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1·In this article Invariant Theory is used in the image recognition to resolve the image distortions problems.

为解决此类问题，本文将不变量理论应用于目标识别中，以解决因目标移动造成的失真问题。

2·Visual invariant theory is eighteen eighties at the end of the invariant theory is introduced to a research direction in the field of computer vision research.

视觉不变量理论是十九世纪八十年代末将不变量理论引入到计算机视觉研究领域中形成的一个研究方向。

3·By making use of the invariant theory, the exact solution for a time-dependent system of double-well Bose-Einstein Condensate and corresponding geometric phase are obtained.

利用构造不变量理论，研究了一种含时双阱玻色-爱因斯坦凝聚系统的精确解，得到了相应的几何相因子。

4·By applying the structure invariant theory in the control strategy, the feedforward-feedback control theory is applied in the control system design to reduce the redundant force.

论文从控制系统的结构方面，利用结构不变性原理，针对位置扰动设计专门的前馈补偿控制器，减小位置扰动的影响。

5·The main problems which invariant theory research are the set of generators of invariants, the defining relations of the generators of invariants, the structure of invariant ring, and so on.

不变理论研究的主要问题是不变环的生成元集合，生成元之间的定义关系及环结构等等。

6·What is relatively invariant, however, is the theory behind the therapy.

然而，相对不变的是治疗背后的理论。

7·The first integration and integrated invariant of dynamic system belongs to important contents of solving equations of motion integrated theory during solving equations in dynamic system.

在求解动力学系统的方程中，动力学系统的第一积分与积分不变量是求解运动方程积分理论的重要内容之一。

8·Ergodic theorems and the existence of invariant measures are two major topics in Ergodic theory.

遍历定理和不变测度的存在性是遍历理论中的二个基本研究主题。

9·Through comparison between theory proof and simulation, we find the approximation method is feasible in linear time invariant (LTI) system of concentration and distribution parameter.

通过理论推导与仿真结果的对比可知，数据关联抖动估算方法对线性时不变的集总参数，分布参数系统均是可行的。

10·As in the theory of compatible locally convex topologies, the invariant properties of quasi - compatible locally convex topologies are obtained.

如同在相容局部凸拓扑的理论中，拟相容局部凸拓扑的不变性质被获得。