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- Cauchy_index abstract "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 r(x) = p(x)/q(x)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 f(iy) = q(y) + ip(y). We must also assume that p has degree less than the degree of q.".
- Cauchy_index thumbnail Cauchyindex.png?width=300.
- Cauchy_index wikiPageExternalLink sld008.htm.
- Cauchy_index wikiPageID "2079538".
- Cauchy_index wikiPageRevisionID "518053994".
- Cauchy_index hasPhotoCollection Cauchy_index.
- Cauchy_index subject Category:Mathematical_analysis.
- Cauchy_index comment "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 r(x) = p(x)/q(x)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 f(iy) = q(y) + ip(y). We must also assume that p has degree less than the degree of q.".
- Cauchy_index label "Cauchy index".
- Cauchy_index label "Indice di Cauchy".
- Cauchy_index sameAs Indice_di_Cauchy.
- Cauchy_index sameAs m.06kr1m.
- Cauchy_index sameAs Q3798199.
- Cauchy_index sameAs Q3798199.
- Cauchy_index wasDerivedFrom Cauchy_index?oldid=518053994.
- Cauchy_index depiction Cauchyindex.png.
- Cauchy_index isPrimaryTopicOf Cauchy_index.
