Definition: canonical

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Source: WordNet (r) 1.7

canonical
     adj 1: appearing in a Biblical canon; "a canonical book of the
            Christian New Testament" [syn: canonic]
     2: of or relating to or required by canon law [syn: canonic]
     3: reduced to the simplest and most significant form possible
        without loss of generality; "a basic story line"; "a
        canonical syllable pattern" [syn: basic, canonic]
     4: conforming to orthodox or recognized rules; "the drinking of
        cocktails was as canonical a rite as the mixing"- Sinclair
        Lewis [syn: canonic, sanctioned]

Source: The Free On-line Dictionary of Computing (2003-OCT-10)

canonical

   (Historically, "according to religious law")

   1. <mathematics> A standard way of writing a formula.  Two
   formulas such as 9 + x and x + 9 are said to be equivalent
   because they mean the same thing, but the second one is in
   "canonical form" because it is written in the usual way, with
   the highest power of x first.  Usually there are fixed rules
   you can use to decide whether something is in canonical form.
   Things in canonical form are easier to compare.

   2.  The usual or standard state or manner of
   something.  The term acquired this meaning in computer-science
   culture largely through its prominence in Alonzo Church's
   work in computation theory and mathematical logic (see
   Knights of the Lambda-Calculus).

   Compare vanilla.

   This word has an interesting history.  Non-technical academics
   do not use the adjective "canonical" in any of the senses
   defined above with any regularity; they do however use the
   nouns "canon" and "canonicity" (not "canonicalness"* or
   "canonicality"*). The "canon" of a given author is the
   complete body of authentic works by that author (this usage is
   familiar to Sherlock Holmes fans as well as to literary
   scholars).  "The canon" is the body of works in a given field
   (e.g. works of literature, or of art, or of music) deemed
   worthwhile for students to study and for scholars to
   investigate.

   The word "canon" derives ultimately from the Greek "kanon"
   (akin to the English "cane") referring to a reed.  Reeds were
   used for measurement, and in Latin and later Greek the word
   "canon" meant a rule or a standard.  The establishment of a
   canon of scriptures within Christianity was meant to define a
   standard or a rule for the religion.  The above non-technical
   academic usages stem from this instance of a defined and
   accepted body of work.  Alongside this usage was the
   promulgation of "canons" ("rules") for the government of the
   Catholic Church.  The usages relating to religious law derive
   from this use of the Latin "canon".  It may also be related to
   arabic "qanun" (law).

   Hackers invest this term with a playfulness that makes an
   ironic contrast with its historical meaning.  A true story:
   One Bob Sjoberg, new at the MIT AI Lab, expressed some
   annoyance at the incessant use of jargon.  Over his loud
   objections, GLS and RMS made a point of using as much of
   it as possible in his presence, and eventually it began to
   sink in.  Finally, in one conversation, he used the word
   "canonical" in jargon-like fashion without thinking.  Steele:
   "Aha!  We've finally got you talking jargon too!"  Stallman:
   "What did he say?"  Steele: "Bob just used "canonical" in the
   canonical way."

   Of course, canonicality depends on context, but it is
   implicitly defined as the way *hackers* normally expect things
   to be.  Thus, a hacker may claim with a straight face that
   "according to religious law" is *not* the canonical meaning of
   "canonical".

   (2002-02-06)

Source: Jargon File (4.3.1, 29 Jun 2001)

canonical adj. [very common; historically, `according to religious
   law'] The usual or standard state or manner of something. This word has
   a somewhat more technical meaning in mathematics. Two formulas such as 9
   + x and x + 9 are said to be equivalent because they mean the same
   thing, but the second one is in `canonical form' because it is written
   in the usual way, with the highest power of x first. Usually there are
   fixed rules you can use to decide whether something is in canonical
   form. The jargon meaning, a relaxation of the technical meaning,
   acquired its present loading in computer-science culture largely through
   its prominence in Alonzo Church's work in computation theory and
   mathematical logic (see Knights of the Lambda Calculus). Compare
   vanilla.

   Non-technical academics do not use the adjective `canonical' in any of
   the senses defined above with any regularity; they do however use the
   nouns `canon' and `canonicity' (not **canonicalness or **canonicality).
   The `canon' of a given author is the complete body of authentic works by
   that author (this usage is familiar to Sherlock Holmes fans as well as
   to literary scholars). `_The_ canon' is the body of works in a given
   field (e.g., works of literature, or of art, or of music) deemed
   worthwhile for students to study and for scholars to investigate.

   The word `canon' has an interesting history. It derives ultimately
   from the Greek `kanon' (akin to the English `cane') referring to a reed.
   Reeds were used for measurement, and in Latin and later Greek the word
   `canon' meant a rule or a standard. The establishment of a canon of
   scriptures within Christianity was meant to define a standard or a rule
   for the religion. The above non-techspeak academic usages stem from this
   instance of a defined and accepted body of work. Alongside this usage
   was the promulgation of `canons' (`rules') for the government of the
   Catholic Church. The techspeak usages ("according to religious law")
   derive from this use of the Latin `canon'.

   Hackers invest this term with a playfulness that makes an ironic
   contrast with its historical meaning. A true story: One Bob Sjoberg, new
   at the MIT AI Lab, expressed some annoyance at the incessant use of
   jargon. Over his loud objections, GLS and RMS made a point of using as
   much of it as possible in his presence, and eventually it began to sink
   in. Finally, in one conversation, he used the word `canonical' in
   jargon-like fashion without thinking. Steele: "Aha! We've finally got
   you talking jargon too!" Stallman: "What did he say?" Steele: "Bob just
   used `canonical' in the canonical way."

   Of course, canonicality depends on context, but it is implicitly
   defined as the way _hackers_ normally expect things to be. Thus, a
   hacker may claim with a straight face that `according to religious law'
   is _not_ the canonical meaning of `canonical'.