This paper is devoted to the study of higher secant varieties of varieties of completely decomposable forms. The main goal is to develop methods to inductively verify the non-defectivity of such secant varieties. As an application of these methods, we will establish the existence of large families of non-defective secant varieties of “small” varieties of completely decomposable forms.

Image enhancement is important given that it can be used to highlight the area of interest in images. This article designs four filters via special function for realizing image enhancement. Firstly, a filter based on exponential designed. When value progression even, edge feature extracted. odd, sharp contrast obtained. Secondly, built using hyperbolic cosine and its inverse function, where pri...

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We experimentally and theoretically study self-phase modulation by Kerr effect in a liquid filled hollow core photonic crystal fiber. We perform a complete characterization of the linear optical properties of the hollow core photonic bandgap fiber filled with deuterated acetone to determine all the characteristics of the propagation mode. The nonlinear coefficient of the fiber is determined by ...

'19 ABSTRACT (Continue on reverse if necessay ano identity by block number) We present analytical results for the steady-state signal and phase-conjugate fields interacting with smoothly varying nondepleted pump waves in a nearly degenerate four-wave-mixing geometry. Signal depletion is retained in the equations and we study the effect that detuning on the input signal from the degenerate pump ...

We present an energy conserving leapfrog finite-difference scheme for the nonlinear Maxwell's equations investigated The model describes one-dimensional scalar optical soliton propagation in polarization preserving nonlinear dispersive media. The existence of a discrete analog of the underlying continuous energy conservation law plays a central role in the global accuracy of the scheme and a pr...

The article describes a certain computation method of -arcs to construct the number distinct in for . In this method, new approach employed compute and arcs respectively. This is based on choosing inequivalent classes } -secant distributions that 4-secant, 3-secant, 2-secant, 1-secant 0-secant each process. maximum size -arc has been constructed by tool deal with programming difficulties someti...

A (1)H NOESY experiment with two (13)C half-filters is described which has, compared to previously reported versions, an enhanced overall sensitivity and strongly reduced intramolecular cross peaks in any part of the spectrum edited for intermolecular NOEs. By adding a shaped (13)C pulse to the half-filter which selectively inverts the aromatic resonances, the filter can be tuned separately and...

We suggest analytic estimates for the Q-switching instability boundary of the continuous-wave mode-locking regime domain for a ring cavity semiconductor laser. We use a differential delay laser model that allows to assume large gain and loss in the cavity, which is a typical situation for this laser class. The slow saturable absorber approximation is applied to derive a map that describes the t...

Here, we study the characteristic feature of conventional (ON-OFF keying) and soliton based transmission system. We consider 20Gbps transmission system implemented with Conventional Single Mode Fiber (C-SMF) to examine the role of Gaussian pulse which is the characteristic of conventional propagation and Hyperbolic-secant pulse which is the characteristic of soliton propagation in it. We note t...