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General Expression for Vibronic Coupling in Proton-Coupled Energy Transfer. [PDF]

J Chem Theory Comput
Cui K, Hammes-Schiffer S.
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SOME ANALYTIC CALCULATIONS OF THE CHARACTERISTIC EXPONENTS

International Journal of Bifurcation and Chaos, 2007
As is well known, the variational equations of nonlinear dynamic systems are linear time-varying (LTV) by nature. In the modal solutions for these LTV equations, the earlier introduced dynamic eigenvalues play a key role. They are closely related to the Lyapunov- and Floquet-exponents of the corresponding nonlinear systems.
Pieter van der Kloet, Fred L. Neerhoff, N. H. Waning   +2 more
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Analytical Expression of the Mirror Coefficient by Joint Analytical Calculation Method

IEEE Transactions on Industrial Informatics
Guo Wei, Lingjun Hao, Jiantao Zhang
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On the Calculation of Analytic Functions of Cyclic Matrices

Journal of Mathematical Physics, 1962
Recently Löwdin, Pauncz, and de Heer, have discussed the calculation of functions of cyclic matrices. They presented three exact methods for doing this. We show that the last of their methods can be generalized to a method which is convenient for approximate calculations and which in addition can be extended to the calculation of functions of higher ...
Abraham, Phillip B., Weiss, George
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Analytical calculation of permanent magnet couplings

IEEE Transactions on Magnetics, 1993
An analytical method adapted to calculating the forces between permanent magnets is developed, and applied to the torque calculation of synchronous couplings. The method is based on the forces exerted between two elementary barshaped magnets. The curvature effect is taken into account by a corrective coefficient, and the yokes by magnetic images.
J.P. YONNET, S. HEMMERLIN, E. RULLIERE, G. LEMARQUAND   +3 more
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Analytical SER Calculation of Spatial Modulation

2008 IEEE 10th International Symposium on Spread Spectrum Techniques and Applications, 2008
Spatial modulation (SM) is a multiple antenna trans- mission approach that exploits the location of the transmitting antenna for conveying data information. In SM, only a single transmit antenna transmits at a time while all other antennas remain silent.
Mesleh, Raed, Engelken, Sonke, Sinanovic, Sinan, Haas, Harald   +3 more
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On Calculating Analytic Centers

1989
Abstract : The analytic center of a polytope can be calculated in polynomial time by Newton's method. This note was motivated by papers of Renegar and Shub(88) and by Ye(89). We apply Smale's(86) estimates at one point for Newton's method to the problem of finding the analytic center of a polytope. The method converges globally in the appropriate norm.
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Analytical Calculation Methods

2010
Although numerical calculation methods for solving Laplace’s equation have developed remarkably in the past few decades, analytical methods still have significance in obtaining precise values and in easily evaluating parameter dependence, for example.
Tadasu Takuma, Boonchai Techaumnat
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