Examples of 'bilinear form' in a sentence
Meaning of "bilinear form"
bilinear form ~ a mathematical function that is linear in each of its variables
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- A function of two arguments from the same vector space which maps onto a field of scalars, which acts like a linear form with respect to either one of its arguments when the other one is held constant.
How to use "bilinear form" in a sentence
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bilinear form
An invariant bilinear form is defined on the cell modules.
Unimodular symmetric bilinear form.
A symmetric bilinear form is a bilinear form on a vector space that is symmetric.
Alternating bilinear form.
Lattices are often embedded in a real vector space with a symmetric bilinear form.
Reflexive bilinear form.
These three numbers form the signature of the bilinear form.
A vector space with a bilinear form generalizes the case of an inner product.
These properties may be summarized by saying that the dot product is a bilinear form.
A matrix representing a bilinear form is symmetrical if and only if the latter is symmetrical.
The matrix A is a symmetric matrix exactly due to symmetry of the bilinear form.
A bilinear form B is reflexive if and only if it is either symmetric or alternating.
The matrix will be symmetric if the bilinear form B is a symmetric bilinear form.
This bilinear form is called the Frobenius form of the algebra.
Suppose that a is a complex semisimple Lie algebra with invariant symmetric bilinear form.
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This is therefore a bilinear form note that K must be a field.
So, an inner product on a real vector space is a positive-definite symmetric bilinear form.
When the bilinear form applied to two vectors results in zero, then they are orthogonal.
When the algebra is a matrix algebra, such an antiautomorphism is the adjonction for a bilinear form.
The above expression, a symmetric bilinear form at each point, is the second fundamental form.
The bilinear form uses gradient of the functions that has only 1st order differentiation.
In this section we assume that V is finite-dimensional and its bilinear form is non-singular.
Any positive symmetric bilinear form defines a new inner product on R2n.
The 2-torsion points on an Abelian variety admit a symplectic bilinear form called the Weil pairing.
The bilinear form η used in Minkowski space determines a pseudo-Euclidean space of events.
Is a non-degenerate bilinear form.
General bilinear forms = = Let formula 1 be a vector space over a field formula 2 equipped with a bilinear form formula 3.
Anti-symmetric bilinear form.
As above, we let ( V, g ) be an n-dimensional complex vector space equipped with a nondegenerate bilinear form.
Skew-symmetric bilinear form.
The bilinear form f { \ displaystyle f } is symmetric.
Allowing as input two different vectors instead yields the bilinear form associated to A, BA ( x, y ) xTAy.
Bilinear form and solitary waves ", Proc.
The matrix will be symmetric if the bilinear form B { \ displaystyle B } is symmetric.
In coordinates, this is the 4 × 4 matrix representing the bilinear form.
Two elements u and v of a vector space with bilinear form B are orthogonal when B ( u, v ) = 0.
Allowing as input two different vectors instead yields the bilinear form associated to A,, " B " A ( x, y ) xTAy.
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Examples of using Bilinear
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Bilinear interpolation on the same dataset as above
A multilinear map of two variables is a bilinear map
A bilinear interpolation can be used for example
Examples of using Form
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The most powerful form of advocacy is demonstration
Information in the form of periodic communications or national
There is a specific form for each speciality
