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For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

Test results using polarimetric SAR data of San Francisco show that images filtered by this method have mean values closer to the unfiltered images than with a subspace based filter. After the filtering process, targets with different scattering characteristics are more separable in the characteristic space; therefore, this filter improves terrain classification.

实验结果表明：利用旧金山地区的真实极化SAR数据，使用该方法滤波的图像结果与原有的子空间滤波器相比，更接近原始图像的均值，并且通过滤波提高了不同类别的目标在特征空间的区分度，从而有利于不同类型地物的分类。

And then obtained under some conditions of probability are some sufficient conditions for moment complete convergence for independent non-identically distributed random elements in a separable Banach space which are stochastically bounded by a positive random variable.

文章在随机元序列随机有界于某非负随机变量的条件下，引入慢变化函数l和选定的函数类S，在一定的概率性条件下，得到B值独立不同分布随机元序列矩完全收敛性的充分条件，推广了有关文献的结果。

The production research and development building has 4(4-5) the workshop composition,specialized separable may gather,the space may on be possible,the scale to be possible to be possible to be small greatly.

可分弹性空间，尺度自由把握生产研发楼有4幢（4-5层）厂房组成，专业可分可合，空间可上可下，规模可大可小。

In chapter Ⅳ, we study forward-backward stochastic differential equations with jumps and with bounded stopping time terminal, which take values in separable Hilbert space, and are drived by cylindrical Brownian motion and Poisson point process.

第四章，研究了取值Hilbert空间的带跳正-倒向随机微分方程，其部分系数不满足李普西茨条件，并且终端时间为有界停时。

Using operator-theoretic-methods, we give some characterizations for a dual generalized frame of a generalized frame in a separable Hilbert space H. We also prove a result concerning two strongly disjiont generalized frames.

本文研究了可分的Hilbert空间H中的广义框架，运用算子理论方法，研究了可分的Hilbert空间H中广义框架的性质，给出了广义框架的对偶广义框架的一些刻画，并且证明了两个广义框架是强非交的一个充分必要条件。

If let H be a complex separable Hilbert space ,dimH ≥ 3, we prove that every approximately 2- local automorphism of P B_s(H,E is an automorphism. Every real linear approximately local automorphism of B_s is an automorphism.

另外本章还证明了对于可分的Hilbert空间H，当dimH≥3时，P，B_s和E的近似2—局部自同构是自同构，B_s的实线性近似局部自同构是自同构。

In the mathematically rigorous formulation of quantum mechanics, developed by Paul Dirac and John von Neumann, the possible states of a quantum mechanical system are represented by unit vectors (called "state vectors") residing in a complex separable Hilbert space (variously called the "state space" or the "associated Hilbert space" of the system).

在保罗·迪拉克和约翰·万·诺埃曼创立的严谨的量子力学数学公式里，用停留在一复杂可分的希耳伯特空间(很多地方称作"状态矢量空间"或与系统有关的希耳伯特空间)单位向量来描绘量子力学系统的可能状态。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

One solution to this problem is to require that the stochastic process be separable .

一个解决这个问题的办法是要求随机过程是分开的。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失