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#8 第3章附加题1

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opened 3 years ago by 黄定江 · 0 comments
黄定江 commented 3 years ago

设 是 个正数，证明：由 定义的函数 是一个范数。

设 ![](https://render.githubusercontent.com/render/math?math=a_1,a_2,\cdots,a_n) 是 ![](https://render.githubusercontent.com/render/math?math=n) 个正数，证明：由 ![](https://render.githubusercontent.com/render/math?math=\Omega(x)=(\sum_{i=1}^{n}{a_i}x_i^2)^\frac{1}{2}) 定义的函数 ![](https://render.githubusercontent.com/render/math?math=\Omega:\mathbb{R}^n\to\mathbb{R}) 是一个范数。
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向量和矩阵基础
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