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An exact solution of the endolymph equation
Applied Mathematics and Computation, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elsayed M. E. Elbarbary +3 more
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2014
Publisher Summary A matrix is denoted by A. The i-th row of A is denoted by Ai, the i-th column by A.i, the column of the absolute terms (right sides) by A.f. To eliminate x1, one derives from Aa system B in which the first column vanishes. For this purpose, the first row is multiplied by the leading coefficient a21 of the second row and the second ...
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Publisher Summary A matrix is denoted by A. The i-th row of A is denoted by Ai, the i-th column by A.i, the column of the absolute terms (right sides) by A.f. To eliminate x1, one derives from Aa system B in which the first column vanishes. For this purpose, the first row is multiplied by the leading coefficient a21 of the second row and the second ...
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Exact Solutions and Applications
2017This chapter considers the construction of the few known and some new explicit solutions to the shape equation. For example, a review of the available experimental facts concerning nerve fibers suggests that their form can be adequately modelled by Delaunay unduloids. We present parameterizations of these surfaces in terms of the geometrical parameters
Ivaïlo M. Mladenov +1 more
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AIP Conference Proceedings, 2012
Inflationary universe model in the context of an exact intermediate solution is studied. General conditions required for these models to be realizable are discussed.
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Inflationary universe model in the context of an exact intermediate solution is studied. General conditions required for these models to be realizable are discussed.
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Exact solution of sandwich beams
Applied Mathematics and Mechanics, 1995Seriously non-uniform warping cross-sections due to shear effects sharply expose the essential difference between solid and sandwich beams. Actually, the deflected configuration and stress distributions in sandwich beams are far beyond the scope that the elementary bending theory is applicable for their description.
Zheng Shiying, Jin Yao
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On exact solutions of the Schrodinger equation
Journal of Physics A: Mathematical and General, 1985A new approach is used to show what kind of potentials we can use to obtain a series of exact solutions in closed forms of the Schrödinger equation for bound states. In particular, the well known Coulombic and oscillator solutions and others are reproduced as special cases.
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Class of Exact Magnetohydrodynamic Solutions
The Physics of Fluids, 1967Exact magnetohydrodynamic solutions for incompressible fluids, valid for all values of conductivity and viscosity, are found. These collinear magnetohydrodynamic fields have magnetic surfaces corresponding to stream surfaces.
Vivian O'Brien, Sheldon Weinbaum
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Exact Solutions for Lifting Surfaces
AIAA Journal, 1973Abstract : The obstacle which prevented the determination of exact lifting surface solutions was the singularity at the wing tip. This problem has now been solved analytically for the circular wing and thereby, to an extent, for wings with parabolic wing tips in general. The paper reports the analytical results. It describes how numerical solutions for
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2002
We first give a brief review of the basic observational facts (Olbers’ paradox, Hubble recession, microwave background radiation) and assumptions (cosmological principle) that lead to our present picture of the universe. We then formulate our assumptions in mathematical terms and deduce the basic geometric properties of any model satisfying the ...
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We first give a brief review of the basic observational facts (Olbers’ paradox, Hubble recession, microwave background radiation) and assumptions (cosmological principle) that lead to our present picture of the universe. We then formulate our assumptions in mathematical terms and deduce the basic geometric properties of any model satisfying the ...
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On exact solutions of the Schrodinger equation
Journal of Physics A: Mathematical and General, 1983In the one- and three-dimensional Schrodinger equation, a broad class of the regular potentials (rational functions of the rational powers of r) may admit exact bound-state solutions in the generalised harmonic-oscillator elementary form psi (r)=rsigma *polynomial*exp(-polynomial).
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