Báo cáo toán học: "Comultiplication rules for the double Schur functions and Cauchy identities" docx

Báo cáo sinh học: "Phylogenetic evidence for the distinction of Saaremaa and Dobrava hantaviruses" pot

... participated in the analysis of the results and drafted the manuscript. AV participated in the analysis of the results and helped to draft the manu-script. AP designed the study, participated in the analysis of ... set [22,23]. The test for molecular clock and esti-mation of the time of split of these two viruses was donewith TreePuzzle [21].Competing interests The author(s) declare that they have no ... sequences.0.1ELMCVSNVPUUVEastSlovakia856EastSlovakia862Kurkino44Kurkino53 Saaremaa1 60V Saaremaa9 0ESlovakia400SloveniaGou3L99Z37Sr11AH0984Fli76-118LR1TULV999997100100100999898986292HTNVSEOVDOBVSAAV BioMed CentralPage 1 of 6(page number not for citation purposes)Virology JournalOpen AccessResearchPhylogenetic evidence for the distinction of Saaremaa and Dobrava hantavirusesTarja...

báo cáo hóa học:"Phylogenetic evidence for the distinction of Saaremaa and Dobrava hantaviruses" pdf

... participated in the analysis of the results and drafted the manuscript. AV participated in the analysis of the results and helped to draft the manu-script. AP designed the study, participated in the analysis of ... AccessResearchPhylogenetic evidence for the distinction of Saaremaa and Dobrava hantavirusesTarja Sironen, Antti Vaheri and Alexander Plyusnin*Address: Department of Virology, Haartman Institute, ... set [22,23]. The test for molecular clock and esti-mation of the time of split of these two viruses was donewith TreePuzzle [21].Competing interests The author(s) declare that they have no...

Báo cáo toán học: " Some results for the q-Bernoulli, q-Euler numbers and polynomials" doc

... q-Bernoulli, q-Euler numbers, and polynomials.2. q-Bernoulli, q-Euler numbers and polynomials related to the Bosonic and the Fermionic p-adic integral on ℤpIn this section, we provide some basic formulas ... functions of the q-Bernoulli, q-Eule r numbers, and polynomials. We shall provide some basic formulas for the q-Bernoulli and q-Euler polynomials which will be used to prove the main results of ... information isavailable at the end of the articleAbstract The q-analogues of many well known formulas are derived by using sev eral results of q-Bernoulli, q-Euler numbers and polynomials. The...

Báo cáo toán học: "Spectral asymptotics for the "soft" selfadjoint extension of a symmetric elliptic differential operator " ppt

... class="bi x0 y1 w1 h 3" alt ="" ...

Báo cáo toán học: "Some Results on the Properties D3 (f ) and D4 (f )" ppsx

... ∈D4 (f) then the sequence splits.Proof. Since E ∈ D4 (f) andLf(α, ) ∈ D3 (f) (see Proposition 2.11 in [1 ]) then (E,Lf(α, )) ∈ S (see Proposition 2.9 in [1 ]). Then by Lemma 1.7 in [1]there ... ν( 2) = max((k, j),m( 2)) . Next we apply ( 4) to k =2,j = ν( 2) and chooseν( 3) = max((k, j),m( 3)) . Continuing this way and by putting ank= anν(k)we get the followingxi,n,k  an,k( 5) and 2an,kUk⊂ ... has D3 (f) property then (E,F) ∈ S.From now on, to be brief, whenever E has D3 (f) property (resp. D4 (f) ) we write E ∈ D3 (f) (resp.E ∈ D4 (f) ). 3. Some Auxiliary Results Proposition 3.1....

Báo cáo toán học: "Improved bounds for the number of forests and acyclic orientations in the square lattice" doc

... several counting problems on the square lattice Ln. There the authors gave the following bounds for the asymp-totics of f(n), the number of forests of Ln ,and (n), the number of acyclic orienta-tions ... y>0andzty =1. the electronic journal of combinatorics 10 (2003), #R4 15 Improved bounds for the number of forests and acyclic orientations in the square latticeN. CalkinDepartment of Mathematical ... (2.2) The Tutte polynomial contains much information on the graph G; we refer to [7] and the survey paper [3] for background information. In particular:ã T(G;2, 1) is the number f(G) of spanning forests...

Báo cáo toán học: "Conjectured Statistics for the Higher q, t-Catalan Sequences" potx

... of the higher q, t-Catalan sequences.In the rest of the paper, we present some conjectured combinatorial interpretations for the higher q, t-Catalan sequences. We prove some combinatorial formulas, ... proved for these trivariate sequences.1 IntroductionIn [7], Garsia and Haiman introduced a q, t-analogue of the Catalan numbers, which theycalled the q, t-Catalan sequence. In the same paper, they ... combinatorial q ,t-Catalan sequence byCn (q, t)=D∈Dnqarea(D)tbounce(D)(n =1, 2, 3, ).1.5 Equivalence of the q, t-Catalan Sequences The ﬁve q, t-Catalan sequences discussed in the preceding...

Báo cáo toán học: "Lower Bound for the Size of Maximal Nontraceable Graphs." pot

... in the next section, to prove that a MNT graph of order n ≥ 10 has at least3n−22edges. The ﬁrst one concerns the lower bound for the number of edges of MNH graphs. It is the combination of ... is not complete, then someinternal vertex of Q has a neighbour in G − V (Q). the electronic journal of combinatorics 12 (2005), #R32 2 Lower Bound for the Size of Maximal Nontraceable Graphs∗Marietjie ... k<nandthen, clearly, e(G) >3n−22 for n ≥ 8. Thus we assume that G is connected.We need to prove that the sum of the degrees of the vertices of G is at least 3n − 2.In view of Theorem...

