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<article class="ltx_document">
<figure id="alg1" class="ltx_float ltx_float_algorithm ltx_framed_top">
<figcaption class="ltx_caption"><span class="ltx_tag ltx_tag_float"><span id="alg1.2" class="ltx_text ltx_font_bold">Algorithm 1</span> </span> Euclidβs algorithm</figcaption>
<div id="alg1.3" class="ltx_listing ltx_listing">
<div id="alg1.l1" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l1.1" class="ltx_text" style="font-size:80%;">1:</span></span><span id="alg1.l1.2" class="ltx_text ltx_font_bold">procedure</span> <span id="alg1.l1.3" class="ltx_text ltx_font_smallcaps">Euclid</span>(<math id="alg1.l1.m1.1" class="ltx_Math" alttext="a,b" display="inline"><semantics id="alg1.l1.m1.1a"><mrow id="alg1.l1.m1.1.4" xref="alg1.l1.m1.1.4.1.cmml"><mi id="alg1.l1.m1.1.1" xref="alg1.l1.m1.1.1.cmml">a</mi><mo id="alg1.l1.m1.1.2" xref="alg1.l1.m1.1.4.1.cmml">,</mo><mi id="alg1.l1.m1.1.3" xref="alg1.l1.m1.1.3.cmml">b</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l1.m1.1b"><list id="alg1.l1.m1.1.4.1.cmml" xref="alg1.l1.m1.1.4"><ci id="alg1.l1.m1.1.1.cmml" xref="alg1.l1.m1.1.1">π</ci><ci id="alg1.l1.m1.1.3.cmml" xref="alg1.l1.m1.1.3">π</ci></list></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.m1.1c">a,b</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.m1.1d">italic-a PUNCT:, italic-b</annotation></semantics></math>)<span id="alg1.l1.4" class="ltx_text" style="float:right;"><math id="alg1.l1.4.m1.1" class="ltx_Math" alttext="\triangleright" display="inline"><semantics id="alg1.l1.4.m1.1a"><mo id="alg1.l1.4.m1.1.1" xref="alg1.l1.4.m1.1.1.cmml">β·</mo><annotation-xml encoding="MathML-Content" id="alg1.l1.4.m1.1b"><ci id="alg1.l1.4.m1.1.1.cmml" xref="alg1.l1.4.m1.1.1">β·</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l1.4.m1.1c">\triangleright</annotation><annotation encoding="application/x-llamapun" id="alg1.l1.4.m1.1d">ADDOP:triangleright</annotation></semantics></math> The g.c.d. of a and b
</span>
</div>
<div id="alg1.l2" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l2.1" class="ltx_text" style="font-size:80%;">2:</span></span> <math id="alg1.l2.m1.1" class="ltx_Math" alttext="r\leftarrow a\bmod b" display="inline"><semantics id="alg1.l2.m1.1a"><mrow id="alg1.l2.m1.1.6" xref="alg1.l2.m1.1.6.cmml"><mi id="alg1.l2.m1.1.1" xref="alg1.l2.m1.1.1.cmml">r</mi><mo id="alg1.l2.m1.1.2" xref="alg1.l2.m1.1.2.cmml">β</mo><mrow id="alg1.l2.m1.1.6.1" xref="alg1.l2.m1.1.6.1.cmml"><mi id="alg1.l2.m1.1.3" xref="alg1.l2.m1.1.3.cmml">a</mi><mo lspace="2.5pt" rspace="2.5pt" id="alg1.l2.m1.1.4" xref="alg1.l2.m1.1.4.cmml">mod</mo><mi id="alg1.l2.m1.1.5" xref="alg1.l2.m1.1.5.cmml">b</mi></mrow></mrow><annotation-xml encoding="MathML-Content" id="alg1.l2.m1.1b"><apply id="alg1.l2.m1.1.6.cmml" xref="alg1.l2.m1.1.6"><ci id="alg1.l2.m1.1.2.cmml" xref="alg1.l2.m1.1.2">β</ci><ci id="alg1.l2.m1.1.1.cmml" xref="alg1.l2.m1.1.1">π</ci><apply id="alg1.l2.m1.1.6.1.cmml" xref="alg1.l2.m1.1.6.1"><csymbol cd="latexml" id="alg1.l2.m1.1.4.cmml" xref="alg1.l2.m1.1.4">modulo</csymbol><ci id="alg1.l2.m1.1.3.cmml" xref="alg1.l2.m1.1.3">π</ci><ci id="alg1.l2.m1.1.5.cmml" xref="alg1.l2.m1.1.5">π</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l2.m1.1c">r\leftarrow a\bmod b</annotation><annotation encoding="application/x-llamapun" id="alg1.l2.m1.1d">italic-r ARROW:leftarrow italic-a MODIFIEROP:modulo italic-b</annotation></semantics></math>
