查询词典 spectral theorem

The process of our study links some of the most basic questions about C〓 with beautiful classical results from analyticfunction theory. For instance, it is essential Littlewood subordination theorem that assures that composition operators act boundedly on many analytic function spaces. And there are close connections between the compactness of C〓 and the existence of angular derivatives of ψ at points of 〓D. It involves the classical Julia-Careatheodory theorem, Denjoy-Wolff theorem and Nevanlinna counting functions and so on. It makes many old theorems in analytic-function theory getting some new meanings, and bestows upon functional analysis an interesting class of linear operators. This thesis consists of six chapters as follows: Chapter 1 is a preparatory in nature.

从而建立了C〓的算子性质与解析函数论中许多漂亮的经典结果之间的联系，如许多解析函数空间上复合算子的有界性本质上往往是著名的Littlewood从属原理，复合算子的紧性与其诱导映射在边界〓D上的角导数之间有着紧密的联系等等，这样自然而然地涉及到经典函数论中的Julia-Caratheodory定理，Denjoy-Wolff定理及Nevanlinna计数函数等等一些结果，并以此赋予函数论中许多古老问题以新意，同时也为泛函分析提供了一类十分具体的线性算子。

Introduced in the third chapter with 区间套 theprinciple, the true principle, the fluxionary calculus proved threemethods have carried on the proof to a zero theorem; Then introduces azero theorem the promotion; Finally introduced the zero theorem twoapplications.

在第三章中介绍了用区间套原理、确界原理、微积分证明三种方法对零点定理进行了证明；接着介绍零点定理的推广；最后介绍了零点定理的两个应用。

Also: the renewal theorem, conditional probability and expectation, regular conditional distributions, stationary sequences aud the bergodic theorem, martingales, and the optimal stopping theorem.

更新理论，条件概率和期望，规则的条件分布，平稳序列和 bergodic 定理，鞅，最优停步理论。泊松过程，布朗运动，强马尔可夫性和不变原则。

Extract information based on the instantaneous features : In the center is one of the instantaneous rate of the power spectral density of the maximum, is a center to the absolute value of the instantaneous rate of the standard deviation, Non-zero weak signal instantaneous phase of the nonlinear component absolute standard deviation, Non-zero weak signal instantaneous phase of the nonlinear component standard deviation, In the center is one of the non-weak signal of the absolute value of the instantaneous frequency standard deviation, a signal to one of the instantaneous frequency of the power spectral density of the maximum, According to 16QAM and QPSK signals XI axis projection in the different performance parameters raised.

提取信号七个基于瞬时信息的特征：零中心归一化瞬时幅度功率谱密度的最大值，零中心归一化瞬时幅度绝对值的标准偏差，零中心非弱信号段瞬时相位非线性分量绝对值标准偏差，零中心非弱信号段瞬时相位非线性分量标准偏差，零中心归一化的非弱信号段瞬时频率绝对值的标准偏差，一个信号段的归一化瞬时频率功率谱密度的最大值，根据信号 QPSK 和16QAM在 XI 轴投影的不同表现，提出特征参数。

The effects of electron energy on spectral reflectanc e and solar absorptance are analyzed.The results are discussed relative to the change in spectral reflectance in the near infrared wavelength region.

分析了电子能量对光谱反射系数和太阳光谱吸收系数的影响，并对红外区光谱反射系数的变化结果进行了讨论。

The program is used for a variety of mixtures of substances absorption spectral data analysis, curve fitting, and by their spectral location of each peak.

详细说明：该程序用来对多种物质混合物吸收光谱数据进行分析，拟合出光谱曲线并且得到其各个峰值位置所在。

Spectrum control technology and its application researchBasic theory of smoothing by spectral dispersion in high-power laser system was studied. Periodical frequency modulation was obtained by chirped pulse stacking, and novel special gratings were proposed here to obtain angular spectral dispersion and temporal smoothing of focal spot.

并在国际上首次成功地应用于激光聚变高功率激光系统中。3、激光脉冲光谱控制技术及应用研究研究了高功率激光光谱色散平滑的基本理论，提出利用堆积啁啾脉冲的周期性光谱调制特性和新颖特殊光栅实现光谱角色散和激光束远场焦斑的时间平滑。

This result shows the sample has the spectral response in terahertz spectral range and the fact demonstrates the terahertz spectra of asparagine could be used to study the molecular structure and vibration of sample.

用太赫兹时域光谱技术研究了室温条件下的多晶天冬酰胺样品的光谱特征，得到了相应的吸收谱和折射率。

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

This paper to introduce a new experimental method of dispersion phenomena, in this experimental method, it can be directly observed by different substances uneven medium, the dispersion arising from the various phenomena of the material in different light source through uneven medium, the emergence of two different spectral dispersion surface, spectral noodles Bright (Bright-Line Spectrum), and dark lines is how it is formed and a series of important experimental phenomena.

本文要介绍一种新的色散现象出现实验方法，在这种实验方法上，可直接观察到不同物质通过不均介质后，所出现的各种不同色散现象，物质在不同光源照射下通过不均介质后，出现的两种不同色散谱面，谱面中明线和暗线是怎样产生等一系列重要实验现象。

Finally it offers the analysis of the fault-tolerance system as well as its test verification.

这样，运行于空间环境中的系统的设计目标就是在保证系统实时性

However, it is still difficult to find out the real reason of the increase of the keratinized gingiva during the orthodontic extrusion whether it is due to the proliferation of the gingival tissue or to its elastic nature, that is because the proliferation of the fibroblasts as well as the connective tissue changes in volume and the intra-fibers spaces were all immeasurable in most of the studies.

然而，仍然难以找到真正的原因增加的角化牙龈在正畸挤压它是否是由于扩散的牙龈组织或其弹性性质，这是因为增殖的成纤维细胞以及作为结缔组织的变化量和内部纤维空格都是不可估量的，大多数的研究。