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The movement of atoms in solids controls everything.“Everything” includes the materials our world functions with — batteries, corrosion, the processing of structural materials like steels, advanced st...
Mental abacus (MA) is a system for performing rapid and precise arithmetic by manipulating a mental representation of an abacus, a physical calculation device. Previous work has speculated that MA is...
We present an exact dynamic programming solution for a finite-horizon decentralized two-player Markov decision process, where player 1 only has access to its own states, while player 2 has access to b...
Suppose we wish to recover a signal x ∈ Cn from m intensity measurements of the form |hx, zii|2, i = 1, 2, . . . , m; that is, from data in which phase information is missing. We prove that if the vec...
Directly using the difference form of Frenet formula will cause the three basic vectors losing their orthogonal features rapidly. As the analytic form is exact for infinite short length region, for fi...
The ocean rogue wave, one of the mysteries of nature, has not yet been understood or modelled satisfactorily, in spite of being in the intense lime-light in recent years and the concept spreadin fast ...
We present general methods to exactly calculate mean-first passage quantities on self-similar networks defined recursively. In particular, we calculate the mean first-passage time and the splitting pr...
We revisit the problem of the plateau transition in the integer quantum Hall effect. Here we develop a novel analytical approach for this transition, and for other 2D disordered systems, based on the ...
Finding a low-interference connected topology is a fundamental problem in wireless sensor networks (WSNs). The problem of reducing interference through adjusting the nodes’ transmission radii in a con...
We present a numerically exact calculation of electromagnetic heat transfer between a dielectric sphere and plate. We compare the calculation to a recent experiment. Our calculations unify various app...
Exact doubly periodic standing wave patterns of the Davey--Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evo...
Solutions are presented for the problem of the motion of a dusty gas through Porous Media in an Open Rectangular Channel. It is assumed that the fluid and the dust particle clouds are static at the be...
For a prepared state exact expressions for the time dependent mean fidelity as well as for the mean inverse paricipation ratio are obtained analytically. The distribution function of fidelity in the l...
Purpose: of this paper is to compare the transients of characteristics obtained by the approximate method and exact one and to answer to the question – if the method can be used to nominate the charac...
In this paper, a line integral representation for the PO radiation integral from a flat perfectly conducting surface, illuminated by an arbitrary oriented elementary either electric or magnetic dipole...

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