Sentence examples for matrices and thus from inspiring English sources

The discrete Poisson equation is solved in a novel way that avoids any full matrices and thus improves numerical efficiency.

The magnetic susceptibility enabled tracing EMNP in complex matrices and thus improves the understanding of the general distribution of ENP in technical as well as environmental systems.

These techniques do not require the inversion of large system matrices and thus enable the solution of large-scale acoustic problems where backscatter is not of interest.

which is exactly (4) with parameter-dependant matrices and thus, according to Theorem 2, proves the robust stability of the system.

From Equation 30, we can see that U k, k=1,⋯,K are PSD matrices, and thus from Equation 27, U is PSD.

From Equation 21, we can see that Q kl, k=1,⋯,K, l=1,⋯,L are positive semidefinite (PSD) matrices, and thus from Equation 19, Q k, k=1,⋯,K are PSD matrices.

However, compared to LDPE membranes CPP exhibited a lower retention of fish tissue matrix and thus reduced cleanup efficiency.

The Zn-rich phases present in ZX50 are nobler than the Mg matrix, and thus act as cathodic sites.

The focus of tissue engineering of neocartilage has traditionally been on enhancing extracellular matrix and thus biomechanical properties.

One disadvantage of this algorithm is that it requires inversion of the channel matrix and thus is of high complexity.

SEM images illustrated that NC refined the pores of cement matrix and thus resulting in low permeability.