MAT1300HF: Introduction to smooth manifolds - University of Toronto mathematics department, 2009

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Please discuss the problems, but avoid reading a written solution before you write your own, since these are expected to be original. Late assignments will absolutely not be accepted: please hand in whatever you have at the deadline.

*''[[Assignment 1|1300_Asst_1.pdf]]'' (Due Oct 1, 2009)
*''[[Assignment 2|1300_Asst_2.pdf]]'' (Due Oct 20, 2009)
*''[[Assignment 3|1300_Asst_3.pdf]]'' (Due Nov 5, 2009)
*''[[Assignment 4|1300_Asst_4.pdf]]'' (Due Nov 24, 2009)
*''[[Assignment 5|1300_Asst_5.pdf]]'' (Due Dec 3, 2009)

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''Instructor:'' [[Marco Gualtieri|http://www.math.toronto.edu/mgualt]], office hours by appointment.
''Class Schedule:'' Tuesday 12pm-2pm and Thursday 1pm-2pm, room ~BA6183. First class is Thursday, September 10, 24 lectures in all.
''Teaching Assistant:'' [[Stephen Morgan|http://www.math.utoronto.ca/smorgan/]].
''Textbook:'' [[Introduction to Smooth Manifolds|http://www.math.washington.edu/~lee/Books/smooth.html]], by J. M. Lee, GTM 218.
''Evaluation:'' The final grade is obtained from the quantity   
\[
\frac{a}{2}  + \frac{t}{4} + \frac{f}{4},
\]
where $a$ is the average of 5 assignment grades, $t$ is the term exam grade, and $f$ is the grade on the final exam, all out of 100.
''Qualifying Exam:'' If the average of your grade from ~MAT1300 and ~MAT1301 is at least an $A-$, you will be exempt from the Topology qualifying exam.
''Course Overview:'' 
* Smooth manifolds and smooth maps
* Manifolds with boundary
* Differentiation and the tangent bundle
* Transversality, Sard's theorem, and Whitney's embedding theorem
* Differential forms and the de Rham complex
* Integration and Stokes' theorem
* de Rham cohomology
* The Hodge star operator and Maxwell's equations

''[[Term Exam:|TE1.pdf]]'' Tuesday, November 10 in class.  Covers material up to and including generic transversality of maps to R^n.
''Final Exam:'' Monday, December 7, 1-4 pm, BA 2145.

*''[[Full semester notes with table of contents |Notes1-36.pdf]]''

*''[[Until  9/17|Notes1-4.pdf]]''
*''[[Until  9/24|Notes5-7.pdf]]''
*''[[Until  10/1|Notes8-10.pdf]]''
*''[[Until 10/8|Notes11-13.pdf]]''
*''[[Until 10/15|Notes14-18.pdf]]''
*''[[Until 10/22|Notes19-21.pdf]]''
*''[[Until 10/29|Notes21-24.pdf]]'' (Improved page 21)
*''[[Until 11/05|Notes25-31.pdf]]'' (Included proof of full Sard theorem)
*''[[Until 11/19|Notes32-36.pdf]]''
*''[[Until 11/24|Notes37-39.pdf]]''  Also, take a look at Samelson's [[history of differential forms|samelson_forms_history.pdf]] to learn how Poincare's lemma (which was indeed about the cohomology of R^n) was actually proved first by Volterra.
*''[[Until 12/01|Notes40-43.pdf]]''

[[Course Information]]
[[Assignments]]
[[Course Notes]]

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</script> 


<script>
if (!readOnly) return "<<slider chkSliderOptionsPanel SiteMap [[site index »]] >>";
</script>

/***
|Name|InlineJavascriptPlugin|
|Source|http://www.TiddlyTools.com/#InlineJavascriptPlugin|
|Documentation|http://www.TiddlyTools.com/#InlineJavascriptPluginInfo|
|Version|1.9.5|
|Author|Eric Shulman|
|License|http://www.TiddlyTools.com/#LegalStatements|
|~CoreVersion|2.1|
|Type|plugin|
|Requires||
|Overrides||
|Description|Insert Javascript executable code directly into your tiddler content.|
''Call directly into TW core utility routines, define new functions, calculate values, add dynamically-generated TiddlyWiki-formatted output'' into tiddler content, or perform any other programmatic actions each time the tiddler is rendered.
!!!!!Documentation
>see [[InlineJavascriptPluginInfo]]
!!!!!Revisions
<<<
2009.04.11 [1.9.5] pass current tiddler object into wrapper code so it can be referenced from within 'onclick' scripts
2009.02.26 [1.9.4] in $(), handle leading '#' on ID for compatibility with JQuery syntax
|please see [[InlineJavascriptPluginInfo]] for additional revision details|
2005.11.08 [1.0.0] initial release
<<<
!!!!!Code
***/
//{{{
version.extensions.InlineJavascriptPlugin= {major: 1, minor: 9, revision: 5, date: new Date(2009,4,11)};

