Morse–Palais lemma
id:
morse-palais-lemma-318-7862379
title:
Morse–Palais lemma
text:
In mathematics, the Morse–Palais lemma is a result in the calculus of variations and theory of Hilbert spaces. Roughly speaking, it states that a smooth enough function near a critical point can be expressed as a quadratic form after a suitable change of coordinates. The Morse–Palais lemma was originally proved in the finite-dimensional case by the American mathematician Marston Morse, using the Gram–Schmidt orthogonalization process. This result plays a crucial role in Morse theory. The general
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https://en.wikipedia.org/wiki/Morse%E2%80%93Palais_lemma
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date modified:
2023-04-23T07:19:32Z
main entity:
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