Wiki source code of i

Last modified by Administrator on 2020/08/13 18:57
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1 h1. Notations of the root of - 1
2
3 This page collects the notations of the symbol "i" which represents the square root of -1 with positive imaginary part in the complex plane.
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5 h3. Descriptions of this Symbol
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7 - the OpenMath symbol [nums1#i|http://www.openmath.org/cd/nums1.xhtml#i]
8 - [imaginaryi in MathML3|http://www.w3.org/TR/MathML3/chapter4.html#contm.imaginaryi]
9 - [Imaginary Unit in MathWorld|http://mathworld.wolfram.com/ImaginaryUnit.html]
10 - [imaginary unit in WikiPedia|http://en.wikipedia.org/wiki/Imaginary_unit]
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12 ----
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14 Put your observations here...
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16 h4. Observation: English USA
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19 * As found in [algebra for high-schools and colleges|Census.Bibliography#algebra-highSchools-colleges] book, the square root of {html}\\(-1\\){html} represented in [page number 132|http://books.google.com/books?id=lOX5YpdYbJoC&lpg=PA132&dq=Imaginary%20unit&pg=PA132#v=onepage&q=Imaginary%20unit&f=false] as shown in the image on the right.
20 !imaginaryUnit-eng1.png|align=right!
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22
23 * But the [engineering mathematics|Census.Bibliography#handbook-engineeringMathematics] book shows the imaginary unit example in [page number 9|http://books.google.com.eg/books?id=3yjWHmuxn_kC&lpg=PA9&dq=Imaginary%20unit%20engineering&hl=en&pg=PA9#v=onepage&q=&f=false], where uses {html}\\(j\\){html} instead of {html}\\(i\\){html}.
24 !imaginaryUnit-eng2.png|align=right!
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26
27 * And also in the other English [electrical engineering|Census.Bibliography#electricalEngineering-KoriesWalter] book, we find in [page number 101|http://books.google.com.eg/books?id=x9keU9GuIG4C&lpg=PA101&dq=Imaginary%20unit%20engineering&hl=en&pg=PA101#v=onepage&q=&f=false] the example represents {html}\\(j\\){html} instead of {html}\\(i\\){html}.
28 !imaginaryUnit-eng3.png|align=right!
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30
31 * When we see [MATLAB 6 for engineers|Census.Bibliography#MATLAB6forEngineers] book, we find in [page 26|http://books.google.com.eg/books?id=XgwSv6LHwYoC&lpg=PA179&dq=Imaginary%20unit%20matlab&as_brr=0&hl=en&pg=PA26#v=onepage&q=Imaginary%20unit%20&f=false] that the imaginary unit stored in MATLAB in the constants {html}\\(j\\){html} and {html}\\(i\\){html}.
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33 \\
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35 h4. Observation: Spanish
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37 * The Spanish book - ['Análisis matemático'|Census.Bibliography#AnálisisMatemático-barcelona] - shows the imaginary unit example in [page 22|http://books.google.com.eg/books?id=aaiyKfviI2gC&lpg=PA22&dq=Unidad%20imaginaria&hl=en&pg=PA22#v=onepage&q=Unidad%20imaginaria&f=false].
38 !imaginaryUnit-sp1.png|align=right!
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40
41 * But the example in the electrical engineering book which called ['Problemas de teoría de circuitos'|Census.Bibliography#ProblemasDeTeoríaDeCircuitos-Espaa?] represents {html}\\(j\\){html} instead of {html}\\(i\\){html} in [page 177|http://books.google.com.eg/books?id=t0eeIUrb5LsC&lpg=PA177&dq=Unidad%20imaginaria%20j&as_brr=0&hl=en&pg=PA177#v=onepage&q=Unidad%20imaginaria%20j&f=false]. Usually, in electrical and electronics books {html}\\(i\\){html} represents electrical current, so {html}\\(j\\){html} is used instead to represent the imaginary unit.
42 !imaginaryUnit-sp2.png|align=right!
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44
45 * Also another engineering book called ['Principios de electricidad y electrónica'|Census.Bibliography#PrincipiosDeElectricidadYElectrónica-Antonio] uses {html}\\(j\\){html} instead of {html}\\(i\\){html} in the imaginary unit [page 40|http://books.google.com.eg/books?id=uc-uypoHyfAC&lpg=PA38&dq=Unidad%20imaginaria%20j&as_brr=0&hl=en&pg=PA40#v=onepage&q=Unidad%20imaginaria%20j&f=false].
46 !imaginaryUnit-sp3.png|align=right!
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48 \\
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50 h4. Observation: German
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52
53 * We see in the German book - ['Diskrete Mathematik'|Census.Bibliography#diskrete-math-deEdition] - the the imaginary unit shown in [page 397|http://books.google.com/books?id=Ss3wkCjLWEIC&lpg=PA117&dq=bell%20zahlen&lr=&pg=PA397#v=onepage&q=Imagin%C3%A4re%20Einheit&f=false].
54 !imaginaryUnit-de1.png|align=right!
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56 \\
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58 h4. Observation: French
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60 * In [Introduction aux mathématiques discrètes|Census.Bibliography#intro-math-discretes] book, we find the imaginary unit shown in [page 26|http://books.google.com/books?id=NZlcnzvTxAwC&lpg=PA364&vq=Unit%C3%A9%20imaginaire&pg=PA26#v=snippet&q=Unit%C3%A9%20imaginaire&f=false].
61 !imaginaryUnit-fr1.png|align=right!
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63 \\
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65 h4. Finnish
66 !imaginaryUnit1-fi.png|align=right! Imaginary Unit symbol is shown in the Finish book [MAOL-taulukot|Census.Bibliography#MAOL-taulukot-Otava2005] in page number 26, and it is called 'Imaginaariyksikkö' in Finnish context.
67 [Download and preview the book|http://matriisi.ee.tut.fi/~miilumak/material/]
68 [More information from google books link|http://books.google.com/books?id=00UQAwAACAAJ&dq=maol++taulukot&hl=en&ei=9154TMW7FIiGswb4qvGyDQ&sa=X&oi=book_result&ct=result&resnum=1&ved=0CCUQ6AEwAA].
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70 \\
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72 ----
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74 h3. Encoding the observations of {html}\\(i\\){html} symbol
75 [See encodings|http://devdemo.activemath.org/mathbridge/tools/symbolpresentation.cmd?order=by+Theory&lang=x-all&fmt=html&clipCoordinate=0&omsource=%3COMOBJ+xmlns%3D%22http%3A%2F%2Fwww.openmath.org%2FOpenMath%22%3E%0D%0A++%3COMS+cd%3D%22nums1%22+name%3D%22i%22+xref%3D%22mbase%3A%2F%2Fopenmath-cds%2Fnums1%2Fi%22+%2F%3E%0D%0A%3C%2FOMOBJ%3E&submit=View]
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77 \\
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79 ----
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