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Recently, applied mathematicians have been pursuing the goal of sparse coding of certain mathematical models of images with edges. They have found by mathematical analysis that, instead of wavelets ...
We nd it interesting that such a natural naive approach as we will describe actually works, and yields a desingularization with these nice properties.
1. This paper provided the distributive law of odd primes in the natural numbers. 2. Given a mathematical model of two opposite directional sequences of natural numbers: ︳Omin ,…,…,…,Omax ︳ ︳Omax ,…, ...
Find out the distributive law of primes in the natural numbers. By means of the distributive law of primes we show that even numbers 2x≥6 can be expressed as the sum of two primes.
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
We present Las Vegas algorithms for constructive recognition and constructive membership testing of the Ree groups 2G_2(q) = Ree(q), where q = 3^{2m + 1} for some m > 0, in their natural representatio...
We consider the rooted trees which not have isomorphic representation and introduce a conception of complexity a natural number also. The connection between quantity such trees with $n$ edges and a co...
This article addresses a modification of local time for stochastic processes, to be referred to as `natural local time'. It is prompted by theoretical developments arising in mathematical treatments o...
The heat generation effects on magnetohydrodynamic(MHD) natural convection flow along a vertical wavy surface with variable thermal conductivity have been investigated. The governing boundary layer eq...
The concept of modulation is generalized to pseudo-modulation and its subclassesincluding pre-modulation, generalized modulation and regular modulation. The moti- vation is to deˉne the valued analog...
Abstract: For every natural number $T,$ we write $\Ln T$ as a series, generalizing the known series for $\Ln 2.$.
Abstract: In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending el...
Abstract: We prove a natural inequality which implies the known lower bounds for the $(n-1)$-dimensional Hausdorff measure of nodal sets for smooth compact manifolds.
Abstract: This paper concerns a study of the pointwise behaviour of positive solutions to certain quasi-linear elliptic equations with natural growth terms, under minimal regularity assumptions on the...
Abstract: In a fibre bundle, natural derivatives of a section are defined as tangent vector fields on the image of a section of the fibre bundle. A local extension to vector fields in the tangent bund...

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