scispace - formally typeset
Search or ask a question
Topic

Quintic function

About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this article, Crilly et al. gave a Volumetric proof of the Sum of Squares formula, and showed that it can be computed in polynomial time.
Abstract: References 1. Ian Anderson, Sums of squares and binomial coefficients, Math. Gaz. 65 (June 1981) pp. 87-92. 2. D. R. Woodall, Finite sums, matrices, and induction, Math. Gaz. 65 (June 1981) pp. 92-103. 3. D. Desbrow, Sums of integer powers, Math. Gaz. 66 (June 1982) pp.97-100. 4. David Singmaster, Sums of squares and pyramidal numbers, Math. Gaz. 66 (June 1982) pp. 100-104. 5. D. Desbrow, Volumetric proof of the sum of squares formula, Math. Gaz. 83 (July 1999) pp. 256-257. TONY CRILLY 10 Lemsford Road, St Albans ALl 3PB e-mail: t.crilly@btinternet.com

11 citations

Journal ArticleDOI
TL;DR: An axisymmetric viscous flow, generated by two large parallel plates slowly approaching each other is investigated and the steady nonlinear governing equations are converted into a fourth-order nonlinear differential equation using integrability condition.
Abstract: An axisymmetric viscous flow, generated by two large parallel plates slowly approaching each other is investigated. The steady nonlinear governing equations are converted into a fourth-order nonlinear differential equation using integrability condition. The resulting nonlinear boundary value problem is solved using quintic B-spline collocation and sinc-collocation methods. The approach consists of reducing the problem to a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the techniques and a comparison is made with existing results in the literature.

11 citations

Posted Content
TL;DR: In this article, an almost sure local well-posedness result for the periodic 3D quintic nonlinear Schrodinger equation in the supercritical regime has been proved, that is, below the critical space (H^1(mathbb T^3) ).
Abstract: In this paper we prove an almost sure local well-posedness result for the periodic 3D quintic nonlinear Schrodinger equation in the supercritical regime, that is below the critical space $H^1(\mathbb T^3)$.

11 citations

Journal ArticleDOI
TL;DR: In this article, the moduli-dependent massive tower of Kaluza-Klein states for the one-parameter family of quintic Calabi-Yau manifolds was obtained.
Abstract: We use numerical methods to obtain moduli-dependent Calabi-Yau metrics, and from them, the moduli-dependent massive tower of Kaluza-Klein states for the one-parameter family of quintic Calabi-Yau manifolds. We then compute geodesic distances in their K\"ahler and complex structure moduli space using exact expressions from mirror symmetry, approximate expressions, and numerical methods, and we compare the results. Finally, we fit the moduli dependence of the massive spectrum to the geodesic distance to obtain the rate at which states become exponentially light. The result is indeed of order 1, as suggested by the swampland distance conjecture. We also observe level crossing in the eigenvalue spectrum and find that states in small irreducible representations of the symmetry group tend to become lighter than states in larger irreducible representations.

11 citations

Journal ArticleDOI
TL;DR: The scalar-vector representation is used to derive a simple algorithm to obtain the roots of a quadratic quaternion polynomial, which is illustrated by computed examples, and used to analyze the root structure of quadratically quaternions polynomials that generate quintic curves with rational rotation-minimizing frames (RRMF curves).

11 citations


Network Information
Related Topics (5)
Differential equation
88K papers, 2M citations
88% related
Eigenvalues and eigenvectors
51.7K papers, 1.1M citations
87% related
Boundary value problem
145.3K papers, 2.7M citations
86% related
Partial differential equation
70.8K papers, 1.6M citations
85% related
Bounded function
77.2K papers, 1.3M citations
85% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202397
2022254
2021109
2020104
201993
201893