强函数

For both Gram-Schmidt method and adjoint matrix method of MTS, multicollinearity is solved by improving Mahalanobis distance function.

不管是马氏田口的施密特正交化法，还是伴随矩阵法，都是通过改进马氏距离函数来解决强相关问题。

A method for the generation of Weierstrass fractal surface is presented,based on Helmholtz equation,with the Kirchhoff approximation,the calculus formula of light scattered field on the 1-D Weierstrass fractal suface is deduced.

采用Weierstrass分形函数模拟实际粗糙表面，从简谐光波满足的亥姆荷兹方程出发，利用基尔霍夫近似推导出一维Weierstrass分形粗糙表面的光散射场的积分公式，考虑遮蔽效应后数值计算并分析了表面散射光强的角分布特性。

This paper proposes an universal e-cash system based on partially blind signature which can be divided to small pieces of arbitrary number one time, so-called single-divisibility.

针对通用电子现金系统的难点在于其可分性，本文提出的方案以SK00系统为基础，实现其转移性(SK00公开问题)，并给商家颁发电子执照行使银行的部分职能，进而提出了一个显式可分(即一次性任意分割电子现金)的离线电子货币系统；同时利用以前的技术实现了一个采用树型结构的可分电子现金系统，并比较了这两个方案和以前方案的效率；二者安全性基于离散对数问题和强无碰撞Hash函数安全性；最后本文利用代理签名给出了一个新的部分盲签名方案。

In these algorithms, because of no requirements on the continuity and differentiability of the objective function, they have strong adaptability for the uncertain data and the traits of agility, strong intuitiveness and randomness; they have been put into applications broadly in a short time so as to become active approaches for solving optimization problems.

由于这些方法不要求目标函数连续可微、对计算数据的不确定性有很强的适应能力，且具有灵活性好、直观性和随机性强等特点，因此在很短的时间内就得到了广泛应用，成为解决优化问题的一种有力工具，并展示出方兴未艾的强劲发展势头。

The results show that the stock market returns and volatilities in China have long memory and persistence although they are not as strong as that of American stock market; The memory of Shanghai stock is stronger than that of Shenzhen stock; The autocorrelation function of a fractional integration model can fit the sample autocorrelation much well.

结果表明：中国股市收益率与波动性具有长记忆性，尽管收益率的长记忆性不如美国股市强；上海股市的记忆性明显强于深圳股市；分数可积模型较指数衰减自相关函数能更好地拟合样本的自相关系数

Its subordinate relations,include relations,the order of starlikeness and the order of strongly starlikeness as wellas the integral represation theorem, etc.

引入了强星像函数类的一个子类S（α，β，ρ，σ，A，B），讨论了它的从属关系、包含关系、星像阶数和强星像阶数以及积分表示定理等，所得结果推广了一些作者的相关工作。

Furthermore, as a deduction, it obtains a strong law of large numbers for non-homogeneous Markov chain functions.

这里的结果推广了经典的独立随机变量序列的强大数定律，同时也推广了前人关于非齐次马尔可夫链函数强大数定律的结果。

With the help of the model,the relationship between the target position deviation angle and the scattering intensity was obtained and the effect of scattered light on the signal was analyzed from the view of scattering.

基于Mie理论，考虑粒子尺度分布函数，得到了群体粒子散射模型，在该基础上，建立了目标方位偏差角与散射光强的关系式，从粒子散射的角度分析了粒子散射光强对回波信号的影响。

The strong law of large numbers for the state frequency and the strong limit theorem of arbitrary function for the Markov chain field on the arbitrary Cayley tree are investigated.

主要研究任意Cayley树上马尔可夫链场的状态出现频率的强大数定律以及Cayley树上任意函数的一类强大数定律。

By removing the photocurrents caused by the ambient light among the noise-included signal light, the two photocurrents from the dual-junction sensor of the signal light was measured and their logarithmical ratio was first obtained.

通过对不同峰值波长和光强的高斯函数环境光下传统方法波长测量精度的仿真分析表明，环境光与被测光峰值波长相差越大、光强比越大，则测量结果的误差就越大。

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。