In this paper, we propose a multi resolution spatiotemporal derivative space method, and apply the method to some real debris flow video images.

在这篇文章中，我们提出了多分辨率时空衍生空间方法，和方法运用到一些真实的泥石流视频图像。

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This paper defines a kind of derivative for real function on convex set which is in linear space. By means of the derivative we study convexity of function and obtain some decision theories.

本文对线性空间中的凸集上的实值函数定义一种导数，用其研究函数凸性，得到了上述三种凸函数的若干判定定理。

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We obtain two formulas about the covariant derivative of the coordinate functions on the unit sphere in Eucdidean space.

得到了欧氏空间中，单位球面上坐标函数关于某一特定标架场的协变微分的两个等式。

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