查询词典 simultaneous invariant

When a new invariant is found, an important problem is to find its "geometric" relationship (relationship with geometric meaning) with basic invariants. The discovery of this relationship is mainly based on algebraic manipulations of invariants.

发现一个不变量后，如何找到它与其他不变量的关系，是实际应用中的一个重要问题，这种关系的探讨主要依靠在不变量层次上的代数运算。

ABSTRACT This dissertation describes our investigation of the geometric invariance and geometric invariant over projective transformation group, with the emphasis on the estimation of geometric constraints in image sequence and their applications in computer vision.

本论文介绍了作者对射影变换群上的几何不变性及几何不变量的研究，重点研究了序列图象间几何约束关系的估计及其在计算机视觉中的应用。

This article begins with the I/O description of the system, then turns to the state space of linear time-invariant continuous system. It elaborates how to establish the controllable standard model of Gramian matrix and how to realize it, furthermore the article provides a analytical bridge circuit.

由系统的输入－输出描述法着手进而介绍线性定常连续系统的状态空间描述，详细阐述了格兰姆可控规范型矩阵的构造和实现步骤，并就此情况给出了一个具有较高分析价值的桥式电路。

In this paper, we mainly concern the persistence of lower-dimensional invariant tori in generalized Hamiltonian systems.

本文主要研究广义Hamilton 系统的低维不变环面的保持性。

Such an expression describes an invariant under a Hermitian transformation.

这样的措辞描述了不变下，厄米特变换。

If the dynamicmapping thus determined is continuous,the two topological spaces is said to be homeomorphic and their respective energy shellsdo have the same dynamic property of being subdividable into invariant subspaces according to the same set of quantum num-bers.

如果这样决定的动力学映射是连续的，它就是两个拓扑空间之间的同胚映射，而两个系统的能量壳有同样的动力学性质，即可以按同一套量子数划分不变子空间。

In the first part, the concepts of the completely normal spaces and strong completely normal spaces in L-topological spaces are defined, which are the generalization of the completely normal spaces in general topological spaces. They are some good properties such as hereditary, weakly homeomorphism invariant properties, good L-extension, but they arent producible in general.

第一部分的主要内容如下：第一部分这一部分是将一般拓扑学的完全正规分离性的概念推广到了L-拓扑空间，给出了L-拓扑空间的完全正规分离性和强完全正规分离性的定义并讨论了它们的若干性质，比如，它们都是可遗传的，弱同胚不变的，"Lowen意义下好的推广"等。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

Some sufficient condition to guarantee the existence of global invariant manifold s consisting zero homotopic closed orbits is gived.

当在每个不变柱面上有奇点时证明了这类系统局部极限环的存在性；同时给出了这类系统存在由第一类闭轨组成的全局不变流形的条

In this study, we adopt a Scale-Invariant Gauss-Markov hyetograph that show the maximum likelihood estimator of the dimensionless hyeto graph. There are five significant principal components were extracted which explained total variance about 90%.

研究中采用具尺度不变性高斯马可夫雨型（Scale-Invariant Gauss-Markov，简称SIGM），并将此资料进行多变量统计分析，以主成份分析法萃取出设计雨型之五个主要成份，此五个主成份具有解释设计雨型总变异数之程度约为90%。

The small blue capacitor has very high chances to go fully shorted compare to electrolytic capacitor which is very rare.

小蓝电容器具有很高的机会去充分地缩短了比较电解电容器，这是非常罕见的。

In the Italian campaigns of 1513 and 1515, when the Swiss won the victories of Novara and Marignan, he acted as army chaplain.

在意大利的运动， 1513年和1515年，当瑞士赢得了胜利，诺瓦拉和marignan ，他担任军队的牧师。