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|
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<!-- configuration parameters -->
<meta name="defaultView" content="slideshow" />
<meta name="controlVis" content="hidden" />
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
<meta name="generator" content="pandoc" />
<style type="text/css" media="projection" id="slideProj">
/* Do not edit or override these styles! The system will likely break if you do. */
div#header, div#footer, div#controls, .slide {position: absolute;}
html>body div#header, html>body div#footer,
html>body div#controls, html>body .slide {position: fixed;}
.handout {display: none;}
.layout {display: block;}
.slide, .hideme, .incremental {visibility: hidden;}
#slide0 {visibility: visible;}
/* The following styles size, place, and layer the slide components.
Edit these if you want to change the overall slide layout.
The commented lines can be uncommented (and modified, if necessary)
to help you with the rearrangement process. */
/* target = 1024x768 */
div#header, div#footer, .slide {width: 100%; top: 0; left: 0;}
div#header {top: 0; height: 3em; z-index: 1;}
div#footer {top: auto; bottom: 0; height: 2.5em; z-index: 5;}
.slide {top: 0; width: 92%; padding: 3.5em 4% 4%; z-index: 2; list-style: none;}
div#controls {left: 50%; bottom: 0; width: 50%; z-index: 100;}
div#controls form {position: absolute; bottom: 0; right: 0; width: 100%;
margin: 0;}
#currentSlide {position: absolute; width: 10%; left: 45%; bottom: 1em; z-index: 10;}
html>body #currentSlide {position: fixed;}
/*
div#header {background: #FCC;}
div#footer {background: #CCF;}
div#controls {background: #BBD;}
div#currentSlide {background: #FFC;}
*/
/* Following are the presentation styles -- edit away! */
body {background: #FFF url(bodybg.gif) -16px 0 no-repeat; color: #000; font-size: 2em;}
:link, :visited {text-decoration: none; color: #00C;}
#controls :active {color: #88A !important;}
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h1, h2, h3, h4 {font-size: 100%; margin: 0; padding: 0; font-weight: inherit;}
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#footer h2 {font-style: italic;}
div.long {font-size: 0.75em;}
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margin: 0; padding: 0.3em 0 0 50px; white-space: nowrap;
font: bold 150%/1em Helvetica, sans-serif; text-transform: capitalize;
color: #DDE; background: #005;}
.slide h3 {font-size: 130%;}
h1 abbr {font-variant: small-caps;}
div#controls {position: absolute; left: 50%; bottom: 0;
width: 50%;
text-align: right; font: bold 0.9em Verdana, Helvetica, sans-serif;}
html>body div#controls {position: fixed; padding: 0 0 1em 0;
top: auto;}
div#controls form {position: absolute; bottom: 0; right: 0; width: 100%;
margin: 0; padding: 0;}
#controls #navLinks a {padding: 0; margin: 0 0.5em;
background: #005; border: none; color: #779;
cursor: pointer;}
#controls #navList {height: 1em;}
#controls #navList #jumplist {position: absolute; bottom: 0; right: 0; background: #DDD; color: #227;}
#currentSlide {text-align: center; font-size: 0.5em; color: #449;}
#slide0 {padding-top: 3.5em; font-size: 90%;}
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font: bold 2em Helvetica, sans-serif; white-space: normal;
color: #000; background: transparent;}
#slide0 h2 {font: bold italic 1em Helvetica, sans-serif; margin: 0.25em;}
#slide0 h3 {margin-top: 1.5em; font-size: 1.5em;}
#slide0 h4 {margin-top: 0; font-size: 1em;}
ul.urls {list-style: none; display: inline; margin: 0;}
.urls li {display: inline; margin: 0;}
.note {display: none;}
.external {border-bottom: 1px dotted gray;}
html>body .external {border-bottom: none;}
.external:after {content: " \274F"; font-size: smaller; color: #77B;}
.incremental, .incremental *, .incremental *:after {color: #DDE; visibility: visible;}
img.incremental {visibility: hidden;}
.slide .current {color: #B02;}
/* diagnostics
li:after {content: " [" attr(class) "]"; color: #F88;}
*/
</style>
<style type="text/css" media="projection" id="operaFix">
/* DO NOT CHANGE THESE unless you really want to break Opera Show */
.slide {
visibility: visible !important;
position: static !important;
page-break-before: always;
}
#slide0 {page-break-before: avoid;}
</style>
<style type="text/css" media="screen" id="outlineStyle">
/* don't change this unless you want the layout stuff to show up in the outline view! */
.layout div, #footer *, #controlForm * {display: none;}
#footer, #controls, #controlForm, #navLinks, #toggle {
display: block; visibility: visible; margin: 0; padding: 0;}
#toggle {float: right; padding: 0.5em;}
html>body #toggle {position: fixed; top: 0; right: 0;}
/* making the outline look pretty-ish */
#slide0 h1, #slide0 h2, #slide0 h3, #slide0 h4 {border: none; margin: 0;}
#slide0 h1 {padding-top: 1.5em;}
.slide h1 {margin: 1.5em 0 0; padding-top: 0.25em;
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#toggle {border: 1px solid; border-width: 0 0 1px 1px; background: #FFF;}
</style>
<style type="text/css" media="print" id="slidePrint">
/* The following rule is necessary to have all slides appear in print! DO NOT REMOVE IT! */
.slide, ul {page-break-inside: avoid; visibility: visible !important;}
h1 {page-break-after: avoid;}
body {font-size: 12pt; background: white;}
* {color: black;}
#slide0 h1 {font-size: 200%; border: none; margin: 0.5em 0 0.25em;}
#slide0 h3 {margin: 0; padding: 0;}
#slide0 h4 {margin: 0 0 0.5em; padding: 0;}
#slide0 {margin-bottom: 3em;}
h1 {border-top: 2pt solid gray; border-bottom: 1px dotted silver;}
.extra {background: transparent !important;}
div.extra, pre.extra, .example {font-size: 10pt; color: #333;}
ul.extra a {font-weight: bold;}
p.example {display: none;}
#header {display: none;}
#footer h1 {margin: 0; border-bottom: 1px solid; color: gray; font-style: italic;}
#footer h2, #controls {display: none;}
/* The following rule keeps the layout stuff out of print. Remove at your own risk! */
.layout, .layout * {display: none !important;}
</style>
<script type="text/javascript">
// S5 v1.1 slides.js -- released into the Public Domain
//
// Please see http://www.meyerweb.com/eric/tools/s5/credits.html for information
// about all the wonderful and talented contributors to this code!
