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A knot which tightens around an object when strained but slackens when the strain is removed. Running knots are sometimes also known as slip knots or nooses.

The dual polyhedron of the small cubicuboctahedron U_(13) and Wenninger dual W_(69).

Given a point set P={x_n}_(n=0)^(N-1) in the s-dimensional unit cube I=[0,1)^s, the star discrepancy is defined as D_N^*(P)=sup_(J in Upsilon^*)D(J,P), (1) where the local ...

A subring of a ring R is a subgroup of R that is closed under multiplication.

The symbol ∼ used to denote similarity, equivalence relations, or asymptosy.

An operator T which maps some basic polynomial sequence p_n(x) into another basic polynomial sequence q_n(x).

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

The limit of an upper sum, when it exists, as the mesh size approaches 0.

Let a group G have a group presentation G=<x_1,...,x_n|r_j(x_1,...,x_n),j in J> so that G=F/R, where F is the free group with basis {x_1,...,x_n} and R is the normal subgroup ...

The Sierpiński carpet is the fractal illustrated above which may be constructed analogously to the Sierpiński sieve, but using squares instead of triangles. It can be ...