A (holomorphic) automorphism of an Enriques surface S is said to be numerically reflective if it acts on the cohomology group H(S,Q) by reflection. We shall show that there are two lattice-types of numerically reflective involutions, and describe one type geometrically in terms of curves of genus 2 and Göpel subgroups of their Jacobians. An automorphism of an Enriques surface S is numerically t...

Historically, much of the theory and practice in nonlinear optimization has revolved around the quadratic models. Though quadratic functions are nonlinear polynomials, they are well structured and easy to deal with. Limitations of the quadratics, however, become increasingly binding as higher degree nonlinearity is imperative in modern applications of optimization. In the recent years, one obse...

In this paper the number of Fq-isomorphism classes of Jacobi quartic curves, i.e., the number of Jacobi quartic curves with distinct jinvariants, over finite field Fq is enumerated.

in  this paper, we investigate the generalizedhyers-ulam-rassias stability for the quartic, cubic and additivefunctional equation$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$ ($k in mathbb{z}-{0,pm1}$) in $p-$banach spaces.

The problem of interpolating scattered 3D data by a geometrically smooth surface is considered. A completely local method is proposed, based on employing degenerate triangular Bernstein{B ezier patches. An analysis of these patches is given and some numerical experiments with quartic and quintic patches are presented. Supported by the Netherlands Foundation of Mathematics (SMC) and the Netherla...

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary differential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate. Received: 2 February 2014, Revised: 4 May 201...

The motion of a charged particle in straight magnetic field B=B(y)z? with constant perpendicular gradient is solved exactly terms elliptic functions and integrals. can be decomposed periodic along the y-axis drift x-axis. described as trapped symmetric quartic potential y. canonical transformation from coordinates (y,Py) to action–angle (?,J) explicitly generating function S(?,J) that expressed...

in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.