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<html><head><meta HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=gb2312"><title>组合数学</title><script LANGUAGE="JavaScript"><!-- document.onmouseover = doDocumentOnMouseOver ; document.onmouseout = doDocumentOnMouseOut ; function doDocumentOnMouseOver() { var eSrc = window.event.srcElement ; if (eSrc.className == "item") { window.event.srcElement.className = "highlight"; // change class } } function doDocumentOnMouseOut() { var eSrc = window.event.srcElement ; if (eSrc.className == "highlight") { window.event.srcElement.className = "item"; // change class } }var bV=parseInt(navigator.appVersion);NS4=(document.layers) ? true : false;IE4=((document.all)&&(bV>=4))?true:false;ver4 = (NS4 || IE4) ? true : false;function expandIt(){return}function expandAll(){return}//--></script><script LANGUAGE="JavaScript1.2"><!--isExpanded = false;function getIndex(el) { ind = null; for (i=0; i<document.layers.length; i++) { whichEl = document.layers[i]; if (whichEl.id == el) { ind = i; break; } } return ind;}function arrange() { nextY = document.layers[firstInd].pageY + document.layers[firstInd].document.height; for (i=firstInd+1; i<document.layers.length; i++) { whichEl = document.layers[i]; if (whichEl.visibility != "hide") { whichEl.pageY = nextY; nextY += whichEl.document.height; } }}function initIt(){ if (NS4) { for (i=0; i<document.layers.length; i++) { whichEl = document.layers[i]; if (whichEl.id.indexOf("Child") != -1) whichEl.visibility = "hide"; } arrange(); } else { tempColl = document.all.tags("DIV"); for (i=0; i<tempColl.length; i++) { if (tempColl(i).className == "child") tempColl(i).style.display = "none"; } }}function expandIt(el) { if (!ver4) return; if (IE4) {expandIE(el)} else {expandNS(el)}}function expandIE(el) { whichEl = eval(el + "Child"); whichIm = event.srcElement; if (whichEl.style.display == "none") { whichEl.style.display = "block"; whichIm.src = "images/minus.gif"; } else { whichEl.style.display = "none"; whichIm.src = "images/icon-t.gif"; } window.event.cancelBubble = true ;}function expandNS(el) { whichEl = eval("document." + el + "Child"); whichIm = eval("document." + el + "Parent.document.images['imEx']"); if (whichEl.visibility == "hide") { whichEl.visibility = "show"; whichIm.src = "images/minus.gif"; } else { whichEl.visibility = "hide"; whichIm.src = "images/icon-t.gif"; } arrange();}function showAll() { for (i=firstInd; i<document.layers.length; i++) { whichEl = document.layers[i]; whichEl.visibility = "show"; }}function expandAll(isBot) { newSrc = (isExpanded) ? 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}") } write("</STYLE>");}onload = initIt;//--></script><base target="main"></head><body BGCOLOR="#ffffcc" LINK="#000000" VLINK="#ff0000" ALINK="#0000ff" topmargin="11"leftmargin="15" marginwidth="15" marginheight="11"><div ID="elZeroParent" CLASS="parent"><a HREF="0.htm" class="parent" target="right"><img SRC="1.gif" NAME="imEx" BORDER="0" HEIGHT="10" WIDTH="5"><font SIZE="-1" COLOR="#000000">前 言</font></a><br></div><div ID="elOneParent" CLASS="parent"><a HREF="#" class="item"onClick="expandIt('elOne'); return false"><img SRC="down.gif" NAME="imEx" BORDER="0" HEIGHT="10" WIDTH="5"><font SIZE="-1" COLOR="#000000">第一章 排列组合</font></a></div><div ID="elOneChild" CLASS="child"><p> <a HREF="1/1_1.htm" class="item" target="right">1.1 加法法则与乘法法则</a><br> <br> <a HREF="1/1_2.htm" class="item" target="right">1.2 排列与组合</a><br> <br> <a HREF="1/1_3.htm" class="item" target="right">1.3 Stirling近似公式</a><br> <br> <a HREF="1/1_4.htm" class="item" target="right">1.4 模型转换</a><br> <br> <a HREF="1/1_5.htm" class="item" target="right">1.5 全排列的生成算法</a><br> <br> <a HREF="1/1_6.htm" class="item" target="right">1.6 组合的生成</a><br> <br> <a HREF="1/1_7.htm" class="item" target="right">1.7 可重组合</a><br> <br> <a HREF="1/1_8.htm" class="item" target="right">1.8 若干等式及其组合意义</a><br> <br> <a HREF="1/1_9.htm" class="item" target="right">1.9 应用举例</a><br> <br> <a HREF="1/ti.htm" class="item" target="right">习题</a><br> <br></div><div ID="elOneParent" CLASS="parent"><a HREF="#" class="item"onClick="expandIt('elTwo'); return false"><img SRC="down.gif" NAME="imEx" BORDER="0" HEIGHT="10" WIDTH="5"><font