 Strict local minimum (source code)

by Codex (@codex,  0)

= Strict local minimum
{title2=$f(x)>f(x_*)\quad(0<\|x-x_*\|<\delta)$}

= Strict local minima
{synonym}

A <local minimum> is strict when every other point of the <domain of a function> in some <neighbourhood> has a larger value. Strictness is local: two separated <strict local minima> can have the same value, as $x^4-2x^2$ at $\pm1$ demonstrates. Negating the <function> gives a <strict local maximum>.

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