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1

Murphy, Katherine A. Estimation of time- and state-dependent delays and other parameters in functional differential equations. Hampton, Va: ICASE, 1988.

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2

Fisher, D. J. A directory of arrhenius parameters: Metals. Durnten-Zurich: Trans Tech, 2014.

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3

Greiner, Walter, and Horst Stöcker, eds. The Nuclear Equation of State. Boston, MA: Springer US, 1989. http://dx.doi.org/10.1007/978-1-4613-0583-5.

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4

NATO Advanced Study Institute on the Nuclear Equation of State (1989 Peñíscola, Spain). The nuclear equation of state. New York: Plenum Press, 1989.

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5

Ronchi, Claudio, Igor Lvovitch Iosilevski, and Eugene Solomonovich Yakub. Equation of State of Uranium Dioxide. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18603-5.

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6

Carpenter, Gregory S. A test for detecting and identifying unequal parameters in simultaneous-equation models. West Lafayette, Ind: Institute for Research in the Behavioral, Economic, and Management Sciences, Krannert Graduate School of Management, Purdue University, 1988.

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7

Roussel, Marc R. Functional equation methods in steady-state enzyme kinetics. Ottawa: National Library of Canada, 1990.

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8

Ronchi, C. Equation of State of Uranium Dioxide: Data Collection. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004.

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9

Kreiss, Gunilla. Convergence to steady state of solutions of Burgers' equation. Hampton, Va: ICASE, 1985.

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10

Michelassi, V. Solution of the steady state incompressible Navier-Stokes equations in curvilinear non orthogonal coordinates. Rhode Saint Genese, Belgium: von Karman Institute for Fluid Dynamics, 1986.

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11

Selected topics in shock wave physics and equation of state modeling. Singapore: World Scientific, 1994.

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12

Shen, Shun-Qing. Topological Insulators: Dirac Equation in Condensed Matters. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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13

Dembowski, Mary Ann. An evaluation of parameters influencing jet mixing using the WIND Navier-Stokes Code. Cleveland, Ohio: National Aeronautics and Space Administration, Glenn Research Center, 2002.

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14

Reed, J. E. Digital model for simulating steady-state ground-water and heat flow. Denver, Colo: U.S. Dept. of the Interior, Geological Survey, 1985.

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15

Glaser, Max P. Humanitarian engagement with non-state armed actors: The parameters of negotiated access. London: Overseas Development Institute, 2005.

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16

Dickman, Ronald. Equation of state of two-dimensional lattice chains at the theta point. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1991.

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17

Grosse, Harald. Particle physics and the Schrödinger equation. Cambridge: Cambridge University Press, 1997.

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18

Freed, Alan David. Steady-state and transient zener parameters in viscoplasticity: Drag strength versus yield strength. [Washington, DC]: National Aeronautics and Space Administration, 1990.

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19

Mpieri, Michael Chidiebere. Sensitivity of linear state feedback controllers to plant parameters mismatching with and without observers. London: University of East London, 1996.

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20

The Fokker-Planck equation for stochastic dynamical systems and its explicit steady state solutions. Singapore: World Scientific, 1994.

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21

Lewis, Leslie R. The state of our harbors: An examination of Massachusetts harbor conditions and related economic parameters. Hingham, Mass. (349 Lincoln St., Building 45, Hingham 02043): Commonweath of Massachusetts, Dept. of Environmental Management, Division of Waterways, 1990.

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22

Greiner, Walter. The Nuclear Equation of State: Part A: Discovery of Nuclear Shock Waves and the EOS. Boston, MA: Springer US, 1989.

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23

Gilles, Chabrier, and Schatzman Evry L, eds. The equation of state in astrophysics: Proceedings of IAU Colloquium no. 147, Saint-Malo, France, 14-18 June 1993. Cambridge: Cambridge University Press, 1994.

