We fabricated the multi-stacked graded refractive index (GRIN) porous amorphous germanium (a-Ge) films with linear, quintic, and Gaussian index profiles for their refractive indices at a wavelength of 1.33 μm by e-beam evaporation with a glancing angle deposition technique. The porous a-Ge films with inclined nanocolumnar structures were deposited on Ge substrates at incident vapor flux angles ...

We develop a method for interpolating scattered data on sphere-like surfaces based on a local triangular patch which is constructed from a blend of certain spherical Bernstein-B ezier polynomials introduced recently by Alfeld, Neamtu & Schumaker 2]. The method produces a C 1 interpolant which matches values and derivatives, and is a natural analog of a planar method of Foley & Opitz 6] and Good...

This is the part II of our series of two papers, “Clemens’ conjecture: part I”, “Clemens’ conjecture: part II”. Continuing from part I, in this paper we turn out attention to general quintic threefolds. In a universal quintic threefold X, we construct a family of quasi-regular deformation Bb such that the generic member in this family is non-deviated, but some special member is deviated. By the...

We construct a suitable normalized B-spline representation for C-continuous quintic Powell-Sabin splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction is based on the determination of a set of triangles that must contain a specific set of points. We are able to define control points and cubic control polynomials which are t...

This paper explains about a neural network based control scheme to determine trajectory control parameters i.e. velocity, acceleration and jerk for a industrial robot performing a defined task. The proposed approach is the blend of quintic B-spline and neural network system for prediction of joint control parameters. The proposed approach is applied to a case of three robot trajectory control p...

This paper presents results on generalized public key cryptography with exponentials modulo primes and composite numbers where the mapping is not one-to-one and the uniqueness is achieved by additional side information. Such transformations may be used for oblivious transfer and generate events of specific probabilities. Introduction This paper presents generalized public key transformations th...

In this paper we classify the centers localized at the origin of coordinates, the cyclicity of their Hopf bifurcation and their isochronicity for the polynomial differential systems in R of degree d that in complex notation z = x+ iy can be written as ż = (λ+ i)z + (zz) d−5 2 ( Az4+jz1−j +Bzz + Cz2−jz3+j +Dz ) , where j is either 0 or 1, d is an arbitrary odd positive integer greater than or eq...