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DM
2006
80views more  DM 2006»
13 years 7 months ago
A class of combinatorial identities
A general theorem for providing a class of combinatorial identities where the sum is over all the partitions of a positive integer is proven. Five examples as the applications of ...
Yingpu Deng
EJC
2010
13 years 6 months ago
A proof of Bressoud's conjecture related to the Rogers-Ramanujan identities
The Rogers-Ramanujan Identities have many natural and significant generalizations. The generalization presented in this note was first studied by D. Bressoud, by considering the...
Shishuo Fu
TNN
2010
148views Management» more  TNN 2010»
13 years 2 months ago
Generalized low-rank approximations of matrices revisited
Compared to Singular Value Decomposition (SVD), Generalized Low Rank Approximations of Matrices (GLRAM) can consume less computation time, obtain higher compression ratio, and yiel...
Jun Liu, Songcan Chen, Zhi-Hua Zhou, Xiaoyang Tan
ICANN
2009
Springer
14 years 9 days ago
Learning from Examples to Generalize over Pose and Illumination
We present a neural system that recognizes faces under strong variations in pose and illumination. The generalization is learnt completely on the basis of examples of a subset of p...
Marco K. Müller, Rolf P. Würtz
JCT
2008
78views more  JCT 2008»
13 years 7 months ago
A partition bijection related to the Rogers-Selberg identities and Gordon's theorem
We provide a bijective map from the partitions enumerated by the series side of the Rogers-Selberg mod 7 identities onto partitions associated with a special case of Basil Gordon&...
Andrew V. Sills