Báo cáo toán học: "The Gr¨tzsch Theorem for the hypergraph of o maximal cliques"

Báo cáo toán học: "A Carleson measure theorem for the Bergman space on the ball " pps

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Báo cáo toán học: "A Beurling-Lax theorem for the Lie group U(m,n) which contains most classical interpolation theory " pot

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Báo cáo toán học: "The Gr¨tzsch Theorem for the hypergraph of o maximal cliques" pdf

... 2-choosable?By Theorem 2.5, H(G) (from the above problem) is 2-colorable. This the- orem relies on the 4-Color Theorem. So, it would be an interesting problemto ﬁnd a direct proof of Theorem ... proof of Lemma 2.3 (by possiblypermuting the colors) so that the corresponding strong 3-coloring of H(G)isan extension of c. This completes the proof. Theorem 2.6 The clique hypergraph of every ... skeptics of the proof of the 4-Color Theorem and since we do notwant to use this powerful theorem for our application if not necessary, westate a weaker result with an elementary proof:Lemma...

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Báo cáo toán học: " Remarks on uniform attractors for the 3D nonautonomous Navier-Stokes-Voight equations" pptx

... ajectory attractors for 3D non-autonomous incompressible Navier-Stokes system which is based on the works of Leray and Hopf. Using the weak convergence topology of the space H (see below for the ... to obtain the existence of the uniform attractor of the 3D non-autonomous NSV equations.Main difficulties we encountered are as follows:(1) how to obtain a contractive function,(2) how to ... easily. □4 Proof of Theorem 2.4Similarly to the proof of Theorem 2.3, we easily obtain that the set class {Uf(t, τ, uτ)} (τ≤ t) is a process in W for all τ ≤ t. Moreover, the mapping Uf(t,...

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Báo cáo toán học: " Vanishing heat conductivity limit for the 2D Cahn-Hilliard-Boussinesq system" docx

... notice below). For information about publishing your research in Boundary Value Problems go tohttp://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen ... and the H2-theory of the Stokessystem, we arrive atuL∞(0,T ;H2)≤ C.This completes the proof.Competing interests The authors declare that they have no competing interests.Authors’ ... 0.2 Proof of Theorem 1.1Since (1.9) follows easily from (1.8) by the Aubin-Lions compactness principle, we onlyneed to prove the a priori estimates (1.8). From now on, we will drop the subscript...

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Báo cáo toán học: "A Toeplitz-Hausdorff theorem for matrix ranges " pdf

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Báo cáo toán học: "A Radon-Nikodym theorem for positive linear functionals on *-algebras " pdf

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Báo cáo toán học: "A Fixed Point Theorem for Nonexpansive Mappings in Locally Convex Spaces" ppt

... min), so T has a fixed point and the setFixT of fixed points of T is convex and the theorem follows.Acknowledgements. The author would like to take this opp ortunity to thank Prof.Do Hong Tan for ... desired. The proof is complete.Now we state an analogous result to Theorem 1 for probabilistic normedspaces. Theorem 2. Let C be a nonempty weakly compact convex set having probabilisticuniformly ... probabilistic n ormedspace.1. IntroductionAfter the work [2] a lot of fixed point theorems for semigroups of mappings inBanach spaces were obtained. However, for such results in locally convex spacesup...

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Báo cáo toán học: " A Specht Module Analog for the Rook Monoid" pot

... general theory of representations of ﬁnite semigroups. The representa-tion theory of the rook monoid is particularly interesting because of its similarity to the representation theory of the symmetric ... a combinatorial construction of the irreducible representations of the rook monoid. Since the rook monoid contains the symmetric group, it isperhaps not surprising that the construction outlined ... representations of Rnthat is very similar to the Specht module construction of the irreducible representations of Sn. Our construction and notation closely follow the exposition in [4] on Specht modules.2...

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Báo cáo toán học: "A Sperner-Type Theorem for Set-Partition Systems" ppsx

... diﬀerent; ourresult extends Sperner’s Theorem from sets to set-partitions. A related extension of the Erd˝os-Ko-Rado Theorem to set partitions is found in [12].Bollob´as [2] gives a generalization of ... StatisticsUniversity of Ottawa, Ottawa, Ontario, Canadakmeagher@site.uottawa.caLucia MouraSchool of Information Technology and EngineeringUniversity of Ottawa, Ottawa, Ontario, Canadalucia@site.uottawa.caBrett ... Lubell. A short proof of Sperner’s lemma. J. Combinatorial Theory, 1:299, 1966.[12] K. Meagher and L. Moura. Erd˝os-Ko-Rado theorems for uniform set-partition sys-tems. Electron. J. Combin., 12(1):Research...

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