This second programming assignment will require you to write an R function that is able to cache potentially time-consuming computations. For example, taking the mean of a numeric vector is typically ...

135.5e9 9.65e9 9.65e9 ... 'c22_fiber' , 13.47e9, ... 'c22_r_fiber' , 13.21e9, ... 'c22_i_fiber' , 0.49e9, ... 'c44_fiber' , 3.46e9, ... 'c44_r_fiber' , 3.29e9 ...

Matrix functions, such as the exponential, square root and cosine, play an indispensable role in various fields including quantum mechanics, control theory and numerical solution of differential ...

Abstract: We investigate the matrix function optimization under the orthonormal constraint on the matrix variable. By introducing an index-notation-arrangement-based chain rule (I-Chain rule), we ...

In this work the matrix exponential function is solved analytically for the special orthogonal groups up to . The number of occurring k-th matrix powers gets limited to by exploiting the ...

Biofilms of the fungus Candida albicans produce extracellular matrix that confers such properties as adherence and drug resistance. Our prior studies indicate that the matrix is complex, with major ...

To grasp recent advancements in decellularized extracellular matrix-based bioinks in 3D printing for tissue engineering, we conducted a metrological analysis of the articles in this field, Utilizing ...

ABSTRACT: This paper deals with the study of the composite Humbert matrix function with matrix arguments . The convergence and integral form this function is established. An operational relation ...

ABSTRACT: The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H2(A,A′,B,B′;C;z,w) is obtained and ...

Abstract: We consider a generalization of the Laplace transform of Poisson shot noise defined as an integral transform with respect to a matrix exponential. We denote this as the matrix Laplace ...