نتایج جستجو برای: trigonometric function
تعداد نتایج: 1216172 فیلتر نتایج به سال:
In this paper, a modified technique based on constellation shaping is proposed to reduce the peak-toaverage power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) systems. To accomplish significant reduction in PAPR, the energy compaction property of trigonometric transforms such as discrete cosine transform (DCT) is utilized in combination with the time domain constellation sh...
Motivated by the fact that in textures, there is usually a presence of strongly oriented harmonics, a representation which is both well-localised in frequency and orientation is desirable to efficiently describe such oriented harmonic features. Here we introduce a family of directional trigonometric bases for a bi-variate function which is defined as !#"%$ & '( )$+* ,-&% .% /.% where the 0 is a...
Email: [email protected] Abstract: The enhanced (G′/G)-expansion method is very effective and powerful method to find the exact traveling wave solutions of nonlinear evolution equations. We choose the Phi-4 equation to illustrate the validity and advantages of this method. As a result, many exact traveling wave solutions are obtained, which include soliton, hyperbolic function and trigonom...
G -expansion method is extended to construct exact solutions to the two-dimensional generalized nonlinear Schrödinger equation with distributed coe cients. Hyperbolic function solution, trigonometric function solution and rational exact solution with parameters are obtained. Selecting parameters and parameter functions properly, novel light bullet soliton solutions with or without the chirp are...
We refine a formula on values of multiple sine functions at division points. As applications we prove a formula on a sum of reciprocal trigonometric values, and obtain multiple modularity of a three variable modular function, which concerns a generalization of the Dedekind η function.
We investigate several iterative methods for the numerical solution of Theodorsen's integral equation, the discretization of which is either based on trigonometric polynomials or function families with known attenuation factors. All our methods require simultaneous evaluations of a conjugate periodic function at each step and allow us to apply the fast Fourier transform for this. In particular,...
Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace–Beltrami operator. The R-radius hypersphere SR with R > 0, represents a Riemannian manifold with positive-constant sectional curvature. We obtain a spherically symmetric fundamental solution of Laplace’s equation on this manifold in ter...
Using functional properties of the Hurwitz zeta function and symbolic derivatives of the trigonometric functions, the function ζ(2n + 1, p/q) is expressed in several ways in terms of other mathematical functions and numbers, including in particular the Glaisher numbers. 2000 Mathematics Subject Classification. Primary 11M35, 33B99. Secondary 11B75, 33E20.
Analogous to the quadratic B-spline curve, a piecewise quadratic trigonometric polynomial curve is presented in this paper. The quadratic trigonometric polynomial curve has C2 continuity, while the quadratic B-spline curve has C1 continuity. The quadratic trigonometric polynomial curve is closer to the given control polygon than the quadratic B-spline curve.
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