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The canonical form of a positive integer in decimal representation is a finite sequence of digits that does not begin with zero. More generally, for a class of objects on which an equivalence relation is defined, a canonical form consists in the choice of a specific object in each class. For example:
Canonical ensemble, in statistical mechanics, is a statistical ensemble representing a probability distribution of microscopic states of the 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 ...
In computer science, canonicalization (sometimes standardization or normalization) is a process for converting data that has more than one possible representation into a "standard", "normal", or canonical form. This can be done to compare different representations for equivalence, to count the number of distinct data structures, to improve the ...
The De Morgan dual is the canonical conjunctive normal form ( CCNF ), maxterm canonical form, or Product of Sums ( PoS or POS) which is a conjunction (AND) of maxterms. These forms can be useful for the simplification of Boolean functions, which is of great importance in the optimization of Boolean formulas in general and digital circuits in ...
Canon (fiction) The canon of a work of fiction is "the body of works taking place in a particular fictional world that are widely considered to be official or authoritative; [especially] those created by the original author or developer of the world". [2] Canon is contrasted with, or used as the basis for, works of fan fiction and other ...
Canonical model. A canonical model is a design pattern used to communicate between different data formats. Essentially: create a data model which is a superset of all the others ("canonical"), and create a "translator" module or layer to/from which all existing modules exchange data with other modules. The canonical model acts as a middleman.
Canonical map. In mathematics, a canonical map, also called a natural map, is a map or morphism between objects that arises naturally from the definition or the construction of the objects. Often, it is a map which preserves the widest amount of structure. A choice of a canonical map sometimes depends on a convention (e.g., a sign convention).
Canonical basis. In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate space, and more generally in a free module, it refers to the standard basis defined by the Kronecker delta. For finite extension fields, it means the polynomial basis.