Results 31 to 40 of about 3,603,035 (255)
Symmetries and equations of smooth quartic surfaces with many lines [PDF]
Revista matemática iberoamericana, 2017 We provide explicit equations of some smooth complex quartic surfaces with many lines, including all 10 quartics with more than 52 lines. We study the relation between linear automorphisms and some configurations of lines such as twin lines and special ...
Davide Cesare Veniani
semanticscholar +1 more source
cyphar/pure-quartic-solitons: v1.0.0 [PDF]
, 2017 This is the first (and probably final) release of the various pure-quartic-soliton scripts used to analyse the shoebox of the PQS differential equations. This version is the one intended to be cited in papers.
Aleksa Sarai (8194587), Aleksa Sarai
core +1 more source
The 2PM Hamiltonian for binary Kerr to quartic in spin [PDF]
Journal of High Energy Physics, 2021 From the S-matrix of spinning particles, we extract the 2 PM conservative potential for binary spinning black holes up to quartic order in spin operators.
Wei-ming Chen +3 more
semanticscholar +1 more source
Matrix approach to solve polynomial equations
Results in Applied Mathematics, 2023 Polynomials are widely employed to represent numbers derived from mathematical operations in nearly all areas of mathematics. The ability to factor polynomials entirely into linear components allows for a wide range of problem simplifications. This paper
Samir Brahim Belhaouari +2 more
doaj +1 more source
Stability of a Quartic Functional Equation [PDF]
The Scientific World Journal, 2014 We obtain the general solution of the generalized quartic functional equationf(x+my)+f(x-my)=2(7m-9)(m-1)f(x)+2m2(m2-1)f(y)-(m-1)2f(2x)+m2{f(x+y)+f(x-y)}for a fixed positive integerm. We prove the Hyers-Ulam stability for this quartic functional equation by the directed method and the fixed point method on real Banach spaces.
openaire +3 more sources
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +13 more
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The Stability Analysis of A-Quartic Functional Equation [PDF]
, 2021 In this paper, we study the general solution of the functional equation, which is derived from additive–quartic mappings. In addition, we establish the generalized Hyers–Ulam stability of the additive–quartic functional equation in Banach spaces by using
Vediyappan Govindan +5 more
core +1 more source
Some quartic Diophantine equations [PDF]
Pacific Journal of Mathematics, 1968 Der Verf. beweist Sätze über die Lösbarkeit der diophantischen Gleichungen \(x^2 - dy^2 = \pm m\), bzw. \(= \pm 4m\), wo \(x\) oder \(y\) das Quadrat einer ganzen Zahl ist. Dadurch ergänzt er seine früheren Untersuchungen über den Fall \(m=1\) [Proc. Lond. Math. Soc. (3) 16, 153--166 (1966; Zbl 0136.02806) und Addendum, ibid.
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The moduli space of (111)-polarized abelian surfaces is unirational [PDF]
, 2001 We prove that the moduli space $\cal A$11lev of (1,11)-polarized Abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface in P4.
Sorin Popescu +3 more
core +1 more source
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 The classic method of solving the cubic and the quartic equations using Tschirnhaus transformation yields true as well as false solutions. Recently some papers on this topic are published, in which methods are given to get only the true solutions of ...
Raghavendra G. Kulkarni
doaj