-05-26T23:59:59.000Z
We study Freeze Out process in high energy heavy ion reaction. The description of the process is based on the Boltzmann Transport Equation (BTE). We point out the basic limitations of the BTE approach and introduce Modified BTE. The Freeze Out dynamics is presented in the 4-dimensional space-time in a layer of finite thickness, and we employ Modified BTE for the realistic Freeze Out description.
Solutions of systems of ordinary differential equations
Kitchens, Claude Evans
1967-01-01T23:59:59.000Z
Engineering. This thesis would not have been possible without their guidance and patience. ACKNOWLEDGMENTS LIST OF TABLES CHAPTER I CHAPTER II CHAPTER III CHAPTER IV CHAPTER V CHAPTER VI REFERENCES APPENDIX TABLE OF CONTENTS INTRODUCTION LINEAR... FOR THE BEAM PROBLEM ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ 21 CHAPTER I INTRODUCTION The ob]ective of this research was to investigate the feasibility of finding numerical solutions of systems of ordinary linear differ- ential equations with appropriate boundary...
Lyapunov Functionals for the Enskog Equation
Zhenglu Jiang
2006-08-27T23:59:59.000Z
Two Lyapunov functionals are presented for the Enskog equation. One is to describe interactions between particles with various velocities and another is to measure the $L^1$ distance between two classical solutions. The former yields the time-asymptotic convergence of global classical solutions to the collision free motion while the latter is applied into the verification of the $L^1$ stability of global classical solutions.
Identification and use of surrogate precursors to represent delayed neutron groups
Loaiza, D.J. [Los Alamos National Lab., NM (United States); Haskin, F.E. [Univ. of New Mexico, Albuquerque, NM (United States)
1998-09-01T23:59:59.000Z
Time-dependent delayed neutron activities have traditionally been represented by six delayed neutron precursor groups, whose yields and decay constants are obtained from nonlinear least-squares fits to out-of-pile measurements. The group decay constants obtained in this manner are empirical. They do not coincide with decay constants of specific delayed neutron precursors. Different values are used for each fissionable nuclide, and the values used also depend on the energy spectrum of the neutrons causing fission. Having a different value of the six-group decay constants for each fissionable nuclide complicates the analysis of the dynamic behavior of fast reactors. A fast reactor containing six principal fissioning nuclides of uranium and plutonium must, in effect, be described by 36 delayed neutron groups. The use of group decay constants that depend on the neutron energy spectrum makes it difficult to select values that describe the dynamic response of epithermal systems because virtually all delayed neutron activity measurements have been performed for fast or thermal spectra. Clearly, it would be desirable to have a single set of group decay constants that could be applied to all fissionable nuclei. A set of seven fixed decay constants is associated with a specific, dominant delayed neutron precursor. In effect, each group is represented by a single surrogate precursor. Using recently measured delayed neutron activities for {sup 235}U and {sup 237}Np, the proposed set of decay constants actually improved the fit to the data. For other fissionable nuclei, a method has been devised to obtain yields consistent with the proposed set of decay constants from the traditional six-group parameters. This transformation is accomplished without altering the inferred reactivity scale.
A Subbasin-based framework to represent land surface processes in an Earth System Model
Tesfa, Teklu K.; Li, Hongyi; Leung, Lai-Yung R.; Huang, Maoyi; Ke, Yinghai; Sun, Yu; Liu, Ying
2014-05-20T23:59:59.000Z
Realistically representing spatial heterogeneity and lateral land surface processes within and between modeling units in earth system models is important because of their implications to surface energy and water exchange. The traditional approach of using regular grids as computational units in land surface models and earth system models may lead to inadequate representation of lateral movements of water, energy and carbon fluxes, especially when the grid resolution increases. Here a new subbasin-based framework is introduced in the Community Land Model (CLM), which is the land component of the Community Earth System Model (CESM). Local processes are represented assuming each subbasin as a grid cell on a pseudo grid matrix with no significant modifications to the existing CLM modeling structure. Lateral routing of water within and between subbasins is simulated with the subbasin version of a recently-developed physically based routing model, Model for Scale Adaptive River Routing (MOSART). As an illustration, this new framework is implemented in the topographically diverse region of the U.S. Pacific Northwest. The modeling units (subbasins) are delineated from high-resolution Digital Elevation Model while atmospheric forcing and surface parameters are remapped from the corresponding high resolution datasets. The impacts of this representation on simulating hydrologic processes are explored by comparing it with the default (grid-based) CLM representation. In addition, the effects of DEM resolution on parameterizing topography and the subsequent effects on runoff processes are investigated. Limited model evaluation and comparison showed that small difference between the averaged forcing can lead to more significant difference in the simulated runoff and streamflow because of nonlinear horizontal processes. Topographic indices derived from high resolution DEM may not improve the overall water balance, but affect the partitioning between surface and subsurface runoff. More systematic analyses are needed to determine the relative merits of the subbasin representation compared to the commonly used grid-based representation, especially when land surface models are approaching higher resolutions.
