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2012
In this chapter we will construct examples of positive elliptic-elliptic RE, i.e. orbits with two elliptic rotations on the sphere \( {\text{S}}^{ 3} \). The first example is that of a 3-body problem in which 3 bodies of equal masses are at the vertices of an equilateral triangle, which has two rotations of the same frequency.
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In this chapter we will construct examples of positive elliptic-elliptic RE, i.e. orbits with two elliptic rotations on the sphere \( {\text{S}}^{ 3} \). The first example is that of a 3-body problem in which 3 bodies of equal masses are at the vertices of an equilateral triangle, which has two rotations of the same frequency.
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Elliptic and Elliptic-Parabolic Type
1964We consider the linear partial differential equation (II-1.1) $$ Du \equiv Au + au = f\,\,where\,Au \equiv \sum\limits_{i,k = 1}^n {{a_{ik}}{u_{{x_i}{x_k}}} + \sum\limits_{i = 1}^n {{a_i}{u_{{x_i}}}} } $$ (1.1) in the normal domain D of R n and x = (x 1, x 2,... , x n ). Let $$ {a_{ik}}(x),{a_i}(x),a(x),f(x)\,\varepsilon \,{C^0}\,\,in\,\,\
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Elliptic Functions and Elliptic Curves
1973A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach provides geometers with the opportunity to acquaint themselves with aspects of their subject virtually ignored by other texts.
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Numerical calculation of elliptic integrals and elliptic functions
Numerische Mathematik, 1965Methoden (unter Benutzung der Landen- und Gauß-Transformation) und ALGOL 60-Programme zur Berechnung elliptischer Integrale 1., 2. und 3. Art für reelles Argument und 1. und 2. Art für komplexes Argument, wobei auf möglichst rasche Berechnung im Bereich \(0.001\leq k' \leq 1000\) Wert gelegt wird.
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Numerical evaluation of iterated integrals related to elliptic Feynman integrals
Computer Physics Communications, 2021Moritz Walden, Weinzierl Stefan
exaly