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The topology analysis of vector field around "a singular point" is refered in the study of the topology of three-dimensional symmetric tensor field around a simple degenerated point, which can be classified into three types of hyperstreamline sectors:"hyperbolic sector","parabolic sector" and "elliptic sector".

本文参考矢量场中"奇点"附近的矢量轨迹分布结构,研究了张量场中"退化点"附近的特征向量分布形态。确定了"退化点"附近"超流线体"轨迹的三种形态。"抛物扇区"、"双曲扇区"、"椭圆扇区"及其这些扇区的边界。

This method is based on tensor and tensor algebra.

中文摘要:提出了一种基于张量学习机的遥感影像目标探测方法。

In this part, a new method, using tensor algebra, is developed to yield any order approximate analytical solution of a universal nonlinear dynamic system equation, which is abstracted from a large class of nonlinear dynamic systems in many different disciplines.

该篇采用张量代数,首次用严格的分析方法获得了适合不同学科的、普遍的非线性动力系统方程任意阶近似解析解。

Tensor algebra is tied to coordinates.

张量代数则离不开坐标系。

A higher-order tensor framework for video analysis and understanding is proposed in this paper.

提出了一种基于高阶张量表示的视频语义分析与理解框架。

It is emphasized that the key problem in tensor analysis is to establish the mathematical equations of physical laws which are invariable when the coordinate system is changed.

在数学上将客观定律用量的分量形式表达为对坐标系具有不变性的方程,是张量分析所要解决的核心问题。

He developed a network split algorithm by using the concept of tensor analysis.

中文摘要:分块计算最早由Kron与20实际50年代初提出,他利用张量分析的概念发展了网络分裂算法。

At last, to analysis permeability tensor characteristic roundly in quantity grade, position and the deep relation of chamber ,etc.

最后,对渗透张量在量级、方位以及与洞深关系等方面的特征进行了系统分析,以此达到准确刻画岩体渗透性的目的。

This paper studies the stability of the system =f, some simple criterion for stability is proved using the methods of global linearization and tensor space analysis.

本文首先将非线性系统全局线性化,然后在张量空间中分析了其稳定性态,给出了原系统简洁的稳定性判据。

The Navier-Strokes equation has been educed with tensor analysis theory in helical curved coordinate system.

张量分析理论,推导出了正交螺旋曲线坐标系下N-S方程。

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