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A nonhomogeneous linear equation or system of nonhomogeneous linear systems of equations is said to be affine.

The word adjoint has a number of related meanings. In linear algebra, it refers to the conjugate transpose and is most commonly denoted A^(H). The analogous concept applied ...

An algebra S^' which is part of a large algebra S and shares its properties.

A branch of mathematics which brings together ideas from algebraic geometry, linear algebra, and number theory. In general, there are two main types of K-theory: topological ...

A finite division algebra is a field.

A linear functional on a smooth differential form.

Predictability at a time tau in the future is defined by (R(x(t),x(t+tau)))/(H(x(t))), and linear predictability by (L(x(t),x(t+tau)))/(H(x(t))), where R and L are the ...

A finite-dimensional Lie algebra all of whose elements are ad-nilpotent is itself a nilpotent Lie algebra.

A generalization of a Heyting algebra which replaces Boolean algebra in "intuitionistic" logic.

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.