181 lines
14 KiB
HTML
181 lines
14 KiB
HTML
<!doctype html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<title>Try pandoc!</title>
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<meta http-equiv="X-UA-Compatible" content="IE=edge">
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<!--[if lt IE 9]>
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<script src="https://oss.maxcdn.com/libs/html5shiv/3.7.0/html5shiv.js"></script>
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<script src="https://oss.maxcdn.com/libs/respond.js/1.4.2/respond.min.js"></script>
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<![endif]-->
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<style>
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body { margin: auto; font-family: sans-serif; font-size: 10pt; color: #555; }
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#command { min-width: 26em; background-color: #555; color: #eee; border-radius: 9pt; margin: 6pt; padding: 6pt; }
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h1 { margin-bottom: 1em; font-size: 166%; margin: 0; padding: 6pt; }
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h1 a { text-decoration: none; color: inherit; }
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label { font-weight: 600; }
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textarea { height: auto; font-family: monospace; font-size: 10pt; margin-top: 15px; min-height: 65vh; width: 44vw; }
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div.alert { margin: 1em; }
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pre#results { width: 100%; margin-top: 15px; min-height: 65vh; width: 44vw; }
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footer { color: #555; text-align: center; margin: 1em; }
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p.version { color: #555; }
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.container { margin: 12px; }
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.row { display: flex; flex-wrap: nowrap; justify-content: space-between; }
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#frompane { flex: 1; padding: 1em; }
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#topane { flex: 1; padding: 1em; }
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#command { font-family: monospace; padding: 1em; }
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button#convert { vertical-align: bottom; }
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pre#command { margin-top: 1em; background-color: transparent; border: none; }
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</style>
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</head>
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<body>
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<div class="container">
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<div class="row">
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<div id="title">
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<h1>Try <a href="https://pandoc.org">pandoc</a>!</h1>
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</div>
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<div id="command">
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<pre id="command"></pre>
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</div>
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</div>
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<div class="row">
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<div id="frompane">
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<button id="convert">Convert</button>
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<label for="from">
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from
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</label>
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<select id="from">
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<option value="bibtex">BibTeX</option>
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<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>
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<option value="epub">EPUB</option>
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<option value="fb2">FB2</option>
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<option value="haddock">Haddock markup</option>
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<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>
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<option value="org">Org Mode</option>
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<option value="ris">RIS</option>
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<option value="rst">reStructuredText</option>
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<option value="t2t">Txt2Tags</option>
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<option value="textile">Textile</option>
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<option value="tikiwiki">TikiWiki</option>
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<option value="twiki">TWiki</option>
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<option value="vimwiki">Vimwiki</option>
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</select><br/>
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<label for="loadfile">Load from file</label>
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<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/>
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<label for="examples">
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Examples
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</label>
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<select id="examples">
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<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%3EB_i+C%5Ei+%3D+B_1+C%5E1+%2B+B_2+C%5E2+%2B+%5Ccdots+B_n+C%5En%3C%2Fmath%3E%3C%2Fref%3E++The+components+%27%27v%27%27%3Csup%3E%27%27i%27%27%3C%2Fsup%3E+of+a+column+vector+%27%27%27v%27%27%27+transform+with+the+%5B%5Bmatrix+inverse%7Cinverse%5D%5D+of+the+matrix+%27%27R%27%27%2C%0A%3A%3Cmath%3E%5Chat%7Bv%7D%5Ei+%3D+%5Cleft%28R%5E%7B-1%7D%5Cright%29%5Ei_j+v%5Ej%2C%3C%2Fmath%3E%0A%0Awhere+the+hat+denotes+the+components+in+the+new+basis.++This+is+called+a+%27%27contravariant%27%27+transformation+law%2C+because+the+vector+components+transform+by+the+%27%27inverse%27%27+of+the+change+of+basis.++In+contrast%2C+the+components%2C+%27%27w%27%27%3Csub%3E%27%27i%27%27%3C%2Fsub%3E%2C+of+a+covector+%28or+row+vector%29%2C+%27%27%27w%27%27%27%2C+transform+with+the+matrix+%27%27R%27%27+itself%2C%0A%3A%3Cmath%3E%5Chat%7Bw%7D_i+%3D+w_j+R%5Ej_i+.%3C%2Fmath%3E&from=mediawiki&to=docx&standalone=false">MediaWiki to docx with equations</option>
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</select>
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</div>
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<div id="topane">
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<label for="to">
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to
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</label>
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<select id="to">
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<option value="asciidoc">AsciiDoc (original)</option>
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<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>
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<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>
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<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>
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<option value="dzslides">DZSlides</option>
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<option value="epub2">EPUB v2</option>
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<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>
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<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>
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<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>
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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="opendocument">OpenDocument</option>
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<option value="opml">OPML</option>
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<option value="org">Org Mode</option>
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<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>
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<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>
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<option value="zimwiki">ZimWiki</option>
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</select>
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<input type="checkbox" id="standalone" name="standalone">
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<label for="standalone">Standalone
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<a href="https://pandoc.org/MANUAL.html#option--standalone" target="_blank">(?)</a>
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</label>
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<input type="checkbox" id="citeproc" name="citeproc">
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<label for="citeproc">Citeproc
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<a href="https://pandoc.org/MANUAL.html#option--citeproc" target="_blank">(?)</a>
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</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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||
</div>
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||
</div>
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</div>
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<footer>
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<p class="version">pandoc version <span id="version"></span></p>
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</footer>
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<script src="trypandoc.js?202208191048"></script>
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</body>
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</html>
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