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Weierstrass theorem
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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'''<sup>''n''</sup> *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]] {{mathdab}}
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