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.
Solving nth order fuzzy differential equation by fuzzy Laplace transform
Latif Ahmad; Muhammad Farooq; Saleem Abdullah
2014-03-02T23:59:59.000Z
In this paper, we generalize the fuzzy Laplace transformation (FLT) for the nth derivative of a fuzzy-valued function named as nth derivative theorem and under the strongly generalized differentiability concept, we use it in an analytical solution method for the solution of an nth order fuzzy initial value problem (FIVP). This is a simple approach toward the solution of nth order fuzzy initial value problem (FIVP) by the nth generalized (FLT) form, and then we can use it to solve any order of FIVP. The related theorems and properties are proved. The method is illustrated with the help of some examples. We use MATLAB to evaluate the inverse Laplace transform.
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.
Application of the Laplace transformation to the solution of the wave equation
Booton, Richard Crittenden
1948-01-01T23:59:59.000Z
be denoted by f(s). Whenever a different letter is used for the transform, the symbol used is defined where it is introduced. Most of the theorems and equations are numbered, the numbe'rs being assigned consecutively. The first part of the number...-transformation" by Gustav Doetsch (l) and "Theory of Four1er Integrals" by E. C. Titchmarsh (l). The latter contains a thorough d1s- cuss1on of the Fourier transformation& with which the Laplace transformation 1s 1ntimately connected. This f1rst part introduces those...
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
Mead, Jodi L.
MATH 333 Laplace Transform Lab 9 May 7, 2008 In this lab we will compute the Laplace transform symbolically and the inverse Laplace transform both symbolically and numerically. Symbolic representation The command syms assigns a variable to be symbolic, laplace(f) finds the Laplace transform of a function f
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
An application of Laplace transforms to a machine maintenance problem
Boone, James Robert
1962-01-01T23:59:59.000Z
of Department August I962 ACKNOWLEDGMENT Professor S. A. Sims' valuable guidance and generous time allot- ment have made this work possible. The author's gratitude and respect shall remain a guiding memory. TABLE OF CONTENTS Page INTRODUCTION... (o)=0 n n40 By the means of Laplace transforms, it is possible to transform th(s system of m + 1 ordinary, linear, first order differential equations into a system of m + I linear algebraic equations. The Laplace transform of the above system...
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.
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.
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).
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.
Broader source: Directives, Delegations, and Requirements [Office of Management (MA)]
2006-04-06T23:59:59.000Z
REPLACED BY DOE-STD-1063 | SUPERSEDING DOE-STD-1063-2000 (MARCH 2000) The purpose of the DOE Facility Representative Program is to ensure that competent DOE staff personnel are assigned to oversee the day-to-day contractor operations at DOE’s hazardous nuclear and non-nuclear facilities.
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
Control System Design Using Finite Laplace Transform Theory
Das, Subhendu
2011-01-01T23:59:59.000Z
The Laplace transform theory violates a very fundamental requirement of all engineering systems. We show that this theory assumes that all signals must exist over infinite time interval. Since in engineering this infinite time assumption is not meaningful and feasible, this paper presents a design for linear control systems using the well known theory of Finite Laplace transform (FLT). The major contributions of this paper can be listed as: (a) A design principle for linear control systems using FLT, (b) A numerical inversion method for the FLT with examples, (c) A proof that the FLT does not satisfy the convolution theorem as normally required in engineering design and analysis, and (d) An observation that the FLT is conceptually similar to the analog equivalent of the Finite Impulse Response (FIR) digital filter.
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.
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
Quantum systems related to root systems and radial parts of Laplace operators
M. A. Olshanetsky; A. M. Perelomov
2002-03-18T23:59:59.000Z
The relation between quantum systems associated to root systems and radial parts of Laplace operators on symmetric spaces is established. From this it follows the complete integrability of some quantum systems.
Rabindra Nath Das
2007-01-16T23:59:59.000Z
The linear non homogeneous singular integral equation (LNSIE)derived from the nonlinear non homogeneous integral eauation (NNIE)of Chandrsasekhar's H- functions is considered here to develop a new form of H - functions.The Plemelj's formulae are applied to that equation to determine a new linear non homogeneous integral equation(LNIE)for H- functions in complex plane . The analytic properties of this new linear integral equation are assessed and compared with known linear integral equations satisfied by H- functions. The Cauchy integral formulae in complex plane are used to obtain this form of H- functions not dependent on H- function in the integral . This new form of H-function is represented as a simple integral in terms of known functions both for conservative and non conservative cases. This is identical with the form of H- functions derived by this author by application of Wiener HOpf technique. The equivalence of application of the theory of linear singular integral equation in Riemann Hilbert Problem and of the technique of Wiener- Hopf in linear integral in representing the H- functions is therefore eatablished .This new form may be used for solving the problems of radiative transfer in anisotropic and non coherent scattering by the method of Laplace Transform and Wiener -Hopf technique.
Solution of the space-time reactor kinetics equations using the method of Laplace transforms
Rottler, Jerry Stephen
1982-01-01T23:59:59.000Z
Reactors CHAPTER V. CONCLUSIONS REFERENCES APPENDIX A. EVALUATED DATA FOR THE THERMAL AND FAST SUBCRITICAL AND SUPERCRITICAL REACTORS AT SELECTED TIMES VITA 1V V1 V11 12 26 47 61 73 77 82 88 LIST OF TABLES PAGE I DATA FOR THE THERMAL... AND FAST REACTOR TEST PROBLEMS. II VALUES FOR THE CROSS SECTIONS AND k ~~ IN THE CRITICAL, SUBCRITICAL, AND SUP ERCRITICAL THERMAL REACTOR. II I VALUES FOR THE CROSS SECTIONS AND k IN THE CRITICAL, SUBCRITICAL, AND SUPERCRITICAL FAST REACTOR . IV...
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 on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasmaP a g eWorks - As Prepared forChoiceNEG Micon AVestasInformation 2-M Probe At25Ruapehu8KUA
Solution of the space-time reactor kinetics equations using the method of Laplace transforms
Rottler, Jerry Stephen
1982-01-01T23:59:59.000Z
and fast reactor when an absorber is added and withdrawn from the system. The reactor parameters for the two systems are listed in Table I. As will be explained later, the subcritical reactor corresponds to a value of c = 0. 99 and the supercritical..., and for the subcritical and supercrit1cal reactor, it can be shown that az & 4b 1 1 for any reasonable, phys1cal system. For the subcritical system, then, a& is always negative, and s& is negative and maximum for n = I, since a more negative number will be added to any...
A Bme Solution Of The Stochastic Three-Dimensional Laplace Equation...
Abstract This work develops a model of the geothermal field in the Nea Kessani region (Greece) by means of the Bayesian maximum entropy (BME) method, which describes the...
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 Brief Comment on Post inversion formula for the Laplace transform
Jose Javier Garcia MOreta
2007-03-06T23:59:59.000Z
In this paper we comment the Post inversion formula for Laplace transform, and its possible application to the branch of Analytic Number theory (Arithmetical functions, RH and PNT), involving a condition in the form of iterated limit to calculate the Riemann Hypothesis.
Rhoads, James
Representative Staffing & Management Reviews & Control Gates The NASA Program/Project Life Cycle Concept C Concept/Design Evaluation Criteria ° Feasibility Assessment ° Life Cycle Cost Estimates ° Trade Requirements Establish Optimum System Design Analyze Mission Requirements Establish Optimum Architecture
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
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.
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
Inverse Problems in Engng, 2002, Vol. 10, No. 5, pp. 467483 INVERSION OF NOISE-FREE LAPLACE
Valkó, Peter
detailed Tables of Laplace transform pairs and employing some basic properties. A more recent alternative Vance Department of Petroleum Engineering, Texas A&M University, 3116 TAMU, College Station, TX 77843-3116; b Department of Biomedical Engineering, Boston University, 44 Cummington Street, Boston, MA 02215
Representative Albert R. Public Policy
Sibille, Etienne
District. During the last 12 years, he served on the powerful House Energy and Commerce Committee, most of the Subcommittee on Energy and Air Quality. While on Energy and Commerce, Representative Wynn also served OF CONCENTRATION Energy Representative Wynn helped craft the Energy Independence and Security Act of 2007. He added
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'.
Schroedinger equation and classical physics
Milos V. Lokajicek
2012-05-30T23:59:59.000Z
Any time-dependent solution of Schr\\"{o}dinger equation may be always correlated to a solution of Hamilton equations or to a statistical combination of their solutions; only the set of corresponding solutions is somewhat smaller (due to existence of quantization). There is not any reason to the physical interpretation according to Copenhagen alternative as Bell's inequalities are valid in the classical physics only (and not in any alternative based on Schr\\"{o}dinger equation). The advantage of Schr\\"{o}dinger equation consists then in that it enables to represent directly the time evolution of a statistical distribution of classical initial states (which is usual in collision experiments). The Schr\\"{o}dinger equation (without assumptions added by Bohr) may then represent the common physical theory for microscopic as well as macroscopic physical systems. However, together with the last possibility the solutions of Schr\\"{o}dinger equation may be helpful also in analyzing the influence of other statistically distributed properties (e.g., spin orientations or space structures) of individual matter objects forming a corresponding physical system, which goes in principle beyond the classical physics. In any case, the contemporary quantum theory represents the phenomenological approximative description of some matter characteristics only, without providing any insight into quantum mechanism emergence. In such a case it is necessary to take into account more detailed properties at least of some involved objects.
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,...
Does the Poynting vector always represent electromagnetic power flow?
Changbiao Wang
2015-07-07T23:59:59.000Z
Poynting vector as electromagnetic power flow has prevailed over one hundred years in the community. However in this paper, it is shown from Maxwell equations that the Poynting vector may not represent the electromagnetic power flow for a plane wave in a non-dispersive, lossless, non-conducting, anisotropic uniform medium; this important conclusion revises the conventional understanding of Poynting vector. It is also shown that this conclusion is clearly supported by Fermat's principle and special theory of relativity.
Does the Poynting vector always represent electromagnetic power flow?
Wang, Changbiao
2015-01-01T23:59:59.000Z
Poynting vector as electromagnetic power flow has prevailed over one hundred years in the community. However in this paper, it is shown from Maxwell equations that the Poynting vector may not represent the electromagnetic power flow for a plane wave in a non-dispersive, lossless, non-conducting, anisotropic uniform medium; this important conclusion revises the conventional understanding of Poynting vector. It is also shown that this conclusion is clearly supported by Fermat's principle and special theory of relativity.
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.
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.
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 ...
Atilhan, Mert
2004-09-30T23:59:59.000Z
and thermophysical properties of natural gas for practical engineering applications. This thesis presents a new cubic EOS for pure argon. In this work, a theoretically based EOS represents the PVT behavior of pure fluids. The new equation has its basis...
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
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...
A Capital Market Test of Representativeness
Safdar, Mohammad
2012-07-16T23:59:59.000Z
A CAPITAL MARKET TEST OF REPRESENTATIVENESS A Dissertation by MOHAMMAD URFAN SAFDAR Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR... OF PHILOSOPHY May 2012 Major Subject: Accounting A Capital Market Test of Representativeness Copyright 2012 Mohammad Urfan Safdar A CAPITAL MARKET TEST OF REPRESENTATIVENESS A Dissertation...
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
R. K. Saxena; A. M. Mathai; H. J. Haubold
2011-09-29T23:59:59.000Z
The object of this paper is to present a computable solution of a fractional partial differential equation associated with a Riemann-Liouville derivative of fractional order as the time-derivative and Riesz-Feller fractional derivative as the space derivative. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computable form in terms of the H-function. It provides an elegant extension of the results given earlier by Debnath, Chen et al., Haubold et al., Mainardi et al., Saxena et al., and Pagnini et al. The results obtained are presented in the form of four theorems. Some results associated with fractional Schroeodinger equation and fractional diffusion-wave equation are also derived as special cases of the findings.
