查询词典 linear independence

Mathematics model of dielectric under uniform electric field is built up, and total current is separated into three parts such as conductive current, instantaneous current and relaxation polarization current, then polarization and depolarization of linear and non-linear dielectric are simulated under step excitation, the results show that nonlinearity of non-linear conductivity is reflected by measuring surface potential attenuation during the process of self-discharge of non-linear dielectric.

论文首先对处于均匀电场下的电介质进行电路建模，把电介质的总电流分为电导电流、位移极化电流和松弛极化电流三部分来分析，然后以此为基础利用Matlab软件中的Simulink平台对直流阶跃激励下线性和非线性绝缘介质的极化和退极化过程进行了仿真，结果表明可以通过测试非线性绝缘介质自放电过程的表面电位衰减来反映其非线性电导的非线性程度信息。

In this paper,we discuss the Walsh spectral characteristics of partially-bent functions over ring Znq(q=p1*p2,p1、p2 are primes),propose two new concepts―nonzero factor variant-permanently linear structure and zero divisor variant―permanently linear structure,classify the variant-permanently linear structure of partially-bent functions and show their correlation,obtain several new equivalent conditions of partially-bent functions on ring Znq,finally,point out the correlations among balance, linear structure and points taking nonzero spectrum.

本文在环Znq上讨论了部分bent函数的谱特征(q=p1*p2，p1，p2是素数)，得到了Znq上部分bent函数的几个新的刻划，揭示了部分bent函数的平衡性、线性结构点及非零谱值点之间的相互关系，并对部分bent函数的恒变线性结构点进行了分类，指出了它们之间的相互关系，提出了零因子恒变线性结构点和非零因子恒变线性结构两个新概念。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

By modeling six kinds of linear and non-linear optimal forecast combining models,this paper com- pares the performance of the linear and non-linear forecast combining methods,as well as neural network methods and other optimal combination methods.

1引言在实际预测工作中，某些模型在某个特定的时间或系统之下具有良好的预测效果，但是面对动态的变化的现实，采用任何单一的预测方法均不可能在任何经济状态下都达到令人满意的效果。

Leaf blade linear, oblong-linear, linear-elliptic, or linear-lanceolate, usually less than 1 cm wide

叶片线形，长圆状线形，线形的椭圆形，披针形或线形，通常少于1厘米宽 10

Linear motor is a kind of equipment for converting electrical energy into linear movement use. In most occasions where need converting rotary movement into linear movement, linear motor shows its superiority. It makes many in-between transferring machine unnecessary. Therefore, the whole system runs more steadily. In addition, thanks to the reducing of the in-between machine, the friction wastage of the whole system is reduced and the efficiency of the whole system is improved.

直线电机是一种将电能直接转换成直线运动机械能的驱动装置，在许多需要由旋转运动转换成直线运动的场合下使用，它可以省却中间机构，从而使装置得以简化，减少了维护的工作量，提高了系统的可靠性，且易于控制，在合适的使用场合下，还可以提高整个系统的效率。

To overcome the drawback that the traditional Linear Grouping Algorithm, when extracting linear structures, is sensitive to outliers in datasets, a new finite step according to existence of optimal linear grouping in data set and a new algorithm based on k-means clustering, total least absolute deviation and resampling were proposed, which detected several different linear relations at once to minimize the total orthogonal distances from n given points to its nearest hyperplanes.

为克服传统提取数据集中线性结构的LGA对噪声数据比较敏感的缺陷，提出了两种基于稳健的全最小一乘准则下的LGA新算法。首先证明了全最小一乘准则下数据集最优划分的存在性，并据此给出一种有限步终止算法。其次为提高计算速度，根据k-means算法、全最小一乘准则和重抽样方法给出另一种快速收敛算法。

Aim To generate the concepts and properties of linear dependence and linear independence.

目的 推广线性相关与线性无关的定义与性质。

Such as seeking the solution of inverse matrix and maximum unconcerned system of linear equations,and solution of matrix equation,proving equation of system of vectors,and judging the linear independence of system of vectors,etc.

可以用来求逆矩阵，求向量组的极大无关组，证明向量组等价，解线性方程组，解矩阵方程和判断向量组的线性相关性，等等。

But, in the natural and artificial signal, a lot of signal phases don\'tvary linearly with time, for example, we usually use chirp signal in the radar technology,frequency step signal, linear modulation component of the ground echo in the SARtechnology, linear modulation component of the moving target echo, linear modulationcomponent while the airborn radar detecting the moving target, etc.

在自然界和人工信号中，许多信号的相位变化并不是随时间一次方变化，如雷达技术中常用的线性调频信号，频率步进信号，另外，SAR 技术中，地面回波所含有的线性调频分量，ISAR技术中，运动目标的回波所含有的线性调频分量，机载雷达探测运动目标时的线性调频分量，等等；傅里叶变换对此类信号分析所得的结果是信号在不同频率点上的能量分布，即信号在基函数上的投影。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。