... USA, June 2008.c2008 Association for Computational Linguistics Can yousummarize this? Identifying correlates of input difficulty for generic multi-document summarizationAni NenkovaUniversity ... writers can find it hard towrite a good summary of a set of articles. If thereis no clear topic shared across the input articles, orif they follow the development of the same event intime for ... the same issue.Even systems that perform well on average pro-duce summaries of poor quality for some inputs. For this reason, understanding what aspects of the in-put make it difficult for summarization...
... thathardly anyone paid using another form of payment or did not know howthey paid.Although youcan probably create most of your pie charts using electronicmeans, youcan also create a pie chart using ... statistic12. You were working on a project to examine the value of the Americandollar as compared to the English pound. You accessed an Internet sitewhere you obtained this information for the past ... from the population or sample understudy, youcan define the parameters and statistics that your analysis willdetermine.ParameterCONCEPT A numerical measure that describes a variable (characteristic)of...
... medical equipment, and medical supplies for use at home. You must be homebound, which means leaving home is a major eort. You pay nothing for covered home health services. For Medicare-covered ... needed. When you make your appointment, let your doctor’s oce know that you would like to schedule your “Welcome to Medicare” preventive visit. You pay nothing for the “Welcome to Medicare” ... medical supplies for use at home. You must be homebound, which means leaving home is a major eort. ■ You pay nothing for covered home health care services. ■ You pay 20% of the Medicare-approved...
... bb−a/ln b−ln a,Ga, b√ab and Ha, b2ab/ab the arithmetic mean, identric mean, logarithmicmean, geometric mean and harmonic mean of two positive numbers a and b, respectively,thenmin{a, ... logarithmic means,” The American Mathematical Monthly,vol. 87, no. 7, pp. 545–548, 1980.2 C. E. M. Pearce and J. Peˇcari´c, “Some theorems of Jensen type for generalized logarithmic means,”Revue ... medium, provided the original work is properly cited. For p ∈R, the generalized logarithmic mean Lpa, b, arithmetic mean Aa, b and geometricmean Ga, b of two positive numbers a and b are...
... desired results. The algorithm terminates.4. Numerical ExperimentsIn this section, we will study the numerical performances of Algorithm 3.1. For this, supposethat the probability density functions ... For this, we are going to propose a hybridmethod for the solution of Problem 1.1. The basic idea is as follows. For the bi-criteria problem, we introduce a parameter of expectation level for ... η, it can be seen how theseparameters affect the optimal solution. The numerical results are reported in Table 1.From Table 1, it can be seen that the adjustment of μ, ρ,andη is helpful for t...
... bifunction F.Very recently, in 2010, Qin, et al. 12 introduced a iterative scheme method for findinga common element of EPF1,A,EPF2,B and common fixed point of infinite family ofnonexpansive ... vn.FromTheorem 3.1, we can conclude thedesired conclusion.AcknowledgmentThe authors would like to thank Professor Dr. Suthep Suantai for his suggestion in doing andimproving this paper.References1 ... PreliminariesIn this section, we collect and give some useful lemmas that will be used for our main resultin the next section.Let C be closed convex subset of a real Hilbert space H,andletPCbe the metricprojection...
... ty−xt,2.1exists for each x, y ∈ S,andX is said to have a uniformly Gateaux differentiable norm if for eachy ∈ S, the limit 2.1 converges uniformly for x ∈ S. Further, X is said to be uniformly smoothif ... fixedpoint formulation in 1.4 involves the projection PC, which may not be easy to compute, dueto the complexity of the convex set C. So, projection methods and their variant forms can beimplemented ... x∗,μγFx∗,3.10therefore, {xn− x∗} is bounded and so is {xn}.Step 3. The sequence {xn} is sequentially compact. To prove this, we assume that the setDxn contains some x∗such that Ttx∗ x∗for...
