green s operators and solving faddeev integral equations for coulombic systems

... these operators] The differential forms can be used to describe various systems of PDEs and to express different geometric structures on manifolds For instance, some kinds of differential forms are ... λ /s m |x − xB | ) dx⎠ σB ⎞1 /s ⎛ ⎛ −λ /s s ≤⎝ (|u||x − xB | σB ⎛ ≤⎝ ) dx⎠ ⎝ ⎞1 /s (|x − xB σB |u| |x − xB | dx⎠ C5 (σ rB ) −λ s σB ⎛ ≤ C6 ⎝ σB ⎞ s m ms ms |λ /s ) s m dx⎠ (2:8) λ /s+ n (s m)/ms ⎞1 /s ... n−αβ+λβ+ nβ (s m) m 1/ s 1/ s ⎞1 /s |u| |x − xB | dx⎠ −λ s σB ⎞1 /s |u| |x − xB | dx⎠ , −λ s σB thus is, ⎛ ⎝ Dδ ⎛ ⎞1 /s | G(u) |s dx⎠ ≤ C10 ⎝ d(x, ∂M)α σB ⎞1 /s |u |s dx⎠ |x − xB |λ (2:10) 1 /s s | G(u)|...

Ngày tải lên: 20/06/2014, 22:20

... events and likeness of focal mechanisms the northern side leads us to consider the August 16 event as a possible empirical A seismic network was deployed in 1991 July and August, Green' s function ... quantities estimated by our analysis Results for stress drop, total active arca and avcrage total slip are shown in Table for the two possible fault planes and two different rise times The values are ... equal to At, and a stress drop that can reach 30 bar for a rise time equal to twice At We d o not show results for longer rise times because the misfit function is not satisfactory DISCUSSION A N...

Ngày tải lên: 23/03/2014, 13:20

Ngày tải lên: 24/04/2014, 17:23

... σ(t) ,s + ω4 σ(t) ,s y (s) + y σ (s) + y χ (s) ds σ(t) 1−L ω1 σ(t) ,s + ω4 σ(t) ,s ξ (s) + ξ σ (s) + ξ χ (s) ds σ(t) 1−L t 1−L ω3 σ(t) ,s ds + + ω1 σ(t) ,s + ω4 σ(t) ,s 1 ds t 1−L + y χ (s) t 1−L y (s) + y σ (s) ... paper consists of five sections In Section 2, we prove a fixed point theorem of Krasnosel’skii type Our main results will be presented in Sections and Here, the existence solution and the asymptotically ... Hoa and Schmitt also established some fixed point theorems of Krasnosel’skii type for operators of the form U + C on a bounded closed convex subset of a locally convex space, where C is completely...

Ngày tải lên: 22/06/2014, 22:20

... pupils known and the and what the unknown – Solving and the scientists have not – Solving and the result is available found results are not – Solving and the available for pupils results are ... propose hypothesis, however teachers help pupils choose appropriate hypothesis to establish process of solving + With the first conflict, teachers orientate pupils to choose close hypothesis and ... CHEMISTRY We designed lesson plans to teach new lesson, complete knowledge, skills and test matrix, assessing of each chapter and part of advanced 11th organic chemistry The lesson plans are presented...

Ngày tải lên: 20/10/2014, 09:11

... outperform the Bayesian theory based MRC for SISO systems The distance-based method for soft information calculations in the DSC scheme (termed as DSC-D) is proposed for equiprobable source bits ... uncertainty is the plausibility This is defined, for the Sm set, as the total BPA of all subsets that not contradict the Sm set In other words, Pls Sm y (t) = Mas Sm y Sm ∩Sm =φ Spt Sm y(t) , Pls Sm y(t) ... simulations are implemented in quasi-static at Rayleigh fading channels for an SISO system with the ¯ maximum retransmissions times T = for simplicity, and perfect channel estimation is assumed This...

