Results 11 to 20 of about 9,651 (149)

Vector partitions, multi-dimensional Faà di Bruno formulae and generating algorithms

Discrete Applied Mathematics, 2020
In the paper we introduce and study partitions of vectors in N p , as a natural extension of the classical partitions of integers. We show that these vector partitions are the suitable combinatorial notion in extending the Faa di Bruno formula to a ...
F. Turcu, C. Bonchis, M. Najim
semanticscholar   +3 more sources

Binary Bell polynomial manipulations on the integrability of a generalized (2+1) -dimensional Korteweg–de Vries equation

Journal of Mathematical Analysis and Applications, 2013
Yun-Hu Wang, Yong Chen
semanticscholar   +3 more sources

On generic and maximal k-ranks of binary forms [PDF]

, 2017
In what follows, we pose two general conjectures about decompositions of homogeneous polynomials as sums of powers. The first one (suggested by G. Ottaviani) deals with the generic k-rank of complex-valued forms of any degree divisible by k in any number
Lundqvist, Samuel, Oneto, Alessandro, Reznick, Bruce, Shapiro, Boris   +3 more
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On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension

, 2021
In this paper, we solve the problem of computing the inverse in Clifford algebras of arbitrary dimension. We present basis-free formulas of different types (explicit and recursive) for the determinant, other characteristic polynomial coefficients ...
Shirokov, D. S.
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Space-time autocoding [PDF]

, 2001
Prior treatments of space-time communications in Rayleigh flat fading generally assume that channel coding covers either one fading interval-in which case there is a nonzero “outage capacity”-or multiple fading intervals-in which case there is a nonzero ...
Hassibi, Babak, Hochwald, Bertrand M., Marzetta, Thomas L.   +2 more
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Gaussian Bounds for Noise Correlation of Functions [PDF]

, 2008
In this paper we derive tight bounds on the expected value of products of {\em low influence} functions defined on correlated probability spaces. The proofs are based on extending Fourier theory to an arbitrary number of correlated probability spaces, on
A. Bonami, A. Frieze, A. Rényi, A. Samorodnitsky, B. Efron, B. Green, C. Borell, C.E. Bell, Elchanan Mossel, G. Kalai, G. Kalai, H. Gebelein, J.W. Lindeberg, K. Oleszkiewicz, P. Wolff, R.G. Niemi, S. Khot, V.I. Rotar′, W. Beckner, W. Sheppard, Y. Rinott   +20 more
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The Novel Analytical–Numerical Method for Multi-Dimensional Multi-Term Time-Fractional Equations with General Boundary Conditions

Mathematics, 2023
This article presents a simple but effective two-step analytical–numerical algorithm for solving multi-dimensional multi-term time-fractional equations.
Ji Lin, S. Reutskiy, Yuhui Zhang, Yu Sun, Jun-an Lu   +4 more
semanticscholar   +1 more source

Wigner formula of rotation matrices and quantum walks [PDF]

, 2006
Quantization of a random-walk model is performed by giving a qudit (a multi-component wave function) to a walker at site and by introducing a quantum coin, which is a matrix representation of a unitary transformation.
A. Ambainis, A. Ambainis, A. Ambainis, A. D. Gottlieb, A. Messiah, E. P. Wigner, F. Reif, H. Georgi, Makoto Katori, N. G. van Kampen, N. Konno, N. Konno, N. Konno, N. Obata, Norio Konno, R. Motwani, Takahiro Miyazaki, V. M. Kendon   +17 more
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Nilpotent polynomials approach to four-qubit entanglement [PDF]

, 2006
We apply the general formalism of nilpotent polynomials [Mandilara et al, Phys. Rev. A 74, 022331 (2006)] to the problem of pure-state multipartite entanglement classification in four qubits.
Aikaterini Mandilara, Bennett C H, Briand E, Emary C, Leváy P, Leváy P, Lorenza Viola   +6 more
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Higher order moment models of dense stellar systems: Applications to the modeling of the stellar velocity distribution function

, 2010
Dense stellar systems such as globular clusters, galactic nuclei and nuclear star clusters are ideal loci to study stellar dynamics due to the very high densities reached, usually a million times higher than in the solar neighborhood; they are unique ...
Aarseth, Amaro-Seoane, Amaro-Seoane, Amaro-Seoane, Amaro-Seoane, Amaro-Seoane, Amaro-Seoane, Amaro-Seoane, Ardi, Begelman, Berentzen, Bettwieser, Bettwieser, Bettwieser, Bisnovatyi-Kogan, Boily, Boily, Chandrasekhar, Chernoff, Ciotti, Ciotti, Cohn, Cohn, Cohn, Downing, Drukier, Duncan, Einsel, Einsel, Ernst, Fiestas, Fiestas, Fiestas, Fregeau, Fregeau, Freitag, Freitag, Freitag, Gerhard, Giersz, Giersz, Giersz, Giersz, Giersz, Giersz, Giersz, Giersz, Giersz, Giersz, Giersz, Hachisu, Hara, Heggie, Heggie, Heggie, Hut, Hénon, Hénon, Hénon, Hénon, Inagaki, Ipser, Joshi, Joshi, Justus Schneider, Khalisi, Kim, Kim, Kim, Langbein, Larson, Louis, Louis, Lynden Bell, Makino, Marchant, Marchant, Mikkola, Mikkola, Miller, Pau Amaro-Seoane, Rainer Spurzem, Rosenbluth, Shapiro, Shapiro, Shin, Spitzer, Spitzer, Spitzer, Spitzer, Spitzer, Spitzer, Spitzer, Spitzer, Spurzem, Spurzem, Spurzem, Spurzem, Spurzem, Spurzem, Stodółkiewicz, Stodółkiewicz, Stodółkiewicz, Takahashi, Takahashi, Takahashi, van der Marel, Vilkoviski   +107 more
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