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A map f:R^n|->R which assigns each x a scalar function f(x).

The dihedral group D_2 is a point group that is isomorphic to the vierergruppe and the finite group C_2×C_2.

The intersection phi(G) of all maximal subgroups of a given group G.

A ring for which the product of any pair of ideals is zero only if one of the two ideals is zero. All simple rings are prime.

A polynomial with coefficients in a field is separable if its factors have distinct roots in some extension field.

The ultraradical symbol is a notation thet can be used to express solutions not obtainable by finite root extraction. The solution to the irreducible quintic equation x^5+x=a ...

The quintic equation x^5+ax^3+1/5a^2x+b=0 (1) is sometimes known as de Moivre's quintic (Spearman and Williams 1994). It has solutions x_j=omega^ju_1+omega^(4j)u_2 (2) for ...

Diagonalize a form over the rationals to diag[p^a·A,p^b·B,...], where all the entries are integers and A, B, ... are relatively prime to p. Then the p-signature of the form ...

The connective in logic corresponding to the exclusive nor operation. A XNOR B is equivalent to (A ^ B) v (!A ^ !B), where ^ denotes AND, v denotes OR, and !A denotes NOT. ...

In geometry, the term "enlargement" is a synonym for expansion. In nonstandard analysis, let X be a set of urelements, and let V(X) be the superstructure with individuals in ...