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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 , the partial derivative 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.
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