Normal

Normal may refer to:

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Geography

• Normal, Alabama
• Normal, Illinois
• Normal, Indiana
• Normal Station, Memphis

People

• Henry Normal an English comedian

Psychology, education and social sciences

• Normality (behavior), conformance to an average
• Norm (social), expected patterns of behavior studied within the context of sociology
• Normal goods, a concept used in economics
• Normal backwardation, a stock market term
• Norm, a statistical concept in psychometrics
• Normal school, a school created to train high school graduates to be teachers

Chemistry and Technology

• Normal concentration, a measure of concentration for a chemical in a solution
• Normal lens (photography), a lens of moderate focal length

Mathematics

There are many unrelated notions of "normality" in mathematics. Non-mathematical subjects very frequently refer to Normal (geometry) and Normal Distribution; see also the disambiguation pages for Normal form and Normalization.

Algebra and Number Theory

• Normal subgroup, a subgroup invariant under conjugation
• Normal extensions (or quasi-Galois) field extensions, splitting fields for a set of polynomials over the base field
• Normal domain (integrally closed domain), a ring integrally closed in its fraction field
  • Normal ring, a reduced ring whose localizations at prime ideals are integrally closed domains
  • Normal scheme, an algebraic variety or scheme that meets certain conditions
• Normal variety, a projective variety embedded by a complete linear system, as in a rational normal scroll (unrelated to the concept of normal scheme above)
• Normal basis (of a Galois extension), used heavily in cryptography
• Normal order of an arithmetic function, a type of asymptotic behavior useful in number theory
• Normal degree, a rational curve on a surface that meets certain conditions

Analysis

• Normal number, a real number with a "uniform" distribution of digits
• Normal number (computing), a floating-point number within the balanced range supported by a given format (unrelated to the previous notion)
• Normal operator, an operator that commutes with its Hermitian adjoint
  • Normal matrix, a complex square matrix that meets certain conditions
• Normal modes of vibration in an oscillating system
• Normal family, a pre-compact family of continuous functions

Geometry

• Normal (geometry), a vector perpendicular to a surface (normal vector)
• Normal bundle, a term related to the preceding concept
• Normal cone of a subscheme in algebraic geometry
• Normal coordinates in differential geometry, local coordinates obtained from the exponential map (Riemannian geometry)
• Normal invariants in geometric topology
• Normal polytopes in polyhedral geometry and computational commutative algebra

Logic and Foundations

• Normal functions in set theory
• Normal measures in set theory

Mathematical Physics

• Normal order or Wick order in Quantum Field Theory

Probability and Statistics

• Normal distribution, the Gaussian continuous probability distribution

Topology

• Normal space (or ) spaces, topological spaces characterized by separation of closed sets

Film

• Normal (2003 film), starring Jessica Lange and Tom Wilkinson
• Normal (2007 film), starring Carrie-Anne Moss, Kevin Zegers, Callum Keith Rennie and Andrew Airlie
• Normal (2009 film), an adaptation of Anthony Neilson's 1991 play Normal: The Düsseldorf Ripper
• Normal!, a 2011 Algerian film

Music

• The Normals (New Orleans band) 1970s punk band
• Normal (album), a 2005 album by Ron "Bumblefoot" Thal
• The Normals, a Christian alternative rock band from Illinois formed in 1998

Transport

• Metro Normal, a rapid transit railway station in the Mexico City Metro system