van kampen定理
简·范·坎潘（Van Kampen）定理是低维几何与拓扑学的重要定理，它可以用来证明拓扑学空间的正则性质。
这一定理是简·范·坎潘出版《“平坦”空间表面的形态学》一书中提出的，并得到了普遍应用。
本质上，它是一种拓扑切换算法，用来决定z/Z的分配的数字，其旨在证明极限解析群的核心定理：解析空间的断裂计数守恒定理。
简·范·坎潘定理可以提供一种非常有效的方法来测试一个图的空间的表示。
它的精要如下，假设G是一个图，它有n个顶点，e个边，且无桥，那么有它的生成函数关于V、E以及F都有如下表示：V-E+F=2。
简·范·坎潘定理也可以用来计算带空洞特性的几何体的表示。
它所关注的是它关于路径和环的计数，即肯定路径的数量减去不肯定的环的数量，这里的不肯定环指的是拓扑面内路径和环的数量。
这一定理可以应用于计算循环水面，螺旋定位封锁器或管道内飞行CG坐标中的关系等方面，用来解决计算复杂问题。
总而言之，简·范·坎潘定理是低维几何与拓扑学一个重要的定理，它将证明拓扑学空间的正则性质，并可以计算几何体的表达，用来解决计算复杂问题，因此具有重要的应用价值。
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0890-********-2651COMPUTER SCIENCE 0950-58491873-6025COMPUTER SCIENCE 1566-25351872-6305COMPUTER SCIENCE 0020-01901872-6119COMPUTER SCIENCE 1386-45641573-7659COMPUTER SCIENCE 0020-02551872-6291COMPUTER SCIENCE 0306-43791873-6076COMPUTER SCIENCE 1387-33261572-9419COMPUTER SCIENCE 1058-05301934-8703COMPUTER SCIENCE 1392-124X null COMPUTER SCIENCE 1473-87161473-8724COMPUTER SCIENCE 1091-98561526-5528COMPUTER SCIENCE 1069-25091875-8835COMPUTER SCIENCE 0167-92601872-7522COMPUTER SCIENCE 1088-467X1571-4128COMPUTER SCIENCE 0953-********-7951COMPUTER SCIENCE 1683-3198null COMPUTER SCIENCE 2040-79392040-7947COMPUTER SCIENCE 1743-82251743-8233COMPUTER SCIENCE 0888-613X1873-4731COMPUTER SCIENCE 1758-03661758-0374COMPUTER SCIENCE 1875-68911875-6883COMPUTER SCIENCE 0975-********-9322COMPUTER SCIENCE 1841-98361841-9844COMPUTER SCIENCE 0218-84301793-6365COMPUTER SCIENCE。
刊名简称刊名全称ISSN小类名称（中文）0269-9648工程：工业PROBABILITY IN THE ENGINEERING AND INFORPROBAB ENG INFORAPPL MATH MODEL A PPLIED MATHEMATICAL MODELLING0307-904X工程：综合0927-6467工程：综合RUSS J NUMER ANARUSSIAN JOURNAL OF NUMERICAL ANALYSIS AN1239-6095环境科学ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MBOREAL ENVIRON R0167-9473计算机：跨学科应用COMPUT STAT DATACOMPUTATIONAL STATISTICS & DATA ANALYSISJ COMB OPTIM JOURNAL OF COMBINATORIAL OPTIMIZATION1382-6905计算机：跨学科应用0094-9655计算机：跨学科应用J STAT COMPUT SIJOURNAL OF STATISTICAL COMPUTATION AND S1387-3954计算机：跨学科应用MATH COMP MODELMATHEMATICAL AND COMPUTER MODELLING OF DMATHEMATICAL AND COMPUTER MODELLING0895-7177计算机：跨学科应用MATH COMPUT MODEMATHEMATICS AND COMPUTERS IN SIMULATION0378-4754计算机：跨学科应用MATH COMPUT SIMUQUEUEING SYST