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For a sequence {a_n}, if a_(n+1)-a_n>0 for n>=x, then a_n is increasing for n>=x. Conversely, if a_(n+1)-a_n<0 for n>=x, then a_n is decreasing for n>=x. If a_n>0 and ...

The number of inward directed graph edges from a given graph vertex in a directed graph.

A spherical image of a curve. The most common indicatrix is Dupin's indicatrix.

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.

An archaic term for calculus.

Infinity, most often denoted as infty, is an unbounded quantity that is greater than every real number. The symbol infty had been used as an alternative to M (1000) in Roman ...

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