Definition of Nondegenerate. Meaning of Nondegenerate. Synonyms of Nondegenerate

Here you will find one or more explanations in English for the word Nondegenerate. Also in the bottom left of the page several parts of wikipedia pages related to the word Nondegenerate and, of course, Nondegenerate synonyms and on the right images related to the word Nondegenerate.

Definition of Nondegenerate

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Meaning of Nondegenerate from wikipedia

- In mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than)...
- The most important examples of nondegenerate forms are inner products and symplectic forms. Symmetric nondegenerate forms are important generalizations...
- injective (hence "nondegenerate" in the above sense) but not unimodular. For example, over the integers, the pairing B(x, y) = 2xy is nondegenerate but not unimodular...
- In mathematics, a real interval is the set of all real numbers lying between two fixed endpoints with no "gaps". Each endpoint is either a real number...
- is a differentiable manifold with a metric tensor that is everywhere nondegenerate. This is a generalization of a Riemannian manifold in which the requirement...
- spaces if they have an inner product (or more generally a symmetric nondegenerate form) and an orientation; this is less data than an isomorphism to Euclidean...
- signature (p, 1), or (1, p). There is another notion of signature of a nondegenerate metric tensor given by a single number s defined as (v − p), where v...
- On an inner product space, or more generally a vector space with a nondegenerate form (hence an isomorphism V → V ∗ {\displaystyle V\to V^{*}} ), vectors...
- called nondegenerate; this includes positive definite, negative definite, and isotropic quadratic form (a mix of 1 and −1); equivalently, a nondegenerate quadratic...
- the theory of nondegenerate quadratic forms on vector spaces, the finite-dimensional real and complex Clifford algebras for a nondegenerate quadratic form...