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The process of taking the complement of a set or truth function. In the latter case, complementation is equivalent to the NOT operation.

A set X is called a "cone" with vertex at the origin if for any x in X and any scalar a>=0, ax in X.

A set in Euclidean space R^d is convex set if it contains all the line segments connecting any pair of its points. If the set does not contain all the line segments, it is ...

A set X is a called a "convex cone" if for any x,y in X and any scalars a>=0 and b>=0, ax+by in X.

The largest n such that |z_n|<4 in a Mandelbrot set. Points of different count are often assigned different colors.

The edge set of a graph is simply a set of all edges of the graph. The cardinality of the edge set for a given graph g is known as the edge count of g. The edge set for a ...

A portion of the Mandelbrot set centered around 0.3+0i with size approximately 0.1+0.1i.

Given a set S of points in the plane, an enclosing circle is a circle for which all points S lie in its interior.

A set which contains a nonnegative integral number of elements is said to be finite. A set which is not finite is said to be infinite. A finite or countably infinite set is ...

A group G is said to be finitely generated if there exists a finite set of group generators for G.