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The adjective canonical is applied in many contexts to mean 'according to the canon' – the standard, rule or primary source that is accepted as authoritative for the body of knowledge or literature in that context. In mathematics, canonical example is often used to mean 'archetype'.
Canonical forms are generally used to make operating with equivalence classes more effective. For example, in modular arithmetic, the canonical form for a residue class is usually taken as the least non-negative integer in it. Operations on classes are carried out by combining these representatives, and then reducing the result to its least non ...
Canonical criticism, sometimes called canon criticism or the canonical approach, is a way of interpreting the Bible that focuses on the text of the biblical canon itself as a finished product. Brevard Childs (1923–2007) popularised this approach, though he personally rejected the term.
A Canonical XML document is by definition an XML document that is in XML Canonical form, defined by The Canonical XML specification. Briefly, canonicalization removes whitespace within tags, uses particular character encodings, sorts namespace references and eliminates redundant ones, removes XML and DOCTYPE declarations, and transforms ...
Canon law (from Ancient Greek: κανών, kanon, a 'straight measuring rod, ruler') is a set of ordinances and regulations made by ecclesiastical authority (church leadership) for the government of a Christian organization or church and its members.
For example, the Trullan Synod of 691–692, which Pope Sergius I (in office 687–701) rejected [43] (see also Pentarchy), endorsed the following lists of canonical writings: the Apostolic Canons (c. 385), the Synod of Laodicea (c. 363), the Third Synod of Carthage (c. 397), and the 39th Festal Letter of Athanasius (367). [44]
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 coordinates are defined as a special set of coordinates on the cotangent bundle of a manifold.They are usually written as a set of (,) or (,) with the x ' s or q ' s denoting the coordinates on the underlying manifold and the p ' s denoting the conjugate momentum, which are 1-forms in the cotangent bundle at point q in the manifold.