... FOS Fourth -Order Statistics xiii FMCW Frequency Modulated Continuous Wave HAF Higher- order Ambiguity Function HIM Higher- order Instantaneous Moment HO Higher- Order HOS Higher- OrderStatistics ... devised and it is extended to mixed -order- statistics- based algorithm Simulation results are demonstrated and compared to an existing fourth -order (FO) algorithm and an existing second -order (SO) ... PRELIMINARIES 26 domain (see [10]) 2.1.6 Higher- order Ambiguity Function (HAF) The higher- order variant of AF is called higher- order ambiguity function (HAF) [16, 17], and its discrete-time implementation...
... be open and assume that Denition Let we say that equals up to order if partial derivatives of orders up to agree at the origin If order , we denote that by For equals and all up to $ ... more general higherorder ODEs 3.1 Example Earlier, we indicated that the presented method can also be used for the direct integration of higherorder problems To illustrate this, and to show ... all terms of of orders up to (and including) and by a bound of the range of over the domain box Then, the antiderivation of Taylor models is given by the following denition (Berz and Makino, 1998;...
... enhanced mobility, and improved system performance It has applications in wireless local area networks (WLANs) [4], cellular networks [5], ad-hoc networks [6, 7], and hybrid networks [8] Based ... On the first- and second -order statistics of the capacity of N ∗Nakagami-m channels for applications in cooperative networks Gulzaib Rafiq∗1 , Bjøn Olav Hogstad2 and Matthias P¨tzold1 ... Pillai, Probability, Random Variables and Stochastic Processes, 4th edn (McGraw-Hill, New York, 2002) 36 MD Yacoub, JEV Bautista, LG de Rezende Guedes, On higherorderstatistics of the Nakagami-m...
... uniformly and monotonically to the unique solution of (1.1), and the convergence is of order T G Melton and A S Vatsala Preliminaries In this section, we recall some well known theorems and corollaries ... nonincreasing and fu + gu < on Ω Then there exist monotone sequences {αn (t)} and {βn (t)}, n ≥ which converge uniformly and monotonically to the unique solution of (3.1) and the convergence is of order ... ≤ αn+1 ≤ βn+1 ≤ βn on J, where αn+1 and βn+1 are solutions of BVPs (3.6) and (3.7), respectively, with α = αn and β = βn The inequalities (3.2) and (3.4), and (3.15) imply −αn ≤ f t,αn + g t,αn...
... Mary Dalrymple, Stuart Shieber, and Fernando Pereira 9 Ellipsis and higher- orderunification Linguistics and Philosophy, 14:399452 Daniel Dougherty 1993 Higher- order unification using combinators ... Michael Kohlhase 1996 Focus and higher- order unification In Proe COLING96 forthcoming Claire Gardent, Michael Kohlhase, and Noor van Leusen 1996 Corrections and higher- order unification CLAUS report ... left hand side of our equations reduces the problem of finding solutions to higher- order matching, of which decidability has been proven for the subclass of third -order formulae (Dowek, 1992) and...
... models It is tuned on a development set using the gold sec- Berkeley parser First -order Higher- order Higher- order+ λ Stanford parser C&J parser Conbination R(%) 89.71 91.33 91.62 91.60 91.04 92.02 ... DT QP and VP → VBN PP The parent and sibling features of the two child rules can also be extracted from the current derivation and used to calculate the score of this derivation But parent and ... (2004) and Petrov and Klein (2008b) Similar to the bigrams features in Collins (2000) Similar to the grandparent rules features in Collins (2000) VP VP VP VP Table 1: Examples of lexical and structural...
... arguments to deduce global existence and convergence for a natural sixth order flow on surfaces The approach used in [6] and [24] is based on integral estimates and 328 SIMON BRENDLE does not rely ... v) dV0 M f + lower order terms + Here, we adopt the convention that (−∆0 )m+ = ∇0 (−∆0 )m for all integers m (see [1]) The right-hand side involves derivatives of v and w of order at most n Moreover, ... Adams, A sharp inequality of J Moser for higherorder derivatives, Ann of Math 128 (1988), 385–398 [2] T Branson, S.-Y A Chang, and P Yang, Estimates and extremals for zeta function determinants...
... function for the higher- order generalized Genocchi numbers and polynomials attached to χ The purpose of this paper is to present a systemic study of some families of higher- order generalized ... aj l q r i wi qdlwr 2.20 References L.-C Jang, K.-W Hwang, and Y.-H Kim, “A note on h, q -Genocchi polynomials and numbers of higher order, ” Advances in Difference Equations, vol 2010, Article ... q-zeta functions and q-Euler polynomials,” Journal of Physics, vol 43, no 25, Article ID 255201, 11 pages, 2010 12 I N Cangul, V Kurt, H Ozden, and Y Simsek, “On the higher- order ω-q-Genocchi...
