Singularities

Singularity
From Wikipedia, the free encyclopedia

Singularity may refer to any of a variety of concepts.

Mathematics:
Mathematical singularity, a point at which a given mathematical object is not defined

In 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

In algebraic geometry:
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

Science:
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 behaviour cannot be predicted
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
Technological singularity, a theoretical point in the development of a technological civilization
Van Hove singularity in the density of states of a material

Singularity is an interesting concept in a universe where things are
generally self-similar and continuous (as part of a continuum).
Singularities also happen in one's life. A birth, a tragic loss, a very
close call with death, a brush with mental illness, something or an event that changes the rules for ever.