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A nonsingular linear map A:R^n->R^n is orientation-reversing if det(A)<0.

A real-linear vector space H equipped with a symplectic form s.

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 linear combination of basis quaternions with integer coefficients.

A nonsingular linear map A:R^n->R^n is orientation-preserving if det(A)>0.

Ore algebra is an algebra of noncommutative polynomials representing linear operators for functional equations such as linear differential or difference equations. Ore ...

A linear functional defined on a subspace of a vector space V and which is dominated by a sublinear function defined on V has a linear extension which is also dominated by ...

A basis, form, function, etc., in two or more variables is said to be multilinear if it is linear in each variable separately.

A map u:M->N, between two compact Riemannian manifolds, is a harmonic map if it is a critical point for the energy functional int_M|du|^2dmu_M. The norm of the differential ...

A function of two variables is bilinear if it is linear with respect to each of its variables. The simplest example is f(x,y)=xy.