单词 | Euler-Lagrange equation |
释义 | Euler-Lagrange equation [¦ȯi·lǝr lǝ`grānj i´kwā·zhǝn] MATHEMATICS A partial differential equation arising in the calculus of variations, which provides a necessary condition that y(x ) minimize the integral over some finite interval of f (x,y,y')dx, where y'= dy/dx; the equation is (∂ƒ (x,y,y')/∂y) - (d/dx)(∂ƒ (x,y,y')/∂y') =0. Also known as Euler's equation. |
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