get comfortable using higher order functions

... from Higher Order Spectra: 2-D Image Inputs”, IEEE Transactions on image processing, 6, pp 703-712, 1997 7) Chandran V., Elgar S.L., “Pattern recognition using invariants defined from higher order ... “Estimation of third order cumulants in application of higher order spectra”, IEE Proceedings, Part F, vol 140, no 6, pp 380-389, 1993 29) Nikias C.L., Petropulu A.P., Higher- order spectra analysis: ... Athina P.P., John M.R., Higher Order Spectra Based Deconvolution of Ultrasound Images”, May 1995 34) Vinod C., Daryl N., Sridha S., "Speaker Identification Using Higher Order Spectral Phase Features...

Ngày tải lên: 14/07/2014, 11:49

Ngày tải lên: 12/01/2014, 22:19

... Journal of Inequalities and Applications Several researchers have investigated higher- order derivatives of multivalent functions, see, for example, 1–10 Recently, by the use of the well-known Jack’s ... Jack’s lemma 11, 12 , Irmak and Cho obtained interesting results for certain classes of functions defined by higher- order derivatives Let f and g be analytic in U Then f is subordinate to g, written ... analytic functions, while the second subordination implication gives conditions for convexity of functions If q and p 1, the second subordination gives conditions for starlikeness of functions...

Ngày tải lên: 22/06/2014, 03:20

... must satisfy the above PDE By using the change of variables, we can get the characteristic function and its solution Then we can invert the characteristic function to get the desired probabilities ... Wilson (1996) are good references for the method of using conditional expectation to reduce variance Jin Xing et al (2004) improved the method by focusing on Quasi Monte Carlo which is as not sophisticated ... The Taylor series relates the value of a differentiable function at any point to its first and higher order derivatives at a reference point Mathematically, we can write it as f k = f + (kT ) f...

Ngày tải lên: 03/10/2015, 20:59

... autocorrelation domain Higher- Order Spectra (HOS) (of order greater than 2), which are defined in terms of higher- order cumulants of the data, contain such information [16] The third -order spectrum is ... bispectrum, the fourth -order one as trispectrum, and in fact, the power spectrum is also a member of the higher- order spectral class; it is the second -order spectrum HOS consist of higher- order moment ... must be studied separately Higher- order correlations between input and output can detect and characterize certain nonlinearities [34], and for this purpose several higher- order spectra-based methods...

Ngày tải lên: 16/12/2013, 04:15

... ) ` Since is of order , the denition assures that for a -th order Taylor model , the antiderivative is again a -th order Taylor model Moreover, since all terms of of exact order are bound into ... can be made for 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, ... 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 $ ! $ Ơ...

Ngày tải lên: 12/01/2014, 21:46

... Remark Variable order We must compute ( u ]) , : : :, ( u ]) ? in order to compute 0 p ( u ]) Hence, it is relatively inexpensive to compute the step size in Task for each order p The order used ... Solving Ordinary Di erential Equations Using Taylor Series, ACM Trans Math Software, 8(1982), 114{144 2] G Corliss, Validating an A Priori Enclosure Using High -Order Taylor Series, presented at SCAN ... not enclose the solution on this enlarged interval, in general Lohner 9] suggests using coarse enclosures for higher derivatives also in the general case Actually, he uses Theorem instead of Theorem...

Ngày tải lên: 12/01/2014, 22:06

... hierarchy of higher order expectations The law of motion for the hierarchy of expectations is derived in the Section 5.1 An average higher order expectations operator To compute the higher order expectations ... properties of higher order expectations explicit 4.1 First order expectations We start by establishing some properties of first order expectations This may seem pedantic, since properties of first order ... from (4.13) 4.3 Variance bounds for higher order expectations Proposition The variance of higher order expectations of θt are bounded by the variance of lower order expectations, i.e (k) E θt (k+1)...

Ngày tải lên: 20/02/2014, 19:20

... proving in higher- order logic than in first -order logic as claimed in the last point, the nature of proofs in higher- order logic is far from mysterious For example, higher- order resolution [1] ... expressing a higher- order theorem (as we will claim many statements about meaning are) in a higher- order logic makes its logical structure more explicit than an encoding into first -order logic ... sublogics of first -order logic An example of such a case is the higher- order version of definite clauses that we shall consider shortly In this paper, we present a higher- order version of definite...

Ngày tải lên: 21/02/2014, 20:20

... 3.6.1 Functions Whose Return Values Do Not Depend on Their Arguments 3.6.2 Functions with Side Effects 3.6.3 Functions ... 256 257 259 260 263 265 269 272 283 286 288 293 300 304 305 308 310 313 319 320 320 Higher- Order Functions and Currying 325 7.1  ... 0, but the example of () shows clearly that it isn’t Getting the base case right is vitally important in recursive functions, because if you get it wrong, it will throw off all the other results...