config.formatters.push( {
	name: "inlineJavascript",
	match: "\\<script",
	lookahead: "\\<script(?: src=\\\"((?:.|\\n)*?)\\\")?(?: label=\\\"((?:.|\\n)*?)\\\")?(?: title=\\\"((?:.|\\n)*?)\\\")?(?: key=\\\"((?:.|\\n)*?)\\\")?( show)?\\>((?:.|\\n)*?)\\</script\\>",

	handler: function(w) {
		var lookaheadRegExp = new RegExp(this.lookahead,"mg");
		lookaheadRegExp.lastIndex = w.matchStart;
		var lookaheadMatch = lookaheadRegExp.exec(w.source)
		if(lookaheadMatch && lookaheadMatch.index == w.matchStart) {
			var src=lookaheadMatch[1];
			var label=lookaheadMatch[2];
			var tip=lookaheadMatch[3];
			var key=lookaheadMatch[4];
			var show=lookaheadMatch[5];
			var code=lookaheadMatch[6];
			if (src) { // external script library
				var script = document.createElement("script"); script.src = src;
				document.body.appendChild(script); document.body.removeChild(script);
			}
			if (code) { // inline code
				if (show) // display source in tiddler
					wikify("{{{\n"+lookaheadMatch[0]+"\n}}}\n",w.output);
				if (label) { // create 'onclick' command link
					var link=createTiddlyElement(w.output,"a",null,"tiddlyLinkExisting",wikifyPlainText(label));
					var fixup=code.replace(/document.write\s*\(/gi,'place.bufferedHTML+=(');
					link.code="function _out(place,tiddler){"+fixup+"\n};_out(this,this.tiddler);"
					link.tiddler=w.tiddler;
					link.onclick=function(){
						this.bufferedHTML="";
						try{ var r=eval(this.code);
							if(this.bufferedHTML.length || (typeof(r)==="string")&&r.length)
								var s=this.parentNode.insertBefore(document.createElement("span"),this.nextSibling);
							if(this.bufferedHTML.length)
								s.innerHTML=this.bufferedHTML;
							if((typeof(r)==="string")&&r.length) {
								wikify(r,s,null,this.tiddler);
								return false;
							} else return r!==undefined?r:false;
						} catch(e){alert(e.description||e.toString());return false;}
					};
					link.setAttribute("title",tip||"");
					var URIcode='javascript:void(eval(decodeURIComponent(%22(function(){try{';
					URIcode+=encodeURIComponent(encodeURIComponent(code.replace(/\n/g,' ')));
					URIcode+='}catch(e){alert(e.description||e.toString())}})()%22)))';
					link.setAttribute("href",URIcode);
					link.style.cursor="pointer";
					if (key) link.accessKey=key.substr(0,1); // single character only
				}
				else { // run script immediately
					var fixup=code.replace(/document.write\s*\(/gi,'place.innerHTML+=(');
					var c="function _out(place,tiddler){"+fixup+"\n};_out(w.output,w.tiddler);";
					try	 { var out=eval(c); }
					catch(e) { out=e.description?e.description:e.toString(); }
					if (out && out.length) wikify(out,w.output,w.highlightRegExp,w.tiddler);
				}
			}
			w.nextMatch = lookaheadMatch.index + lookaheadMatch[0].length;
		}
	}
} )
//}}}

// // Backward-compatibility for TW2.1.x and earlier
//{{{
if (typeof(wikifyPlainText)=="undefined") window.wikifyPlainText=function(text,limit,tiddler) {
	if(limit > 0) text = text.substr(0,limit);
	var wikifier = new Wikifier(text,formatter,null,tiddler);
	return wikifier.wikifyPlain();
}
//}}}

// // GLOBAL FUNCTION: $(...) -- 'shorthand' convenience syntax for document.getElementById()
//{{{
if (typeof($)=='undefined') { function $(id) { return document.getElementById(id.replace(/^#/,'')); } }
//}}}

[img[contact.png]]
* [[Course Information]]
* [[Assignments]]
* [[Course Notes]]

<<closeAll>><<permaview>><<newTiddler>><<newJournal 'DD MMM YYYY'>><<saveChanges>><<slider chkSliderOptionsPanel OptionsPanel 'options »' 'Change TiddlyWiki advanced options'>>

