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If f:(X,A)->(Y,B) is homotopic to g:(X,A)->(Y,B), then f_*:H_n(X,A)->H_n(Y,B) and g_*:H_n(X,A)->H_n(Y,B) are said to be the induced maps.

The fifth of Peano's axioms, which states: If a set S of numbers contains zero and also the successor of every number in S, then every number is in S.

While an equality A=B states that two mathematical expressions are equal, an inequation A!=B states that two expressions are not equal.

A group having an infinite number of elements. Some infinite groups, such as the integers or rationals, are not continuous groups.

A geometric figure which touches only the sides (or interior) of another figure.

Integer programming in a special case of linear programming in which all variables are required to take on integer values only. Set covering deployment is an example ...

This distribution is implemented in the Wolfram Language as InverseChiSquareDistribution[nu].

Two quantities y and x are said to be inversely proportional (or "in inverse proportion") if y is given by a constant multiple of 1/x, i.e., y=c/x for c a constant. This ...

The symmetry operation (x,y,z)->(-x,-y,-z). When used in conjunction with a rotation, it becomes an improper rotation.

A square matrix which is not reducible is said to be irreducible.