Weierstrass Erdmann Condition
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High Quality Content by WIKIPEDIA articles! 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. 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.

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High Quality Content by WIKIPEDIA articles! 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. 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.