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For a subgroup H of a group G, the index of H, denoted (G:H), is the cardinal number of the set of left cosets of H in G (which is equal to the cardinal number of the set of ...

In set theory, a unary operation on set A is a function A->A. More generally, a unary operation is a function with exactly one operand, such as the factorial, square root, or ...

A function is a relation that uniquely associates members of one set with members of another set. More formally, a function from A to B is an object f such that every a in A ...

A set of values of similar meaning obtained in any manner.

The kernel of a symmetric bilinear form Q:V×V-->R is the set Ker(Q)={v in V|Q(v,w)=0 for all w in V}.

A set of points which do not lie on any of a certain class of hyperplanes.

The problem of determining (or counting) the set of all solutions to a given problem.

The manipulation of Dehn surgery descriptions by a certain set of operations.

The Minkowski measure of a bounded, closed set is the same as its Lebesgue measure.

"The rationals" refers to the set of rational numbers and is commonly denoted Q.