Łojasiewicz inequality
id:
ojasiewicz-inequality-304-681698
title:
Łojasiewicz inequality
text:
In real algebraic geometry, the Łojasiewicz inequality, named after Stanisław Łojasiewicz, gives an upper bound for the distance of a point to the nearest zero of a given real analytic function. Specifically, let ƒ : U → R be a real analytic function on an open set U in Rn, and let Z be the zero locus of ƒ. Assume that Z is not empty. Then for any compact set K in U, there exist positive constants α and C such that, for all x in K Here α can be large. The following form of this inequality is oft
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https://en.wikipedia.org/wiki/%C5%81ojasiewicz_inequality
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date modified:
2023-06-21T16:05:45Z
main entity:
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