Weierstrass preparation theorem

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• Weierstrass preparation theorem — In mathematics, the Weierstrass preparation theorem is a tool for dealing with analytic functions of several complex variables, at a given point P. It states that such a function is, up to multiplication by a function not zero at P, a polynomial… …   Wikipedia

• Preparation theorem — may refer to:* Malgrange preparation theorem * Weierstrass preparation theorem …   Wikipedia

• Malgrange preparation theorem — In mathematics, the Malgrange preparation theorem is an analogue of the Weierstrass preparation theorem for smooth functions. It was conjectured by René Thom and proved by B. Malgrange (1962–1963, 1964, 1967). Contents 1 Statement of… …   Wikipedia

• Weierstrass theorem — Several theorems are named after Karl Weierstrass. These include: *The Weierstrass approximation theorem, also known as the Stone Weierstrauss theorem *The Bolzano Weierstrass theorem, which ensures compactness of closed and bounded sets in R n… …   Wikipedia

• Weierstrass ring — In mathematics, a Weierstrass ring, named by harvtxt|Nagata|1962|loc=section 45 after Karl Weierstrass, is a commutative local ring that is Henselian, pseudo geometric, and such that any quotient ring by a prime ideal is a finite extension of a… …   Wikipedia

• Karl Weierstrass — Infobox Scientist name = Karl Weierstrass |300px caption = Karl Theodor Wilhelm Weierstrass (Weierstraß) birth date = birth date|1815|10|31|mf=y birth place = Ostenfelde, Westphalia death date = death date and age|1897|2|19|1815|10|31|mf=y death… …   Wikipedia

• Weierstrass, Karl — ▪ German mathematician born October 31, 1815, Ostenfelde, Bavaria [Germany] died February 19, 1897, Berlin       German mathematician, one of the founders of the modern theory of functions.       His domineering father sent him to the University… …   Universalium

• Théorème de préparation de Weierstrass — Pour les articles homonymes, voir Théorème de Weierstrass. En mathématiques, le théorème de préparation de Weierstrass désignait dans un premier temps un outil utilisé dans la théorie des fonctions analytiques de plusieurs variables complexes. L… …   Wikipédia en Français

• Théorème de Weierstrass — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Plusieurs théorèmes sont attribués à Karl Weierstrass ou le mentionnent dans leur nom. Théorème de Bolzano Weierstrass Théorème de factorisation de… …   Wikipédia en Français

• List of mathematics articles (W) — NOTOC Wad Wadge hierarchy Wagstaff prime Wald test Wald Wolfowitz runs test Wald s equation Waldhausen category Wall Sun Sun prime Wallenius noncentral hypergeometric distribution Wallis product Wallman compactification Wallpaper group Walrasian… …   Wikipedia

• List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… …   Wikipedia