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A clear-cut way of describing every object in a class in a one-to-one manner.

An alternative term for a binomial coefficient, in which (n; k) is read as "n choose k." R. K. Guy suggested this pronunciation around 1950, when the notations ^nC_r and ...

A variable that may assume complex values.

A proposition which is consistent with known data, but has neither been verified nor shown to be false. It is synonymous with hypothesis.

A requirement necessary for a given statement or theorem to hold. Also called a condition.

The cumulative count of property P for a sequence S_n={a_1,a_2,...,a_n} is a sequence of counts of the numbers of elements a_i with i<=k that satisfy P for k=1, 2, ..., n. ...

A rewriting of a given quantity (e.g., a matrix) in terms of a combination of "simpler" quantities.

A definition assigns properties to some sort of mathematical object. For example, Euclid's Elements starts with a number of definitions, such as "a line is a breadthless ...

A schematic mathematical illustration showing the relationships between or properties of mathematical objects.

Two quantities are said to be different (or "unequal") if they are not equal. The term "different" also has a technical usage related to modules. Let a module M in an ...