... constant-factor approximationguarantee does not apply in this case.When scoring a summary at the sub-sentencelevel, submodularity naturally arises. Concept-basedsummarization (Filatova and Hatzivassiloglou, ... 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 ... summarizationcan be viewed as a problem ofsubmodular functionmaximization. We also in this section show that manystandard methods for summarization are, in fact, al-ready performing submodular function...
... 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 aclassof ... (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...
... Key Audiences Communication tactics may include traditional channels, such as media (television, radio, newspapers and magazines) and Web sites, as well as non-media channels, such as grassroots ... media for a pre-season look at the team Don't underestimate the importance and potential impact of non-media channels. Word -of- mouth can be considerably important in generating enthusiasm ... local papers ã Deskside visits - you or the coach visit local media to create connection and dialogue, and generate coverage ã Local radio and/or local TV media tours - offer to go on air and...
... Albarreal, M.C. Calzada, J.L. Cruz, E. Fern´andez-Cara, M. Mari´n, Stability and Convergence ofa ParallelFractional Step Method for the Solution of Linear Parabolic Problems, Applied Mathematics ... Journal of Science, Mathematics - Physics 23 (2007) 201-209Fully parallel methods for aclassof linear partialdifferential-algebraic equationsVu Tien Dung∗Department of Mathematics, Mechanics, ... differential-algebraic equation (PDAE),nonnegative pencil of matrices, parallel method1. IntroductionRecently there has been a growing interest in the analysis and numerical solution of PDAEsbecause...
... abelian∗-subalgebra Aofa finite von Neumann factor M is called semiregular if N (A) generates a factor, equivalently, if N (A) ∩ M = C. Also, while maximalabelian ∗-subalgebras A with N (A) = ... Hrelative to its von Neumann subalgebra B ⊂ N, then B is quasiregular in N.If in addition N is a type II1factor M and B = A is maximal abelian in M ,then A is a Cartan subalgebra of M.Proof. ... is always a 2-cocycle, ∀R), there exists a type II1fac-tor with a Cartan subalgebra (A ⊂ M ) associated with it, via a group-measure space construction “ `a la” Murray-von Neumann. The association(A...
... 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 aclassof ... 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...
... 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 aclassof 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,...
... purposes)mixture containing 5 mM ATP, CTP, UTP, and GTP (Phar-macia-Pfizer, Mississauga, Ontario, Canada), 0.7 àl of T7polymerase (Ambion), and nuclease-free water to a finalvolume of 25 àl. The reactions ... Johnson KL,Garcia-Sastre A, Ball LA, Palese P, Ding SW: Interferon antagonistproteins of influenza and vaccinia viruses are suppressors of RNA silencing. Proc Natl Acad Sci U S A 2004, 101(5):1350-1355.5. ... Melcher2, Amanda Howard1 and Jeanmarie Verchot-Lubicz*1Address: 1Department of Entomology and Plant Pathology, Oklahoma State University, Stillwater, OK 74078, USA and 2Department of Biochemistry...
... the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Lyapunov-type inequalities for aclassof even-order differential equationsJournal ... 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 ... theoretical proof and drafted the manuscript. XH participated in thedesign and coordination. Both of the two authors read and approved the final manuscript.References[1] Liapunov, AM: Probl`eme...
... canonical form of regular matrixpolynomials. Linear Algebra Appl. 385, 117–130 (2004)doi:10.1186/1687-1847-2011-51Cite this article as: Dassios: On a boundary value problem ofaclassof generalized ... springeropen.comDassios Advances in Difference Equations 2011, 2011:51http://www.advancesindifferenceequations.com/content/2011/1/51Page 9 of 9 RESEARCH Open AccessOn a boundary value problem ofaclass of generalized ... (1980)5. Gantmacher, FR: The Theory of Matrices, Volume I and II. Chelsea (1959)6. Datta, BN: Numerical Linear Algebra and Applications. Cole Publishing Company (1995)7. Dassios, IK: Solutions of...
... University of SouthChina, Hengyang, Hunan 421001,People’s Republic of ChinaFull list of author information isavailable at the end of the articleAbstractIn this paper, we consider the rule of trajectory ... RESEARCH Open AccessOn aclassof second-order nonlinear differenceequationLi Dongsheng1*, Zou Shuliang1and Liao Maoxin2* Correspondence: lds1010@sina.com1School of Economics andManagement, ... thisequation, and the positive equilibrium point 1 of this equation is proved to beglobally asymptotically stable.Mathematics Subject Classification (2000)3 9A1 0Keywords: rational difference equation,...