查询词典 unitary invariant

Based on the former chapter, one method based on fundamental matrix and crossrate is proposed in this chapter to render novel image considering the character of fundamental and cross-rate invariant in the perspective project, which utilized the correspondence relationship between the given two images and projective invariant between images to render novel image.

该方法通过将基本矩阵的稳定性求解问题转化为一个有条件的极值求解问题，结合遗传算法良好的全局寻优特点，将该方法很好地引入到基本矩阵的求解中，并取得了良好的实验结果。（5）第五章在上一章的基础上，综合基本矩阵和透视投影中的交比不变性的特点，提出了一种基于基本矩阵和交比的生成新图象的方法，这种利用已知两幅图象之间存在的匹配关系和新图象和已知图象存在的透视不变量，来生成新图象。

In addition,we prove that the invariant rings of the maximal subgroups of class C_1 of the general linear group are polvnomial,and so do the invariant rings of root subgroups of the special linear groups.

另外，证明有限域上一般线性群的C_1类极大子群和特殊线性群的根子群的不变式环是多项式的。

Quasi-invariant subspaces similar to the quasi-invariant subspace generated by z+w are completely depicted.

给出了和z+w生成的拟不变子空间相似的拟不变子空间的完全刻画。

Simplicial homology group; topological invariant; homotopy type invariant; degree distribution; clustering coefficient; average distance; simplicial complex; triangulation; complex network; orientability

基础科学，数学，几何、拓扑单纯同调群；拓扑不变量；伦型不变量；度分布；簇系数；平均距离；单纯复形；三角剖分；复杂网络；定向

In this chapter, firstly, the definition of rough semigroups is given afresh. Then based on rough groups, rough subgroups, rough cosets, rough invariant subgroups, some properties of rough subgroups and rough invariant subgroups and the concept of rough quotient groups are introduced. Finally, based on some concepts of homomorphism and isomorphism of rough groups, basic homomorphism theorem and isomorphism theorem of rough groups are put forward and proved.

在这一章中，首先重新给出了粗糙半群的定义，其次在粗糙群、粗糙子群、粗糙陪集、粗糙不变子群的基础上，给出了粗糙子群的若干性质、粗糙不变子群的三个重要性质和粗糙商群的定义，最后在粗糙群同态与同构的基础上，给出了粗糙群同态基本定理与同构定理。

Based on two algebra Riccati equation method especially the structure of the system Hamilton matrix and system observability theory, the role of invariant zeros in constructing system reduced order controllers was given. That is, by the suitable selection of free parameters of the system H(subscript ∞) controller, some points which were symmetry with the unstable invariant zeros about the imaginary axis became the stable poles of the system controller which were not observable and could be reduced from the system, thus could get further reduced order controller.

基于2代数黎卡提方程方法，特别是系统Hamilton矩阵的结构特点和系统可观测性理论，论述了不变零点在构造系统降阶控制器中所起的作用，即通过选择控制器的自由参量，使某些不稳定的不变零点关于虚轴对称的点构成系统控制器不可观的稳定极点，从而实现了控制器进一步降阶。

This paper analyses the influence of scale factor on moment invariant features in discrete,constructs a new moment invariant with both scale,translation and rotating invariance.

分析了在离散状态下比例因子对不变矩特征的影响，构造了一种新的不变矩，使其具有平移、旋转和比例因子的不变性。

For a positive recurrent Markov chain, there exists a unique invariant distribution. It is interesting to study that under what conditions a Markov process has an invariant measure. This question has been studied by many authors.

对于正常返的Markov链而言，它存在唯一的不变测度，在什么条件下一个Markov过程存在不变测度是非常有趣的问题，这个问题已经被一些学者研究过。

Then,we discuss the question that when there is a q-process P,such thatπwhich is theμ-invariant measure orμ-subinvariant measure of a given q-pair,is theμ-invariant measure of P...

第三章分别分了三种情形，对给了保守或π-非保守q-对的μ-不变测度或μ-次不变测度π，何时存在q-过程P，使得π是P的μ-不变测度的问题进行了讨论研究。

Even weassume that such an invariant measure exists,there are still problems related to the nonex-istence of the corresponding functional integral when we apply this technique to concreteproblems,such as constructing gauge invariant operatorsout of gauge variantones.

即使我们假设这样一个不变测度存在，当我们将这一技术应用到具体问题时，比如由规范非不变的算符构造规范不变的算符，仍然存在由于相应的泛函积分不存在而带来的问题。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。