Wiki source code of gcd

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Administrator 1.1 1 h1. Greatest Common Divisor Notations
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3 In mathematics, The greatest common divisor of two positive integers {html}\\(a\\){html} and {html}\\(b\\){html}, denoted {html}\\(GCD(a,b)\\){html}.
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6 h3. Semantic
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8 - OpenMath's [combinat1/gcd|http://www.openmath.org/cd/arith1.xhtml#gcd]
9 - [MathML's gcd element|http://www.w3.org/TR/MathML3/chapter4.html#contm.gcd]
10 - [MathWorld's Greatest common divisor|http://mathworld.wolfram.com/GreatestCommonDivisor.html]
11 - [Wikipedia's Greatest common divisor|http://en.wikipedia.org/wiki/Greatest_common_divisor]
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15 h3. Observations of GCD
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19 h4. Arabic
20 In [Saudi math book for grad VII|Census.Bibliography#arMath-gradeVII] we find in page number 75 the example shows gcd as '?.?.?' for 63 and 42 in Arabic language.
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22 !gcd-ar1.png|align=right!
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26 h4. English
27 In [Bibliography|Census.Bibliography#discrete-math-ThomasKoshy] we find in page 191 this book shows the greatest common divisor in English.
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29 !gcd-en.png|align=right!
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34 h4. German
35 As found in [Bibliography|Census.Bibliography#lineareAlgebra-KowalskyMichler] the German book shows the greatest common divisor in page 307.
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37 !ggt-de.png|align=right!
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43 h4. Dutch
44 In [Bibliography|Census.Bibliography#InzienEnBewijzen-EijckVisser] the Dutch book shows the greatest common divisor in page 81.
45 See also the symbol in the Dutch book [Basisboek Wiskunde|Census.Bibliography#BasisboekWiskunde-JanvandeCraats] page 21.
46 Also used is !gcd-du-lc.png!, as seen in [Relaties en Structuren|Census.Bibliography#relensfrankdeclerck] (page 48).
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48 !ggd81-du.png|align=right!
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52 h4. Spanish
53 In page 271 in the Spanish book represents the greatest common divisor as found in [Bibliography|Census.Bibliography#matematicaDiscreta-SpanishEdition].
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55 !mcd-sp.png|align=right!
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59 h4. French
60 On page 101 of [Intro-math-discrètes|Census.Bibliography#intromathdiscretes], the notation and name of the gcd is described ([goto page|http://books.google.com/books?id=NZlcnzvTxAwC&lpg=PP1&hl=fr&pg=PA101#v=onepage&q=&f=false]).
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62 !pgcd-intro-math-discretes.png|align=right!
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66 h4. Finnish
67 On the Helsinki University of Technology, [Department of Mathematics website|https://matta.hut.fi/matta2/isom/html/alkutekj3.html], we find that they use _syt_ instead of gcd, and it is called 'Suurin yhteinen tekijä' in Finnish context.
68 Also find _syt_ in [wekipedia|http://fi.wikipedia.org/wiki/Suurin_yhteinen_tekij%C3%A4]. Usually at university level notation (_a,b_) is used for greatest common divisor of numbers _a_ and _b_ instead of letter combination _syt_. For example see [Lecture notes by Pentti Haukkanen at University of Tampere|http://mtl.uta.fi/Opetus/Algebra/algI04.pdf].
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70 !syt1-fi.png|align=right!!sin-fin.png|thumbnail,align=right!
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76 h3. Encoding GCD observations
77 [See encodings|http://devdemo.activemath.org/mathbridge/tools/symbolpresentation.cmd?order=by+Theory&lang=x-all&fmt=html&clipCoordinate=0&noApplet=true&omsource=%3COMOBJ+xmlns%3D%22http%3A%2F%2Fwww.openmath.org%2FOpenMath%22%3E%0D%0A++%3COMA%3E%0D%0A++++%3COMS+cd%3D%22arith1%22+name%3D%22gcd%22+xref%3D%22mbase%3A%2F%2Fopenmath-cds%2Farith1%2Fgcd%22+%2F%3E%0D%0A++++%3COMV+name%3D%22a%22+%2F%3E%0D%0A++++%3COMV+name%3D%22b%22+%2F%3E%0D%0A++%3C%2FOMA%3E%0D%0A%3C%2FOMOBJ%3E&submit=View]
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