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The strong connection of the Physics and Geometry is wellknown, beginning with the roots in the geometrical similitude of the important method of the Physics similarity, up to the recent development...
In this note we show how to improve some recent upper and lower bounds for the elements of the inverse of diagonally dominant tridiagonal matrices. In particular, a technique described by [R. Peluso, ...
Let $K_2$ be the Milnor functor and let $\Phi_n(x)\in{\mathbb Q}[x]$ be the $n$-th cyclotomic polynomial. Let $G_n(\mathbb Q)$ denote a subset consisting of elements of the form $\{a, \Phi_n(a)\},$ wh...
In this paper, we discuss the quadrilateral finite element approximation to the two-dimensional linear elasticity problem associated with a homogeneous isotropic elastic material. The optimal conver...
We present and analyze a robust preconditioned conjugate gradient method for the higher order Lagrangian finite element systems of a class of elliptic problems. An auxiliary linear element stiffnes...
We examine a simple averaging formula for the gradient of linear finite elements in $R^d$ whose interpolation order in the $L^q$-norm is $\Cal O(h^2)$ for $d<2q$ and nonuniform triangulations. For ...
We introduce a finite element scheme which yields the O(h~4)-superconvergence at nodes when solving a second order elliptic problem. Finite element functions used are globally continuous and bilinear ...
A Wronskian (resp. Casoratian) criterion is useful to test linear dependence of elements in a differential(resp. difference) field over constants. We generalize this criterion for invertible hyperexpo...
All rings are assumed to be finite commutative with identity element. An element a \in R is called a regular element if there exists b \in R such that a=a2b, the element b is called a von Neumann inve...
Four quadrilateral elements for the Reissner-Mindlin plate model are considered. The elements are the stabilized MITC4 element of Lyly, Stenberg and Vihinen [27], the MIN4 element of Tessler and Hughe...
We construct two low order nonconforming quadrilateral elements for the Reissner-Mindlin plate. The rst one consists of a modi ed nonconforming rotated Q1 element for one component of the rotation an...
We consider the real Banach spaces H(A) of all hermitian elements of a complex Banach algebra A. We prove that if an even power of a \in N(A) is hermitian, then a is an extreme point of the unit ball ...
Elements of a global operator approach to the WZNW models for compact Riemann surfaces of arbitrary genus g with N marked points were given by Schlichenmaier and Sheinman. This contribution reports o...
The Picard group \mathbf{P} is a discrete subgroup of PSL(2,\Bbb{C}) with Gaussian integer coefficients. Here it is shown that the total number of conjugacy classes of elliptic elements of order 2 and...

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