var undef;
var slideCSS = '';
var snum = 0;
var smax = 1;
var incpos = 0;
var number = undef;
var s5mode = true;
var defaultView = 'slideshow';
var controlVis = 'visible';
var isIE = navigator.appName == 'Microsoft Internet Explorer' && navigator.userAgent.indexOf('Opera') < 1 ? 1 : 0;
var isOp = navigator.userAgent.indexOf('Opera') > -1 ? 1 : 0;
var isGe = navigator.userAgent.indexOf('Gecko') > -1 && navigator.userAgent.indexOf('Safari') < 1 ? 1 : 0;
function hasClass(object, className) {
if (!object.className) return false;
return (object.className.search('(^|\\s)' + className + '(\\s|$)') != -1);
}
function hasValue(object, value) {
if (!object) return false;
return (object.search('(^|\\s)' + value + '(\\s|$)') != -1);
}
function removeClass(object,className) {
if (!object) return;
object.className = object.className.replace(new RegExp('(^|\\s)'+className+'(\\s|$)'), RegExp.$1+RegExp.$2);
}
function addClass(object,className) {
if (!object || hasClass(object, className)) return;
if (object.className) {
object.className += ' '+className;
} else {
object.className = className;
}
}
function GetElementsWithClassName(elementName,className) {
var allElements = document.getElementsByTagName(elementName);
var elemColl = new Array();
for (var i = 0; i< allElements.length; i++) {
if (hasClass(allElements[i], className)) {
elemColl[elemColl.length] = allElements[i];
}
}
return elemColl;
}
function isParentOrSelf(element, id) {
if (element == null || element.nodeName=='BODY') return false;
else if (element.id == id) return true;
else return isParentOrSelf(element.parentNode, id);
}
function nodeValue(node) {
var result = "";
if (node.nodeType == 1) {
var children = node.childNodes;
for (var i = 0; i < children.length; ++i) {
result += nodeValue(children[i]);
}
}
else if (node.nodeType == 3) {
result = node.nodeValue;
}
return(result);
}
function slideLabel() {
var slideColl = GetElementsWithClassName('*','slide');
var list = document.getElementById('jumplist');
smax = slideColl.length;
for (var n = 0; n < smax; n++) {
var obj = slideColl[n];
var did = 'slide' + n.toString();
obj.setAttribute('id',did);
if (isOp) continue;
var otext = '';
var menu = obj.firstChild;
if (!menu) continue; // to cope with empty slides
while (menu && menu.nodeType == 3) {
menu = menu.nextSibling;
}
if (!menu) continue; // to cope with slides with only text nodes
var menunodes = menu.childNodes;
for (var o = 0; o < menunodes.length; o++) {
otext += nodeValue(menunodes[o]);
}
list.options[list.length] = new Option(n + ' : ' + otext, n);
}
}
function currentSlide() {
var cs;
if (document.getElementById) {
cs = document.getElementById('currentSlide');
} else {
cs = document.currentSlide;
}
cs.innerHTML = '<span id="csHere">' + snum + '<\/span> ' +
'<span id="csSep">\/<\/span> ' +
'<span id="csTotal">' + (smax-1) + '<\/span>';
if (snum == 0) {
cs.style.visibility = 'hidden';
} else {
cs.style.visibility = 'visible';
}
}
function go(step) {
if (document.getElementById('slideProj').disabled || step == 0) return;
var jl = document.getElementById('jumplist');
var cid = 'slide' + snum;
var ce = document.getElementById(cid);
if (incrementals[snum].length > 0) {
for (var i = 0; i < incrementals[snum].length; i++) {
removeClass(incrementals[snum][i], 'current');
removeClass(incrementals[snum][i], 'incremental');
}
}
if (step != 'j') {
snum += step;
lmax = smax - 1;
if (snum > lmax) snum = lmax;
if (snum < 0) snum = 0;
} else
snum = parseInt(jl.value);
var nid = 'slide' + snum;
var ne = document.getElementById(nid);
if (!ne) {
ne = document.getElementById('slide0');
snum = 0;
}
if (step < 0) {incpos = incrementals[snum].length} else {incpos = 0;}
if (incrementals[snum].length > 0 && incpos == 0) {
for (var i = 0; i < incrementals[snum].length; i++) {
if (hasClass(incrementals[snum][i], 'current'))
incpos = i + 1;
else
addClass(incrementals[snum][i], 'incremental');
}
}
if (incrementals[snum].length > 0 && incpos > 0)
addClass(incrementals[snum][incpos - 1], 'current');
ce.style.visibility = 'hidden';
ne.style.visibility = 'visible';
jl.selectedIndex = snum;
currentSlide();
number = 0;
}
function goTo(target) {
if (target >= smax || target == snum) return;
go(target - snum);
}
function subgo(step) {
if (step > 0) {
removeClass(incrementals[snum][incpos - 1],'current');
removeClass(incrementals[snum][incpos], 'incremental');
addClass(incrementals[snum][incpos],'current');
incpos++;
} else {
incpos--;
removeClass(incrementals[snum][incpos],'current');
addClass(incrementals[snum][incpos], 'incremental');
addClass(incrementals[snum][incpos - 1],'current');
}
}
function toggle() {
var slideColl = GetElementsWithClassName('*','slide');
var slides = document.getElementById('slideProj');
var outline = document.getElementById('outlineStyle');
if (!slides.disabled) {
slides.disabled = true;
outline.disabled = false;
s5mode = false;
fontSize('1em');
for (var n = 0; n < smax; n++) {
var slide = slideColl[n];
slide.style.visibility = 'visible';
}
} else {
slides.disabled = false;
outline.disabled = true;
s5mode = true;
fontScale();
for (var n = 0; n < smax; n++) {
var slide = slideColl[n];
slide.style.visibility = 'hidden';
}
slideColl[snum].style.visibility = 'visible';
}
}
function showHide(action) {
var obj = GetElementsWithClassName('*','hideme')[0];
switch (action) {
case 's': obj.style.visibility = 'visible'; break;
case 'h': obj.style.visibility = 'hidden'; break;
case 'k':
if (obj.style.visibility != 'visible') {
obj.style.visibility = 'visible';
} else {
obj.style.visibility = 'hidden';
}
break;
}
}
// 'keys' code adapted from MozPoint (http://mozpoint.mozdev.org/)
function keys(key) {
if (!key) {
key = event;
key.which = key.keyCode;
}
if (key.which == 84) {
toggle();
return;
}
if (s5mode) {
switch (key.which) {
case 10: // return
case 13: // enter
if (window.event && isParentOrSelf(window.event.srcElement, 'controls')) return;
if (key.target && isParentOrSelf(key.target, 'controls')) return;
if(number != undef) {
goTo(number);
break;
}
case 32: // spacebar
case 34: // page down
case 39: // rightkey
case 40: // downkey
if(number != undef) {
go(number);
} else if (!incrementals[snum] || incpos >= incrementals[snum].length) {
go(1);
} else {
subgo(1);
}
break;
case 33: // page up
case 37: // leftkey
case 38: // upkey
if(number != undef) {
go(-1 * number);
} else if (!incrementals[snum] || incpos <= 0) {
go(-1);
} else {
subgo(-1);
}
break;
case 36: // home
goTo(0);
break;
case 35: // end
goTo(smax-1);
break;
case 67: // c
showHide('k');
break;
}
if (key.which < 48 || key.which > 57) {
number = undef;
} else {
if (window.event && isParentOrSelf(window.event.srcElement, 'controls')) return;
if (key.target && isParentOrSelf(key.target, 'controls')) return;
number = (((number != undef) ? number : 0) * 10) + (key.which - 48);
}
}
return false;
}
function clicker(e) {
number = undef;
var target;
if (window.event) {
target = window.event.srcElement;
e = window.event;
} else target = e.target;
if (target.getAttribute('href') != null || hasValue(target.rel, 'external') || isParentOrSelf(target, 'controls') || isParentOrSelf(target,'embed') || isParentOrSelf(target,'object')) return true;
if (!e.which || e.which == 1) {
if (!incrementals[snum] || incpos >= incrementals[snum].length) {
go(1);
} else {
subgo(1);
}
}
}
function findSlide(hash) {
var target = null;
var slides = GetElementsWithClassName('*','slide');
for (var i = 0; i < slides.length; i++) {
var targetSlide = slides[i];
if ( (targetSlide.name && targetSlide.name == hash)
|| (targetSlide.id && targetSlide.id == hash) ) {
target = targetSlide;
break;
}
}
while(target != null && target.nodeName != 'BODY') {
if (hasClass(target, 'slide')) {
return parseInt(target.id.slice(5));
}
target = target.parentNode;
}
return null;
}
function slideJump() {
if (window.location.hash == null) return;
var sregex = /^#slide(\d+)$/;
var matches = sregex.exec(window.location.hash);
var dest = null;
if (matches != null) {
dest = parseInt(matches[1]);
} else {
dest = findSlide(window.location.hash.slice(1));
}
if (dest != null)
go(dest - snum);
}
function fixLinks() {
var thisUri = window.location.href;
thisUri = thisUri.slice(0, thisUri.length - window.location.hash.length);
var aelements = document.getElementsByTagName('A');
for (var i = 0; i < aelements.length; i++) {
var a = aelements[i].href;
var slideID = a.match('\#slide[0-9]{1,2}');
if ((slideID) && (slideID[0].slice(0,1) == '#')) {
var dest = findSlide(slideID[0].slice(1));
if (dest != null) {
if (aelements[i].addEventListener) {
aelements[i].addEventListener("click", new Function("e",
"if (document.getElementById('slideProj').disabled) return;" +
"go("+dest+" - snum); " +
"if (e.preventDefault) e.preventDefault();"), true);
} else if (aelements[i].attachEvent) {
aelements[i].attachEvent("onclick", new Function("",
"if (document.getElementById('slideProj').disabled) return;" +
"go("+dest+" - snum); " +
"event.returnValue = false;"));
}
}
}
}
}
function externalLinks() {
if (!document.getElementsByTagName) return;
var anchors = document.getElementsByTagName('a');
for (var i=0; i<anchors.length; i++) {
var anchor = anchors[i];
if (anchor.getAttribute('href') && hasValue(anchor.rel, 'external')) {
anchor.target = '_blank';
addClass(anchor,'external');
}
}
}
function createControls() {
var controlsDiv = document.getElementById("controls");
if (!controlsDiv) return;
var hider = ' onmouseover="showHide(\'s\');" onmouseout="showHide(\'h\');"';
var hideDiv, hideList = '';
if (controlVis == 'hidden') {
hideDiv = hider;
} else {
hideList = hider;
}
controlsDiv.innerHTML = '<form action="#" id="controlForm"' + hideDiv + '>' +
'<div id="navLinks">' +
'<a accesskey="t" id="toggle" href="javascript:toggle();">Ø<\/a>' +
'<a accesskey="z" id="prev" href="javascript:go(-1);">«<\/a>' +
'<a accesskey="x" id="next" href="javascript:go(1);">»<\/a>' +
'<div id="navList"' + hideList + '><select id="jumplist" onchange="go(\'j\');"><\/select><\/div>' +
'<\/div><\/form>';
if (controlVis == 'hidden') {
var hidden = document.getElementById('navLinks');
} else {
var hidden = document.getElementById('jumplist');
}
addClass(hidden,'hideme');
}
function fontScale() { // causes layout problems in FireFox that get fixed if browser's Reload is used; same may be true of other Gecko-based browsers
if (!s5mode) return false;
var vScale = 22; // both yield 32 (after rounding) at 1024x768
var hScale = 32; // perhaps should auto-calculate based on theme's declared value?
