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MULTIPLE SOLUTIONS FOR INEXTENSIBLE ARCHES [PDF]

Transactions of the Canadian Society for Mechanical Engineering, 1993
The multiple equilibrium solutions of both deep and shallow inextensible arches is investigated through the use of a segmental shooting technique. The original nonlinear boundary value problem governing the large deformations of these arches is solved using a sequence of linear initial value problems which converge iteratively to the required boundary
V. Tam, A.W. Lipsett, M. G. Faulkner
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The integrable KdV6 equations: Multiple soliton solutions and multiple singular soliton solutions

Applied Mathematics and Computation, 2008
Abstract In this work, the completely integrable sixth-order nonlinear equations KdV6 are studied. Three distinct cases of these equations are selected for a reliable treatment. Multiple soliton solutions and multiple singular soliton solutions are formally derived for these equations.
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Analytic solutions for multiple motions

Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205), 2002
A novel framework for single and multiple motion estimation is presented. It is based on a generalized structure tensor that contains blurred products of directional derivatives. The order of differentiation increases with the number of motions but more general linear filters can be used instead of derivatives.
Cicero Mota, L. Stuke, Erhardt Barth
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Multiple soliton solutions and multiple singular soliton solutions for two integrable systems

Physics Letters A, 2008
Abstract Two systems of two-component integrable equations are investigated. The Cole–Hopf transformation and the Hirota's bilinear method are applied for a reliable treatment of these two systems. Multiple-soliton solutions and multiple singular soliton solutions are obtained for each system.
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Multiplicity of the solutions of the flash equations

Chemical Engineering Science, 1998
The mass balance and phase equilibrium equations that describe the isothermal flash separation of a nonazeotropic system are investigated to determine the conditions under which multiple solutions are computed when a product mole fraction is specified.
Fernando Tiscareño, Rafael Chávez, Alejandro Gómez, Arturo Jiménez   +3 more
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Noise reduction: multiple solutions

IEE Colloquium on Signals, Systems and Chaos, 1997
It is an interesting property of chaotic systems that, given a knowledge of the underlying dynamics, even a series of quite crude or noisy observations is sufficient to allow the state-space trajectory of the system to be reconstructed to a very high level of accuracy-far higher accuracy than say a simple moving time-average.
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On the multiple solutions of the flash equations

Chemical Engineering Science, 2006
Abstract Input multiplicity is an important feature of industrial processes. In this paper, we extend the work by Tiscareno et al. [1998. Multiplicity of the solutions of the flash equations. Chemical Engineering Science 53, 671–677] to analyze multiple solutions of the flash equations when a product mole fraction of one component is specified and ...
Arturo Jiménez, Rosendo Monroy-Loperena, Miguel Vaca   +2 more
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On the Multiplicity of Solutions of Semilinear Equations

Mathematische Nachrichten, 2001
We study uniqueness and exact multiplicity of solutions of semilinear equations for both balls and annular domains. We assume the annular domains to be “thin ”, but allow them to be wider than in the previous works.
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Multiple Adsorption from Solutions

The Journal of Chemical Physics, 1945
The general theory of the adsorption of solutes from solutions which are treated by a process similar to that employed in chromatography is presented. By assuming a chemical equilibrium between adsorbed material and the solution, the adsorption equations can be solved explicitly.
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Multiple solutions of the semiconductor equations

1987
Semiconductor devices have become the basis of modern electronics and the mathematical modelling of such devices is an essential tool for their design. The carrier flow in semiconductors is modelled by a system of partial differential equations derived from Maxwell’s equations and the convection diffusion mechanism gouverning the charge transport.
Herbert Steinrück, Richard Weiss
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