customizing a class with virtual functions

... summarization evaluation Automatic evaluation of summary quality is important for the research of document summarization as it avoids the labor-intensive and potentially inconsistent human evaluation ... approaches (Filatova and Hatzivassiloglou, 2004; Takamura and Okumura, 2009; Riedhammer et al., 2010) instead define “concepts” Alter- natively, we herein propose a class of monotone submodular ... summarization (2005–2007) As ROUGE (Lin, 2004) has been officially adopted for DUC evaluations since 2004, we also take it as our main evaluation criterion We evaluated our approaches on DUC data...

Ngày tải lên: 23/03/2014, 16:20

... 17 Takahashi, W: Nonlinear Functional Analysis-Fixed Point Theory and Its Applications Yokohama Publishers (2000) 18 Xu, HK: Inequalities in Banach spaces with applications Nonlinear Anal (TMA) ... and motivated by Ceng et al [2], Takahashi and Zembayashi [14], Takahashi and Zembayashi [9], the main aim of this paper is to introduce and investigate a new iterative method for finding a solution ... et al Fixed Point Theory and Applications 2011, 2011:91 http://www.fixedpointtheoryandapplications.com/content/2011/1/91 Page of 11 and Takahashi [10] and Takahashi et al [13], Takahashi and...

Ngày tải lên: 20/06/2014, 21:20

... Engineering, Academic Press, New York, NY, USA, 1979 19 S.-H Wu, “Generalization and sharpness of the power means inequality and their applications,” Journal of Mathematical Analysis and Applications, ... Stepolhkepniak, “An effective characterization of Schur-convex functions with applications,” Journal of Convex Analysis, vol 14, no 1, pp 103–108, 2007 J S Aujla and F C Silva, “Weak majorization inequalities ... inequalities and convex functions, ” Linear Algebra and Its Applications, vol 369, pp 217–233, 2003 K Guan, “The Hamy symmetric function and its generalization,” Mathematical Inequalities & Applications,...

Ngày tải lên: 22/06/2014, 02:20

... investigated intensively in recent years by many authors, see [6], [14], [24] We also recall the Cegrell classes of m-subharmonic functions Fm (Ω ) and Em (Ω ) Local property of a class of m-subharmonic ... Cegrell classes of plurisubharmonic functions (see [10] and [11]), as well as, the class of m-subharmonic functions introduced by Błocki in [6] and the classes Em0 (Ω ) and Fm (Ω ) introduced and ... energy classes Fm (Ω ) and Em (Ω ) introduced and investigated in [13] b) In the case m = n the class Fn,χ (Ω ) coincides with the class of plurisubharmonic functions with weak singularities...

Ngày tải lên: 12/10/2015, 10:37

... the class HT of factors M having HT Cartan subalgebras A ⊂ M , i.e., maximal abelian ∗ -subalgebras A ⊂ M such that M has the property H relative to A and A contains a subalgebra A0 ⊂ A with A0 ... always a 2-cocycle, ∀R), there exists a type II1 factor with a Cartan subalgebra (A ⊂ M ) associated with it, via a groupmeasure space construction “` la” Murray-von Neumann The association a (A ... of a finite von Neumann factor M is called semiregular if N (A) generates a factor, equivalently, if N (A) ∩ M = C Also, while maximal abelian ∗-subalgebras A with N (A) = M were called regular...

Ngày tải lên: 06/03/2014, 08:21

... liposarcoma) in nuclear factorkappa B p65-mediated transcription as a coactivator J Biol Chem 276, 13395–13401 Takada, N., Sanda, T., Okamoto, H., Yang, J.P., Asamitsu, K., Sarol, L., Kimura, G., Uranishi, ... T Smale, D Wallach, L A Madge, J S Pober, T Nakajima, and T Taniguchi for their generosity in providing the plasmids and RHA-antibody and Ms Angelita Sarile for language edition We also thank ... There is accumulating evidence indicating that RNA helicase A (RHA) acts as a transcriptional coactivator RHA was found to interact with the CREB-binding protein (CBP) [27] and BRCA1 [28], and to...

Ngày tải lên: 30/03/2014, 15:20

... equality defining a circle Aa1 for a fixed a1 = a1 (x0, y0) ≤ a- a’ is defined below together with available point-dependent lower and upperbounds: De la Sen and Agarwal Fixed Point Theory and Applications ... 0 a (1 − α1 ) > − α1 and ® A ∪ A with >a ≥ 0, β1 = a0 a ≥ a1 ≥ a − A1 ∪ A2 a β1 = > It is noted that the condition (3.1) is not guarana0 − α1 teed to be contractive for any point of A1 It is also ... Harjani, J, Lopez, B, Sadarangani, K: A fixed point theorem for mappings satisfying a contractive condition of rational type of partially ordered metric space Abstr Appl Anal 2010, (2010) (Article...