SIZE="-1" COLOR="#000000">第二章 母函数与递推关系</font></a></div><div ID="elTwoChild" CLASS="child"><p> <a HREF="2/2_1.htm" class="item" target="right">2.1 母函数</a><br> <br> <a HREF="2/2_2.htm" class="item" target="right">2.2 递推关系</a><br> <br> <a HREF="2/2_3.htm" class="item" target="right">2.3 母函数的性质</a><br> <br> <a HREF="2/2_4.htm" class="item" target="right">2.4 递推关系</a><br> <br> <a HREF="2/2_5.htm" class="item" target="right">2.5 线性常系数递推关系</a><br> <br> <a HREF="2/2_6.htm" class="item" target="right">2.6 整数的拆分和Ferrers图像</a><br> <br> <a HREF="2/2_7.htm" class="item" target="right">2.7 指数型母函数</a><br> <br> <a HREF="2/2_8.htm" class="item" target="right">2.8 母函数和递推关系应用举例</a><br> <br> <a HREF="2/2_9.htm" class="item" target="right">2.9 排错问题</a><br> <br> <a HREF="2/2_10.htm" class="item" target="right">2.10 Stirling数</a><br> <br> <a HREF="2/2_11.htm" class="item" target="right">2.11 Catalan 数</a><br> <br> <a HREF="2/timu.htm" class="item" target="right">习题</a><br> <br></div><div ID="elOneParent" CLASS="parent"><a HREF="#" class="item"onClick="expandIt('elThree'); return false"><img SRC="down.gif" NAME="imEx" BORDER="0" HEIGHT="10" WIDTH="5"><font SIZE="-1" COLOR="#000000">第三章 容斥原理和鸽巢原理</font></a></div><div ID="elThreeChild" CLASS="child"><p> <a HREF="3/3_1.htm" class="item" target="right">3.1 容斥原理引论</a><br> <br> <a HREF="3/3_2.htm" class="item" target="right">3.2 容斥原理</a><br> <br> <a HREF="3/3_3.htm" class="item" target="right">3.3 例</a><br> <br> <a HREF="3/3_4.htm" class="item" target="right">3.4 错排问题</a><br> <br> <a HREF="3/3_5.htm" class="item" target="right">3.5 棋盘多项式和有限制排列</a><br> <br> <a HREF="3/3_6.htm" class="item" target="right">3.6 一般公式</a><br> <br> <a HREF="3/3_7.htm" class="item" target="right">3.7 反演</a><br> <br> <a HREF="3/3_8.htm" class="item" target="right">3.8 鸽巢原理之一</a><br> <br> <a HREF="3/3_9.htm" class="item" target="right">3.9 鸽巢原理之二</a><br> <br> <a HREF="3/3_10.htm" class="item" target="right">3.10 Ramsey问题</a><br> <br> <a HREF="3/3_11.htm" class="item" target="right">3.11 Ramsey数</a><br> <br> <a HREF="3/ex3.htm" class="item" target="right">习题</a><br> <br></div><div ID="elFourParent" CLASS="parent"><a HREF="#" class="item"onClick="expandIt('elFour'); return false"><img SRC="down.gif" NAME="imEx" BORDER="0" HEIGHT="10" WIDTH="5"><font SIZE="-1" COLOR="#000000">第四章 Pólya定理</font></a></div><div ID="elFourChild" CLASS="child"><p> <a HREF="4/4_1.htm" class="item" target="right">4.1 群的概念</a><br> <br> <a HREF="4/4_2.htm" class="item" target="right">4.2 置换群</a><br> <br> <a HREF="4/4_3.htm" class="item" target="right">4.3 循环、奇循环与偶循环</a><br> <br> <a HREF="4/4_4.htm" class="item" target="right">4.4 Burnside引理</a><br> <br> <a HREF="4/4_5.htm" class="item" target="right">4.5 Pólya定理</a><br> <br> <a HREF="4/4_6.htm" class="item" target="right">4.6 例</a><br> <br> <a HREF="4/4_7.htm" class="item" target="right">4.7 母函数型的Pólya定理</a><br> <br> <a HREF="4/4_8.htm" class="item" target="right">4.8 图的计数</a><br> <br> <a HREF="4/ex4.htm" class="item" target="right">习题</a><br> <br></div><div ID="elSixParent" CLASS="parent"><a HREF="#" class="item"onClick="expandIt('elSix'); return false"><img SRC="down.gif" NAME="imEx" BORDER="0" HEIGHT="10" WIDTH="5"><font SIZE="-1" COLOR="#000000">第六章 线性规划</font></a></div><div ID="elSixChild" CLASS="child"><p> <a HREF="6/6_1.htm" class="item" target="right">6.1 问题的提出</a><br> <br> <a HREF="6/6_2.htm" class="item" target="right">6.2 凸集</a><br> <br> <a HREF="6/6_3.htm" class="item" target="right">6.3 一般提法和几何意义</a><br> <br> <a HREF="6/6_4.htm" class="item" target="right">6.4 单纯形法理论基础</a><br> <br> <a HREF="6/6_5.htm" class="item" target="right">6.5 单纯形法和单纯形表格</a><br> <br> <a HREF="6/6_6.htm" class="item" target="right">6.6 改善的单纯形法表格</a><br> <br> <a HREF="6/6_7.htm" class="item" target="right">6.7 二阶段法与大M法</a><br> <br> <a HREF="6/6_8.htm" class="item" target="right">6.8 退化情形及其他</a><br> <br> <a HREF="6/6_9.htm" class="item" target="right">6.9 对偶原理</a><br> <br> <a HREF="6/6_10.htm" class="item" target="right">6.10 对偶单纯形法</a><br> <br> <br> <br></div><script LANGUAGE="JavaScript1.2"><!--if (NS4) { firstEl = "elOneParent"; 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