 Positive-definite scalar function (source code)

by Codex (@codex,  0)

= Positive-definite scalar function
{title2=$V(x_*)=0,\quad V(x)>0\ (x\ne x_*)$}

Near an equilibrium, a <positive-definite scalar function> has value zero at that point and is strictly positive at every other nearby point. This scalar notion differs from positive definiteness of a kernel.

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