元函数

When we use boundary element method to solve problems of fluid structure interaction, large amount of calculation of Green's function and its partial derivative is required.

Green函数及其偏导数的数值计算在水动力学中起着重要作用，当用边界元法求解流体结构相互作用问题时，需要大量的计算Green函数及其偏导数。

The elasticity point-force solutions for perfectly bonded elastic halfspaces in literatures are further studied. The compact formulae of displacements and stresses are given, which can be used as Green function in the boundary element method.

对已有的关于双相材料组成空间的弹性力学基本解作了进一步整理，给出了问题的位移场和应力场的显式表达式，此解答可作为Green函数在边界元法中进行使用，从而为使用边界元法研究双相材料中的力学问题奠定了基础。

This article discusses fix quantity connection between quaternion non-linearity continuous function △ERR_ and △ERR_ in the reference literature~([1]),and its decisive effect on distributing evolvement disperse drop field in the error ratio function ERR_(100nm%)λ_(centreT,n,thus paves the way for the function degree of redundancy of Pipelined-Flash A/D.

本文讨论参考文献[1]中两类四元非线性连续函数△ERRdn与△ERRdj之间的定量关系，对误差比率函数ERR100nm%离散点域分布演变所起的决定性作用。

And each symmetric function can be written into a linear combination of homogeneous symmetric functions.

这样，就可以把一个n元对称布尔函数转化为一个n+1维向量v_f =v_f (0， v_f (1)，…， v_f，其中v_f表示重量为i的函数值， 0≤i≤n，此向量v_f称为对称函数f的向量值，极大地减少了对存储空间的需求，并且在软件应用中发挥着重要作用。

Multiple antenna arrays are often used to overcome the effect of channel fading which is caused by multipath interference. In chapters 4 and 5 ,we derive spatial correlation equations of ULA ,UCA and CRA for two types of angular spread distributions (uniform distribution and truncated Gaussian distribution).We also compare the difference between these antenna arrays by showing the bit error rate simulation results and discuss the relationship between BER and spatial correlation. In a multi-user mobile radio environment , we present simulation results to show that adaptive MBER algorithms have better performance than the traditional MMSE algorithm.

多天线阵列常被用来克服多重路径干扰导致通道衰减的影响，我们对各种天线阵列架构进行比较，在第四、五章中推导出ULA、UCA与CRA个别对两种角度扩散机率密度分布的空间相关性函数，由实际实验模拟的位元错误率图形比较天线阵列间的差异，并讨论位元错误率与空间相关性之关连，在多用户端行动通讯环境下，我们也由模拟验证可适性MBER演算法，会比传统MMSE准则有更好的效果。

In theory, firstly, the numerical simulation methods, such as the boundary element method, the finite difference method and the finite element method, were utilized to calculate the distribution of electric field intensity and potential of the electron-gun system, the focusing system and the whole equipment, respectively. Then, the trajectories of the electron-beam were traced by using of the Runge-Kutta method and the Monte-Carlo method associatively. The point spread function was also calculated.

在理论分析中，先后采用边界元方法、差分方法、有限元方法等科学数值计算方法，编制程序，对X射线源的电子枪发射系统、聚焦系统以及发射系统与聚焦系统的组合系统等的电场分布进行了严格的计算，在准确求得各系统电场内各个剖分点的电场场强、偏导数等参量的基础上，采用蒙特-卡罗模拟方法和不等距龙格-库塔方法相结合，追踪由LaB_6单晶阴极表面发射出的大量电子束在电场内的运动轨迹，求出点扩展函数，并根据点扩展函数的优劣，反复调节、大量计算对比，挑选出X射线源最佳的电极结构及其组合。

A plasma electron density profile in the HT-6M tokamak is obtained when an asymmetric Abel-inversion which depends on plasma shifts is applied to the signals of multichord interferometric measurement.

一种常用的非对称Abel变换是分离变量法，它的基本思想是把测量信号分成对称元和非对称的权函数，对称部分采用标准的Abel变换，变换的结果乘上非对称的权函数。

Maitra and Sarkar provided a recursive construction method to construct m-resilient Boolean functions of n variables with high nonlinearity and al...

Maitra和Sarkar于1999年提出了一种递归构造方法，构造出一类非线性度很高的n元m阶n-m-1次的弹性函数，但是此方法所能构造的弹性函数的数量有限。

A parametric surface was reconstructed at a local area of each sample point, and a believing neighbor area was generated based on a given error. A new parametric surface was recomputed, and a larger believing area was generated. The surfel with largest believing area was reconstructed, and the original model was approximated by the surfel in an as large as possible local area.

该算法在每个采样点附近重建一个函数曲面，根据给定误差得到置信邻域，重新计算函数曲面，得到更大的置信邻域，如此反复迭代，产生一个具有最大置信邻域，并在更大范围内逼近原模型的面元。

The linear boundary element method make boundary element into linear segment from linear interpolating function.

线性边界元法是在常数边界元法的基础上，从线性插值函数出发将边界单元按线性分布来进行处理的一种数值方法。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。