singularity of function

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• 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 — 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 function — Singularity functions or singularity brackets are a notation used to describe discontinuous functions.langle x a angle^n = egin{cases}delta (x a) : n= 2delta(x a) : n= 1 : nge0, x …   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 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 —    by Jon Baldwin   In astrophysics a gravitational or space time singularity refers to a point of infinite density and absolute uncertainty in which all laws collapse and from which anything can emerge. At the beginning of the Big Bang the… …   The Baudrillard dictionary

• singularity — noun (plural ties) Date: 14th century 1. something that is singular: as a. a separate unit b. unusual or distinctive manner or behavior ; peculiarity 2. the quality or state of being singular 3. a point at which the derivative of a given function …   New Collegiate Dictionary

• singularity — noun (plural singularities) 1》 the state, fact, or quality of being singular. 2》 Physics & Mathematics a point at which a function takes an infinite value, especially a point of infinite density at the centre of a black hole …   English new terms dictionary

• 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

• singularity — n. (pl. ies) 1 the state or condition of being singular. 2 an odd trait or peculiarity. 3 Physics & Math. a point at which a function takes an infinite value, esp. in space time when matter is infinitely dense. Etymology: ME f. OF… …   Useful english dictionary

• Isolated singularity — In complex analysis, a branch of mathematics, an isolated singularity is one that has no other singularities close to it.Formally, a complex number z is an isolated singularity of a function f if there exists an open disk D centered at z such… …   Wikipedia