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24

Chen, Kai. Set membership estimation of state and parameters and operational control of integrated quantity and quality models of water supply and distribution systems. Birmingham: University of Birmingham, 1997.

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25

1969-, Poggi-Corradini Pietro, ed. The [rho]-harmonic equation and recent advances in analysis: IIIrd Prairie Analysis Seminar, October 17-18, 2003, Kansas State University, Manhattan, Kansas. Providence, R.I: American Mathematical Society, 2005.

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26

Franzman, Axel J. Effects of parent material, international land differences, and time since clearing on some physical and chemical parameters, and variability of three soils groups of the Fraser lowland, British Columbia and Washington State. Bellingham, Wash: Huxley College of Environmental Studies, Western Washington University, 1986.

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27

Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. Atomistic Spin Dynamics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.001.0001.

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The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin-dynamics, and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and should be used. The contents involve a description of density functional theory both from a fundamental viewpoint as well as a practical one, with several examples of how this theory can be used for the evaluation of ground state properties like spin and orbital moments, magnetic form-factors, magnetic anisotropy, Heisenberg exchange parameters, and the Gilbert damping parameter. This book also outlines how interatomic exchange interactions are relevant for the effective field used in the temporal evolution of atomistic spins. The equation of motion for atomistic spin-dynamics is derived starting from the quantum mechanical equation of motion of the spin-operator. It is shown that this lead to the atomistic Landau-Lifshitz-Gilbert equation, provided a Born-Oppenheimer-like approximation is made, where the motion of atomic spins is considered slower than that of the electrons. It is also described how finite temperature effects may enter the theory of atomistic spin-dynamics, via Langevin dynamics. Details of the practical implementation of the resulting stochastic differential equation are provided, and several examples illustrating the accuracy and importance of this method are given. Examples are given of how atomistic spin-dynamics reproduce experimental data of magnon dispersion of bulk and thin-film systems, the damping parameter, the formation of skyrmionic states, all-thermal switching motion, and ultrafast magnetization measurements.
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28

Beardsley, Ian. Unified Equation of Parameters. Independently Published, 2020.

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29

Horing, Norman J. Morgenstern. Superfluidity and Superconductivity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0013.

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Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the non-condensate states and are discussed in conjunction with Landau’s criterion for viscosity. Associated concepts of off-diagonal long-range order and the interpretation of <ψ> as a superfluid order parameter are also introduced. Anderson’s Bose-condensed state, as a phase-coherent wave packet superposition of number states, resolves issues of number conservation. Superconductivity involves bound Cooper pairs of electrons capable of Bose condensation and superfluid behavior. Correspondingly, the two-particle Green’s function has a term involving a product of anomalous bound-Cooper-pair condensate wave functions of the type F(1,2)=−i<(ψ(1)ψ(2))+>≠0, such that G2(1,2;1′,2′)=F(1,2)F+(1′,2′)+G˜2(1,2;1′,2′). Here, G˜2 describes the dynamics/excitations of the non-superfluid-condensate states, while nonvanishing F,F+ represent a phase-coherent wave packet superposition of Cooper-pair number states and off-diagonal long range order. Employing this form of G2 in the G1-equation couples the condensed state with the non-condensate excitations. Taken jointly with the dynamical equation for F(1,2), this leads to the Gorkov equations, encompassing the Bardeen–Cooper–Schrieffer (BCS) energy gap, critical temperature, and Bogoliubov-de Gennes eigenfunction Bogoliubons. Superconductor thermodynamics and critical magnetic field are discussed. For a weak magnetic field, the Gorkov-equations lead to Ginzburg–Landau theory and a nonlinear Schrödinger-like equation for the pair wave function and the associated supercurrent, along with identification of the Cooper pair density. Furthermore, Chapter 13 addresses the apparent lack of gauge invariance of London theory with an elegant variational analysis involving re-gauging the potentials, yielding a manifestly gauge invariant generalization of the London equation. Consistency with the equation of continuity implies the existence of Anderson’s acoustic normal mode, which is supplanted by the plasmon for Coulomb interaction. Type II superconductors and the penetration (and interaction) of quantized magnetic flux lines are also discussed. Finally, Chapter 13 addresses Josephson tunneling between superconductors.
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30

Brezin, Edouard, and Sinobu Hikami. Beta ensembles. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.20.