Ngày tải lên: 07/03/2014, 01:20

... Shieber, and Fernando Pereira 9 Ellipsis and higher- orderunification Linguistics and Philosophy, 14:399452 Daniel Dougherty 1993 Higher- order unification using combinators Theoretical Computer Science ... 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 ... Prehofer 1994 Decidable higher- order unification problems In Alan Bundy, editor, Proc CADE94, LNAI, pages 635-649, Nancy, France References Steve G Pulman 1995 Higher- order unification and the...

Ngày tải lên: 17/03/2014, 09:20

... introduced to balance the two 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 ... model backs off to a first -order one similar to those in the previous works Adding structural features, each involving a least a neighboring rule instance, makes it a higher- order parsing model (3) ... are estimated from a training set using an averaged perceptron algorithm, following Collins (2002) and Huang (2008) The performance of our first- and higher- order parsing models on all sentences...

Ngày tải lên: 23/03/2014, 14:20

... treasures it finds—recursion, iterators, filters, memoization, partitioning, numerical methods, higher- order functions, currying, cutsorting, grammar-based parsing, lazy evaluation, and constraint programming—into ... 3.6.1 Functions Whose Return Values Do Not Depend on Their Arguments 3.6.2 Functions with Side Effects 3.6.3 Functions ... 256 257 259 260 263 265 269 272 283 286 288 293 300 304 305 308 310 313 319 320 320 Higher- Order Functions and Currying 325 7.1  ...

Ngày tải lên: 25/03/2014, 10:26

... difficulty in setting up the interpolation problem using spline function is to find the right boundary conditions In the interpolation problem using data from the hydrological stations, the boundary ... horizons 0, 10, 20, 30, 50, 75, 100, 125, 150, 200, 250, 300, 400, 500, 600, 800 and 1000m Using the cubic spline functions, we computed the temperature values at different a1 a2 a3 24.88 24.89 24.87 ... traditional linear interpolation and one uses cubic spline functions for interpolation, we can see an advantage of the latter: the cubic spline functions give smoother curve of profiles, and the profiles...

Ngày tải lên: 28/03/2014, 15:20

... w Hn ≤C for all ≤ t ≤ T Using the Sobolev inequality, we obtain |w| ≤ C ≤ t ≤ T for all Boundedness of w in H 2k for ≤ t ≤ T We now establish bounds for the higher order derivatives: d dt M ... useful in our situation This is due to the fact that the equation studied in this paper has higher order, hence the maximum principle is not available In Section we derive the evolution equation ... 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,...

Ngày tải lên: 28/03/2014, 22:20

Ngày tải lên: 24/04/2014, 17:17

... solutions for first -order functional difference equations [8–12] Only a few article have been published on the same problem for higher- order functional difference equations Recently, using coincidence ... existence of periodic solutions for the higherorder difference equation x(n + k) = g(x(n)) − f (n, x(n − τ (n)) We show the existence of periodic solutions by using Schauder’s fixed point theorem, ... at least one periodic solution of equation (1.2) By using fixed point theorem in a cone, Wang and Chen [14] discussed the following higher- order functional difference equation x(n + m + k) − ax(n...

Ngày tải lên: 18/06/2014, 22:20

... traditional linear interpolation and the interpolation using cubic spline functions, we can see the advantage of the later one The cubic spline functions give smoother curve of profiles and the profiles ... horizons 0, 10, 20, 30, 50, 75, 100, 125, 150, 200, 250, 300, 400, 500, 600, 800 and 1000 m Using the cubic spline functions we have computed the temperature values from the surface layer to the 1000 ... difficulty in the setting up of the interpolation problem using spline function is to find the right boundary conditions In the interpolation problem using data from the hydrological stations, the boundary...

Ngày tải lên: 20/06/2014, 00:20

... R (x) R(x) a.e t ∈ Ê+ \J, then we write w ∈ L2 To obtain estimations of the coefficients of higher order Hermite-Fejér interpolation polynomial based at the zeros {xk,n,ρ }n , we need to focus ... = k=1 s=0 In particular, for f Î C(ℝ), we define the m -order Hermite-Fejér interpolation polynomials Ln (m, f ; x) ∈ Pmn−1 as the (0, m) -order Hermite-Fejér interpolation polynomials Ln(0, m, ... doi:10.1016/j.jat.2010.02.006 Kanjin, Y, Sakai, R: Pointwise convergence of Hermite-Fejér interpolation of higher order for Freud weights Tohoku Math J 46, 181–206 (1994) doi:10.2748/tmj/1178225757 Levin, AL,...

Ngày tải lên: 20/06/2014, 22:20