Báo cáo toán học: "Pattern avoidance in permutations: linear and cyclic orders" pdf
Báo cáo toán học: " Code choice in the Chinese as a foreign language classroom" pot
... teaching Chinese as a foreign language: A case study of native Chinese teachers in Beijing. In Language alternation, language choice and language encounter in international education, eds. Hartmut ... words: Chinese as a foreign language; English as a lingua franca; Sinophone identity; code choice; multilingual classroom Background While Chinese has been taught and studied as a first language ... codes for teaching and communicating with international Chinese language learners remains an under-researched area. To investigate Chinese language teachers’ language beliefs toward code choice...
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Báo cáo toán học: " Modeling formalisms in Systems Biology" ppt
... integratedframework for modeling, analyzing and simulating biological processes, and review several modeling formalisms that have been used in Systems Biology including Boolean networks, Bayesian ... used for modeling dynamical systems in several areas. Systems of non-linear ordinary differential equations (ODEs)have been used in SB to describe the variation of the amount of species in the ... 2007) incorporate boolean rules into constraint-based models for integrated simu-lation of regulatory and metabolic networks. Integrated FBA (iFBA) extends rFBA by integrating kineticinformation...
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Báo cáo toán học: "Weak compactness in Banach lattices " doc
... alt ="" ...
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Báo cáo toán học: "Nuclear operators in nest algebra " pptx
... class="bi x0 y0 w3 h 5" alt ="" ...
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Báo cáo toán học: "Lattice walks in Zd and permutations with no long ascending subsequences" ppt
... parity-reversing.It follows that in the signed sum of walks in W all terms corresponding to walks in Ncancel, leaving only the walks that correspond to permutations of {1, 2, ,n/2} with no ascending ... correspondence with lattice walks. Interestingly, however, byproviding a combinatorial proof of this correspondence, in section 3 below, we will be givingan independent and purely combinatorial ... the set of walks of length n from U(e)toanyU(σ), with all positive steps before all negative steps, and letN be the set of walks in W that do not lie entirely within R. Note that walks in W − Nmust...
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Báo cáo toán học: " Exchange Symmetries in Motzkin Path and Bargraph models of Copolymer Adsorption" ppsx
... factorisation of Motzkin paths.2.1 Motzkin Paths with Vertex-visits Motzkin paths may be factored recursively in terms of shorter Motzkin paths. In particu-lar, every adsorbing Motzkin path is either ... model of an adsorbing polymer can be defined by letting the path be attractedto an adsorbing line. In models of Motzkin paths, the adsorbing line will be the maindiagonal of the lattice, and it ... would be Motzkin paths [9], which is amodel of (fully) directed paths on a triangular lattice, and confined to step only abovethe main diagonal. In both models of bargraphs and Motzkin paths,...
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Báo cáo toán học: "Pattern avoidance in permutations: linear and cyclic orders" pdf
... σθ∈ θ, and by construction in both permutations there is an increasing chain starting at position 1, while the remainingvalues form a decreasing chain; in σθ, however, the increasing chain is ... domain and codomain in this case, taking order-equivalentfunctions corresponds to “wrapping around” independently both in the domain and in the codomain (not necessarily by the same “shift”), and ... of combinatorics 10 (2003), #R18 39 chain,andifτ is ρ|X| and 1 ∈ σ(X), then σ(X)isadecreasing chain.IfinsteadX isan occurrence of (τ), then σ(X)isacyclic increasing (decreasing) chain. Also,...
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Báo cáo toán học: "Pattern avoidance classes and subpermutations" pdf
... Otago, New Zealandmike@cs.otago.ac.nzM. M. Murphy and N. RuˇskucSchool of Mathematics and StatisticsUniversity of St Andrews, Scotland, KY16 9SSnik@mcs.st -and. ac.uk and max@mcs.st -and. ac.ukSubmitted: ... Permutations, Antichains, Atomic Classes and StackSorting”, Ph.D. Thesis, University of St Andrews, St Andrews, Scotland, UK (2002).[8] N. Ray, J. West: Posets of matrices and permutations with forbidden ... pattern -avoidance classes can be expressed as unionsof atomic classes (those that have no non-trivial expression as a union). We shall showthat these atomic classes are precisely the classes...
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Báo cáo toán học: "A New Statistic on Linear and Circular r-Mino Arrangements" potx
... are based on the fact that F(r)n(q, t)andL(r)n(q, t) are, respec-tively, bivariate generating functions for a pair of statistics on linear and circular r-mino arrangements.2Linearr-Mino ... Classifications: 11B39, 05A15AbstractWe introduce a new statistic on linear and circular r-mino arrangements whichleads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas ... F1=1,etc.,andL1=1,L2=3,etc.).Polynomial generalizations of Fn and/ or Lnhave arisen as generating functions forstatistics on binary words [1], lattice paths [4], and linear and circular...
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Báo cáo toán học: "Pattern avoidance in partial permutations" ppsx
... [22], obtained in the contextof pattern-avoiding ordered matchings.Let us begin by giving a description of 312-avoiding and 231-avoiding partial transver-sals. We first introduce some terminology. ... Jℓ-avoiding filling. It is clear that this construction can be inverted,thus giving the required biject io n between Iℓ-avoiding and Jℓ-avoiding transversal partial fillings of D.Combining Propo ... Thelength of a partial word is the number of its symbols, including the holes.The study of partial words was initiated by Berstel and Boasson [6]. Partial wordsappear in comparing genes [25];...
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Báo cáo toán học: "Unimodal rays in the regular and generalized Pascal pyramid" ppt
... mapreturns the regular binomial coefficients in the Pascal triangle. We obtain the regular Pascal pyramid if r = 3. For the cases r ≥ 4 we will refer as generalized Pascal pyramids. The main purp ... k1+ ···+ km= n. In order to prepare the proof of Theorem 5, let introduce the notation of rays in generalized Pascal pyramids. As usual, a lattice ray in the domain Dpof the functionp is ... r−̺ times. In the sequel, we consider the regular Pascal pyramid, where r = 3. Let n ∈ N befixed, and n = k1+ k2+ k3. In this case we will determine a sort of ray’s peak and the electronic...
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Báo cáo toán học: "Subgraph densities in signed graphons and the local Simonovits–Sidorenko conjecture" doc
... journal of combinatorics 18 (2011), #P127 15 Subgraph densities in signed graphons and the local Simonovits–Sidorenko conjectureL´aszl´o Lov´asz∗Institute of Mathematics, Eăotvăos Lorand UniversityBudapest, ... ode in S has neighbors in at mosttwo of the Hi. Let Fidenote the graph consisting of Hi, its neigh bors in S, and the edgesbetween Hi and S. Let us label the nodes of S in every Fi. ThenF2≤mi=1[[F2i]].Proof. ... delete all branches but the deepest from the root. Let a denote the lengthof the path P in T from the root r to the first branching point or leaf v.If P ends a t a leaf, then the whole tree is a...
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Báo cáo toán học: "Long path lemma concerning connectivity and independence number" pdf
... other standard notation comesfrom [1].the electronic journal of combinatorics 18 (2011), #P149 2 Long path lemma concerning connectivity and independence numberShinya Fujita∗Alexander Halperin†Colton ... theorem and, following the proofs presented in [4], we prove thefollowing lemma which is o ur main result. Lemma 1 Let k ≥ 1 be an integer and let G be a g raph of order n with κ(G) = k and α(G) ... vertex-disjoint paths from P to B. Choose the shortest such set ofpaths, meaning that each path contains exactly one vertex of B and one vertex of P . Thismeans that there must exist a pair of these paths,...
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