Sentence examples for mapping associated to from inspiring English sources

The duality mapping associated to a gauge function is defined by (21).

Let A, B be two nonempty closed subsets of a metric space ((X,d)) and (f:Xrightarrow X) be a cyclic mapping associated to ((A,B)).

Let A, B be two nonempty closed subsets of X and (f: A cup B to A cup B) be a cyclic mapping associated to ((A,B)).

Define the continuous mapping (mathcal{F}:mathbb{R}^{2}rightarrow mathby{R}^{2}) by (mathcal{F}=(mathcal{F}_{1}, mathcal{F}_{2})=mathcal{P}-mathrm{id}), where (mathcal{P}) denotes the Poincaré mapping associated to system (4.19).

Then (f:Xrightarrow X) is called a cyclic mapping associated to ((A,B)) if the following conditions hold: (i) (X=A cup B);   (ii) (f(A)subseteq B ) and (f(B subseteq A).  .

A natural way is to compute and analyze the normal vector of the separation in feature space,, where Φ is the feature mapping associated to the kernel k.

In the figure, we therefore include the experimental field maps associated to various frequency peaks, which correspond to different bulk bands in Fig. 2e,f.

In this paper we prove stability estimates for the hyperbolic Dirichlet to Neumann map associated to the wave equation in anisotropic media.

In particular, when applied to a forward kinematic map associated to some robot arm structure, the complexity measures the inherent discontinuities that arise when one attempts to solve the motion planning problem for any set of input data.

Let be the exponential map associated to.

Since, then the map associated to sends into itself.