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Nonlocal operator of potential is suggested, based on the “nearest neighbour” approximation (NNA) for single electron wave function in metals. It is shown that Schrödinger equation with nonlocal potential leads to quite simple anal...

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A simplified analytical model for calculating the compressive residual stress field due to shot peening is given. For eight shot-peening conditions. experimental verifications were carried out on 40Cr steel with four different Buy Timbe...

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On basis of the geometric mean proposed recently by T. Ando, Chi-Kwong Li and Roy Mathias, in this paper we present several kinds of mixed means for three or more positive definite matrices, and prove some related mixed mean inequalitie...

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The (φk)2 model of Euclidean field theory is constructed using Brownian motion to model the movement of particles in space-“time.” The Brownian particles' path intersections are controlled by local time techniques and are associate...

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RELATIONSHIPS are described, to be imposed at a singular point on the values of the solutions of linear ordinary differential equations, and such that linear relationships are generated between the solutions. We argue that by treating ...

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Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The thermodynamic inequality is generalized and a chain of equivalent statements involving this inequality and ...

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Let A be a commutative, finite-dimensional, local k-algebra, and set B = EndA(M), where M is a finitely generated, faithful, indecomposable A-module. Guralnick asked whether B must equal A if B is an intermediate algebra of A, i.e., if ...

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This paper deals with a new approach to diagnosis by comparison. A new class of diagnosable systems is introduced: in these system, units and comparators used in the diagnostic process may fail. Failure of comparators introduces a new c...

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Potential curves have been calculated for the UF6-UF6 and UF6-rare gas atom interactions using statistical models for the UF6 charge density and the intermolecular interaction. Agreement with available experimental data is good. Let π...

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The vibrational spectra of different binary and ternary oxide phases containing tellurium are reported and discussed. The investigated systems include compounds structurally related to the spinels and to the perovakites and telluromolyb...

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