Phung, Kim-dang.- Le Laboratoire de MathÃ©matiques
I: Heat equation II: SchrÃ¶dinger equation III: Wave equation IV: Radiative transfer equation;I: Heat equation II: SchrÃ¶dinger equation III: Wave equation IV: Radiative transfer equation QUCP: Heat equation II: SchrÃ¶dinger equation III: Wave equation IV: Radiative transfer equation QUCP
The generating functions of Lame equation in Weierstrass's form
Yoon Seok Choun
2014-11-07T23:59:59.000Z
Lame equation arises from deriving Laplace equation in ellipsoidal coordinates; in other words, it's called ellipsoidal harmonic equation. Lame function is applicable to diverse areas such as boundary value problems in ellipsoidal geometry, chaotic Hamiltonian systems, the theory of Bose-Einstein condensates, etc. By applying generating function into modern physics (quantum mechanics, thermodynamics, black hole, supersymmetry, special functions, etc), we are able to obtain the recursion relation, a normalization constant for the wave function and expectation values of any physical quantities. For the case of hydrogen-like atoms, generating function of associated Laguerre polynomial has been used in order to derive expectation values of position and momentum. By applying integral forms of Lame polynomial in the Weierstrass's form in which makes B_n term terminated [29], I consider generating function of it including all higher terms of A_n's. This paper is 8th out of 10 in series "Special functions and three term recurrence formula (3TRF)". See section 4 for all the papers in the series. Previous paper in series deals with the power series expansion and the integral formalism of Lame equation in the Weierstrass's form and its asymptotic behavior [29]. The next paper in the series describes analytic solution for grand confluent hypergeometric function [31].
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...
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.
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.
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.
REPRESENTATIVE COURSE SEQUENCE SOFTWARE ENGINEERING (SE)
Huang, Haiying
REPRESENTATIVE COURSE SEQUENCE SOFTWARE ENGINEERING (SE) Freshman Year First Semester Second Semester Second Semester CSE 3310 Fundamentals of Software CSE 3302 Programming Languages Engineering CSE 3320 Operating Systems CSE 3315 Theoretical Concepts in CSE CSE 4310 Software Engineering
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.
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-linear equations for electron waves in Maxwellian low-collision ion-electron plasmas
Soshnikov, V N
2008-01-01T23:59:59.000Z
The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic equations, and the use of 2D Laplace transform method are applied to an evaluation of collision damping decrements of plane electron longitudinal and transverse waves. Damping decrement tends to infinity when the wave frequency tends to electron Langmuir frequency from above values. We considered recurrent relations for amplitudes of the overtones which form in their sum the all solution of the plasma wave non-linear equations including collision damping and quadratic (non-linear) terms. Collisionless damping at frequencies more the Langmuir one is possible only in non-Maxwellian plasmas.
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.
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
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.
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
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.
Yucca Mountain Climate Technical Support Representative
Sharpe, Saxon E
2007-10-23T23:59:59.000Z
The primary objective of Project Activity ORD-FY04-012, “Yucca Mountain Climate Technical Support Representative,” was to provide the Office of Civilian Radioactive Waste Management (OCRWM) with expertise on past, present, and future climate scenarios and to support the technical elements of the Yucca Mountain Project (YMP) climate program. The Climate Technical Support Representative was to explain, defend, and interpret the YMP climate program to the various audiences during Site Recommendation and License Application. This technical support representative was to support DOE management in the preparation and review of documents, and to participate in comment response for the Final Environmental Impact Statement, the Site Recommendation Hearings, the NRC Sufficiency Comments, and other forums as designated by DOE management. Because the activity was terminated 12 months early and experience a 27% reduction in budget, it was not possible to complete all components of the tasks as originally envisioned. Activities not completed include the qualification of climate datasets and the production of a qualified technical report. The following final report is an unqualified summary of the activities that were completed given the reduced time and funding.
M. J. Holst The Poisson-Boltzmann Equation
Holst, Michael J.
discontinuous coefficients representing material interfaces, rapid nonlinearities, and three spatial dimensions. Similar equations occur in various applications, including nuclear physics, semiconductor physics complex biomolecule lying in a solvent. We next study the theoretical properties of the linearized
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.
Graph-based approach for the approximate solution of the chemical master equation
Basile, Raffaele
2015-07-01T23:59:59.000Z
The chemical master equation (CME) represents the accepted stochastic description of chemical reaction kinetics in mesoscopic systems. As its exact solution – which gives the corresponding probability density function – ...
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.
Property Representatives Lists - HQ | 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:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318Cubic Feet)89312Forums OutreachPower Plant andServicesProjectProperty Representatives
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).
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
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.
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.
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.
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
Separable Differential Equations
PRETEX (Halifax NS) #1 1054 1999 Mar 05 10:59:16
2010-01-20T23:59:59.000Z
Feb 16, 2007 ... preceding differential equation and several mem- bers of the given family of curves. Describe the family of orthogonal trajectories. 34. Consider ...
First order differential equations
Samy Tindel
2015-09-29T23:59:59.000Z
Chemical pollution example (2). Notation: Q(t) ? quantity of ... Initial velocity v0, upward. Air resistance negligible ... Air resistance neglected. Equation: v = ?g.
Integrating the Jacobian equation
Airton von Sohsten de Medeiros; Ráderson Rodrigues da Silva
2014-09-16T23:59:59.000Z
We show essentially that the differential equation $\\frac{\\partial (P,Q)}{\\partial (x,y)} =c \\in {\\mathbb C}$, for $P,\\,Q \\in {\\mathbb C}[x,y]$, may be "integrated", in the sense that it is equivalent to an algebraic system of equations involving the homogeneous components of $P$ and $Q$. Furthermore, the first equations in this system give explicitly the homogeneous components of $Q$ in terms of those of $P$. The remaining equations involve only the homogeneous components of $P$.
Reference Buildings by Climate Zone and Representative City:...
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Reference Buildings by Climate Zone and Representative City: 4B Albuquerque, New Mexico Reference Buildings by Climate Zone and Representative City: 4B Albuquerque, New...
3Q CY2007 (PDF), Facility Representative Program Performance...
Office of Environmental Management (EM)
7 (PDF), Facility Representative Program Performance Indicators Quarterly Report 3Q CY2007 (PDF), Facility Representative Program Performance Indicators Quarterly Report Attached...
3Q CY2005 (PDF), Facility Representative Program Performance...
Office of Environmental Management (EM)
5 (PDF), Facility Representative Program Performance Indicators Quarterly Report 3Q CY2005 (PDF), Facility Representative Program Performance Indicators Quarterly Report Attached...
1Q CY2000 (PDF), Facility Representative Program Performance...
1Q CY2000 (PDF), Facility Representative Program Performance Indicators Quarterly Report 1Q CY2000 (PDF), Facility Representative Program Performance Indicators Quarterly Report...
Sergei Kuksin; Alberto Maiocchi
2015-01-17T23:59:59.000Z
In this chapter we present a general method of constructing the effective equation which describes the behaviour of small-amplitude solutions for a nonlinear PDE in finite volume, provided that the linear part of the equation is a hamiltonian system with a pure imaginary discrete spectrum. The effective equation is obtained by retaining only the resonant terms of the nonlinearity (which may be hamiltonian, or may be not); the assertion that it describes the limiting behaviour of small-amplitude solutions is a rigorous mathematical theorem. In particular, the method applies to the three-- and four--wave systems. We demonstrate that different possible types of energy transport are covered by this method, depending on whether the set of resonances splits into finite clusters (this happens, e.g. in case of the Charney-Hasegawa-Mima equation), or is connected (this happens, e.g. in the case of the NLS equation if the space-dimension is at least two). For equations of the first type the energy transition to high frequencies does not hold, while for equations of the second type it may take place. In the case of the NLS equation we use next some heuristic approximation from the arsenal of wave turbulence to show that under the iterated limit "the volume goes to infinity", taken after the limit "the amplitude of oscillations goes to zero", the energy spectrum of solutions for the effective equation is described by a Zakharov-type kinetic equation. Evoking the Zakharov ansatz we show that stationary in time and homogeneous in space solutions for the latter equation have a power law form. Our method applies to various weakly nonlinear wave systems, appearing in plasma, meteorology and oceanology.
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 ...
Morin, Pedro
Trabajo Pr´actico 8 Ecuaciones en Derivadas Parciales (1) Hallar la soluci´on1 de la ecuaci´on de´on de la ecuaci´on de Laplace dentro del rect´angulo 0 x L, 0 y H con las condiciones de borde: ux(0 m´etodo s´olo funciona bajo la condici´on de la parte (a). (c) Considerar la ecuaci´on del calor
Differential Equations of Mathematical Physics
Max Lein
2015-08-16T23:59:59.000Z
These lecture notes for the course APM 351 at the University of Toronto are aimed at mathematicians and physicists alike. It is not meant as an introductory course to PDEs, but rather gives an overview of how to view and solve differential equations that are common in physics. Among others, I cover Hamilton's equations, variations of the Schr\\"odinger equation, the heat equation, the wave equation and Maxwells equations.
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.
Tailored Marketing for Under-represented Population Segments...
Tailored Marketing for Under-represented Population Segments (201) Tailored Marketing for Under-represented Population Segments (201) August 13, 2015 3:00PM to 4:3...
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
FACILITY REPRESENTATIVE PROGRAM STATUS, 6/21/1999
Broader source: Energy.gov [DOE]
Since September, 1993, the Office of Field Management has served as the Department’s corporate advocate for the Facility Representative Program. The Facility Representative (FR) is a critical...
1999 FACILITY REPRESENTATIVE CONFERENCE June 21 – 25, 1999
Broader source: Energy.gov [DOE]
The Department of Energy will host the Facility Representative Annual Meeting on June 21-25, 1999 at the Alexis Park Hotel in Las Vegas, Nevada. The meeting will give Facility Representatives and...
Knowledge Media Institute Representing Scholarly Claims in Internet Digital
Knowledge Media Institute Representing Scholarly Claims in Internet Digital Libraries: A Knowledge in Computer Science (Eds.) Serge Abiteboul and Anne-Marie Vercoustre. Representing Scholarly Claims with tracking and interpreting scholarly documents in distributed research communities. We argue that current
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.
A Class Representative Model for Pure Parsimony Haplotyping
2008-06-05T23:59:59.000Z
A Class Representative Model for Pure Parsimony Haplotyping. Daniele Catanzaro†, Alessandra Godi?, and Martine Labbé†. June 5, 2008. Abstract.
Meng, Da; Zheng, Bin; Lin, Guang; Sushko, Maria L.
2014-08-29T23:59:59.000Z
We have developed efficient numerical algorithms for the solution of 3D steady-state Poisson-Nernst-Planck equations (PNP) with excess chemical potentials described by the classical density functional theory (cDFT). The coupled PNP equations are discretized by finite difference scheme and solved iteratively by Gummel method with relaxation. The Nernst-Planck equations are transformed into Laplace equations through the Slotboom transformation. Algebraic multigrid method is then applied to efficiently solve the Poisson equation and the transformed Nernst-Planck equations. A novel strategy for calculating excess chemical potentials through fast Fourier transforms is proposed which reduces computational complexity from O(N2) to O(NlogN) where N is the number of grid points. Integrals involving Dirac delta function are evaluated directly by coordinate transformation which yields more accurate result compared to applying numerical quadrature to an approximated delta function. Numerical results for ion and electron transport in solid electrolyte for Li ion batteries are shown to be in good agreement with the experimental data and the results from previous studies.
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
Reference Buildings by Climate Zone and Representative City:...
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awaseattlenew2004v1-47-2.zip More Documents & Publications Reference Buildings by Climate Zone and Representative City: 4C Seattle, Washington Reference Buildings by Climate...