</div>
<div id="alg1.l3" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l3.1" class="ltx_text" style="font-size:80%;">3:</span></span> <span id="alg1.l3.2" class="ltx_text ltx_font_bold">while</span> <math id="alg1.l3.m1.1" class="ltx_Math" alttext="r\not=0" display="inline"><semantics id="alg1.l3.m1.1a"><mrow id="alg1.l3.m1.1.5" xref="alg1.l3.m1.1.5.cmml"><mi id="alg1.l3.m1.1.1" xref="alg1.l3.m1.1.1.cmml">r</mi><mo id="alg1.l3.m1.1.3" xref="alg1.l3.m1.1.3.cmml">β </mo><mn id="alg1.l3.m1.1.4" xref="alg1.l3.m1.1.4.cmml">0</mn></mrow><annotation-xml encoding="MathML-Content" id="alg1.l3.m1.1b"><apply id="alg1.l3.m1.1.5.cmml" xref="alg1.l3.m1.1.5"><neq id="alg1.l3.m1.1.3.cmml" xref="alg1.l3.m1.1.3"></neq><ci id="alg1.l3.m1.1.1.cmml" xref="alg1.l3.m1.1.1">π</ci><cn type="integer" id="alg1.l3.m1.1.4.cmml" xref="alg1.l3.m1.1.4">0</cn></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l3.m1.1c">r\not=0</annotation><annotation encoding="application/x-llamapun" id="alg1.l3.m1.1d">italic-r RELOP:not-equals NUMBER:0</annotation></semantics></math> <span id="alg1.l3.3" class="ltx_text ltx_font_bold">do<span id="alg1.l3.3.1" class="ltx_text ltx_font_medium" style="float:right;"><math id="alg1.l3.3.1.m1.1" class="ltx_Math" alttext="\triangleright" display="inline"><semantics id="alg1.l3.3.1.m1.1a"><mo id="alg1.l3.3.1.m1.1.1" xref="alg1.l3.3.1.m1.1.1.cmml" mathvariant="normal">β·</mo><annotation-xml encoding="MathML-Content" id="alg1.l3.3.1.m1.1b"><ci id="alg1.l3.3.1.m1.1.1.cmml" xref="alg1.l3.3.1.m1.1.1">normal-β·</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l3.3.1.m1.1c">\triangleright</annotation><annotation encoding="application/x-llamapun" id="alg1.l3.3.1.m1.1d">ADDOP:triangleright</annotation></semantics></math> We have the answer if r is 0
</span></span>
</div>
<div id="alg1.l4" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l4.1" class="ltx_text" style="font-size:80%;">4:</span></span> <math id="alg1.l4.m1.1" class="ltx_Math" alttext="a\leftarrow b" display="inline"><semantics id="alg1.l4.m1.1a"><mrow id="alg1.l4.m1.1.4" xref="alg1.l4.m1.1.4.cmml"><mi id="alg1.l4.m1.1.1" xref="alg1.l4.m1.1.1.cmml">a</mi><mo id="alg1.l4.m1.1.2" xref="alg1.l4.m1.1.2.cmml">β</mo><mi id="alg1.l4.m1.1.3" xref="alg1.l4.m1.1.3.cmml">b</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l4.m1.1b"><apply id="alg1.l4.m1.1.4.cmml" xref="alg1.l4.m1.1.4"><ci id="alg1.l4.m1.1.2.cmml" xref="alg1.l4.m1.1.2">β</ci><ci id="alg1.l4.m1.1.1.cmml" xref="alg1.l4.m1.1.1">π</ci><ci id="alg1.l4.m1.1.3.cmml" xref="alg1.l4.m1.1.3">π</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l4.m1.1c">a\leftarrow b</annotation><annotation encoding="application/x-llamapun" id="alg1.l4.m1.1d">italic-a ARROW:leftarrow italic-b</annotation></semantics></math>
</div>
