We describe a formula for the Taylor series expansion of the Gaussian kernel around the origin of Rn × R.

Video prediction is a challenging task with wide application prospects in meteorology and robot systems. Existing works fail to trade off short-term long-term performances extract robust latent dynamics laws video frames. We propose two-branch seq-to-seq deep model disentangle the Taylor feature residual frames by novel recurrent module (TaylorCell) module, based on principle for separation. Ta...

In present paper, a numerical approach for solving Cauchy type singular integral equations is discussed. Lagrange interpolation with Gauss Legendre quadrature nodes and Taylor series expansion are utilized to reduce the computation of integral equations into some algebraic equations. Finally, five examples with exact solution are given to show efficiency and applicability of the method. Also, w...

The known proofs for universal Taylor series do not determine a specific universal Taylor series. In the present paper, we isolate a specific universal Taylor series by modifying the proof in [30]. Thus we determine all Taylor coefficients of a specific universal Taylor series on the disc or on a polygonal domain. Furthermore in non simply connected domains, when universal Taylor series exist, ...

In this paper, the reduced dierential transform method is investigated fora nonlinear partial dierential equation modeling nematic liquid crystals, itis called the Hunter-Saxton equation. The main advantage of this methodis that it can be applied directly to nonlinear dierential equations withoutrequiring linearization, discretization, or perturbation. It is a semi analytical-numerical method t...

This paper is concerned with the saddle-path stability of monetary growth rules in a two-country two-sector dynamic stochastic general equilibrium model. Alongside standard features of emerging economies, such as a combination of producer and local currency pricing for exports, fiscal dominance and oil exports, this model also incorporates informal labour and production sectors and examines how...

The history of monetary policy in Iran, judging by their performance in keeping the value of the currency, maintaining a steady growth in the Gross Domestic Product, faltering investment, show that monetary policy has not been a portrait of consistent successes, to say the least. As a result of the recent studies two rules have emerged as guideline for policy makers: Taylor rule and McCallum ru...