两个简单js冲突，求大侠指教解决思路

两个简单js冲突，求大侠指教
1.
*问题：设了两个js文件，分别叫：
[1]function.js(实现鼠标移到小图标上产生渐变效果)；
[2]rolling.js(实现网页上幻灯片的滚动)
*描述：两个文件分开用都能实现效果；但是合并到一个html中，渐变效果消失了。chrome中显示function.js没有载入。将它们合并到一个js文件中，chrome提示：原function中函数->"Uncaught TypeError: Cannot call method 'ready' of null "，猜测是两文件冲突了，但是具体是哪里冲突怎么也看不出来，苦思一晚上了，请大侠指教，不胜感激涕零！！

2.代码：
[1]function.js

JScript code

// JavaScript Document$(document).ready(function(){$('#dogpic img').bind('mouseover',function(){$(this).fadeTo(200,1);}).bind('mouseleave',function(){$(this).fadeTo(200,0.8);})}) 

JScript code

// JavaScript Documentfunction $(id) { return document.getElementById(id); }function addLoadEvent(func){var oldonload = window.onload;if (typeof window.onload != 'function') {window.onload = func;} else {window.onload = function(){oldonload();func();}}}function addBtn() {if(!$('ibanner')||!$('ibanner_pic')) return;var picList = $('ibanner_pic').getElementsByTagName('a');if(picList.length==0) return;var btnBox = document.createElement('div');btnBox.setAttribute('id','ibanner_btn');var SpanBox ='';for(var i=1; i<=picList.length; i++ ) {var spanList = '<span class="normal">'+i+'</span>';SpanBox += spanList;}btnBox.innerHTML = SpanBox;$('ibanner').appendChild(btnBox);$('ibanner_btn').getElementsByTagName('span')[0].className = 'current';for (var m=0; m<picList.length; m++){var attributeValue = 'picLi_'+mpicList[m].setAttribute('id',attributeValue);}}function moveElement(elementID,final_x,final_y,interval) {if (!document.getElementById) return false;if (!document.getElementById(elementID)) return false;var elem = document.getElementById(elementID);if (elem.movement) {clearTimeout(elem.movement);}if (!elem.style.left) {elem.style.left = "0px";}if (!elem.style.top) {elem.style.top = "0px";}var xpos = parseInt(elem.style.left);var ypos = parseInt(elem.style.top);if (xpos == final_x && ypos == final_y) {moveing = false;return true;}if (xpos < final_x) {var dist = Math.ceil((final_x - xpos)/10);xpos = xpos + dist;}if (xpos > final_x) {var dist = Math.ceil((xpos - final_x)/10);xpos = xpos - dist;}if (ypos < final_y) {var dist = Math.ceil((final_y - ypos)/10);ypos = ypos + dist;}if (ypos > final_y) {var dist = Math.ceil((ypos - final_y)/10);ypos = ypos - dist;}elem.style.left = xpos + "px";elem.style.top = ypos + "px";var repeat = "moveElement('"+elementID+"',"+final_x+","+final_y+","+interval+")";elem.movement = setTimeout(repeat,interval);}function classNormal() {var btnList = $('ibanner_btn').getElementsByTagName('span');for (var i=0; i<btnList.length; i++){btnList[i].className='normal';}}function picZ() {var picList = $('ibanner_pic').getElementsByTagName('a');for (var i=0; i<picList.length; i++){picList[i].style.zIndex='1';}}var autoKey = false;function iBanner() {if(!$('ibanner')||!$('ibanner_pic')||!$('ibanner_btn')) return;$('ibanner').onmouseover = function(){autoKey = true};$('ibanner').onmouseout = function(){autoKey = false};var btnList = $('ibanner_btn').getElementsByTagName('span');var picList = $('ibanner_pic').getElementsByTagName('a');if (picList.length==1) return;picList[0].style.zIndex='2';for (var m=0; m<btnList.length; m++){btnList[m].onmouseover = function() {for(var n=0; n<btnList.length; n++) {if (btnList[n].className == 'current') {var currentNum = n;}}classNormal();picZ();this.className='current';picList[currentNum].style.zIndex='2';var z = this.childNodes[0].nodeValue-1;picList[z].style.zIndex='3';if (currentNum!=z){picList[z].style.left='650px';moveElement('picLi_'+z,0,0,10);}}}}setInterval('autoBanner()', 5000);function autoBanner() {if(!$('ibanner')||!$('ibanner_pic')||!$('ibanner_btn')||autoKey) return;var btnList = $('ibanner_btn').getElementsByTagName('span');var picList = $('ibanner_pic').getElementsByTagName('a');if (picList.length==1) return;for(var i=0; i<btnList.length; i++) {if (btnList[i].className == 'current') {var currentNum = i;}}if (currentNum==(picList.length-1) ){classNormal();picZ();btnList[0].className='current';picList[currentNum].style.zIndex='2';picList[0].style.zIndex='3';picList[0].style.left='650px';moveElement('picLi_0',0,0,10);} else {classNormal();picZ();var nextNum = currentNum+1;btnList[nextNum].className='current';picList[currentNum].style.zIndex='2';picList[nextNum].style.zIndex='3';picList[nextNum].style.left='650px';moveElement('picLi_'+nextNum,0,0,10);}}addLoadEvent(addBtn);addLoadEvent(iBanner);//$(document).ready(function(){$('#dogpic img').bind('mouseover',function(){$(this).fadeTo(200,1);}).bind('mouseleave',function(){$(this).fadeTo(200,0.8);})}) ; 
 

JScript code

jQuery.noConflict();jQuery(function($){    $('#dogpic img').bind('mouseover',function(){        $(this).fadeTo(200,1);    }).bind('mouseleave',function(){        $(this).fadeTo(200,0.8);    })})