intrinsic dimensionality nonlinear image operators and higher order statistics

... 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- Order Statistics ... 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...

Ngày tải lên: 11/09/2015, 14:29

...    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 higher order ODEs 3.1 Example Earlier, we indicated that the presented method can also be used for the direct integration of higher order problems To illustrate this, and to show ... effect (Makino and Berz, 2000), and high-dimensional veried quadrature (Makino and Berz, 1996; Berz, 2000) e" " hXxg" 4A Ê "  dĂ 44"     ăfe Ă be a box with Let be a ) and be an open...

Ngày tải lên: 12/01/2014, 21:46

Ngày tải lên: 24/04/2014, 17:17

... Mathematics and Computation 87 (1997), no 2-3, 217–226 , Quasilinearization and rate of convergence for higher- order nonlinear periodic boundary[5] value problems, Journal of Optimization Theory and ... 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...

Ngày tải lên: 22/06/2014, 22:20

... Pillai, Probability, Random Variables and Stochastic Processes, 4th edn (McGraw-Hill, New York, 2002) 36 MD Yacoub, JEV Bautista, LG de Rezende Guedes, On higher order statistics of the Nakagami-m ... Hence, it is important to study the LCR and ADF in addition to the PDF and CDF of the instantaneous channel capacity in order to meet the increasing demand for high data rates in mobile communication ... Ωn = E {χ2 (t)}, mn = Ω2 /Var {χ2 (t)}, and Γ (·) represents the gamma n n n function [33] The expectation and the variance operators are denoted by E{·} and Var{·}, respectively The parameter...

Ngày tải lên: 20/06/2014, 20:20

Ngày tải lên: 12/01/2014, 22:19

... 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...

Ngày tải lên: 17/03/2014, 09:20

... 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...

Ngày tải lên: 23/03/2014, 14:20

Ngày tải lên: 27/03/2014, 11:51

... 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 higher order 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...

Ngày tải lên: 28/03/2014, 22:20

... 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 ... Govil and Gupta 10 have introduced a new type of q-integrated Meyer-Konig-Zeller-Durrmeyer operators, and their results are ¨ closely related to the study of q-Bernstein polynomials and q-Genocchi ... 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...

Ngày tải lên: 21/06/2014, 05:20

... Netherlands, 2000 R P Agarwal, E Thandapani, and P J Y Wong, “Oscillations of higher- order neutral difference equations,” Applied Mathematics Letters, vol 10, no 1, pp 71–78, 1997 R P Agarwal and ... editor and the referee for their kind help, careful reading and editing, valuable comments and suggestions References R P Agarwal, Difference Equations and Inequalities: Theory, Methods, and Application, ... “Oscillation of higher- order nonlinear difference equations of neutral type,” Applied Mathematics Letters, vol 12, no 8, pp 77–83, 1999 S S Cheng and W T Patula, “An existence theorem for a nonlinear...

Ngày tải lên: 21/06/2014, 11:20

... 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 higher order 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 higher order and q-Stirling numbers ... multiple h, q -l-function related to higher order 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 ···...

Ngày tải lên: 21/06/2014, 16:20

... 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 ⊂...

Ngày tải lên: 21/06/2014, 16:20

... where Dα is the standard Rimann-Liouville fractional derivative of order n − < α ≤ n, n ≥ 3, g ∈ C 0, , 0, ∞ and g may be singular at t or /and at t 1, h ∈ L1 0, is nonnegative, and f ∈ C 0, × 0, ... investigated the existence and multiplicity of positive solutions for a class of higher- order nonlinear fractional differential equations with integral boundary conditions and obtained some easily ... USA, 1993 K B Oldham and J Spanier, The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order, vol 11 of Mathematics in Science and Engineering, Academic...

Ngày tải lên: 21/06/2014, 16:20

... 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 ... 2 Boundary Value Problems nonlinearity w may have singularity at t a and/ or t b, and f may have singularity at u To understand the notations used in 1.1 , we recall the following...

Ngày tải lên: 21/06/2014, 20:20

... 320, 1994 A Cabada, M R Grossinho, and F Minhos, “Extremal solutions for third -order nonlinear problems ´ with upper and lower solutions in reversed order, ” Nonlinear Analysis: Theory, Methods ... 2004 A Cabada, “The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems,” Journal of Mathematical Analysis and Applications, vol 185, no 2, pp ... Value Problems for Higher Order 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...

Ngày tải lên: 21/06/2014, 20:20

... 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 higher order ordinary ... 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 ... J Chyan and J Henderson, “Positive solutions for singular higher order nonlinear equations,” Differential Equations and Dynamical Systems, vol 2, no 2, pp 153–160, 1994 X Lin, D Jiang, and X Li,...

Ngày tải lên: 22/06/2014, 00:20

... 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...

Ngày tải lên: 22/06/2014, 02:20

... distribution of extended higher order 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...

Ngày tải lên: 22/06/2014, 03:20