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< title > Try pandoc!< / title >
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< h1 > Try < a href = "https://pandoc.org" > pandoc< / a > !< / h1 >
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< pre id = "command" > < / pre >
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from
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< select id = "from" >
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< option value = "bibtex" > BibTeX< / option >
< option value = "biblatex" > BibLaTeX< / option >
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< option value = "commonmark" > CommonMark< / option >
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< option value = "commonmark_x" > CommonMark (extended)< / option >
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< option value = "creole" > Creole< / option >
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< option value = "csljson" > CSL JSON< / option >
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< option value = "csv" > CSV< / option >
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< option value = "docbook" > DocBook< / option >
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< option value = "dokuwiki" > DokuWiki< / option >
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< option value = "docx" > Docx (Word)< / option >
< option value = "epub" > EPUB< / option >
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< option value = "fb2" > FB2< / option >
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< option value = "haddock" > Haddock markup< / option >
< option value = "html" > HTML< / option >
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< option value = "jats" > JATS< / option >
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< option value = "jira" > Jira< / option >
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< option value = "ipynb" > Jupyter Notebook (ipynb)< / option >
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< option value = "latex" > LaTeX< / option >
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< option value = "man" > Man< / option >
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< option value = "markdown" selected > Markdown (pandoc)< / option >
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< option value = "gfm" > Markdown (GitHub-flavored)< / option >
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< option value = "markdown_phpextra" > Markdown (PHP Markdown Extra)< / option >
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< option value = "markdown_strict" > Markdown (strict)< / option >
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< option value = "mediawiki" > MediaWiki< / option >
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< option value = "markdown_mmd" > MultiMarkdown< / option >
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< option value = "muse" > Muse< / option >
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< option value = "native" > Native (Pandoc AST)< / option >
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< option value = "odt" > ODT< / option >
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< option value = "opml" > OPML< / option >
< option value = "org" > Org Mode< / option >
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< option value = "ris" > RIS< / option >
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< option value = "rst" > reStructuredText< / option >
< option value = "t2t" > Txt2Tags< / option >
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< option value = "textile" > Textile< / option >
< option value = "tikiwiki" > TikiWiki< / option >
< option value = "twiki" > TWiki< / option >
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< option value = "vimwiki" > Vimwiki< / option >
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< / select > < br / >
< label for = "loadfile" > Load from file< / label >
< input id = "loadfile" type = "file" / >
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< br / >
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< textarea id = "text" rows = "15" > < / textarea >
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< br / >
< label for = "examples" >
Examples
< / label >
< select id = "examples" >
< option value = "" selected disabled > Select an example< / option >
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< option value = "https://pandoc.org/try/?text=%40BOOK%7BWurm2011-ho%2C%0A++title+++++%3D+%22%7BSubstanz+und+Qualität+%3A+Ein+Beitrag+zur+Interpretation+der%0A+++++++++++++++plotinischen+Traktate+VI%2C1%2C+2+und+3%7D%22%2C%0A++author++++%3D+%22Wurm%2C+Klaus%22%2C%0A++publisher+%3D+%22De+Gruyter%22%2C%0A++series++++%3D+%22Quellen+und+Studien+zur+Philosophie%22%2C%0A++edition+++%3D+%22Reprint+2011%22%2C%0A++year++++++%3D++2011%2C%0A++address+++%3D+%22Berlin%22%2C%0A++keywords++%3D+%22%21%21%21+Plotinus+translation%22%2C%0A++language++%3D+%22de%22%0A%7D%0A&from=bibtex&to=csljson&standalone=false" > BibTeX to CSL JSON< / option >
