Difference between revisions of "Template:AotD"

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===[[Permutation]]===
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===[[Function]]===
A '''permutation''' of a [[set]] of <math>r</math> objects is any rearrangement (linear ordering) of the <math>r</math> objectsThere are <math>r!</math> (the [[factorial]] of <math>r</math>) permutations of a set with <math>r</math> distinct objects.
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A '''function''' is a rule that maps one set of values to another set of values.  For instance, one function may map 1 to 1, 2 to 4, 3 to 9, 4 to 16, and so onThis function has the rule that it takes its input value, and squares it to get an output value. One can... [[function|[more]]]
 
 
One can also consider permutations of [[infinite]] sets.  In this case, a permutation of a set <math>S</math> is simply a [[bijection]] between <math>S</math> and... [[Permutation|[more]]]
 
 
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Revision as of 20:11, 24 January 2008

Function

A function is a rule that maps one set of values to another set of values. For instance, one function may map 1 to 1, 2 to 4, 3 to 9, 4 to 16, and so on. This function has the rule that it takes its input value, and squares it to get an output value. One can... [more]