Titlebook: Quadratic Differentials; Kurt Strebel Book 1984 Springer-Verlag Berlin Heidelberg 1984 Derivative.Extremale quasikonforme Abbildung.Meromo

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Local Behaviour of the Trajectories and the ,-Metric,ncer [1] and Jenkins [3] is based on the theory of differential equations. Here, special conformal parameters will be introduced in terms of which the representation of the quadratic differential becomes particularly simple. This is achieved by computing the integral . and expressing it in simple te

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Trajectory Structure in the Large,.., of the horizontal intervals in the .-plane. We are now going to represent the trajectory . through a regular point .. in the large by this mapping. In this manner, we get . in its natural parametrization; moreover, as .. will be defined in a neighborhood of ., it also describes the relation betw

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Quadratic Differentials with Closed Trajectories,non overlapping punctured disks .′ and .″, with punctures at . =0 and . = ∞ respectively, which do not contain . = −1, have to be chosen in such a way that their reduced moduli .′ and .″ maximize the sum ...′ + .″. The solution (“Extremalgebiete des speziellen Modulsatzes”, pg 33) is given by a quad

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Quadratic Differentials of General Type,eant with respect to the local parameters . on .; it is evidently independent of the choice of the local parameter. The infimum of the .-lengths for all loops . in the free homotopy class of . is denoted by ..

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Book 19972nd editionof the methods discussed are state-of-the-art approaches to topics such as linear and non-linear regression models, robust and smooth regression methods, survival analysis, multivariate analysis, tree-based methods, time series, spatial statistics, and classification. This second edition is intended