a class of submodular functions for document summarization
Báo cáo khoa học: "A Class of Submodular Functions for Document Summarization" pot
... 1.3.3 Automatic summarization evaluationAutomatic evaluation of summary quality is impor-tant for the research of document summarization asit avoids the labor-intensive and potentially inconsis-tent ... summarization can be viewed as a problem of submodular functionmaximization. We also in this section show that manystandard methods for summarization are, in fact, al-ready performing submodular function ... constant-factor approximationguarantee does not apply in this case.When scoring a summary at the sub-sentencelevel, submodularity naturally arises. Concept-based summarization (Filatova and Hatzivassiloglou,...
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Báo cáo toán học: " New proofs of Schur-concavity for a class of symmetric functions" potx
... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.New proofs of Schur-concavity for a class of ... (sftguchun@buu.edu.cn)ISSN 1029-242XArticle type ResearchSubmission date 24 May 2011Acceptance date 17 January 2012Publication date 17 January 2012Article URL http://www.journalofinequalitiesandapplications.com/content/2012/1/12This ... your research in Journal of Inequalities and Applications go tohttp://www.journalofinequalitiesandapplications.com/authors/instructions/ For information about other SpringerOpen publications go...
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Tài liệu Báo cáo " Fully parallel methods for a class of linear partial differential-algebraic equations " pptx
... Albarreal, M.C. Calzada, J.L. Cruz, E. Fern´andez-Cara, M. Mari´n, Stability and Convergence of a ParallelFractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... Journal of Science, Mathematics - Physics 23 (2007) 201-209Fully parallel methods for a class of linear partialdifferential-algebraic equationsVu Tien Dung∗Department of Mathematics, Mechanics, ... parallel methods for solving linear partial differential-algebraic equations (PDAEs) of the form:Aut+ B∆u = f(x, t) (1)where A is a singular, symmetric and nonnegative matrix, while B is a...
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Báo cáo sinh học: "Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type" potx
... USA *Corresponding author: manuel.delasen@ehu.es Email address: RPA: Agarwal@tamuk.edu Abstract This article discusses three weak φ-contractive conditions of rational type for a class of ... via Lemma 2.1 as follows for the case when A and B do not intersect, in general: Theorem 3.1. Assume that BABAT∪→∪: is a modified weak φ-contraction, that is, a cyclic self-map satisfying ... self-mappings under three general weak contractive conditions of rational type Manuel De la Sen*1 and Ravi P Agarwal2 1Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais...
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Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
... equationsHuantao Zhu1and Weibing Wang∗21Hunan College of Information, Changsha, Hunan 410200, P.R. China2Department of Mathematics, Hunan University of Science and Technology,Xiangtan, ... Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Periodic solutions for a class of higher ... study was supported by the NNSF of China (10871063) and ScientificResearch Fund of Hunan Provincial Education Department (10B017).References[1] Agarwal, RP: Difference Equations and Inequalities,...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
... the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Lyapunov-type inequalities for a class of even-order differential equationsJournal ... Lyapunov-typ e inequalities for certain higher order differentialequations. J. Math. Anal. Appl. 195 , 527–536 (1995)[9] Tang, XH, Zhang, M: Lyapunov inequalities and stability for linear Hamiltonian ... ResearchSubmission date 19 October 2011Acceptance date 12 January 2012Publication date 12 January 2012Article URL http://www.journalofinequalitiesandapplications.com/content/2012/1/5This peer-reviewed article...
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Báo cáo hóa học: " Existence results for a class of nonlocal problems involving p-Laplacian" pot
... Boundary Value Problems. Chapman andhall/CRC Press, Boca Raton (2005)10. Gasiński, L, Papageorgiou, NS: Nontrivial solutions for a class of resonant p-Laplacian Neumann problems. NonlinearAnal. ... ut(x,0)=u1(x).P-Kirchhoff problem began to attract the attention of several researchers mainly afterthe work of Lions [1], where a funct ional analysis approach was proposed to attack it.The reader may consult ... (1986)doi:10.1186/1687-2770-2011-32Cite this article as: Yang and Zhang: Existence results for a class of nonlocal problems involving p-Laplacian.Boundary Value Problems 2011 2011:32.Yang and Zhang Boundary Value Problems...
