Sentence examples for matrix analysis and from inspiring English sources

Applications in matrix analysis and nonlinear elasticity are indicated.

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.

Bullard and Sebald (1977) applied the theory to update the inverse matrix in SAM (social accounting matrix) analysis and developed an algorithm yielding the correspondence among the elements.

Based on the Lyapunov-Krasovskii functional method, a simple sufficient condition of synchronization is derived by using matrix analysis and matrix inequality technique.

In the last section, an application of the sum of squared logarithms inequality in matrix analysis and in the mathematical theory of nonlinear elasticity is indicated.

Furthermore, using matrix analysis and stakeholder responses, we identify interactions, synergies, conflicts, and potential co-benefits between mitigation and adaptation, and food production practices.

By the M-matrix analysis and Lyapunov functions, sufficient conditions of stochastic permanence and extinction are established.

By means of the M-matrix analysis and Lyapunov functions, we study stochastically ultimate boundedness and stochastic permanence, and the sufficient condition of stochastic permanence is given in Section 3.

Also ICD technique can effectively solve the limited sensitivity in complex bio-matrices analysis and unavailability of isotope internal standards in quantitative analysis.

We recorded euclidean distance matrix analysis, linear and angular measurements, and x and y co-ordinates of cephalometric landmarks for each cephalograph.

To statistically determine differences in the way the two mutant phenotypes differed from their respective unaffected littermates, we used a confidence interval procedure developed within EDMA, Euclidean Distance Matrix Analysis (Lele and Richtsmeier, 1995; Lele and Richtsmeier, 2001).