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generalized equation

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  • Generalized forces — are defined via coordinate transformation of applied forces, mathbf{F} i, on a system of n particles, i. The concept finds use in Lagrangian mechanics, where it plays a conjugate role to generalized coordinates.A convenient equation from which to …   Wikipedia

  • Equation of State Calculations by Fast Computing Machines — is an article published by Nicholas Metropolis, Arianna W. Rosenbluth, Marshall N. Rosenbluth, Augusta H. Teller, and Edward Teller in the Journal of Chemical Physics in 1953.cite journal |author=N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A …   Wikipedia

  • Generalized continued fraction — In analysis, a generalized continued fraction is a generalization of regular continued fractions in canonical form in which the partial numerators and the partial denominators can assume arbitrary real or complex values.A generalized continued… …   Wikipedia

  • Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …   Wikipedia

  • Generalized Korteweg-de Vries equation — In mathematics the generalized Korteweg de Vries equation harvs last=Tsutsumi|first= Masayoshi|last2= Mukasa|first2= Toshio|last3= Iino|first3= Riichi|year=1970 is the nonlinear partial differential equation:partial t u + partial x^3 u + partial… …   Wikipedia

  • Generalized coordinates — By deriving equations of motion in terms of a general set of generalized coordinates, the results found will be valid for any coordinate system that is ultimately specified. cite book |last=Torby |first=Bruce |title=Advanced Dynamics for… …   Wikipedia

  • Generalized inverse — In mathematics, a generalized inverse or pseudoinverse of a matrix A is a matrix that has some properties of the inverse matrix of A but not necessarily all of them. The term the pseudoinverse commonly means the Moore Penrose pseudoinverse. The… …   Wikipedia

  • Equation — This article is about equations in mathematics. For the chemistry term, see chemical equation. The first use of an equals sign, equivalent to 14x+15=71 in modern notation. From The Whetstone of Witte by Robert Recorde (1557). An equation is a… …   Wikipedia

  • Équation de Picard-Fuchs — En mathématiques, on appelle équation de Picard Fuchs une équation différentielle assez particulière, car ses solutions décrivent la variation des périodes d une courbe elliptique en termes de son paramètre modulaire (en). Définition Pour… …   Wikipédia en Français

  • Generalized Riemann hypothesis — The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so called global L functions, which… …   Wikipedia

  • Generalized force — The idea of a Generalized Force is a concept stemming from Lagrangian mechanics. It is a consequence of the application of generalized coordinates to a system undergoing acceleration.When a particle undergoes a virtual displacement delta… …   Wikipedia

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