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The contents of the data normalization page were merged into Canonical form. For the contribution history and old versions of the redirected page, please see its history; for the discussion at that location, see its talk page. |
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I don't know whether the order of terms in a polynomials is a good example, since it would be more logical to write it in ascending order.
Btw almost all links on this page point to things about which the canonical page says (or said ;) that they are not canonical... also in view of the length of the present article, I think it might be merged into normal form. — MFH: Talk 18:52, 27 May 2005 (UTC)
The term "canonical form" is also used to designate the normal form of dictionary entries. For single words this is the lemma form (e.g. infinitive for verbs and nominal singular for nouns if these forms exist).
For multiword terms, usually there is a head word in lemma form, but the other words may be inflected.
Example: "grüner Tee" is a canonical forms, the head word is "Tee", and it is different from the series of lemmata "grün Tee".
I totally agree!!. —Preceding unsigned comment added by Demonic224 ( talk • contribs) 16:12, 30 September 2008 (UTC)
This page is so short, it should be merged with the boolean algebra page. Also, i find it very odd that the page "maxterm" redirects here.... I'm going to change that redirect. Fresheneesz 07:24, 6 February 2006 (UTC)
OK, some of the examples I included, while fitting the general pattern, probably wouldn't be called "canonical forms", but rather "classification theorem" (e.g. the types of Hilbert spaces), "structure theorem" or "representation theorem"...
But I still think it would be nice to have a big list of all these things somewhere... Ideas how to organize this?
Functor salad 12:03, 20 September 2007 (UTC)
...is an instance of a canonical form. Where should it be within this article. Michael Hardy ( talk) 03:49, 15 September 2009 (UTC)
Actually there seems to be a difference between normal and canonical forms: if two objects have different canonical forms then they are different, while the same is not true for normal forms (equality of normal or canonical forms implies the objects are identical, no difference here).
See e.g. [1] which talks about _the_ canonical form for univariate polynomials and several normal forms for multivariate polynomials: "_a_ (not the) normal form".
Does anyone know if this distinction is established throughout mathematics? Should the normal and canonical form articles be split again? — Preceding unsigned comment added by Jszymon ( talk • contribs) 10:42, 31 August 2011 (UTC)
"The canonical form of a positive integer in decimal representation is a finite sequence of digits that does not begin with zero"
Objection: according to the aforementioned definition of a canonical form, it is a unique representation. Yet, one can represent the positive integer 2, for instance, in decimal representation as 2.0 or 1.999.... — Preceding unsigned comment added by Plnml ( talk • contribs) 19:24, 21 April 2015 (UTC)
I came on here to understand what canonical form meant from a computer data modelling perspective and I am pretty well versed in normal form data modelling...I have no idea what it is from this text. The text is so impenetrable. Einstein made relativity easy for me to understand in his book so I am sure that all you geniuses who understand this topic can do it for canonical form without the need to use strangely esoteric language or example. Just say what the bloody thing is. Meanwhile, I shall have to look elsewhere for my education on this subject cos this is no help: "for a class of objects on which an equivalence relation (which can differ from standard notions of equality, for instance by considering different forms of equal objects to be nonequivalent) 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." Seriously? — Preceding unsigned comment added by 195.59.100.28 ( talk) 12:24, 24 September 2015 (UTC)
Articles cover the same ground. QVVERTYVS ( hm?) 17:46, 27 November 2015 (UTC)
Canonicalization is the computation of a canonical form. We appear to have at least three articles about this topic. QVVERTYVS ( hm?) 17:47, 27 November 2015 (UTC)
This is the
talk page for discussing improvements to the
Canonical form article. This is not a forum for general discussion of the article's subject. |
Article policies
|
Find sources: Google ( books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL |
This article is rated C-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||||||||||||||||||||||||||||||||||||||||||||
|
The contents of the data normalization page were merged into Canonical form. For the contribution history and old versions of the redirected page, please see its history; for the discussion at that location, see its talk page. |
no archives yet ( create) |
This page has archives. Sections older than 365 days may be automatically archived by Lowercase sigmabot III when more than 10 sections are present. |
I don't know whether the order of terms in a polynomials is a good example, since it would be more logical to write it in ascending order.
Btw almost all links on this page point to things about which the canonical page says (or said ;) that they are not canonical... also in view of the length of the present article, I think it might be merged into normal form. — MFH: Talk 18:52, 27 May 2005 (UTC)
The term "canonical form" is also used to designate the normal form of dictionary entries. For single words this is the lemma form (e.g. infinitive for verbs and nominal singular for nouns if these forms exist).
For multiword terms, usually there is a head word in lemma form, but the other words may be inflected.
Example: "grüner Tee" is a canonical forms, the head word is "Tee", and it is different from the series of lemmata "grün Tee".
I totally agree!!. —Preceding unsigned comment added by Demonic224 ( talk • contribs) 16:12, 30 September 2008 (UTC)
This page is so short, it should be merged with the boolean algebra page. Also, i find it very odd that the page "maxterm" redirects here.... I'm going to change that redirect. Fresheneesz 07:24, 6 February 2006 (UTC)
OK, some of the examples I included, while fitting the general pattern, probably wouldn't be called "canonical forms", but rather "classification theorem" (e.g. the types of Hilbert spaces), "structure theorem" or "representation theorem"...
But I still think it would be nice to have a big list of all these things somewhere... Ideas how to organize this?
Functor salad 12:03, 20 September 2007 (UTC)
...is an instance of a canonical form. Where should it be within this article. Michael Hardy ( talk) 03:49, 15 September 2009 (UTC)
Actually there seems to be a difference between normal and canonical forms: if two objects have different canonical forms then they are different, while the same is not true for normal forms (equality of normal or canonical forms implies the objects are identical, no difference here).
See e.g. [1] which talks about _the_ canonical form for univariate polynomials and several normal forms for multivariate polynomials: "_a_ (not the) normal form".
Does anyone know if this distinction is established throughout mathematics? Should the normal and canonical form articles be split again? — Preceding unsigned comment added by Jszymon ( talk • contribs) 10:42, 31 August 2011 (UTC)
"The canonical form of a positive integer in decimal representation is a finite sequence of digits that does not begin with zero"
Objection: according to the aforementioned definition of a canonical form, it is a unique representation. Yet, one can represent the positive integer 2, for instance, in decimal representation as 2.0 or 1.999.... — Preceding unsigned comment added by Plnml ( talk • contribs) 19:24, 21 April 2015 (UTC)
I came on here to understand what canonical form meant from a computer data modelling perspective and I am pretty well versed in normal form data modelling...I have no idea what it is from this text. The text is so impenetrable. Einstein made relativity easy for me to understand in his book so I am sure that all you geniuses who understand this topic can do it for canonical form without the need to use strangely esoteric language or example. Just say what the bloody thing is. Meanwhile, I shall have to look elsewhere for my education on this subject cos this is no help: "for a class of objects on which an equivalence relation (which can differ from standard notions of equality, for instance by considering different forms of equal objects to be nonequivalent) 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." Seriously? — Preceding unsigned comment added by 195.59.100.28 ( talk) 12:24, 24 September 2015 (UTC)
Articles cover the same ground. QVVERTYVS ( hm?) 17:46, 27 November 2015 (UTC)
Canonicalization is the computation of a canonical form. We appear to have at least three articles about this topic. QVVERTYVS ( hm?) 17:47, 27 November 2015 (UTC)