Definitions from Wiktionary ( )

▸ adjective:  According to norms or rules or to a regular pattern.
▸ adjective:  (mathematics) Adhering to or being what is considered natural or regular in a particular field or context:
▸ adjective:  (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.
▸ adjective:  (algebra, of a subgroup) With cosets which form a group.
▸ adjective:  (algebra, of a field extension of a field K) Which is the splitting field of a family of polynomials in K.
▸ adjective:  (probability theory, statistics, of a distribution) Which has a very specific bell curve shape; that is or has the qualities of a normal distribution.
▸ adjective:  (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.
▸ adjective:  (complex analysis, of a family of continuous functions) Which is pre-compact.
▸ adjective:  (set theory, of a function from the ordinals to the ordinals) Which is strictly monotonically increasing and continuous with respect to the order topology.
▸ adjective:  (linear algebra, of a matrix) Which commutes with its conjugate transpose.
▸ adjective:  (functional analysis, of a Hilbert space operator) Which commutes with its adjoint.
▸ adjective:  (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.
▸ adjective:  (topology, of a topology or topological space) In which disjoint closed sets can be separated by disjoint neighborhoods.
▸ adjective:  (commutative algebra, of a domain) Integrally closed: equal its own integral closure in its field of fractions.
▸ adjective:  (commutative algebra, of a ring) Such that all of its localizations at prime ideals are integrally closed domains.
▸ adjective:  (algebraic geometry, of a variety or scheme) Such that the local ring at every point is an integrally closed domain.
▸ adjective:  Usual, healthy; not sick or ill or unlike oneself.
▸ adjective:  (fandom slang, sarcastic, with “about”) Fervently interested in a subject; obsessed.
▸ adjective:  (education, of a school) Teaching teachers how to teach; teaching teachers the norms of education.
▸ adjective:  (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
▸ adjective:  (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.
▸ adjective:  (physics, of a mode in an oscillating system) In which all parts of an object vibrate at the same frequency (see normal mode).
▸ adjective:  (rail transport, of points) In the default position, set for the most frequently used route.
▸ adjective:  (geometry) Perpendicular to a tangent of a curve or derivative of a surface.
▸ noun:  (geometry) A line or vector that is perpendicular to another line, surface, or plane.
▸ noun:  (medicine, countable) A person who is healthy, normal, as opposed to one who is morbid.
▸ noun:  (slang, countable) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
▸ noun:  (countable, uncountable) The usual state.

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