Legendre transformation
английский
преобразование Лежандра
Значение Legendre transformation значение
Что в английском языке означает Legendre transformation?
Legendre transformation
существительное
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(mathematics) Given a function f(x,y,z,...) which is concave up with respect to x (i.e., its second derivative with respect to x is greater than zero), an involutive procedure for replacing x with another variable, say p = {\partial f \over \partial x} thus yielding another function, say F = F(p,y,z,...). This new function contains all of the information of the original f encoded, as it were, within it so that {\partial F \over \partial p} = x and applying a similar transformation to F yields the original f. The formula is: F(p,y,z,...) = p \cdot x(p) - f(x(p),y,z,...) where x must be expressed as a function of p. (Note: The concave upwardness means that {\partial f \over \partial x} is monotonically increasing, which means that p as a function of x is invertible, so x should be expressible as a function of p.)
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(physics, analytical dynamics) A formula for converting a Lagrangian function to a Hamiltonian function (or vice versa).
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(thermodynamics) A relation between internal energy (expressed in terms of volume and entropy) and enthalpy (replacing volume with pressure), or between internal energy and Helmholtz free energy (replacing entropy with temperature), or between enthalpy and Gibbs free energy (replacing entropy with temperature), or between internal energy and Gibbs free energy (replacing volume with pressure and entropy with temperature), or between Helmholtz free energy and Gibbs free energy (replacing volume with pressure).
Перевод Legendre transformation перевод
Как перевести с английского Legendre transformation?
Legendre transformation
английский » русский
преобразование Лежандра
Синонимы Legendre transformation синонимы
Как по-другому сказать Legendre transformation по-английски?
Legendre transformation
английский » английский
Legendre contact transformation
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