Last Updated: 
Copyright ©

These interface options for customising TiddlyWiki are saved in your browser

<<option chkRegExpSearch>> RegExpSearch
<<option chkCaseSensitiveSearch>> CaseSensitiveSearch
<<option chkAnimate>> EnableAnimations

Also see AdvancedOptions

<!--{{{-->
	
  <div class='header'>
      <div class='headerShadow'>
        <span class='siteTitle' refresh='content' tiddler='SiteTitle'></span><BR>
        <span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
      </div>
      <div class='headerForeground'>
        <span class='siteTitle' refresh='content' tiddler='SiteTitle'></span><BR>
        <span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
      </div>
  </div>
  <div id='topMenu' refresh='content' tiddler='TopMenu'></div>
  <div id='mainMenu' refresh='content' tiddler='MainMenu'></div>
  <div id='displayArea'>
    <div id='messageArea'></div>
    <div id='tiddlerDisplay'></div>
  </div>
  <div id='footer' refresh='content' force='true' tiddler='Footer'></div>

<!--}}}-->

/***
|Name|Plugin: jsMath|
|Created by|BobMcElrath|
|Email|my first name at my last name dot org|
|Location|http://bob.mcelrath.org/tiddlyjsmath.html|
|Version|1.5.1|
|Requires|[[TiddlyWiki|http://www.tiddlywiki.com]] &ge; 2.0.3, [[jsMath|http://www.math.union.edu/~dpvc/jsMath/]] &ge; 3.0|
!Description
LaTeX is the world standard for specifying, typesetting, and communicating mathematics among scientists, engineers, and mathematicians.  For more information about LaTeX itself, visit the [[LaTeX Project|http://www.latex-project.org/]].  This plugin typesets math using [[jsMath|http://www.math.union.edu/~dpvc/jsMath/]], which is an implementation of the TeX math rules and typesetting in javascript, for your browser.  Notice the small button in the lower right corner which opens its control panel.
!Installation
In addition to this plugin, you must also [[install jsMath|http://www.math.union.edu/~dpvc/jsMath/download/jsMath.html]] on the same server as your TiddlyWiki html file.  If you're using TiddlyWiki without a web server, then the jsMath directory must be placed in the same location as the TiddlyWiki html file.

I also recommend modifying your StyleSheet use serif fonts that are slightly larger than normal, so that the math matches surrounding text, and \\small fonts are not unreadable (as in exponents and subscripts).
{{{
.viewer {
  line-height: 125%;
  font-family: serif;
  font-size: 12pt;
}
}}}

If you had used a previous version of [[Plugin: jsMath]], it is no longer necessary to edit the main tiddlywiki.html file to add the jsMath <script> tag.  [[Plugin: jsMath]] now uses ajax to load jsMath.
!History
* 11-Nov-05, version 1.0, Initial release
* 22-Jan-06, version 1.1, updated for ~TW2.0, tested with jsMath 3.1, editing tiddlywiki.html by hand is no longer necessary.
* 24-Jan-06, version 1.2, fixes for Safari, Konqueror
* 27-Jan-06, version 1.3, improved error handling, detect if ajax was already defined (used by ZiddlyWiki)
* 12-Jul-06, version 1.4, fixed problem with not finding image fonts
* 26-Feb-07, version 1.5, fixed problem with Mozilla "unterminated character class".
* 27-Feb-07, version 1.5.1, Runs compatibly with TW 2.1.0+, by Bram Chen
!Examples
|!Source|!Output|h
|{{{The variable $x$ is real.}}}|The variable $x$ is real.|
|{{{The variable \(y\) is complex.}}}|The variable \(y\) is complex.|
|{{{This \[\int_a^b x = \frac{1}{2}(b^2-a^2)\] is an easy integral.}}}|This \[\int_a^b x = \frac{1}{2}(b^2-a^2)\] is an easy integral.|
|{{{This $$\int_a^b \sin x = -(\cos b - \cos a)$$ is another easy integral.}}}|This $$\int_a^b \sin x = -(\cos b - \cos a)$$ is another easy integral.|
|{{{Block formatted equations may also use the 'equation' environment \begin{equation}  \int \tan x = -\ln \cos x \end{equation} }}}|Block formatted equations may also use the 'equation' environment \begin{equation}  \int \tan x = -\ln \cos x \end{equation}|
|{{{Equation arrays are also supported \begin{eqnarray} a &=& b \\ c &=& d \end{eqnarray} }}}|Equation arrays are also supported \begin{eqnarray} a &=& b \\ c &=& d \end{eqnarray} |
|{{{I spent \$7.38 on lunch.}}}|I spent \$7.38 on lunch.|
|{{{I had to insert a backslash (\\) into my document}}}|I had to insert a backslash (\\) into my document|
!Code
***/
//{{{

