Definition of Canonical form. Meaning of Canonical form. Synonyms of Canonical form

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Definition of Canonical form

Canonical form
Canonic Ca*non"ic, Cannonical Can*non"ic*al, a. [L. cannonicus, LL. canonicalis, fr. L. canon: cf. F. canonique. See canon.] Of or pertaining to a canon; established by, or according to a, canon or canons. ``The oath of canonical obedience.' --Hallam. Canonical books, or Canonical Scriptures, those books which are declared by the canons of the church to be of divine inspiration; -- called collectively the canon. The Roman Catholic Church holds as canonical several books which Protestants reject as apocryphal. Canonical epistles, an appellation given to the epistles called also general or catholic. See Catholic epistles, under Canholic. Canonical form (Math.), the simples or most symmetrical form to which all functions of the same class can be reduced without lose of generality. Canonical hours, certain stated times of the day, fixed by ecclesiastical laws, and appropriated to the offices of prayer and devotion; also, certain portions of the Breviary, to be used at stated hours of the day. In England, this name is also given to the hours from 8 a. m. to 3 p. m. (formerly 8 a. m. to 12 m.) before and after which marriage can not be legally performed in any parish church. Canonical letters, letters of several kinds, formerly given by a bishop to traveling clergymen or laymen, to show that they were entitled to receive the communion, and to distinguish them from heretics. Canonical life, the method or rule of living prescribed by the ancient clergy who lived in community; a course of living prescribed for the clergy, less rigid than the monastic, and more restrained that the secular. Canonical obedience, submission to the canons of a church, especially the submission of the inferior clergy to their bishops, and of other religious orders to their superiors. Canonical punishments, such as the church may inflict, as excommunication, degradation, penance, etc. Canonical sins (Anc. Church.), those for which capital punishment or public penance decreed by the canon was inflicted, as idolatry, murder, adultery, heresy.

Meaning of Canonical form from wikipedia

- In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical...
- canonical disjunctive normal form (CDNF) or minterm canonical form, and its dual, the canonical conjunctive normal form (CCNF) or maxterm canonical form...
- algebra, a Jordan normal form, also known as a Jordan canonical form (JCF), is an upper triangular matrix of a particular form called a Jordan matrix representing...
- more than one possible representation into a "standard", "normal", or canonical form. This can be done to compare different representations for equivalence...
- literature in that context. In mathematics, canonical example is often used to mean 'archetype'. Canonical form, a natural unique representation of an object...
- reduced row echelon form or in canonical form if its augmented matrix is in reduced row echelon form. The canonical form may be viewed as an explicit solution...
- algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices obtained by conjugation...
- alternative sequences are in general canonically equivalent. The rules that define their sequencing in the canonical form also define whether they are considered...
- f is in Blake canonical form (BCF), also called the complete sum of prime implicants, the complete sum, or the disjunctive prime form, when it is a disjunction...
- {x} (t).} This state-space realization is called controllable canonical form because the resulting model is guaranteed to be controllable (i.e.,...