Bolzano–Weierstrass theorem — In real analysis, the Bolzano–Weierstrass theorem is a fundamental result about convergence in a finite dimensional Euclidean space R^n. The theorem states that each bounded sequence in R^n has a convergent subsequence. An equivalent formulation… … Wikipedia
Lindemann–Weierstrass theorem — In mathematics, the Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states that if α1,...,α n are algebraic numbers which are linearly independent over the rational numbers Q, then… … Wikipedia
Sokhatsky-Weierstrass theorem — The Sokhatsky Weierstrass theorem (also spelled Sokhotsky Weierstrass theorem, and also called the Weierstrass theorem, although the latter term has several, more common, alternate meanings) is a theorem in complex analysis, which helps in… … Wikipedia
Stone–Weierstrass theorem — In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on an interval [ a , b ] can be uniformly approximated as closely as desired by a polynomial function. Because polynomials are the… … Wikipedia
Bolzano-Weierstrass theorem — /bohl zah noh vuy euhr shtrahs , strahs , bohlt sah /, Math. the theorem that every bounded set with an infinite number of elements contains at least one accumulation point. [named after B. BOLZANO and K. Weierstrass (1815 97), German… … Universalium
Bolzano-Weierstrass theorem — /bohl zah noh vuy euhr shtrahs , strahs , bohlt sah /, Math. the theorem that every bounded set with an infinite number of elements contains at least one accumulation point. [named after B. BOLZANO and K. Weierstrass (1815 97), German… … Useful english dictionary
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
Weierstrass factorization theorem — In mathematics, the Weierstrass factorization theorem in complex analysis, named after Karl Weierstrass, asserts that entire functions can be represented by a product involving their zeroes. In addition, every sequence tending to infinity has an… … Wikipedia
Weierstrass–Casorati theorem — The Casorati Weierstrass theorem in complex analysis describes the remarkable behavior of meromorphic functions near essential singularities. It is named for Karl Theodor Wilhelm Weierstrass and Felice Casorati.Start with an open subset U of the… … Wikipedia
Weierstrass function — may also refer to the Weierstrass elliptic function ( ) or the Weierstrass sigma, zeta, or eta functions. Plot of Weierstrass Function over the interval [−2, 2]. Like fractals, the function exhibits self similarity: every zoom (red circle)… … Wikipedia