Solution generating theorems for the TOV equation
Petarpa Boonserm; Matt Visser; Silke Weinfurtner
2007-07-17T23:59:59.000Z
The Tolman-Oppenheimer-Volkov [TOV] equation constrains the internal structure of general relativistic static perfect fluid spheres. We develop several "solution generating" theorems for the TOV, whereby any given solution can be "deformed" to a new solution. Because the theorems we develop work directly in terms of the physical observables -- pressure profile and density profile -- it is relatively easy to check the density and pressure profiles for physical reasonableness. This work complements our previous article [Phys. Rev. D71 (2005) 124307; gr-qc/0503007] wherein a similar "algorithmic" analysis of the general relativistic static perfect fluid sphere was presented in terms of the spacetime geometry -- in the present analysis the pressure and density are primary and the spacetime geometry is secondary. In particular, our "deformed" solutions to the TOV equation are conveniently parameterized in terms of delta rho_c and delta p_c, the finite shift in the central density and central pressure. We conclude by presenting a new physical and mathematical interpretation of the TOV equation -- as an integrability condition on the density and pressure profiles.
Total Operators and Inhomogeneous Proper Values Equations
Jose G. Vargas
2015-03-27T23:59:59.000Z
Kaehler's two-sided angular momentum operator, K + 1, is neither vector-valued nor bivector-valued. It is total in the sense that it involves terms for all three dimensions. Constant idempotents that are "proper functions" of K+1's components are not proper functions of K+1. They rather satisfy "inhomogeneous proper-value equations", i.e. of the form (K + 1)U = {\\mu}U + {\\pi}, where {\\pi} is a scalar. We consider an equation of that type with K+1 replaced with operators T that comprise K + 1 as a factor, but also containing factors for both space and spacetime translations. We study the action of those T's on linear combinations of constant idempotents, so that only the algebraic (spin) part of K +1 has to be considered. {\\pi} is now, in general, a non-scalar member of a Kaehler algebra. We develop the system of equations to be satisfied by the combinations of those idempotents for which {\\pi} becomes a scalar. We solve for its solutions with {\\mu} = 0, which actually also makes {\\pi} = 0: The solutions with {\\mu} = {\\pi} = 0 all have three constituent parts, 36 of them being different in the ensemble of all such solutions. That set of different constituents is structured in such a way that we might as well be speaking of an algebraic representation of quarks. In this paper, however, we refrain from pursuing this identification in order to emphasize the purely mathematical nature of the argument.
