Normal(s) or The Normal(s) may refer to:

Film and television

* ''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 * ''The Normals'' (film), a 2012 American comedy film * "Normal" (''New Girl''), an episode of the TV series

Mathematics

Normal (geometry) In geometry, a normal is an object (e.g. a line, ray, or vector) that is perpendicular to a given object. For example, the normal line to a plane curve at a given point is the infinite straight line perpendicular to the tangent line to the ...

, an object such as a line or vector that is perpendicular to a given object *

Normal basis In mathematics, specifically the algebraic theory of fields, a normal basis is a special kind of basis for Galois extensions of finite degree, characterised as forming a single orbit for the Galois group. The normal basis theorem states that any ...

(of a Galois extension), used heavily in cryptography *

Normal bundle In differential geometry, a field of mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or immersion). Definition Riemannian manifold Let (M,g) be a Riemannian ...

Normal cone In algebraic geometry, the normal cone of a subscheme of a scheme is a scheme analogous to the normal bundle or tubular neighborhood in differential geometry. Definition The normal cone or C_ of an embedding , defined by some sheaf of ideals ''I ...

, of a subscheme in algebraic geometry *

Normal coordinates In differential geometry, normal coordinates at a point ''p'' in a differentiable manifold equipped with a torsion tensor, symmetric affine connection are a local coordinate system in a neighborhood (mathematics), neighborhood of ''p'' obtained by ...

, in differential geometry, local coordinates obtained from the exponential map (Riemannian geometry) *

Normal distribution In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable. The general form of its probability density function is f(x) = \frac ...

, the Gaussian continuous probability distribution * Normal equations, describing the solution of the

linear least squares Linear least squares (LLS) is the least squares approximation of linear functions to data. It is a set of formulations for solving statistical problems involved in linear regression, including variants for ordinary (unweighted), weighted, and ...

problem *

Normal extension In abstract algebra, a normal extension is an Algebraic extension, algebraic field extension ''L''/''K'' for which every irreducible polynomial over ''K'' that has a zero of a function, root in ''L'' splits into linear factors over ''L''. This is ...

s (or quasi-Galois), field extensions, splitting fields for a set of polynomials over the base field *

Normal family In mathematics, with special application to complex analysis, a ''normal family'' is a pre-compact subset of the space of continuous functions. Informally, this means that the functions in the family are not widely spread out, but rather stick tog ...

, a pre-compact family of continuous functions *

Normal function In axiomatic set theory, a function is called normal (or a normal function) if it is continuous (with respect to the order topology) and strictly monotonically increasing. This is equivalent to the following two conditions: # For every limit o ...

, in set theory *

Normal invariant In mathematics, a normal map is a concept in geometric topology due to William Browder which is of fundamental importance in surgery theory. Given a Poincaré complex ''X'' (more geometrically a Poincaré space), a normal map on ''X'' endows th ...

s, in geometric topology *

Normal matrix In mathematics, a complex square matrix is normal if it commutes with its conjugate transpose : :A \text \iff A^*A = AA^* . The concept of normal matrices can be extended to normal operators on infinite-dimensional normed spaces and to nor ...

, a matrix that commutes with its conjugate transpose * Normal measure, in set theory *

Normal number In mathematics, a real number is said to be simply normal in an integer base b if its infinite sequence of digits is distributed uniformly in the sense that each of the b digit values has the same natural density 1/b. A number is said to ...

, a real number with a "uniform" distribution of digits *

Normal operator In mathematics, especially functional analysis, a normal operator on a complex number, complex Hilbert space H is a continuous function (topology), continuous linear operator N\colon H\rightarrow H that commutator, commutes with its Hermitian adjo ...

, an operator that commutes with its Hermitian adjoint *

Normal order of an arithmetic function In number theory, a normal order of an arithmetic function is some simpler or better-understood function which "usually" takes the same or closely approximate values. Let ''f'' be a function on the natural numbers. We say that ''g'' is a normal o ...

