Singularity

From Wikipedia, the free encyclopedia

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

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.

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