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Higher-order terms in mode conversion

Physics of Plasmas, 1998
The development of model equations to describe mode conversion and tunneling in an inhomogeneous plasma usually uses expansions of the Modified Bessel functions in the parameter λ=12k⊥2ρL2, keeping only the lowest possible order to demonstrate tunneling.
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On a higher order fuzzy difference equation with a quadratic term

Journal of Applied Mathematics and Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibtissem Redjam   +2 more
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Higher order hyperfine terms in the spin Hamiltonian

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1978
Abstract The higher order hyperfine terms in the spin Hamiltonian are evaluated for the general case where the hyperfine interaction raises from the electron orbital angular momentum and the electron spin dipolar-nuclear spin angular momentum interactions of a d-electron associated dominantly with one nucleus coupling with another ...
R. M. Golding, L. C. Stubbs
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Remainder terms in a higher order Sobolev inequality

Archiv der Mathematik, 2010
A remainder term for a higher-order Sobolev embedding is obtained in this paper. More precisely, if \(\Omega\) is a bounded domain in \(\mathbb{R}^N\) with \(\mathbb{C}^m\) boundary (\(m>1\) is an integer), then there exists a constant \(c(\Omega, m)> 0\) such that \(\| u\|^2- S|u|^2_{2^*}\geq C|u|_w\) for any \(u\) in the space \(\{u\in H^m\Omega\mid ...
GAZZOLA, FILIPPO, T. Weth
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Long-term attraction in higher order neural networks

IEEE Transactions on Neural Networks, 1998
Recent results on the memory storage capacity of higher order neural networks indicate a significant improvement compared to the limited capacity of the Hopfield model. However, such results have so far been obtained under the restriction that only a single iteration is allowed to converge.
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Significant term extraction by Higher Order SVD

2009 7th International Symposium on Applied Machine Intelligence and Informatics, 2009
In this paper, we present a novel method for term importance, called Tensor Term Indexing (TTI). This extracts significant terms from a document as well as a coherent collection of document set. The basic idea of this approach is to represent the whole document collection in a Term-Sentence-Document tensor and employs higher-order singular value ...
Sukanya Manna, Zoltan Petres, Tom Gedeon
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Higher Order Terms in the Lamb Shift Calculation

Physical Review Letters, 1960
Following previously described techniques, the atomic energy level displacements of order alpha (Z alpha )/sup 6/ ln/sup 2/ (Z alpha )mc/sup 2/ have been calculated and yield a result in agreement with that of Layzer. An addition is introduced which corresponds to a change of gauge of the virtual photon defining one-photon Lamb shift and serves to ...
H. M. Fried, D. R. Yennie
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Higher order terms in the saddle point approximation

Proceedings of the IEEE, 1967
An integral of the type which commonly occurs in radiation theory is evaluated by the method of steepest descent to optain a well-known asymptotic expansion. The coefficients of the first three terms of this expansion are given in terms of functions and derivatives of functions which appear in the integrand; the coefficient of the third term does not ...
R.H. Schafer, R.G. Kouyoumjian
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The impact of the zero order term in the study of Dirichlet problems with convection or drift terms

Revista Matematica Complutense, 2022
Lucio Boccardo, Boccardo Lucio
exaly  

Influence of Higher-Order Terms

2003
Akira Hasegawa, Masayuki Matsumoto
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