Báo cáo toán học: " On plethysm conjectures of Stanley and Foulkes: the 2 × n case" ppsx

... the conjecture is known to be true; see [6]. In Section 2 we present a proof of Stanley s conjecture for λ = 2 × n. The author would like to thank Prof. Richard Stanley for the inspiration and ... proving that K 2 × n has full rank is equivalent to proving that its rows are linearly independent. Suppose for contradiction that there is a nontrivial linear combinat...

Ngày tải lên: 07/08/2014, 08:22

... hat 23 4 = 9 · 26 = km =  x∈X deg(x) = 20 n 20 + 8n 8 + 4n 4 + 3n 3 + 2n 2 + n 1 = 20 n 20 + 8n 8 + 4n 4 + n 1 + 2n 2 + n 1 = 20 n 20 + 8n 8 + 4n 4 + 2( n 1 + n 2 ). (4 .25 ) Since n 1 + n 2 is even, ... to Conjec- ture 1.1; for definitions see [10]. Hence, we can view Conjecture 1.1 as a weakening of Stanton and Mullin’s conjecture. Anothe...

Ngày tải lên: 08/08/2014, 14:22

... multiplicative unit) using a constant number of row-operations. The primary obstacle to reducing the complexity of a single iteration of the reduction of [14] is the computation of greatest common divisors ... represent s −r in the form α 2 + β 2 , α 2 −β 2 , and −α 2 −β 2 for some units α , β ∈ Z × n ; and these we may characterize in terms of prod...

Ngày tải lên: 08/08/2014, 12:22

... S (n) , H (n) , I (n) , S c (n) , and N( n)denotethe Fourier transform of tr ansmitted OFDM/TDM signal, the channel gain, the inter-slot interference (ISI), the nonlinear distortion, and zero mean AWGN ... comparison between OFDM/TDM and conventional OFDM Parameters N c = 25 6, N m = N c /K PAPR level (dB) Conventional OFDM K =1 ,N m = 25 6 24 .08 OFDM/TDM K = 4 (16)...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:21

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Ngày tải lên: 05/08/2014, 15:21

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Ngày tải lên: 05/08/2014, 15:21

... Resonance and Bifurcation, Partial Differential Equations, Pitman Research Notes in Math., Series 27 3, 19 92. 6. M. Zuluaga, On a nonlinear elliptic system: resonance and bifurcation cases, Comment. ... Elliptic Equations on an Unbounded Domain Hoang Quoc Toan Fa culty of Math., Mech. and Inform. Vietnam National University, 334 Nguyen Trai, Hanoi, Vietnam Received Ma y 12, 20...

Ngày tải lên: 06/08/2014, 05:20

... output of an experiment of randomly and inde- pendently selecting elements of F q , the probability of choosing a particular one being 1 /2+ O(1/ √ q), the implied constant depending only on n. Anytwosuch experiments ... experiments is in the range 1/4+O(1/ √ q). The implied constants depend only on n. ThinkingatC(q, 2) only, we see that in fact we managed to construc...

Ngày tải lên: 07/08/2014, 06:20