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Trigonometric Solutions of the Integro-differential Equation
1985In this chapter we examine further the consequences† of the coupled and quasi-static approximation which leads to the integro-differential equation (2.1.3) for the temperature. We now abandon the boundary and initial value problem which was formulated in Theorem 2 and proceed to study a trigonometric solution of the integro-differential equation, that ...
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Closed Form Trigonometric Solution of Inhomogeneous Beam-Columns
2007In this study four cases of harmonically varying buckling modes are postulated and semi-inverse problems are solved that result in the distributions of the flexural rigidity compatible to the pre-selected modes and to specified axial load distributions. In all cases the closed-form solutions are obtained for the eigenvalue parameter. For comparison the
Ivo Caliò, Isaac Elishakoff
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Trigonometric Approximation of Solutions of Periodic Pseudodifferential Equations
1989Galerkin’s method with trigonometric polynomials as trial and test functions is used to construct approximate solutions of periodic singular integral equations and pseudo-differential equations. We present results on pointwise rates of convergence, showing amongst other things that if the solution is in (C τ , then the error is O(n −τ log n), where n ...
W. McLean, W. L. Wendland
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Functional equations with trigonometric function solutions
The first part of the thesis treats the problem of characterizing the trigonometric and hyperbolic sine-cosine functions. Our method arises from Kannappan's work of 2003 which solved the functional equation f(x - y) = f(x)f(y) + g(x)g(y) for functions whose domain is a group, whose range is a subset of the complex field and without any additional ...openaire +1 more source
Machine Learning in IoT Security: Current Solutions and Future Challenges
IEEE Communications Surveys and Tutorials, 2020Rasheed Hussain +2 more
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Electrolyte solutions design for lithium-sulfur batteries
Joule, 2021Ruqiang Zou, Quanquan Pang
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Solutions of a Trigonometric Equation
The American Mathematical Monthly, 1949openaire +1 more source
Models of polymer solutions in electrified jets and solution blowing
Reviews of Modern Physics, 2020Marco Lauricella +2 more
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Ion Dissociation in Ionic Liquids and Ionic Liquid Solutions
Chemical Reviews, 2020Joan F Brennecke
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Theory of polyelectrolytes in solutions and at surfaces
Progress in Polymer Science, 2005Andrey V Dobrynin
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