if (window.innerHeight) {
var vSize = window.innerHeight;
var hSize = window.innerWidth;
} else if (document.documentElement.clientHeight) {
var vSize = document.documentElement.clientHeight;
var hSize = document.documentElement.clientWidth;
} else if (document.body.clientHeight) {
var vSize = document.body.clientHeight;
var hSize = document.body.clientWidth;
} else {
var vSize = 700; // assuming 1024x768, minus chrome and such
var hSize = 1024; // these do not account for kiosk mode or Opera Show
}
var newSize = Math.min(Math.round(vSize/vScale),Math.round(hSize/hScale));
fontSize(newSize + 'px');
if (isGe) { // hack to counter incremental reflow bugs
var obj = document.getElementsByTagName('body')[0];
obj.style.display = 'none';
obj.style.display = 'block';
}
}
function fontSize(value) {
if (!(s5ss = document.getElementById('s5ss'))) {
if (!isIE) {
document.getElementsByTagName('head')[0].appendChild(s5ss = document.createElement('style'));
s5ss.setAttribute('media','screen, projection');
s5ss.setAttribute('id','s5ss');
} else {
document.createStyleSheet();
document.s5ss = document.styleSheets[document.styleSheets.length - 1];
}
}
if (!isIE) {
while (s5ss.lastChild) s5ss.removeChild(s5ss.lastChild);
s5ss.appendChild(document.createTextNode('body {font-size: ' + value + ' !important;}'));
} else {
document.s5ss.addRule('body','font-size: ' + value + ' !important;');
}
}
function notOperaFix() {
slideCSS = document.getElementById('slideProj').href;
var slides = document.getElementById('slideProj');
var outline = document.getElementById('outlineStyle');
slides.setAttribute('media','screen');
outline.disabled = true;
if (isGe) {
slides.setAttribute('href','null'); // Gecko fix
slides.setAttribute('href',slideCSS); // Gecko fix
}
if (isIE && document.styleSheets && document.styleSheets[0]) {
document.styleSheets[0].addRule('img', 'behavior: url(ui/default/iepngfix.htc)');
document.styleSheets[0].addRule('div', 'behavior: url(ui/default/iepngfix.htc)');
document.styleSheets[0].addRule('.slide', 'behavior: url(ui/default/iepngfix.htc)');
}
}
function getIncrementals(obj) {
var incrementals = new Array();
if (!obj)
return incrementals;
var children = obj.childNodes;
for (var i = 0; i < children.length; i++) {
var child = children[i];
if (hasClass(child, 'incremental')) {
if (child.nodeName == 'OL' || child.nodeName == 'UL') {
removeClass(child, 'incremental');
for (var j = 0; j < child.childNodes.length; j++) {
if (child.childNodes[j].nodeType == 1) {
addClass(child.childNodes[j], 'incremental');
}
}
} else {
incrementals[incrementals.length] = child;
removeClass(child,'incremental');
}
}
if (hasClass(child, 'show-first')) {
if (child.nodeName == 'OL' || child.nodeName == 'UL') {
removeClass(child, 'show-first');
if (child.childNodes[isGe].nodeType == 1) {
removeClass(child.childNodes[isGe], 'incremental');
}
} else {
incrementals[incrementals.length] = child;
}
}
incrementals = incrementals.concat(getIncrementals(child));
}
return incrementals;
}
function createIncrementals() {
var incrementals = new Array();
for (var i = 0; i < smax; i++) {
incrementals[i] = getIncrementals(document.getElementById('slide'+i));
}
return incrementals;
}
function defaultCheck() {
var allMetas = document.getElementsByTagName('meta');
for (var i = 0; i< allMetas.length; i++) {
if (allMetas[i].name == 'defaultView') {
defaultView = allMetas[i].content;
}
if (allMetas[i].name == 'controlVis') {
controlVis = allMetas[i].content;
}
}
}
// Key trap fix, new function body for trap()
function trap(e) {
if (!e) {
e = event;
e.which = e.keyCode;
}
try {
modifierKey = e.ctrlKey || e.altKey || e.metaKey;
}
catch(e) {
modifierKey = false;
}
return modifierKey || e.which == 0;
}
function startup() {
defaultCheck();
if (!isOp)
createControls();
slideLabel();
fixLinks();
externalLinks();
fontScale();
if (!isOp) {
notOperaFix();
incrementals = createIncrementals();
slideJump();
if (defaultView == 'outline') {
toggle();
}
document.onkeyup = keys;
document.onkeypress = trap;
document.onclick = clicker;
}
}
window.onload = startup;
window.onresize = function(){setTimeout('fontScale()', 50);}</script>
<script type="text/javascript">
/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
var checkForMathML = true; // check if browser can display MathML
var notifyIfNoMathML = true; // display note if no MathML capability
var alertIfNoMathML = false; // show alert box if no MathML capability
var mathcolor = ""; // change it to "" (to inherit) or any other color
var mathfontfamily = "serif"; // change to "" to inherit (works in IE)
// or another family (e.g. "arial")
var displaystyle = true; // puts limits above and below large operators
var showasciiformulaonhover = true; // helps students learn ASCIIMath
var decimalsign = "."; // change to "," if you like, beware of `(1,2)`!
var AMdelimiter1 = "`", AMescape1 = "\\\\`"; // can use other characters
var AMdelimiter2 = "$", AMescape2 = "\\\\\\$", AMdelimiter2regexp = "\\$";
var doubleblankmathdelimiter = false; // if true, x+1 is equal to `x+1`
// for IE this works only in <!-- -->
//var separatetokens;// has been removed (email me if this is a problem)
var isIE = document.createElementNS==null;
if (document.getElementById==null)
alert("This webpage requires a recent browser such as\
\nMozilla/Netscape 7+ or Internet Explorer 6+MathPlayer")
// all further global variables start with "AM"
function AMcreateElementXHTML(t) {
if (isIE) return document.createElement(t);
else return document.createElementNS("http://www.w3.org/1999/xhtml",t);
}
function AMnoMathMLNote() {
var nd = AMcreateElementXHTML("h3");
nd.setAttribute("align","center")
nd.appendChild(AMcreateElementXHTML("p"));
nd.appendChild(document.createTextNode("To view the "));
var an = AMcreateElementXHTML("a");
an.appendChild(document.createTextNode("ASCIIMathML"));
an.setAttribute("href","http://www.chapman.edu/~jipsen/asciimath.html");
nd.appendChild(an);
nd.appendChild(document.createTextNode(" notation use Internet Explorer 6+"));
an = AMcreateElementXHTML("a");
an.appendChild(document.createTextNode("MathPlayer"));
an.setAttribute("href","http://www.dessci.com/en/products/mathplayer/download.htm");
nd.appendChild(an);
nd.appendChild(document.createTextNode(" or Netscape/Mozilla/Firefox"));
nd.appendChild(AMcreateElementXHTML("p"));
return nd;
}
function AMisMathMLavailable() {
var regex = /KHTML/; /* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
if (navigator.appName.slice(0,8)=="Netscape")
if (navigator.appVersion.slice(0,1)>="5" && !regex.test(navigator.userAgent)) return null;
else return AMnoMathMLNote();
else if (navigator.appName.slice(0,9)=="Microsoft")
try {
var ActiveX = new ActiveXObject("MathPlayer.Factory.1");
return null;
} catch (e) {
return AMnoMathMLNote();
}
else return AMnoMathMLNote();
}
// character lists for Mozilla/Netscape fonts
var AMcal = [0xEF35,0x212C,0xEF36,0xEF37,0x2130,0x2131,0xEF38,0x210B,0x2110,0xEF39,0xEF3A,0x2112,0x2133,0xEF3B,0xEF3C,0xEF3D,0xEF3E,0x211B,0xEF3F,0xEF40,0xEF41,0xEF42,0xEF43,0xEF44,0xEF45,0xEF46];
var AMfrk = [0xEF5D,0xEF5E,0x212D,0xEF5F,0xEF60,0xEF61,0xEF62,0x210C,0x2111,0xEF63,0xEF64,0xEF65,0xEF66,0xEF67,0xEF68,0xEF69,0xEF6A,0x211C,0xEF6B,0xEF6C,0xEF6D,0xEF6E,0xEF6F,0xEF70,0xEF71,0x2128];
