Sentence examples for mapping induced by from inspiring English sources

Using we now define the surjective mapping induced by.

Sintunavarat et al. [35] established some coupled fixed point theorems for a contraction mapping induced by the cone ball metric in partially ordered spaces and also discussed the condition claim of the uniqueness of a coupled fixed point.

Let the random fuzzy mapping ({hat{T}}:Omegatimes Hto{mathcal{F}}(H)) satisfy the condition (I) and (T Omegatimes Hto operatorname{CB}(H)) be the random multi-valued mapping induced by the random fuzzy mapping T̂.

The recent prominent works for these strategies are proposed in [5, 6, 19, 20] where the data are first transformed by a nonlinear mapping induced by a particular kernel and then efficient linear classifiers are trained in the resulting space.

\(M\) is said to solve a function problem \ f A \rightarrow B\) just in case the mapping induced by its operation coincides with \(f(x)\) – i.e. if \(M x) = f(x)\) for all \(x \in A\) where \(M x)\) denotes the result of applying machine \(M\) to input \(x\), again relative to the input-output conventions for the model \(\mathfrak{M}\).

By using the fuzzy mapping S k ˆ, we can define a set-valued mapping S k : X → CB ( X ) by S k ( x ) = ( S ˆ x ) a k ( x ) for each x ∈ X, and S k is called the set-valued mapping induced by the fuzzy mapping S k ˆ for any k ∈ C in the sequel, respectively.

The convergence proof relies on the construction of a strict Lyapunov function for the Kraus map induced by this reservoir setting on the spring subsystem.

However, pretreatment with another receptor antagonist calcitonin gene-related peptide (CGRP 8-37 did not suppress the increases of RSNA and MAP induced by IMD.

Let A∈Matd×d CG) and Ak∈Matd×d(C(G/Gk)) be the images of A under the maps induced by the epimorphisms G→G/Gk.

In this paper, we study the topological centers of bilinear maps induced by unitary representations, giving a characterization when the center is minimal and also conditions which guarantee that the center is maximal.

In particular, the kernel of the map induced by λ in K-theory, is a free Z-module with a set of generators in bijective correspondence with the set of isolated series.