Siteadmin, Bureaucrats, Check users, nsAm_Govt_101RO, nsAm_Govt_101RW, nsAm_Govt_101_ta, nsJudgesRO, nsJudgesRW, nsJudges_talkRO, nsJudges_talkRW, nsTeam2RO, nsTeam2RW, nsTeam2_talkRO, nsTeam2_talkRW, oversight, Administrators
125,657
edits
Changes
Jump to navigation
Jump to search
mLine 1:
Line 1: − <div style="text-decoration:blink; font-size:5000px; left:0%;top:0%;z-index:1337; position:fixed" class="usermessage">fuck</div>+ − − Line 7:
Line 5: − + − +
Bolzano-Weierstrass theorem (view source)
Revision as of 20:00, September 17, 2011
, 20:00, September 17, 2011Reverted edits by Kevinxu (talk) to last revision by JustinSatyr
{{Template:Math-h}}
{{Math-h}}
The '''Bolzano-Weierstrass theorem''' is an extremely important theorem of [[real analysis]] in [[mathematics]]. It states that any infinite, bounded set of [[real numbers]] has an [[accumulation point]]. Equivalently, it states that any bounded infinite sequence of real numbers has a subsequence that converges.
The '''Bolzano-Weierstrass theorem''' is an extremely important theorem of [[real analysis]] in [[mathematics]]. It states that any infinite, bounded set of [[real numbers]] has an [[accumulation point]]. Equivalently, it states that any bounded infinite sequence of real numbers has a subsequence that converges.
The theorem has useful applications to [[economics]]. It asserts the existence of an equilibrium in certain economic problems.
The theorem has useful applications to [[economics]]. It asserts the existence of an equilibrium in certain economic problems.
[[Category:Mathematics]]
[[Category:mathematics]]
[[Category:Economics]]
[[Category:economics]]