QUEUEING SYSTEMS0257-0130计算机：跨学科应用1615-3375计算机：理论方法FOUNDATIONS OF COMPUTATIONAL MATHEMATICSFOUND COMPUT MATFUZZY SET SYSTFUZZY SETS AND SYSTEMS0165-0114计算机：理论方法COMPUT COMPLEXCOMPUTATIONAL COMPLEXITY1016-3328计算机：理论方法STAT COMPUT STATISTICS AND 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MECH-EAPPLIED MATHEMATICS AND MECHANICS-ENGLIS1392-5113力学NONLINEAR ANAL-MNonlinear Analysis-Modelling and ControlNONLINEAR OSCIL N onlinear Oscillations1536-0059力学0044-2267力学ZAMM-Zeitschrift fur Angewandte MathematZAMM-Z ANGEW MATABSTR APPL ANAL A bstract and Applied Analysis 1085-3375数学ACTA MATHEMATICA0001-5962数学ACTA MATH-DJURSHANN MATH ANNALS OF MATHEMATICS0003-486X数学0273-0979数学B AM MATH SOC BULLETIN OF THE AMERICAN MATHEMATICAL SO0010-3640数学COMMUN PUR APPLCOMMUNICATIONS ON PURE AND APPLIED MATHECONSTR APPROX CONSTRUCTIVE APPROXIMATION0176-4276数学DUKE MATH J DUKE MATHEMATICAL JOURNAL0012-7094数学INVENT MATH INVENTIONES MATHEMATICAE0020-9910数学0894-0347数学J AM MATH SOC JOURNAL OF THE AMERICAN MATHEMATICAL SOC0021-7824数学JOURNAL DE MATHEMATIQUES PURES ET APPLIQJ MATH PURE APPL0065-9266数学MEM AM MATH SOC M EMOIRS OF THE AMERICAN MATHEMATICAL SOCPUBL MATH-PARIS P UBLICATIONS MATHEMATIQUES DE L IHES0073-8301数学ADV MATH ADVANCES IN MATHEMATICS0001-8708数学Aequationes 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目录什么是Icepak? (2)程序结构 (2)软件功能 (3)练习一翅片散热器 (8)练习二辐射的块和板 (43)练习三瞬态分析练习四笔记本电脑练习五改进的笔记本电脑练习六 IGES模型的输入练习七非连续网格•练习八 Zoom-in 建模练习1 翅片散热器介绍本练习显示了如何用Icepak做一个翅片散热器。
通过这个练习你可以了解到：•打开一个新的project•建立blocks, openings, fans, sources, plates, walls•包括gravity的效应,湍流模拟•改变缺省材料•定义网格参数•求解•显示计算结果云图，向量和切面问题描述机柜包含5个高功率的设备（密封在一个腔体内），一块背板plate，10个翅片fins，三个fans, 和一个自由开孔，如图1.1所示。
Fins和plate用extruded aluminum. 每个fan质量流量为0.01kg/s，每个source为33W.根据设计目标，当环境温度为20C时设备的基座不能超过65C。
图 1.1:问题描述步骤 1: 创建一个新的项目1. 启动Icepak, 出现下面窗口。
2. 点击New打开一个新的Icepak project.就会出现下面的窗口：3. 给定一个项目的名称并点击Create.(a) 本项目取名为fin,(b) 点击Create.Icepak就会生成一个缺省的机柜，尺寸为 1 m ⨯1 m ⨯1 m。
你可以用鼠标左键旋转机柜，或用中键平移，右键放大/缩小。
还可以用Home position 回来原始状态。
4. 修改problem定义，包括重力选项。
Problem setup Basic parameters(a) 打开Gravity vector选项，保持缺省值。
(b) 保持其它缺省设置。
(c) 点击Accept保存设置。
步骤 2: 建立模型建模之前，你首先要改变机柜的大小。
然后建立一块背板和开孔，接下来就是建立风扇，翅片和发热设备。
