Results 21 to 30 of about 361,212 (290)
q-Analogue of a binomial coefficient congruence
We establish a q-analogue of the congruence (papb)≡(ab) (modp2) where p is a prime and a and b are positive integers.
W. Edwin Clark
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The Evaluation of DCNN on Vector-SIMD DSP
In current computer vision tasks, deep convolutional neural networks (DCNN) achieve state-of-the-art results. At present, the DCNN has been widely used in many usage scenarios.
Chao Yang +3 more
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Bijective Proofs of Partition Identities of MacMahon, Andrews, and Subbarao [PDF]
We revisit a classic partition theorem due to MacMahon that relates partitions with all parts repeated at least once and partitions with parts congruent to $2,3,4,6 \pmod{6}$, together with a generalization by Andrews and two others by Subbarao.
Shishuo Fu, James Sellers
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The partition of Kosovo and Metohija: Reality or delusion? [PDF]
Although the topic of dividing Kosovo and Metohija into the Serbian and Albanian part was mostly avoided by officials, both national and international, it has been discussed in public since the 1960s, mostly owing to Dobrica Ćosić.
Proroković Dušan
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This note reports on the number of s-partitions of a natural number n. In an s-partition each cell has the form $2^k-1$ for some integer k. Such partitions have potential applications in cryptography, specifically in distributed computations of the form $a^n$ mod m. The main contribution of this paper is a correction to the upper bound on the number of
William M. Y. Goh +2 more
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Debating partition : justifications and critiques [PDF]
Revised version of portion of a paper presented at final conference of the Mapping frontiers, plotting pathways: routes to North-South cooperation in a divided island programme, City Hotel, Armagh, 19-20 January 2006Political partitions—fresh political
O'Leary, Brendan
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Generating trees for partitions and permutations with no k-nestings [PDF]
We describe a generating tree approach to the enumeration and exhaustive generation of k-nonnesting set partitions and permutations. Unlike previous work in the literature using the connections of these objects to Young tableaux and restricted lattice ...
Sophie Burrill +3 more
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Subverting the Nation-State Through Post-Partition Nostalgia: Joginder Paul’s Sleepwalkers
With the advent of the Progressive Writers Movement, Urdu Literature was marked with a heightened form of social realism during the Partition of British India in 1947.
Amrita Ghosh
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Partition Statistics for Cubic Partition Pairs [PDF]
In this brief note, we give two partition statistics which explain the following partition congruences: \begin{align*} b(5n+4) &\equiv 0 \pmod{5}, \\ b(7n+a) &\equiv 0 \pmod{7}, \text{if $a=2$, $3$, $4$, or $6$}. \end{align*} Here, $b(n)$ is the number of $4$-color partitions of $n$ with colors $r$, $y$, $o$, and $b$ subject to the ...
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Probabilistic Partitive Partitioning (PPP)
Clustering is a NP-hard problem. Thus, no optimal algorithm exists, heuristics are applied to cluster the data. Heuristics can be very resource-intensive, if not applied properly. For substantially large data sets computational efficiencies can be achieved by reducing the input space if a minimal loss of information can be achieved.
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