函数

Based on these phenomena,mathematical models of four effect parameters were built. According to the variables separation method,the method of weighted function was brought forward and used in decomposing the multidimensional function.

在建立效应参量模型时，参照分离变量法，提出使用加权函数的方法把多维函数分解成多个1维函数相乘，基本解决了利用有限实验数据建立数学模型的问题。

For the first patern, elastic dynamics is adopted to study the steady state rolling contact, elastic dynamics incorporating with rigid dynamics is adopted to study the non-steady state. For the steady state, the analytical solution is obtained, and for the non-steady state, the variational formulation to solve the problem numerically is derived For the later patern, the function type friction coefficient is introduced. On the basis of the quasi-stastic theories of constant friction coefficients, both the exact theory and the simplified theory of the function type friction coefficient are established, the computer programms for both the theories are also made out. Using the function type friction coefficient, Shen-Hedrick-Elkins theory's application range is extended to large creepage .

对于速度对接触体力学特性的影响，本文采用弹性动力学方法和弹性动力学与刚体动力学相结合的方法分别对稳态和非稳态两种情况进行了研究，得到了稳态情况的解析解，给出了对非稳态情况进行数值求解的变分公式；对于速度对相关物理量的影响，本文主要讨论了速度对摩擦系数的影响，在滚动接触准静态理论的基础上引进了函数型摩擦系数，建立了函数型摩擦系数的滚动接触准静态精确理论和简化理论，并分别编制了相关的计算程序，还用函数型摩擦系数将简便的Shen-Hedrick-Elkins理论的适用范围扩展到大蠕滑区。

So, in this paper, a circular cavity witha large radius is used to replace the straight boundary of thehalf space, then the half space problem can be changed tothe scattering problem of two circular cavities to the steadyincident P-wave . Having the aid of the mature cylinderfunction theory, the general solutions of the wave functionscan be given, and an infinite linear algebraic equations ofthe unknown coefficients in the wave functions can be gottenwith the boundary conditions and the Fourier complex seriesexpansion technology, the infinite linear algebraic equationscan be approximately solved by the finite trunction withsatisfying some definite precision, at the basis of thissolution of the equation, the variations and the lay-outs ofthe DSCF at the circular cavity boundary vs. the differentincident angles, the different embedded depths of thecircular cavity as well as the different dimensionless wavenumber of the incident P-wave.

为此，本文采用一个半径很大的圆孔来代替半空间的直边界，将该半空间问题转化为一无限大空间中两个圆孔对稳态P波的共同散射问题，借助于成熟的柱函数理论，通过写出问题波函数的一般形式解，利用问题的边界条件，并采用复数傅立叶级数展开技术将其化为一个仅包含问题波函数中未知系数的一无穷线性代数方程组，在满足一定计算精度的前提下，通过有限项截断进行近似求解，进而讨论了圆孔边界处的动应力集中系数随不同入射角、不同的圆孔掩埋深度、入射波的不同无量纲波数以及介质的泊松比变化和分布情况。

Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微

Moreover, the proposed VIGA was applied to optimize two typical testing functions with multimodal and multivariate. From the comparison of different optimized solutions by conventional GA, simulated annealing algorithm with the analytical for the testing functions, the feasibility and validity of the VIGA was verified.

以2个典型测试函数为例，分别进行了多峰值、多变量测试函数寻优测试，通过将VIGA寻优结果与测试函数解析解、传统遗传算法(genetic algorithm，GA)以及模拟退火优化(simulated annealing algorithm，SA)策略所得优化结果进行对比分析，VIGA的可行性和有效性得到证实。

First, everyone's weightiness of the welfare in the social welfare function is the same.

依照功利主义的社会福利函数，本文认为城乡基础设施的均等化要遵循如下两条：其一，均等地看待每一个人的福利函数，即在社会福利函数中，赋予每一个人均等的权重，这是功利主义的基本观点。

From the graph, we can know that the graph of y=kx+b, is crossing the point of (0,b), and is parallel with the line of y=kx. And in the point of (0,b), o is x and b is y . In this situation, zero can be the divisor. It can be the scientific gist.

从正比例函数和一次函数的图象可知，一次函数y=kx+b在坐标平面上的函数图象是经过(0，b)且平行于正比例函数y=kx的一条直线，这其中的点(0，b)，0表示x，b表示y，在这样的情况下就成了零作除数的情景，这可说是零能作除数的科学依据。

In order to enhance the Hash functionperformance, this article structure one kindbased on the AES HASH function, this HASH function has dispersed arow result the length is 256 bits, may the very good defenseexhaustion attack.

为了提高Hash函数性能，本文构造了一种基于AES的hash函数，该哈希函数散列结果的长度为256比特，可以很好的防御穷举攻击。

In this paper, first we define a kind of transformation on the sequences of Boolean functions, and then analyze the changes of nonlinearity, algebraic degree and balancedness of Boolean functions under the transformation.

本文首先定义了对布尔函数的序列的一种变换，并分析了进行此种变换后布尔函数的非线性度、代数次数与平衡性的变化情况，最终在此基础上提出一种新的递归构造方法，可以构造出非线性度很高的n元m阶n-m-1次弹性函数。

We defined two arithmetical functions and got mean value properties of the two functions by using elementary and analytic methods; we also studied the mean value property of Smarandache ceil function S_kn!

定义了两个新的算术函数，利用初等和解析方法研究了这两个函数的均值性质；研究了Smarandache ceil函数S_kn！

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。