Sentence examples for matrix is proven from inspiring English sources

This matrix is proven to be nonsingular if the parameters, for, are distinct.

The weights of neural networks compose the synchronous weight matrix, and the uniformly ultimately bounded (UUB) of the synchronous weight matrix is proven.

In [18], a peculiar form of the CS sensing matrix is proven to exhibit good reconstruction properties while still being able to reduce the number of inter-sensor transmissions.

The symmetry of the acoustic loading matrix is proven by an acoustic reciprocal principle, which relate two sets of arbitrary surface normal velocities and surface pressures in terms of surface integrals.

The spectrum of the preconditioned matrix is proven to be clustered around 1 if diffusion coefficients are constant; hence the convergence rate of the proposed iterative algorithm is superlinear.

(2) The convergence of the proposed algorithm for calculating the cost matrix is proven theoretically, and the optimal path in terms of path length and risk measure from a starting point to a target point can be calculated in polynomial time.

Efficient dispersion of the inserted metal within the TiO2 matrix is proved from various characterization techniques such as XRD (X-ray Diffraction), TEM (Transmission Electron Microscope), etc.

A characterization theorem for the Euclidean distance matrix is proved in a concise way that brings out the underlying structure and is readily applicable to the algorithms that follow.

Biological efficacy of the hybrid matrix was proven onto tethered surface of biopolymer porous scaffolds.

Confirmatory factor analysis of the 1749 respondent population sample showed the estimated factor matrix was proven to match with the hypothesized factor matrix.

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