What does canonical form mean?
Definitions for canonical form
canon·i·cal form
This dictionary definitions page includes all the possible meanings, example usage and translations of the word canonical form.
Wiktionary
canonical formnoun
A standard or normal presentation of a mathematical entity
canonical formnoun
Any of a set of representations of the resonance structure of a molecule each of which contributes to the real structure; a contributing structure
canonical formnoun
dictionary form. a basic form of a word used as a dictionary entry.
Wikidata
Canonical form
Usually, in mathematics and computer science, a canonical form of a mathematical object is a standard way of presenting that object as a mathematical expression. For example, the canonical form of a positive integer in decimal representation is a finite sequence of digits that does not begin with zero. More generally, for a class of objects on which an equivalence relation is defined, a canonical form consists in the choice of a specific object in each class. For example, row echelon form and Jordan normal form are canonical forms for matrices. In computer science, and more specifically in computer algebra, when representing mathematical objects in a computer, there are usually many different ways to represent the same object. In this context, a canonical form is a representation such that every object has a unique representation. Thus, the equality of two objects can easily be tested by testing the equality of their canonical forms. However canonical forms frequently depend on arbitrary choices, and this introduces difficulties for testing the equality of two objects resulting on independent computations. Therefore, in computer algebra, normal form is a weaker notion: A normal form is a representation such that zero is uniquely represented. This allows to test equality by putting the difference of two objects in normal form.
Numerology
Chaldean Numerology
The numerical value of canonical form in Chaldean Numerology is: 5
Pythagorean Numerology
The numerical value of canonical form in Pythagorean Numerology is: 7
Translations for canonical form
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"canonical form." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/canonical+form>.
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