基本域

In the fifth chapter, the classic wave number domain algorithm and an approximation algorithm are given.

首先介绍了波数域算法的基本原理，并引入了一种避免STOLT插值的近似波数域算法。

On the bais of fundamentals of the local wave decomposition method, frequency decomposition spectrum and frequency extraction from seismic signals based on the local wave decomposing method are studied.

在局域波分解基本原理的基础上，研究基于局域波分解的地震信号分频谱及频率属性的提取方法。

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。

The basic elements of distributed quantum computation are remote implementation of quantum operations and local implementation of nonlocal operations.

分布式量子计算的基本任务是一系列量子操作的远程实现和非局域操作的局域实现。

The research work presented in this dissertation cover the characteristics of Time Domain Transient Electromagnetic Field analysis method ,the particular analysis of Pseudospectral time-domain algorithm, the improved or hybrid algorithms of PSTD and it\'s application in high power ultra wide-band technology and photonic crystals design.

本文主要研究了时域瞬态电磁场计算方法的基本特性，对近年来出现的时域伪谱算法进行了详细地分析，提出了多种改进及混合算法，并研究了其在超宽带电磁脉冲技术、光子晶体结构分析等工程问题中的应用。

To change bureaucratized field towards science field and create a university ecological environment conforming to internal logic of academic profession development is the fundamental method to promote the healthy development of young teachers and to establish effective faculty development policy

而促使大学由科层场域走向科学场域，营造一个符合学术职业发展内部逻辑的大学生态环境，不仅是促进青年教师健康成长的根本出路，也是大学教师发展政策的基本走向。

A two-times locating method based on the gray contrast of surroundings is presented in locating central reference point. This method has better adaptability and robustness, and can basically meet for the accuracy of automatic locating center. Fourier spectral analysis is improved to obtain a more accurate ridge frequency in computing ridge frequency. The average ridge width is used in designing Gabor filters, so the filters have certain adjustability. The rotating invariance of fingerprint images is solved by the rotating of feature models in feature matching.

在中心参考点定位部分，提出了基于局部邻域灰度对比度的二次定位方法，该方法具有较强的适应性和鲁棒性，基本满足自动中心定位的准确度要求；在频率域估计中，改进了傅立叶谱分析法，提高了纹线频率计算的准确度；引入平均纹线宽度作为Gabor滤波器的设计参数，使滤波器具有一定的自适应性；在特征匹配阶段，通过对特征模板的旋转解决指纹图像的旋转不变性问题。

Firstly, the basic principle of Finite-Difference Time-Domain is introduced and the 2-dimensional FDTD equation is derived from the Maxwells equations, calculated by setting up the appropriate excitation source, cell size, the interval of space and time.

首先，介绍了时域有限差分法的基本原理，从麦克斯韦方程出发，建立二维空间中的时域有限差分方程，通过设置合适的激励源、网格尺寸、空间和时间步长进行计算。

For example, in the research of the space distributing structure of a certain pollutant in the atmosphere, space variation of the pollutant in the soil, design of pollution monitoring net of groundwater, and the v...

首先概述了研究的目的及意义，阐述了克里格方法在水环境系统中的应用情况，然后介绍了克里格方法的基本理论和方法，进而重点讨论了纯时间域和时空域克里格的性质和建模方法，最后将纯时间域克里格方法应用到地表水评价中，预测了某湿地未来几年的水质变化趋势，验证了该模型方法在地表水评价的水质预测方面是可行的。

Therefore, the calculation method used in this paper and the diffusion model presented by Wu are proved to be correct and reasonable. There are many screw dislocations in the surface films.

将扩散方程进行空间域和时间域离散，进行有限元计算，计算值和二次离子质谱测得的结果进行对比，两者基本吻合。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。