Sentence examples for matrices depending on from inspiring English sources

We introduce and solve exactly a family of invariant 2×2 random matrices, depending on one parameter η, and we show that rotational invariance and real Dyson index β are not incompatible properties.

Today physicists use both wave functions and matrices, depending on the application.

We study general properties of the leading eigenvalue ¯¯¯w q) of Eigen's evolutionary matrices depending on the replication fidelity q.

The main features of this approach are as follows: (i) The randomized algorithm gives a method for general LPV plants with state space matrices depending on scheduling parameters in a nonlinear manner.

The calculation of structural responses to dynamic excitation using the framework of the finite element (FE) procedure usually requires a significant amount of computation time; that is mainly attributable to repeated inversions of dynamic stiffness matrices depending on time or frequency intervals, which hastens the dissemination of the MR schemes in the analysis.

Armstrong [4] obtains two variants of technical coefficients matrices, depending on which of the following two assumptions is made.

The biological activities of peptide-chitosan matrices depend on the peptide.

Thus, the product of two matrices depends on the order of multiplication; if S and T are square matrices (matrices with the same number of rows as columns) of the same size, then ST and TS are rarely equal.

Toughness in continuous ceramic fiber reinforced ceramic matrix composites (CMCs) with dense matrices depends on the properties of the fiber coating or interphase.

These matrices depend on what similarity coefficient will be considered.

The stiffness matrix depends also on the material parameters, while the damping and coupling matrices depend on geometry, topology and material parameters.