Sentence examples for a related operator from inspiring English sources

The main tools used in this study are combinatorial properties of R-transforms for joint distributions and a related operator model, with operators acting on the full Fock space.

Section 3 studies the operator A and derives Krein-type resolvent formulas for it in terms of (A_0) and a related operator.

The representation in (^{o} varpi_{2}^{3}[0,1]) and a related linear operator are presented in Section 4.

The first is derived by discretization of a related continuous operator that differs from the original only in its boundary conditions.

(3)The formula in the last display allows to shift the study of solutions to the analysis of a related integral operator.

The related operator is called Hilbert-Hardy-type operator.

Given an operator space V, we study several different types of completely bounded polynomials on V which form the operator space duals of ⊗m,sV endowed with related operator structures.

We also obtained estimates for related operators, including an optimal L2 estimate for operators (with singular kernels) whose phase functions have non-singular Hessians.

In the area of computer vision, a multi-scale differential geometric framework in terms of Gaussian derivatives and closely related operators has become an accepted and de facto standard for defining image features for feature detection, feature classification, stereo matching, motion estimation, object recognition, spatio-temporal recognition, shape analysis, and image enhancement.

Constraints consideration for using the HGEO and the effects of related operators are also investigated.

The paper presents the fundamental theory of the Laplace-domain logarithmic operator, and related operators.