The relation between two symmetric integrals

The Relation between Two Symmetric Integrals

a cross-comparative dtudy between two textbook series in terms of the presentation of politeness

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On the Relation between two Rotation Metrics

ar X iv :1 51 2. 04 21 9v 1 [ cs .C V ] 1 4 D ec 2 01 5 Abstract In their work ”Global Optimization through Rotation Space Search” [5], Richard Hartley and Fredrik Kahl introduce a global optimization strategy for problems in geometric computer vision, based on rotation space search using a branch-and-bound algorithm. In its core, Lemma 2 of their publication is the important foundation for a c...

Asymptotic Approximations for Symmetric Elliptic Integrals

Abstract. Symmetric elliptic integrals, which have been used as replacements for Legendre’s integrals in recent integral tables and computer codes, are homogeneous functions of three or four variables. When some of the variables are much larger than the others, asymptotic approximations with error bounds are presented. In most cases they are derived from a uniform approximation to the integrand...

Asymptotic Expansions of Symmetric Standard Elliptic Integrals

Symmetric standard elliptic integrals are considered when one of their parameters is larger than the others. Distributional approach is used for deriving five convergent expansions of these integrals in inverse powers of the respective five possible asymptotic parameters. Four of these expansions involve also a logarithmic term in the asymptotic variable. Coefficients of these expansions are ob...