द्विरेखीय इसके अंग्रेजी अर्थ का उदाहरण

One weakness of bilinear, bicubic and related algorithms is that they sample a specific number of pixels.

When downscaling the nearest larger mipmap is used as the origin, to ensure no scaling below the useful threshold of bilinear scaling is used.

Symmetric bilinear form § Orthogonal polarities.

Civil parishes in Worcestershire In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (e.

It allows the study of bilinear or multilinear operations via linear operations.

To check that a tensor product M \otimes_R N is nonzero, one can construct an R-bilinear map f:M \times N \rightarrow G to an abelian group G such that f(m,n) \neq 0 .

\begin{cases} \operatorname{Hom}_R(M \otimes_R N, G) \simeq \{R\text{-bilinear maps } M \times N \to G \}, \\ g \mapsto g \circ \otimes \end{cases}.

In all cases the only function from to G that is both linear and bilinear is the zero map.

In the general case, each element of the tensor product of modules gives rise to a left R-linear map, to a right R-linear map, and to an R-bilinear form.

Thus, an element of a tensor product ξ ∈ F∗ ⊗R E∗ may be thought of giving rise to or acting as an R-bilinear map .

It is based on the notion of the Killing form, a symmetric bilinear form on \mathfrak{g} defined by the formula.

gave a very short proof that if a finite-dimensional Lie algebra (in any characteristic) has a non-degenerate invariant bilinear form and no non-zero abelian ideals, and in particular if its Killing form is non-degenerate, then it is a sum of simple Lie algebras.

the Lie algebra \operatorname{SL}_p(k) is simple if k has characteristic not 2 and has vanishing Killing form, though it does have a nonzero invariant bilinear form given by (a,b) \operatorname{tr}(ab).