bilinear
Speech parts
1. bilinear - Noun
2. bilinear - Adjective
3. bilinear - Adjective Satellite
Meaning
Of, pertaining to, or included by, two lines; as, bilinear coordinates.
Source: Webster's dictionarySynonyms
Antonyms
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Examples
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.
" Algebra ", when referring to a structure, often means a vector space or module equipped with an additional bilinear operation.
As above, we let (V, g) be an n -dimensional complex vector space equipped with a nondegenerate bilinear form.
For example, a bilinear form is the same thing as a (0, 2) -tensor; an inner product is an example of a (0, 2) -tensor, but not all (0, 2) -tensors are inner products.
For clarity, the 8x8 macroblock in this example is magnified by 10x using bilinear interpolation.
A vector space equipped with an additional bilinear operator defining the multiplication of two vectors is an algebra over a field.