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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 ...

Pascal's triangle is a number triangle with numbers arranged in staggered rows such that a_(nr)=(n!)/(r!(n-r)!)=(n; r), (1) where (n; r) is a binomial coefficient. The ...

The inverse tangent integral Ti_2(x) is defined in terms of the dilogarithm Li_2(x) by Li_2(ix)=1/4Li_2(-x^2)+iTi_2(x) (1) (Lewin 1958, p. 33). It has the series ...

The number of data points which fall within a given class in a frequency distribution.

In the archaic terminology of Whittaker and Watson (1990), the complex number z representing x+iy.

The number of single operations (of addition, subtraction, and multiplication) required to complete an algorithm.

Maximize the number of cookies you can cut from a given expanse of dough (Hoffman 1998, p. 173).

Given a convex plane region with area A and perimeter p, then |N-A|<p, where N is the number of enclosed lattice points.

A family of subsets of a topological space such that every point has a neighborhood which intersects only a finite number of them.