<div id="alg1.l5" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l5.1" class="ltx_text" style="font-size:80%;">5:</span></span> <math id="alg1.l5.m1.1" class="ltx_Math" alttext="b\leftarrow r" display="inline"><semantics id="alg1.l5.m1.1a"><mrow id="alg1.l5.m1.1.4" xref="alg1.l5.m1.1.4.cmml"><mi id="alg1.l5.m1.1.1" xref="alg1.l5.m1.1.1.cmml">b</mi><mo id="alg1.l5.m1.1.2" xref="alg1.l5.m1.1.2.cmml">β</mo><mi id="alg1.l5.m1.1.3" xref="alg1.l5.m1.1.3.cmml">r</mi></mrow><annotation-xml encoding="MathML-Content" id="alg1.l5.m1.1b"><apply id="alg1.l5.m1.1.4.cmml" xref="alg1.l5.m1.1.4"><ci id="alg1.l5.m1.1.2.cmml" xref="alg1.l5.m1.1.2">β</ci><ci id="alg1.l5.m1.1.1.cmml" xref="alg1.l5.m1.1.1">π</ci><ci id="alg1.l5.m1.1.3.cmml" xref="alg1.l5.m1.1.3">π</ci></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l5.m1.1c">b\leftarrow r</annotation><annotation encoding="application/x-llamapun" id="alg1.l5.m1.1d">italic-b ARROW:leftarrow italic-r</annotation></semantics></math>
</div>
<div id="alg1.l6" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l6.1" class="ltx_text" style="font-size:80%;">6:</span></span> <math id="alg1.l6.m1.1" class="ltx_Math" alttext="r\leftarrow a\bmod b" display="inline"><semantics id="alg1.l6.m1.1a"><mrow id="alg1.l6.m1.1.6" xref="alg1.l6.m1.1.6.cmml"><mi id="alg1.l6.m1.1.1" xref="alg1.l6.m1.1.1.cmml">r</mi><mo id="alg1.l6.m1.1.2" xref="alg1.l6.m1.1.2.cmml">β</mo><mrow id="alg1.l6.m1.1.6.1" xref="alg1.l6.m1.1.6.1.cmml"><mi id="alg1.l6.m1.1.3" xref="alg1.l6.m1.1.3.cmml">a</mi><mo lspace="2.5pt" rspace="2.5pt" id="alg1.l6.m1.1.4" xref="alg1.l6.m1.1.4.cmml">mod</mo><mi id="alg1.l6.m1.1.5" xref="alg1.l6.m1.1.5.cmml">b</mi></mrow></mrow><annotation-xml encoding="MathML-Content" id="alg1.l6.m1.1b"><apply id="alg1.l6.m1.1.6.cmml" xref="alg1.l6.m1.1.6"><ci id="alg1.l6.m1.1.2.cmml" xref="alg1.l6.m1.1.2">β</ci><ci id="alg1.l6.m1.1.1.cmml" xref="alg1.l6.m1.1.1">π</ci><apply id="alg1.l6.m1.1.6.1.cmml" xref="alg1.l6.m1.1.6.1"><csymbol cd="latexml" id="alg1.l6.m1.1.4.cmml" xref="alg1.l6.m1.1.4">modulo</csymbol><ci id="alg1.l6.m1.1.3.cmml" xref="alg1.l6.m1.1.3">π</ci><ci id="alg1.l6.m1.1.5.cmml" xref="alg1.l6.m1.1.5">π</ci></apply></apply></annotation-xml><annotation encoding="application/x-tex" id="alg1.l6.m1.1c">r\leftarrow a\bmod b</annotation><annotation encoding="application/x-llamapun" id="alg1.l6.m1.1d">italic-r ARROW:leftarrow italic-a MODIFIEROP:modulo italic-b</annotation></semantics></math>
</div>
<div id="alg1.l7" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l7.1" class="ltx_text" style="font-size:80%;">7:</span></span> <span id="alg1.l7.2" class="ltx_text ltx_font_bold">end</span> <span id="alg1.l7.3" class="ltx_text ltx_font_bold">while</span>
</div>
<div id="alg1.l8" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l8.1" class="ltx_text" style="font-size:80%;">8:</span></span> <span id="alg1.l8.2" class="ltx_text ltx_font_bold">return</span> <math id="alg1.l8.m1.1" class="ltx_Math" alttext="b" display="inline"><semantics id="alg1.l8.m1.1a"><mi id="alg1.l8.m1.1.1" xref="alg1.l8.m1.1.1.cmml">b</mi><annotation-xml encoding="MathML-Content" id="alg1.l8.m1.1b"><ci id="alg1.l8.m1.1.1.cmml" xref="alg1.l8.m1.1.1">π</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l8.m1.1c">b</annotation><annotation encoding="application/x-llamapun" id="alg1.l8.m1.1d">italic-b</annotation></semantics></math><span id="alg1.l8.3" class="ltx_text" style="float:right;"><math id="alg1.l8.3.m1.1" class="ltx_Math" alttext="\triangleright" display="inline"><semantics id="alg1.l8.3.m1.1a"><mo id="alg1.l8.3.m1.1.1" xref="alg1.l8.3.m1.1.1.cmml">β·</mo><annotation-xml encoding="MathML-Content" id="alg1.l8.3.m1.1b"><ci id="alg1.l8.3.m1.1.1.cmml" xref="alg1.l8.3.m1.1.1">β·</ci></annotation-xml><annotation encoding="application/x-tex" id="alg1.l8.3.m1.1c">\triangleright</annotation><annotation encoding="application/x-llamapun" id="alg1.l8.3.m1.1d">ADDOP:triangleright</annotation></semantics></math> The gcd is b
