in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.

In this paper, the Legendre wavelet neural network with extreme learning machine is proposed for numerical solution of time fractional Black–Scholes model. way, operational matrix derivative based on two-dimensional derived and employed to solve European options pricing problem. This scheme converts problem into calculation a set algebraic equations. The constructed; meanwhile, algorithm adopte...

In this paper, we present a computational method for solving boundary integral equations with loga-rithmic singular kernels which occur as reformulations of a boundary value problem for the Laplacian equation. Themethod is based on the use of the Galerkin method with CAS wavelets constructed on the unit interval as basis.This approach utilizes the non-uniform Gauss-Legendre quadrature rule for ...

Many of the current anomalies reported in the Wilkinson Microwave Anisotropy Probe (WMAP) 1-year data disappear after ‘correcting’ for the best-fit embedded Bianchi type VIIh component (Jaffe et al. 2005), albeit assuming no dark energy component. We investigate the effect of this Bianchi correction on the detections of non-Gaussianity in the WMAP data that we previously made using directional ...

We adress the problem of spherical deconvolution in a non parametric statistical framework, where both the signal and the operator kernel are subject to error measurements. After a preliminary treatment of the kernel, we apply a thresholding procedure to the signal in a second generation wavelet basis. Under standard assumptions on the kernel, we study the theoritical performance of the resulti...

A novel method for solving optimal tracking control of linear quadratic time-varying systems with differentforms time delays in state and input variables constraints is presented this paper. Using the concepts two powerful wavelets, Legendre Chebyshev we convert problem to a static optimization one. The general from by which one can utilize it other wavelets. proposed has ability solve problems...

We have developed a tractometer: an online evaluation system for tractography processing pipelines. One can now evaluate the end effects on fiber tracts of different acquisition parameters (b-value, number of directions, denoising or not, averaging or not), different local estimation techniques (tensor, q-ball, spherical deconvolution, spherical wavelets) and to different tractography parameter...

Wavelets on the sphere are re-introduced and further developed independently of the original group theoretic formalism, in an alternative and completely equivalent approach, as inverse stereographic projection of wavelets on the plane. These developments are motivated by the interest of the scale-space analysis of the cosmic microwave background (CMB) anisotropies on the sky. In addition to off...

ABSTACT Experimental diiraction pole gure data are thought of as being discretely sampled from pole density functions P(h; r), i.e. even probability density functions deened on the cross-product S 2 S 2 of two unit spheres. Several useful representations of pole density functions exist which are usually related to speciic purposes: (i) series expansion into spherical harmonics, (ii) series expa...