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一、概率论

1.1 基本名词概念

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201001666.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201017177.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201103126.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

1.2 概率的定义

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201235567.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

1.3 条件概率的定义

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201317608.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

1.4 条件概率的三大公式

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201415281.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/2020072020142933.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201439375.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

1.5 独立性

![在这里插入图片描述]( https://img-blog.csdnimg.cn/2020072020153680.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

1.6 条件独立性

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201624455.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201641850.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

1.7 概率图模型常用的三个概念

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201801959.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201812650.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201830269.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)
![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720201853166.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

二、图论

![在这里插入图片描述]( https://img-blog.csdnimg.cn/20200720202039826.png?x-oss-process=image/watermark ,type_ZmFuZ3poZW5naGVpdGk,shadow_10,text_aHR0cHM6Ly9ibG9nLmNzZG4ubmV0L3FxXzM0MjEzMjYw,size_16,color_FFFFFF,t_70)

圈的概念:如图1中的1265形成了了一个圈,图2中的1253形成了一个圈

posted on 2020-07-20 20:33  一抹烟霞  阅读(608)  评论(0)    收藏  举报

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