Results 31 to 40 of about 1,039,370 (289)

Fractional Liouville and BBGKI Equations

, 2006
We consider the fractional generalizations of Liouville equation. The normalization condition, phase volume, and average values are generalized for fractional case.The interpretation of fractional analog of phase space as a space with fractal dimension ...
Bogoliubov N N, Bogolybow N, Born M, Christensen R M, Collins J C, Forster D, Gurov K P, Isihara A, Kornfeld I P, Mandelbrot B, Petrina D Ya, Resibois P, Samko S G, Samko S G, Schroeder M, Tarasov V E, Tarasov V E, Tarasov V E, Tarasov V E, Vasily E Tarasov, Zaslavsky G M, Zaslavsky G M   +21 more
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Fractionation statistics [PDF]

BMC Bioinformatics, 2011
Abstract Background Paralog reduction, the loss of duplicate genes after whole genome duplication (WGD) is a pervasive process. Whether this loss proceeds gene by gene or through deletion of multi-gene DNA segments is controversial, as is the question of fractionation bias, namely whether one homeologous chromosome is
Zheng Chunfang, Wang Baoyong, Sankoff David   +2 more
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Transport Equations from Liouville Equations for Fractional Systems

, 2005
We consider dynamical systems that are described by fractional power of coordinates and momenta. The fractional powers can be considered as a convenient way to describe systems in the fractional dimension space. For the usual space the fractional systems
Bogoliubov N. N., Bogolybow N., Chapman S., Enskog D., Gorenflo R., Gurov K. P., Oldham K. B., Samko S. G., Tarasov V. E., Tarasov V. E., Tarasov V. E., VASILY E. TARASOV, Ya. Petrina D., Zaslavsky G. M.   +13 more
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Fractional Systems and Fractional Bogoliubov Hierarchy Equations

, 2005
We consider the fractional generalizations of the phase volume, volume element and Poisson brackets. These generalizations lead us to the fractional analog of the phase space.
A. A. Vlasov, A. Isihara, B. A. Dubrovin, B. Mandelbrot, D. Ya. Petrina, I. P. Kornfeld, J. C. Collins, K. P. Gurov, M. Schroeder, N. Bogolybow, N. N. Bogoliubov, N. N. Bogoliubov, N. N. Bogoliubov, P. Debye, S. G. Samko, T. F. Nonnenmacher, V. E. Tarasov, V. E. Tarasov, V. E. Tarasov, Vasily E. Tarasov   +19 more
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Fractional Planks [PDF]

Discrete & Computational Geometry, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aharoni, Ron, Holzman, Ron, Krivelevich, Michael, Meshulam, Roy   +3 more
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Variable Doppler Starting Point Keystone Transform for Radar Maneuvering Target Detection

Remote Sensing
The Doppler band compensated by the keystone transform (KT) is limited. Therefore, it needs to be used in conjunction with the Doppler ambiguity compensation function to correct the range migration (RM) caused by maneuvering targets with Doppler ...
Wei Jia, Yuan Feng, Xingshuai Qiao, Tianrun Wang, Tao Shan   +4 more
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A note on fractional linear pure birth and pure death processes in epidemic models [PDF]

, 2011
In this note we highlight the role of fractional linear birth and linear death processes recently studied in \citet{sakhno} and \citet{pol}, in relation to epidemic models with empirical power law distribution of the events.
Dattoli, Debnath, Diethelm, Federico Polito, Helmstetter, Helmstetter, Mainardi, Ogata, Orsingher, Orsingher, Podlubny, Roberto Garra, Saichev, Sornette, West   +14 more
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Fractionalize this [PDF]

Nature Physics, 2010
Invited Perspective for Nat ...
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Fractional correlation [PDF]

Applied Optics, 1995
Recently, optical interpretations of the fractional-Fourier-transform operator have been introduced. On the basis of this operator the fractional correlation operator is defined in two different ways that are both consistent with the definition of conventional correlation. Fractional correlation is not always a shift-invariant operation.
Mendlovic, D., Ozaktas, H. M., Lohmann, A. W.   +2 more
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Mathematical Analysis of Discrete Fractional Prey-Predator Model with Fear Effect and Square Root Functional Response

Cumhuriyet Science Journal, 2022
This paper investigates the dynamics of a discrete fractional prey-predator system. The prey-predator interaction is modelled using the square root functional response, which appropriately models systems in which the prey exhibits a strong herd structure,
Prasun Kumar Santra
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