Sentence examples for be a polynomial mapping from inspiring English sources

Let (mathcal{P}) be a polynomial mapping: (mathbb{R}_longrightarrowmathbb{R}^{n}), where (mathcal{P}(t)=(P_{1}(t),ldots, P_{n}(t))) and (P_{i}) ((i=1,2,ldots, n)) are real polynomials defined on (mathbb{R}_).

Lemma 2.2 Let P be a polynomial mapping R + ⟶ R d, where P ( t ) = ( P 1 ( t ), P 2 ( t ), …, P d ( t ) ) and P i is a real polynomial defined on R + ( i = 1, …, d ).

Let P be a polynomial mapping R + ⟶ R d, where P ( t ) = ( P 1 ( t ), P 2 ( t ), …, P d ( t ) ) and P i is a real polynomial defined on R + ( i = 1, …, d ).

For example, f might be a polynomial function.

The map given by (3.17). is a polynomial function with rational coefficients, which sends into itself.

Let F :  Set → Set be a polynomial endofunctor.

This is achieved inside the discretisation through a polynomial mapping of both source and flux terms without imposing filters between time steps.

The images in the distorted image space are mapped onto the corrected image space by using a polynomial mapping model.

Computability property: for any, ( y,z in G_{1} ) there is a polynomial time algorithm to compute the mapping e y, z) ∊ G 2. Non-degeneracy property, ( eleft( {g1,g1} right) ne 1 ).

The hypersurface S π passes through the origin and is the graph of a polynomial map P π : kerπ→Soc(A)≃k.

To every such algebra and a linear projection π on its maximal ideal with range equal to the socle Soc(A) of A, one can associate a certain algebraic hypersurface, which is the graph of a polynomial map P π : kerπ→Soc(A)≃k.