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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.

There are at least two statements which go by the name of Artin's conjecture. If r is any complex finite-dimensional representation of the absolute Galois group of a number ...

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

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).

The Hamming distance between two vertices of a hypercube is the number of coordinates at which the two vertices differ.

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