𝔖 Bobbio Scriptorium
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Iteration in the disk and the ball: a survey of the role of hyperbolic geometry

✍ Scribed by Pietro Poggi-Corradini


Book ID
107698063
Publisher
SP Birkhäuser Verlag Basel
Year
2011
Tongue
English
Weight
292 KB
Volume
1
Category
Article
ISSN
1664-2368

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The generic Mobius transformation of the complex open unit disc induces a binary operation in the disc, called the Mobius addition. Following its introduction, ẗhe extension of the Mobius addition to the ball of any real inner product space änd the scalar multiplication that it admits are presented,

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✍ A.A. Ungar 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 813 KB

Hyperbolic trigonometry is developed and illustrated in this article along lines pa+lel to Euclidean trigonometry by exposing the hyperbolic trigonometric law of cosines and of sines in the Poincarb ball model of n-dimensional hyperbolic geometry, as well as their application. The Poincarb ball mode