photoacoustic spectroscopy and higher order optical spectroscopies

...    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 ... 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;...

Ngày tải lên: 12/01/2014, 21:46

Ngày tải lên: 24/04/2014, 17:17

... 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...

Ngày tải lên: 22/06/2014, 22:20

... Transform 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 ... 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 ... 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)...

Ngày tải lên: 11/09/2015, 14:29

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

... 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

... approximately 20 K higher than that of Ca2+-depleted LH1–RC Results and Discussion Steady-state absorption and fluorescence spectroscopy The 915 nm form of LH1–RC exhibits much higher thermal stability ... wavelengths of both the 915 and 889 nm forms shift to blue, and the emission bands get broader (Fig 2) For the 915 nm form, the peak wavelength shifts from 945.4 to 939.5 nm, and the bandwidth increases ... when the a- and b-polypeptides of LH1 have higher flexibility [28] Raman lines R5 or R6 overlapped with the intense carotenoid band (m3) and therefore cannot be resolved For both the 915 and 889 nm...

Ngày tải lên: 30/03/2014, 02:20

... 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 ... 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...

Ngày tải lên: 21/06/2014, 05:20

... 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

... 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...

Ngày tải lên: 21/06/2014, 20:20

... 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 ... 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 ... R Grossinho and F M Minhos, “Upper and lower solutions for higher order boundary value ´ problems,” Nonlinear Studies, vol 12, no 2, pp 165–176, 2005 11 M R Grossinho, F M Minhos, and A I Santos,...

Ngày tải lên: 21/06/2014, 20:20

... 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 higher order ordinary ... 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, “Existence and uniqueness of solutions...

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

... 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,...

Ngày tải lên: 22/06/2014, 06:20

... 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 higher order ordinary ... 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, “Existence and uniqueness of solutions...

Ngày tải lên: 22/06/2014, 06:20

... k, d is some constant, ψ(ξ) is analytic and does not vanish in < |ξ | ≤ ∞ and ψ(∞) = 1, both u(ξ) and h(ξ) are entire functions of finite order If G j (t) and g j (t) ( j = 0, ,k − 2) are transposed ... k, d0 is some constant, ψ0 (ξ) is analytic and does not vanish in < |ξ | ≤ ∞, and ψ0 (∞) = 1, both u0 (ξ) and h0 (ξ) are entire functions, and h0 (ξ) and u0 (ξ) also satisfy the following: (a) ... constant, ψ(ζ) is analytic and does not vanish in < |ζ | ≤ ∞, and ψ(∞) = 1, both u(ζ) and h(ζ) are entire functions and have at most a pole at ζ = ∞, as Z.-X Chen and S.-A Gao 11 ζ → ∞, set W(ζ)...

Ngày tải lên: 22/06/2014, 18:20