Noun
(mathematics, computing) A standard or normal presentation of a mathematical entity or a text string, etc.
A canonical form is an element of a set of representatives of equivalence classes of forms such that there is a function or procedure which projects every element of each equivalence class onto that one element, the canonical form of that equivalence class. The canonical form is expected to be simpler than the rest of the forms in some way. For example, for cubic polynomials acted upon by the group of translations along the abscissa, the canonical forms are cubic polynomials without a quadratic term.
(chemistry) Any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure; a contributing structure.
(linguistics, rare) Synonym of dictionary form
Source: en.wiktionary.orgA related concept is the lemma (or citation form), which is a particular form of a lexeme that is chosen by convention to represent a canonical form of a lexeme. Source: Internet
In general, it is not true that one can get a canonical form for the elements, by stepwise cancellation. Source: Internet
For the example, we have a canonical form available that reduces any string to one of length at most three, by decreasing the length monotonically. Source: Internet
If every program can be reduced to a canonical form, then the type theory is said to be normalising (or weakly normalising). Source: Internet
If the canonical form is unique, then the theory is said to be strongly normalising. Source: Internet
The canonical form coefficients can be obtained from the general form coefficients using the following equations: : where is the angle from the positive horizontal axis to the ellipse's major axis. Source: Internet