// AJAX code adapted from http://timmorgan.org/mini
// This is already loaded by ziddlywiki...
if(typeof(window["ajax"]) == "undefined") {
  ajax = {
      x: function(){try{return new ActiveXObject('Msxml2.XMLHTTP')}catch(e){try{return new ActiveXObject('Microsoft.XMLHTTP')}catch(e){return new XMLHttpRequest()}}},
      gets: function(url){var x=ajax.x();x.open('GET',url,false);x.send(null);return x.responseText}
  }
}

// Load jsMath
jsMath = {
  Setup: {inited: 1},          // don't run jsMath.Setup.Body() yet
  Autoload: {root: new String(document.location).replace(/[^\/]*$/,'jsMath/')}  // URL to jsMath directory, change if necessary
};
var jsMathstr;
try {
  jsMathstr = ajax.gets(jsMath.Autoload.root+"jsMath.js");
} catch(e) {
  alert("jsMath was not found: you must place the 'jsMath' directory in the same place as this file.  "
       +"The error was:\n"+e.name+": "+e.message);
  throw(e);  // abort eval
}
try {
  window.eval(jsMathstr);
} catch(e) {
  alert("jsMath failed to load.  The error was:\n"+e.name + ": " + e.message + " on line " + e.lineNumber);
}
jsMath.Setup.inited=0;  //  allow jsMath.Setup.Body() to run again

// Define wikifers for latex
config.formatterHelpers.mathFormatHelper = function(w) {
    var e = document.createElement(this.element);
    e.className = this.className;
    var endRegExp = new RegExp(this.terminator, "mg");
    endRegExp.lastIndex = w.matchStart+w.matchLength;
    var matched = endRegExp.exec(w.source);
    if(matched) {
        var txt = w.source.substr(w.matchStart+w.matchLength, 
            matched.index-w.matchStart-w.matchLength);
        if(this.keepdelim) {
          txt = w.source.substr(w.matchStart, matched.index+matched[0].length-w.matchStart);
        }
        e.appendChild(document.createTextNode(txt));
        w.output.appendChild(e);
        w.nextMatch = endRegExp.lastIndex;
    }
}

config.formatters.push({
  name: "displayMath1",
  match: "\\\$\\\$",
  terminator: "\\\$\\\$\\n?", // 2.0 compatability
  termRegExp: "\\\$\\\$\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

config.formatters.push({
  name: "inlineMath1",
  match: "\\\$", 
  terminator: "\\\$", // 2.0 compatability
  termRegExp: "\\\$",
  element: "span",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

var backslashformatters = new Array(0);

backslashformatters.push({
  name: "inlineMath2",
  match: "\\\\\\\(",
  terminator: "\\\\\\\)", // 2.0 compatability
  termRegExp: "\\\\\\\)",
  element: "span",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

backslashformatters.push({
  name: "displayMath2",
  match: "\\\\\\\[",
  terminator: "\\\\\\\]\\n?", // 2.0 compatability
  termRegExp: "\\\\\\\]\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

backslashformatters.push({
  name: "displayMath3",
  match: "\\\\begin\\{equation\\}",
  terminator: "\\\\end\\{equation\\}\\n?", // 2.0 compatability
  termRegExp: "\\\\end\\{equation\\}\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

// These can be nested.  e.g. \begin{equation} \begin{array}{ccc} \begin{array}{ccc} ...
backslashformatters.push({
  name: "displayMath4",
  match: "\\\\begin\\{eqnarray\\}",
  terminator: "\\\\end\\{eqnarray\\}\\n?", // 2.0 compatability
  termRegExp: "\\\\end\\{eqnarray\\}\\n?",
  element: "div",
  className: "math",
  keepdelim: true,
  handler: config.formatterHelpers.mathFormatHelper
});

// The escape must come between backslash formatters and regular ones.
// So any latex-like \commands must be added to the beginning of
// backslashformatters here.
backslashformatters.push({
    name: "escape",
    match: "\\\\.",
    handler: function(w) {
        w.output.appendChild(document.createTextNode(w.source.substr(w.matchStart+1,1)));
        w.nextMatch = w.matchStart+2;
    }
});

config.formatters=backslashformatters.concat(config.formatters);

window.wikify = function(source,output,highlightRegExp,tiddler)
{
    if(source && source != "") {
        if(version.major == 2 && version.minor > 0) {
            var wikifier = new Wikifier(source,getParser(tiddler),highlightRegExp,tiddler);
            wikifier.subWikifyUnterm(output);
        } else {
            var wikifier = new Wikifier(source,formatter,highlightRegExp,tiddler);
            wikifier.subWikify(output,null);
        }
        jsMath.ProcessBeforeShowing();
    }
}
//}}}