Ngày tải lên: 20/06/2014, 22:20

... 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 by a class ... this article as: Tahamtani and Peyravi: Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions Boundary Value Problems 2011 2011:19 Submit your manuscript ... semilinear elliptic and parabolic equations Demonstratio Mathematica 31, 43–54 (1998) Flavin, JN: On Knowles’version of Saint-Venant’s principle in two-dimensional elastostatics Arch Ration Mech Anal...

Ngày tải lên: 21/06/2014, 00:20

... Bohner and A Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨ user, Boston, Mass, a USA, 2003 33 V Lakshmikantham and A S Vatsala, “Hybrid systems on time scales,” Journal of Computational ... Mathematical Analysis and Applications, vol 319, no 1, pp 315–325, 2006 35 R Agarwal, M Bohner, and A Peterson, “Inequalities on time scales: a survey,” Mathematical Inequalities & Applications, ... Computational and Applied Mathematics, vol 141, no 1-2, pp 227–235, 2002 34 E R Kaufmann and Y N Raffoul, “Periodic solutions for a neutral nonlinear dynamical equation on a time scale,” Journal of Mathematical...

Ngày tải lên: 21/06/2014, 07:20

... Series in Mathematics, American Mathematical Society, Washington, DC, USA, 1986 23 A Ambrosetti and P H Rabinowitz, “Dual variational methods in critical point theory and applications,” Journal of ... remark that it follows Lemma 2.4 that M a, b Ω M a, b Ω ∪ M− Ω a, b 3.1 for all λ ∈ 0, Λ0 Furthermore, by Lemma 2.5 it follows that M a, b Ω and M− Ω are a, b nonempty, and by Lemma 2.1 we may ... that J a, b t0 uλ < J a, b tuλ By Lemma 2.5, J a, b t0 uλ < J a, b tuλ ≤ J a, b t− uλ J a, b uλ , 3.19 J a, b |uλ | and |uλ | ∈ M a, b Ω , by Lemma 2.2 we which is a contradiction Since J a, b uλ may assume...

Ngày tải lên: 21/06/2014, 11:20

... Normal University References S Lu, “New results on the existence of periodic solutions to a p-Laplacian differential equation with a deviating argument,” Journal of Mathematical Analysis and Applications, ... & Applications, vol 68, no 6, pp 1453–1461, 2008 B Liu, “Periodic solutions for Li´ nard type p-Laplacian equation with a deviating argument,” Journal e of Computational and Applied Mathematics, ... 2 Advances in Difference Equations It is obvious that under these two conditions, ϕ is an homeomorphism from R onto R and is increasing on R Recall that p-Laplacian equations have been of great...

Ngày tải lên: 21/06/2014, 18:20

... for Rational Mechanics and Analysis, vol 31, no 4, pp 283–328, 1986 A Ambrosetti, V Felli, and A Malchiodi, “Ground states of nonlinear Schrodinger equations with ¨ potentials vanishing at infinity,” ... “Nonlinear homogeneous eigenvalue problem in RN : nonstandard variational approach,” Commentationes Mathematicae Universitatis Carolinae, vol 38, no 3, pp 421–431, 1997 12 G Rozenblum and M Solomyak, ... Communications in Contemporary Mathematics, vol 3, no 4, pp 549–569, 2001 A Ambrosetti and Z Q Wang, “Nonlinear Schrodinger equations with vanishing and decaying ¨ potentials,” Differential and Integral...

Ngày tải lên: 21/06/2014, 20:20

... eigenvalue is repeated according to its multiplicity If A commutes with B, that is, AB BA, then A B is a diagonalization matrix and μ1 λ1 ≤ μ2 λ2 ≤ · · · ≤ μn λn are the eigenvalues of A B Proof ... this paper to achieve their research References S A Tersian, A minimax theorem and applications to nonresonance problems for semilinear equations,” Nonlinear Analysis: Theory, Methods & Applications, ... 1199–1214, 2005 H Wenhua, “Minimax theorems and applications to the existence and uniqueness of solutions of some differential equations,” Journal of Mathematical Analysis and Applications, vol 322,...

Ngày tải lên: 21/06/2014, 20:20

... general class of variational inclusions,” Journal of Mathematical Analysis and Applications, vol 201, no 2, pp 609–630, 1996 C Baiocchi and A Capelo, Variational and Quasivariational Inequalities: Applications ... Siddiqi and Q H Ansari, “Strongly nonlinear quasivariational inequalities,” Journal of Mathematical Analysis and Applications, vol 149, no 2, pp 444–450, 1990 22 A H Siddiqi and Q H Ansari, “General ... nonlinear variational inequalities,” Journal of Mathematical Analysis and Applications, vol 166, no 2, pp 386–392, 1992 23 L U Uko, “Strongly nonlinear generalized equations,” Journal of Mathematical...

