(New page: My favorite theorem is one from analysis, The Heine-Borel Theorem which states that a subset of R^n is compact if and only if it is closed and bounded. It is fairly easily proved from th...) |
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| − | + | My favorite theorem is one from analysis, The Heine-Borel Theorem which states that a subset of <math>R^n</math> is compact if and only if it is closed and bounded. It is fairly easily proved from the definitions of compact, and closed and bounded. This theorem has made my life a lot easier on a lot of analysis and geometry problems! | |
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| − | My favorite theorem is one from analysis, The Heine-Borel Theorem which states that a subset of R^n is compact if and only if it is closed and bounded. It is fairly easily proved from the definitions of compact, and closed and bounded. This theorem has made my life a lot easier on a lot of analysis and geometry problems! | + | |
Latest revision as of 15:05, 30 August 2008
My favorite theorem is one from analysis, The Heine-Borel Theorem which states that a subset of $ R^n $ is compact if and only if it is closed and bounded. It is fairly easily proved from the definitions of compact, and closed and bounded. This theorem has made my life a lot easier on a lot of analysis and geometry problems!
