Báo cáo toán học: "On growth rates of permutations, set partitions, ordered graphs and other objects" doc

... norm on R d . In recent years, there has been an increasing interest in the study of the asymptotic behavior of the solutions of both convolution and non-convolution-type linear and nonlinear Volterra ... aim in this section is to obtain sufficient condition for the boundedness of the solution of (1.1) under the initial condition (1.2), but in the linea...

Ngày tải lên: 20/06/2014, 20:20

... 2011:193 http://jwcn.eurasipjournals.com/content/2011/1/193 Page 3 of 10 RESEARCH Open Access On transmission performance of OFDM-based schemes using MMSE-FDE in a frequency- selective fading channel Haris Gacanin 1* and ... Channel capacity of OFDM/TDM using MMSE-FDE From here on, we analyze capacity of the OFDM/TDM using MMSE-FDE based on the assumpti...

Ngày tải lên: 20/06/2014, 21:20

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... in the case when m is prime. Whether a permutation of n admits an m-th root can be read on the partition of n determined by the lengths of the permutation’s cycles, because the class of such the ... is the exponential generating function (EGF, formal series) of the m-thpowersinthegroups n . This means that the number of m-thpowersin n is p n (m)ìn!foreachn....

Ngày tải lên: 07/08/2014, 06:23

... theorem of [7] is that, when Π consists of layered permutations, there is a layered permutation σ that maximises ν(Π,σ). We give the proof of this theorem in section 2 and give a condition on Π ... multiset of permutations all of which are layered on top. Then among the Π-maximal permutations of each length there will be one that is layered on top. Furthermore if the final la...

Ngày tải lên: 07/08/2014, 06:23

... c 3 m c 4 . This finishes the proof of case B2, of claim B, and of the whole theorem. ✷ Every growth rate n → F n,k is attained by a closed class of permutations (take, for example, the permutations π whose ... 05A05 Abstract A class of permutations Π is called closed if π ⊂ σ ∈ Π implies π ∈ Π, where the relation ⊂ is the natural containment of permutations. Let Π n be the...

Ngày tải lên: 07/08/2014, 07:21

... (A(K)), and h. The object ensured by it must be equal to K and thus K  L. ✷ the electronic journal of combinatorics 15 (2008), #R75 5 On growth rates of permutations, set partitions, ordered graphs ... case of one-element set we write x < B instead of {x} < B. For a set X and k ∈ N we write  X k  for the set of all k-element subsets of X. Acknow...

Ngày tải lên: 07/08/2014, 21:20