Note: This syllabus may represent a past offering of this course and future course offerings may of the environmental, economic, and social impact of engineering work. #12;Note: This syllabus may represent a past and project overview Syllabus introduction Introductions Assignment introductions: Â· Sustainability project
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Note: This syllabus may represent a past offering of this course and future course offerings may%) 15% #12;Note: This syllabus may represent a past offering of this course and future course offerings Introduction, Overview Syllabus review Introductions User-Centered Design Requirements 2 Ways of Thinking About
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Klippel, Alexander
of oral cancer death rates among white females in the United States prompted a study of occupation: representing reliability of health statistics A M MacEachren, C A Brewer Department of Geography, Penn State in mortality rates. A coincident visually integral depiction (using color characteristics to represent both
Propagation of ultra-short solitons in stochastic Maxwell's equations
Kurt, Levent, E-mail: LKurt@gc.cuny.edu [Department of Science, Borough of Manhattan Community College, City University of New York, New York, New York 10007 (United States)] [Department of Science, Borough of Manhattan Community College, City University of New York, New York, New York 10007 (United States); Schäfer, Tobias [Department of Mathematics, College of Staten Island, City University of New York, Staten Island, New York 10314 (United States)] [Department of Mathematics, College of Staten Island, City University of New York, Staten Island, New York 10314 (United States)
2014-01-15T23:59:59.000Z
We study the propagation of ultra-short short solitons in a cubic nonlinear medium modeled by nonlinear Maxwell's equations with stochastic variations of media. We consider three cases: variations of (a) the dispersion, (b) the phase velocity, (c) the nonlinear coefficient. Using a modified multi-scale expansion for stochastic systems, we derive new stochastic generalizations of the short pulse equation that approximate the solutions of stochastic nonlinear Maxwell's equations. Numerical simulations show that soliton solutions of the short pulse equation propagate stably in stochastic nonlinear Maxwell's equations and that the generalized stochastic short pulse equations approximate the solutions to the stochastic Maxwell's equations over the distances under consideration. This holds for both a pathwise comparison of the stochastic equations as well as for a comparison of the resulting probability densities.
Parallel Solutions of Partial Differential Equations with Adaptive Multigrid Methods
Wieners, Christian
Parallel Solutions of Partial Differential Equations with Adaptive Multigrid Methods results for the solution of partial differential equations based on the software platform UG. State/coarsening, robust parallel multigrid methods, various dis cretizations, dynamic load balancing, mapping and grid
Reduced magnetohydrodynamic equations with coupled Alfvn and sound wave dynamics
kinetic, thermal, electromagnetic, and gravitational forms. As in previous analysis, the equations+ , He+ , and O+ , curvilinear geometry, gravitation, and rotation are also allowed. The equations perturbation may be neglected. For such distur- bances, Faraday's law implies that the perpendicular velocity
Orbital stability of periodic waves for the nonlinear Schrodinger equation
Gallay, Thierry
Orbital stability of periodic waves for the nonlinear SchrË?odinger equation Thierry Gallay Institut: Thierry Gallay, Thierry.Gallay@ujfÂgrenoble.fr Keywords: Nonlinear SchrË?odinger equation, periodic waves
Orbital stability of periodic waves for the nonlinear Schrodinger equation
Orbital stability of periodic waves for the nonlinear SchrÂ¨odinger equation Thierry Gallay Institut: Thierry Gallay, Thierry.Gallay@ujf-grenoble.fr Keywords: Nonlinear SchrÂ¨odinger equation, periodic waves
Orbital stability of periodic waves for the nonlinear Schrodinger equation
Boyer, Edmond
Orbital stability of periodic waves for the nonlinear Schr¨odinger equation Thierry Gallay Institut: Thierry Gallay, Thierry.Gallay@ujf-grenoble.fr Keywords: Nonlinear Schr¨odinger equation, periodic waves
Infinite-dimensional symmetry for wave equation with additional condition
Irina Yehorchenko; Alla Vorobyova
2009-10-13T23:59:59.000Z
Symmetries for wave equation with additional conditions are found. Some conditions yield infinite-dimensional symmetry algebra for the nonlinear equation. Ansatzes and solutions corresponding to the new symmetries were constructed.
Transformations of Heun's equation and its integral relations
Léa Jaccoud El-Jaick; Bartolomeu D. B. Figueiredo
2011-01-26T23:59:59.000Z
We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for the Heun equation, given by single hypergeometric functions (Lambe-Ward-type kernels) and by products of two hypergeometric functions (Erd\\'elyi-type). Such kernels, by a limiting process, also afford new kernels for the confluent Heun equation.
