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Kurven – Verstehen – Entwerfen – Berechnen – Darstellen

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ISBN: 9783731506621 Year: Pages: vii, 152 p. DOI: 10.5445/KSP/1000069243 Language: GERMAN
Publisher: KIT Scientific Publishing
Subject: Computer Science
Added to DOAB on : 2019-07-28 18:37:01
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The book is intended for a wide range of readers and contains an introduction to various practically relevant aspects of curves with many illustrations: It offers a treatment of the differential geometric basics, of Bézier and B-spline representations, of rational and algebraic curves, and introduces the reader to some special curves, which are important for applications or historical reasons. Proofs requiring more in-depth mathematical knowledge are dispensed with.

The method of densities for non-isotropic Boolean models

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ISBN: 9783731503293 Year: Pages: 122 p. DOI: 10.5445/KSP/1000045101 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:01:58
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This book deals with the Boolean model, a basic model of stochastic geometry for the description of porous structures like the pore space in sand stone. The main result is a formula which gives in two and three dimensions a series representation of the most important model parameter, the intensity, using densities of so-called harmonic intrinsic volumes, which are new observable geometric quantities.

Palm theory, mass transports and ergodic theory for group-stationary processes

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ISBN: 9783866446694 Year: Pages: IV , 145 p. DOI: 10.5445/KSP/1000022561 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Mathematics
Added to DOAB on : 2019-07-30 20:02:01
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This work is about random measures stationary with respect to a possibly non-transitive group action. It contains chapters on Palm Theory, the Mass-Transport Principle and Ergodic Theory for such random measures. The thesis ends with discussions of several new models in Stochastic Geometry (Cox Delauney mosaics, isometry stationary random partitions on Riemannian manifolds). These make crucial use of the previously developed techniques and objects.

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