نتایج جستجو برای: quintic b

تعداد نتایج: 900630  

Journal: :Computer Aided Geometric Design 2000
Stefanie Hahmann Georges-Pierre Bonneau

A piecewise quintic G spline surface interpolating the vertices of a triangular surface mesh of arbitrary topological type is presented. The surface has an explicit triangular B ezier representation, is a ne invariant and has local support. The twist compatibility problem which arises when joining an even number of polynomial patches G continuously around a common vertex is solved by constructi...

1999
Kristina Garrett Mourad E.H. Ismail Dennis Stanton

We evaluate several integrals involving generating functions of continuous q-Hermite polynomials in two diierent ways. The resulting identities give new proofs and generalizations of the Rogers-Ramanujan identities. Two quintic transformations are given, one of which immediately proves the Rogers-Ramanujan identities without the Jacobi triple product identity. Similar techniques lead to new tra...

2014
Ali Şahin Özlem Özmen

In this paper, the collocation method is performed with quintic B-spline functions on a uniform mesh to obtain the numerical solutions of Fisher’s equation. Crank-Nicolson method is used for time discretization. Von Neumann stability analysis shows that the given method is conditionally stable. In order to observe the effects of reaction and diffusion, four test problems related to pulse distur...

2013
Kostis G. Pigounakis Nickolas S. Sapidis Panagiotis D. Kaklis

Three-dimensional curves are playing an increasing role in ship-hull modeling and many other areas of computer-aided design (CAD). The problem of evaluating and improving the fairness of such a curve is considered and three solutions (algorithms) are proposed representing all major methodologies currently pursued by CAD researchers: local fairing by knot removal, and local/global fairing based ...

Journal: :Computer Aided Geometric Design 2009
Rida T. Farouki Carlotta Giannelli Carla Manni Alessandra Sestini

An adapted orthonormal frame (f1, f2, f3) on a space curve r(t), where f1 = r ′/|r′| is the curve tangent, is rotation–minimizing if its angular velocity satisfies ω · f1 ≡ 0, i.e., the normal–plane vectors f2, f3 exhibit no instantaneous rotation about f1. The simplest space curves with rational rotation–minimizing frames (RRMF curves) form a subset of the quintic spatial Pythagorean–hodograph...

Journal: :Forum of Mathematics, Sigma 2023

Abstract Let $X_4\subset \mathbb {P}^{n+1}$ be a quartic hypersurface of dimension $n\geq 4$ over an infinite field k . We show that if either $X_4$ contains linear subspace $\Lambda $ $h\geq \max \{2,\dim (\Lambda \cap \operatorname {\mathrm {Sing}}(X_4))+2\}$ or has double points along 3$ , smooth -rational point and is otherwise general, then unirational This improves previous results by A. ...

2010
In Goo Cho Dongseung Kang Heejeong Koh Patricia J. Y. Wong

2005
Maria Chiara BRAMBILLA Maria Chiara Brambilla

In a recent paper Douglas and Zhou aim for explicit examples of string theory compactifications that have a different number of generations and can be connected. For this purpose, they provide a list of bundles on a quintic Calabi-Yau threefold. They need to show that (at least some of) these bundles are semistable and leave this as an open question. In this paper we prove the semistability of ...

2009
Edward Lee EDWARD LEE

In this note we search the parameter space of Horrocks-Mumford quintic threefolds and locate a Calabi-Yau threefold which is modular, in the sense that the L-function of its middle-dimensional cohomology is associated to a classical modular form of weight 4 and level 55.

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