cauchy integral
1Cauchy integral formula — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. [named after A. L. CAUCHY] * * * …
2Cauchy integral theorem — Math. the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero. [named after A. L. CAUCHY] * * * …
3Cauchy integral formula — Math. a theorem that gives an expression in terms of an integral for the value of an analytic function at any point inside a simple closed curve of finite length in a domain. [named after A. L. CAUCHY] …
4Cauchy integral theorem — Math. the theorem that the integral of an analytic function about a closed curve of finite length in a finite, simply connected domain is zero. [named after A. L. CAUCHY] …
5Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… …
6Cauchy's integral theorem — In mathematics, the Cauchy integral theorem in complex analysis, named after Augustin Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane. Essentially, it says that if two different paths… …
7Cauchy-Riemann equations — In mathematics, the Cauchy Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, are two partial differential equations which provide a necessary and sufficient condition for a differentiable… …
8Cauchy's test — may refer to:* Cauchy s root test * Cauchy s condensation test * the integral test for convergence, sometimes known as the Maclaurin Cauchy test These topics are named after Augustin Louis Cauchy, a French mathematician.disambig …
9Cauchy distribution — Not to be confused with Lorenz curve. Cauchy–Lorentz Probability density function The purple curve is the standard Cauchy distribution Cumulative distribution function …
10Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …
