This paper describes a design based o n the Taylor series to approximate a function and its derivatives. A f ter being trained, derivatives are obtained in a fast feed forward evaluation without the need fo r backpropagation or fornard perturbation. The Taylor network is basically a n implementation of the Taylor series of a function. However, instead of only having one expansion point, it uses...

This paper proposes two novel methods to simply Logarithmic Maximum a posteriori (Log-MAP) algorithm for turbo codes in the Third Generation Partnership Project Long Term Evolution (3GPP LTE). Firstly, we exploit a new function to replace the logarithmic term in the Jacobian logarithmic function based on Taylor series, which has the best approximated accuracy compared with the existing methods....

Structural dynamic modification plays an important role in structural design. This paper presents algorithm for of the structure, which is based on Combined Approximations (CA) approach, sensitivity analysis, Taylor series expansion and least square method. The feasibility verified by a numerical example results show that accurate enough easy to be implemented.

A new algorithm is developed for computing etAB, where A is an n× n matrix and B is n×n0 with n0 ≪ n. The algorithm works for any A, its computational cost is dominated by the formation of products of A with n× n0 matrices, and the only input parameter is a backward error tolerance. The algorithm can return a single matrix etAB or a sequence etkAB on an equally spaced grid of points tk. It uses...

We study the observable pulse profiles that can be generated from precessing pulsars. A novel coordinate system is defined to aid visualization of the observing geometry. Using this system we explore the different families of profiles that can be generated by simple, circularly symmetric beam shapes. An attempt is then made to fit our model to the observations of relativistic binary PSR B1913+1...

VECTORIAL SEMANTICS AND SYNTAX OF LINEAR LOGICWith finiteness spaces, Ehrhard has shown a semantics of linear logic with a differentiationoperation. In this framework, the interpretation of formulas can be represented as Taylor series.This has led to the introduction of a differential syntax. This thesis in denotational semanticspursues this work through an exploration of ve...

in this paper, we present an efficient method for determining the solution of the stochastic second kind volterra integral equations (svie) by using the taylor expansion method. this method transforms the svie to a linear stochastic ordinary differential equation which needs specified boundary conditions. for determining boundary conditions, we use the integration technique. this technique give...

Robert Thornberg , Consultation Barriers Between Teachers and External Consultants: A Grounded Theory of Change Resistance in School Consultation, 2014, Journal of educational and psychological consultation, (24), 3, 183-210. Journal of educational and psychological consultation is available online at informaworldTM: http://dx.doi.org/10.1080/10474412.2013.846188 Copyright: Taylor & Francis (Ro...

Transient grating spectroscopy is an excellent method for probing the dynamics of quasiparticles in high-temperature superconductors, which are key to understanding the mechanism behind superconductivity in such materials. Femtosecond optical pulses provide timeresolved measurements of reflectivity. When combined with nonuniform excitation due to the diffraction grating, this technique can effe...