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definite is only defined over symmetric bilinear forms. Eulermatroid (talk) 10:48, 1 February 2012 (UTC) Is this necessarily the case? Any bilinear form...

points are lacking: the related notion of positive definite matrix; the matrix of a definite quadratic form and the characterization of the positiveness through...

general concept of a positive definite bilinear form is a single general topic; For a positive-definite matrix, the bilinear form x T M y {\displaystyle x^{\mathrm...

lattices links to positive definite, which redirect to definite bilinear form. However, the best explanantion of "positive definite" in this context can be...

Q and F are the same sorts of things (quadratic forms) while B is something different (a bilinear form). If it can be done in a non-clumsy way, i think...

positive definite bilinear form. But reciprocally, a norm defines a quadratic form which has an associated bilinear form (which I knew as its "polar form", but...

discussed at symmetric bilinear form. It is clearer to understand the relationship between general and symmetric bilinear forms as one step, with the remark...

often gets used in WP in the conflicting sense of a bilinear form (not necessarily positive definite), especially in geometric algebra and physics article...

(talk) 01:39, 3 August 2016 (UTC) The article has been revised with bilinear form taking the place of inner product. — Rgdboer (talk) 00:20, 4 August...

metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensional vector space) is the number...

easy to see, that there are no gravitational waves if the bilinear form <,> is positive definite. Let me add the reference for this [Lecture Notes in Mathematics...

It is not needed that the bilinear form is symmetric!!! A "metric linear map" is an "isometry". Using both term is not helping for the understanding....

z_{j}\mapsto iz_{j}} changes the signature of a form. This seems wrong to me: if we have an bilinear form x † d i a g ( 1 , . . , 1 , − 1 , . . , − 1 )...

context I can think of where they turn up is bilinear forms. It might be best to have a section on bilinear forms first (which would mention inner products...

definite inner product. That is a very context-dependent point. In many contexts, inner product is indeed taken to mean a positive-definite bilinear form...

if this is relevant, but the structure of "Definite bilinear form" has the same "if Hermitian then PD" form, without saying "iff Hermitian then PD". Even...

group includes the context of the general quadratic form, something compatible with the bilinear form taken in the article. Naturally η is the invariant...

Currently the article starts with a quadratic form. The article should show that this induces a symmetric bilinear form on the pseudo-Euclidean space. The term...

of M with itself, which at each point gives us a positive-definite symmetric bilinear form (i.e. an inner product). See e.g. http://planetmath...

context of geometric algebras, namely as a nondegenerate bilinear form, not necessarily positive-definite. It similarly abuses the terms norm and Gramian matrix...