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Polytechnic Institute of New York University Researchers Represented...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
University Researchers Represented in the E-print Network ResearcherResearch Institution Web page Aronov, Boris - Department of Computer Science and Engineering, Polytechnic...
Name Representing Alam, Mansoor WSA Information Technology Committee
Royer, Dana
Name Representing Alam, Mansoor WSA Information Technology Committee Baird, Dave Chair and Chief Information Officer Beveridge, Dave Faculty, Division III Cope, Miriam Academic Computing Manager, Division
U.S. Representative Cleaver congratulates KCP employees for safety...
National Nuclear Security Administration (NNSA)
Representative Cleaver congratulates KCP employees for safety record during big move | National Nuclear Security Administration Facebook Twitter Youtube Flickr RSS People Mission...
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*** ...
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.
Deviation differential equations. Jacobi fields
G. Sardanashvily
2013-04-02T23:59:59.000Z
Given a differential equation on a smooth fibre bundle Y, we consider its canonical vertical extension to that, called the deviation equation, on the vertical tangent bundle VY of Y. Its solutions are Jacobi fields treated in a very general setting. In particular, the deviation of Euler--Lagrange equations of a Lagrangian L on a fibre bundle Y are the Euler-Lagrange equations of the canonical vertical extension of L onto VY. Similarly, covariant Hamilton equations of a Hamiltonian form H are the Hamilton equations of the vertical extension VH of H onto VY.
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.
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
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.
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
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...
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.
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REPRESENTING AEROSOLS IN GLOBAL MODELS: FROM MICROMETERS TO MEGAMETERS
Schwartz, Stephen E.
mainly from gas-to- particle conversion of low-volatility gaseous species, mainly sulfuric acid to represent aerosol processes and forcing "on-line" in climate models in order to capture the feedbacks
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Representing and Reasoning about Changing Spatial Extensions of Geographic Features
Bennett, Brandon
. Campelo and Brandon Bennett School of Computing, University of Leeds, Leeds, LS2 9JT, UK, sccec,b.bennett@leeds For a comprehensive review of issues and challenges for representing geographic processes see [10]. #12;Foundational
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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B Albuquerque, New Mexico Reference Buildings by Climate Zone and Representative City: 4B Albuquerque, New Mexico In addition to the ZIP file for each building type, you can...
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...
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)...
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.
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.
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.
On the generalized Jacobi equation
Volker Perlick
2007-10-14T23:59:59.000Z
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities. The generalized Jacobi equation, introduced by Hodgkinson in 1972 and further developed by Mashhoon and others, arises if the linearization is done only with respect to the coordinates, but not with respect to the velocities. The resulting equation has been studied by several authors in some detail for timelike geodesics in a Lorentzian manifold. Here we begin by briefly considering the generalized Jacobi equation on affine manifolds, without a metric; then we specify to lightlike geodesics in a Lorentzian manifold. We illustrate the latter case by considering particular lightlike geodesics (a) in Schwarzschild spacetime and (b) in a plane-wave spacetime.
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.
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.
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.
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.
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.
Schroeder's Equation in Several Variables
1910-10-20T23:59:59.000Z
2000 Mathematics Subject Classification: Primary: 32H50. Secondary: 30D05, 39B32, 47B33. Keywords: Schroeder's functional equation, iteration, composition
TRANSFORMING THE HEUN EQUATION TO THE HYPERGEOMETRIC EQUATION
TRANSFORMING THE HEUN EQUATION TO THE HYPERGEOMETRIC EQUATION: I. POLYNOMIAL TRANSFORMATIONS ROBERT by rational changes of its in dependent variable are classified. Heuntohypergeometric transformationstohypergeometric transformations) of Goursat. However, a transformation is possible only if the singular point location parameter
TRANSFORMING THE HEUN EQUATION TO THE HYPERGEOMETRIC EQUATION
Maier, Robert S.
TRANSFORMING THE HEUN EQUATION TO THE HYPERGEOMETRIC EQUATION: I. POLYNOMIAL TRANSFORMATIONS ROBERT by rational changes of its independent variable are classi#12;ed. Heun-to-hypergeometric transformations-to-hypergeometric transforma- tions) of Goursat. However, a transformation is possible only if the singular point location
TRANSFORMING THE HEUN EQUATION TO THE HYPERGEOMETRIC EQUATION
Maier, Robert S.
TRANSFORMING THE HEUN EQUATION TO THE HYPERGEOMETRIC EQUATION: I. POLYNOMIAL TRANSFORMATIONS ROBERT changes of its in- dependent variable are classified. Heun-to-hypergeometric transformations are analogous to the classical hypergeo- metric identities (i.e., hypergeometric-to-hypergeometric transformations) of Goursat
Capturing Post-Silicon Variations using a Representative Critical Path
Sapatnekar, Sachin
1 Capturing Post-Silicon Variations using a Representative Critical Path Qunzeng Liu and Sachin S on measurements on a replica of the nominal critical path, whose variations are intended to reflect those of the entire circuit after manufacturing. For realistic circuits, where the number of critical paths can
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
AN ALTERNATIVE NOTATION FOR REPRESENTING DENSE LINEAR ALGEBRA ALGORITHMS
van de Geijn, Robert A.
AN ALTERNATIVE NOTATION FOR REPRESENTING DENSE LINEAR ALGEBRA ALGORITHMS PAOLO BIENTINESI AND ROBERT A. VAN DE GEIJN Abstract. We present a notation that allows a dense linear algebra algorithm subvectors and submatrices allowing the details of the algorithm to be the focus while hiding the intricate
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
Toward Representative Internet Measurements Aditya Akella, Srinivasan Seshan
Akella, Aditya
and understand the structure and behavior of the Internet have a long history in the network research communityToward Representative Internet Measurements Aditya Akella, Srinivasan Seshan Dept. of Computer, and failure modes still is far from complete. Characterizing the operation of the current Internet
Representing Temporal Knowledge for Case-Based Prediction
Aamodt, Agnar
well drilling. 1 Introduction Most current CBR systems represent episodes as distinct snap. Our focus is on prediction problems for avoiding faulty situations. Based on a well-established theory-intensive CBR system Creek. The paper presents the theoretical foundation of the method, the representation
Representing Thermal Vibrations and Uncertainty in Molecular Surfaces
Varshney, Amitabh
in a molecule is fuzzy because of its uncertainty in protein structure determination and thermal energy because of its thermal energy. Therefore, the smooth molecular surface will also vibrate. Also in proteinRepresenting Thermal Vibrations and Uncertainty in Molecular Surfaces Chang Ha Lee and Amitabh
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.
WIPP Representative Selected For National Environmental Justice Advisory Board
Broader source: Energy.gov [DOE]
CARLSBAD, N.M. – Organizers say no similar opportunity or conference exists in America. In April, representatives from federal and state agencies, local governments, tribes, communities, business, academia and other groups will gather in Washington, D.C. for the 2012 National Environmental Justice Conference and Training Program.
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
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
The Computational Complexity of Nash Equilibria in Concisely Represented Games #
Vadhan, Salil
The Computational Complexity of Nash Equilibria in Concisely Represented Games # Grant R#erent representations of games a#ect the complexity of problems associated with games, such as finding a Nash. For these two models, we study the complexity of four questions: determining if a given strategy is a Nash
The Computational Complexity of Nash Equilibria in Concisely Represented Games
Vadhan, Salil
The Computational Complexity of Nash Equilibria in Concisely Represented Games Grant R. Schoenebeck representations of games affect the complexity of problems associated with games, such as finding a Nash. For these two models, we study the complexity of four questions: determining if a given strategy is a Nash
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.
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
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
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.
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....
Reformulating the Schrodinger equation as a Shabat-Zakharov system
Boonserm, Petarpa
2009-01-01T23:59:59.000Z
We reformulate the second-order Schrodinger equation as a set of two coupled first order differential equations, a so-called "Shabat-Zakharov system", (sometimes called a "Zakharov-Shabat" system). There is considerable flexibility in this approach, and we emphasise the utility of introducing an "auxiliary condition" or "gauge condition" that is used to cut down the degrees of freedom. Using this formalism, we derive the explicit (but formal) general solution to the Schrodinger equation. The general solution depends on three arbitrarily chosen functions, and a path-ordered exponential matrix. If one considers path ordering to be an "elementary" process, then this represents complete quadrature, albeit formal, of the second-order linear ODE.
Fate of a representative pharmaceutical in the environment
Morse, Audra; Jackson, Andrew
2003-01-01T23:59:59.000Z
represent a variety of ecosystems and may include a variety of climates. The consequences of antibiotic resistant organisms may be different for each environment. WWTPs are used to treat domestic and industrial wastewater so that it may be disposed... As existing potable water supplies are depleted and populations continue to grow in arid and semi-arid areas of the country, including West Texas, the need for complete recycling of wastewater for water distribution may become necessary. Already the dilution...
A Grassmann integral equation K. Scharnhorst a)
Scharnhorst, Klaus
A Grassmann integral equation K. Scharnhorst a) HumboldtÂUniversita Ë? t zu Berlin, Institut fu Ë? r Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann #Berezin# integrations and which is to be obeyed
A Grassmann integral equation K. Scharnhorsta)
Scharnhorst, Klaus
A Grassmann integral equation K. Scharnhorsta) Humboldt-UniversitaÂ¨t zu Berlin, Institut fu Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann Berezin integrations and which is to be obeyed
Electron temperature anisotropy instabilities represented by superposition of streams
Inglebert, A.; Ghizzo, A.; Reveille, T.; Bertrand, P. [IJL UMR 7198, Universite de Lorraine, BP 70239 F-54506 Vandoeuvre les Nancy (France); Califano, F. [Department of Physics, University of Pisa, Pisa (Italy)
2012-12-15T23:59:59.000Z
The generation of magnetic field, together with the electrostatic activity met in the saturation regime of the Weibel instability (WI), is investigated by means of an analytical multi-stream model in a Hamiltonian framework. Taking advantage from the invariance of the generalized canonical momentum, the model allows to reduce the full kinetic 1D2V Vlasov equation into several 1D1V equations while keeping its kinetic character. The multi-stream model provides a more complete and accurate picture of the Weibel instability, because it is possible to separate the specific contribution of each stream during the development of the Weibel instability. An interesting result for the multi-stream mode is a lower cost in the perpendicular treatment of the p{sub y} momentum component since no differential operator associated with some approximate numerical scheme has to be carried out on this variable. Indeed, a small number of streams or particle classes are sufficient to correctly describe the magnetic field generation and the mixed electrostatic- electromagnetic nature of the instability.
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.
Entropic corrections to Einstein equations
Hendi, S. H. [Physics Department, College of Sciences, Yasouj University, Yasouj 75914 (Iran, Islamic Republic of); Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha (Iran, Islamic Republic of); Sheykhi, A. [Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha (Iran, Islamic Republic of); Department of Physics, Shahid Bahonar University, P.O. Box 76175-132, Kerman (Iran, Islamic Republic of)
2011-04-15T23:59:59.000Z
Considering the general quantum corrections to the area law of black hole entropy and adopting the viewpoint that gravity interprets as an entropic force, we derive the modified forms of Modified Newtonian dynamics (MOND) theory of gravitation and Einstein field equations. As two special cases we study the logarithmic and power-law corrections to entropy and find the explicit form of the obtained modified equations.
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
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.
4.3 Boundary integral equations
2010-10-18T23:59:59.000Z
62. CHAPTER 4. OBSTACLE SCATTERING. 4.3 Boundary integral equations. We introduce the equivalent sources for the Helmholtz equation and establish ...
A connection between the shallow-water equations and the Euler-Poincaré equations
Roberto Camassa; Long Lee
2014-04-18T23:59:59.000Z
The Euler-Poincar\\'e differential (EPDiff) equations and the shallow water (SW) equations share similar wave characteristics. Using the Hamiltonian structure of the SW equations with flat bottom topography, we establish a connection between the EPDiff equations and the SW equations in one and multi-dimensions. Additionally, we show that the EPDiff equations can be recast in a curl formulation.
