release post on convex optimization, update opa references
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title: Josh 的学习笔记之凸优化 (Part 1 —— 凸集)
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mathjax: true
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comments: true
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copyright: true
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sticky: false
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toc:
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categories:
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- - Josh 的学习笔记
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- 凸优化
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tags:
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- 凸优化
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abbrlink: 43146ee9
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date: 2022-03-29 11:07:04
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---
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# 仿射集合和凸集
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  设 $x_1 \ne x_2$ 是 $\mathbf{R}^n$ 空间中的两个点,则具有下列形式的点
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$$
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y = \theta x_1 + (1-\theta)x_2,\theta \in \mathbf{R}
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$$
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组成一条穿过 $x_1$ 和 $x_2$ 的**直线**(*line*). 参数 $\theta = 0$ 对应 $y=x_2$,$\theta = 1$ 表明 $y = x_2$. 参数 $\theta$ 的值在
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