Simple instructions for jquery noconflict please

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">

<head>
<title>[*title*]</title>
<meta name="keywords" content="[*keywords*] "/>
<meta name="description" content="[*description*] "/>
  <meta http-equiv="Content-Type" content="text/html; charset=[(modx_charset)]" />
<link rel="canonical" href="[(site_url)][~[*id*]~]" />
  <base href="[(site_url)]" /></base>  
  <link rel="stylesheet" href="assets/templates/express/layout.css" type="text/css" media="screen" />
<link rel="stylesheet" href="assets/templates/express/modxmenu2.css" type="text/css" media="screen" /> 
  <link rel="stylesheet" href="assets/templates/express/form.css" type="text/css" media="screen" />
  <link rel="stylesheet" href="assets/templates/express/modx.css" type="text/css" media="screen" />
  <link rel="stylesheet" href="assets/templates/express/print.css" type="text/css" media="print" />
  <link rel="alternate" type="application/rss+xml" title="RSS 2.0" href="[(site_url)][~11~]" />
<script src="assets/templates/express/jquery-1.3.2.min.js" type="text/javascript"></script>
<script src="assets/templates/express/jquery.cycle.all.min.js" type="text/javascript"></script>

<script>   var  jquery=$.noConflict();    
jquery(document).ready(function(){
    jquery('#slideshow').cycle({
        fx:     'fade',
        speed:  'slow',
        timeout: 5000,
        pager:  '#slider_nav',
        pagerAnchorBuilder: function(idx, slide) {
            // return sel string for existing anchor
            return '#slider_nav li:eq(' + (idx) + ') a';
        }
    });
});
</script>
<script src="manager/media/script/mootools/mootools.js" type="text/javascript"></script>
<script src="assets/templates/express/drop_down_menu.js" type="text/javascript"></script>


</head>
<body>
<div id="container">
<div class="header">
[*top-header*]
<div class="clear"></div>

   <div id="ajaxmenu"> [[Wayfinder?startId=`0` &outerTpl=`mh.OuterTpl` &innerTpl=`mh.InnerTpl` &rowTpl=`mh.RowTpl` &innerRowTpl=`mh.InnerRowTpl` &firstClass=`first` &hereClass=``]] </div>
                


</div>


<div class="clear"></div>
<div class="clear"></div>
<div class="top-content">
 <div id="left">[*left-boxes-home*]</div>
<div id="slideshow">
 <div class="slider-item"><a href="bifoldingdoors.html"target="blank"><img src="assets/images/gallery/top1.jpg" alt="bi-folding doors,folding doors" width="710" height="360" border="0" 
 /></a></div>
        <div class="slider-item"><a href="patio_doors.html" target="blank"><img src="assets/images/gallery/top2.jpg" alt="sliding doors, patio doors" width="710" height="360" border="0" /></a></div>
        <div class="slider-item"><a href="bifoldingdoors.html"target="blank"><img src="assets/images/gallery/top3.jpg" alt="bifolding doors,sliding doors, patio doors,composite doors" width="710" height="360" border="0" /></a></div>
        <div class="slider-item"><a href="bifoldingdoors.html"target="blank"><img src="assets/images/gallery/top4.jpg" alt="bifolding doors,sliding doors, patio doors,composite doors"width="710" height="360" border="0" /></a></div>
        <div class="slider-item"><a href="bifoldingdoors.html"target="blank"><img src="assets/images/gallery/top5.jpg" alt="bifolding doors,sliding doors, patio doors,composite doors"width="710" height="360" border="0" /></a></div>
 </div>
[*topContent*]
</div>
</div>
 [*#content*]
<div class="clear"></div>
</div>
<div id="footer">
[*footer*]
</div>
</div>
</body>
</html>

So I changed the no conflict to this:


<script>   var  jquery=$.noConflict();    

jquery(document).ready(function(){

    jquery('#slideshow').cycle({

        fx:     'fade',

        speed:  'slow',

        timeout: 5000,

        pager:  '#slider_nav',

        pagerAnchorBuilder: function(idx, slide) {

            // return sel string for existing anchor

            return '#slider_nav li:eq(' + (idx) + ') a';

        }

    });

});

</script>

jQuery.noConflict