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.
Continuous time random walk models for fractional space-time diffusion equations
Sabir Umarov
2014-09-14T23:59:59.000Z
In this paper continuous time random walk models approximating fractional space-time diffusion processes are studied. Stochastic processes associated with the considered equations represent time-changed processes, where the time-change process is a L\\'evy's stable subordinator with the stability index $\\beta \\in (0,1).$ In the parer the convergence of constructed CTRWs to time-changed processes associated with the corresponding fractional diffusion equations are proved using a new analytic method.
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.
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...
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
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
2. System boundaries; Balance equations
Zevenhoven, Ron
") Introduction to Process Engineering v.2014 Åbo Akademi University | Thermal and Flow Engineering | 20500 Turku | Finland 2/28 2.1 System boundaries Åbo Akademi University | Thermal and Flow Engineering | 20500 Turku equations: Mass balances, other balances Åbo Akademi University | Thermal and Flow Engineering | 20500 Turku
Energy stories, equations and transition
Ernst, Damien
, . . . , T 1}, Bt = 1 r e (t t0) 1 + e (t t0) 2 #12;· Set of renewable energy production technologies Sustainable Energy April 28th, 2015 Raphael Fonteneau, University of Liège, Belgium @R_Fonteneau #12;Energy% - Renewable Non renewable The challenge #12;Equations and Transition #12;ERoEI · ERoEI for « Energy
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.
Blink, J.A.
1983-09-01T23:59:59.000Z
In 1977, Dave Young published an equation-of-state (EOS) for lithium. This EOS was used by Lew Glenn in his AFTON calculations of the HYLIFE inertial-fusion-reactor hydrodynamics. In this paper, I summarize Young's development of the EOS and demonstrate a computer program (MATHSY) that plots isotherms, isentropes and constant energy lines on a P-V diagram.
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.
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.
Greening the U.S. House of Representatives
Diamond, Rick; Diamond, Rick; Payne, Christopher
2008-03-01T23:59:59.000Z
The Greening the Capitol initiative was launched in March, 2007 with the threefold goals of making the U.S. House of Representatives: 1) carbon neutral within 18 months, 2) reducing energy use by 50percent in ten years, and 3) becoming a model of sustainable operations. We report on the recommendations to meet these goals, looking at the targets of opportunity at the Capitol Power Plant, the existing buildings, and the overall operations of the complex. Our findings have shown that these goals are achievable, and that through an integrated approach the savings in carbon and energy can be met. Specific examples include the lighting retrofits in the House offices, parking areas, and the Capitol dome; the retrofits to the HVAC systems and controls, including duct sealing, improving the efficiency of the energy and water use in the food service areas; and improved operations of the steam and chilled water distribution system. A key aspect has been better tracking and feedback to the building operators of the actual energy consumption. We report on the technical opportunities presented by these historic and symbolic buildings in becoming models of sustainability.
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.
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...
Use of Regression Equations 1 Running head: Equations from summary data
Crawford, John R.
Use of Regression Equations 1 Running head: Equations from summary data Neuropsychology, in press the final version published in the APA journal. It is not the copy of record Using regression equations.crawford@abdn.ac.uk #12;Use of Regression Equations 2 Abstract Regression equations have many useful roles
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
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.
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...
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.
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
A hybrid formulation of map migration and wave-equation-based migration
Snieder, Roel
CWP-549 March 2006 A hybrid formulation of map migration and wave-equation-based migration using through a one-to- one mapping from the data to the image, known as map migration. Using building blocks in a map-migration-based procedure to image seismic data. Fo- cussing on sparsely representing the imaging
Numerical Analysis of a one dimensional Diffusion Equation for a single chamber Microbial Fuel Cell generation within our society. Microbial fuel cells (MFCs) represent a new form of renewable energy using a Linked Simulation Optimization (LSO) technique E521: Advanced Numerical Methods Eric A. Zielke
A HIGH ORDER NYSTROM METHOD FOR BOUNDARY INTEGRAL EQUATIONS ON AXISYMMETRIC SURFACES
Martinsson, Gunnar
. Whenever f can be represented with a moderate number of Fourier modes, the trans- formation of (1.1) to (1. Key words. boundary integral equations, high order discretization, body of revolution AMS subject of uncoupled small linear systems (one for each Fourier mode). Since the system matrices are dense, the gain
Mahouton Norbert Hounkonnou; André Ronveaux
2013-06-20T23:59:59.000Z
This paper addresses a general method of polynomial transformation of hypergeometric equations. Examples of some classical special equations of mathematical physics are generated. Heun's equation and exceptional Jacobi polynomials are also treated.
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.
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.
On Process Equivalence = Equation Solving in CCS
Bundy, Alan; Monroy, Raul; Green, Ian
Unique Fixpoint Induction (UFI) is the chief inference rule to prove the equivalence of recursive processes in the Calculus of Communicating Systems (CCS) (Milner 1989). It plays a major role in the equational approach to verification. Equational...
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 ...
Deriving Mathisson - Papapetrou equations from relativistic pseudomechanics
R. R. Lompay
2005-03-12T23:59:59.000Z
It is shown that the equations of motion of a test point particle with spin in a given gravitational field, so called Mathisson - Papapetrou equations, can be derived from Euler - Lagrange equations of the relativistic pseudomechanics -- relativistic mechanics, which side by side uses the conventional (commuting) and Grassmannian (anticommuting) variables. In this approach the known difficulties of the Mathisson - Papapetrou equations, namely, the problem of the choice of supplementary conditions and the problem of higher derivatives are not appear.
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\
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.
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.
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
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
Lu, Zhiming
Representing aquifer architecture in macrodispersivity models with an analytical solution] The multi-dimensional transition probability model represents hydrofacies architecture in modeling aquifer heterogeneity. The structure of the aquifer architecture is mathematically characterized by a canonical
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.
Gregory H. Friedman: Before the U.S. House of Representatives...
Office of Environmental Management (EM)
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...
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...
California at Santa Barbara, University of
National Center for Geographic Information and Analysis Measuring and Representing Accessibility in the Information Age A Specialist Meeting of Project Varenius' Geographies of the Information Society 19 ........................................................................................................11 Visualizing and Representing Information Space Within Geographic Information Science (GIS) Michael
Statistically designed study of the variables and parameters of carbon dioxide equations of state
Donohue, M.D.; Naiman, D.Q.; Jin, Gang; Loehe, J.R.
1991-05-01T23:59:59.000Z
Carbon dioxide is used widely in enhanced oil recovery (EOR) processes to maximize the production of crude oil from aging and nearly depleted oil wells. Carbon dioxide also is encountered in many processes related to oil recovery. Accurate representations of the properties of carbon dioxide, and its mixtures with hydrocarbons, play a critical role in a number of enhanced oil recovery operations. One of the first tasks of this project was to select an equation of state to calculate the properties of carbon dioxide and its mixtures. The equations simplicity, accuracy, and reliability in representing phase behavior and thermodynamic properties of mixtures containing carbon dioxide with hydrocarbons at conditions relevant to enhanced oil recovery were taken into account. We also have determined the thermodynamic properties that are important to enhanced oil recovery and the ranges of temperature, pressure and composition that are important. We chose twelve equations of state for preliminary studies to be evaluated against these criteria. All of these equations were tested for pure carbon dioxide and eleven were tested for pure alkanes and their mixtures with carbon dioxide. Two equations, the ALS equation and the ESD equation, were selected for detailed statistical analysis. 54 refs., 41 figs., 36 tabs.
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.
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
Modified Bernoulli Equation for Use with Combined Electro-Osmotic and Pressure-Driven Microflows
Adams, Thomas M
2012-01-01T23:59:59.000Z
In this paper we present electro-osmotic (EO) flow within a more traditional fluid mechanics framework. Specifically, the modified Bernoulli equation (viz. the energy equation, the mechanical energy equation, the pipe flow equation, etc.) is shown to be applicable to EO flows if an electrical potential energy term is also included. The form of the loss term in the modified Bernoulli equation is unaffected by the presence of an electric field; i.e., the loss term still represents the effect of wall shear stress, which can be represented via a friction factor. We show that that the friction factor for pure EO flow (no applied pressure gradient) varies inversely with the Reynolds number based on the Debeye length of the electric double layer. Expressions for friction factor for combined laminar pressure-driven and EO flow are also given. These are shown to be functions of Reynolds number and geometry, as well as the relative strength of the applied electric field to the applied pressure gradient.
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.
Some generalizations of the Raychaudhuri equation
Abreu, Gabriel
2010-01-01T23:59:59.000Z
The Raychaudhuri equation has seen extensive use in general relativity, most notably in the development of various singularity theorems. In this rather technical article we shall generalize the Raychaudhuri equation in several ways. First an improved version of the standard timelike Raychaudhuri equation is developed, where several key terms are lumped together as a divergence. This already has a number of interesting applications, both within the ADM formalism and elsewhere. Second, a spacelike version of the Raychaudhuri equation is briefly discussed. Third, a version of the Raychaudhuri equation is developed that does not depend on the use of normalized congruences. This leads to useful formulae for the "diagonal" part of the Ricci tensor. Fourth, a "two vector" version of the Raychaudhuri equation is developed that uses two congruences to effectively extract "off diagonal" information concerning the Ricci tensor.
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 Data Center Home Page on Delicious RankShale_Gas.pdfServiceDepartment ofEnergyPlusEnergy20106AOI Applicant NameDEPARTMENT Score
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 Data Center Home Page on Delicious RankShale_Gas.pdfServiceDepartment ofEnergyPlusEnergy20106AOI Applicant NameDEPARTMENT Score063-2011
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.
A MULTIDIMENSIONAL NONLINEAR SIXTH-ORDER QUANTUM DIFFUSION EQUATION
heat equation tn = n. The second one is the fourth-order DerridaLebowitzSpeerSpohn (DLSS) equation
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.
Electromagnetic Media with no Dispersion Equation
Ismo V. Lindell; Alberto Favaro
2013-03-25T23:59:59.000Z
It has been known through some examples that parameters of an electromagnetic medium can be so defined that there is no dispersion equation (Fresnel equation) to restrict the choice of the wave vector of a plane wave in such a medium, i.e., that the dispersion equation is satisfied identically for any wave vector. In the present paper, a more systematic study to define classes of media with no dispersion equation is attempted. The analysis makes use of coordinate-free four-dimensional formalism in terms of multivectors, multiforms and dyadics.
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.
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.
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
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{\
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
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.
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.
Nonlocal kinetic equation: integrable hydrodynamic reductions, symmetries
, Troitsk, Moscow Region, Russia Lebedev Physical Institute, Russian Academy of Sciences, Moscow Â§ SISSA, Ekaterinburg, Russia We study a new class of nonlinear kinetic equations recently derived in the context for the Whitham modulation systems for soliton equations. We prove that the N-component `cold-gas' hydro- dynamic
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.
NOTE / NOTE Allometric equations for young northern
Battles, John
. Vadeboncoeur, Mary A. Arthur, Russell D. Briggs, and Carrie R. Levine Abstract: Estimates of aboveground-specific equations for estimating aboveground biomass Farrah R. Fatemi, Ruth D. Yanai, Steven P. Hamburg, Matthew A relationships. Despite the widespread use of this approach, there is little information about whether equations
Elementary Differential Equations with Boundary Value Problems
William F. Trench
2014-02-24T23:59:59.000Z
Dec 1, 2013 ... In Sections 12.1 (The Heat Equation) and 12.2 (The Wave Equation) I devote .... Figure 1.1.1 shows typical graphs of P versus t for various values of P0. ...... Suppose a space vehicle is launched vertically and its fuel is ...
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
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.
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.
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.
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.
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...