Ngày tải lên: 21/06/2014, 01:20

... different for LOS and NLOS FTs as discussed in Section Still, due to the biased observations at the NLOS FTs, the localization accuracy degrades when the conventional LS technique is used As discussed ... Plos (κ), Pnlos (κ), Plos (τ m ), med rms rms Pnlos (τ m ), Plos −ds (τ rms ), and Pnlos−ds (τ rms ) be the PDFs of the kurtosis, the mean excess delay spread, and the rms delay spread corresponding ... also be used as a soft information in the WLS algorithm as will be discussed in the next section WLS LOCALIZATION TECHNIQUES The NLOS information as discussed in the previous section can be used...

Ngày tải lên: 22/06/2014, 19:20

... communication systems as long as those systems have a similar preamble structure EURASIP Journal on Advances in Signal Processing [14] ACKNOWLEDGMENT This work was supported by the Natural Sciences and ... is assumed as g = dB and θ = 15◦ Figure shows the MSE of U, V , and the frequency offset where the SNR varies from 10 dB to 25 dB As seen in Figure 6, the MSE of the estimates decreases as SNR ... frame is assumed to contain 10 short symbols followed by 10 OFDM symbols The I/Q imbalance is assumed as g = dB and θ = 15◦ Figure shows the BER-SNR plots of a BPSK OFDM system with and without...

Ngày tải lên: 22/06/2014, 20:20

... Abstract Cones, Notes and Reports in Mathematics in Science and Engineering, vol 5, Academic Press, Massachusetts, 1988 [4] M A Krasnosel’ski˘, Positive Solutions of Operator Equations, Noordhoff, Groningen, ... positive solutions of nonlinear systems, Journal of Mathematical Analysis and Applications 281 (2003), no 1, 287–306 , An existence theorem for quasilinear systems, to appear in Proceedings of ... P.-L Lions, On the existence of positive solutions of semilinear elliptic equations, SIAM Review 24 (1982), no 4, 441–467 [6] D O’Regan and H Wang, Positive solutions for p-laplacian systems in a...

Ngày tải lên: 22/06/2014, 22:20

... DACE for stochastic systems, and the gaps of the current research will also be highlighted in this section Based on the gaps specified in Section 1.3, the objective and scope of this thesis will ... deterministic simulation model always generates the exactly same outputs given the fixed inputs However, the stochastic simulation model contains randomness just as the real physical systems This difference ... geo-statistics is caused by two factors: micro-scale variation and measurement error In this article, we assume that the system studied can be modeled as an L2-continuous random process, see Cressie...

Ngày tải lên: 09/09/2015, 17:52

... respectively Thus, 1,T 3.14 It follows from the definition of K that T Φy t G1 t, s r s f s, ys t∈ 1,T t∈ 1,T ≥m us s T r s f s, ys us s ≥ ≥ which implies that Φ K ⊂ K m T Ms max G1 t, s 1 s, t≤T ... 1 s, t≤T r s f s, ys T m max G1 t, s r s f s, ys M t∈ 1,T s m Φy , M us us 3.15 Boundary Value Problems 13 Lemma 3.4 Suppose that (H1 ) holds Then Φ : K → K is completely continuous We assume that ... equations Here this condition connects the history u0 with the single u η This is suggested by the well-posedness of BVP 1.9 , since the function f depends on the term ut i.e., past values of u As...

Ngày tải lên: 21/06/2014, 11:20

... of repeatedly solving linear systems makes the Backus-Gilbert method unsuitable for other than one-dimensional problems How does one choose λ within the Backus-Gilbert scheme? As already mentioned, ... or spread of δ (that is, maximize the resolving power) A is chosen to be some positive measure of the spread While Backus-Gilbert s philosophy is thus rather different from that of PhillipsTwomey ... A and B) is conventionally made, or at least can easily be made, before any actual data are processed One s uneasiness at making a post hoc, and therefore potentially subjectively biased, choice...

Ngày tải lên: 17/10/2013, 22:15

... consistent rules for conducting inference [1,2] Since plausibility is itself always conditioned on some, perhaps unarticulated, set of assumptions, all Bayesian probabilities are viewed as conditional ... physical system in some macroscopic state, usually denoted S, is the logarithm of the number of microscopically distinct configurations that all have the same macroscopic observables (i.e., consistent ... as simple as f(u) = − u, which has no information theoretic justification at all (no logarithms!) MEM reconstructions of test images using any of these entropy forms are virtually indistinguishable...

