查询词典 linear interpolation

The topics to be covered in the course are Integration and Economics Applications, Linear, First-Order Difference Equations, Nonlinear First-Order Difference Equations, Linear Second-Order Difference Equations, Linear First-Order Differential Equations, Nonlinear First-Order Differential Equations, Linear Second-Order Differential Equations, Simultaneous Systems of Differential and Difference Equations, and Optimal Control Theory.

讲授内容包括积分与经济的应用、线性一阶差分方程式、非线性一阶差分方程式、线性二阶差分方程式、线性一阶微分方程式、非线性一阶微分方程式、线性二阶微分方程式、差分与微分的联立方程式、最适控制理论。

Considering linear and O-linear predictable variables, the author investigates optimal prediction problems by the trace of matrix. A few necessary conditions are derived and accordingly optimal linear and optimal O-linear unbiased predictors, which are unique with probabitity one, are obtained respectively by the author.

对于一类线性可预测变量和Φ-线性可预测变量，作者在矩阵迹意义下研究了一般增长曲线模型中最优预测问题，找到了其存在最优预测的几个必要条件，并在给定的条件下分别得到了最优线性无偏预测和最优Φ-线性无偏预测，而且还证明了它们在几乎处处意义下的唯一性。

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。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。