# singularity

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**Beyond Singularity**— infobox Book | name = Beyond Singularity title orig = translator = image caption = author = Edited by Jack Dann and Gardner Dozois illustrator = cover artist = country = United States language = English series = Jack Dann and Gardner Dozois Ace… …72

**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… …73

**du Val singularity**— In algebraic geometry, a du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is a singularity of a surface that is a double cover branched over a curve with an A D E singularity. They are… …74

**Cusp (singularity)**— An ordinary cusp on the curve x3–y2=0 In the mathematical theory of singularities a cusp is a type of singular point of a curve. Cusps are local singularities in that they are not formed by self intersection points of the curve. The plane curve… …75

**Prandtl–Glauert singularity**— F/A 18 with vapor cone The Prandtl–Glauert singularity is the prediction by the Prandtl–Glauert transformation that infinite pressure conditions would be experienced by an aircraft as it approaches the speed of sound. Because it is invalid to… …76

**Rational singularity**— In mathematics, more particularly in the field of algebraic geometry, a scheme X has rational singularities, if it is normal, of finite type over a field of characteristic zero, and there exists a proper birational map :f : Y ightarrow X from a… …77

**Panopticon Singularity**— The Panopticon Singularity was first described by Charles Stross in [http://www.antipope.org/charlie/rant/panopticon essay.html an essay] originally written for the Whole Earth Review s 111th issue, where he describes it as a police state… …78

**Movable singularity**— Solutions to the differential equation subject to the initial conditions y(0)=0, 1 and 2 (red, green and blue curves respectively). The positions of the moving singularity at x= 0, 1 and 4 is indicated by the vertical lines. In the theory of… …79

**Van Hove singularity**— A Van Hove singularity is a kink in the density of states (DOS) of a solid. The wavevectors at which Van Hove singularities occur are often referred to as critical points of the Brillouin zone. (The critical point found in phase diagrams is a… …80

**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… …