<<search>><<closeAll>><<permaview>><<newTiddler>><<newJournal "DD MMM YYYY" "journal">><<saveChanges>><<slider chkSliderOptionsPanel OptionsPanel "options »" "Change TiddlyWiki advanced options">>

<<tabs txtMainTab "Timeline" "Timeline" TabTimeline "All" "All tiddlers" TabAll "Tags" "All tags" TabTags "More" "More lists" TabMore>>

University of Toronto [[mathematics department|http://www.math.toronto.edu]], 2009

~MAT1300HF: Introduction to smooth manifolds

/*{{{*/

body { 
font-size: .8em;
color:#333333; 
text-align:center; 
background:#fff 
url(bg_top.png) repeat-x top left; 
}

#contentWrapper { width:1000px; text-align:left; margin-left:auto; margin-right:auto; position:relative; overflow:hidden; clear:both; }

div.header { font-family:georgia,arial; display:block; height:80px; background-color:#fff; overflow:hidden; clear:both; position:relative;}
div.header .headerForeground a {color: #333333}
div.header div.headerForeground { color:[[ColorPalette::Foreground]]; padding:0 0 0 0; padding-top: 2em; }
div.header div.headerForeground span.siteTitle h1 { position:absolute; margin:0; padding:0; top:10px; left:8px;}
div.header div.headerShadow { display:none; }

#topMenu {font-family: verdana, arial}
#topMenu ul { margin:0; padding:0; list-style:none; width:100%; overflow:hidden; clear:both; }
#topMenu ul li { float:left; margin:0; padding:0; }
#topMenu ul li a { height:18px; vertical-align: middle; text-decoration:none; display:block; float:left; font-size:12px;  font-weight:bold; color:[[ColorPalette::Background]]; margin:0 20px 0 0; padding:5px 8px 5px 8px }
#topMenu ul li a:hover { background-color:[[ColorPalette::MainAccentLight]]; }
#topMenu a.button { float:right; margin:0.8em 0 0 1.5em; color:[[ColorPalette::PrimaryPale]]; border-width:0;}
#topMenu a.button:hover { color:[[ColorPalette::MainAccentLight]]; background-color:[[ColorPalette::Background]];}

#mainMenu { font-size: 1em; font-family: verdana, arial; margin:0 0 0 0; padding:0; width:200px;  text-align:left; line-height:1.3em; overflow:hidden; clear:both; float:left; position: inherit;}
#mainMenu ul { list-style:none; margin:0; padding:0; }
#mainMenu ul li a.tiddlyLink {margin:0; padding:6px 8px; display:block; text-decoration:none; color:#888888; text-align:left; clear:left; }
#mainMenu ul li a.tiddlyLink:hover { color:[[ColorPalette::MainAccentLight]]; background-color:[[ColorPalette::Background]];}


#mainMenu a {color:#888888;padding: 6px 8px; }
#mainMenu a:hover { color:[[ColorPalette::MainAccentLight]]; background-color:[[ColorPalette::Background]];}

#mainMenu a.button {color:[[ColorPalette::Foreground]]; border-width:0px; }
#mainMenu a.button:hover { color:[[ColorPalette::MainAccentLight]]; background-color:[[ColorPalette::Background]];}
#mainMenu input.txtOptionInput {border:solid 1px #ddd; border-top:solid 1px #aaa; border-bottom:solid 1px #eee; margin:4px 0 0 8px; padding:2px 4px; color:[[ColorPalette::LessSubtle]]; background:transparent url(./images/bg_search.png) repeat-x top left;}

#messageArea{top: 0em; background: [[ColorPalette::Background]]; border: 1px solid #000;}

#sidebar  {top:120px; right:0; overflow:hidden; clear:both;}

#displayArea { float:right; margin:30px 0 4em 10px;}
#tiddlerDisplay { float:left; margin:0; width:750px;}