</span>
</div>
<div id="alg1.l9" class="ltx_listingline"><span class="ltx_tag ltx_tag_listingline"><span id="alg1.l9.1" class="ltx_text" style="font-size:80%;">9:</span></span><span id="alg1.l9.2" class="ltx_text ltx_font_bold">end</span> <span id="alg1.l9.3" class="ltx_text ltx_font_bold">procedure</span>
</div>
</div>
</figure>
</article>
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.ltx_td.ltx_align_left.ltx_wrap, .ltx_th.ltx_align_left.ltx_wrap,
.ltx_td.ltx_align_right.ltx_wrap, .ltx_th.ltx_align_right.ltx_wrap,
.ltx_td.ltx_align_center.ltx_wrap, .ltx_th.ltx_align_center.ltx_wrap { white-space:normal; }
.ltx_inline-block { display:inline-block; }
/* equations in non-aligned mode (not normally used) */
.ltx_eqn_div { display:block; width:95%; text-align:center; }
/* equations in aligned mode (aligning tags, etc as well as equations) */
.ltx_eqn_table { display:table; width:100%; border-collapse:collapse; }
.ltx_eqn_row { display:table-row; }
.ltx_eqn_cell { display:table-cell; width:auto; }
table.ltx_eqn_align tr.ltx_equation td.ltx_align_left + td.ltx_align_right { padding-left:3em; }
table.ltx_eqn_eqnarray tr.ltx_eqn_lefteqn + tr td.ltx_align_right { min-width:2em; }
.ltx_eqn_eqno { max-width:0em; overflow:visible; white-space: nowrap; }
.ltx_eqn_eqno.ltx_align_right .ltx_tag { float:right; }
.ltx_eqn_center_padleft,
.ltx_eqn_center_padright { width:50%; min-width:2em;}
.ltx_eqn_left_padleft,
.ltx_eqn_right_padright { min-width:2em; }
.ltx_eqn_left_padright,
.ltx_eqn_right_padleft { width:100%; }
/* Various lists */
.ltx_itemize,
.ltx_enumerate,
.ltx_description {
display:block; }
.ltx_itemize .ltx_item,
.ltx_enumerate .ltx_item {
display: list-item; }
/* Position the tag to look like a normal item bullet. */
li.ltx_item > .ltx_tag {
display:inline-block; margin-left:-1.5em; min-width:1.5em;
text-align:right; }
.ltx_item .ltx_tag + .ltx_para,
.ltx_item .ltx_tag + .ltx_para .ltx_p { display:inline; }
/* NOTE: Need to try harder to get runin appearance? */
dl.ltx_description dt { margin-right:0.5em; float:left;
font-weight:bold; font-size:95%; }
dl.ltx_description dd { margin-left:5em; }
dl.ltx_description dl.ltx_description dd { margin-left:3em; }
/* Theorems */
.ltx_theorem {margin:1em 0em 1em 0em; }
.ltx_title_theorem { font-size:100%; }
/* Bibliographies */
.ltx_bibliography dt { margin-right:0.5em; float:left; }
.ltx_bibliography dd { margin-left:3em; }
/*.ltx_biblist { list-style-type:none; }*/
.ltx_bibitem { list-style-type:none; }
.ltx_bibitem .ltx_tag { font-weight:bold; margin-left:-2em; width:3em; }
/*.bibitem-tag + div { display:inline; }*/
.ltx_bib_title { font-style:italic; }
.ltx_bib_article .bib-title { font-style:normal !important; }
.ltx_bib_journal { font-style:italic; }
.ltx_bib_volume { font-weight:bold; }
/* Indices */
.ltx_indexlist li { list-style-type:none; }
.ltx_indexlist { margin-left:1em; padding-left:1em;}
/* Listings */
.ltx_listing {
display:block;
margin: 1ex 3em 1ex 0em;
overflow-x:auto;
text-align: left; }
.ltx_float .ltx_listing {
margin: 0; }
.ltx_listingline { white-space:nowrap; min-height:1em; }
.ltx_lst_numbers_left .ltx_listingline .ltx_tag {