var AMbbb = [0xEF8C,0xEF8D,0x2102,0xEF8E,0xEF8F,0xEF90,0xEF91,0x210D,0xEF92,0xEF93,0xEF94,0xEF95,0xEF96,0x2115,0xEF97,0x2119,0x211A,0x211D,0xEF98,0xEF99,0xEF9A,0xEF9B,0xEF9C,0xEF9D,0xEF9E,0x2124];
var CONST = 0, UNARY = 1, BINARY = 2, INFIX = 3, LEFTBRACKET = 4,
RIGHTBRACKET = 5, SPACE = 6, UNDEROVER = 7, DEFINITION = 8,
LEFTRIGHT = 9, TEXT = 10; // token types
var AMsqrt = {input:"sqrt", tag:"msqrt", output:"sqrt", tex:null, ttype:UNARY},
AMroot = {input:"root", tag:"mroot", output:"root", tex:null, ttype:BINARY},
AMfrac = {input:"frac", tag:"mfrac", output:"/", tex:null, ttype:BINARY},
AMdiv = {input:"/", tag:"mfrac", output:"/", tex:null, ttype:INFIX},
AMover = {input:"stackrel", tag:"mover", output:"stackrel", tex:null, ttype:BINARY},
AMsub = {input:"_", tag:"msub", output:"_", tex:null, ttype:INFIX},
AMsup = {input:"^", tag:"msup", output:"^", tex:null, ttype:INFIX},
AMtext = {input:"text", tag:"mtext", output:"text", tex:null, ttype:TEXT},
AMmbox = {input:"mbox", tag:"mtext", output:"mbox", tex:null, ttype:TEXT},
AMquote = {input:"\"", tag:"mtext", output:"mbox", tex:null, ttype:TEXT};
var AMsymbols = [
//some greek symbols
{input:"alpha", tag:"mi", output:"\u03B1", tex:null, ttype:CONST},
{input:"beta", tag:"mi", output:"\u03B2", tex:null, ttype:CONST},
{input:"chi", tag:"mi", output:"\u03C7", tex:null, ttype:CONST},
{input:"delta", tag:"mi", output:"\u03B4", tex:null, ttype:CONST},
{input:"Delta", tag:"mo", output:"\u0394", tex:null, ttype:CONST},
{input:"epsi", tag:"mi", output:"\u03B5", tex:"epsilon", ttype:CONST},
{input:"varepsilon", tag:"mi", output:"\u025B", tex:null, ttype:CONST},
{input:"eta", tag:"mi", output:"\u03B7", tex:null, ttype:CONST},
{input:"gamma", tag:"mi", output:"\u03B3", tex:null, ttype:CONST},
{input:"Gamma", tag:"mo", output:"\u0393", tex:null, ttype:CONST},
{input:"iota", tag:"mi", output:"\u03B9", tex:null, ttype:CONST},
{input:"kappa", tag:"mi", output:"\u03BA", tex:null, ttype:CONST},
{input:"lambda", tag:"mi", output:"\u03BB", tex:null, ttype:CONST},
{input:"Lambda", tag:"mo", output:"\u039B", tex:null, ttype:CONST},
{input:"mu", tag:"mi", output:"\u03BC", tex:null, ttype:CONST},
{input:"nu", tag:"mi", output:"\u03BD", tex:null, ttype:CONST},
{input:"omega", tag:"mi", output:"\u03C9", tex:null, ttype:CONST},
{input:"Omega", tag:"mo", output:"\u03A9", tex:null, ttype:CONST},
{input:"phi", tag:"mi", output:"\u03C6", tex:null, ttype:CONST},
{input:"varphi", tag:"mi", output:"\u03D5", tex:null, ttype:CONST},
{input:"Phi", tag:"mo", output:"\u03A6", tex:null, ttype:CONST},
{input:"pi", tag:"mi", output:"\u03C0", tex:null, ttype:CONST},
{input:"Pi", tag:"mo", output:"\u03A0", tex:null, ttype:CONST},
{input:"psi", tag:"mi", output:"\u03C8", tex:null, ttype:CONST},
{input:"Psi", tag:"mi", output:"\u03A8", tex:null, ttype:CONST},
{input:"rho", tag:"mi", output:"\u03C1", tex:null, ttype:CONST},
{input:"sigma", tag:"mi", output:"\u03C3", tex:null, ttype:CONST},
{input:"Sigma", tag:"mo", output:"\u03A3", tex:null, ttype:CONST},
{input:"tau", tag:"mi", output:"\u03C4", tex:null, ttype:CONST},
{input:"theta", tag:"mi", output:"\u03B8", tex:null, ttype:CONST},
{input:"vartheta", tag:"mi", output:"\u03D1", tex:null, ttype:CONST},
{input:"Theta", tag:"mo", output:"\u0398", tex:null, ttype:CONST},
{input:"upsilon", tag:"mi", output:"\u03C5", tex:null, ttype:CONST},
{input:"xi", tag:"mi", output:"\u03BE", tex:null, ttype:CONST},
{input:"Xi", tag:"mo", output:"\u039E", tex:null, ttype:CONST},
{input:"zeta", tag:"mi", output:"\u03B6", tex:null, ttype:CONST},
//binary operation symbols
{input:"*", tag:"mo", output:"\u22C5", tex:"cdot", ttype:CONST},
{input:"**", tag:"mo", output:"\u22C6", tex:"star", ttype:CONST},
{input:"//", tag:"mo", output:"/", tex:null, ttype:CONST},
{input:"\\\\", tag:"mo", output:"\\", tex:"backslash", ttype:CONST},
{input:"setminus", tag:"mo", output:"\\", tex:null, ttype:CONST},
{input:"xx", tag:"mo", output:"\u00D7", tex:"times", ttype:CONST},
{input:"-:", tag:"mo", output:"\u00F7", tex:"divide", ttype:CONST},
{input:"@", tag:"mo", output:"\u2218", tex:"circ", ttype:CONST},
{input:"o+", tag:"mo", output:"\u2295", tex:"oplus", ttype:CONST},
{input:"ox", tag:"mo", output:"\u2297", tex:"otimes", ttype:CONST},
{input:"o.", tag:"mo", output:"\u2299", tex:"odot", ttype:CONST},
{input:"sum", tag:"mo", output:"\u2211", tex:null, ttype:UNDEROVER},
{input:"prod", tag:"mo", output:"\u220F", tex:null, ttype:UNDEROVER},
{input:"^^", tag:"mo", output:"\u2227", tex:"wedge", ttype:CONST},
{input:"^^^", tag:"mo", output:"\u22C0", tex:"bigwedge", ttype:UNDEROVER},
{input:"vv", tag:"mo", output:"\u2228", tex:"vee", ttype:CONST},
{input:"vvv", tag:"mo", output:"\u22C1", tex:"bigvee", ttype:UNDEROVER},
{input:"nn", tag:"mo", output:"\u2229", tex:"cap", ttype:CONST},
{input:"nnn", tag:"mo", output:"\u22C2", tex:"bigcap", ttype:UNDEROVER},
{input:"uu", tag:"mo", output:"\u222A", tex:"cup", ttype:CONST},
{input:"uuu", tag:"mo", output:"\u22C3", tex:"bigcup", ttype:UNDEROVER},
//binary relation symbols
{input:"!=", tag:"mo", output:"\u2260", tex:"ne", ttype:CONST},
{input:":=", tag:"mo", output:":=", tex:null, ttype:CONST},
{input:"lt", tag:"mo", output:"<", tex:null, ttype:CONST},
{input:"<=", tag:"mo", output:"\u2264", tex:"le", ttype:CONST},
{input:"lt=", tag:"mo", output:"\u2264", tex:"leq", ttype:CONST},
{input:">=", tag:"mo", output:"\u2265", tex:"ge", ttype:CONST},
{input:"geq", tag:"mo", output:"\u2265", tex:null, ttype:CONST},
{input:"-<", tag:"mo", output:"\u227A", tex:"prec", ttype:CONST},
{input:"-lt", tag:"mo", output:"\u227A", tex:null, ttype:CONST},
{input:">-", tag:"mo", output:"\u227B", tex:"succ", ttype:CONST},
{input:"-<=", tag:"mo", output:"\u2AAF", tex:"preceq", ttype:CONST},
{input:">-=", tag:"mo", output:"\u2AB0", tex:"succeq", ttype:CONST},
{input:"in", tag:"mo", output:"\u2208", tex:null, ttype:CONST},
{input:"!in", tag:"mo", output:"\u2209", tex:"notin", ttype:CONST},
{input:"sub", tag:"mo", output:"\u2282", tex:"subset", ttype:CONST},
{input:"sup", tag:"mo", output:"\u2283", tex:"supset", ttype:CONST},
{input:"sube", tag:"mo", output:"\u2286", tex:"subseteq", ttype:CONST},
{input:"supe", tag:"mo", output:"\u2287", tex:"supseteq", ttype:CONST},
{input:"-=", tag:"mo", output:"\u2261", tex:"equiv", ttype:CONST},
{input:"~=", tag:"mo", output:"\u2245", tex:"cong", ttype:CONST},
{input:"~~", tag:"mo", output:"\u2248", tex:"approx", ttype:CONST},
{input:"prop", tag:"mo", output:"\u221D", tex:"propto", ttype:CONST},
//logical symbols
{input:"and", tag:"mtext", output:"and", tex:null, ttype:SPACE},
{input:"or", tag:"mtext", output:"or", tex:null, ttype:SPACE},
{input:"not", tag:"mo", output:"\u00AC", tex:"neg", ttype:CONST},
{input:"=>", tag:"mo", output:"\u21D2", tex:"implies", ttype:CONST},
{input:"if", tag:"mo", output:"if", tex:null, ttype:SPACE},
{input:"<=>", tag:"mo", output:"\u21D4", tex:"iff", ttype:CONST},
{input:"AA", tag:"mo", output:"\u2200", tex:"forall", ttype:CONST},
{input:"EE", tag:"mo", output:"\u2203", tex:"exists", ttype:CONST},
{input:"_|_", tag:"mo", output:"\u22A5", tex:"bot", ttype:CONST},
{input:"TT", tag:"mo", output:"\u22A4", tex:"top", ttype:CONST},
{input:"|--", tag:"mo", output:"\u22A2", tex:"vdash", ttype:CONST},
{input:"|==", tag:"mo", output:"\u22A8", tex:"models", ttype:CONST},
