Results 21 to 30 of about 2,524,566 (357)

Algebraic Curve for the SO(6) Sector of AdS/CFT [PDF]

open access: yes, 2004
We construct the general algebraic curve of degree four solving the classical sigma model on ℝ×S5. Up to two loops it coincides with the algebraic curve for the dual sector of scalar operators in SYM, also constructed here.
N. Beisert, V. Kazakov, K. Sakai
semanticscholar   +1 more source

An Improved Curvature Circle Algorithm for Orthogonal Projection onto a Planar Algebraic Curve

open access: yesMathematics, 2019
Point orthogonal projection onto planar algebraic curve plays an important role in computer graphics, computer aided design, computer aided geometric design and other fields. For the case where the test point p is very far from the planar algebraic
Zhinan Wu, Xiaowu Li
doaj   +1 more source

Polynomial differential systems with hyperbolic algebraic limit cycles

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
doaj   +1 more source

On some inequalities for derivatives of algebraic polynomials in unbounded regions with angles

open access: yesMANAS: Journal of Engineering, 2021
In this work we study Bernstein-Walsh-type estimations for the derivative of an arbitrary algebraic polynomial in regions with interior zero and exterior non zero angles.
Cevahir Doğanay Gün
doaj   +1 more source

The Algebraic Curve of Classical Superstrings on AdS5×S5 [PDF]

open access: yes, 2005
We investigate the monodromy of the Lax connection for classical IIB superstrings on AdS5×S5. For any solution of the equations of motion we derive a spectral curve of degree 4+4.
N. Beisert   +4 more
semanticscholar   +1 more source

An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
doaj   +1 more source

Symmetry breaking in quantum curves and super Chern-Simons matrix models

open access: yesJournal of High Energy Physics, 2019
It was known that quantum curves and super Chern-Simons matrix models correspond to each other. From the viewpoint of symmetry, the algebraic curve of genus one, called the del Pezzo curve, enjoys symmetry of the exceptional algebra, while the super ...
Naotaka Kubo   +2 more
doaj   +1 more source

On a class of invariant algebraic curves for Kukles systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
In this paper we give a new upper bound for the degree of a class of transversal to infinity invariant algebraic curves for polynomial Kukles systems of arbitrary degree.
Osvaldo Osuna   +2 more
doaj   +1 more source

EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE

open access: yesForum of Mathematics, Sigma, 2019
A classical construction of Katz gives a purely algebraic construction of Eisenstein–Kronecker series using the Gauß–Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and $p$-adic properties of real-
JOHANNES SPRANG
doaj   +1 more source

The Trefoil Soliton

open access: yesMathematics, 2022
The Kiepert trefoil is an algebraic curve with remarkable geometric and number theoretic properties. Ludwig Kiepert, generalizing ideas due to Serret and Liouville, determined that it could be parametrized by arc length in terms of elliptic functions. In
David A. Singer
doaj   +1 more source

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