mathematical singularity

mathematical singularity
математическая сингулярность

English-russian dictionary of physics. 2013.

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  • Mathematical 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… …   Wikipedia

  • Singularity — may refer to any of a variety of concepts.Mathematics:* Mathematical singularity, a point at which a given mathematical object is not definedIn complex analysis:* Essential singularity, a singularity near which a function exhibits extreme… …   Wikipedia

  • Singularity theory — For other mathematical uses, see Mathematical singularity. For non mathematical uses, see Gravitational singularity. In mathematics, singularity theory is the study of the failure of manifold structure. A loop of string can serve as an example of …   Wikipedia

  • singularity — mid 14c., “singleness of aim or purpose,” from O.Fr. singularité (12c.) or directly from L.L. singularitas, from singularis (see SINGULAR (Cf. singular)). Meaning “fact of being different from others” is c.1500. Mathematical sense of… …   Etymology dictionary

  • singularity — /sing gyeuh lar i tee/, n., pl. singularities for 2 4. 1. the state, fact, or quality of being singular. 2. a singular, unusual, or unique quality; peculiarity. 3. Math. See singular point. 4. Astron. (in general relativity) the mathematical… …   Universalium

  • singularity — sin•gu•lar•i•ty [[t]ˌsɪŋ gyəˈlær ɪ ti[/t]] n. pl. ties 1) the state, fact, or quality of being singular 2) a singular, unusual, or unique quality or thing; peculiarity 3) math. a point at which a mathematical function of real or complex variables …   From formal English to slang

  • Mechanical singularity — In engineering, a mechanical singularity is a position or configuration of a mechanism or a machine where the subsequent behaviour cannot be predicted, or the forces or other physical quantities involved become infinite or nondeterministic. When… …   Wikipedia

  • Gravitational singularity — General relativity Introduction Mathematical formulation Resources Fundamental concepts …   Wikipedia

  • Technological 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… …   Wikipedia

  • Naked singularity — In general relativity, a naked singularity is a gravitational singularity, without an event horizon. In a black hole, there is a region around the singularity, the event horizon, where the gravitational force of the singularity is strong enough… …   Wikipedia

  • Ring singularity — In general relativity the gravitational singularity at the center of a rotating black hole (a Kerr black hole ) is supposed to form a circle rather than a point. This is often referred to as a ring singularity.Description of a ring… …   Wikipedia


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