... quantita-tive version is established (in the sense that one bounds explicitly the number of exceptional subspaces).We now turn to the proof of Theorem 5. Keep the notation and theassumptions of this theorem. ... morphism of constant length, we get, on the one hand, that|Un||Vn|≤|W1|1+|W2|≤ r − 1and, on the other hand, that σn(u) is a prefix of Vn of length at least 1/rtimes the length of ... every element of Q(β) ∩(0, 1) has an eventually periodic β-expansion.5. Proofs of Theorems 1 to 4We begin by a short proof of Theorem 2.Proof of Theorem 2. Let a =(ak)k≥1be a non-eventually...
... of dis-continuities. Many types of discontinuous con-stituents exist in text independently of any trans-lation. Simard et al. (2005) give examples suchas English verb-particle constructions, ... links from each of these words toNULL. Second, if n words on one side of the bi-text aligned to m words on the other side withm > n then we added NULL links for each of the words on the side ... data4http://nlp.cs.nyu.edu/GenPar980Proceedings of the 21st International Conference on Computational Linguistics and 44th Annual Meeting of the ACL, pages 977–984,Sydney, July 2006.c2006 Association for Computational LinguisticsEmpirical...
... 13810 Decision trees 14310.1 Algorithms using decision trees 14310.2 The notion of decision trees 14610.3 Nondeterministic decision trees 14710.4 Lower bounds on the depth of decision trees ... tapes. Thus, we assigned a configuration of T to each configuration of the computation of S.142 Algorithmic decidability2.1 IntroductionIn this chapter, we study the question: which problems can ... function. An online Turing machine contains, besidesthe usual tapes, two extra tapes. The input tape is readable only in one direction, the outputtape is writeable only in one direction. An online...
... detection of process deviations and prompt modification of reactionconditions are key to achieving the best control of chemicalreactions. However, this demands techniques that are suitedfor real -time, ... addition of acrylonitrile (shown inFig. 2) demonstrate the wealth of valuable informationprovided about ongoing chemical reactions by EESI-MS. Atthe beginning of the reaction, the protonated ... JohnWiley & Sons, Ltd.Obtaining comprehensive information on chemical reactionsis crucial for the characterization of reaction mechanisms aswell as the maximization of production efficiency...
... allowing uncontrolled growth atthe nonequilibrium Tf. This leads to the detection of anonzero TH value at time zero (0 h of annealing).The height and curvature of the convex ice front aredefined ... valuereflects the fraction of ice-bound AFPs on the flat iceplane. Indeed, TH increases in proportion with thetotal concentration of nfeAFP8, as can be seen inFig. 3A. The fraction of AFPs on the flat ice ... time- dependent amplification of TH explains the detection of a higher TH value at the slower cooling rate, it maybe concluded that the timeof annealing is an essentialinfluence on the TH value of nfeAFP8.For...
... e3) = 0.Extensions The subsumption of Petri nets is notinnocuous, as it allows to derive lower bounds on the computational complexityof MLIGs. Amongseveral extensions of Petri net with ... Computational Complexity We study in this section the complexityof sev-eral decision problems on MLIGs, prominently of emptiness and membership problems, in thegeneral (Section 4.2), k-bounded (Section ... the control wordp1p2· · · ppis a permutation of a member of W∗and the dominance relations of W hold in the as-sociated derivation tree. The language L(G) of an UVG-dl G is the set of...
... multi-stage process of cancer progression explains its long latent period. Exposure to strong radiation may initiate the process by inducing mutations to create an oncogene. One oncogene alone is unable ... patterns of cancer incidences vary greatly across countries. Natives of Japan had high rates of stomach but low rates of colon cancer. Natives of Hawaii had high rates of colon but low rates of stomach ... alleviation of harsh conditions lengthened life expectancy, first of the aristocracy then of the general population. A subtle and complex disease, it was difficult to diagnose. Identification of...
... Bohner, M, Peterson, A: Advances in Dynamic Equations onTime Scales. Birkhauser,Boston (2003)23. Bohner, M, Peterson, A: Dynamic Equations onTime Scales. An Introduction withApplications. Birkhauser, ... seen as a generalization of thatin ordinary differential equations.Recently, the existence and multiplicity of positive solutions for nonlinear differentialequations ontime scales have been ... positive solutions; cone; multi-point; boundary value problem; time scale.1 IntroductionThe study of dynamic equations ontime scales goes back to its founder Hilger [1], and is anew area of still...
... Then, the conditionf ∈ R(g, I)is equiva-lent to each one of the following items:(i) f is a monotonic function on I;(ii) f is a continuous function on I;(iii) f is regulated on I;(iv) ... problems ontime scales. Nonlinear Anal. 44, 527–535 (2001).doi:10.1016/S0362-546X(99)00290-45. Anderson, D, Avery, R, Henderson, J: Existence of solutions for a one dimensional p-Laplacian on time- scales. ... Δ?Δ?-integral conditions,resonance, time scales1 IntroductionHilger [1] introduced the notion oftime scales in order to unify the theory of continu-ous and discrete calculus. The field of dynamical...
... boundedness of solutions of certa in delay dynamic equations ontime scales.Feng et al. Journal of Inequalities and Applications 2011, 2011:29http://www.journalofinequalitiesandapplications.com/content/2011/1/29Page ... new bounds for so lutions of certain dynamic equations ontime scales will bederived in the following examples.Example 1: Consider the delay dynamic integral equation ontime scalesup(t )=C ... University, Qufu, Shandong, 273165, China2School of Science,Shandong University of Technology, Zibo, Shandong, 255049, ChinaAuthors’ contributionsQF carried out the main part of this article....
... Advances in Dynamic Equations onTime Scales,Birkh¨auser, Boston, Mass,USA, 2003.5 M. Bohner and S. H. Saker, “Oscillation of second order nonlinear dynamic equations ontime scales,”The Rocky ... research activity concerning the oscillation andnonoscillation of solutions of various equations ontime scales, and we refer the reader to5–18.Recently, Erbe et al. 19–21 considered the asymptotic ... 2010.19 L. Erbe, A. Peterson, and S. H. Saker, “Asymptotic behavior of solutions of a third-order nonlineardynamic equation ontime scales,” Journal of Computational and Applied Mathematics,...
... improvementsbecause of the complicated structure of every time scale.2. Nonlinear Implicit Dynamic Equations onTime Scales2.1. Some Basic Notations of the Theory of the Analysis onTime ScalesA time scale ... generalization of 1.1 and 1.2.The organization of this paper is as follows. In Section 2, we present shortly somebasic notions of the analysis ontime scales and give the solvability of Cauchy ... ⊂ S,whereS is the domain of uniform exponential stability of . On the exponential stable domain of a time scale, wecan refer to 10, 18, 19. By the definition of exponential stability, it implies...
... solutions to nonmonotone evolutionequations with discontinuous nonlinearities,” Nonlinear Analysis, vol. 43, pp. 233–251, 2001.17 Y. Chen, J. J. Nieto, and D. O’Regan, “Anti-periodic solutions ... “Anti-periodic solutions to nonmonotone evolutionequations with discontinuous nonlinearities,” Nonlinear Analysis, vol. 43, pp. 233–251, 2001.28 J. Y. Shao, “Anti-periodic solutions for shunting ... theexistence of the anti-periodic solutions of system 1.1.InSection 4, we give the criteria of global exponential stability of the anti-periodic solutions of system 1.1.InSection 5,anexample...