background-color:transparent;
margin-left:-3em; width:2.5em;
position:absolute;
text-align:right; }
.ltx_lst_numbers_right .ltx_listingline .ltx_tag {
background-color:transparent;
width:2.5em;
position:absolute; right:3em;
text-align:right; }
/*
position:absolute; left:0em;
max-width:0em; text-align:right; }
*/
.ltx_parbox {text-indent:0em; }
/* NOTE that it is CRITICAL to put position:relative outside & absolute inside!!
I wish I understood why!
Outer box establishes resulting size, neutralizes any outer positioning, etc;
inner establishes position of stuff to be rotated */
.ltx_transformed_outer {
position:relative; bottom:0pt;left:0pt;
overflow:visible; }
.ltx_transformed_inner {
display:block;
position:absolute;bottom:0pt;left:0pt; }
.ltx_transformed_inner > .ltx_p {text-indent:0em; margin:0; padding:0; }
/* If simulating a table (html5), try to get rowspan to work...sorta? */
span.ltx_rowspan { position:absolute; top:0; bottom:0; }
/* by default, p doesn't indent */
.ltx_p { text-indent:0em; white-space:normal; }
/* explicit control of indentation (on ltx_para) */
.ltx_indent > .ltx_p:first-child { text-indent:2em!important; }
.ltx_noindent > .ltx_p:first-child { text-indent:0em!important; }
/*======================================================================
Columns */
.ltx_page_column1 {
width:44%; float:left; } /* IE uses % of wrong container*/
.ltx_page_column2 {
width:44%; float:right; }
.ltx_page_columns > .ltx_page_column1 {
width:48%; float:left; }
.ltx_page_columns > .ltx_page_column2 {
width:48%; float:right; }
.ltx_page_columns:after {
content:"."; display:block; height:0; clear:both; visibility:hidden; }
/*======================================================================
Borders and such */
.ltx_tabular { display:inline-table; border-collapse:collapse; }
.ltx_tabular.ltx_centering { display:table; }
.ltx_thead,
.ltx_tfoot,
.ltx_tbody { display:table-row-group; }
.ltx_tr { display:table-row; }
.ltx_td,
.ltx_th { display:table-cell; }
.ltx_framed { border:1px solid black;}
.ltx_tabular .ltx_td,
.ltx_tabular .ltx_th { padding:0.1em 0.5em; }
/* regular lines */
.ltx_border_t { border-top:1px solid black; }
.ltx_border_r { border-right:1px solid black; }
.ltx_border_b { border-bottom:1px solid black; }
.ltx_border_l { border-left:1px solid black; }
/* double lines */
.ltx_border_tt { border-top:3px double black; }
.ltx_border_rr { border-right:3px double black; }
.ltx_border_bb { border-bottom:3px double black; }
.ltx_border_ll { border-left:3px double black; }
/* Light lines */
.ltx_border_T { border-top:1px solid gray; }
.ltx_border_R { border-right:1px solid gray; }
.ltx_border_B { border-bottom:1px solid gray; }
.ltx_border_L { border-left:1px solid gray; }
/* Framing */
.ltx_framed_rectangle { border-style:solid; border-width:1px; }
.ltx_framed_top { border-top-style:solid; border-top-width:1px; }
.ltx_framed_left { border-left-style:solid; border-left-width:1px; }
.ltx_framed_right { border-right-style:solid; border-right-width:1px; }
.ltx_framed_bottom,
.ltx_framed_underline { border-bottom-style:solid; border-bottom-width:1px; }
.ltx_framed_topbottom { border-top-style:solid; border-top-width:1px;
border-bottom-style:solid; border-bottom-width:1px; }
.ltx_framed_leftright { border-left-style:solid; border-left-width:1px;
border-right-style:solid; border-right-width:1px; }