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This article deals with beta ensembles. Classical random matrix ensembles contain a parameter β, taking on the values 1, 2, and 4. This parameter, which relates to the underlying symmetry, appears as a repulsion sβ between neighbouring eigenvalues for small s. β may be regarded as a continuous positive parameter on the basis of different viewpoints of the eigenvalue probability density function for the classical random matrix ensembles - as the Boltzmann factor for a log-gas or the squared ground state wave function of a quantum many-body system. The article first considers log-gas systems before discussing the Fokker-Planck equation and the Calogero-Sutherland system. It then describes the random matrix realization of the β-generalization of the circular ensemble and concludes with an analysis of stochastic differential equations resulting from the case of the bulk scaling limit of the β-generalization of the Gaussian ensemble.
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31

Escudier, Marcel. Flow through axial-flow-turbomachinery blading. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0014.

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This chapter is concerned primarily with the flow of a compressible fluid through stationary and moving blading, for the most part using the analysis introduced in Chapter 11. The principles of dimensional analysis are applied to determine the appropriate non-dimensional parameters to characterise the performance of a turbomachine. The analysis of incompressible flow through a linear cascade of aerofoil-like blades is followed by the analysis of compressible flow. Velocity triangles for flow relative to blades, and Euler’s turbomachinery equation, are introduced to analyse flow through a rotor. The concepts introduced are applied to the analysis of an axial-turbomachine stage comprising a stator and a rotor, which applies to either a compressor or a turbine.
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32

Permanent International Association Of N. List Sea State Parameters. Routledge, 1986.

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33

Zhu, Yang, and Miroslav Krstic. Delay-Adaptive Linear Control. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691202549.001.0001.

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Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable. Over the past sixty years, predictor feedback has been a key tool for compensating such delays, but conventional predictor feedback algorithms assume that the delays and other parameters of a given system are known. When incorrect parameter values are used in the predictor, the resulting controller may be as destabilizing as without the delay compensation. This book develops adaptive predictor feedback algorithms equipped with online estimators of unknown delays and other parameters. Such estimators are designed as nonlinear differential equations, which dynamically adjust the parameters of the predictor. The design and analysis of the adaptive predictors involves a Lyapunov stability study of systems whose dimension is infinite, because of the delays, and nonlinear, because of the parameter estimators. This book solves adaptive delay compensation problems for systems with single and multiple inputs/outputs, unknown and distinct delays in different input channels, unknown delay kernels, unknown plant parameters, unmeasurable finite-dimensional plant states, and unmeasurable infinite-dimensional actuator states. Presenting breakthroughs in adaptive control and control of delay systems, the book offers powerful new tools for the control engineer and the mathematician.
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34

M, Kambombo Kayele, ed. Sports: The new equation. Windhoek, Namibia: Capital Press, 2000.

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35

Chabrier, Gilles, and Evry Schatzman, eds. The Equation of State in Astrophysics. Cambridge University Press, 1994. http://dx.doi.org/10.1017/cbo9780511600128.

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36

An Equation of State for Metals. Storming Media, 1996.

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37

International Association for Hydraulic Research. and Permanent International Association of Navigation Congresses., eds. List of sea state parameters, January 1986. Rotterdam: A.A. Balkema, 1986.

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38

Escudier, Marcel. Compressible pipe flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0013.

