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<div style='text-align:right;position:absolute;top:92.0%;left:72.65%;
width:18.91%;height:3.0%'><span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";font-size:58%;mso-field-code:meta16'>94</span><span
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<div style='position:absolute;top:3.75%;left:5.05%;width:109.92%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定义</span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span></span>一个关系是一个版本空间的<span
style='font-family:仿宋_GB2312;mso-ascii-font-family:仿宋_GB2312;mso-fareast-font-family:
仿宋_GB2312'>极小(最特殊)</span>元素<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>, iff<span style="mso-spacerun:
yes"> </span></span>该空间 </div>
<div style='position:absolute;top:9.25%;left:5.05%;width:95.88%;height:5.25%'>中不存在其它元素比它更特殊<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>;
</span>反之<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'>, </span>定义极大元素<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:15.0%;left:5.05%;width:95.88%;height:4.75%'> </div>
<div style='position:absolute;top:19.75%;left:5.05%;width:109.92%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定义</span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span></span>一个版本空间是<span style='font-family:
仿宋_GB2312;mso-fareast-font-family:仿宋_GB2312'>良构</span>的<span style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman"'>, iff<span
style="mso-spacerun: yes"> </span></span>每个关系链有一个极大元和一 </div>
<div style='position:absolute;top:25.0%;left:5.05%;width:95.88%;height:5.25%'>个极小元<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:31.0%;left:5.05%;width:95.88%;height:4.75%'> </div>
<div style='position:absolute;top:35.75%;left:5.05%;width:95.88%;height:5.25%'>有限版本空间都是良构的<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:41.5%;left:5.05%;width:95.88%;height:4.75%'> </div>
<div style='position:absolute;top:46.5%;left:5.05%;width:111.42%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定义</span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span></span>给定一个良构的版本空间<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>V</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'>. </span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>V</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>的<span style='font-family:仿宋_GB2312;
mso-fareast-font-family:仿宋_GB2312'>特殊有界集</span><span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>S</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>是<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'> </span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>V</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>的极小 </div>
<div style='position:absolute;top:51.75%;left:5.05%;width:95.88%;height:5.25%'>元集<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>,
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>V</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>的<span style='font-family:仿宋_GB2312;
mso-fareast-font-family:仿宋_GB2312'>一般有界集</span><span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>G</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>是<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'> </span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>V</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>的极大元集<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:57.5%;left:5.05%;width:95.88%;height:4.75%'> </div>
<div style='position:absolute;top:62.5%;left:5.05%;width:114.98%;height:5.25%'><span
style='font-family:黑体;mso-fareast-font-family:黑体'>定理</span><span
style='font-family:宋体;mso-ascii-font-family:宋体'>[有界集]</span><span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'><span
style="mso-spacerun: yes"> </span></span>设<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman"'><i><P,N,C,L></i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>是一个具有良构版本空间<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>V</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>的概念形 </div>
<div style='position:absolute;top:67.75%;left:5.05%;width:112.92%;height:5.25%'>成问题且有界集为<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>S</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>和<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>G</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'>. </span>一个关系<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'> </span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>r</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>在<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>V</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>中<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'> iff<span style="mso-spacerun: yes"> </span></span>它由<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>S</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>中元素作 </div>
<div style='position:absolute;top:73.0%;left:5.05%;width:95.88%;height:5.25%'>下确界和<span
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"'>
</span><span lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman";mso-fareast-language:ZH-CN'><i>G</i></span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>中元素作上确界<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>. </span></div>
<div style='position:absolute;top:78.75%;left:5.05%;width:95.88%;height:4.75%'> </div>
<div style='position:absolute;top:83.75%;left:5.05%;width:99.43%;height:5.25%'><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>V</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>中任一元素可由<span style='font-family:"Times New Roman";mso-ascii-font-family:
"Times New Roman"'> </span><span lang=EN-US style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman";mso-fareast-language:ZH-CN'><i>S</i></span><span
lang=EN-US style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'> </span>或<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'> </span><span lang=EN-US
style='font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman";
mso-fareast-language:ZH-CN'><i>G</i></span><span lang=EN-US style='font-family:
"Times New Roman";mso-ascii-font-family:"Times New Roman";mso-fareast-language:
ZH-CN'> </span>中一个元素出发的有限弧确定<span style='font-family:"Times New Roman";
mso-ascii-font-family:"Times New Roman"'>.<span style="mso-spacerun:
yes"> </span></span></div>
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