Normal

Normal may refer to:

Look up normal in Wiktionary, the free dictionary.

Geography

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

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.

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

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

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

Normal space (or $T_{4}$ ) spaces, topological spaces characterized by separation of closed sets

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

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