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A group in which any decreasing chain of distinct subgroups terminates after a finite number.

If the average number of envelopes per pigeonhole is a, then some pigeonhole will have at least a envelopes. Similarly, there must be a pigeonhole with at most a envelopes.

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

The word "spectrum" confusingly has a number of unrelated meanings in various branches of mathematics.

The hyperbolic cosecant is defined as cschz=1/(sinhz)=2/(e^z-e^(-z)). (1) It is implemented in the Wolfram Language as Csch[z]. It is related to the hyperbolic cotangent ...

Analysis

A polynomial form which is the sum of two polynomial forms involving separate sets of variables.

A polynomial in which the sum of subscripts is the same in each term.

The number of ways of folding a strip of stamps has several possible variants. Considering only positions of the hinges for unlabeled stamps without regard to orientation of ...

The imaginary part I[z] of a complex number z=x+iy is the real number multiplying i, so I[x+iy]=y. In terms of z itself, I[z]=(z-z^_)/(2i), where z^_ is the complex conjugate ...