Ngày tải lên: 24/10/2013, 15:15

... well-conditioned systems of equations We then return to Volterra equations (§18.2), and find that simple and straightforward methods are generally satisfactory for these equations In §18.3 we discuss how ... contrast, solving nonlinear Volterra equations usually involves only a slight modification of the algorithm for linear equations, as we shall see Almost all methods for solving integral equations ... are also sometimes blessings in disguise, since they can spoil a kernel s smoothing and make problems well-conditioned In §§18.4–18.7 we face up to the issues of inverse problems §18.4 is an introduction...

Ngày tải lên: 21/01/2014, 18:20

... functions that respectively return g(t) and λK(t, s) The routine returns arrays t[1 n] and f[1 n] containing the abscissas ti of the Gaussian quadrature and the solution f at these abscissas Also ... as small as possible For smooth, nonsingular problems, nothing beats Gaussian quadrature (e.g., Gauss-Legendre quadrature, §4.5) (For non-smooth or singular kernels, see §18.3.) Delves and Mohamed ... K(t, s) f (s) ds + g(t) f(t) = (18.2.1) a Most algorithms for Volterra equations march out from t = a, building up the solution as they go In this sense they resemble not only forward substitution...

Ngày tải lên: 21/01/2014, 18:20

... involve less work than the corresponding Fredholm equations which, as we have seen, involve the inversion of, sometimes large, linear systems The efficiency of solving Volterra equations is somewhat ... construct such quadratures; or you can find tabulated abscissas and weights in the standard references [1,2] You must of course supply K instead of K This method is a special case of the product Nystrom ... (18.2.4) is an explicit prescription that gives the solution in O(N ) operations Unlike Fredholm equations, it is not necessary to solve a system of linear equations Volterra equations thus usually...

Ngày tải lên: 21/01/2014, 18:20

... t = s Here the Nystrom method fails completely because the kernel gets evaluated at (ti , si ) Subtraction of the singularity is one possible cure: s= b K(t, s) f (s) ds = a a K(t, s) f (t) ds a ... Chapter 18 Integral Equations and Inverse Theory a Gauss-Laguerre [w ∼ exp(− s) ] or Gauss-Hermite [w ∼ exp( s2 )] quadrature should work well Long-tailed functions often succumb to the transformation ... this program gives accuracy at about the 10−5 level The accuracy increases as N (as it should for our Simpson-order quadrature scheme) despite the highly singular kernel Figure 18.3.1 shows the...

Ngày tải lên: 26/01/2014, 15:20

... data and solution, or “sharpness”of mapping between true and estimated solution (here denoted A), and smoothness or stability of the solution (here denoted B) Among all possible solutions, shown ... achievable solutions st be ns tio lu so best agreement (independent of smoothness) Better Smoothness Figure 18.4.1 Almost all inverse problem methods involve a trade-off between two optimizations: agreement ... B comes in It measures something like the “smoothness” of the desired solution, or sometimes a related quantity that parametrizes the stability of the solution with respect to variations in the...

Ngày tải lên: 26/01/2014, 15:20

... [7] Deterministic Constraints: Projections onto Convex Sets A set of possible underlying functions (or images) {u} is said to be convex if, for any two elements ua and ub in the set, all the ... has the specified modulus to within specified error bounds; the set of all positive images; and the set of all images with zero intensity outside of some specified region In this case the POCS iteration ... (18.5.6) subject to the desired nonlinear deterministic constraints See [7] for references to more sophisticated, and faster converging, iterations along these lines CITED REFERENCES AND FURTHER...

Ngày tải lên: 26/01/2014, 15:20

... relations, and then derives explicit expressions for the quasi-TE and quasi-TM modes It shows formulations of Ex and Hy expressions for the quasi-TE (transverse electric) mode and Ey and Hx expressions ... targets Thus, several kinds of analysis methods have xi xii PREFACE to be mastered Writing formal programs based on equations is risky unless one knows the approximations used in deriving those equations, ... discretization errors due to these formulations are also discussed Chapter discusses beam propagation methods for the design of two- and three-dimensional (2D, 3D) optical waveguides Discussed...

Ngày tải lên: 17/03/2014, 14:41