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

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

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.

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Condition Number


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