结构函数

Software Description: XICalc is an integer calculator program with the following features: multiple precision integers with millions of digits; uses Hartley Transform to speed-up long multiplies; separate input and outputnotation, base 2 to base 36; greatest common divisor function; Modulo arithmetic options; Bernoullinumbers, Euler Numbers; Boolean functions; random number generator; prime factor algorithm using theElliptic Curve Method; number theoretic functions phi, sigma and tau; prime testing and searching using the Adleman function; algebraic notation; if-then-else statement; go-to statement; can run XICalc code from files; hot help from F1 key; and it抯 written in Microsoft Visual C#.

XICalc 是一款带有如下功能的综合性计算器软件：带有百万数位的多精度整数；使用 Hartley Transform 加速长整型多样化计算；以2到36为基数分隔输入和输出符号；最大公约数函数；模数算法选项；Bernoulli 数字；Euler 数字；布尔函数；随机数字生成器；使用圆周曲线算法的主要因素运算法则；π，τ，Σ的数字理论函数；使用 Adleman 函数的最初测试和搜索功能；代数符号；if-then-else 语法结构声明；go-to 语法结构声明；来自于文件的XICalc 代码；F1键的热点帮助；并且该软件是采用适用于 Windows 操作系统的微软 Visual C#。

Then, this paper brings forward a function of city transportation efficiency on the base of mode configuration by researching the final goal of optimizing traffic structure. It also take some restrict conditions into account in the course of optimizing traffic structure, for instance, occupying land area, environment, energy source, attainability etc. Sequentially, this paper sets up a lineal planning model of optimizing traffic structure of big city passenger transport. It takes ZhengZhou for an example to explain how to resolve the model.

接着，文中通过研究交通结构优化追求的最终目标，提出了基于方式结构的城市交通运输效率函数，并以其为目标函数，结合城市居民的出行需求、交通环境容量、道路资源、交通可达性、交通能耗、各交通方式的发展规模等约束条件，建立了大城市客运交通结构优化的线性数学规划模型，以郑州市2010年的交通结构优化为实例，说明了模型参数的标定和求解方法。

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。

The paper includes:The author calculate the structures inner force and displacement of the free end , analyze the influence of the height and the value of pretress of cable by making use of ANSYS 9.0 soft, pose the concept of critical prestress,conclude the function relation between displacement of the free end, initial strain and the height of cable ,analyze the dynamic properity and point out that Newmark-β method should be adopted when we analyze the dynamic properity of the cable-stayed spatial structure with direct integral test to guarantee the contribution of high mode,finally conclude the functional relation among coefficient of earthquake inner force, initial strain and the height of cable, wish to get some helpful conclusion applied to cable-stayed spatial truss design.

本文系统介绍了斜拉空间桁架竖向地震反应的分析理论与方法、详细分析了斜拉空间桁架结构在静力和竖向地震作用下的受力性能，主要内容包括：利用通用有限元软件ANSYS9.0计算了斜拉空间桁架在静力和竖向地震作用下内力及自由端位移分布规律并得出地震内力系数与节间位置、预应力以及斜拉索高度之间的函数关系；详细分析了斜拉索中施加的预应力以及斜拉索高度的变化对于该种结构内力及自由端位移的影响并提出了斜拉空间桁架的临界预应变概念，进而得到了自由端位移与初始预应变以及斜拉索高度的函数关系，即：△=-(40h+2180)ε+9.8；分析了该种结构的动力性能，并指出：在时域内采用直接积分法计算该种结构的动力响应时，应该考虑采用不引起振幅率减小的Newmark-β法，以保证高阶模态响应的贡献仍然保留在响应中而不致于被忽略。

At first, the examples are given to explain a new method in signal processing, in which functions are defined from the viewpoint of multi-scale analysis. Then the authors present "coordinate heft separate" method, discover self-similar structure of points set on plain area; based on this self-similar structure, construct orthogonal complete 2-value function system of high-dimension simplicity; enrich and extend the theory and application of Rademacher function and Walsh function.

