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Two oriented knots (or links) can be summed by placing them side by side and joining them by straight bars so that orientation is preserved in the sum. The knot sum is also ...

A rational amicable pair consists of two integers a and b for which the divisor functions are equal and are of the form sigma(a)=sigma(b)=(P(a,b))/(Q(a,b))=R(a,b), (1) where ...

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, ...

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.