#footer { margin-top:40px; border-top:solid 1px [[ColorPalette::Subtle]]; padding:20px 0; color:[[ColorPalette::Subtle]];  overflow:hidden; clear:both}
#footer a.button { color:[[ColorPalette::MainAccent]]; border-width:0;}
#footer a.button:hover { color:[[ColorPalette::MainAccentLight]]; background-color:[[ColorPalette::Background]];}

div.tiddler { margin:0em 0 4em 0; padding-top:0em; }
div.tiddler div.title { font-family:georgia,verdana; font-weight: normal; font-size:2.2em; margin-left:0; color:[[ColorPalette::Foreground]];  display:inline;}
div.tiddler div.viewer { font-size:1.2em; margin-left:0px; width:750px;}
div.tiddler div.subtitle { display:none; }
div.tiddler div.toolbar { text-align:left; margin-left:0.5em; display:inline;}
div.tiddler div.toolbar > a.button { color:[[ColorPalette::Subtle]]; border-width:0;}
div.tiddler div.toolbar > a.button:hover { color:[[ColorPalette::LessSubtle]]; background:[[ColorPalette::Background]];}

div.tiddler div.tagged { font-family: verdana, arial; background-color:[[ColorPalette::Background]]; border-width:0; margin:0 0 2em 0;}
div.tiddler div.tagged ul li.listTitle { display:none; }
div.tiddler div.tagged ul li a { font-size:.8em; display:block; margin-bottom:2px; padding:3px 3px 3px 20px; text-decoration:none; background:transparent url(tags_matrix.png) no-repeat top left; color:[[ColorPalette::PrimaryPale]]; }
div.tiddler div.tagged ul li a:hover { color:[[ColorPalette::MainAccentLight]]; background-color:[[ColorPalette::Background]];}

div.tiddler div.tagging { float:none; border:solid 1px [[ColorPalette::SubtleLight]]; padding:3px; background-color:[[ColorPalette::SubtleSuperLight]]; overflow:hidden; clear:both; zoom:1;}
div.tiddler div.tagging ul li { float:left; margin:0 1.5em 0 0; color:[[ColorPalette::LessSubtle]]; }
div.tiddler div.tagging ul li a { color:[[ColorPalette::MainAccentLight]]; }
div.tiddler div.tagging ul li a:hover { color:[[ColorPalette::MainAccent]]; background-color:[[ColorPalette::SubtleSuperLight]];}

div.tiddler div.viewer img { float:left; clear:left; margin:0 1em 1em 0;}
div.tiddler table {margin:0; border-width:0px; }
div.tiddler table tr { border-width:0px; }
div.tiddler table tr td { border-width:0px; vertical-align:top; }
div.tiddler table tr td * { float:left; clear:left; }

.viewer pre { font-size:0.85em; }

#popup { border:solid 1px [[ColorPalette::Subtle]]; border-bottom:solid 1px [[ColorPalette::LessSubtle]]; border-right:solid 1px [[ColorPalette::LessSubtle]]; background-color:[[ColorPalette::Background]]; padding:1px 0 0 0;}
#popup li a { background-color:[[ColorPalette::SubtleSuperLight]]; color:[[ColorPalette::MuchLessSubtle]]; text-align:left;}
#popup li a:hover { background-color:[[ColorPalette::SubtleLight]]; color:[[ColorPalette::MuchLessSubtle]];}
#popup li.listBreak div {border-bottom:solid 1px [[ColorPalette::Background]]; border-top:solid 1px [[ColorPalette::SubtleLight]]; margin:0;}

