Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. The conversion of something into an extreme form
Etymologies
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Examples

Under radical uncertainty, to be omnipresent in this century, maximization turns into extremization, which is very risky: it always gets us out on a limb, most likely in a wrong direction, and as a rule too far.

For any serious problem, LP does not "optimization" but "extremization": it gets us out on a limb and, as a rule, too far.

There is an extremization of a type of entropy with this condition.

The problem is equivalent to the extremization in classical mechanics and leads to the EulerLagrange equation.
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I think that this einselection has some type of extremization to it where a cosmology is einselected so as to permit the maximum possible level of complexity in local regions.

So maybe the grand path integral for all possible quantum cosmological amplitudes selfdecoheres by inflationary processes so that locally classical (like) structures come about by an extremization of possible local complexity.

By operating only at extremes, referred to in control theory as "bangbang extremization," the proteins were exhibiting behavior consistent with a system managing itself optimally under evolution.

Optimal control theory explains a striking pattern of extremization in the redox potentials of electron transport proteins, assuming only that their fitness measure is a control objective functional with bounded controls.

However, I think that there is some comsological einselection process, some system of decoherent processes that reduce the overlap between possible cosmological states D (Psi, Psi’) — 0 which selects for an extremization of local complexity.
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