# auxiliary equation

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auxiliary equation
вспомогательное уравнение

English-Russian dictionary of technical terms. 2014.

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• auxiliary equation — noun : an equation obtained from the standard form of a linear differential equation by replacing the right member by zero * * * Math. See characteristic equation (def. 1b) …   Useful english dictionary

• auxiliary equation — Math. See characteristic equation (def. 1b). * * * …   Universalium

• Auxiliary field — In physics, and especially quantum field theory, an auxiliary field is one whose equations of motion admit a single solution. Therefore, the Lagrangian describing such a field A contains an algebraic quadratic term and an arbitrary linear term,… …   Wikipedia

• Auxiliary polynomial theorem — The construction of auxiliary polynomials is an important concept in diophantine approximation and transcendental number theory.tatementLet β equal the cube root of b/a in the equation ax 3 + bx 3 = c and assume m is and integer that satisfies m… …   Wikipedia

• Characteristic equation (calculus) — In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree on which depends the solutions of a given th order differential equation. The characteristic equation can only be formed when the… …   Wikipedia

• characteristic equation — noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… …   Useful english dictionary

• characteristic equation — 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the… …   Universalium

• Novikov–Veselov equation — In mathematics, the Novikov–Veselov equation (or Veselov–Novikov equation) is a natural (2+1) dimensional analogue of the Korteweg–de Vries (KdV) equation. Unlike another (2+1) dimensional analogue of KdV, the Kadomtsev–Petviashvili equation, it… …   Wikipedia

• Dispersionless equation — Dispersionless (or quasi classical) limits of integrable partial differential equations (PDE) arise in various problems of mathematics and physics and are intensively studied in the recent literature (see, f.i.,  ). Contents 1 Examples 1.1… …   Wikipedia

• Rarita-Schwinger equation — In theoretical physics, the Rarita Schwinger equation is the relativistic field equation of spin 3/2 fermions. It is similar to the Dirac equation for spin 1/2 fermions. This equation was first introduced by William Rarita and Julian Schwinger in …   Wikipedia

• parabolic equation —       any of a class of partial differential equations arising in the mathematical analysis of diffusion phenomena, as in the heating of a slab. The simplest such equation in one dimension, uxx = ut, governs the temperature distribution at the… …   Universalium