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A relationship between knot polynomials for links in different orientations (denoted below as L_+, L_0, and L_-). J. H. Conway was the first to realize that the Alexander ...

A mathematical relationship relating f(x+y) to f(x) and f(y).

A mathematical relationship relating f(nx) to f(x) for integer n.

A mathematical relationship transforming a function f(x) to the form f(x+a).

The relationship x precedes y is written x≺y. The relation x precedes or is equal to y is written x<=y.

Two quantities a and b which are not equal are said to be unequal, and this relationship can be denoted a!=b.

The relationship x succeeds (or follows) y is written x≻y. The relation x succeeds or is equal to y is written x>=y.

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.

An identity is a mathematical relationship equating one quantity to another (which may initially appear to be different).

Two open manifolds M and M^' are cobordant if there exists a manifold with boundary W^(n+1) such that an acceptable restrictive relationship holds.