Sentence examples for matrix function and from inspiring English sources

If we have the vector-function, then we consider the matrix function and its functional determinant (2.2).

where is an approximate fundamental matrix function and is an error vector function.

Now we assume that in (1) and (2) (A t)) is a local-almost automorphic matrix function and (f(t)) is a local-almost automorphic vector function.

Let (Q cdot):[t_{0},theta]rightarrowmathbb{R}^{mtimes m}) be a continuous matrix function and (Q s)) be a positive definite (mtimes m) matrix for every (sin [t_{0},theta ]).

This review examines the state-of-the-art potential new targets for innovative research in PAH, focusing on (1) the crosstalk between cells within the pulmonary vascular wall, with particular attention to the role played by dysfunctional endothelial cells; (2) aberrant inflammatory and immune responses; (3) the abnormal extracellular matrix function; and (4) altered BMPRII/KCNK3 signaling systems.

Finally, in this paper we consider the following linear dynamic equation on a changing-periodic time scale (mathbb{T}): x^{Delta}(t)=A t)x t)+f(t) (1) and its associated homogeneous equation x^{Delta}(t)=A t)x t), (2) where (A t)) is a local-almost periodic matrix function, and (f(t)) is a local-almost periodic vector function.

Primary matrix functions and spectral functions are two classes of orthogonally invariant functions on a symmetric matrix argument.

with continuous matrix functions, and continuous delay argument satisfying for all.

Applying the integral representation formulas of H-monogenic circulant ( 2 × 2 ) matrix functions and H-2-monogenic circulant ( 2 × 2 ) matrix functions, we get mean values formulas.

The notations,, and are convolution product, Kronecker convolution product and Hadamard convolution product of matrix functions and, respectively.

its action on the matrix functions and being given by matrix multiplication, followed by an operator action on the level of the entries, that is, (4.18).