# Normal vs Canonical - What's the difference?

normal | canonical |

## As nouns the difference between normal and canonical

is that normal is standard while canonical is (roman catholicism) the formal robes of a priest.

## As an adjective canonical is

present in a canon, religious or otherwise.

# normal

## English

(wikipedia normal)

### Adjective

(en adjective)
• According to norms or rules.
• Healthy; not sick or ill.
• Pertaining to a school to teach teachers how to teach.
• (chemistry) Of, relating to, or being a solution containing one equivalent weight of solute per litre of solution.
• (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.
• (physics) (Of a mode in an oscillating system ) In which all parts of an object vibrate at the same frequency; See .
• (geometry) Perpendicular to a tangent line or derivative of a surface in Euclidean space.
• * The interior normal vector of a ideal perfect sphere will always point toward the center, and the exterior normal vector directly away, and both will always be co-linear with the ray whose' tip ends at the point of intersection, which is the intersection of all three sets of points.
• (algebra) (Of a subgroup) whose cosets form a group.
• (algebra) (Of a field extension of a field K) which is the splitting field of a family of polynomials in K.
• (probability theory, statistics) (Of a distribution) which has a very specific bell curve shape.
• (complex analysis) (Of a family of continuous functions) which is pre-compact.
• (set theory) (Of a function from the ordinals to the ordinals) which is strictly monotonically increasing and continuous with respect to the order topology.
• (linear algebra) (Of a matrix) which commutes with its conjugate transpose.
• (functional analysis) (Of a Hilbert space operator) which commutes with its adjoint.
• (category theory) (Of an epimorphism) which is the cokernel of some morphism.
• (category theory) (Of a monomorphism) which is the kernel of some morphism.
• (category theory) (Of a morphism) which is a normal epimorphism or a normal monomorphism.
• (category theory) (Of a category) in which every monomorphism is normal.
• (Of a real number) whose digits, in any base representation, enjoy a uniform distribution.
• (topology) (Of a topology) in which disjoint closed sets can be separated by disjoint neighborhoods.
• (rail transport, Of points) in the default position, set for the most frequently used route.
• #### Synonyms

* (usual) conventional, ordinary, standard, usual, regular, average, expected, natural * (healthy) hale, healthy, well * (perpendicular) at right angles to, perpendicular, orthogonal * (statistics) Gaussian

#### Antonyms

* (usual) unconventional, nonstandard, unusual * (healthy) ill, poorly (British), sick, unwell * (perpendicular) tangential * (rail transport) reverse

#### Derived terms

* abnormal * conormal * normalcy * normalise, normalize * normality * normally * normal school * normal vector * orthonormal * paranormal * subnormal * supernormal * ultranormal

#### Usage notes

* Warning: normal , when used to describe a majority group of people, can be considered offensive to those who don't consider membership of their own minority to be unusual. Care should be taken when juxtaposing normal, particularly with stereotypical labels, to avoid undue insult.

### Noun

(en noun)
• (geometry) A line or vector that is perpendicular to another line, surface, or plane.
• (slang) A person who is normal, who fits into mainstream society, as opposed to those who live alternative lifestyles.
• #### Synonyms

* (normal person) see

# canonical

## English

(wikipedia canonical)

### Adjective

(en adjective)
• Present in a canon, religious or otherwise.
• The is a canonical New Testament book.
• According to recognised or orthodox rules.
• The men played golf in the most canonical way, with no local rules.
• Stated or used in the most basic and straightforwardly applicable manner.
• the reduction of a linear substitution to its canonical form
• Prototypical.
• (religion) In conformity with canon law.
• (music) In the form of a canon.
• (religion) Of or pertaining to an ecclesiastical chapter
• (mathematics, computing) In canonical form.
• (mathematics) Distinguished among entities of its kind, so that it can be picked out in a way that does not depend on any arbitrary choices.
• #### Synonyms

* (mathematics) natural

#### Antonyms

* (scripture) apocryphal

#### Derived terms

* canonically

### Noun

(en noun)
• (Roman Catholicism) The formal robes of a priest
• * {{quote-book, year=1857, author=Various, title=The Atlantic Monthly, Volume 1, Issue 2, December, 1857, chapter=, edition= citation
• , passage=He, good man, could make but little of his solitary friend, and must many a time have been startled out of his canonicals by the strange, alien speeches which he heard. }}
• * {{quote-book, year=1915, author=, title=The Research Magnificent, chapter=, edition= citation
• , passage=When I was a boy I was a passionate atheist, I defied God, and so far as God is the mere sanction of social traditions and pressures, a mere dressing up of the crowd's will in canonicals , I do still deny him and repudiate him. }}
• * {{quote-book, year=1891, author=, title=The White Lady of Hazelwood, chapter=, edition= citation
• , passage=Mr Altham rose, as in duty bound, in honour to a priest, and a priest who, as he dimly discerned by his canonicals , was not altogether a common one. }}