Sentence examples for matrix studied in from inspiring English sources

Firstly, we use these functions to determine the copositivity of the symmetric matrix studied in [3], where satisfies ; only if and.

Random matrices studied in physics have statistical properties similar to the statistical properties of randomly chosen sequences of numbers, but no explanation was available until Okounkov showed an underlying unity between branches of physics, the probabilistic behaviour of numbers, and algebraic geometry based on the concept of random surfaces.

This distance based similarity matrix S is a positive (semi -definite kernel matrix well semi -definitehine learning and bioinformatics.

As an example the reduction of Mn3O4 into MnO for nano-sized oxide precipitates in a silver matrix was studied in detail.

To further show the efficiency of the shift-splitting preconditioner for singular nonsymmetric saddle-point problems (1.1), the eigenvalue bounds of the shift-splitting preconditioned saddle-point matrix are studied in detail in this paper.

In order to better understand the failure mechanism of continuous yarn reinforced cementitious composites, the interaction between yarn and matrix is studied in this work by means of pull-out behaviour analysis.

Moreover, it is important to observe that even if in this case all the matrices (mathfrak{B}^{ (i )}) are symmetric, the matrix T is not, since the number of connections in every block is different (the case of symmetric connectivity matrices is studied in Sect. 6.2).

The creep behaviour of these matrices was studied in the temperature interval ranging from 1000 to 1400 °C.

Rank two parametric perturbations of operators and matrices are studied in various settings.

The Bezout equation over the rings of proper stable rational functions and matrices is studied in this paper.

Specifically, the cell number, morphology, and metabolic activity of the adhered and proliferated cells on the polyethylene matrices were studied in vitro.