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Linear algebra is the study of linear sets of equations and their transformation properties. Linear algebra allows the analysis of rotations in space, least squares fitting, ...

The q-analog of the Pochhammer symbol defined by (a;q)_k={product_(j=0)^(k-1)(1-aq^j) if k>0; 1 if k=0; product_(j=1)^(|k|)(1-aq^(-j))^(-1) if k<0; ...

If a is an element of a field F over the prime field P, then the set of all rational functions of a with coefficients in P is a field derived from P by adjunction of a.

The direct limit of the cohomology groups with coefficients in an Abelian group of certain coverings of a topological space.

A complex polynomial is a polynomial with complex coefficients.

A polynomial with real positive coefficients and roots which are either negative or pairwise conjugate with negative real parts.

A "line" having imaginary coefficients in its equations which can arise in algebraic geometry.

For every dimension n>0, the orthogonal group O(n) is the group of n×n orthogonal matrices. These matrices form a group because they are closed under multiplication and ...

A factor of a polynomial P(x) of degree n is a polynomial Q(x) of degree less than n which can be multiplied by another polynomial R(x) of degree less than n to yield P(x), ...

A module taking its coefficients in a ring R is called a module over R or R-module.