Differential form of the Skornyakov-Ter-Martirosyan Equations
Pen'kov, F. M.; Sandhas, W. [Joint Institute for Nuclear Research, Dubna (Russian Federation) and Institute of Nuclear Physics, Almaty (Kazakhstan); Physikalisches Institut, Universitaet Bonn, Bonn (Germany)
2005-12-15T23:59:59.000Z
The Skornyakov-Ter-Martirosyan three-boson integral equations in momentum space are transformed into differential equations. This allows us to take into account quite directly the Danilov condition providing self-adjointness of the underlying three-body Hamiltonian with zero-range pair interactions. For the helium trimer the numerical solutions of the resulting differential equations are compared with those of the Faddeev-type AGS equations.
Stabilization for the semilinear wave equation with geometric control condition
Paris-Sud XI, Université de
'attracteur global compact pour l'´equation des ondes sont aussi donn´ees. 1 Introduction In this article, we
Morton, Dana Keith; Snow, Spencer David; Rahl, Tommy Ervin; Ware, Arthur Gates
2001-08-01T23:59:59.000Z
The National Spent Nuclear Fuel Program (NSNFP), operating from the Idaho National Engineering and Environmental Laboratory (INEEL), developed the standardized Department of Energy (DOE) spent nuclear fuel (SNF) canister. This canister is designed to be loaded with DOE SNF (including other radioactive materials) and then be used during interim storage, during transportation to the nation’s repository, and for final disposal at the repository without having to be reopened. The canister has been fully designed and has completed significant testing that clearly demonstrates that it can safely achieve its intended design goals. During 1999, nine 457-mm diameter test canisters were fabricated at the INEEL to represent the standardized DOE SNF canister design. Various "worst case" internals were incorporated. Seven of the test canisters were 4.57 m long and weighed approximately 2721 kg, while two were 3.00 m long and weighed approximately 1360 kg and 1725 kg. Seven of the test canisters were dropped from 9 m onto an essentially unyielding flat surface and one of the test canisters was dropped from 1 m onto a 15-cm diameter puncture post. The final test canister was dropped from 61 cm onto a 50.8 mm thick vertically oriented steel plate, and then fell over to impact another 50.8 mm thick vertically oriented steel plate. This last test represented a canister dropping onto another larger container such as a repository disposal container or waste package. The 1999 drop testing was performed at Sandia National Laboratories (SNL). The nine test canisters experienced varying degrees of damage to their skirts, lifting rings, and pressure boundary components (heads and main body). However, all of the canisters were shown to have maintained their pressure boundary (through pressure testing). Four heavily damaged canisters were also shown to be leaktight via helium leak testing. Pre- and post-drop finite element (FE) analyses were also performed. The results clearly indicated that accurate predictions of canister responses to the drop tests were achieved. The results achieved for the standardized canister can also be applicable to other well-constructed containers (canisters, casks, cans, vessels, etc.) subjected to similar loads. Properly designed containers can maintain a containment system after being subjected to dynamically induced high strains and FE computer analyses can accurately predict the resulting responses.
Theory Revision in Equation Discovery Ljupco Todorovski and Saso Dzeroski
Dzeroski, Saso
. Section 5 presents the experiments with revising the earth-science equation model. The last sectionTheory Revision in Equation Discovery Ljupco Todorovski and Saso Dzeroski Department of Intelligent than from an initial hypothesis in the space of equations. On the other hand, theory revision systems
Transport equations in tokamak plasmasa... J. D. Callen,b
Callen, James D.
Transport equations in tokamak plasmasa... J. D. Callen,b C. C. Hegna, and A. J. Cole University; published online 8 April 2010 Tokamak plasma transport equations are usually obtained by flux surface averaging the collisional Braginskii equations. However, tokamak plasmas are not in collisional regimes
Wave Propagation Theory 2.1 The Wave Equation
2 Wave Propagation Theory 2.1 The Wave Equation The wave equation in an ideal fluid can be derived #12;66 2. Wave Propagation Theory quantities of the quiescent (time independent) medium are identified perturbations is much smaller than the speed of sound. 2.1.1 The Nonlinear Wave Equation Retaining higher
Spectral discretization of Darcy's equations with pressure dependent porosity
Paris-Sud XI, Université de
Spectral discretization of Darcy's equations with pressure dependent porosity by Mejdi Aza¨iez1 and the pressure p of the fluid. This system is an extension of Darcy's equations, which model the flow of the resulting system of equations which takes into account the axisymmetry of the domain and of the flow. We