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 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 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...
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...
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...
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...
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...
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...
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...
Academic Council Representatives 2009-2010 Title/Committee 2009/2010 Members
Maurer, Frank
Taryn Lenders ELECTED REPRESENTATIVES Management & Professional Staff Council Kathy Drewes General) John Wright (L) Travel Committee Taryn Lenders Shawna Sadler #12;
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 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...
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...
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...
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...
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...
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 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...
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...
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...
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...
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 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...
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 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...
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...
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 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...
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...
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...
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...
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...
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...
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...
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...
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...
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 ...
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
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
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.
A SOFTWARE SYSTEM FOR ANALYSING CERAMIC ARTEFACTS REPRESENTED BY 2D DRAWINGS
Borissova, Daniela
A SOFTWARE SYSTEM FOR ANALYSING CERAMIC ARTEFACTS REPRESENTED BY 2D DRAWINGS Gennady Agre1.hristov@gmail.com Abstract: The paper describes a part of an extensible system for analysing ceramic artefacts represented this function and using it for comparing artefacts are described. Key words: ceramics classification, curvature
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
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.
Representative Subsets For Big Data Learning using k-NN Graphs
Representative Subsets For Big Data Learning using k-NN Graphs Raghvendra Mall, Vilen Jumutc, Rocco a deterministic method to obtain subsets from big data which are a good representative of the inherent structure a subset for this big data network. The FURS selection technique selects nodes from different dense regions
Zaniolo, Carlo
Representing and Querying the Evolution of Databases and their Schemas in XML Fusheng Wang surprisingly effective solutions to the problem of representing and querying the evolution of databases for evolution [20, 19, 13]. Meanwhile, there is much current interest in publishing and viewing database
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
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 liquid-vapor equilibria of Ternary systems using neural networks
Swisher, Mathew M
2015-01-01T23:59:59.000Z
We develop a method based on neural networks for efficiently interpolating equations of state (EOS) for liquid-vapor equilibria of ternary mixtures. We investigate the performance of neural networks both when experimental ...
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.
Integral equations of scattering in one dimension
Vania E. Barlette; Marcelo M. Leite; Sadhan K. Adhikari
2001-03-05T23:59:59.000Z
A self-contained discussion of integral equations of scattering is presented in the case of centrally-symmetric potentials in one dimension, which will facilitate the understanding of more complex scattering integral equations in two and three dimensions. The present discussion illustrates in a simple fashion the concept of partial-wave decomposition, Green's function, Lippmann-Schwinger integral equations of scattering for wave function and transition operator, optical theorem and unitarity relation. We illustrate the present approach with a Dirac delta potential.
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.
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
On the solutions to the string equation
A. Schwarz
1991-09-10T23:59:59.000Z
The set of solutions to the string equation $[P,Q]=1$ where $P$ and $Q$ are differential operators is described.It is shown that there exists one-to-one correspondence between this set and the set of pairs of commuting differential operators.This fact permits us to describe the set of solutions to the string equation in terms of moduli spa- ces of algebraic curves,however the direct description is much simpler. Some results are obtained for the superanalog to the string equation where $P$ and $Q$ are considered as superdifferential operators. It is proved that this equation is invariant with respect to Manin-Radul, Mulase-Rabin and Kac-van de Leur KP-hierarchies.
Electric-Magnetic Duality and WDVV Equations
B. de Wit; A. Marshakov
2001-06-11T23:59:59.000Z
We consider the associativity (or WDVV) equations in the form they appear in Seiberg-Witten theory and prove that they are covariant under generic electric-magnetic duality transformations. We discuss the consequences of this covariance from various perspectives.
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.
Integral equations, fractional calculus and shift operator
D. Babusci; G. Dattoli; D. Sacchetti
2010-07-29T23:59:59.000Z
We present an extension of a previously developed method employing the formalism of the fractional derivatives to solve new classes of integral equations. This method uses different forms of integral operators that generalizes the exponential shift operator.
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 Problems for Fractional Diffusion Equations
Zuo, Lihua
2013-06-21T23:59:59.000Z
; t > 0; (1.13) combined with the initial condition u(x; 0) = f(x); ?1 : u^t = ?s2u^; t > 0; u^(s; 0) = f^(s): Solving the above equation, we obtain u...
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 ...
MATH 411 SPRING 2001 Ordinary Differential Equations
Alekseenko, Alexander
MATH 411 SPRING 2001 Ordinary Differential Equations Schedule # 749025 TR 01:00-02:15 316 Boucke Instructor: Alexander Alekseenko, 328 McAllister, 865-1984, alekseen@math.psu.edu The course
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
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.
Conformally Invariant Spinorial Equations in Six Dimensions
Carlos Batista
2015-06-04T23:59:59.000Z
This work deals with the conformal transformations in six-dimensional spinorial formalism. Several conformally invariant equations are obtained and their geometrical interpretation are worked out. Finally, the integrability conditions for some of these equations are established. Moreover, in the course of the article, some useful identities involving the curvature of the spinorial connection are attained and a digression about harmonic forms and more general massless fields is made.
Symmetric Instantons and Discrete Hitchin Equations
Ward, R S
2015-01-01T23:59:59.000Z
Self-dual Yang-Mills instantons on $R^4$ correspond to algebraic ADHM data. This paper describes how to specialize such ADHM data so that the instantons have a $T^2$ symmetry, and this in turn motivates an integrable discrete version of the 2-dimensional Hitchin equations. It is analogous to the way in which the ADHM data for $S^1$-symmetric instantons, or hyperbolic BPS monopoles, may be viewed as a discretization of the Nahm equations.
Painleve VI, Rigid Tops and Reflection Equation
A. Levin; M. Olshanetsky; A. Zotov
2006-06-01T23:59:59.000Z
We show that the Painlev{\\'e} VI equation has an equivalent form of the non-autonomous Zhukovsky-Volterra gyrostat. This system is a generalization of the Euler top in $C^3$ and include the additional constant gyrostat momentum. The quantization of its autonomous version is achieved by the reflection equation. The corresponding quadratic algebra generalizes the Sklyanin algebra. As by product we define integrable XYZ spin chain on a finite lattice with new boundary conditions.
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.
Lagrangian submanifolds and Hamilton-Jacobi equation
M. Barbero-Liñán; M. de León; D. Martín de Diego
2012-09-04T23:59:59.000Z
Lagrangian submanifolds are becoming a very essential tool to generalize and geometrically understand results and procedures in the area of mathematical physics. Here we use general Lagrangian submanifolds to provide a geometric version of the Hamilton-Jacobi equation. This interpretation allows us to study some interesting applications of Hamilton-Jacobi equation in holonomic, nonholonomic and time-dependent dynamics from a geometrical point of view.
Integration Rules for Loop Scattering Equations
Baadsgaard, Christian; Bourjaily, Jacob L; Damgaard, Poul H; Feng, Bo
2015-01-01T23:59:59.000Z
We formulate new integration rules for one-loop scattering equations analogous to those at tree-level, and test them in a number of non-trivial cases for amplitudes in scalar $\\phi^3$-theory. This formalism greatly facilitates the evaluation of amplitudes in the CHY representation at one-loop order, without the need to explicitly sum over the solutions to the loop-level scattering equations.
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.
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...
Charging Capacitors According to Maxwell's Equations: Impossible
Daniele Funaro
2014-11-02T23:59:59.000Z
The charge of an ideal parallel capacitor leads to the resolution of the wave equation for the electric field with prescribed initial conditions and boundary constraints. Independently of the capacitor's shape and the applied voltage, none of the corresponding solutions is compatible with the full set of Maxwell's equations. The paradoxical situation persists even by weakening boundary conditions, resulting in the impossibility to describe a trivial phenomenon such as the capacitor's charging process, by means of the standard Maxwellian theory.
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.
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.
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...
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...
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...
105TH CONGRESS REPORT " !HOUSE OF REPRESENTATIVES2d Session 105796
Hollaar, Lee A.
69006 105TH CONGRESS REPORT " !HOUSE OF REPRESENTATIVES2d Session 105796 DIGITAL MILLENNIUM the following CONFERENCE REPORT [To accompany H.R. 2281] The committee of conference on the disagreeing votes
105TH CONGRESS REPORT " !HOUSE OF REPRESENTATIVES2d Session 105452
Hollaar, Lee A.
59006 105TH CONGRESS REPORT " !HOUSE OF REPRESENTATIVES2d Session 105452 COPYRIGHT TERM EXTENSION, having considered the same, report favorably thereon with an amendment and recommend that the bill do
112TH CONGRESS REPORT " !HOUSE OF REPRESENTATIVES1st Session 112
Efficiency and Renewable Energy ................................. 22 84 Electricity Delivery and Energy66387 112TH CONGRESS REPORT " !HOUSE OF REPRESENTATIVES1st Session 112 ENERGY AND WATER III. Department of Energy: Energy Programs
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.
Active-space completely-renormalized equation-of-motioncoupled...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
equation-of-motion coupled-clusterformalism: Excited-state studies of green fluorescent Active-space completely-renormalized equation-of-motion...
From the Boltzmann equation to fluid mechanics on a manifold
Peter J. Love; Donato Cianci
2012-08-27T23:59:59.000Z
We apply the Chapman-Enskog procedure to derive hydrodynamic equations on an arbitrary surface from the Boltzmann equation on the surface.
1.12 Basic Theory of Differential Equations
PRETEX (Halifax NS) #1 1054 1999 Mar 05 10:59:16
2010-01-20T23:59:59.000Z
Feb 16, 2007 ... 1.12. Chapter Review. Basic Theory of Differential Equations. This chapter has provided an introduction to the theory of differential equations. A.
Hyperinstantons, the Beltrami Equation, and Triholomorphic Maps
Fré, P; Sorin, A S
2015-01-01T23:59:59.000Z
We consider the Beltrami equation for hydrodynamics and we show that its solutions can be viewed as instanton solutions of a more general system of equations. The latter are the equations of motion for an ${\\cal N}=2$ sigma model on 4-dimensional worldvolume (which is taken locally HyperK\\"ahler) with a 4-dimensional HyperK\\"ahler target space. By means of the 4D twisting procedure originally introduced by Witten for gauge theories and later generalized to 4D sigma-models by Anselmi and Fr\\'e, we show that the equations of motion describe triholomophic maps between the worldvolume and the target space. Therefore, the classification of the solutions to the 3-dimensional Beltrami equation can be performed by counting the triholomorphic maps. The counting is easily obtained by using several discrete symmetries. Finally, the similarity with holomorphic maps for ${\\cal N}=2$ sigma on Calabi-Yau space prompts us to reformulate the problem of the enumeration of triholomorphic maps in terms of a topological sigma mod...
Local Gravity Field Modeling by 2DFFT from Gravity Gradients
Stuttgart, Universität
The solution of the Laplace equation ((x, y, z) = 0 for z > 0), (x, y, z) = n=0 m=0 (anm cos nx cos my + bnm cos nx sin my+ cnm sin nx cos my + dnm sin nx sin my)e- n2+m2z Here, (x, y, z) satisfies. If we represent disturbing potential T as, T = n=0 m=0 (anm cos nx cos my + bnm cos nx sin my+ cnm sin
Electromagnetic field with constraints and Papapetrou equation
Z. Ya. Turakulov; A. T. Muminov
2006-01-12T23:59:59.000Z
It is shown that geometric optical description of electromagnetic wave with account of its polarization in curved space-time can be obtained straightforwardly from the classical variational principle for electromagnetic field. For this end the entire functional space of electromagnetic fields must be reduced to its subspace of locally plane monochromatic waves. We have formulated the constraints under which the entire functional space of electromagnetic fields reduces to its subspace of locally plane monochromatic waves. These constraints introduce variables of another kind which specify a field of local frames associated to the wave and contain some congruence of null-curves. The Lagrangian for constrained electromagnetic field contains variables of two kinds, namely, a congruence of null-curves and the field itself. This yields two kinds of Euler-Lagrange equations. Equations of first kind are trivial due to the constraints imposed. Variation of the curves yields the Papapetrou equations for a classical massless particle with helicity 1.
