We present a machine learning (ML) framework for designing desired signal power profiles over the spectral and spatial domains in fiber span. The proposed adjusts Raman pump values to obtain two-dimensional (2D) using convolutional neural network (CNN) followed by differential evolution (DE) technique. CNN learns mapping between 2D their corresponding data-set generated exciting amplification s...

A method is developed for solving the two dimensional Helmholtz equation in a duct with varying cross-section region bounded by a curved top and flat bottom, having one region inside. To compute the propagation of sound waves in a curved duct with a curved internal interface is difficult problem. One method is to transform the wave equation into a solvable form and making the curved interface p...

We define analytic torsion τ (X,E ,H) ∈ detH(X, E ,H) for the twisted de Rham complex, consisting of differential forms on a compact Riemannian manifold X valued in a flat vector bundle E , with a differential given by ∇ +H ∧ · , where ∇ is a flat connection on E , H is an odd-degree closed differential form on X, and H(X, E ,H) denotes the cohomology of this Z2-graded complex. We show that whe...

In this paper a novel common mode separation technique for implementing fully differential current buffers is introduced.  Using the proposed method two high CMRR (Common Mode Rejection Ratio) and high PSRR (Power Supply Rejection Ratio) fully differential current buffers in BIPOLAR and CMOS technologies are implemented.   Simulation results by HSPICE using 0.18μm TSMC process for CMOS based st...

We prove some ergodic theorems for flat surfaces of finite area. The first result concerns such surfaces whose Teichmüller orbits are recurrent to a compact set of SL(2,R)/SL(S, α), where SL(S, α) is the Veech group of the surface. In this setting, this means that the translation flow on a flat surface can be renormalized through its Veech group. This result applies in particular to flat surfac...

    In this paper, a variational iteration method (VIM), which is a well-known method for solving nonlinear equations, has been employed to solve an inverse parabolic partial differential equation. Inverse problems in partial differential equations can be used to model many real problems in engineering and other physical sciences. The VIM is to construct correction functional using general Lagr...

the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...

BACKGROUND AND PURPOSE Perfusion and angiographic imaging using intravenous contrast application to evaluate stroke patients is now technically feasible by flat detector CT performed by the angiographic system. The aim of this pilot study was to show the feasibility and qualitative comparability of a novel flat detector CT dynamic perfusion and angiographic imaging protocol in comparison with a...

In this paper, noncoherent receivers for differential space–time modulation (DSTM) are investigated. It is shown that the performance of the previously proposed conventional differential detection (DD) receiver is satisfactory only for very slow flat fading channels. However, conventional DD suffers from a considerable loss in performance even for moderately fast fading. In order to overcome th...

We consider some natural connections which arise between right-flat (p, q) para-conformal structures and integrable systems. We find that such systems may be formulated in Lax form, with a " Lax p-tuple " of linear differential operators, depending a spectral parameter which lives in (q − 1)-dimensional complex projective space. Generally, the differential operators contain partial derivatives ...