Sentence examples for matrix analysis the from inspiring English sources

In matrix analysis, the elements of the matrix to determine the nonsingularity of the matrix have been widely used in practical problems.

By decomposing the overall results from the dynamic stiffness matrix analysis, the responses of the shell can then be interpreted in terms of wave propagation.

Using the coincidence degree, the Lyapunov functional and matrix analysis, the existence and its global exponential stability of a periodic solution have been established for this model, assuming no boundedness, monotonicity and differentiability of activation functions.

By the continuation theorem of topological degree, the Lyapunov functional and analytic techniques such as matrix analysis, the existence and its global exponential stability of ω-periodic solutions are established.

It should be noted that in [6, 7], and [9] various powerful tools (such as the method of matrix analysis, the semi-group method, the coupling method, and the Chen-Stein method) for providing Le Cam's inequality have been demonstrated.

Based on the orthogonal matrix analysis for the acidic catalyst, the effects of the factors decreased in the order of reaction temperature (47.5%) > solvent quantity (26.7%) > reaction time (17.5%) > catalyst amount (8.3%).

The Correlation matrix analysis illustrates the correlation between genes on the basis of the selected libraries.

Then, applying the matrix analysis and the vector-valued mapping fixed point analysis method, an existence theorem of solutions for this kind of the system is established.

The new sum of squared logarithms inequality is one of the fundamental tools in deducing a novel optimality result in matrix analysis and the conditions in the form (3) had been deduced in the course of that work.

This paper outlines the idea to combine the BCG Matrix analysis with the Delphi methodology.

The dot matrix analysis of the OwlRep sequence (Fig.  3) revealed that both tandem and inverted repeat structures were present within the repeat units.