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Given a Euclidean n-space, H_n=n+1.

Two graphs are homeomorphic if there is a graph isomorphism from some graph subdivision of one to some subdivision of the other.

Related to one another by a homomorphism.

Determined the possible values of r and n for which there is an identity of the form (x_1^2+...+x_r^2)(y_1^2+...+y_r^2)=z_1^2+...+z_n^2.

A divisor which is not a proper divisor.

A word or string which is not admissible.

Two objects which touch each other are said to be incident.

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

The inverse secant sec^(-1)z (Zwillinger 1995, p. 465), also denoted arcsecz (Abramowitz and Stegun 1972, p. 79; Harris and Stocker 1998, p. 315; Jeffrey 2000, p. 124), is ...

An operator of period 2, i.e., an operator * which satisfies ((a)^*)^*=a.