‎‎‎This paper presents a remarkable formula for spectral distance of a given block normal matrix $G_{D_0} = begin{pmatrix}‎ ‎A & B \‎ ‎C & D_0‎ ‎end{pmatrix} $ to set of block normal matrix $G_{D}$ (as same as $G_{D_0}$ except block $D$ which is replaced by block $D_0$)‎, ‎in which $A in mathbb{C}^{ntimes n}$ is invertible‎, ‎$ B in mathbb{C}^{ntimes m}‎, ‎C in mathbb{C}^{mti...

We propose a generalized CUR (GCUR) decomposition for matrix pairs $(A, B)$. Given matrices $A$ and $B$ with the same number of columns, such provides low-rank approximations both simultaneously, in terms some their rows columns. obtain indices selecting subset columns original using discrete empirical interpolation method (DEIM) on singular vectors. When is square nonsingular, there are close ...

in this paper we demonstrate the existence of a set of polynomials pi , 1 i  n , which arepositive semi-definite on an interval [a , b] and satisfy, partially, the conditions of polynomials found in thelagrange interpolation process. in other words, if a  a1  an  b is a given finite sequence of realnumbers, then pi (a j )  ij (ij is the kronecker delta symbol ) ; moreover, the sum of ...

Forced to step in and set up emergency clinics as hospitals fight legal battles for access critical supplies, many Indian doctors are turning activism, write Geetanjali Krishna Sally Howard

Definition 1 (Set) A Set is a collection of distinct elements. Those elements are also referred to as the Members of the Set. No meaning is known to the order of elements in a Set, nor to repetition of elements. We notate a ∈ A to mean than a is an element of the set A. If every member of a Set A is also a member of a Set B, A is said to be Contained in B, or a Subset of B, which is notated A ⊂...

Apparent shear stress acting on a vertical interface between the main channel and floodplain in a compound channel serves to quantify the momentum transfer between sub sections of this cross section. In this study, three soft computing methods are used to simulate apparent shear stress in prismatic compound channels. The Genetic Algorithm Artificial neural network (GAA), Genetic Programming (GP...