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Definitions
 two-norm
noun
1. Mathematical measure of length given by "the square root of the squares." Denoted by $, , \cdot, , _2$, the two-norm of a vector $\vec v=<a_1,a_2,\ldots,a_n>$ is $, , \vec v, , _2=\sqrt{a_1^2+a_2^2+\cdots+a_n^2}$. The two norm of an $m\times m$ matrix $A$ is defined by $\max_{\vec v\neq\vec 0}\frac{, , A\vec v, , _2}{, , \vec v, , _2}$ where $\vec v$ is an m-dimensional vector that is not the zero vector.

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