//grouping brackets
{input:"(", tag:"mo", output:"(", tex:null, ttype:LEFTBRACKET},
{input:")", tag:"mo", output:")", tex:null, ttype:RIGHTBRACKET},
{input:"[", tag:"mo", output:"[", tex:null, ttype:LEFTBRACKET},
{input:"]", tag:"mo", output:"]", tex:null, ttype:RIGHTBRACKET},
{input:"{", tag:"mo", output:"{", tex:null, ttype:LEFTBRACKET},
{input:"}", tag:"mo", output:"}", tex:null, ttype:RIGHTBRACKET},
{input:"|", tag:"mo", output:"|", tex:null, ttype:LEFTRIGHT},
//{input:"||", tag:"mo", output:"||", tex:null, ttype:LEFTRIGHT},
{input:"(:", tag:"mo", output:"\u2329", tex:"langle", ttype:LEFTBRACKET},
{input:":)", tag:"mo", output:"\u232A", tex:"rangle", ttype:RIGHTBRACKET},
{input:"<<", tag:"mo", output:"\u2329", tex:null, ttype:LEFTBRACKET},
{input:">>", tag:"mo", output:"\u232A", tex:null, ttype:RIGHTBRACKET},
{input:"{:", tag:"mo", output:"{:", tex:null, ttype:LEFTBRACKET, invisible:true},
{input:":}", tag:"mo", output:":}", tex:null, ttype:RIGHTBRACKET, invisible:true},
//miscellaneous symbols
{input:"int", tag:"mo", output:"\u222B", tex:null, ttype:CONST},
{input:"dx", tag:"mi", output:"{:d x:}", tex:null, ttype:DEFINITION},
{input:"dy", tag:"mi", output:"{:d y:}", tex:null, ttype:DEFINITION},
{input:"dz", tag:"mi", output:"{:d z:}", tex:null, ttype:DEFINITION},
{input:"dt", tag:"mi", output:"{:d t:}", tex:null, ttype:DEFINITION},
{input:"oint", tag:"mo", output:"\u222E", tex:null, ttype:CONST},
{input:"del", tag:"mo", output:"\u2202", tex:"partial", ttype:CONST},
{input:"grad", tag:"mo", output:"\u2207", tex:"nabla", ttype:CONST},
{input:"+-", tag:"mo", output:"\u00B1", tex:"pm", ttype:CONST},
{input:"O/", tag:"mo", output:"\u2205", tex:"emptyset", ttype:CONST},
{input:"oo", tag:"mo", output:"\u221E", tex:"infty", ttype:CONST},
{input:"aleph", tag:"mo", output:"\u2135", tex:null, ttype:CONST},
{input:"...", tag:"mo", output:"...", tex:"ldots", ttype:CONST},
{input:":.", tag:"mo", output:"\u2234", tex:"therefore", ttype:CONST},
{input:"/_", tag:"mo", output:"\u2220", tex:"angle", ttype:CONST},
{input:"\\ ", tag:"mo", output:"\u00A0", tex:null, ttype:CONST},
{input:"quad", tag:"mo", output:"\u00A0\u00A0", tex:null, ttype:CONST},
{input:"qquad", tag:"mo", output:"\u00A0\u00A0\u00A0\u00A0", tex:null, ttype:CONST},
{input:"cdots", tag:"mo", output:"\u22EF", tex:null, ttype:CONST},
{input:"vdots", tag:"mo", output:"\u22EE", tex:null, ttype:CONST},
{input:"ddots", tag:"mo", output:"\u22F1", tex:null, ttype:CONST},
{input:"diamond", tag:"mo", output:"\u22C4", tex:null, ttype:CONST},
{input:"square", tag:"mo", output:"\u25A1", tex:null, ttype:CONST},
{input:"|__", tag:"mo", output:"\u230A", tex:"lfloor", ttype:CONST},
{input:"__|", tag:"mo", output:"\u230B", tex:"rfloor", ttype:CONST},
{input:"|~", tag:"mo", output:"\u2308", tex:"lceiling", ttype:CONST},
{input:"~|", tag:"mo", output:"\u2309", tex:"rceiling", ttype:CONST},
{input:"CC", tag:"mo", output:"\u2102", tex:null, ttype:CONST},
{input:"NN", tag:"mo", output:"\u2115", tex:null, ttype:CONST},
{input:"QQ", tag:"mo", output:"\u211A", tex:null, ttype:CONST},
{input:"RR", tag:"mo", output:"\u211D", tex:null, ttype:CONST},
{input:"ZZ", tag:"mo", output:"\u2124", tex:null, ttype:CONST},
{input:"f", tag:"mi", output:"f", tex:null, ttype:UNARY, func:true},
{input:"g", tag:"mi", output:"g", tex:null, ttype:UNARY, func:true},
//standard functions
{input:"lim", tag:"mo", output:"lim", tex:null, ttype:UNDEROVER},
{input:"Lim", tag:"mo", output:"Lim", tex:null, ttype:UNDEROVER},
{input:"sin", tag:"mo", output:"sin", tex:null, ttype:UNARY, func:true},
{input:"cos", tag:"mo", output:"cos", tex:null, ttype:UNARY, func:true},
{input:"tan", tag:"mo", output:"tan", tex:null, ttype:UNARY, func:true},
{input:"sinh", tag:"mo", output:"sinh", tex:null, ttype:UNARY, func:true},
{input:"cosh", tag:"mo", output:"cosh", tex:null, ttype:UNARY, func:true},
{input:"tanh", tag:"mo", output:"tanh", tex:null, ttype:UNARY, func:true},
{input:"cot", tag:"mo", output:"cot", tex:null, ttype:UNARY, func:true},
{input:"sec", tag:"mo", output:"sec", tex:null, ttype:UNARY, func:true},
{input:"csc", tag:"mo", output:"csc", tex:null, ttype:UNARY, func:true},
{input:"log", tag:"mo", output:"log", tex:null, ttype:UNARY, func:true},
{input:"ln", tag:"mo", output:"ln", tex:null, ttype:UNARY, func:true},
{input:"det", tag:"mo", output:"det", tex:null, ttype:UNARY, func:true},
{input:"dim", tag:"mo", output:"dim", tex:null, ttype:CONST},
{input:"mod", tag:"mo", output:"mod", tex:null, ttype:CONST},
{input:"gcd", tag:"mo", output:"gcd", tex:null, ttype:UNARY, func:true},
{input:"lcm", tag:"mo", output:"lcm", tex:null, ttype:UNARY, func:true},
{input:"lub", tag:"mo", output:"lub", tex:null, ttype:CONST},
{input:"glb", tag:"mo", output:"glb", tex:null, ttype:CONST},
{input:"min", tag:"mo", output:"min", tex:null, ttype:UNDEROVER},
{input:"max", tag:"mo", output:"max", tex:null, ttype:UNDEROVER},
//arrows
{input:"uarr", tag:"mo", output:"\u2191", tex:"uparrow", ttype:CONST},
{input:"darr", tag:"mo", output:"\u2193", tex:"downarrow", ttype:CONST},
{input:"rarr", tag:"mo", output:"\u2192", tex:"rightarrow", ttype:CONST},
{input:"->", tag:"mo", output:"\u2192", tex:"to", ttype:CONST},
{input:"|->", tag:"mo", output:"\u21A6", tex:"mapsto", ttype:CONST},
{input:"larr", tag:"mo", output:"\u2190", tex:"leftarrow", ttype:CONST},
{input:"harr", tag:"mo", output:"\u2194", tex:"leftrightarrow", ttype:CONST},
{input:"rArr", tag:"mo", output:"\u21D2", tex:"Rightarrow", ttype:CONST},
{input:"lArr", tag:"mo", output:"\u21D0", tex:"Leftarrow", ttype:CONST},
{input:"hArr", tag:"mo", output:"\u21D4", tex:"Leftrightarrow", ttype:CONST},
//commands with argument
AMsqrt, AMroot, AMfrac, AMdiv, AMover, AMsub, AMsup,
{input:"hat", tag:"mover", output:"\u005E", tex:null, ttype:UNARY, acc:true},
{input:"bar", tag:"mover", output:"\u00AF", tex:"overline", ttype:UNARY, acc:true},
{input:"vec", tag:"mover", output:"\u2192", tex:null, ttype:UNARY, acc:true},
{input:"dot", tag:"mover", output:".", tex:null, ttype:UNARY, acc:true},
{input:"ddot", tag:"mover", output:"..", tex:null, ttype:UNARY, acc:true},
{input:"ul", tag:"munder", output:"\u0332", tex:"underline", ttype:UNARY, acc:true},
AMtext, AMmbox, AMquote,
{input:"bb", tag:"mstyle", atname:"fontweight", atval:"bold", output:"bb", tex:null, ttype:UNARY},
{input:"mathbf", tag:"mstyle", atname:"fontweight", atval:"bold", output:"mathbf", tex:null, ttype:UNARY},
{input:"sf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"sf", tex:null, ttype:UNARY},
{input:"mathsf", tag:"mstyle", atname:"fontfamily", atval:"sans-serif", output:"mathsf", tex:null, ttype:UNARY},
{input:"bbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"bbb", tex:null, ttype:UNARY, codes:AMbbb},
{input:"mathbb", tag:"mstyle", atname:"mathvariant", atval:"double-struck", output:"mathbb", tex:null, ttype:UNARY, codes:AMbbb},
{input:"cc", tag:"mstyle", atname:"mathvariant", atval:"script", output:"cc", tex:null, ttype:UNARY, codes:AMcal},
{input:"mathcal", tag:"mstyle", atname:"mathvariant", atval:"script", output:"mathcal", tex:null, ttype:UNARY, codes:AMcal},
{input:"tt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"tt", tex:null, ttype:UNARY},
{input:"mathtt", tag:"mstyle", atname:"fontfamily", atval:"monospace", output:"mathtt", tex:null, ttype:UNARY},
