Sentence examples for matrices as well from inspiring English sources

Here, the proposed generalizations cover both nonsymmetric matrices as well as fully nonlinear models.

The effects are studied based on information and correlation matrices, as well as the confidence interval.

Red and green color space-based color distribution statistical matrices, as well as corresponding overlap indices, are proposed.

Physicochemical properties of the bulk and dispersed lipid matrices as well as features of the P407 solutions were determined.

Gordon and Pearson, in [3], characterized the self-adjoint constant point transfer matrices as well as eigenparameter-dependent ones.

With this result, the interpolated Young and Heinz inequalities for matrices as well as related refined inequalities were established.

We believe that these results are general enough to be extended to non-square matrices as well.

Popular choices include atomic and nuclear norms (applied to Hankel matrices) as well as norms induced by the so called stable spline kernels.

Their applicability for monitoring purpose is discussed by evaluating sensitivity and selectivity considering real-water matrices as well as by assessing the simplicity and duration of the analysis.

We demonstrate the computational efficiency of the proposed BAB approaches by applying them to randomly generated matrices as well as to the Tennessee Eastman benchmark example.

Liquid chromatography mass spectrometry (LC MS) methods have been successfully used to identify and determinate steroids in different matrices, as well as to study their metabolisms.