Normal

The term normal has many meanings:

• In behavior, normal means not deviating very much from the average; 'not normal' is often used in a negative sense (improper, sick, etc.). Abnormality varies greatly in how pleasant or unpleasant this is for other people; somebody may half-jokingly be called 'pleasantly disturbed'. For examples mainstream, temperance, vanilla sex, equilibrium, stability, reality, peace, health, middle way, and contrast eccentricity, perversion, paraphilia, intersexual, disease, disability, mental illness, addiction, war, crime, fantasy, dream, hallucination, illusion.

Quote: It is dangerous to be right on a subject on which the established authorities are wrong. - Voltaire. (It is dangerous not to be "normal" even if you are right).

• In education, a normal school is a school in which teachers are trained.

• In chemistry, the normality of an acid or an alkali is one way to measure its concentration.

• In computing, a normal number is one that is within the normal range of a floating-point format.

• Mathematical meanings:
  • In geometry and physics: a normal is a line perpendicular to a surface.
  • In statistics, a normal variable is a random variable that follows the normal distribution.
  • In abstract algebra (in particular, group theory): a normal subgroup is a subgroup that is invariant under conjugation.
  • In linear algebra: a normal matrix is a matrix which commutes with its conjugate transpose.
  • In functional analysis: a normal operator is a linear operator on a Hilbert space that commutes with its adjoint.
  • In abstract algebra: a normal extension is a field extension in which certain polynomials can be completely factored into linear polynomials.
  • In topology: a normal space is a topological space in which disjoint closed sets can be separated by disjoint neighborhoods.
  • In complex analysis, a normal family is a pre-compact family of holomorphic functions.
  • In mathematical analysis: a normal number is a number whose digit sequence is random.
  • In set theory: a normal function is a continuous strictly increasing function from ordinals to ordinals.
  • In category theory: a normal morphism is a morphism that arises as the kernel or cokernel of some other morphisms.

• Normal is the name of several places in the United States:
  • Normal, Alabama
  • Normal, Illinois