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< option value = "https://pandoc.org/try/?text=---%0Areferences%3A%0A-+author%3A%0A++-+family%3A+Salam%0A++++given%3A+Abdus%0A++container-title%3A+%22Elementary+particle+theory%3A+Relativistic+groups+and%0A++++analyticity.+Proceedings+of+the+eighth+Nobel+symposium%22%0A++editor%3A%0A++-+family%3A+Svartholm%0A++++given%3A+Nils%0A++event-date%3A+1968-05-19%2F1968-05-25%0A++event-place%3A+Aspenäsgarden%2C+Lerum%0A++id%3A+salam%0A++issued%3A+1968%0A++page%3A+367-377%0A++publisher%3A+Almquist+%26+Wiksell%0A++publisher-place%3A+Stockholm%0A++title%3A+Weak+and+electromagnetic+interactions%0A++type%3A+paper-conference%0A---%0A%0A%40salam+%5Bp.+370%5D+says+some+interesting+things.%0A&from=markdown&to=man&standalone=false&citeproc=true" > Markdown to man with citation< / option >
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< option value = "https://pandoc.org/try/?text=%3D%3D+Definition+%3D%3D%0AAlthough+seemingly+different%2C+the+various+approaches+to+defining+tensors+describe+the+same+geometric+concept+using+different+language+and+at+different+levels+of+abstraction.%0A%0A%3D%3D%3D+As+multidimensional+arrays+%3D%3D%3D%0AA+tensor+may+be+represented+as+an+array+%28potentially+multidimensional%29.+Just+as+a+%5B%5BVector+space%7Cvector%5D%5D+in+an+%7B%7Bmvar%7Cn%7D%7D-%5B%5Bdimension+%28vector+space%29%7Cdimensional%5D%5D+space+is+represented+by+a+one-dimensional+array+with+%7B%7Bmvar%7Cn%7D%7D+components+with+respect+to+a+given+%5B%5BBasis+%28linear+algebra%29%23Ordered+bases+and+coordinates%7Cbasis%5D%5D%2C+any+tensor+with+respect+to+a+basis+is+represented+by+a+multidimensional+array.++For+example%2C+a+%5B%5Blinear+operator%5D%5D+is+represented+in+a+basis+as+a+two-dimensional+square+%7B%7Bmath%7C%27%27n%27%27+× +%27%27n%27%27%7D%7D+array.++The+numbers+in+the+multidimensional+array+are+known+as+the+%27%27scalar+components%27%27+of+the+tensor+or+simply+its+%27%27components%27%27.++They+are+denoted+by+indices+giving+their+position+in+the+array%2C+as+%5B%5Bsubscript+and+superscript%7Csubscripts+and+superscripts%5D%5D%2C+following+the+symbolic+name+of+the+tensor.++For+example%2C+the+components+of+an+order+%7B%7Bmath%7C2%7D%7D+tensor+%7B%7Bmvar%7CT%7D%7D+could+be+denoted+%7B%7Bmath%7C%27%27T%27%27%3Csub%3E%27%27ij%27%27%3C%2Fsub%3E%7D%7D%E2%80%AF%2C+where+%7B%7Bmvar%7Ci%7D%7D+and+%7B%7Bmvar%7Cj%7D%7D+are+indices+running+from+%7B%7Bmath%7C1%7D%7D+to+%7B%7Bmvar%7Cn%7D%7D%2C+or+also+by+%7B%7Bmath%7C%27%27T%27%27%26thinsp%3B%7B%7Bsu%7Cb%3D%27%27j%27%27%7Cp%3D%27%27i%27%27%7D%7D%7D%7D.++Whether+an+index+is+displayed+as+a+superscript+or+subscript+depends+on+the+transformation+properties+of+the+tensor%2C+described+below.+Thus+while+%7B%7Bmath%7C%27%27T%27%27%3Csub%3E%27%27ij%27%27%3C%2Fsub%3E%7D%7D+and+%7B%7Bmath%7C%27%27T%27%27%26thinsp%3B%7B%7Bsu%7Cb%3D%27%27j%27%27%7Cp%3D%27%27i%27%27%7D%7D%7D%7D+can+both+be+expressed+as+%27%27n%27%27+by+%27%27n%27%27+matrices%2C+and+are+numerically+related+via+%5B%5BRaising+and+lowering+indices%7Cindex+juggling%5D%5D%2C+the+difference+in+their+transformation+laws+indicates+it+would+be+improper+to+add+them+together.+The+total+number+of+indices+required+to+identify+each+component+uniquely+is+equal+to+the+%5B%5BArray+data+structure%23Dimension%7Cdimension%5D%5D+of+the+array%2C+and+is+called+the+%27%27order%27%27%2C+%27%27degree%27%27+or+%27%27rank%27%27+of+the+tensor.++However%2C+the+term+%22rank%22+generally+has+%5B%5Btensor+rank%7Canother+meaning%5D%5D+in+the+context+of+matrices+and+tensors.%0A%0AJust+as+the+components+of+a+vector+change+when+we+change+the+%5B%5Bbasis+%28linear+algebra%29%7Cbasis%5D%5D+of+the+vector+space%2C+the+components+of+a+tensor+also+change+under+such+a+transformation.++Each+type+of+tensor+comes+equipped+with+a+%27%27transformation+law%27%27+that+details+how+the+components+of+the+tensor+respond+to+a+%5B%5Bchange+of+basis%5D%5D.++The+components+of+a+vector+can+respond+in+two+distinct+ways+to+a+%5B%5Bchange+of+basis%5D%5D+%28see+%5B%5Bcovariance+and+contravariance+of+vectors%5D%5D%29%2C+where+the+new+%5B%5Bbasis+vectors%5D%5D+%3Cmath%3E%5Cmathbf%7B%5Chat%7Be%7D%7D_i%3C%2Fmath%3E+are+expressed+in+terms+of+the+old+basis+vectors+%3Cmath%3E%5Cmathbf%7Be%7D_j%3C%2Fmath%3E+as%2C%0A%3A%3Cmath%3E%5Cmathbf%7B%5Chat%7Be%7D%7D_i+%3D+%5Csum_%7Bj%3D1%7D%5En+%5Cmathbf%7Be%7D_j+R%5Ej_i+%3D+%5Cmathbf%7Be%7D_j+R%5Ej_i+.%3C%2Fmath%3E%0A%0AHere+%27%27R%27%27%3Csup%3E%27%27+j%27%27%3C%2Fsup%3E%3Csub%3E%27%27i%27%27%3C%2Fsub%3E+are+the+entries+of+the+change+of+basis+matrix%2C+and+in+the+rightmost+expression+the+%5B%5Bsummation%5D%5D+sign+was+suppressed%3A+this+is+the+%5B%5BEinstein+summation+convention%5D%5D%2C+which+will+be+used+throughout+this+article.%3Cref+group%3D%22Note%22%3EThe+Einstein+summation+convention%2C+in+brief%2C+requires+the+sum+to+be+taken+over+all+values+of+the+index+whenever+the+same+symbol+appears+as+a+subscript+and+superscript+in+the+same+term.++For+example%2C+under+this+convention+%3Cmath
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< / select >
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< / div >
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< div id = "topane" >
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< label for = "to" >
to
< / label >
< select id = "to" >
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< option value = "asciidoc" > AsciiDoc (original)< / option >
< option value = "asciidoctor" > AsciiDoc (asciidoctor-flavored)< / option >
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< option value = "beamer" > LaTeX Beamer< / option >
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< option value = "bibtex" > BibTeX< / option >
< option value = "biblatex" > BibLaTeX< / option >
