这本书可以看作是一本教程，并且可以作为凸集，多面体，多面体，组合拓扑，Voronoi图和Delaunay三角剖分的一组注释。

人工智能机器学习中的凸优化问题

在二元数字通信系统中，假设为H1时，信源输出为常值正电压A，假设为H0时，信源输出为零电平；信号在通信信道传输过程中叠加了高斯噪声n(t)，每种信号的持续时间为（0,T)，在接收端对接收到的信号x(1)在（0,T)时间内进行了N次独立采样，样本为xk (k=1,2,···,N)。已知噪声样本nk是均值为零方差为的高斯噪声。

埃及的牛人写的.. Imagine that you have a piece of wood and a number of metal pins come out from it randomly (as in the above image), and you picked up an elastic rubber band and open it wide with your hand to contain all the metal pins and let it go. You will observe t hat the elastic rubber band will shrink and snap around the metal pins (only the outer metal pins). These outer segments of the elastic band form the convex hull.

经典的convex optimization书+课件资料，值得收藏，是学习优化的入门资料之一。

埃及的牛人写的.. Imagine that you have a piece of wood and a number of metal pins come out from it randomly (as in the above image), and you picked up an elastic rubber band and open it wide with your hand to contain all the metal pins and let it go. You will observe that the elastic rubber band will shrink and snap around the metal pins (only the outer metal pins). These outer segments of the elastic band form the convex hull.

The lens principle is demonstrated in two versions, so as to change people's way of thinking through this example. 分两种版本进行透镜原理演示，从而通过这个例子改变人们的思考方式。

本文主要介绍了凸包，凸组合，凸锥的概念以及相关运算

Optimization problems arise naturally in many application fields. Whatever people do, at some point they get a craving to organize things in a best possible way. This intention, converted in a mathematical form, turns out to be an optimization problem of certain type. Depending on the field of interest, it could be the optimal design problem, the optimal control problem, the optimal location problem or even the optimal diet problem.

CVX拼图：使用Matlab和CVX工具箱解决拼图问题（THU凸优化家庭作业）