Definition of "normal"

According to norms or rules or to a regular pattern.  quotations

1. (mathematics) Adhering to or being what is considered natural or regular in a particular field or context:

   1. (number theory, of a real number) In whose representation in a given base b ≥ 2, for every positive integer n, the bn possible strings of n digits follow a uniform distribution.  examples

   2. (algebra, of a subgroup) With cosets which form a group.  examples

   3. (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.  examples

   4. (probability theory, statistics, of a distribution) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.  examples

   5. (probability theory, statistics, of a random variable, etc.) Which has a normal distribution; which is associated with a random variable that has a normal distribution.  examples

   6. (complex analysis, of a family of continuous functions) Which is pre-compact.  examples

   7. (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.  examples

   8. (linear algebra, of a matrix) Which commutes with its conjugate transpose.  examples

   9. (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.  examples

   10. (category theory) Being (as a morphism) or containing (as a category) only normal epimorphism(s) or monomorphism(s), that is, those which are the kernel or cokernel of some morphism, respectively.  examples

   11. (topology, of a topology) In which disjoint closed sets can be separated by disjoint neighborhoods.

Usual, healthy; not sick or ill or unlike oneself.  examples

(education, of a school) teaching teachers how to teach (to certain norms)  examples

(chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.  examples

(organic chemistry) Describing a straight chain isomer of an aliphatic hydrocarbon, or an aliphatic compound in which a substituent is in the 1- position of such a hydrocarbon.  examples

(physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (see normal mode).  examples

(rail transport, of points) In the default position, set for the most frequently used route.  examples

(geometry) Perpendicular to a tangent of a curve or derivative of a surface.  examples

(geometry) A line or vector that is perpendicular to another line, surface, or plane.  examples

(medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.  quotations  examples

(slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.

(countable, uncountable) The usual state.  quotations  examples