有界函数

Bounded one-way function is a new cryptographic primitive proposed for the foundation of practical cryptography.

有界单向函数是一个新的密码学概念。有界单向函数是为了研究设计更为灵活、更实用的密码系统的基础而提出的。

We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.

首先，我们证明了只有零算子是紧的对偶Toeplitz算子，同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。

Riemann integral can not be used in every limited function to get its definite integral.

因此，并不是每一个牛顿不定积分都可进行黎曼积分，并不是每个黎曼积分都存在牛顿不定积分，黎曼积分也并不能对每一个有界函数求定积分。

At last the results have been applied to the tracking problem of a class of mechanical systems with discontinuous friction term. Chapter 3 mainly deals with uniformly ultimate boundedness of a class of nonautonomous systems with discontinuous right-hand sides and corresponding perturbed systems (in the sense of Filippov solutions). The definitions of globally uniformly strongly ultimate boundedness and globally uniformly weakly ultimate boundedness of discontinuous systems and the definition of globally equiuniformly strongly ultimate boundedness of corresponding perturbed systems are presented firstly.

首次给出不连续系统全局强一致最终有界、全局弱一致最终有界的定义，以及针对于扰动系统的全局强等度一致最终有界性的定义，并基于非光滑的Lyapunov函数得到了不连续系统全局一致强、弱最终有界的Lyapunov定理和扰动系统全局强等度一致最终有界性的Lyapunov定理。

The rate of convergence of pointwise approximation for local bounded functions are obtained.

引入一种积分型的 Szász- Bézier算子，并研究其逼近性质，得到了此类算子对局部有界函数的逼近阶估计公

In Section four, Karsli introduces a new kind of Gamma operators and obtains an estimate of the rate of pointwise convergence of these new kind Gamma operators for functions with derivatives of boundde variation.

本论文将利用概率的方法和一些已有的不等式考虑新Gamma型算子对局部有界函数点态逼近速度的估计。

We first introduce the positive real spectrum function and bounded spectrum function then establish the parametrization of the power spectrum by the Levinson polynomials associated with the autocorrelation matrix of the output and bounded spectrum function.

首先引入正实谱函数的和有界谱函数的概念，利用正实函数和有界实函数理论，通过和过程自相关矩阵相关联的Levinson多项式和有界谱函数，建立了功率谱参数化的表达式。

One function is symmetric, the other is anti-symmetric.

最后，利用这类小波重构L~2中的有界函数。2。

Since the commutators of both sing-ular integral operators and fractional integral operator with BMO functions areone of the special cases of〓,so the discussion of the boundedness of〓notonly gives a new proof of the boundedness of the two commutators,but al-soweakens some of restrictions into discuss the problem,thus it impro-vessome of results inwith the method of complex analysis,show-ed boundedness of〓,then directly obtained boundedness of the commutato-rs of fractional integral operator with BMO functions.

既然奇异积分算子和分数次积分算子与BMO函数的交换子是其特殊情形，所以〓的有界性的讨论不仅给出了中关于这两类交换子有界性的一个新的证明，而且减弱了中讨论这一问题时对齐型空间所作的限制，从而改进了中的结果（利用复分析的方法，先证明〓的有界性，从而直接得到分数次积分算子与BMO函数的交换子〓的有界性。

In chapter 3 by using probabilistic methods and analysis methods we study pointwise approximation for bounded functions by Baskakov operators.

在这章中主要运用新的方法和概率论工具，结合分析技术，研究了Baskakov算子对一般有界函数的点态逼近问题。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。