查询词典 exponential

Results based on experiment and measurement data indicate that, when 244 nm argon ion laser emits 40 mW UV light, the curve of refractive index changes in single mode hydrogen loading fiber is exponential type (Ac=1.632×10-6 t 0.76912), exponential growth is obvious in the beginning, a very good linear region is following, and then refractive index increments reach saturated.

结果表明， 244 nm氩离子倍频激光器输出光功率为40 mW时，普通载氢光纤光致折射率变化量随曝光时间总体上呈现指数分布关系Ac=1.632×10-6 t 0.76912；在曝光时间较短时，造成的光栅强度较弱，光致折射率变化量有明显的指数增长趋势，之后是一段较好的线性区域，这时两个测量模型的结果得到了很好的印证，随着曝光时间的继续增加，光致折射率变化量达到饱和。

It′s found that the GVD-caused chirp in the exponential type of DDF is least likely to be affected by the initial chirp,the GVD-caused chirp in exponential, linear,Logarithm and Guassian types of DDF has the synchronous character of saturation as the nonlinear-effect-caused chirp ,and the two kinds of chirp are found to counteract to balance, which makes the sum chirp tend to be zero.

发现指数型色散缓变光纤中初始啁啾对GVD所致啁啾的影响最小，在指数型、线型、对数型和高斯型色散缓变光纤中GVD所致啁啾具有同非线性效应所致啁啾相似的饱和性，二者相消，使净啁啾趋于零。

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。

Calculating the functions of the matrix exponential e has special significance in the theory of linear systems and the theory of semi-groups. Especially, in the modern control theory, no matter the equation is homogeneous or non-homogeneous, the result depends on the calculation of the matrix exponential e.

矩阵指数函数e的计算在线性系统理论及半群理论中有着特殊的作用，在现代控制理论中，无论是齐次方程还是非齐次方程的求解，主要取决于矩阵指数函数e的计算和近似。

The exponential analysis method in the statistical principle is studied by using infinitesimal calculus method,and the more precise method for different forms of alteration and variable quantity in exponential analysis method is put forward.

应用微积分方法对统计学原理中的指数分析方法进行了研究，提出了对指数分析法中的变量变动的不同形式进行更为精确他测定的方法。

Under some conditions, we prove that random nonuniformly exponential dichotomy actually imply random uniformly exponential dichotomy. And, using the normal Lyapunov exponents, we also obtain a sufficient condition under which a random compact and invariant subset is a random forward attractor. This is a generalization of the results of Ashwin\'s.

在一定条件下，我们证明了随机非一致指数二分性蕴含着随机一致指数二分性，同时，利用法向Lyapunov指数，我们还给出了一个紧致的随机不(来源：A5cBc765C论文网www.abclunwen.com)变集能成为随机吸引子的一个充分性条件，推广并改进了Ashwin的一些结果。

In 2002, Kou proposed double exponential jump diffusion model, the most important is that double exponential jump diffusion model can generates a highly skewed and leptokurtic distribution, in addition, DEJD leads to tractable analysis pricing formulas for European and path-dependent options.

在2002年，Kou提出了双指数跳扩散模型，该模型最主要的特点就是能产生一个尖峰厚尾分布，更重要的是在双指数跳扩散模型下能给出易处理的欧式期权和奇异期权的解析定价公式。

In this paper, we discuss the number of the orthonormal set of exponential function in other cases. And we prove that either isn't a root of a equation of "odd" type or is even, any orthonormal set of exponential function in has at most two elements, where is the minimal primitives polynomial for.

本文讨论当ρ为其余情形时，指数型正交序列集中元素个数，证明了当ρ^(-1)不是奇数型方程的根或者其本原最小多项式g满足g为奇数时，则L^2中任何指数型正交集至多含有两个元素。

Otherwise, we construct an exponential fitting schur product multistep method based on schur product multistep method and exponential fitting method.

数值实验表明，该方法与传统方法相比，在同等步长下，方法的计算精度远远高于传统方法。另外，本文将此类指数拟合方法与Schur积多步方法结合起来，构造了一类指数拟合Schur积多步方法。

When normal distribution of subordinate function was considered, we can further deduce fussy reliable formulas that forces and intensities were lognormal distribution, that forces and intensities were weibull distribution, that forces were exponential distribution and intensities were normal distribution, that forces and intensities were exponential distribution. 3. Coincide methods of skip-ratio curve were gotten by deducing and skip-ratio functions of standard road in common use was gotten by theoretic and algebraic calculation.

并以此为基础选取了广义而精确的正态分布隶属函数，进一步推导了应力和强度均为对数正态分布时的模糊可靠性公式、应力和强度均为威布尔分布时的模糊可靠性公式、应力为正态分布和强度为威布尔分布时的模糊可靠性公式、应力为指数分布和强度为正态分布时的模糊可靠性公式、应力和强度均为指数分布时的模糊可靠性公式。

It inculcates justification before God on the ground of human merits.

它说明在上帝灌输在地上人类优点。

TH Leaguer has excellent Quality Control and Management System.

本公司具有完善的品管部门。