diff options
| author | John MacFarlane <[email protected]> | 2022-08-18 10:26:40 -0700 |
|---|---|---|
| committer | John MacFarlane <[email protected]> | 2022-08-18 10:26:40 -0700 |
| commit | 2dcd6cbaf4dbfd211c670907ca368caafb0691c4 (patch) | |
| tree | f6e750dcdc6752132611d77c3233c15b41c4709f | |
| parent | 31b20739b8c87ed5a31e5cefe4af898bf2537b86 (diff) | |
trypandoc: add canned examples.
| -rw-r--r-- | trypandoc/index.html | 14 |
1 files changed, 14 insertions, 0 deletions
diff --git a/trypandoc/index.html b/trypandoc/index.html index ed763c553..08b1cad95 100644 --- a/trypandoc/index.html +++ b/trypandoc/index.html @@ -93,6 +93,17 @@ <input id="loadfile" type="file" /> <br/> <textarea id="text" rows="15"></textarea> + <br/> + <label for="examples"> + Examples + </label> + <select id="examples"> + <option value="" selected disabled>Select an example</option> + <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&citeproc=true">BibTeX to CSL JSON</option> + <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> + <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&citeproc=true">MediaWiki to docx with equations</option> + </select> + </div> <div id="topane"> <label for="to"> @@ -287,6 +298,9 @@ function convert() { document.getElementById("standalone").onchange = convert; document.getElementById("citeproc").onchange = convert; + document.getElementById("examples").onchange = + (e => window.location.href = e.target.value ); + const fileInput = document.getElementById('loadfile'); // Listen for the change event so we can capture the file |