/*======================================================================
Misc */
/* .ltx_verbatim*/
.ltx_verbatim { text-align:left; }
/*======================================================================
Meta stuff, footnotes */
.ltx_note_content { display:none; }
/*right:5%; */
.ltx_note_content {
max-width: 70%; font-size:90%; left:15%;
text-align:left;
background-color: white;
padding: 0.5em 1em 0.5em 1.5em;
border: 1px solid black; border-radius: 0 5px 5px 5px; box-shadow: 5px 5px 10px gray; }
.ltx_note_mark { color:blue; }
.ltx_note_type { font-weight: bold; }
.ltx_note { display:inline-block; text-indent:0; } /* So we establish containing block */
.ltx_note_content .ltx_note_mark { position:absolute; left:0.2em; top:-0.1em; }
.ltx_note:hover .ltx_note_content,
.ltx_note .ltx_note_content:hover {
display:block; position:absolute; z-index:10; }
.ltx_ERROR { color:red; }
.ltx_rdf { display:none; }
.ltx_missing { color:red;}
.ltx_nounicode { color:red; }
/*======================================================================
SVG (pgf/tikz ?) basics */
/* Stuff appearing in svg:foreignObject */
.ltx_svg_fog foreignObject { margin:0; padding:0; overflow:visible; }
.ltx_svg_fog foreignObject > p { margin:0; padding:0; display:block; }
/*.ltx_svg_fog foreignObject > p { margin:0; padding:0; display:block; white-space:nowrap; }*/
/*======================================================================
Low-level Basics */
/* Note that LaTeX(ML)'s font model doesn't map quite exactly to CSS's */
/* Font Families => font-family */
.ltx_font_serif { font-family: serif; }
.ltx_font_sansserif { font-family: sans-serif; }
.ltx_font_typewriter { font-family: monospace; }
/* dingbats should be converted to unicode? */
/* Math font families handled within math: script, symbol, fraktur, blackboard ? */
/* Font Series => font-weight */
.ltx_font_bold { font-weight: bold; }
.ltx_font_medium { font-weight: normal; }
/* Font Shapes => font-style or font-variant */
.ltx_font_italic { font-style: italic; font-variant:normal; }
.ltx_font_upright { font-style: normal; font-variant:normal; }
.ltx_font_slanted { font-style: oblique; font-variant:normal; }
.ltx_font_smallcaps { font-variant: small-caps; font-style:normal; }
.ltx_font_oldstyle { font-variant: oldstyle-nums; /* experimental css3 ? Doesn't seem to work!*/
font-style:normal;
-moz-font-feature-settings: "onum";
-ms-font-feature-settings: "onum";
-webkit-font-feature-settings: "onum";
font-variant-numeric: oldstyle-nums; }
.ltx_font_mathcaligraphic { font-family: "Lucida Calligraphy", "Zapf Chancery","URW Chancery L"; }
/*
.ltx_font_mathscript { ? }
*/
cite { font-style: normal; }
.ltx_red { color:red; }
/*.ltx_centering { text-align:center; margin:auto; }*/
/*.ltx_inline-block.ltx_centering,*/
/* Hmm.... is this right in general? */
.ltx_centering { display:block; margin:auto; text-align:center; }
/* Dubious stuff */
.ltx_hflipped {
display:inline-block;
-moz-transform: scaleX(-1);
-o-transform: scaleX(-1);
-webkit-transform: scaleX(-1);
transform: scaleX(-1);
filter: FlipH;
-ms-fliter: "FlipH"; }
.ltx_vflipped {
display:inline-block;
-moz-transform: scaleY(-1);
-o-transform: scaleY(-1);
-webkit-transform: scaleY(-1);
transform: scaleY(-1);
filter: FlipV;
-ms-fliter: "FlipV"; }
/* .ltx_phantom handled in xslt */
Also see: Tab Triggers