首先，举例说明在多尺度分析观点下，信号处理中某些函数定义的新方法；进而提出"坐标分量分离方法"，并由此发现了平面区域上点集坐标数值的自相似结构；在揭示了如此自相似结构的基础上，构造了高维单纯形上的正交完备的二值函数系统；丰富与推广了Rademacher函数及Walsh函数的理论及应用。

The main theorem of this paper is to, firstly, on the grounds of experience preliminarily estimate the parameter of the pavement nonlinear model, simulate the process with computer procedure, and check the result with the data collected in sit, then set the aim function and the superiority back-calculation method, if the function is not satisfied, it is to the method adjust the parameter and make the model impend the actuality, If the function is satisfied, it is to end the process, and record the stress, deformation, displacement and the parameter as the actual condition.

本文分析的主要原理：首先根据经验，初估路面结构层应力应变非线性参数，利用计算机程序模拟承载板试验测回弹弯沉的过程，通过现场实测的弯沉数据来检核该模拟过程的真实性，设定目标函数，选定适当的优化反算方法，当目标函数不满足时，即利用该优化反算方法调整本构模型参数，使得模型能够逐步向真实解逼近，当目标函数得到满足时，则认为此时反算得到的路面结构层的应力、应变、位移场为真实的应力、应变、位移场，所推算得到的非线性应力应变模型为真实的路面结构层应力应变模型。

By iteratively combining these two procedures we achieve a way of training the configuration of RBFNN. In addition, the algorithm is very robust with respect to the noise level. Simulation experiments show that the proposed algorithms are sound. In chapter 3, which is the extension of chapter 2, the improvements of the architectures of RBFNNs and the solutions of their relating problems are discussed, Firstly, an new distance metric is advanced and a forward orthogonal least square selection procedure is applied to learning the parameters of classification function and selecting the important input nodes.

首先分析了目前存在的同时确定RBFNN结构和参数的方法的缺陷，在此基础上提出了用基于拉马克的进化学说的进化编程算法来改进算法，以克服某些缺陷；然后针对受到严重噪声污染的系统，如何提高RBFNN的泛化能力的问题，利用基于AIC的适应度函数的改进遗传算法学习结构和参数；最后介绍基于MDL原理的方法，将优化网络的结构和参数分为两个阶段：训练和进化，先自适应地改变RBFNN基函数的中心和宽度，同时训练输出线性权值，再用基于MDL原理的适应度函数的标准GA来优化隐层节点，通过交替使用这两过程达到训练RBFNN的结构和参数的目的，该算法具有较强的鲁棒性。

Around the finite solution problem of fuzzy differential equation, the fuzzy structure element method is put forward about the calculation of fuzzy analysis, and this method is applied to systematically study many problems such as formulation of fuzzy-valued function, difference of fuzzy-valued function, integration of fuzzy-valued function under the Riemann meaning, and the solution structure of fuzzy differential equation etc..

围绕模糊微分方程定解问题，提出了模糊分析计算的模糊结构元方法，并利用模糊结构元的方法对模糊值函数的表述问题、模糊值函数的微分、黎曼意义下的模糊值函数积分以及模糊微分方程的解的结构等问题，进行了深入系统的研究。

The cost functions of the linear transversal and decision-feedback blind equalizers are proposed in this thesis, which are strictly convex function with respect to the complex tap-weight vector of the equalizer and the error probability. It is proved that their global convergence are guaranteed by using gradient algorithm.

本文提出了线性横向结构的盲均衡价值函数，DF结构的盲均衡价值函数，证明了这两种价值函数对均横器抽头矢量和系统误差概率，都是严格U函数；并且证明了用梯度算法，这两种价值函数保证收敛到全局极小点。

Tangent sine function with the function, structure and the cosine function linear structure, The results showed tangent curve smoothing function fitting, bending loss smaller, more optimization of the optical path.

正切函数与正弦函数、余弦函数结构以及直线结构进行比较，结果表明正切函数拟合曲线平滑，弯曲损耗较小，更优化了光路径。

I am sure after a few weeks of adaptation and familiarization I will have no difficulty in functioning on a daily basis in an English speaking society or in participating fully in graduate studies.

在大学的三年的学习生活不仅给予我自身的充实，更重要的是磨练和培养了我较强的自觉能力和严谨，踏实的作风以及不怕困难的精神，对未来充满了信心！

As the first volcanoes erupted, one of the gases that bellowed out was steam.

在第一批火山喷发时，喷出的气体之一就是水蒸汽。