Definition, Betydelse & Synonymer | Engelska ordet SINGULARITY

Definition av SINGULARITY

1. (matematik, fysik) singularitet

Exempel på hur man kan använda SINGULARITY i en mening

• In general relativity, a naked singularity is a hypothetical gravitational singularity without an event horizon.
• He has written books on health technology, artificial intelligence (AI), transhumanism, the technological singularity, and futurism.
• Mathematical singularity, a point at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable.
• He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory of dynamical systems, algebra, catastrophe theory, topology, real algebraic geometry, symplectic geometry, differential equations, classical mechanics, differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem.
• He was the first wide-scale popularizer of the technological singularity concept and among the first authors to present a fictional "cyberspace".
• Picard's great theorem states that an analytic function with an essential singularity takes every value infinitely often, with perhaps one exception, in any neighborhood of the singularity.
• Carroll, who specializes in theoretical cosmology and field theory, explains two competing explanations for the origins of the singularity, which is the center of a space in which a characteristic is limitless (one example is the singularity of a black hole, where gravity is the characteristic that becomes infinite).
• In law, it is a term of art used to identify a legal classification that exists independently of other categorizations, either because of its singularity or due to the specific creation of an entitlement or obligation.
• In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as by lacking differentiability or analyticity.
• A gravitational singularity, spacetime singularity or simply singularity is a condition in which gravity is predicted to be so intense that spacetime itself would break down catastrophically.
• It encompasses the Xeelee Sequence, which consists of nine novels (including the Destiny's Children trilogy and Vengeance/Redemption duology that is set in alternate timeline), plus three volumes collecting the 52 short pieces (short stories and novellas) in the series, all of which fit into a single timeline stretching from the Big Bang singularity of the past to his Timelike Infinity (1993) singularity of the future.
• It is a singular space (the equator is a singularity), but away from the singularities, it has constant negative Gaussian curvature and therefore is locally isometric to a hyperbolic plane.
• He made his reputation as a topologist, moving on to aspects of what would be called singularity theory; he became world-famous among the wider academic community and the educated general public for one aspect of this latter interest, his work as founder of catastrophe theory (later developed by Christopher Zeeman).
• The apocalypse event may be climatic, such as runaway climate change; astronomical, an impact event; destructive, nuclear holocaust or resource depletion; medical, a pandemic, whether natural or human-caused; end time, such as the Last Judgment, Second Coming or Ragnarök; or any other scenario in which the outcome is apocalyptic, such as a zombie apocalypse, AI takeover, technological singularity, dysgenics or alien invasion.
• The category essential singularity is a "left-over" or default group of isolated singularities that are especially unmanageable: by definition they fit into neither of the other two categories of singularity that may be dealt with in some manner – removable singularities and poles.
• In complex analysis, a removable singularity of a holomorphic function is a point at which the function is undefined, but it is possible to redefine the function at that point in such a way that the resulting function is regular in a neighbourhood of that point.
• Jonathan Swift said that "with a singularity scarce to be justified he carried away more Greek, Latin and philosophy than properly became a person of his rank".
• Weakly interacting massive particles (WIMPs) or dark matter and dark energy may have appeared and been the catalyst for the expansion of the singularity.
• The possibility of sudden rip singularity occurs only for hypothetical matter (phantom energy) with implausible physical properties.
• Residue (complex analysis), complex number describing the behavior of line integrals of a meromorphic function around a singularity.

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