Sentence examples for matrices are proved from inspiring English sources

Random measurement matrices are proved to have the merit of universality but suffer from several shortcomings.

The uniform ultimate boundedness of the visual servoing error and the neural network weight matrices are proved by Lyapunov theory.

The directional derivatives of the multiple eigenvalues are obtained, and the average of eigenvalues and corresponding generalized eigenvector matrices are proved to be analytic.

Existence, (off-diagonal) smoothness, and energy decay of the integral kernels of scattering matrices are proved for a class of time-periodic Schrödinger equations.

In particular, for the case that the Tikhonov parameter β is not very small, the bounds of eigenvalues of preconditioned matrices are proved to remain bounded away from 0 as (hrightarrow0) with a bound independent of h.

The nanofiber matrices were proved cytocompatible when seeded with bone-forming 7F2-cells, promoting attachment and proliferation over 7 days.

In this paper, two results concerning the trace of powers of the Oriented Markov Matrix are proved.

A biphase structure of IPN PU/PHEMA matrix was proved.

The presence of electric field-induced FE domains in the PE matrix was proved by field dependent Fourier transform infrared study.

DLC matrix was proved as an excellent matrix for metal nanoparticles being able to prevent nanoparticles from chemical and mechanical hazards.

A Jacobi operational matrix was proved and applied for approximating the multi-term FDEs in [25] and a linear fuzzy fractional differential equation in [26].