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

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

A cyclic group is a group that can be generated by a single element X (the group generator). Cyclic groups are Abelian. A cyclic group of finite group order n is denoted C_n, ...

The decimal expansion of a number is its representation in base-10 (i.e., in the decimal system). In this system, each "decimal place" consists of a digit 0-9 arranged such ...

The Dehn invariant is a constant defined using the angles and edge lengths of a three-dimensional polyhedron. It is significant because it remains constant under polyhedron ...

An arbitrary rotation may be described by only three parameters.

For c<1, x^c<1+c(x-1). For c>1, x^c>1+c(x-1).

The canonical generator of the nonvanishing homology group on a topological manifold.

A connection between two or more vertices of a hypergraph. A hyperedge connecting just two vertices is simply a usual graph edge.

A divisor which is not a proper divisor.