不变

In chapter 3, the problems of constructing finite-dimensional functional linear invari-ant spaces under a given differential operator as well as an inverse problem concerning thedescription of all operators possessing a given invariant space are investigated.

第三章中讨论了基于算法产生的两个互逆问题，即(1)构造在已知的微分算子下不变的有限维线性函数空间；(2)讨论拥有相同线性不变空间的微分算子的一般表达式。

As China mainstream banks from lending more than 80% of the interest income poor, so when the loan spreads and lower translation unchanged, the Bank of income is virtually unchanged.

由于中国主流银行的80％以上的收入来源于存贷利息差，因此当存贷款利差不变而上下平移时，银行的收入是几乎不变的。

The equations of electromagnetic field are invariant with respect to the Lorentz transformation and the mechanical equations are invariant with respect to the classical transformation.

电磁场方程对于洛伦兹转换是不变的，而力学方程对于经典转换是不变的。

Pole measuring method based on video, shot can be doubled or multiplied to narrow, and the same graphics, mathematical constant, only the size of different characteristics, Health issued the ancient site is: package days package, the package the universe, may day, capacity, the capacity of the psychic world treasures.

依据立杆测影方法，杆可以成倍增长或成倍缩小，而图形不变、数理不变、唯大小不同的特点，生发出古盘是：包天、包地、包宇宙，容天、容地、容万物的通灵宝物。

In addition, we also give the characteristic of uniformly integrable martingale in the rearrangement invariant martingale space and the relationship between one martingale and the accompanying martingale associated with it which is particular in the rearrangement invariant martingale space under the action of some most important martingale operators such as maximal operator, square operator, the greater operator and the smaller operator.

此外我们还考虑了重排不变鞅空间中的鞅是否一致可积的特征以及极大算子、均方算子和上、下算子在重排不变鞅空间及其相伴鞅空间上作用的特殊性质。

In order to describe the random-like feature of chaotic signal, the statistical analysis method for discrete time chaos system is studied. A domain iterative algorithm for numerical estimation of the invariant probability distribution is presented, which is the foundation for the statistical analysis and processing of chaotic signal.

针对混沌系统的随机性特征，本文研究了离散时间混沌系统的统计分析方法，并给出了一种基于Frobenius-Perron算子的区间迭代算法用于混沌映射不变分布的数值求解，该方法在样本数较少时，仍可以获得不变分布的良好估计，为混沌信号进一步的统计分析和处理奠定了基础。

Invariant manifolds are important for the study of dynamic systems. Since they are hard to he computed h analytical expression, the numerical method for approximating invariant manifold is an important mean.

不变流形在动力学研究的许多方面都有重要意义，由于不变流形很难通过解析表达式求解，对其做近似计算就成为重要的手段。

In this paper, we first show that the matrix2-norm is the only norm which is not only an operator norm but also a unitarily invariantnorm.

在［l，p.94］中曾提到，向量作为矩阵看待，归范化的西不变范数只有2一范数，本文将这一结论推广成，一个矩阵范数如果它既是算子范数又是规范化的西不变

Accept certain inalienable truths: prices will rise; politicians will philander; you too will get old, and when you do you'll fantasize that when you were young prices were reasonable, politicians were noble, and children respected their elders.

接受几个不变的事实，物价会上涨，政客们会胡说八道，你不能免除的也会变老，当你老了，你会缅怀你小时后，物价合理，政客有良心，而孩子会尊敬长辈。

Permanent Magnet Synchronous Motor has the feature of strong nonlinear, coupling and parameter time-varying. The Proportional and integral part of traditional PI controller is fixed and unable to meet high precision requirements of PMSM speed control.

永磁同步电机是具有强非线性、强耦合和参数时变特性的被控对象，传统PI 控制方法作为一种线性控制其比例、积分环节的参数固定不变，不能满足永磁同步电机对高精度的要求。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。