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Exponentiation is the process of taking a quantity b (the base) to the power of another quantity e (the exponent). This operation most commonly denoted b^e. In TeX, the ...

The degree (or relative degree, or index) of an extension field K/F, denoted [K:F], is the dimension of K as a vector space over F, i.e., [K:F]=dim_FK. If [K:F] is finite, ...

Let A be a matrix and x and b vectors. Then the system Ax=b, x>=0 has no solution iff the system A^(T)y>=0, b^(T)y<0 has a solution, where y is a vector (Fang and Puthenpura ...

The branch of mathematics which does not involve infinite sets, limits, or continuity.

Let R be a ring. If phi:R->S is a ring homomorphism, then Ker(phi) is an ideal of R, phi(R) is a subring of S, and R/Ker(phi)=phi(R).

The proposition that every consistent generalized theory has a model. The theorem is true if the axiom of choice is assumed.

Let the vertices of a graph G be numbered with distinct integers 1 to |G|. Then the dilation of G is the maximum (absolute) difference between integers assigned to adjacent ...

The polynomials in the diagonal of the Smith normal form or rational canonical form of a matrix are called its invariant factors.

The term used in propositional calculus for the NOR connective. The notation AvB is used for this connective.

A statement letter or a negation of a statement letter (Mendelson 1997, p. 30).