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A sequence {a_1,a_2,...} for which a_1>=a_2>=....

A series s_1,s_2,... for which s_1>=s_2>=....

A matrix whose eigenvectors are not complete.

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.

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.

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.