Look up bilinear in Wiktionary, the free dictionary.
Bilinear may refer to:
Bilinear sampling (also called "bilinear filtering"), a method in computer graphics for choosing the color of a texture
Bilinear form, a type of mathematical function from a vector space to the underlying field
Bilinear interpolation, an extension of linear interpolation for interpolating functions of two variables on a rectilinear 2D grid
Bilinear map, a type of mathematical function between vector spaces
Bilinear transform, a method of transforming from the S to Z domain in control theory and signal processing
Bilinear transformation (disambiguation)
Topics referred to by the same term
This disambiguation page lists articles associated with the title Bilinear. If an internal link led you here, you may wish to change the link to point directly to the intended article.
Look up bilinear in Wiktionary, the free dictionary. Bilinear may refer to: Bilinear sampling (also called "bilinear filtering"), a method in computer...
In mathematics, bilinear interpolation is a method for interpolating functions of two variables (e.g., x and y) using repeated linear interpolation. It...
In mathematics, a bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements...
In mathematics, a bilinear map is a function combining elements of two vector spaces to yield an element of a third vector space, and is linear in each...
Bilinear transformation may refer to: Bilinear map or bilinear operator Bilinear transform (signal processing), a type of conformal map used to switch...
defines a bilinear form B : X × X → F, with the relation B(x, y) = u(x)(y). By defining the transpose of this bilinear form as the bilinear form tB defined...
The bilinear transform (also known as Tustin's method, after Arnold Tustin) is used in digital signal processing and discrete-time control theory to transform...
generalization of a bilinear form that, in turn, is a generalization of the concept of the dot product of Euclidean space. A bilinear form is linear in...
In mathematics, a symmetric bilinear form on a vector space is a bilinear map from two copies of the vector space to the field of scalars such that the...
often used as building blocks for more complex operations: for example, a bilinear interpolation can be accomplished in three lerps. Because this operation...
Quadratic forms correspond one-to-one to symmetric bilinear forms over the same space. A symmetric bilinear form is also described as definite, semidefinite...
mathematics, specifically linear algebra, a degenerate bilinear form f (x, y ) on a vector space V is a bilinear form such that the map from V to V∗ (the dual...
In mathematics, a bilinear program is a nonlinear optimization problem whose objective or constraint functions are bilinear. An example is the pooling...
allows a user to verify that a signer is authentic. The scheme uses a bilinear pairing for verification, and signatures are elements of an elliptic curve...
In particle physics, the Dirac equation is a relativistic wave equation derived by British physicist Paul Dirac in 1928. In its free form, or including...
phase of light. Spacetime is equipped with an indefinite non-degenerate bilinear form, called the Minkowski metric, the Minkowski norm squared or Minkowski...
and W (over the same field) is a vector space to which is associated a bilinear map V × W → V ⊗ W {\displaystyle V\times W\rightarrow V\otimes W} that...
a: System of linear equations, System of nonlinear equations, System of bilinear equations, System of polynomial equations, System of differential equations...
matrix of the bilinear form on the new basis is P T B P . {\displaystyle P^{\mathsf {T}}\mathbf {B} P.} A symmetric bilinear form is a bilinear form B such...
{T}}Ay=y^{\mathsf {T}}Ax.} Thus, bq is a symmetric bilinear form over K with matrix A. Conversely, any symmetric bilinear form b defines a quadratic form q ( x )...
mathematics, a system of bilinear equations is a special sort of system of polynomial equations, where each equation equates a bilinear form with a constant...
\geq c\|x\|^{2}} for all x {\displaystyle x} in H . {\displaystyle H.} A bilinear form a : H × H → R {\displaystyle a:H\times H\to \mathbb {R} } is called...
shape, not the image) is smoother than corresponding surfaces obtained by bilinear interpolation or nearest-neighbor interpolation. Bicubic interpolation...
properties may be summarized by saying that the dot product is a bilinear form. Moreover, this bilinear form is positive definite, which means that a ⋅ a {\displaystyle...
field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure consisting of a set...
Luis Vega, Tao made some foundational contributions to the study of the bilinear restriction problem, establishing new exponents and drawing connections...
linearly interpolating the two nearest mipmaps relevant to the sample. In Bilinear filtering, the four nearest texels to the pixel center are sampled (at...
which a bilinear form or a sesquilinear form may be naturally associated, which is positive-definite. See, in particular: Positive-definite bilinear form...
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