vector norm

The euclidean norm of an n-vector x with real or complex components is defined as following.

凡具实数分量或复数分量的n - 维向量x的欧氏范数被定义如下.

In this paper, we study a norm denned on tangent vectors to earthquake curves. We show first that the norm of the initial tangent vector to an earthquake curve ht is equivalent to the Thurston norm of the earthquake measure a which determines the curve.

本文研究了定义在earthquake曲线切向量上的范数，首先证明了一条earthquake曲线ht上初始切向量的范数等价于earthquake测度σ的Thurston范数。

The norm of a quaternion is similar to that of a vector.

四元数的平均值与矢量的有点相似.

All of them have the characteristics of good unbias ( s) edness, powerful unimodality and high sensitivity, etc., and can be applied to evaluation of defocusing and motion blurring. The vector norm sum of gray gradient is the best among them.

它们都有无偏性好、单峰性强、灵敏度高等特点，可用于离焦模糊和运动模糊情况的评价，且灰度梯度向量模方和最理想。

For instance, it's also the square of the Euclidean norm on R2, the length of a two-dimensional vector, a part of the triangle inequality, and quite a bit more.

例如，R2的平方、二维向量的长度、三角不等式等都存在勾股定理。

Finally, we also extend the L1-median estimate in our reversion strategy by replacing the Euclidean norm of L1-median with Huber loss function. We re-estimate the underlying stock price vector and obtain the similar results with L1-median by experiments.

最后，作为对L1-median估计的扩展，我们通过替换L1-median中的欧几里德范数为Huber损失函数，重新估计股票价格相对向量并进行实验，我们得到了与L1-median相近的结果。