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In this chapter gas flow through pipes is analysed, taking account of compressibility and either friction or heat exchange with the fluid. It is shown that in all cases the key parameter is the Mach number. The analyses are based upon the conservation laws for mass, momentum, and energy, together with an equation of state. So that significant results can be achieved, the flowing fluid is treated as a perfect gas, and the flow as one dimensional. Adiabatic pipe flow with wall friction is termed Fanno flow. Frictionless pipe flow with heat transfer is termed Rayleigh flow. It is found that both flows, and also isothermal pipe flow with wall friction, can be limited by choking.
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39

Haensel, P., A. Y. Potekhin, and D. G. Yakovlev. Neutron Stars 1: Equation of State and Structure. Springer, 2010.

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40

Equation of State of Uranium Dioxide: Data Collection. Springer, 2004.

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41

Ronchi, C., I. L. Iosilevski, and E. S. Yakub. Equation of State of Uranium Dioxide: Data Collection. Springer, 2012.

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42

Baldo, Marcello. Nuclear Methods and the Nuclear Equation of State. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/2657.

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43

1943-, Baldo Marcello, ed. Nuclear methods and the nuclear equation of state. Singapore: World Scientific, 1999.

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44

Control of Nonlinear Systems via State Feedback State-Dependent Riccati Equation Techniques. Storming Media, 1997.

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45

Canonical-variables multigrid method for steady-state Euler equation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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46

Center, Langley Research, ed. Canonical-variables multigrid method for steady-state Euler equation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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47

Canonical-variables multigrid method for steady-state Euler equation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1994.

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48

Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. The Atomistic Spin Dynamics Equation of Motion. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.003.0004.

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From the information obtained in DFT, in particular the magnetic moments and the Heisenberg exchange parameters, one has the possibility to make a connection to atomistic spin-dynamics. In this chapter the essential features of this connection is described. It is also discussed under what length and time-scales that this approach is a relevant approximation. The master equation of atomistic spin-dynamics is derived, and discussed in detail. In addition we give examples of how this equation describes the magnetization dynamics of a few model systems.
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49

Садовников, Василий. Теория гетерогенного катализа. Теория хемосорбции. Publishing House Triumph, 2021. http://dx.doi.org/10.32986/978-5-40-10-01-2001.

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This monograph is a continuation of the monograph by V.V. Sadovnikov. Lateral interaction. Moscow 2006. Publishing house "Anta-Eco", 2006. ISBN 5-9730-0017-6. In this work, the foundations of the theory of heterogeneous catalysis and the theory of chemisorption are more easily formulated. The book consists of two parts, closely related to each other. These are the theoretical foundations of heterogeneous catalysis and chemisorption. In the theory of heterogeneous catalysis, an experiment is described in detail, which must be carried out in order to isolate the stages of a catalytic reaction, to find the stoichiometry of each of the stages. This experiment is based on the need to obtain the exact value of the specific surface area of the catalyst, the number of centers at which the reaction proceeds, and the output curves of each of the reaction products. The procedures for obtaining this data are described in detail. Equations are proposed and solved that allow calculating the kinetic parameters of the nonequilibrium stage and the thermodynamic parameters of the equilibrium stage. The description of the quantitative theory of chemisorption is based on the description of the motion of an atom along a crystal face. The axioms on which this mathematics should be based are formulated, the mathematical apparatus of the theory is written and the most detailed instructions on how to use it are presented. The first axiom: an atom, moving along the surface, is present only in places with minima of potential energy. The second axiom: the face of an atom is divided into cells, and the position of the atom on the surface of the face is set by one parameter: the cell number. The third axiom: the atom interacts with the surrounding material bodies only at the points of minimum potential energy. The fourth axiom: the solution of the equations is a map of the arrangement of atoms on the surface. The fifth axiom: quantitative equations are based on the concept of a statistically independent particle. The formation energies of these particles and their concentration are calculated by the developed program. The program based on these axioms allows you to simulate and calculate the interaction energies of atoms on any crystal face. The monograph is intended for students, post-graduate students and researchers studying work and working in petrochemistry and oil refining.
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50

Equation of state of condensed materials physical principles and applications. Washington, DC: National Aeronautics and Space Administration, 1988.

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