Some Wave Equations for Electromagnetism and Gravitation
Zi-Hua Weng
2010-08-11T23:59:59.000Z
The paper studies the inferences of wave equations for electromagnetic fields when there are gravitational fields at the same time. In the description with the algebra of octonions, the inferences of wave equations are identical with that in conventional electromagnetic theory with vector terminology. By means of the octonion exponential function, we can draw out that the electromagnetic waves are transverse waves in a vacuum, and rephrase the law of reflection, Snell's law, Fresnel formula, and total internal reflection etc. The study claims that the theoretical results of wave equations for electromagnetic strength keep unchanged in the case for coexistence of gravitational and electromagnetic fields. Meanwhile the electric and magnetic components of electromagnetic waves can not be determined simultaneously in electromagnetic fields.
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.
Chemical potential and the gap equation
Huan Chen; Wei Yuan; Lei Chang; Yu-Xin Liu; Thomas Klahn; Craig D. Roberts
2008-07-17T23:59:59.000Z
In general the kernel of QCD's gap equation possesses a domain of analyticity upon which the equation's solution at nonzero chemical potential is simply obtained from the in-vacuum result through analytic continuation. On this domain the single-quark number- and scalar-density distribution functions are mu-independent. This is illustrated via two models for the gap equation's kernel. The models are alike in concentrating support in the infrared. They differ in the form of the vertex but qualitatively the results are largely insensitive to the Ansatz. In vacuum both models realise chiral symmetry in the Nambu-Goldstone mode and in the chiral limit, with increasing chemical potential, exhibit a first-order chiral symmetry restoring transition at mu~M(0), where M(p^2) is the dressed-quark mass function. There is evidence to suggest that any associated deconfinement transition is coincident and also of first-order.
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...
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
Differential Equations I Lab #8: Differential Equations and Linear Algebra with Mathematica
Peckham, Bruce B.
and NDSolve for differential equations, and LinearSolve, Eigenvector, Eigen- value, NullSpace, Inverse/instructor each output line generated by Mathematica. If you elect to write a report, your report should include an analytical solution to y + 3y + 2y = 3e4t. #12;2. The logistic differential equation (again). Consider
Interplay of Boltzmann equation and continuity equation for accelerated electrons in solar flares
Codispoti, Anna
2015-01-01T23:59:59.000Z
During solar flares a large amount of electrons are accelerated within the plasma present in the solar atmosphere. Accurate measurements of the motion of these electrons start becoming available from the analysis of hard X-ray imaging-spectroscopy observations. In this paper, we discuss the linearized perturbations of the Boltzmann kinetic equation describing an ensemble of electrons accelerated by the energy release occurring during solar flares. Either in the limit of high energy or at vanishing background temperature such an equation reduces to a continuity equation equipped with an extra force of stochastic nature. This stochastic force is actually described by the well known energy loss rate due to Coulomb collision with ambient particles, but, in order to match the collision kernel in the linearized Boltzmann equation it needs to be treated in a very specific manner. In the second part of the paper the derived continuity equation is solved with some hyperbolic techniques, and the obtained solution is wr...
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.
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.
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.
Principle of Least Squares Regression Equations Residuals Correlation and Regression
Watkins, Joseph C.
Principle of Least Squares Regression Equations Residuals Topic 3 Correlation and Regression Linear Regression I 1 / 15 #12;Principle of Least Squares Regression Equations Residuals Outline Principle of Least Squares Regression Equations Residuals 2 / 15 #12;Principle of Least Squares Regression Equations
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.
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 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...
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...
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.
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.
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
MULTIVARIATE PUBLIC KEY CRYPTOSYSTEMS FROM DIOPHANTINE EQUATIONS
Gao, Shuhong
MULTIVARIATE PUBLIC KEY CRYPTOSYSTEMS FROM DIOPHANTINE EQUATIONS SHUHONG GAO AND RAYMOND HEINDL for multivariate public key cryptosystems, which combines ideas from both triangular and oil-vinegar schemes. We the framework. 1. Introduction 1.1. Multivariate Public Key Cryptography. Public key cryptography plays
Partial Differential Equations of Electrostatic MEMS
Fournier, John J.F.
) The University of British Columbia July 2007 c Yujin Guo 2007 #12;Abstract Micro-Electromechanical Systems (MEMSPartial Differential Equations of Electrostatic MEMS by Yujin Guo B.Sc., China Three Gorges their initial development in the 1980s, MEMS has revolutionized numerous branches of science and industry
Optimal polarisation equations in FLRW universes
Tram, Thomas; Lesgourgues, Julien, E-mail: thomas.tram@epfl.ch, E-mail: Julien.Lesgourgues@cern.ch [Institut de Théorie des Phénomènes Physiques, École Polytechnique Fédérale de Lausanne, CH-1015, Lausanne (Switzerland)
2013-10-01T23:59:59.000Z
This paper presents the linearised Boltzmann equation for photons for scalar, vector and tensor perturbations in flat, open and closed FLRW cosmologies. We show that E- and B-mode polarisation for all types can be computed using only a single hierarchy. This was previously shown explicitly for tensor modes in flat cosmologies but not for vectors, and not for non-flat cosmologies.
NOTES ON THE JACOBI EQUATION ALEXANDER LYTCHAK
Lytchak, Alexander
NOTES ON THE JACOBI EQUATION ALEXANDER LYTCHAK Abstract. We discuss some properties of Jacobi spaces of Jacobi fields and give some applica- tions to Riemannian geometry. 1. Introduction This note is essentially a collection of results about conjugate points of Jacobi fields for which we could not find
DIFFERENTIAL EQUATIONS FOR FLOW IN RESERVOIRS By ...
2008-08-23T23:59:59.000Z
where Ap is the applied pressure drop across the sample, 1.1 is the viscosity of .... When this is done we have, in theory, all the information necessary to solve ..... The simplicity of this equation indicates the fundamental role that total ve-.
Cubic Nonlinear Schrodinger Equation with vorticity
Caliari, Marco
) Equation, plays a fundamental role in describing the hydrodynamics of a BoseEinstein condensate [4] (see Bose particles, as recently described within Stochastic Quantization by Lagrangian Variational the general one-particle Bose dynamics out of dynamical equilibrium. We observe that in the most simple
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...
Conservation of Energy Thermodynamic Energy Equation
Hennon, Christopher C.
, is derived beginning with an alternative form of the 1st Law of Thermodynamics, the internal energy formConservation of Energy Thermodynamic Energy Equation The previous two sections dealt addresses the conservation of energy. The first law of thermodynamics, of which you should be very familiar
Construction of tree volume tables from integration of taper equations
Coffman, Jerry Gale
1973-01-01T23:59:59.000Z
) were used as a basis for comparison. The integrated taper equation appears to be as accurate as the tradi- 2 tional volume equation V a + bD H, but somewhat less accurate than volume equations involving form class measurements. A computer program... and help throughout my graduate career. TABLE OF CONTENTS CHAPTER Page I INTRODUCTION AND OBJECTIVES II REVIEW OF LITERATURE III METHODS Sample Data Procedure Analysis 1 Analysis 2 13 Integration of Taper Equations to Volume Equations Tests...
The Semiclassical Einstein Equation on Cosmological Spacetimes
Daniel Siemssen
2015-03-06T23:59:59.000Z
The subject of this thesis is the coupling of quantum fields to a classical gravitational background in a semiclassical fashion. It contains a thorough introduction into quantum field theory on curved spacetime with a focus on the stress-energy tensor and the semiclassical Einstein equation. Basic notions of differential geometry, topology, functional and microlocal analysis, causality and general relativity will be summarised, and the algebraic approach to QFT on curved spacetime will be reviewed. Apart from these foundations, the original research of the author and his collaborators will be presented: Together with Fewster, the author studied the up and down structure of permutations using their decomposition into so-called atomic permutations. The relevance of these results to this thesis is their application in the calculation of the moments of quadratic quantum fields. In a work with Pinamonti, the author showed the local and global existence of solutions to the semiclassical Einstein equation in flat cosmological spacetimes coupled to a scalar field by solving simultaneously for the quantum state and the Hubble function in an integral-functional equation. The theorem is proved with a fixed-point theorem using the continuous functional differentiability and boundedness of the integral kernel of the integral-functional equation. In another work with Pinamonti the author proposed an extension of the semiclassical Einstein equations which couples the moments of a stochastic Einstein tensor to the moments of the quantum stress-energy tensor. In a toy model of a Newtonianly perturbed exponentially expanding spacetime it is shown that the quantum fluctuations of the stress-energy tensor induce an almost scale-invariant power spectrum for the perturbation potential and that non-Gaussianties arise naturally.
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
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 is often difficult in hydropower modeling because the time scale of price variability (hours or less into revenue functions used in hydropower reservoir optimization models with larger time steps (weekly, monthly
Representing energy technologies in top-down economic models using bottom-up information
take energy and other prices as exogenous and, therefore, may overestimate the potential penetrationRepresenting energy technologies in top-down economic models using bottom-up information J.R. Mc 02139, USA c Laboratory for Energy and the Environment, M.I.T., Cambridge, MA 02139, USA Available
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, United Kingdom {kristin.stock@nottingham.ac.uk} 2 Allworlds Geothinking, Nottingham, United Kingdom 3). This paper describes an approach to the description of OGC web services using OWL-S that takes advantage
Bowyer, Kevin W.
IJCB 2011 Conference Report The International Joint Conference on Biometrics represents the joining of two major conference series in biometrics research, the Biometrics Theory, Applications and Systems (BTAS) tradition and the International Conference on Biometrics (ICB) tradition. Measured by the number
Representing Genomic Knowledge in the UMLS Semantic Network , Carol Friedman, Ph.D.2,1
Yu, Hong
Representing Genomic Knowledge in the UMLS Semantic Network Hong Yu1 , Carol Friedman, Ph.D.2 2 Department of Computer Science, Queens College CUNY 3 Center for Genomics Research, Columbia University 4 Yeshiva University Genomics research has a significant impact on the understanding and treatment
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
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
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
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
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
Curriculum Vitae December 2006 (A brief description of some representative results)
Gao, Hongjun
Curriculum Vitae December 2006 Appendix: (A brief description of some representative results) (1 with the sample 1 #12;Curriculum Vitae December 2006 bias changing, but the wavelength is constant. Figure 2 STM-dependent competition between molecule-substrate and the laterally intermolecular interactions. 2 #12;Curriculum Vitae
Solubility and freezing effects of Fe2+ solutions representative of upper tropospheric and lower
Solubility and freezing effects of Fe2+ and Mg2+ in H2SO4 solutions representative of upper, it is unclear how these impurities could affect particle freezing. To address these questions, we have particles. Bulk freezing experiments were also carried out on H2SO4 solutions containing amounts
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
DOE Honors WIPP Representative for Cutting Travel Costs, Greenhouse Gas Emissions
Broader source: Energy.gov [DOE]
WASHINGTON, D.C. – A representative of the Waste Isolation Pilot Plant (WIPP) near Carlsbad, N.M., on Tuesday received the Secretary of Energy’s Appreciation Award for her efforts to improve sustainability and reduce travel costs and the number of fleet vehicles.
Curtarolo, Stefano
Materials Cartography: Representing and Mining Materials Space Using Structural and Electronic, United States Center for Materials Genomics, and ¶ Materials Science, Electrical Engineering, Physics: As the proliferation of high-throughput approaches in materials science is increasing the wealth of data in the field
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.