, a type of asymptotic behavior useful in number theory *

Normal polytope In mathematics, specifically in combinatorial commutative algebra, a convex lattice polytope ''P'' is called normal if it has the following property: given any positive integer ''n'', every lattice point of the dilation ''nP'', obtained from ''P' ...

s, in polyhedral geometry and computational commutative algebra *

Normal ring In commutative algebra, an integrally closed domain ''A'' is an integral domain whose integral closure in its field of fractions is ''A'' itself. Spelled out, this means that if ''x'' is an element of the field of fractions of ''A'' that is a roo ...

, a reduced ring whose localizations at prime ideals are integrally closed domains *

Normal scheme In algebraic geometry, an algebraic variety or scheme ''X'' is normal if it is normal at every point, meaning that the local ring at the point is an integrally closed domain. An affine variety ''X'' (understood to be irreducible) is normal if a ...

, a scheme whose local rings are normal domains *

Normal sequence (disambiguation) In mathematics, the term ''normal sequence'' has multiple meanings, depending on the area of specialty. In general, it is a sequence with "nice" properties. * In set theory, a normal sequence is one that is continuous and strictly increasing. * ...

, either a normal function or a representation of a normal number *

Normal space Normal(s) or The Normal(s) may refer to: Film and television * Normal (2003 film), ''Normal'' (2003 film), starring Jessica Lange and Tom Wilkinson * Normal (2007 film), ''Normal'' (2007 film), starring Carrie-Anne Moss, Kevin Zegers, Callum Keit ...

(or

T_4

), spaces, topological spaces characterized by separation of closed sets *

Normal subgroup In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a part. In other words, a subgroup N of the group ...

, a subgroup invariant under conjugation

Music

* ''Normal'' (album), a 2005 album by Ron "Bumblefoot" Thal * "Normal" (Alonzo song) * "Normal" (Eminem song) * "Normal", a music video by Gucci Mane * "Normal", a song by Porcupine Tree from ''

Nil Recurring ''Nil Recurring'' (also ''Transmission 5.1'') is an Extended play, EP by British progressive rock band Porcupine Tree, released on 17 September 2007 through the band's online store. The standard version of the mini-album is composed of four tra ...

'' * "Normal", a song by Sasha Alex Sloan from '' Sad Girl'' * "Normal", a song by AJR from '' The Click (Deluxe Edition)'' * "Nomal", a song by Ximena Sariñana from '' Mediocre'' * The Normal, a recording project of English music producer Daniel Miller * The Normals (Christian band), an American Christian alternative rock band * The Normals (New Orleans band), a 1970s American punk band

Places

* Normal, Alabama *

Normal, Illinois Normal is a town in McLean County, Illinois, United States. As of the 2020 United States census, 2020 census, the town's population was 52,736. Normal is the smaller of two principal cities of the Bloomington–Normal metropolitan area, and is I ...

* Normal, Indiana * Normal, Kentucky * Normal Station, Memphis

Transportation

* Normal metro station, in Mexico City * Uptown Station, otherwise known as Normal Station, in Illinois

Other

Norm (social) A social norm is a shared standard of acceptance, acceptable behavior by a group. Social norms can both be informal understandings that govern the behavior of members of a society, as well as be codified into wikt:rule, rules and laws. Social norma ...

, collective representations of acceptable group conduct * '' Normal: The Düsseldorf Ripper'', a 1991 play by Anthony Neilson *

Normal concentration In chemistry, the equivalent concentration or normality () of a solution is defined as the molar concentration divided by an equivalence factor or -factor : N = \frac Definition Normality is defined as the number of gram or mole equiva ...

, a measure of concentration for a chemical in a solution *

Normal good In economics, a normal good is a type of a Good (economics), good which experiences an increase in demand due to an increase in income, unlike inferior goods, for which the opposite is observed. When there is an increase in a person's income, for ...

s, a concept used in economics *

Normal mode A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at fixed frequencies ...

s, of vibration in an oscillating system * Normal order, or Wick order in Quantum Field Theory * Normal school, a school created to train high school graduates to be teachers * Charles Normal (born 1965), American record producer *

Normal (chain store) Normal is a Denmark, Danish Discount store, bargain-priced variety store chain primarily selling shelf-stable food and personal care products by National brand, national brands. It was founded by Torben Mouritsen and Bo Kristensen in 2013 with th ...