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Chapter 4 presents five design criteria of S-boxes of block ciphers, develops a method of constructing large S-box by use of algebraic group operation, proves the balance property of these large S-box, tests the strict avalanche and independence of avalanche variables properties of S-boxes in NEA cipher, analyses the nonlinearity and best linear approximation of the S-box, and finally defines the differential of input/output of S-boxes of this cipher and analyses the distribution of them.

第二部分即第三章,提出了一种新的分组密码类NEA(NEA-4A,NEA-8A,NEA-4B,NEA-8B),完整地描述了该密码类的加解密过程和密钥协议;证明了NEA-4B和NEA-8B的完全对合性和没有不动点的性质;分析了该密码类的安全特征;具体地介绍了实现该类密码的途径;给出了NEA-4A的计算机C语言程序和样本数据。

On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用,本文主要做了以下工作:第一,证明了一致B~2概周期函数空间在其特定范数下构成Banach空间,从而可以在此函数空间上应用不动点定理;第二,由一致B~2概周期函数空间的完备性,应用压缩映像原理,讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

Then, introducing the improved straight-line stabilization method to control the chaotic phenomena in the models, a controller is designed to stabilize the biological population in the oribits where the fixed points lie on, thus eliminating the chaotic phenomena in population to keep the population system in persistent existence.

其次采取改进的直线稳定化方法控制模型所存在的混沌现象,设计并求得了使得生物种群稳定到不动点轨道的控制器,最终消除了种群中存在的混沌现象,从而保持了种群系统的持续生存。

In this paper,the existence of multiple positive solutions for a class of fourth-order p-Laplacian operator singular boundary value problems is discussed by using the fixed point index,and some sufficient conditions are given such that the problem has at least two positive solutions.

利用不动点指数理论研究了一类含 p-Laplace算子的四阶奇异边值问题的多重正解的存在性,给出了至少存在两个正解的条件,改进了不久前其他作者的相关研究。

According to that Caristi fixed point theorem is equivalent to Ekeland variational principle, we weaken the condition that the functional is bounded from below in Ekeland variational principle, then we enlarge the area of the applicable functionals.

鉴于Caristi不动点定理和Ekeland变分原理的等价性,我们对Ekeland变分原理中泛函的下方有界的要求作了相应的削弱,从而扩大了适用泛函的范围。

The reference domain is assumed to be a bounded open set of R~N with boundary Γ of class C~2. We investigate in this paper the null controllability for the semilinear parabolic equations in non-cylindrical domains. The fixed point method is used in the proof.

本文讨论了定义在上述非柱形区域中的半线性抛物方程零能控性,我们使用的方法主要是通过同胚映射将非柱形区域中的抛物方程转化为柱形区域中的抛物方程,再利用不动点方法得到半线性抛物方程的有关结果。

" While the initial problem was "skin breakdown related to immobility," a new problem is "potential for skin breakdown related to draining wounds.

一个新的问题/诊断被加入到一个目标上如:目标"皮肤完好"所带的初始问题是"和不动相关的皮肤受损",新的问题是"和伤口引流相关的潜在的皮肤受损"。

This paper firstly introduces the concept of least function dependence set and the minimal fixed point theory, and then analyzes the relation between closure of function dependence set and complete lattice, and puts forward analyzes a concrete solution of least function dependence with use of minimal fixed point theory.

本文尝试采用严密的逻辑方法,利用最小不动点理论去求解最小函数依赖集。1最小函数依赖集(1)函数依赖一个数据依赖是关于关系数据库中关系的属性值之间的相关关系的一个命题,它规定了一个关系数据库的规范所满足的完整性约束条件。

A fixed point of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况,利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性,利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

In this thesis, we firstly introduce several class of discrete-time neural network models and the research progress of the neural networks. By Schauder fixed-point principle we prove the existence of an equilibrium (i.e. a fixed point) of a discrete-time neural network with generalized input-output function and by using the converse theorem of Lyapunov function we study the uniformly asymptotical stability of equilibrium in this discrete-time neural network with variable weight and give some sufficient conditions that guarantee the stability of it.

本文首先介绍了几类离散神经网络模型的由来及其研究概况,利用Schauder不动点原理证明了一类具有广义输入输出函数的离散神经网络模型平衡点的存在性,利用Lyapunov函数逆定理给出了这类离散神经网络模型在时变权值下的一致渐近稳定性的充分条件。

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This paper discusses design and realizable methods of remote test output interface from logical design angle.

本文从逻辑设计的角度讨论遥测输出接口的设计及实现方法。

This also 星体投射plies to buildings, structures and geological features.

这也适用于建筑物和地质特征。

We all hope for a better life.

我们都希望好的生活。