Kovalyov, Mikhail [Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1 (Canada)
2010-06-15T23:59:59.000Z
In this article the sets of solutions of the sine-Gordon equation and its linearization the Klein-Gordon equation are discussed and compared. It is shown that the set of solutions of the sine-Gordon equation possesses a richer structure which partly disappears during linearization. Just like the solutions of the Klein-Gordon equation satisfy the linear superposition principle, the solutions of the sine-Gordon equation satisfy a nonlinear superposition principle.
Houston, Christy Michelle
2002-01-01T23:59:59.000Z
increased costs of production. The primary objective of this research is to assess the farm level economic implications of the House of Representatives and the Senate farm bill proposals on representative rice farms from six different rice-producing 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.
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.
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.
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
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
Financial Derivatives and Partial Differential Equations
Almgren, Robert F.
at which trades actually occured; this picture contains 5400 data points. The fastest oscillations, on scales of a few seconds, represent "bounce" between bid and ask prices. But complicated structure half-hour time intervals, for 1999 (about 3000 data values). Although the direction of the changes
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.
Fundamental Equation of State for Deuterium
Richardson, I. A.; Leachman, J. W., E-mail: jacob.leachman@wsu.edu [HYdrogen Properties for Energy Research (HYPER) Laboratory, School of Mechanical and Materials Engineering, Washington State University, P.O. Box 642920, Pullman, Washington 99164 (United States); Lemmon, E. W. [Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305 (United States)] [Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305 (United States)
2014-03-15T23:59:59.000Z
World utilization of deuterium is anticipated to increase with the rise of fusion-energy machines such as ITER and NIF. We present a new fundamental equation of state for the thermodynamic properties of fluid deuterium. Differences between thermodynamic properties of orthodeuterium, normal deuterium, and paradeuterium are described. Separate ideal-gas functions were fitted for these separable forms together with a single real-fluid residual function. The equation of state is valid from the melting line to a maximum pressure of 2000 MPa and an upper temperature limit of 600 K, corresponding to available experimental measurements. The uncertainty in predicted density is 0.5% over the valid temperature range and pressures up to 300 MPa. The uncertainties of vapor pressures and saturated liquid densities are 2% and 3%, respectively, while speed-of-sound values are accurate to within 1% in the liquid phase.
Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
Noble, J H
2015-01-01T23:59:59.000Z
The Foldy--Wouthuysen transformation is known to uncover the nonrelativistic limit of a generalized Dirac Hamiltonian, lending an intuitive physical interpretation to the effective operators within Schr\\"{o}dinger--Pauli theory. We here discuss the opposite, ultrarelativistic limit which requires the use of a fundamentally different expansion where the leading kinetic term in the Dirac equation is perturbed by the mass of the particle and other interaction (potential) terms, rather than vice versa. The ultrarelativistic decoupling transformation is applied to free Dirac particles (in the Weyl basis) and to high-energy tachyons, which are faster-than-light particles described by a fully Lorentz-covariant equation. The effective gravitational interactions are found. For tachyons, the dominant gravitational interaction term in the high-energy limit is shown to be attractive, and equal to the leading term for subluminal Dirac particles (tardyons) in the high-energy limit.
Ultrarelativistic Decoupling Transformation for Generalized Dirac Equations
J. H. Noble; U. D. Jentschura
2015-06-05T23:59:59.000Z
The Foldy--Wouthuysen transformation is known to uncover the nonrelativistic limit of a generalized Dirac Hamiltonian, lending an intuitive physical interpretation to the effective operators within Schr\\"{o}dinger--Pauli theory. We here discuss the opposite, ultrarelativistic limit which requires the use of a fundamentally different expansion where the leading kinetic term in the Dirac equation is perturbed by the mass of the particle and other interaction (potential) terms, rather than vice versa. The ultrarelativistic decoupling transformation is applied to free Dirac particles (in the Weyl basis) and to high-energy tachyons, which are faster-than-light particles described by a fully Lorentz-covariant equation. The effective gravitational interactions are found. For tachyons, the dominant gravitational interaction term in the high-energy limit is shown to be attractive, and equal to the leading term for subluminal Dirac particles (tardyons) in the high-energy limit.
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.
Quantum Potential Via General Hamilton - Jacobi Equation
Maedeh Mollai; Mohammad Razavi; Safa Jami; Ali Ahanj
2011-10-29T23:59:59.000Z
In this paper, we sketch and emphasize the automatic emergence of a quantum potential (QP) in general Hamilton-Jacobi equation via commuting relations, quantum canonical transformations and without the straight effect of wave function. The interpretation of QP in terms of independent entity is discussed along with the introduction of quantum kinetic energy. The method has been extended to relativistic regime, and same results have been concluded.
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.
Wave equation prediction of pile bearing capacity
Bartoskewitz, Richard Edward
1970-01-01T23:59:59.000Z
are predicted by using a numerical method for solving the one-dimensional wave equation. The predicted capac- ities are compared with field data from static load tests. The results obtained by using currently accepted soil parameters, which characterize... the dynamic response of a soil to impact loading, are compared to those attained by using soil parameters which were recently developed from model pile tests . A study is made to determine the qualitative affects that the soil parameters have...
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.
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.
Weakly nonlocal fluid mechanics - the Schrodinger equation
P. Van; T. Fulop
2004-06-09T23:59:59.000Z
A weakly nonlocal extension of ideal fluid dynamics is derived from the Second Law of thermodynamics. It is proved that in the reversible limit the additional pressure term can be derived from a potential. The requirement of the additivity of the specific entropy function determines the quantum potential uniquely. The relation to other known derivations of Schr\\"odinger equation (stochastic, Fisher information, exact uncertainty) is clarified.
Towards a characteristic equation for permeability
Siddiqui, Adil Ahmed
2008-10-10T23:59:59.000Z
FOR PERMEABILITY A Thesis by ADIL AHMED SIDDIQUI 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 2008... Major Subject: Petroleum Engineering TOWARDS A CHARACTERISTIC EQUATION FOR PERMEABILITY A Thesis by ADIL AHMED SIDDIQUI Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment...
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.
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.
Total Operators and Inhomogeneous Proper Values Equations
Jose G. Vargas
2015-07-09T23:59:59.000Z
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.
Guiding center equations for ideal magnetohydrodynamic modes
White, R. B. [Plasma Physics Laboratory, Princeton University, P.O. Box 451, Princeton, New Jersey 08543 (United States)
2013-04-15T23:59:59.000Z
Guiding center simulations are routinely used for the discovery of mode-particle resonances in tokamaks, for both resistive and ideal instabilities and to find modifications of particle distributions caused by a given spectrum of modes, including large scale avalanches during events with a number of large amplitude modes. One of the most fundamental properties of ideal magnetohydrodynamics is the condition that plasma motion cannot change magnetic topology. The conventional representation of ideal magnetohydrodynamic modes by perturbing a toroidal equilibrium field through {delta}B-vector={nabla} Multiplication-Sign ({xi}-vector Multiplication-Sign B-vector), however, perturbs the magnetic topology, introducing extraneous magnetic islands in the field. A proper treatment of an ideal perturbation involves a full Lagrangian displacement of the field due to the perturbation and conserves magnetic topology as it should. In order to examine the effect of ideal magnetohydrodynamic modes on particle trajectories, the guiding center equations should include a correct Lagrangian treatment. Guiding center equations for an ideal displacement {xi}-vector are derived which preserve the magnetic topology and are used to examine mode particle resonances in toroidal confinement devices. These simulations are compared to others which are identical in all respects except that they use the linear representation for the field. Unlike the case for the magnetic field, the use of the linear field perturbation in the guiding center equations does not result in extraneous mode particle resonances.
Nonholonomic Hamilton-Jacobi equation and Integrability
Tomoki Ohsawa; Anthony M. Bloch
2009-12-18T23:59:59.000Z
We discuss an extension of the Hamilton-Jacobi theory to nonholonomic mechanics with a particular interest in its application to exactly integrating the equations of motion. We give an intrinsic proof of a nonholonomic analogue of the Hamilton--Jacobi theorem. Our intrinsic proof clarifies the difference from the conventional Hamilton-Jacobi theory for unconstrained systems. The proof also helps us identify a geometric meaning of the conditions on the solutions of the Hamilton-Jacobi equation that arise from nonholonomic constraints. The major advantage of our result is that it provides us with a method of integrating the equations of motion just as the unconstrained Hamilton--Jacobi theory does. In particular, we build on the work by Iglesias-Ponte, de Leon, and Martin de Diego so that the conventional method of separation of variables applies to some nonholonomic mechanical systems. We also show a way to apply our result to systems to which separation of variables does not apply.
Guiding Center Equations for Ideal Magnetohydrodynamic Modes
Roscoe B. White
2013-02-21T23:59:59.000Z
Guiding center simulations are routinely used for the discovery of mode-particle resonances in tokamaks, for both resistive and ideal instabilities and to find modifications of particle distributions caused by a given spectrum of modes, including large scale avalanches during events with a number of large amplitude modes. One of the most fundamental properties of ideal magnetohydrodynamics is the condition that plasma motion cannot change magnetic topology. The conventional representation of ideal magnetohydrodynamic modes by perturbing a toroidal equilibrium field through ?~B = ? X (? X B) however perturbs the magnetic topology, introducing extraneous magnetic islands in the field. A proper treatment of an ideal perturbation involves a full Lagrangian displacement of the field due to the perturbation and conserves magnetic topology as it should. In order to examine the effect of ideal magnetohydrodynamic modes on particle trajectories the guiding center equations should include a correct Lagrangian treatment. Guiding center equations for an ideal displacement ? are derived which perserve the magnetic topology and are used to examine mode particle resonances in toroidal confinement devices. These simulations are compared to others which are identical in all respects except that they use the linear representation for the field. Unlike the case for the magnetic field, the use of the linear field perturbation in the guiding center equations does not result in extraneous mode particle resonances.
Measuring the dark matter equation of state
Ana Laura Serra; Mariano Javier de León Domínguez Romero
2011-05-30T23:59:59.000Z
The nature of the dominant component of galaxies and clusters remains unknown. While the astrophysics community 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 that combines kinematic and gravitational lensing data to test the widely adopted assumption of pressureless dark matter. Following 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 because typically the masses determined with lensing are larger than those obtained through kinematic methods. We have tested our techniques using simulations and we have also analyzed possible sources of error that could invalidate or mimic our results. In the light of this result, we can now suggest that the understanding of the nature of dark matter requires a complete general relativistic analysis.
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.
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.
Andersohn, Alexander
2013-08-27T23:59:59.000Z
-suited for multiscale modeling, I came across the term representative volume element (or RVE) used commonly in biomaterials. Not finding a definition for the mesoscale well-suited for the aim of multiscale modeling, an alternative definition was provided herein... are similar, there are some clear differences. The differences outlined in this section are evidence that a new definition for the mesoscale, tailored for multiscale modeling, was needed. Some elements of the RVE, which is mostly used in biomaterials...
Lee, Lori L
2013-02-22T23:59:59.000Z
and content by: Marian Eide (Fellows Advisor) Edward A. Funkhouser (ExecutiveDirector) April 2000 Group: Humanities ABSTRACT Family Ties: Representing the Relationships Between Parents and Children in Contemporary Irish Political Poetry. (April 2000...) Lori L. Lee Department of English Texas A & M University Fellows Advisor: Dr. Marian Eide Department of English The implications of Irish historical occurrences such as the colonization of the Irish by the English, the partial independence...
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".
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.
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)
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.
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.
Stochastic partial differential equations with singular terminal condition
Popier, Alexandre
Stochastic partial differential equations with singular terminal condition A Matoussi, Lambert Piozin, A Popier To cite this version: A Matoussi, Lambert Piozin, A Popier. Stochastic partial differential equations with singular terminal condition. 2015. HAL Id: hal-01152687 https
Pad\\'e interpolation for elliptic Painlev\\'e equation
Noumi, Masatoshi; Yamada, Yasuhiko
2012-01-01T23:59:59.000Z
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.
