Mathematical Terms

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Surjective function

For every $latex2png equation$ in the co-domain $latex2png equation$ , there is at least one $latex2png equation$ in the domain $latex2png equation$ so that $latex2png equation$ . More than one $latex2png equation$ value can map to any $latex2png equation$ value.

Injective function

From http://en.wikipedia.org/wiki/Injective_function
See also http://mathworld.wolfram.com/Injection.html

For every $latex2png equation$ in the co-domain, there is at most one $latex2png equation$ in the domain such that $latex2png equation$ . Note that an injective function doesn't necessarily cover the whole co-domain. Noted by $latex2png equation$ .

Bijective function

From http://en.wikipedia.org/wiki/Bijection
See also http://mathworld.wolfram.com/Bijection.html

A function that is surjective as well as bijective, i.e. there is a one-to-one correspondence between the domain and the co-domain. Noted by $latex2png equation$ . If $latex2png equation$ then the bijective function is called a permutation.

Number

Condition Number

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Updated April 23, 2009

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