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< option value = "commonmark" > CommonMark< / option >
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< option value = "context" > ConTeXt< / option >
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< option value = "csljson" > CSL JSON< / option >
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< option value = "docbook4" > DocBook v4< / option >
< option value = "docbook5" > DocBook v5< / option >
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< option value = "docx" > Docx (Word)< / option >
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< option value = "dokuwiki" > DokuWiki< / option >
< option value = "dzslides" > DZSlides< / option >
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< option value = "epub2" > EPUB v2< / option >
< option value = "epub3" > EPUB v3< / option >
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< option value = "haddock" > Haddock markup< / option >
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< option value = "html4" > HTML 4< / option >
< option value = "html5" selected > HTML 5< / option >
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< option value = "icml" > ICML< / option >
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< option value = "jats" > JATS< / option >
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< option value = "jira" > Jira< / option >
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< option value = "json" > JSON< / option >
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< option value = "ipynb" > Jupyter Notebook (ipynb)< / option >
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< option value = "latex" > LaTeX< / option >
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< option value = "man" > Man< / option >
< option value = "ms" > Ms< / option >
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< option value = "markdown" > Markdown (pandoc)< / option >
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< option value = "gfm" > Markdown (GitHub-flavored)< / option >
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< option value = "markdown_phpextra" > Markdown (PHP Markdown Extra)< / option >
< option value = "markdown_strict" > Markdown (strict)< / option >
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< option value = "mediawiki" > MediaWiki< / option >
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< option value = "markdown_mmd" > MultiMarkdown< / option >
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< option value = "muse" > Muse< / option >
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< option value = "native" > Native (Pandoc AST)< / option >
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< option value = "odt" > ODT< / option >
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< option value = "opendocument" > OpenDocument< / option >
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< option value = "opml" > OPML< / option >
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< option value = "org" > Org Mode< / option >
< option value = "plain" > Plain text< / option >
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< option value = "pptx" > Powerpoint< / option >
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< option value = "revealjs" > reveal.js< / option >
< option value = "rst" > reStructuredText< / option >
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< option value = "rtf" > RTF< / option >
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< option value = "S5" > S5< / option >
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< option value = "slideous" > Slideous< / option >
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< option value = "slidy" > Slidy< / option >
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< option value = "tei" > TEI< / option >
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< option value = "texinfo" > Texinfo< / option >
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< option value = "textile" > Textile< / option >
< option value = "zimwiki" > ZimWiki< / option >
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< / select >
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< input type = "checkbox" id = "standalone" name = "standalone" >
< label for = "standalone" > Standalone
< a href = "https://pandoc.org/MANUAL.html#option--standalone" target = "_blank" > (?)< / a >
< / label >
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< input type = "checkbox" id = "citeproc" name = "citeproc" >
< label for = "citeproc" > Citeproc
< a href = "https://pandoc.org/MANUAL.html#option--citeproc" target = "_blank" > (?)< / a >
< / label >
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< br / >
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< a id = "permalink" title = "link to this conversion" href = "" > permalink< / a > < /br/>
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< pre id = "results" > < / pre >
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< footer >
< p class = "version" > pandoc version < span id = "version" > < / span > < / p >
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< script src = "trypandoc.js?202208191048" > < / script >
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< / body >
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