This paper is dedicated to study the sine version of polar bodies and establish Lp-sine Blaschke-Santaló inequality for centroid body. The body ΛpK a star K⊂Rn convex based on transform, its associated provides an upper bound volume Λp∘K, ΛpK, in terms K. Thus, this can be viewed as “sine cousin” Lp established by Lutwak Zhang. As p→∞, limit Λp∘K becomes K⋄ hence reduces polarity naturally lead...

As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1)×U(1). The result are novel noncommutative sine-Gordon equa...

We derive a new zero-curvature formalism for the sine-Gordon (sG) equation which permits the introduction of a local sine-Gordon hierarchy (in contrast to the traditionally accepted nonlocal higher-order sG equations). In complete analogy to other completely integrable hierarchies of soli-ton equations, such as the KdV, AKNS, and Toda hierarchies, our local sG hierarchy is recursively construct...

Short interspersed nuclear elements (SINEs) are non-autonomous non-LTR retroelements that are present in most eukaryotic species. While SINEs have been intensively investigated in humans and other animal systems, they are poorly studied in plants, especially in wheat (Triticum aestivum). We used quantitative PCR of various wheat species to determine the copy number of a wheat SINE family, terme...

Ocular following responses (OFRs) were elicited in monkeys at short latencies ( approximately 50ms) by applying motion in the form of successive 1/4-wavelength steps to each of two overlapping vertical sine-wave gratings that had different spatial frequencies. In the first experiment, the two sine waves had spatial frequencies in the ratio 3:5 and moved in opposite directions. The initial OFRs ...

Producing and manipulating the sine wave function is a common problem encountered by circuit designers. Sine wave circuits pose a significant design challenge because they represent a constantly controlled linear oscillator. Sine wave circuitry is required in a number of diverse areas, including audio testing, calibration equipment, transducer drives, power conditioning and automatic test equip...

It is well known that the classical string on a two-sphere is more or less equivalent to the sine-Gordon model. We consider a system which can be understood as a T-dual to the classical string on a two-sphere. We show that there is a projection map from the phase space of this model to the phase space of the sine-Gordon model. The corresponding Poisson structure of the sine-Gordon model is nonl...

The conventional sine wave oscillator circuits use phase shifting techniques that RC phase shift oscillator using op-amp in inverting amplifier introduces. Figure show a RC phase shift oscillator using Op-Amp with gain 5(Vo/Vi). My assumption : Circuit is generating a sine wave with a peak to peak voltage of 10v. Voltage stability, specifically the lack of, when using a resister divider is the ...

This paper is associated with implementation of Sine & Cosine using Volder’s CORDIC Algorithm. CORDIC algorithm based Systems are used for fast and silicon area efficient computation of the sine and cosine functions. The algorithmic approach for the CORDIC algorithm implementation is presented here. Summary of CORDIC synthesis results based on Actel and XILINX FPGAs is given. Finally applicatio...