1. nondegenerate - Noun
2. nondegenerate - Adjective
nondegenerate (not comparable)
(mathematics, physics) Not degenerate
nondegenerate (plural nondegenerates)
(mathematics, physics) An instance or configuration that is not degenerate.
An almost symplectic manifold is a differentiable manifold equipped with a smoothly varying non-degenerate skew-symmetric bilinear form on each tangent space, i.e., a nondegenerate 2- form ω, called the symplectic form. Source: Internet
As above, we let (V, g) be an n -dimensional complex vector space equipped with a nondegenerate bilinear form. Source: Internet
If protons do decay, the mass of a white dwarf will decrease very slowly with time as its nuclei decay, until it loses enough mass to become a nondegenerate lump of matter, and finally disappears completely. Source: Internet
If the new vectors of the nondegenerate subspace are normalized according to : then these normalized vectors must square to +1 or −1. Source: Internet
More generally, if a degenerate geometric algebra is allowed, then the orthogonal matrix is replaced by a block matrix that is orthogonal in the nondegenerate block, and the diagonal matrix has zero-valued entries along the degenerate dimensions. Source: Internet
Unless otherwise stated, this article will treat only nondegenerate geometric algebras. Source: Internet