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Revision as of 17:50, 23 April 2009
, 17:50, 23 April 2009→Commentary Note 12
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If <math>X\!</math> and <math>Y\!</math> have cardinalities <math>|X|\!</math> and <math>|Y|,\!</math> respectively, then the function space <math>X^Y\!</math> has a cardinality given by the following equation:
If <math>X\!</math> and <math>Y\!</math> have cardinalities <math>|X|\!</math> and <math>|Y|,\!</math> respectively, then the function space <math>Y^X\!</math> has a cardinality given by the following equation:
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| <math>\begin{matrix}|X^Y| & = & |X|^{|Y|}\end{matrix}</math>
| <math>\begin{matrix}|Y^X| & = & |Y|^{|X|}\end{matrix}</math>
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