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The determination of the number of alternating permutations having elements {1,2,...,n}.

A circle-preserving transformation composed of an odd number of inversions.

A base-60, or sexagesimal, number system, used by the ancient Babylonians.

A variable which belongs to exactly one of a finite number of categories.

The number of elements of a group in a given conjugacy class.

When ac is divisible by a number b that is relatively prime to a, then c must be divisible by b.

The number of alternating permutations for n elements is sometimes called an Euler zigzag number. Denote the number of alternating permutations on n elements for which the ...

A tree spread in which each node has a finite number of children.

The order of a finite field is the number of elements it contains.

The graph complement of a graph hole. Graph antiholes are called even if they have an even number of vertices and odd if they have an odd number of vertices (Chvátal). No odd ...