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Look up , canonical, or canonic in Wiktionary, the free dictionary.canonicals |

* Canonical* is the adjective for

See the page canon (disambiguation) for most uses of 'canonical' in law, canon law, religion, literature, etc.

**Canonical** may refer to:

In mathematics, *canonical example* is frequently used to mean "archetype, standard example". **Canonical** also means "distinguished representative of a class", particularly one that does not require making any choice; this is also known as "natural", as in natural transformation. In geometry "tautological" is sometimes used as an alternative, to avoid confusion with other uses of "canonical". Specific uses of *canonical* include:

- Canonical coordinates, sets of coordinates which can be used to describe a physical system at any given point in time
- Canonical form, a natural unique representation of an object, or a preferred notation for some object
*Canonical homomorphism, canonical isomorphism*: an homomorphism that is uniquely defined by its main property, for example, the canonical homomorphism of the integers into the rational numbers, the canonical homomorphism of a vector space onto the quotient by a subspace. More precisely, a*canonical morphism*or*canonical homomorphism*is a morphism whose existence and unicity are provided by a universal property.- Canonical polyhedron, in geometry a polyhedron whose edges are all tangent to a common sphere, whose center is the average of its vertices; see Midsphere
- Canonical representative, in set theory a standard member of each element of a set partition

In differential geometry:

- Canonical one-form, a special 1-form defined on the cotangent bundle
*T***M*of a manifold*M* - Canonical symplectic form, the exterior derivative of this form
- Canonical vector field, the corresponding special vector field defined on the tangent bundle
*TM*of a manifold*M*

- Canonical ensemble, in statistical mechanics a statistical ensemble representing a probability distribution of microscopic states of the system
- Grand canonical ensemble, a probability distribution of microscopic states for an open system, which is being maintained in thermodynamic equilibrium
- Microcanonical ensemble, a theoretical tool used to analyze an isolated thermodynamic system

- Canonical quantum gravity, an attempt to quantize the canonical formulation of general relativity
- Canonical stress-energy tensor, a conserved current associated with translations through space and time
- Canonical theory, a unified molecular theory of physics, chemistry, and biology
- Canonical variable, a conjugate variable in theoretical physics

- Canonical Huffman code, a particular type of Huffman code with unique properties which allow it to be described in a very compact manner
- Canonical link element, an HTML element that helps webmasters prevent duplicate content issues by specifying the "canonical" or "preferred" version
- Canonical Ltd., a U.K. software company
- Canonical Model, a design pattern used to communicate between different data formats
- Canonical name record (CNAME record), a type of Domain Name System record
- Canonical S-expressions, a binary encoding form of a subset of general S-expression
- Canonical XML, a normal form of XML, intended to allow relatively simple comparison of pairs of XML documents
- MAC address (formerly canonical number), a unique identifier assigned to network interfaces for communications on the physical network segment

- Pertaining to the Biblical canon
- Canonical gospel, the four gospels accepted as part of the New Testament
- Canonical criticism, a way of interpreting the Bible that focuses on the text of the biblical canon itself as a finished product

- Canonicalization a process for converting data to canonical form

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