Singularity

Singularity or Singular points may refer to:

Sciences

Mathematics

• Mathematical singularity, a point at which a given mathematical object is not defined or not "well-behaved", for example infinite or not differentiable

Geometry

• Singular point of a curve, where the curve is not given by a smooth embedding of a parameter
• Singular point of an algebraic variety, a point where an algebraic variety is not locally flat
• Rational singularity, a concept in singularity theory
• Singularity theory, which deals with these concepts

Complex analysis

• Essential singularity, a singularity near which a function exhibits extreme behavior
• Isolated singularity, a mathematical singularity that has no other singularities close to it
• Movable singularity, a concept in singularity theory
• Removable singularity, a point at which a function is not defined but at which it can be so defined that it is continuous at the singularity

Natural sciences

• Gravitational singularity, a point in spacetime in which gravitational forces cause matter to have an infinite density and zero volume
• Mechanical singularity, a position or configuration of a mechanism or a machine where the subsequent behavior cannot be predicted
• Penrose–Hawking singularity theorems, theorems in general relativity theory about when gravitation produces singularities such as black holes
• Prandtl–Glauert singularity, the point at which a sudden drop in air pressure occurs
• Singularity (climate), a weather phenomenon associated with a specific calendar date
• Van Hove singularity in the density of states of a material

Medicine & Health

• Medical singularity, a theoretical point in the development of a technological civilization where anti-aging medical advancements cause average life expectancy to achieve 'death escape-velocity'.

Technology and economics

• Technological singularity, a theoretical point in the development of a technological civilization
  • The Singularity Is Near, a 2005 non-fiction book by Ray Kurzweil
• Singularity (operating system), an operating system developed by Microsoft Research written in managed code

Literary studies

• Temporal singularity, otherwise knows as a point of divergence, a concept in speculative fiction, usually an item or event triggered by an item that results in divergent narratives, in which the singularity alters the new timeline away from a prior "default" state, leaving behind a parallel universe in which the singularity did not occur. This is the basis of much of the Alternate history genre. It may involve technology in "hard" science fiction, or may involve anything up to or including magic as the basis of the "what if?" scenario.

Entertainment

Movies

• "Singularity" (Star Trek: Enterprise), a 2002 second-season episode of Star Trek: Enterprise
• "Singularity", a first-season episode of Stargate SG-1
• Singularity (film), a 2012 epic adventure film starring Josh Hartnett and Bipasha Basu

Music

• Singularity (Mae album), 2007
• Singularity (Peter Hammill album), 2006
• Singularity (Robby Krieger album), 2010
• Singularity, album by metalcore band Northlane, 2013
• Singularity (song), by Bright Eyes, written by Conor Oberst
• "Singularity", a song from Dutch metal band Textures' 2011 album Dualism
• Singularity, a song by Chicago deathcore band, Born of Osiris from their 2011 album, The Discovery

Literature

• Singularity (William Sleator novel), a 1985 science-fiction novel by William Sleator
• Singularity (Bill DeSmedt novel), a 2004 novel by Bill DeSmedt
• Singularity 7, a graphic novel by Ben Templesmith
• Singularity (audio drama), a Doctor Who audio drama

Video games

• Singularity (video game), a 2010 video game developed by Raven Software
• Endgame: Singularity, a 2005 video game

Other

• Singularity University, an unaccredited school in California, USA, providing supplemental education in technology's impending singularity