Báo cáo toán học: "Lower bounds for the football pool problem for 7 and 8 matches" pdf

... with n = 7 and s = 27 and get8k5+ 15k6+ 22k 7 + 29i 8 ki≤ 58. (8) Multiplication with 3/22 and rounding oﬀ yields Lemma 3. the electronic journal of combinatorics 14 (20 07) , #R 27 4 5 ... we show k3 (7) ≥ 156 and k3 (8) ≥ 402 improvingon the best previously known bounds k3 (7) ≥ 153 and k3 (8) ≥ 3 98. The proofsare founded on a recent technique of the author for dealing with ... n = 7 and n = 8 (with k = 4 resp. k = 5). In the case n = 7 the bestpreviously known lower bound k3 (7) ≥ 153 is due to Habsieger [5]. We showTheorem 1. k3 (7) ≥ 156. For the case of 8 matches...

Báo cáo toán học: "Lower Bounds for the Size of Random Maximal H-Free Graphs" pdf

... keyingredient of our proof.Given the informal discussion above, the proof of Theorem 1.1 looks very roughly asfollows. At the ﬁrst part of the proof we consider the graph G(n, ρ) for a relatively ... claim holds for d − 1. We prove the claim for d. Let S = (G1, G2, . . . , Gd)be the sequence of the labels of the nodes ui, i ∈ [d], along the path P . Assume for the sake of contradiction ... to the evolving graph), Bohman expresses the expected change in the values of the random variables in the collection, using the same set of random variables. This allows one toexpress the random...

Báo cáo toán học: "Comultiplication rules for the double Schur functions and Cauchy identities" docx

... symmetric functions of[21]; cf. formula (3.7) in that paper. Moreover, under the specialization ai= −i + 1 for all i ∈ Z the double Schur functions become the shifted Schur functions of [22] in the variables ... of θ due to the hook formula. Under the specialization ai= i + 1, for any partition à we haveaà= (à1, à2 1, . . . ). The following formula for the values of the double Schur functions ... providingcomultiplication rules for the double Schur functions. We also prove multiparameteranalogues of the Cauchy identity. A new family of Schur type functions plays the role of a dual object in the identities....

Báo cáo toán học: "Crystal rules for (ℓ, 0)-JM partitions" pdf

... pair wouldalso form a non-vertical, non-horizontal ℓ-rim hook). Again, | hà(c,b)but hà(a,b), hà(c,d).Therefore à cannot be an (ℓ, 0)-JM partition, so λ is not an (ℓ, 0)-JM partition.Conversely, ... if λ is an (ℓ, 0)-JM partition, then Sλ= DRλ.2 Classifying (ℓ, 0)-JM partitions by their Removableℓ-Rim Hooks2.1 MotivationIn this section we give a new description of (ℓ, 0)-JM partitions. ... length for the box n1is 1.3 Decomposition of (ℓ, 0)-JM Partitions3.1 MotivationIn [3] we gave a decomposition of ℓ-partitions. In this section we give a similardecomposition for all (ℓ, 0)-JM...

Báo cáo toán học: "Lower Bounds for the Average Genus of a CF-graph" doc

... such a polygon do not change genus of such a surface.Operation 1: Aaa−∼ A, Operation 2: AabBab ∼ AcBc,Operation 3: AB ∼ {(Aa), (a −B)}, A A a a A B a bb a A Bcc A B A Bc cFigure 4: Operation ... attaching ears serially or by bar -amalgamation of a cactus to GN The authors of [5] discussed a Kuratowski type theorem for average genus of graphs.They obtained the struct ure of average genus ... to a subgraph of Gi+1 for all i  1. In [4] it was proved that the values of the average genus for 2-connected graphs have limit points. Note that the averag e genus for bar-amalgamation of a...

Báo cáo toán học: "A formula for the bivariate map asymptotics constants in terms of the univariate map asymptotics constants" pps

... ∞) the electronic journal of combinatorics 17 (2010), #R155 4 A formula for the bivariate map asymptotics constants in terms of the univariate map asymptotics constants Zhicheng Gao∗School of ... pg(r) in terms of pg.1 Introduction The concepts in this paragraph will be made precise in the following paragraphs. The parameters tgand pgarise in the univariate asymptotic enumeration of ... variety of mapson surfaces and the parameters tg(r) and pg(r) arise in the corresponding bivariate asymp-totics for maps as well as embeddable graphs. The original recursions for these parametersmake...

Báo cáo toán học: "Hybrid Proofs of the q-Binomial Theorem and other identities" ppsx

... theorem and other identities. The proofs are “hybrid” in the sense that we use partition arguments to prove a restrictedversion of the theorem, and then use analytic methods (in the form of the ... 2}, {15}, the electronic journal of combinatorics 18 (2011), #P60 15 Hybrid Proofs of the q-Binomial Theorem and other identitiesDennis EichhornDepartment of MathematicsUniversity of CaliforniaIrvine, ... fro m the Identity Theorem, by an argument similar to that usedin the proof of the q-Binomial Theorem. The n-th term in the series on the left side of (4.3) may be regarded as the generatingfunction...

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