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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 ...
Informal synonyms frequently used for this definition include "standard example", "basic example", and the longer-form "archetypal example"; mathematical archetypes often appear as "canonical examples". the Platonic concept of pure form, believed to embody the fundamental characteristics of a thing.
For example, polynomials are conventionally written with the terms in descending powers: it is more usual to write x 2 + x + 30 than x + 30 + x 2, although the two forms define the same polynomial. By contrast, the existence of Jordan canonical form for a matrix is a deep theorem.
In morphology and lexicography, a lemma (pl.: lemmas or lemmata) is the canonical form, [1] dictionary form, or citation form of a set of word forms. [2] In English, for example, break, breaks, broke, broken and breaking are forms of the same lexeme, with break as the lemma by which they are indexed.
The term canon derives from the Greek κανών (kanon), meaning "rule", and thence via Latin and Old French into English. [1] The concept in English usage is very broad: in a general sense it refers to being one (adjectival) or a group (noun) of official, authentic or approved rules or laws, particularly ecclesiastical; or group of official, authentic, or approved literary or artistic works ...
Material released since this announcement is a separate canonical timeline from the original George Lucas Canon, with all narrative development overseen by the Lucasfilm Story Group. [ 7 ] The makers of Doctor Who have generally avoided making pronouncements about canonicity, with Russell T Davies explaining that he does not think about the ...
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.
The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes. There are two canonical proofs that are always used to show non-mathematicians what a mathematical proof is like: