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

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

Entertainment

• "Singularity" (Star Trek: Enterprise), a 2002 second-season episode of Star Trek: Enterprise
• "Singularity", a first-season episode of Stargate SG-1
• Singularity (Mae album), 2007
• Singularity (Peter Hammill album), 2006
• Singularity (Robby Krieger album), 2010
• Singularity (William Sleator novel), a 1985 science-fiction novel by William Sleator
• Singularity (Bill DeSmedt novel), a 2004 novel by Bill DeSmedt
• Singularity (audio drama), a Doctor Who audio drama
• Singularity (video game), a 2010 video game developed by Raven Software
• Singularity 7, a graphic novel by Ben Templesmith
• Singularity (film), a 2012 epic adventure film starring Josh Hartnett and Bipasha Basu
• Singularity (song), by Bright Eyes, written by Conor Oberst
• Endgame: Singularity, a 2005 video game licensed under GPL

Other

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