Cauchy index
id:
cauchy-index-202-8370531
title:
Cauchy index
text:
In mathematical analysis, the Cauchy index is an integer associated to a real rational function over an interval. By the Routh–Hurwitz theorem, we have the following interpretation: the Cauchy index of over the real line is the difference between the number of roots of f(z) located in the right half-plane and those located in the left half-plane. The complex polynomial f(z) is such that We must also assume that p has degree less than the degree of q.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Cauchy_index
date created:
date modified:
2024-01-21T12:15:24Z
main entity:
{"identifier":"Q3798199","url":"https://www.wikidata.org/entity/Q3798199"}
image:
fields total:
13
integrity:
13