{input:"fr", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"fr", tex:null, ttype:UNARY, codes:AMfrk},
{input:"mathfrak", tag:"mstyle", atname:"mathvariant", atval:"fraktur", output:"mathfrak", tex:null, ttype:UNARY, codes:AMfrk}
];
function compareNames(s1,s2) {
if (s1.input > s2.input) return 1
else return -1;
}
var AMnames = []; //list of input symbols
function AMinitSymbols() {
var texsymbols = [], i;
for (i=0; i<AMsymbols.length; i++)
if (AMsymbols[i].tex)
texsymbols[texsymbols.length] = {input:AMsymbols[i].tex,
tag:AMsymbols[i].tag, output:AMsymbols[i].output, ttype:AMsymbols[i].ttype};
AMsymbols = AMsymbols.concat(texsymbols);
AMsymbols.sort(compareNames);
for (i=0; i<AMsymbols.length; i++) AMnames[i] = AMsymbols[i].input;
}
var AMmathml = "http://www.w3.org/1998/Math/MathML";
function AMcreateElementMathML(t) {
if (isIE) return document.createElement("m:"+t);
else return document.createElementNS(AMmathml,t);
}
function AMcreateMmlNode(t,frag) {
// var node = AMcreateElementMathML(name);
if (isIE) var node = document.createElement("m:"+t);
else var node = document.createElementNS(AMmathml,t);
node.appendChild(frag);
return node;
}
function newcommand(oldstr,newstr) {
AMsymbols = AMsymbols.concat([{input:oldstr, tag:"mo", output:newstr,
tex:null, ttype:DEFINITION}]);
}
function AMremoveCharsAndBlanks(str,n) {
//remove n characters and any following blanks
var st;
if (str.charAt(n)=="\\" && str.charAt(n+1)!="\\" && str.charAt(n+1)!=" ")
st = str.slice(n+1);
else st = str.slice(n);
for (var i=0; i<st.length && st.charCodeAt(i)<=32; i=i+1);
return st.slice(i);
}
function AMposition(arr, str, n) {
// return position >=n where str appears or would be inserted
// assumes arr is sorted
if (n==0) {
var h,m;
n = -1;
h = arr.length;
while (n+1<h) {
m = (n+h) >> 1;
if (arr[m]<str) n = m; else h = m;
}
return h;
} else
for (var i=n; i<arr.length && arr[i]<str; i++);
return i; // i=arr.length || arr[i]>=str
}
function AMgetSymbol(str) {
//return maximal initial substring of str that appears in names
//return null if there is none
var k = 0; //new pos
var j = 0; //old pos
var mk; //match pos
var st;
var tagst;
var match = "";
var more = true;
for (var i=1; i<=str.length && more; i++) {
st = str.slice(0,i); //initial substring of length i
j = k;
k = AMposition(AMnames, st, j);
if (k<AMnames.length && str.slice(0,AMnames[k].length)==AMnames[k]){
match = AMnames[k];
mk = k;
i = match.length;
}
more = k<AMnames.length && str.slice(0,AMnames[k].length)>=AMnames[k];
}
AMpreviousSymbol=AMcurrentSymbol;
if (match!=""){
AMcurrentSymbol=AMsymbols[mk].ttype;
return AMsymbols[mk];
}
// if str[0] is a digit or - return maxsubstring of digits.digits
AMcurrentSymbol=CONST;
k = 1;
st = str.slice(0,1);
var integ = true;
while ("0"<=st && st<="9" && k<=str.length) {
st = str.slice(k,k+1);
k++;
}
if (st == decimalsign) {
st = str.slice(k,k+1);
if ("0"<=st && st<="9") {
integ = false;
k++;
while ("0"<=st && st<="9" && k<=str.length) {
st = str.slice(k,k+1);
k++;
}
}
}
if ((integ && k>1) || k>2) {
st = str.slice(0,k-1);
tagst = "mn";
} else {
k = 2;
st = str.slice(0,1); //take 1 character
tagst = (("A">st || st>"Z") && ("a">st || st>"z")?"mo":"mi");
}
if (st=="-" && AMpreviousSymbol==INFIX) {
AMcurrentSymbol = INFIX; //trick "/" into recognizing "-" on second parse
return {input:st, tag:tagst, output:st, ttype:UNARY, func:true};
}
return {input:st, tag:tagst, output:st, ttype:CONST};
}
function AMremoveBrackets(node) {
var st;
if (node.nodeName=="mrow") {
st = node.firstChild.firstChild.nodeValue;
if (st=="(" || st=="[" || st=="{") node.removeChild(node.firstChild);
}
if (node.nodeName=="mrow") {
st = node.lastChild.firstChild.nodeValue;
if (st==")" || st=="]" || st=="}") node.removeChild(node.lastChild);
}
}
/* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
var AMnestingDepth,AMpreviousSymbol,AMcurrentSymbol;
function AMparseSexpr(str) { //parses str and returns [node,tailstr]
var symbol, node, result, i, st,// rightvert = false,
newFrag = document.createDocumentFragment();
str = AMremoveCharsAndBlanks(str,0);
symbol = AMgetSymbol(str); //either a token or a bracket or empty
if (symbol == null || symbol.ttype == RIGHTBRACKET && AMnestingDepth > 0) {
return [null,str];
}
if (symbol.ttype == DEFINITION) {
str = symbol.output+AMremoveCharsAndBlanks(str,symbol.input.length);
symbol = AMgetSymbol(str);
}
switch (symbol.ttype) {
case UNDEROVER:
case CONST:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
return [AMcreateMmlNode(symbol.tag, //its a constant
document.createTextNode(symbol.output)),str];
case LEFTBRACKET: //read (expr+)
AMnestingDepth++;
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseExpr(str,true);
AMnestingDepth--;
if (typeof symbol.invisible == "boolean" && symbol.invisible)
node = AMcreateMmlNode("mrow",result[0]);
else {
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
node = AMcreateMmlNode("mrow",node);
node.appendChild(result[0]);
}
return [node,result[1]];
case TEXT:
if (symbol!=AMquote) str = AMremoveCharsAndBlanks(str,symbol.input.length);
if (str.charAt(0)=="{") i=str.indexOf("}");
else if (str.charAt(0)=="(") i=str.indexOf(")");
else if (str.charAt(0)=="[") i=str.indexOf("]");
else if (symbol==AMquote) i=str.slice(1).indexOf("\"")+1;
else i = 0;
if (i==-1) i = str.length;
st = str.slice(1,i);
if (st.charAt(0) == " ") {
node = AMcreateElementMathML("mspace");
node.setAttribute("width","1ex");
newFrag.appendChild(node);
}
newFrag.appendChild(
AMcreateMmlNode(symbol.tag,document.createTextNode(st)));
if (st.charAt(st.length-1) == " ") {
node = AMcreateElementMathML("mspace");
node.setAttribute("width","1ex");
newFrag.appendChild(node);
}
str = AMremoveCharsAndBlanks(str,i+1);
return [AMcreateMmlNode("mrow",newFrag),str];
case UNARY:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseSexpr(str);
if (result[0]==null) return [AMcreateMmlNode(symbol.tag,
document.createTextNode(symbol.output)),str];
if (typeof symbol.func == "boolean" && symbol.func) { // functions hack
st = str.charAt(0);
if (st=="^" || st=="_" || st=="/" || st=="|" || st==",") {
return [AMcreateMmlNode(symbol.tag,
document.createTextNode(symbol.output)),str];
} else {
node = AMcreateMmlNode("mrow",
AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
node.appendChild(result[0]);
return [node,result[1]];
}
}
AMremoveBrackets(result[0]);
if (symbol.input == "sqrt") { // sqrt
return [AMcreateMmlNode(symbol.tag,result[0]),result[1]];
} else if (typeof symbol.acc == "boolean" && symbol.acc) { // accent
node = AMcreateMmlNode(symbol.tag,result[0]);
node.appendChild(AMcreateMmlNode("mo",document.createTextNode(symbol.output)));
return [node,result[1]];
} else { // font change command
if (!isIE && typeof symbol.codes != "undefined") {
for (i=0; i<result[0].childNodes.length; i++)
if (result[0].childNodes[i].nodeName=="mi" || result[0].nodeName=="mi") {
st = (result[0].nodeName=="mi"?result[0].firstChild.nodeValue:
result[0].childNodes[i].firstChild.nodeValue);
var newst = [];
for (var j=0; j<st.length; j++)
if (st.charCodeAt(j)>64 && st.charCodeAt(j)<91) newst = newst +
String.fromCharCode(symbol.codes[st.charCodeAt(j)-65]);
else newst = newst + st.charAt(j);
if (result[0].nodeName=="mi")
result[0]=AMcreateElementMathML("mo").
