Canonical

Canonical may refer to:

Science and technology

  • Canonical form, a natural unique representation of an object, or a preferred notation for some object

Mathematics

  • Canonical coordinates, sets of coordinates that can be used to describe a physical system at any given point in time
  • Canonical map, a morphism that is uniquely defined by its main property
  • Canonical polyhedron, a polyhedron whose edges are all tangent to a common sphere, whose center is the average of its vertices
  • Canonical ring, a graded ring associated to an algebraic variety
  • Canonical representative, in set theory a standard member of each element of a set partition

Differential geometry

  • Canonical one-form, a special 1-form defined on the cotangent bundle T*M of a manifold M
  • Canonical symplectic form, the exterior derivative of this form
  • Canonical vector field, the corresponding special vector field defined on the tangent bundle TM of a manifold M

Physics

  • 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 and time
  • Canonical theory, a unified molecular theory of physics, chemistry, and biology
  • Canonical conjugate variables, pairs of variables mathematically defined in such a way that they become Fourier transform duals
  • Canonical transformation, in Hamiltonian mechanics

Computing

  • Canonical Huffman code, a particular type of Huffman code with unique properties which allow it to be described in a very compact manner
  • Canonical link element, an HTML element that helps webmasters prevent duplicate content issues by specifying the “canonical” or “preferred” version
  • Canonical model, a design pattern used to communicate between different data formats
  • Canonical name record (CNAME record), a type of Domain Name System record
  • Canonical S-expressions, a binary encoding form of a subset of general S-expression
  • Canonical XML, a normal form of XML, intended to allow relatively simple comparison of pairs of XML documents
  • MAC address (formerly canonical number), a unique identifier assigned to network interfaces for communications on the physical network segment

Chemistry

  • Canonical form (chemistry), any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure

Religion

  • Canon law of the Catholic Church, the system of laws and legal principles made and enforced by the hierarchical authorities of the Catholic Church
  • Canonical coronation, an institutional act of the pope to legally crown images venerated by the faithful through a papal bull
  • Canonical hours, the divisions of the day in terms of periods of fixed prayer at regular intervals.
  • Biblical canon
    • Canonical gospel, the four gospels accepted as part of the New Testament
    • Canonical criticism, a way of interpreting the Bible that focuses on the text of the biblical canon itself as a finished product
  • The scriptures of the Pāli Canon, of Theravāda Buddhism (these include the Sutta Pitaka, the Vinaya Pitaka and the Abhidhamma Pitaka)

Other uses

See also

  • Grand canonical ensemble, a probability distribution of microscopic states for an open system, which is being maintained in thermodynamic equilibrium
  • Microcanonical ensemble, a theoretical tool used to analyze an isolated thermodynamic system
  • Canonical injection, in set theory
  • Archetype, in behavior, modern psychological theory, and literary analysis
  • Canon (disambiguation)
  • Canonicalization, a process for converting data to canonical form
  • Canonization, the act of a pope's declaring a deceased person a saint
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