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Weierstrass theorem
Several theorems are named after Karl Weierstrass. These include:
*The Weierstrass approximation theorem, of which one well known generalization is the Stone–Weierstrass theorem
*The Bolzano–Weierstrass theorem, which ensures compactness of closed and bounded sets in R''n''
*The Weierstrass extreme value theorem, which states that a continuous function on a closed and bounded set obtains its extreme values
*The Weierstrass–Casorati theorem describes the behavior of holomorphic functions near essential singularities
*The Weierstrass preparation theorem describes the behavior of analytic functions near a specified point
*The Lindemann–Weierstrass theorem concerning the transcendental numbers
*The Weierstrass factorization theorem asserts that entire functions can be represented by a product involving their zeroes
*The Sokhatsky–Weierstrass theorem which helps evaluate certain Cauchy-type integrals
== See also ==
* List of topics named after Karl Weierstrass
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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