查询词典 birational invariant

An important property of quantum entanglement is that the entanglement of a quantum state remains invariant under local unitary transformations on the subsystems.

量子纠缠的一个重要性质是在局部幺正变换下是不变的。

Unlike the LSD,the SIC-LSD Hamiltonian is not invariant undera unitary transformation among the occupied orbitals,which must be determined self-consistentlyfrom minimizing the SIC-LSD total energy.

与LSD近似不同，SIC-LSD近似的哈密顿量没有占据态的幺正变换不变性，单粒子态由SIC-LSD近似下的总能量极小决定。

The main contents are as follows.1 For the state control problem in closed quantum systems, according to the distance between states, the error between states and the average value of an imaginary mechanical quantity, three Lyapunov functions are chosen, respectively. The corresponding control law designs and the convergence analyses are studied. Especially, for the Lyapunov function based on the distance between states, a class of control laws that can solve the problem that an initial state is orthogonal to a goal state is designed. The convergence of the system is analyzed via LaSalle\'s principle and one method to find the largest invariant set of the closed loop system is proposed by linearizing the unitary evolution operator at the corresponding instants.

在这一背景下，本论文在指出研究量子系统控制的必要性、回顾量子系统控制理论和方法的研究现状的基础上，从控制理论的角度研究Lyapunov理论和最优控制理论对于封闭量子系统的应用以及开放系统中的若干问题，主要内容包含以下几个方面。1针对封闭量子系统中的状态控制问题，根据状态间的距离、状态间的偏差、一个虚拟力学量的均值，分别选择三种Lyapunov函数进行相应的控制律设计和收敛性分析。

First, we take the analysis of phase-plane on the invariant plane for the perturbed and unperturbed systems.

在第一章绪论中，我们简要介绍了近可积系统的相关内容，给出了具五次和导数项的非线性Schrodinger方程的物理背景，数值实验结果，研究状况以及本文所讨论的基本内容。

Numerical reasults show that the LO contribution is affected strongly by the unphysical scale, but when the NLO contribution is included this undesirable situation is not only imporved obviously but also the value is coslstent to the exprimental data with a theoritcal error about 20% in the two-jet system invariant mass range, M〓∈(10, 45)GeV.

计算表明，LO结果显示了强烈的标度依赖性，然而当计人NLO修正量之后，这种不期望的情况显明地得到了改善。

The multi-filter technique for recogn ition of three-dimensional targets is proposed in this paper,which is based upo n the principle of distortion-invariant correlation recognition.

本文基于三维空间目标不变性识别的原理，采用多滤波器并行处理和综合判断的光学相关检测技术，对三维空间目标进行识别。

The result indicates that the algorithm about the invariant moment for the vector graphics is feasible.

实验结果表明这种通过不变矩来度量矢量图形的相似性的方法是行之有效的。

Based on the decomposition theorem for vector space with module structure and rational canonical form of matrix, a kind of new block diagonal controllably canonical forms are inferred when the time invariant linear multivariable system is completely controllable, which the system matrix is similar to a block diagonal and has an analogy with its rational canonical form. Compare with current controllability canonical forms, this kind is easier to analyse the system constructional characteristic. The process of proof gives an effective solution method.

基于向量空间的模结构分解和矩阵的有理标准形给出了定常多输入线性系统一类新的块对角可控规范型，其中的系统矩阵相似与一个块对角矩阵，该块对角矩阵类似于矩阵的有理标准形，与现在有的可控规范型比较，更容易反映系统的结构特征，证明步骤给出了求解方法。

This paper proposes a weighted codebook vector representation and an action graph model for view-invariant human action recognition.

针对视角无关的动作识别，提出加权字典向量描述方法和动作图识别模型。

As for the case n = 3; we also characterize the totallyumbilical spheres and the Veronese surface by a pinching condition for the case n≧4: Analogous to the case n = 3; we then introduce a conformal invariant quantity, and

我们同样考虑n维单位球面中的威尔摩曲面，并藉著某些夹挤的条件对全脐球面与Veronese曲面进行分类。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。