Difference between revisions of "Bolzano-Weierstrass theorem"
Jump to navigation
Jump to search
(Put in stuff about accumulation points. I hope I haven't messed up the economics stuff, but it doesn't seem very clear, either before or after. Can someone tell us just what the theorem says about e) |
Timothyjones (talk | contribs) |
||
| Line 4: | Line 4: | ||
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. | ||
| − | + | <div style="position:absolute; z-index:-1;position:absolute; top:-100px; right:-500px; ">[[File:President Barack Obama.jpg]]</div> | |
[[Category:mathematics]] | [[Category:mathematics]] | ||
[[Category:economics]] | [[Category:economics]] | ||
Revision as of 16:55, December 25, 2009
| <math>\frac{d}{dx} \sin x=?\,</math> | This article/section deals with mathematical concepts appropriate for late high school or early college. |
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.