... Euler numbers and polynomials of order k attached to χ 4 Advances in Difference Equations We firstly consider the twisted q-extension of the generalized Euler polynomials of higherorder as follows: ... p-adic log gamma functions and related integrals,” Journal of Number Theory, vol 76, no 2, pp 320–329, 1999 T Kim, “Some identities on the q-Euler polynomials of higherorderand q-Stirling numbers ... multiple h, q -l-function related to higherorder h, q -Euler polynomials as h,r lq s, x | χ r ∞ q m1 ,··· ,mr where s, h ∈ C, x / 0, −1, −2, · · · , r ∈ N, and ζ r j h−j mj m1 e2πi/d −ζ m1 ···...
... concentrated on lower -order neutral functional differential equations, while studies on higher- order neutral functional differential equations are rather infrequent, especially on higher- order p-Laplacian ... assume that |c| / 1, and the paper is organized as follows We first transform 1.3 into a system of first -order differential equations, and then by applying Mawhin’s continuation theory and some new inequalities, ... T ⎪ ⎪ ⎩ , T ≤ t ≤ s ≤ T, i 1, 2, , n 2.33 From 2.30 and 2.33 , it is clear that QN and K I − Q N are continuous, and QN Ω is bounded, and so K I − Q N Ω is compact for any open bounded Ω ⊂...
... D R Anderson, “Solutions to second -order three-point problems on time scales,” Journal of Difference Equations and Applications, vol 8, no 8, pp 673–688, 2002 D R Anderson and I Y Karaca, Higher- order ... using Krasnosel’skii fixed point theorem Recently, Anderson and Karaca studied higher- order three-point boundary value problems on time scales and obtained criteria for the existence of positive ... ζi < μξi , r < κ and ζi ≥ κS ρi / κ − r , i 1, 2, , m such that ξ ζ i iii fμξi > R and fρii < r; iv f t, ψ t − c /u t < r, for all t ∈ Y1 and u ∈ ρi , ζi If (C1), (C2), and (C3) hold, then...
... Value Problems for HigherOrder Differential Equations, World Scientific, Teaneck, NJ, USA, 1986 R P Agarwal and F.-H Wong, “Existence of positive solutions for non-positive higher- order BVPs,” Journal ... 2004 A Cabada, “The method of lower and upper solutions for second, third, fourth, andhigherorder boundary value problems,” Journal of Mathematical Analysis and Applications, vol 185, no 2, pp ... R Grossinho and F M Minhos, “Upper and lower solutions for higherorder boundary value ´ problems,” Nonlinear Studies, vol 12, no 2, pp 165–176, 2005 11 M R Grossinho, F M Minhos, and A I Santos,...
... by an order- statistics- based filtering followed by a smoothing operation A number of window sizes can be selected for the orderstatisticsand smoothing filters, all of which are data driven and ... orderstatisticsand smoothing filters With the determination of window size wen for envelope formation, MAX and MIN filters are applied to the corresponding ITS-BIMF FT j to obtain the upper and ... window size for orderstatistics filters is determined based on the maxima and minima maps obtained from a source image Si , that is, based on P j and Q j derived from FT j when j = and FT j = Si...
... continuous and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Next, we consider the existence and uniqueness of solutions for the following singular higher- order ... superlinear higherorder ODEs,” Computers and Mathematics with Applications, vol 40, no 2-3, pp 249–259, 2000 P W Eloe and J Henderson, “Singular nonlinear boundary value problems for higherorder ordinary ... solutions for singular higherorder nonlinear equations,” Differential Equations and Dynamical Systems, vol 2, no 2, pp 153–160, 1994 X Lin, D Jiang, and X Li, “Existence and uniqueness of solutions...
... virtue of the higher- order derivatives or epiderivatives introduced by the higher- order tangent sets Li et al 18 studied some properties of higher- order tangent sets and higher- order derivatives ... notion of higherorder weakly generalized adjacent epiderivative for a set-valued map Then, by virtue of the epiderivative, we discuss a higher- order Mond-Weir type duality problem and a higher- order ... epiderivative of a set-valued map, and study some of their properties In Sections and 5, we introduce a higher- order Mond-Weir type dual problem and a higher- order Wolfe type dual problem to a...
... distribution of extended higherorder q-Euler and q-Genocchi polynomials In 24 , Choi-Anderson-Srivastava have studied the q-extension of the Apostol-Euler polynomials of order n, and the multiple Hurwitz ... Choi, P J Anderson, and H M Srivastava, “Some q-extensions of the Apostol-Bernoulli and the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta function,” Applied Mathematics and Computation, ... 816129, pages, 2008 H Ozden, I N Cangul, and Y Simsek, “Multivariate interpolation functions of higher- order q-Euler numbers and their applications,” Abstract and Applied Analysis, vol 2008, Article...
... Inequalities and Applications Higher- order q-Euler numbers and polynomials In this section we also assume that q ∈ Cp with |1 − q|p < Now we study on higher- order q-Euler numbers and polynomials and sums ... see 1–23 Higher- order twisted Bernoulli and Euler numbers and polynomials are studied by many authors see for detail 1–21 In 14 Ozden et al constructed generating functions of higher- order twisted ... polynomials and numbers, see 14, 15 In this paper, we consider the new q-extension of Euler numbers and polynomials to be different which is treated by Ozden et al From our q-Euler numbers and polynomials,...