... givenerror metric for each angular interval delimited by the anglesθk−1and θk. Assuming that the input angle θ is uniformlydistributed, we can obtain a closed-form solution for thecoefficients ... μk can be implemented by asimple binary shifter.The combinatorial logic implementation of theamplitude-dependent update coefficient lacks flexibilitysince the update speed cannot be changed. This ... requirements, anadaptive predistorter [2, 10] must be used. This problem isfurther exacerbated by the high PAPR of the modern 3G/4Gmodulation waveforms. In this paper, an efficient least meansquares...
... waveform from (de)synchronizations on a sin-gle channel can be straightforwardly accomplished via aver-aging using correlations of known responses [4]. However, this method is not precise for ... diagonal matrix with elements in [0, 1]. This can be accomplished through simultaneous diagonalizationof the two covariance matrices. First, a whitening transfor-mation is performed:P(Σ1+ Σ2)PT= ... decomposition is thenperformed for the transformed classes:PΣ1PT= RDRT, PΣ2PT= R(I − D)RT,(5)where the columns of R are the eigenvectors, and the diagonalelements of D and (D−...
... Point Theory and ApplicationsVolume 2008, Article ID 471532, 7 pagesdoi:10.1155/2008/471532Research Article Approximation Methods for Common Fixed Pointsof Mean Nonexpansive Mapping in Banach ... 2007; Accepted 2 January 2008Recommended by Tomonari SuzukiLet X be a u niformly convex Banach space, and let S, T be a pair of mean nonexpansive mappings.In this paper, it is proved that the ... Tx1,x3 Sx2 , for any x0∈ K, convergesstrongly to u.It is our purpose in this paper to consider an iterative scheme, which converges to acommon fixed point of the pair of mean nonexpansive...
... G(u,COM)ksessionSend commitmentFigure 3: Single-point fuzzy key management.witnesses. For these reasons, we will henceforth refer to this scheme as single-point fuzzy commitment.Figure 3 summarizes the ... secure channels for efficientlydistributing the derived biometrics, security can be feasi-bly implemented for BSN [1, 2]. For instance, a key distri-bution scheme based on fuzzy commitment is appropriate[1, ... appropriate biometrics for a BSN, there is of course a wide range of sensors and devicesthat do not have access to the body’s cardiovascular networks.Therefore, methods that allow for some form of...
... time,so they seem to be extremely well suited for the problemsstudied in this paper. Indeed, the numerical experimentspresented here definitely confirm this conjecture. This paper is organized as ... α-modulationframes according to Theorem 2 to our multichannel data.As we have mentioned in this section, we expect that theseframes provide a mixture of Gabor and wavelet frames: for small α, the frames ... frames and thereforesuitable for texture detection (e.g., the detection oscilla-tory/swinging components), whereas for α close to one, theframes are similar to wavelet frames and therefore...
... is assumed to beCaratheodory, by this we mean the following:i for almost every t ∈ I, the function ft, ·, · is continuous;ii for each x, y ∈ R × R, the function f·,x,y is measurable ... sub-super-solutionmethod for px-Laplacian equations and systems are rare. In this paper, when pr isa general function, we establish several sub-super-solution theorems for the existence ofsolutions for ... CorporationJournal of Inequalities and ApplicationsVolume 2008, Article ID 621621, 19 pagesdoi:10.1155/2008/621621Research Article The Method of Subsuper Solutions for Weightedpr-Laplacian Equation Boundary...
... Point Theory and ApplicationsVolume 2008, Article ID 471532, 7 pagesdoi:10.1155/2008/471532Research Article Approximation Methods for Common Fixed Pointsof Mean Nonexpansive Mapping in Banach ... Tx1,x3 Sx2 , for any x0∈ K, convergesstrongly to u.It is our purpose in this paper to consider an iterative scheme, which converges to acommon fixed point of the pair of mean nonexpansive ... 2007; Accepted 2 January 2008Recommended by Tomonari SuzukiLet X be a u niformly convex Banach space, and let S, T be a pair of mean nonexpansive mappings.In this paper, it is proved that the...