appendChild(document.createTextNode(newst));
else result[0].replaceChild(AMcreateElementMathML("mo").
appendChild(document.createTextNode(newst)),result[0].childNodes[i]);
}
}
node = AMcreateMmlNode(symbol.tag,result[0]);
node.setAttribute(symbol.atname,symbol.atval);
return [node,result[1]];
}
case BINARY:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseSexpr(str);
if (result[0]==null) return [AMcreateMmlNode("mo",
document.createTextNode(symbol.input)),str];
AMremoveBrackets(result[0]);
var result2 = AMparseSexpr(result[1]);
if (result2[0]==null) return [AMcreateMmlNode("mo",
document.createTextNode(symbol.input)),str];
AMremoveBrackets(result2[0]);
if (symbol.input=="root" || symbol.input=="stackrel")
newFrag.appendChild(result2[0]);
newFrag.appendChild(result[0]);
if (symbol.input=="frac") newFrag.appendChild(result2[0]);
return [AMcreateMmlNode(symbol.tag,newFrag),result2[1]];
case INFIX:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
return [AMcreateMmlNode("mo",document.createTextNode(symbol.output)),str];
case SPACE:
str = AMremoveCharsAndBlanks(str,symbol.input.length);
node = AMcreateElementMathML("mspace");
node.setAttribute("width","1ex");
newFrag.appendChild(node);
newFrag.appendChild(
AMcreateMmlNode(symbol.tag,document.createTextNode(symbol.output)));
node = AMcreateElementMathML("mspace");
node.setAttribute("width","1ex");
newFrag.appendChild(node);
return [AMcreateMmlNode("mrow",newFrag),str];
case LEFTRIGHT:
// if (rightvert) return [null,str]; else rightvert = true;
AMnestingDepth++;
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseExpr(str,false);
AMnestingDepth--;
var st = "";
if (result[0].lastChild!=null)
st = result[0].lastChild.firstChild.nodeValue;
if (st == "|") { // its an absolute value subterm
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
node = AMcreateMmlNode("mrow",node);
node.appendChild(result[0]);
return [node,result[1]];
} else { // the "|" is a \mid
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
node = AMcreateMmlNode("mrow",node);
return [node,str];
}
default:
//alert("default");
str = AMremoveCharsAndBlanks(str,symbol.input.length);
return [AMcreateMmlNode(symbol.tag, //its a constant
document.createTextNode(symbol.output)),str];
}
}
function AMparseIexpr(str) {
var symbol, sym1, sym2, node, result, underover;
str = AMremoveCharsAndBlanks(str,0);
sym1 = AMgetSymbol(str);
result = AMparseSexpr(str);
node = result[0];
str = result[1];
symbol = AMgetSymbol(str);
if (symbol.ttype == INFIX && symbol.input != "/") {
str = AMremoveCharsAndBlanks(str,symbol.input.length);
// if (symbol.input == "/") result = AMparseIexpr(str); else ...
result = AMparseSexpr(str);
if (result[0] == null) // show box in place of missing argument
result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
else AMremoveBrackets(result[0]);
str = result[1];
// if (symbol.input == "/") AMremoveBrackets(node);
if (symbol.input == "_") {
sym2 = AMgetSymbol(str);
underover = (sym1.ttype == UNDEROVER);
if (sym2.input == "^") {
str = AMremoveCharsAndBlanks(str,sym2.input.length);
var res2 = AMparseSexpr(str);
AMremoveBrackets(res2[0]);
str = res2[1];
node = AMcreateMmlNode((underover?"munderover":"msubsup"),node);
node.appendChild(result[0]);
node.appendChild(res2[0]);
node = AMcreateMmlNode("mrow",node); // so sum does not stretch
} else {
node = AMcreateMmlNode((underover?"munder":"msub"),node);
node.appendChild(result[0]);
}
} else {
node = AMcreateMmlNode(symbol.tag,node);
node.appendChild(result[0]);
}
}
return [node,str];
}
function AMparseExpr(str,rightbracket) {
var symbol, node, result, i, nodeList = [],
newFrag = document.createDocumentFragment();
do {
str = AMremoveCharsAndBlanks(str,0);
result = AMparseIexpr(str);
node = result[0];
str = result[1];
symbol = AMgetSymbol(str);
if (symbol.ttype == INFIX && symbol.input == "/") {
str = AMremoveCharsAndBlanks(str,symbol.input.length);
result = AMparseIexpr(str);
if (result[0] == null) // show box in place of missing argument
result[0] = AMcreateMmlNode("mo",document.createTextNode("\u25A1"));
else AMremoveBrackets(result[0]);
str = result[1];
AMremoveBrackets(node);
node = AMcreateMmlNode(symbol.tag,node);
node.appendChild(result[0]);
newFrag.appendChild(node);
symbol = AMgetSymbol(str);
}
else if (node!=undefined) newFrag.appendChild(node);
} while ((symbol.ttype != RIGHTBRACKET &&
(symbol.ttype != LEFTRIGHT || rightbracket)
|| AMnestingDepth == 0) && symbol!=null && symbol.output!="");
if (symbol.ttype == RIGHTBRACKET || symbol.ttype == LEFTRIGHT) {
// if (AMnestingDepth > 0) AMnestingDepth--;
var len = newFrag.childNodes.length;
if (len>0 && newFrag.childNodes[len-1].nodeName == "mrow" && len>1 &&
newFrag.childNodes[len-2].nodeName == "mo" &&
newFrag.childNodes[len-2].firstChild.nodeValue == ",") { //matrix
var right = newFrag.childNodes[len-1].lastChild.firstChild.nodeValue;
if (right==")" || right=="]") {
var left = newFrag.childNodes[len-1].firstChild.firstChild.nodeValue;
if (left=="(" && right==")" && symbol.output != "}" ||
left=="[" && right=="]") {
var pos = []; // positions of commas
var matrix = true;
var m = newFrag.childNodes.length;
for (i=0; matrix && i<m; i=i+2) {
pos[i] = [];
node = newFrag.childNodes[i];
if (matrix) matrix = node.nodeName=="mrow" &&
(i==m-1 || node.nextSibling.nodeName=="mo" &&
node.nextSibling.firstChild.nodeValue==",")&&
node.firstChild.firstChild.nodeValue==left &&
node.lastChild.firstChild.nodeValue==right;
if (matrix)
for (var j=0; j<node.childNodes.length; j++)
if (node.childNodes[j].firstChild.nodeValue==",")
pos[i][pos[i].length]=j;
if (matrix && i>1) matrix = pos[i].length == pos[i-2].length;
}
if (matrix) {
var row, frag, n, k, table = document.createDocumentFragment();
for (i=0; i<m; i=i+2) {
row = document.createDocumentFragment();
frag = document.createDocumentFragment();
node = newFrag.firstChild; // <mrow>(-,-,...,-,-)</mrow>
n = node.childNodes.length;
k = 0;
node.removeChild(node.firstChild); //remove (
for (j=1; j<n-1; j++) {
if (typeof pos[i][k] != "undefined" && j==pos[i][k]){
node.removeChild(node.firstChild); //remove ,
row.appendChild(AMcreateMmlNode("mtd",frag));
k++;
} else frag.appendChild(node.firstChild);
}
row.appendChild(AMcreateMmlNode("mtd",frag));
if (newFrag.childNodes.length>2) {
newFrag.removeChild(newFrag.firstChild); //remove <mrow>)</mrow>
newFrag.removeChild(newFrag.firstChild); //remove <mo>,</mo>
}
table.appendChild(AMcreateMmlNode("mtr",row));
}
node = AMcreateMmlNode("mtable",table);
if (typeof symbol.invisible == "boolean" && symbol.invisible) node.setAttribute("columnalign","left");
newFrag.replaceChild(node,newFrag.firstChild);
}
}
}
}
str = AMremoveCharsAndBlanks(str,symbol.input.length);
if (typeof symbol.invisible != "boolean" || !symbol.invisible) {
node = AMcreateMmlNode("mo",document.createTextNode(symbol.output));
newFrag.appendChild(node);
}
}
return [newFrag,str];
}
function AMparseMath(str) {
var result, node = AMcreateElementMathML("mstyle");
if (mathcolor != "") node.setAttribute("mathcolor",mathcolor);
if (displaystyle) node.setAttribute("displaystyle","true");
if (mathfontfamily != "") node.setAttribute("fontfamily",mathfontfamily);
AMnestingDepth = 0;
node.appendChild(AMparseExpr(str.replace(/^\s+/g,""),false)[0]);
node = AMcreateMmlNode("math",node);
if (showasciiformulaonhover) //fixed by djhsu so newline
node.setAttribute("title",str.replace(/\s+/g," "));//does not show in Gecko
if (mathfontfamily != "" && (isIE || mathfontfamily != "serif")) {
var fnode = AMcreateElementXHTML("font");
fnode.setAttribute("face",mathfontfamily);
fnode.appendChild(node);
return fnode;
}
return node;
}
function AMstrarr2docFrag(arr, linebreaks) {
var newFrag=document.createDocumentFragment();
var expr = false;
for (var i=0; i<arr.length; i++) {
if (expr) newFrag.appendChild(AMparseMath(arr[i]));
else {
var arri = (linebreaks ? arr[i].split("\n\n") : [arr[i]]);
newFrag.appendChild(AMcreateElementXHTML("span").
