查询词典 algebraic function

Boolean function; algebraic degree; correlation immunity; resilient; nonlinearity; balancedness

论文导师戚文峰，论文学位硕士，论文专业密码学

Within the round function, the logistic chaotic map and three algebraic group operations are mixed.

在轮函数巾用Logistic混沌映射和3个代数群算子进行混合运算，此外还特别设计了子密钥生成算法。

Within the round function, the logistic chaotic map and three algebraic group operations are mixed. Moreover, the subkeys schedule is specially designed for the consideration of the security.

在轮函数中用Logistic混沌映射和3个代数群算子进行混合运算，此外还特别设计了子密钥生成算法。

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

That is by introducing the switch function, the linear dynamical part is separated by a simple algebraic operation, then a new linear model can be achieved.

即通过引入开关函数，将线性动态部分分离处理，辨识得到新的线性模型。

The matching function determined by this method has an algebraic structure and is in closed form.

这样定义的匹配函数具有优美的代数结构，所得到的解是闭形式的。

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit about all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法，建立了通风网络解算优化模型，并用梯度法对该模型进行解算，获得了一种新的风网解算算法。

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit shoot all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法，建立了通风网络解算优化模型，并用梯度法对该模型进行解算，获得了一种新的风网解算算法。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。