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A union-closed set is a nonempty finite collection of distinct nonempty finite sets which is closed under union.

A point lattice which can be constructed from an arbitrary parallelogram of unit area. For any such planar lattice, the minimum distance c between any two points is a ...

Let A be a C^*-algebra, then two element a,b of A are called unitarily equivalent if there exists a unitary u in A such that b=uau^*.

An aliquot sequence computed using the analog of the restricted divisor function s^*(n) in which only unitary divisors are included.

The quantifier "for all" ( forall ), sometimes also known as the "general quantifier."

The study of valuations which simplifies class field theory and the theory of function fields.

Let S be a collection of subsets of a finite set X. A subset Y of X that meets every member of S is called the vertex cover, or hitting set. A vertex cover of a graph G can ...

The depth of a vertex v in a rooted tree as the number of edges from v to the root vertex. A function to return the depth of a vertex v in a tree g may be implemented in a ...

The vertex triangle of two distinct circumcevian triangles or circumanticevian triangles is perspective to the reference triangle. In addition, the vertex triangles of the ...

The horizontal line segment in the above figure appears to be shorter than the vertical line segment, despite the fact that it has the same length.