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Bolzano-Weierstrass theorem (view source)
Revision as of 04:53, November 3, 2009
, 04:53, November 3, 2009a start; need to improve and help is welcome
The Bolzano-Weierstrass theorem is a statement about the convergence of sequences, and is a basic theorem of [[real analysis]] in [[mathematics]].
The Bolzano-Weierstrass theorem holds that if a sequence of real numbers is finite with endpoints, then it must have a subsequence that converges. The theorem holds that an equilibrium exists in the form of a convergent subsequence. The proof of the existence of such an equilibrium has become useful to [[economics]].
[[Category:mathematics]]
[[Category:economics]]
The Bolzano-Weierstrass theorem holds that if a sequence of real numbers is finite with endpoints, then it must have a subsequence that converges. The theorem holds that an equilibrium exists in the form of a convergent subsequence. The proof of the existence of such an equilibrium has become useful to [[economics]].
[[Category:mathematics]]
[[Category:economics]]