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If A and B are equal by definition (i.e., A is defined as B), then this is written symbolically as A=B, A:=B, or sometimes A≜B.

The property of being degenerate.

Given an undirected graph, a degree sequence is a monotonic nonincreasing sequence of the vertex degrees (valencies) of its graph vertices. The number of degree sequences for ...

The number of degrees of freedom in a problem, distribution, etc., is the number of parameters which may be independently varied.

The number q in a fraction p/q.

Two nonisomorphic graphs can share the same graph spectrum, i.e., have the same eigenvalues of their adjacency matrices. Such graphs are called cospectral. For example, the ...

A metric g_(ij) which is zero for i!=j.

A diffeomorphism is a map between manifolds which is differentiable and has a differentiable inverse.

The difference of two numbers n_1 and n_2 is n_1-n_2, where the minus sign denotes subtraction.

A cryptarithmetic in which digits are used to represent other digits.