General mathematics

General mathematics

Mathematical terms covering a number of sub-fields such as algebra, geometry, trigonometry, calculus and others.

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General mathematics

matrix group

Mathematics; General mathematics

The set of all invertible square matrices of a given dimension, under matrix multiplication. The matrix group is one of the simplest and widely used groups where the multiplication operation is not ...

method of feasible directions

Mathematics; General mathematics

A technique in non-linear optimization by which functions of several variables work to reduce the problem to a series of one-dimensional optimization problems.

minimal

Mathematics; General mathematics

In mathematics, the term means the smallest, with its precise meaning dependent on the context. In set theory, a minimal set with respect to a given property is a set which has the property, but, if ...

absolute inequality

Mathematics; General mathematics

Absolute inequality is an inequality whose variables are valid with all possible substitutions of real numbers.

absolute invariant

Mathematics; General mathematics

Absolute invariant is any quantity or property of an algebraic expression that is preserved under birational transformations.

absolutely irreducible character

Mathematics; General mathematics

The character of an absolutely irreducible representation. A representation is absolutely irreducible if it is irreducible and remains irreducible when obtained by making an extension of the ground ...

geometric multiplicity

Mathematics; General mathematics

Given an eigenvalue λ of a matrix A, the geometric multiplicity of λ is the dimension of its eigenspace. It coincides with the size of the diagonal block with diagonal element λ in the Jordan normal ...