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- From http://en.wikipedia.org/wiki/Surjective_function
- See also http://mathworld.wolfram.com/Surjection.html

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

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

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

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 . If then the bijective function is called a permutation.

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