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Weierstrass–Erdmann condition : ウィキペディア英語版
Weierstrass–Erdmann condition

The Weierstrass–Erdmann condition is a technical tool from the calculus of variations. This condition gives the sufficient conditions for an extremal to have a corner.
== Conditions ==

The condition says that, along a piecewise smooth extremal ''x''(''t'') (i.e. an extremal which is smooth except at a finite number of corners) for an integral J=\int f(t,x,y)\,dt, the partial derivative \partial f/\partial x must be continuous at a corner ''T''. That is, if one takes the limit of partials on both sides of the corner as one approaches the corner ''T'', the result must be the same answer.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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