优函数

Up to now, the performance index is almost described as an algebraic function of manipulating variables, it implies the response of performance index to the manipulating variables is instantaneous or the system is in steady state, and the effects of disturbances on the objective function are not taken into consideration.

在以往的工作中，大都把过程的调优变量与目标函数之间的关系用代数方程描述，这意味着目标函数对调优变量的响应是瞬时的，或假定过程处于静态，而且一般也不考虑过程中其它干扰对目标函数的影响，即在算法结构中，调优变量与目标函数构成唯一的因果关系。

In chapter 3,we establish convergence theorem under Ostrowski-Kanorovich condition for Newton-like method by using majorizing method.

第三章：通过运用优函数的方法，建立了Newton类迭代法在Ostrowski-Kantorovich条件的收敛性定理，并给出了相应的误差估计。

In Chapter 3, we study the semilocal convergence for the method appeared in Chapter 2 under Lipschitz continuous condition of the second Frechet derivative, and get the corresponding error estimation by majoriz-ing function technique. And also, an application of the theorem to a non- linear equation is given.

在第三章中，研究了复合型Newton-Steffensen迭代方法在算子的二阶导数满足Lipschitz连续条件时的半局部收敛性，并利用优函数技巧得到了其在该条件下的误差估计，最后给出了这个定理的一个应用。

Secondly, the major function and major sequence are constructed.

第二章的主要结果：构造优函数和优序列。

The method which used to solve optimal value function are given in this paper.

并给出了求解最优函数的方法。

Many texts define a Hermitian operator as the following equation that satisfies for all well-behaved functions f and g.

许多教科书将厄米算符定义为对所有的品优函数f和g满足下式的算符。

They are as following: to establish the selection method of the slaving designed quality functions according to the interrelationship among designed quality functions; to construct the measurement functions of the optimality robustness with the hypersurface characteristics around the current iterative point of designed quality functions.

具体地，根据设计性能函数之间相互关系给出了处于支配地位设计性能函数的选择方法；利用设计性能目标函数在当前迭代点附近的超曲面特征，构造设计性能目标函数的最优性健壮度量函数；按照系统有序化设计模型的最优解应同时具有可行性健壮与最优性健壮的要求，通过计算设计性能目标函数与约束函数对设计变量的波动与非设计参数的波动的一阶敏度来确定系统有序化设计模型中的健壮参数；并以此为基础建立了进一步考虑非设计参数波动对设计变量波动有影响的后健壮分析方法。

Using the concept of Boolean functions and combinatorics theory comprehensively, we investigate the construction on annihilators of Boolean functions and the algebraic immunity of symmetric Boolean functions in cryptography:Firstly, we introduce two methods of constructing the annihilators of Boolean functions, Construction I makes annihilators based on the minor term expression of Boolean function, meanwhile we get a way to judge whether a Boolean function has low degree annihilators by feature matrix. In Construction II, we use the subfunctions to construct annihilators, we also apply Construction II to LILI-128 and Toyocrypt, and the attacking complexity is reduced greatly. We study the algebraic immunitiy of (5,1,3,12) rotation symmetric staturated best functions and a type of constructed functions, then we prove that a new class of functions are invariants of algebraic attacks, and this property is generalized in the end.Secondly, we present a construction on symmetric annihilators of symmetric Boolean functions.

本文主要利用布尔函数的相关概念并结合组合论的相关知识，对密码学中布尔函数的零化子构造问题以及对称布尔函数代数免疫性进行了研究，主要包括以下两方面的内容：首先，给出两种布尔函数零化子的构造方法，构造Ⅰ利用布尔函数的小项表示构造零化子，得到求布尔函数f代数次数≤d的零化子的算法，同时得到通过布尔函数的特征矩阵判断零化子的存在性：构造Ⅱ利用布尔函数退化后的子函数构造零化子，将此构造方法应用于LILI-128，Toyocrypt等流密码体制中，使得攻击的复杂度大大降低；通过研究(5，1，3，12)旋转对称饱和最优函数的代数免疫和一类构造函数的代数免疫，证明了一类函数为代数攻击不变量，并对此性质作了进一步推广。

The concept of twoperiod progressive function is proposed to analyze POA character.

由两时段滑动算法的特点，提出了两阶段寻优函数的概念，导出了POA一致收敛原理。

Through analyzing main factors on the parameter of drainage networks expanse, this thesis ascertains a new parameter form ofdrainage networks expense and regressively analyses each parameter of drainage networks expanse by statistical software SPSS, approving that the new drainage networks expanse is a better parameter compared with other parameters of drainpipe net expense.

本文通过对排水管网费用函数各主要影响因素的分析，推求出新的排水管网费用函数形式，并利用SPSS统计软件对各个排水管网费用函数进行了回归分析，证实新的排水管网费用函数与其它排水管网费用函数相比较为较优函数。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。