Ngày tải lên: 21/06/2014, 22:20

... critical growth range,” Calculus of Variations and Partial Differential Equations, vol 3, no 2, pp 139–153, 1995 Y Shen, Y Yao, and Z Chen, “On a class of nonlinear elliptic problem with critical ... systems,” Bulletin of the Australian Mathematical Society, vol 50, no 3, pp 501–519, 1994 D G de Figueiredo, “Nonlinear elliptic systems,” Anais da Academia Brasileira de Ciˆ ncias, vol 72, no 4, e ... asymptotic to a constant function, Cao 10 obtained the existence of a nontrivial solution As the potential V x and the nonlinearity f x, t are asymptotically periodic at infinity, Alves et al 11 proved...

Ngày tải lên: 21/06/2014, 22:20

... secrecy capacity for a special class of parallel multireceiver wiretap channels was studied in [8] In this class of parallel multireceiver wiretap channels [8], each subchannel exhibits a certain ... third surface can be achieved with vanishingly small error probability As of now, we showed that all rates in the so-called capacity region are achievable with vanishingly small error probability, ... secrecy capacity region Parallel Degraded Multireceiver Wiretap Channels We consider a special class of parallel degraded multireceiver wiretap channels with two subchannels, two users, and one eavesdropper...

Ngày tải lên: 21/06/2014, 22:20

... Inequalities & c c c Applications, vol 8, no 1, pp 28–51, 2005 11 B Yang, “On the norm of a Hilbert’s type linear operator and applications,” Journal of Mathematical Analysis and Applications, vol 325, ... Journal of Inequalities in Pure and Applied Mathematics, vol 6, no 3, article 81, pp 1–15, 2005 10 M Krni´ and J Peˇ ari´ , “General Hilbert’s and Hardy’s inequalities,” Mathematical Inequalities ... the real space as lφ : {a {an }∞ ; a n q p xq 1−λ/s −1 , and ψ 1−p x ∞ p 1/p < p,φ : { n φ n |an | } ∞}, and then we may also define the spaces lψ and lψ 1−p {am }∞ m Lemma 2.3 As the assumption...

Ngày tải lên: 22/06/2014, 02:20

... 139–164, 1978 J L Kaplan and J A Yorke, “Ordinary differential equations which yield periodic solutions of differential delay equations,” Journal of Mathematical Analysis and Applications, vol 48, ... Differential Equations, vol 189, no 2, pp 396–411, 2003 R D Nussbaum, A Hopf global bifurcation theorem for retarded functional differential equations,” Transactions of the American Mathematical Society, ... Methods & Applications, vol 31, no 1-2, pp 45–54, 1998 10 J Llibre and A. -A Tarta, “Periodic solutions of delay equations with three delays via bi-Hamiltonian ¸ systems,” Nonlinear Analysis: Theory,...

Ngày tải lên: 22/06/2014, 02:20

... maximum at x b Hence, π2 max − x∈ a, b f x −f a x a f x − f b −f a b a f b eb a − b a is a 2.13 Lemma 2.7 For < b − a < 2, eb a − ≥ 2− b a b a 2.14 Proof Note that, for < b − a < 2, 2.14 is equivalent ... Theorem 1.2 Also, by Corollary 2.2, − f x − f a / x − a f x is a nondecreasing function of x, and achieves its maximum at x b: π2 max − x∈ a, b f x −f a x a f x − f b −f a b a f b b /a k − b a 2.19 ... Proschan, and Y L Tong, Convex Functions, Partial Orderings, and Statistical Applications, c c vol 187 of Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1992 J.-B Hiriart-Urruty...

Ngày tải lên: 22/06/2014, 03:20

... and applications to PDE’s,” to appear in Proceedings of the American Mathematical Society Alessia Elisabetta Kogoj: Dipartimento di Matematica, Universit` di Bologna, a Piazza di Porta San Donato ... Bologna, Italy Email address: kogoj@dm.unibo.it Ermanno Lanconelli: Dipartimento di Matematica, Universit` di Bologna, a Piazza di Porta San Donato 5, 40126 Bologna, Italy Email address: lanconel@dm.unibo.it ... theorems for a class of hypoelliptic ultraparabolic equations,” in Geometric Analysis of PDE and Several Complex Variables, vol 368 of Contemporary Math., pp 305–312, American Mathematical Society,...

Ngày tải lên: 22/06/2014, 19:20