Outline for Linear Equations and Inequalities of 2 variables
charlotb
2010-04-15T23:59:59.000Z
Outline for Linear Equations and Inequalities of 2 variables. A. 1. Substitute any value for x in the equation and solve for y. This results in a point (x, y). OR.
EFFECTIVE MACROSCOPIC DYNAMICS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS IN PERFORATED
Duan, Jinqiao
EFFECTIVE MACROSCOPIC DYNAMICS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS IN PERFORATED DOMAINS equation defined on a domain perforated with small holes or heterogeneities. The homogenized effective, effective macroscopic model, stochastic homogenization, white noise, probability distribution, perforated
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
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.
Derivation of the Camassa-Holm equations for elastic waves
H. A. Erbay; S. Erbay; A. Erkip
2015-02-10T23:59:59.000Z
In this paper we provide a formal derivation of both the Camassa-Holm equation and the fractional Camassa-Holm equation for the propagation of small-but-finite amplitude long waves in a nonlocally and nonlinearly elastic medium. We first show that the equation of motion for the nonlocally and nonlinearly elastic medium reduces to the improved Boussinesq equation for a particular choice of the kernel function appearing in the integral-type constitutive relation. We then derive the Camassa-Holm equation from the improved Boussinesq equation using an asymptotic expansion valid as nonlinearity and dispersion parameters tend to zero independently. Our approach follows mainly the standard techniques used widely in the literature to derive the Camassa-Holm equation for shallow water waves. The case where the Fourier transform of the kernel function has fractional powers is also considered and the fractional Camassa-Holm equation is derived using the asymptotic expansion technique.
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.
A characterization of causal automorphisms by wave equations
Do-Hyung Kim
2011-11-07T23:59:59.000Z
A characterization of causal automorphism on Minkowski spacetime is given by use of wave equation. The result shows that causal analysis of spacetime may be replaced by studies of wave equation on manifolds.
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
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
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.
Nonlinear Integral Equations for the Inverse Problem in Corrosion ...
2012-06-15T23:59:59.000Z
Nonlinear Integral Equations for the Inverse. Problem in Corrosion Detection from Partial. Cauchy Data. Fioralba Cakoni. Department of Mathematical Sciences, ...
Theory Revision in Equation Discovery Ljupco Todorovski and Saso Dzeroski
Dzeroski, Saso
.Dzeroski@ijs.si Abstract. State of the art equation discovery systems start the discov- ery process from scratch, rather the accuracy of the model. 1 Introduction Most of the existing equation discovery systems make use of a very neglected by the equation discovery systems are the existing models in the domain. Rather than starting
Reasoning About Systems of Physics Equations Chun Wai Liew1
Liew, Chun Wai
Reasoning About Systems of Physics Equations Chun Wai Liew1 and Donald E. Smith2 1 Department Physics require the student to enter a system of algebraic equations as the answer. Tutoring systems must presents an approach that accepts from the student a system of equations describing the physics
VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS, AND ASYMPTOTICS FOR
Gomes, Diogo
VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS, AND ASYMPTOTICS FOR HAMILTONIAN SYSTEMS DIOGO:dgomes@math.ist.utl.pt Abstract. In this paper we apply the theory of viscosity solu- tions of Hamilton-Jacobi equations) that are characteristics of viscosity solutions of Hamilton-Jacobi equations, (2) H(P + Dxu, x) = H
VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS, AND ASYMPTOTICS FOR
VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS, AND ASYMPTOTICS FOR HAMILTONIAN SYSTEMS DIOGO. In this paper we apply the theory of viscosity solu- tions of Hamilton-Jacobi equations to understand) with cer- tain minimizing properties) and viscosity solutions of Hamilton-Jacobi equations (2) H(P + Dxu, x
A Fractional Lie Group Method For Anomalous Diffusion Equations
Guo-cheng Wu
2010-09-21T23:59:59.000Z
Lie group method provides an efficient tool to solve a differential equation. This paper suggests a fractional partner for fractional partial differential equations using a fractional characteristic method. A space-time fractional diffusion equation is used as an example to illustrate the effectiveness of the Lie group method.
Lagrangian Reduction, the EulerPoincare Equations, and Semidirect Products
Marsden, Jerrold
reduction for semidirect products, which applies to examples such as the heavy top, com- pressible fluids equations for a fluid or a rigid body, namely Lie-Poisson systems on the dual of a Lie algebra and their Lagrangian counterpart, the "pure" Euler-Poincar´e equations on a Lie algebra. The Lie-Poisson Equations
EXISTENCE OF INSENSITIZING CONTROLS FOR A SEMILINEAR HEAT EQUATION WITH
González Burgos, Manuel
EXISTENCE OF INSENSITIZING CONTROLS FOR A SEMILINEAR HEAT EQUATION WITH A SUPERLINEAR NONLINEARITY system of heat equations, the first one of semilinear type. In addition, the control enters on the second by D.G.E.S. (Spain), Grant PB981134. Abstract In this paper we consider a semilinear heat equation (in
Partitioning Multivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanal-
International Association for Cryptologic Research (IACR)
Partitioning Multivariate Polynomial Equations via Vertex Separators for Algebraic Cryptanal- ysis. In this paper, we apply similar graph theory techniques to systems of multivariate polynomial equations to a system of multivariate polynomial equations is an NP-complete problem [7, Ch. 3.9]. A variety of solution
Solution of the Percus-Yevick equation for hard discs
M. Adda-Bedia; E. Katzav; D. Vella
2008-01-31T23:59:59.000Z
We solve the Percus-Yevick equation in two dimensions by reducing it to a set of simple integral equations. We numerically obtain both the pair correlation function and the equation of state for a hard disc fluid and find good agreement with available Monte-Carlo calculations. The present method of resolution may be generalized to any even dimension.
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
Long-wave instabilities and saturation in thin film equations
Pugh, Mary
to shorter wavelengths which then dissipate the energy. The nonlinearity in the KS equation is advective.2) The equation arises as an interface model in bio-fluids [15], solar convec- tion [19], and binary alloys [48Long-wave instabilities and saturation in thin film equations A. L. Bertozzi Department
Longwave instabilities and saturation in thin film equations
Pugh, Mary
then dissipate the energy. The nonlinearity in the KS equation is advective, and a#ects the dyÂ namics di.2) The equation arises as an interface model in bioÂfluids [15], solar convecÂ tion [19], and binary alloys [48LongÂwave instabilities and saturation in thin film equations A. L. Bertozzi Department
UNCONDITIONALLY STABLE METHODS FOR HAMILTON-JACOBI EQUATIONS
UNCONDITIONALLY STABLE METHODS FOR HAMILTON-JACOBI EQUATIONS KENNETH HVISTENDAHL KARLSEN AND NILS to the Cauchy problem for Hamilton-Jacobi equations of the form u t + H(Dxu) = 0. The methods are based stable numerical methods for the Cauchy problem for multi-dimensional Hamilton-Jacobi equations ( u t +H
Developments of the Price equation and natural selection under uncertainty
Grafen, Alan
success, following Darwin (1859). Here, this project is pursued by developing the Price equation, ¢rstDevelopments of the Price equation and natural selection under uncertainty Alan Grafen Department to employ these approaches. Here, a new theore- tical development arising from the Price equation provides
Heavy tailed K distributions imply a fractional advection dispersion equation
Meerschaert, Mark M.
Dispersion Equation (FADE) to model contaminant transport in porous media. This equation characterizes, and Particle Jumps Equations of contaminant transport in porous media are based on assumptions about hydraulic governing groundwater flow (e.g., Freeze and Cherry, 1979): h K v - = (1) where v is average velocity
4. Reaction equilibria 4.1 The Saha equation
Pohl, Martin Karl Wilhelm
4. Reaction equilibria 4.1 The Saha equation If particles and radiation are in equilibrium volume with all electrons, and thus d3 x = n-1 e . Hence we finally derive the Saha equation that, using into Saha's equation then gives the ionization fraction = Ni+1 Ni + Ni+1 2 1 - 10-7 3 · 10-4 (4
Radon transform and kinetic equations in tomographic representation
V. N. Chernega; V. I. Man'ko; B. I. Sadovnikov
2009-11-01T23:59:59.000Z
Statistical properties of classical random process are considered in tomographic representation. The Radon integral transform is used to construct the tomographic form of kinetic equations. Relation of probability density on phase space for classical systems with tomographic probability distributions is elucidated. Examples of simple kinetic equations like Liouville equations for one and many particles are studied in detail.
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
Mortar spectral element discretization of Darcy's equations in nonhomogeneous medium
Paris-Sud XI, Université de
Mortar spectral element discretization of Darcy's equations in nonhomogeneous medium Mouna Daadaa Cedex 05 France. daadaa@ann.jussieu.fr 4 mai 2010 Abstract : We consider Darcy's equations. They turn out to be in good coherency with the theoretical results. R´esum´e : Les ´equations de Darcy mod
IDENTIFICATION OF MOBILITIES FOR THE BUCKLEYLEVERETT EQUATION BY FRONT TRACKING
IDENTIFICATION OF MOBILITIES FOR THE BUCKLEYLEVERETT EQUATION BY FRONT TRACKING VIDAR HAUGSE Multi--phase flow in porous media is modelled by Darcy's law. This empirical relation relates is also used to solve the saturation equation in a commercial reservoir simulator [1]. 2. Equations
Two-component equations modelling water waves with constant vorticity
Joachim Escher; David Henry; Boris Kolev; Tony Lyons
2014-09-30T23:59:59.000Z
In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this equation using a geometrical framework which allows us to recast this equation as a geodesic flow on an infinite dimensional manifold. Finally, we provide a criteria for global existence.
The Whitham Equation as a Model for Surface Water Waves
Daulet Moldabayev; Henrik Kalisch; Denys Dutykh
2014-10-30T23:59:59.000Z
The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham equation incorporates the full linear dispersion relation of the water wave problem, it is thought to provide a more faithful description of shorter waves of small amplitude than traditional long wave models such as the KdV equation. In this work, we identify a scaling regime in which the Whitham equation can be derived from the Hamiltonian theory of surface water waves. The Whitham equation is integrated numerically, and it is shown that the equation gives a close approximation of inviscid free surface dynamics as described by the Euler equations. The performance of the Whitham equation as a model for free surface dynamics is also compared to two standard free surface models: the KdV and the BBM equation. It is found that in a wide parameter range of amplitudes and wavelengths, the Whitham equation performs on par with or better than both the KdV and BBM equations.
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
Variational Approach for Fractional Partial Differential Equations
Guo-cheng Wu
2010-06-25T23:59:59.000Z
Fractional variational approach has gained much attention in recent years. There are famous fractional derivatives such as Caputo derivative, Riesz derivative and Riemann-Liouville derivative. Several versions of fractional variational principles are proposed. However, it becomes difficult to apply the existing fractional variational theories to fractional differential models, due to the definitions of fractional variational derivatives which not only contain the left fractional derivatives but also appear right ones. In this paper, a new definition of fractional variational derivative is introduced by using a modified Riemann-Liouville derivative and the fractional Euler-Lagrange principle is established for fractional partial differential equations.
Noncommutative Algebraic Equations and Noncommutative Eigenvalue Problem
Albert Schwarz
2000-04-27T23:59:59.000Z
We analyze the perturbation series for noncommutative eigenvalue problem $AX=X\\lambda$ where $\\lambda$ is an element of a noncommutative ring, $ A$ is a matrix and $X$ is a column vector with entries from this ring. As a corollary we obtain a theorem about the structure of perturbation series for Tr $x^r$ where $x$ is a solution of noncommutative algebraic equation (for $r=1$ this theorem was proved by Aschieri, Brace, Morariu, and Zumino, hep-th/0003228, and used to study Born-Infeld lagrangian for the gauge group $U(1)^k$).