查询词典 birational invariant

The local gauge group is infinite dimensional and not lo-cally compact,hence the existence of an invariant measure deserves careful study.

局域规范群是无限维和非局部紧致的，因此其上不变测度的存在性值得仔细研究。

Then time-dependent invariant is introduced and a kind of method to solve the Schrodinger equation explicitly called Gauge transformation method.

稍后引入含时不变量的定义，以及精确求解薛定谔方程的含时规范变换方法，再次讨论了Aharonov-Bohm效应，Berry相位和绝热近似。

It is found that the R-matrix only permits anAbelian 〓continuous gauge transformation and the energy spectrum isgange invariant whereas the eigenvectors and eigenvalues of transfer matrix as wellas the Bethe ansatz equations are explicitly gauge dependent.

我们发现所得量子R-矩阵不具有〓离散对称性，这种对称性可被认为对模型的R-矩阵及Lax算符施加了一种附加约束，一旦去掉这种对称性，我们就可以得到对含有化学势一维Hubbard模型一种自然描述的量子R-矩阵。

In Chapter 2, the basic knowledge of higher—order spectra is introduced. The relationship of higher—order cumulants and higher—order spectra between input and output of a linear—time—invariant system driven by a non—Gaussian process is analyzed.

本论文的目的在于，以高阶统计量作为信号处理的工具，研究非最小相位随机信号建模以及噪声中的谐波恢复问题。

A relativistic transformation of generalized coordinates is discussed and it is found that the first law of thermodynamics and the equation of state of an ideal gas are invariant with respect to the relativistic transformation of generalized coordinates , so that the existence of relativistic transformation of generalized coordinates is reasonable.

讨论了一个涉及热力学的广义坐标的相对论变换，发现热力学第一定律和理想气体状态方程对广义坐标的相对论变换具有不变性，表明广义坐标的相对论变换有其存在的理由

This quantity can be generalized to an invariant "distance" between points in

如果你坚持要贴在这里，请把贵文里的讨论，浓缩成一两句话，同时请移除非相关的题外言语。

We show that the all_pass part is the inverse of a generalized interactor matrix which corresponds to the unstable invariant zeros of the system.

本文的结果表明全域通因子是系统的广义内作用矩阵的逆矩阵。

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。

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。