appendChild(document.createTextNode(arri[0])));
for (var j=1; j<arri.length; j++) {
newFrag.appendChild(AMcreateElementXHTML("p"));
newFrag.appendChild(AMcreateElementXHTML("span").
appendChild(document.createTextNode(arri[j])));
}
}
expr = !expr;
}
return newFrag;
}
function AMprocessNodeR(n, linebreaks) {
var mtch, str, arr, frg, i;
if (n.childNodes.length == 0) {
if ((n.nodeType!=8 || linebreaks) &&
n.parentNode.nodeName!="form" && n.parentNode.nodeName!="FORM" &&
n.parentNode.nodeName!="textarea" && n.parentNode.nodeName!="TEXTAREA" &&
n.parentNode.nodeName!="code" && n.parentNode.nodeName!="CODE" && /* ASCIIMathML.js - copyright Peter Jipsen, released under the GPL
See http://www1.chapman.edu/~jipsen/mathml/asciimath.html/ */
n.parentNode.nodeName!="pre" && n.parentNode.nodeName!="PRE") {
str = n.nodeValue;
if (!(str == null)) {
str = str.replace(/\r\n\r\n/g,"\n\n");
if (doubleblankmathdelimiter) {
str = str.replace(/\x20\x20\./g," "+AMdelimiter1+".");
str = str.replace(/\x20\x20,/g," "+AMdelimiter1+",");
str = str.replace(/\x20\x20/g," "+AMdelimiter1+" ");
}
str = str.replace(/\x20+/g," ");
str = str.replace(/\s*\r\n/g," ");
mtch = false;
str = str.replace(new RegExp(AMescape2, "g"),
function(st){mtch=true;return "AMescape2"});
str = str.replace(new RegExp(AMescape1, "g"),
function(st){mtch=true;return "AMescape1"});
str = str.replace(new RegExp(AMdelimiter2regexp, "g"),AMdelimiter1);
arr = str.split(AMdelimiter1);
for (i=0; i<arr.length; i++)
arr[i]=arr[i].replace(/AMescape2/g,AMdelimiter2).
replace(/AMescape1/g,AMdelimiter1);
if (arr.length>1 || mtch) {
if (checkForMathML) {
checkForMathML = false;
var nd = AMisMathMLavailable();
AMnoMathML = nd != null;
if (AMnoMathML && notifyIfNoMathML)
if (alertIfNoMathML)
alert("To view the ASCIIMathML notation use Internet Explorer 6 +\nMathPlayer (free from www.dessci.com)\n\
or Firefox/Mozilla/Netscape");
else AMbody.insertBefore(nd,AMbody.childNodes[0]);
}
if (!AMnoMathML) {
frg = AMstrarr2docFrag(arr,n.nodeType==8);
var len = frg.childNodes.length;
n.parentNode.replaceChild(frg,n);
return len-1;
} else return 0;
}
}
} else return 0;
} else if (n.nodeName!="math") {
for (i=0; i<n.childNodes.length; i++)
i += AMprocessNodeR(n.childNodes[i], linebreaks);
}
return 0;
}
function AMprocessNode(n, linebreaks, spanclassAM) {
var frag,st;
if (spanclassAM!=null) {
frag = document.getElementsByTagName("span")
for (var i=0;i<frag.length;i++)
if (frag[i].className == "AM")
AMprocessNodeR(frag[i],linebreaks);
} else {
try {
st = n.innerHTML;
} catch(err) {}
if (st==null ||
st.indexOf(AMdelimiter1)!=-1 || st.indexOf(AMdelimiter2)!=-1)
AMprocessNodeR(n,linebreaks);
}
if (isIE) { //needed to match size and font of formula to surrounding text
frag = document.getElementsByTagName('math');
for (var i=0;i<frag.length;i++) frag[i].update()
}
}
var AMbody;
var AMnoMathML = false, AMtranslated = false;
function translate(spanclassAM) {
if (!AMtranslated) { // run this only once
AMtranslated = true;
AMinitSymbols();
AMbody = document.getElementsByTagName("body")[0];
AMprocessNode(AMbody, false, spanclassAM);
}
}
if (isIE) { // avoid adding MathPlayer info explicitly to each webpage
document.write("<object id=\"mathplayer\"\
classid=\"clsid:32F66A20-7614-11D4-BD11-00104BD3F987\"></object>");
document.write("<?import namespace=\"m\" implementation=\"#mathplayer\"?>");
}
// GO1.1 Generic onload by Brothercake
// http://www.brothercake.com/
//onload function (replaces the onload="translate()" in the <body> tag)
function generic()
{
translate();
};
//setup onload function
if(typeof window.addEventListener != 'undefined')
{
//.. gecko, safari, konqueror and standard
window.addEventListener('load', generic, false);
}
else if(typeof document.addEventListener != 'undefined')
{
//.. opera 7
document.addEventListener('load', generic, false);
}
else if(typeof window.attachEvent != 'undefined')
{
//.. win/ie
window.attachEvent('onload', generic);
}
//** remove this condition to degrade older browsers
else
{
//.. mac/ie5 and anything else that gets this far
//if there's an existing onload function
if(typeof window.onload == 'function')
{
//store it
var existing = onload;
//add new onload handler
window.onload = function()
{
//call existing onload function
existing();
//call generic onload function
generic();
};
}
else
{
//setup onload function
window.onload = generic;
}
}
</script>
<meta name="author" content="Sam Smith, Jen Jones" />
<meta name="date" content="July 15, 2006" />
<title>My S5 Document</title>
</head>
<body>
<div class="layout">
<div id="controls"></div>
<div id="currentSlide"></div>
<div id="header"></div>
<div id="footer">
<a id="July_15,_2006"></a>
<h1>July 15, 2006</h1>
<a id="My_S5_Document"></a>
<h2>My S5 Document</h2>
</div>
</div>
<div class="presentation">
<div class="slide">
<a id="My_S5_Document"></a>
<h1>My S5 Document</h1>
<a id="Sam_Smith,_Jen_Jones"></a>
<h3>Sam Smith, Jen Jones</h3>
<a id="July_15,_2006"></a>
<h4>July 15, 2006</h4>
</div>
<div class="slide">
<a id="First_slide"></a>
<h1>First slide</h1>
<ul class="incremental">
<li>first bullet</li>
<li>second bullet</li>
</ul>
</div>
<div class="slide">
<a id="Smarty"></a>
<h1>Smarty</h1>
<ul>
<li>“Hello there”</li>
<li>Here’s a—dash</li>
<li>And ‘ellipses’…</li>
</ul>
</div>
<div class="slide">
<a id="Math"></a>
<h1>Math</h1>
<ul class="incremental">
<li>$\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$</li>
</ul>
</div>
</div>
</body>
</html>
|
