hyperbolic singularity

  • 1Hyperbolic growth — When a quantity grows towards a singularity under a finite variation it is said to undergo hyperbolic growth. This growth is created by non linear positive feedback mechanisms. Hyperbolic growth is highly nonlinear and it is a stronger form of… …

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  • 2Hyperbolic quaternion — In mathematics, a hyperbolic quaternion is a mathematical concept first suggested by Alexander MacFarlane in 1891 in a speech to the American Association for the Advancement of Science. The idea was criticized for its failure to conform to… …

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  • 3Technological singularity — The technological singularity is a theoretical future point of unprecedented technological progress, caused in part by the ability of machines to improve themselves using artificial intelligence. [Harvtxt|Singularity Institute for Artificial… …

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  • 4Mathematical singularity — In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point of an exceptional set where it fails to be well behaved in some particular way, such as differentiability. See Singularity theory… …

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  • 5Penrose-Hawking singularity theorems — The Penrose Hawking singularity theorems are a set of results in general relativity which attempt to answer the question of whether gravity is necessarily singular. These theorems answer this question affirmatively for matter satisfying… …

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  • 6Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …

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  • 7Numerical relativity — is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems. To this end, supercomputers are often employed to study black holes, gravitational waves, neutron stars and many other… …

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  • 8Accelerating change — In futures studies and the history of technology, accelerating change is an increase in the rate of technological (and sometimes social and cultural) progress throughout history, which may suggest faster and more profound change in the future.… …

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  • 9Ultimate fate of the universe — The ultimate fate of the universe is a topic in physical cosmology. Many possible fates are predicted by rival scientific theories, including futures of both finite and infinite duration. Once the notion that the universe started with a Big Bang… …

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  • 10Roman surface — The Roman surface (so called because Jakob Steiner was in Rome when he thought of it) is a self intersecting mapping of the real projective plane into three dimensional space, with an unusually high degree of symmetry. The mapping is not an… …

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