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Báo cáo hóa học: " Multiple positive solutions for a class of quasilinear elliptic equations involving concave-convex nonlinearities and Hardy terms" ppt
... Math Anal Appl. 352,99–111 (2009). doi:10.1016/j.jmaa.2008.06.02116. Kang, D: Solution of the quasilinear elliptic problem with a critical Sobolev-Hardy exponent and a Hardy term. J MathAnal ... 2011:37http://www.boundaryvalueproblems.com/content/2011/1/37Page 11 of 15 11. Wang, L, Wei, Q, Kang, D: Multiple positive solutions for p-Laplace elliptic equations involving concave-convexnonlinearities and a Hardytype term. Nonlinear Anal. 74, ... sign-changing weight functions. Abstr Appl Anal 2009, 24 (2009). Article ID 652109)20. Kang, D, Huang, Y, Liu, S: Asymptotic estimates on the extremal functions of a quasilinear elliptic problem....
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Báo cáo hóa học: " Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition" pdf
... Investigacion yDesarrollo de Procesos, Universidaddel Pais Vasco, Campus of Leioa(Bizkaia), Aptdo. 644-Bilbao, 48080-Bilbao, SpainFull list of author information isavailable at the end of the articleAbstractThis ... theorem for mappings satisfying a contractive condition of rationaltype of partially ordered metric space. Abstr Appl Anal 2010, 8 (2010). (Article Number 190701)2. Harjani, J, Sadarangani, K: Fixed ... identical to (3.30) except in the order of its elements. □An example is given belowExample 3.6: Take p = 2 and subsets A 1≡ C (a, 0 ,a- a0) and A 2≡ C( -a, 0 ,a- a0)ofR2are circles of centre in (a, ...
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Báo cáo hóa học: " A class of small deviation theorems for the random fields on an m rooted Cayley tree" docx
... tree (a particular case of tree-indexed Markov chains field and PPG-invariantrandom field). Yang [9] has studied the strong law of large numbers for frequency of occurrence of state and Shannon-McMillan ... existence of en tropy rate for some stationary random fields on a homogeneoustree. Pemantle [5] proved a mixing prop erty and a weak law of large numbers for a PPG-invariant and ergodic random field ... Correspondence:shizhiyan1984@126.com1Faculty of Science, JiangsuUniversity, Zhenjiang 212013, ChinaFull list of author information isavailable at the end of the articleAbstractIn this paper, we are to establish...
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Báo cáo hóa học: "Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation" docx
... difference equations can be considered as the discrete analog of classical Volterra-Fredholm type integral equations, which arise in the theory of parabolic boundary value problems , the mathematical modeling ... 2011:30http://www.advancesindifferenceequations.com/content/2011/1/30Page 16 of 16 RESEARCH Open AccessQualitative and quantitative analysis for solutionsto a class of Volterra-Fredholm type ... and their applications. J Comupt Appl Math. 202,339–351 (2007). doi:10.1016/j.cam.2006.02.03612. Pang, PYH, Agarwal, RP: On an integral inequality and discrete analogue. J Math Anal Appl. 194,...
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báo cáo hóa học: " Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions" doc
... estimates for a class of hyperbolicequations with nonlinear dissipative boundaryconditionsFaramarz Tahamtani*and Amir Peyravi* Correspondence:tahamtani@shirazu.ac.irDepartment of Mathematics,College ... Nouria, S: Polynomial and analytic boundary feedback stabilization of square plate. Bol Soc Parana Math. 27(2):23–43(2009)19. Ammari, K, Tucsnak, M: Stabilization of second order evolution equations ... this article as: Tahamtani and Peyravi: Spatial estimates for a class of hyperbolic equations with nonlineardissipative boundary conditions. Boundary Value Problems 2011 2011:19.Submit your manuscript...
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