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Sphere - Shape, Definition, Formulas, Properties, Examples
WebFeb 15, 2014 · The extended hard-sphere model does require more information, namely the values of zero-density viscosity for a given temperature. For highly viscous fluids this … Webcontinuous sphere Definitions for Extended (adjective) expressing one thing in terms normally used for another (adjective) having considerable extent (adjective) lasting for a … top crossfit equipment brands
Extended Complex Plane -- from Wolfram MathWorld
The extended complex numbers consist of the complex numbers together with . The set of extended complex numbers may be written as , and is often denoted by adding some decoration to the letter , such as The notation has also seen use, but as this notation is also used for the punctured plane , it can lead to ambiguity. In mathematics, the Riemann sphere, named after Bernhard Riemann, is a model of the extended complex plane: the complex plane plus one point at infinity. This extended plane represents the extended complex numbers, that is, the complex numbers plus a value $${\displaystyle \infty }$$ for … See more The extended complex numbers consist of the complex numbers $${\displaystyle \mathbf {C} }$$ together with $${\displaystyle \infty }$$. The set of extended complex numbers may be written as See more The Riemann sphere can be visualized as the unit sphere $${\displaystyle x^{2}+y^{2}+z^{2}=1}$$ in the three-dimensional real … See more The study of any mathematical object is aided by an understanding of its group of automorphisms, meaning the maps from the object to itself … See more • "Riemann sphere", Encyclopedia of Mathematics, EMS Press, 2001 [1994] • Moebius Transformations Revealed, by Douglas N. Arnold and Jonathan Rogness (a video by two University of Minnesota professors explaining and illustrating Möbius … See more As a one-dimensional complex manifold, the Riemann sphere can be described by two charts, both with domain equal to the complex number plane $${\displaystyle \mathbf {C} }$$. … See more A Riemann surface does not come equipped with any particular Riemannian metric. The Riemann surface's conformal structure does, … See more • Conformal geometry • Cross-ratio • Dessin d'enfant • Directed infinity • Hopf bundle • Möbius plane See more http://en.kremlin.ru/events/president/news/70905 top cut events