Results 71 to 80 of about 2,710 (220)
Perturbation of quadrics [PDF]
The aim of this paper is to study what happens when a slight perturbation affects the coefficients of a quadratic equation defining a variety (a quadric) in R^n.
Magret Planas, Maria dels Dolors +2 more
core +2 more sources
A Note on Rational Lagrange Polynomials for CAGD Applications and Isogeometric Analysis
While the established theory of computer-aided geometric design (CAGD) suggests that rational Bernstein–Bézier polynomials associated with control points can be used to accurately represent conics and quadrics, this paper shows that the same goal can be ...
Christopher Provatidis
doaj +1 more source
Application of an RBF blending interpolation method to problems with shocks
Radial basis functions (RBF) have become an area of research in recent years, especially in the use of solving partial differential equations (PDE). Radial basis functions have an impressive capability in interpolating scattered data, even for data with
Michael Harris +2 more
doaj +1 more source
This study proposes an analytical formulation in complex coordinates to synthesise three‐dimensional single‐shell dielectric lens surfaces. An exact formulation based on geometrical optics is developed, and the synthesis problem is modelled as a non ...
Aline Rocha deAssis +2 more
doaj +1 more source
Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Abstract Mercury's weak intrinsic magnetic field forms a small magnetosphere and thus a bow shock that decelerates the supermagnetosonic solar wind and reflects particles upstream, forming a foreshock in the quasi‐parallel region. This region is populated by backstreaming ions and electrons and associated wave activity.
Kristin Pump +6 more
wiley +1 more source
Isometric immersions into three‐dimensional unimodular metric Lie groups
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source
Inverse Stereographic Projection of Fibonacci Points onto the Quadric Surfaces
In the present work, the inverse stereographic projection of Fibonacci points onto quadric surfaces of revolution is investigated. The construction of Fibonacci points from Fibonacci numbers, together with the one-to-one and invertible nature of ...
Barış Ateş
doaj +1 more source
On superosculating quadric surfaces [PDF]
In trying to determine a surface of the second order F(x, y, z) = 0 having with a given surface i?, whose coordinates are given as functions of u and v, a contact of the third order, ten equations are obtained, viz., F and all the first, second and third derivatives of F with respect to u and v = 0.
openaire +1 more source
Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley +1 more source