form.wizard {font-size:0.8em;}

h1, h2, h3, h4, h5 { color:[[ColorPalette::MainAccentLight]] }

/*}}}*/

/*{{{*/
* html .tiddler {height:1%;}
body {
font-size:.9em; 
font-family:Verdana,arial,helvetica; 
margin:0;
padding:0;
line-height:1.3em;
}
h1,h2,h3,h4,h5,h6 {color:#333333; font-weight:bold; text-decoration:none;}
h1,h2,h3 {padding-bottom:1px; margin-top:1.2em;margin-bottom:0.3em;}
h4,h5,h6 {margin-top:1em;}
h1 {font-size:1.35em;}
h2 {font-size:1.2em;}
h3 {font-size:1.1em;}
h4 {font-size:1em;}
h5 {font-size:.9em;}
hr {height:1px;}
a {text-decoration:none;}
dt {font-weight:bold;}
ol {list-style-type:decimal;}
ol ol {list-style-type:lower-alpha;}
ol ol ol {list-style-type:lower-roman;}
ol ol ol ol {list-style-type:decimal;}
ol ol ol ol ol {list-style-type:lower-alpha;}
ol ol ol ol ol ol {list-style-type:lower-roman;}
ol ol ol ol ol ol ol {list-style-type:decimal;}
.txtOptionInput {width:11em;}
#contentWrapper .chkOptionInput {border:0;}
.externalLink {text-decoration:underline;}
.indent {margin-left:3em;}
.outdent {margin-left:3em; text-indent:-3em;}
code.escaped {white-space:nowrap;}
.tiddlyLinkExisting {font-weight:bold;}
.tiddlyLinkNonExisting {font-style:italic;}
/* the 'a' is required for IE, otherwise it renders the whole tiddler
in bold */
a.tiddlyLinkNonExisting.shadow {font-weight:bold;}
#sidebarTabs .tiddlyLinkExisting {font-weight:bold; font-style:normal;}
.header {position:relative;}
.header a:hover {background:transparent;}
.headerShadow {position:relative; padding:4.5em 0em 1em 1em; left:-1px;
top:-1px;}
.headerForeground {position:absolute; padding:4.5em 0em 1em 1em;
left:0px; top:0px;}
.siteTitle {font-size:3em;}
.siteSubtitle {font-size:1.2em;}
#mainMenu {position:absolute; left:0; width:10em; text-align:right;
line-height:1.6em; padding:1.5em 0.5em 0.5em 0.5em; font-size:1.1em;}
#sidebar {position:absolute; right:3px; width:16em; font-size:.9em;}
#sidebarOptions {padding-top:0.3em;}
#sidebarOptions a {margin:0em 0.2em; padding:0.2em 0.3em;
display:block;}
#sidebarOptions input {margin:0.4em 0.5em;}
#sidebarOptions .sliderPanel {margin-left:1em; padding:0.5em;
font-size:.85em;}
#sidebarOptions .sliderPanel a {font-weight:bold; display:inline;
padding:0;}
#sidebarOptions .sliderPanel input {margin:0 0 .3em 0;}
#sidebarTabs .tabContents {width:15em; overflow:hidden;}
.wizard {padding:0.1em 1em 0em 2em;}
.wizard h1 {font-size:2em; font-weight:bold; background:none;
padding:0em 0em 0em 0em; margin:0.4em 0em 0.2em 0em;}
.wizard h2 {font-size:1.2em; font-weight:bold; background:none;
padding:0em 0em 0em 0em; margin:0.4em 0em 0.2em 0em;}
.wizardStep {padding:1em 1em 1em 1em;}
.wizard .button {margin:0.5em 0em 0em 0em; font-size:1.2em;}
.wizardFooter {padding:0.8em 0.4em 0.8em 0em;}
.wizardFooter .status {padding:0em 0.4em 0em 0.4em; margin-left:1em;}
.wizard .button {padding:0.1em 0.2em 0.1em 0.2em;}
#messageArea {position:fixed; top:2em; right:0em; margin:0.5em;
padding:0.5em; z-index:2000; _position:absolute;}
.messageToolbar {display:block; text-align:right; padding:0.2em 0.2em
0.2em 0.2em;}
#messageArea a {text-decoration:underline;}
.tiddlerPopupButton {padding:0.2em 0.2em 0.2em 0.2em;}
.popupTiddler {position: absolute; z-index:300; padding:1em 1em 1em
1em; margin:0;}
.popup {position:absolute; z-index:300; font-size:.9em; padding:0;
list-style:none; margin:0;}
.popup .popupMessage {padding:0.4em;}
.popup hr {display:block; height:1px; width:auto; padding:0;
margin:0.2em 0em;}
.popup li.disabled {padding:0.4em;}
.popup li a {display:block; padding:0.4em; font-weight:normal;
cursor:pointer;}
.listBreak {font-size:1px; line-height:1px;}
.listBreak div {margin:2px 0;}
.tabset {padding:1em 0em 0em 0.5em;}
.tab {margin:0em 0em 0em 0.25em; padding:2px;}
.tabContents {padding:0.5em;}
.tabContents ul, .tabContents ol {margin:0; padding:0;}
.txtMainTab .tabContents li {list-style:none;}
.tabContents li.listLink { margin-left:.75em;}
#contentWrapper {display:block;}
#splashScreen {display:none;}
#displayArea {margin:1em 17em 0em 14em;}
.toolbar {text-align:right; font-size:.9em;}
.tiddler {padding:1em 1em 0em 1em;}
.missing .viewer,.missing .title {font-style:italic;}
.title {font-size:1.6em; font-weight:bold;}
.missing .subtitle {display:none;}
.subtitle {font-size:1.1em;}
.tiddler .button {padding:0.2em 0.4em;}
.tagging {margin:0.5em 0.5em 0.5em 0; float:left; display:none;}
.isTag .tagging {display:block;}
.tagged {margin:0.5em; float:right;}
.tagging, .tagged {font-size:0.9em; padding:0.25em;}
.tagging ul, .tagged ul {list-style:none; margin:0.25em; padding:0;}
.tagClear {clear:both;}
.footer {font-size:.9em;}
.footer li {display:inline;}
.annotation {padding:0.5em; margin:0.5em;}
* html .viewer pre {width:99%; padding:0 0 1em 0;}
.viewer {line-height:1.4em; padding-top:0.5em;}
.viewer .button {margin:0em 0.25em; padding:0em 0.25em;}
.viewer blockquote {line-height:1.5em;
padding-left:0.8em;margin-left:2.5em;}
.viewer ul, .viewer ol {margin-left:0.5em; padding-left:1.5em;}
.viewer table, table.twtable {border-collapse:collapse; margin:0.8em
1.0em;}
.viewer th, .viewer td, .viewer tr,.viewer caption,.twtable th,
.twtable td, .twtable tr,.twtable caption {padding:3px;}
table.listView {font-size:0.85em; margin:0.8em 1.0em;}
table.listView th, table.listView td, table.listView tr {padding:0px
3px 0px 3px;}
.viewer pre {padding:0.5em; margin-left:0.5em; font-size:1.2em;
line-height:1.4em; overflow:auto;}
.viewer code {font-size:1.2em; line-height:1.4em;}
.editor {font-size:1.1em;}
.editor input, .editor textarea {display:block; width:100%;
font:inherit;}
.editorFooter {padding:0.25em 0em; font-size:.9em;}
.editorFooter .button {padding-top:0px; padding-bottom:0px;}
.fieldsetFix {border:0; padding:0; margin:1px 0px 1px 0px;}
.sparkline {line-height:1em;}
.sparktick {outline:0;}
.zoomer {font-size:1.1em; position:absolute; overflow:hidden;}
.zoomer div {padding:1em;}
* html #backstage {width:99%;}
* html #backstageArea {width:99%;}
#backstageArea {display:none; position:relative; overflow: hidden;
z-index:150; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageToolbar {position:relative;}
#backstageArea a {font-weight:bold; margin-left:0.5em; padding:0.3em
0.5em 0.3em 0.5em;}
#backstageButton {display:none; position:absolute; z-index:175;
top:0em; right:0em;}
#backstageButton a {padding:0.1em 0.4em 0.1em 0.4em; margin:0.1em 0.1em
0.1em 0.1em;}
#backstage {position:relative; width:100%; z-index:50;}
#backstagePanel {display:none; z-index:100; position:absolute;
margin:0em 3em 0em 3em; padding:1em 1em 1em 1em;}
.backstagePanelFooter {padding-top:0.2em; float:right;}
.backstagePanelFooter a {padding:0.2em 0.4em 0.2em 0.4em;}
#backstageCloak {display:none; z-index:20; position:absolute;
width:100%; height:100px;}
.whenBackstage {display:none;}
.backstageVisible .whenBackstage {display:block;}
/*}}}*/

|~ViewToolbar|closeTiddler closeOthers +editTiddler > fields syncing permalink references jump|
|~EditToolbar|+saveTiddler -cancelTiddler deleteTiddler|

<<closeAll>><<permaview>><<saveChanges>>

<!--{{{-->
<div class='title' macro='view title'></div>
<div class='toolbar' macro='toolbar closeTiddler
+editTiddler'></div>
<div class='subtitle'><span macro='view modifier
link'></span>, <span macro='view modified
date'></span> (<span macro='message
views.wikified.createdPrompt'></span> <span macro='view
created date'></span>)</div>
<div class='tagging' macro='tagging'></div>
<div class='tagged' macro='tags'></div>
<div class='viewer' macro='view text wikified'></div>
<div class='tagClear'></div>
<!--}}}-->

//{{{
//This ensures that the footer sticks to the bottom of the screen when there are no tiddlers open. If that is not desirable, it can be deleted.
function setFooter() {
         if (document.getElementById && document.getElementById("contentFooter") ) {
            var windowHeight=findWindowHeight();
         if (windowHeight>0) {
            var contentHeight= document.getElementById('mainMenu').offsetHeight + document.getElementById("header").offsetHeight + document.getElementById("contentFooter").offsetHeight;
            var menu= document.getElementById('mainMenu');
            if (windowHeight-(contentHeight)>=0) {
               menu.style.position='relative';
               menu.style.marginBottom=(windowHeight-(contentHeight))+'px';
               }
            else {
                 menu.style.position='';
                 menu.style.marginBottom='';
                 }
            }
         }
}
window.onresize = function() {
  setFooter();
}

Story.prototype.refreshTiddler_footerhack=Story.prototype.refreshTiddler;
Story.prototype.refreshTiddler = function (title,template,force)
{    
var theTiddler = Story.prototype.refreshTiddler_footerhack.apply(this,arguments);
setFooter();
   return theTiddler;}

//}}}