解析函数

In this paper, a kind of generalized Krylov function is defined and discussed.

河南省自然科学基金项目（984070700）资助摘要定义并讨论了一类广义克雷洛夫函数，给出了用该函数表示的弹性地基上铁摩辛柯梁的解析

The author put forth the H function,which is capable of measuring the distributive characteristics of a two dimension discrete point set in a square,and derives its analytical expression theoretically based on geometric probability.

作者以几何概率为理论基础，提出测度正方形区域内2维离散点集分布特征的H函数并推导其解析表达式，运用H函数设计和实现了集聚型2维离散点集结构信息提取的通用算法。

Because both harmonic wavelets and scaling function have the simple structure, and the simple and fast algorithm, it has great capacity of extracting characteristic signals.

谐波小波函数和尺度函数具有清晰明确的解析表达形式及简单快速的算法，在信号提纯与特征提取中具有极大的应用价值及广阔的应用前景。

The objects of study in the course are real-valued functions defined on the n-dimensional Euclidean space; the theories of Lebesgue measure and Lebesgue integration are expounded emphatically.

实变函数》是数学专业、统计专业三级学生的一门必修课，是介绍近代解析数学领域的基础知识的一门专业基础课，内容以 n 维欧氏空间上的实值函数为对象，重点阐述了 Lebesgue 测度和 Lebesgue 积分理论。

On the basis of this conclusion, we simplify the likelihood difference function, and the analytic form of the probability distribution function is obtained.

在此基础上对两个相邻区域的似然差函数进行简化，获得它的概率密度函数的解析形式。

The supper-resolution of the PR method is pointed out for the first time and the uniqueness of the retrieved complex image is proved with the help of linear independence of given discrete system response.

通过实际信号分析得出由图象强度定义的对比度函数更适合于聚焦参数的最优化求解，解析得到对比度函数的梯度，能够应用FFT进行高效计算。

It obtained analytic expression or arithmetic solution of the mean value, the mean square value, the related function and the spectral density function of heat conduction system of 0-D, 1-D, 2-D and 3-D, by applying stochastically theory of linear system and the results of the first part.

该部分利用线性系统的随机理论和第一部分的成果，获得了0维、1维、2维和3维导热系统均值、均方值、相关函数、谱密度函数的解析表达式或数值解。

One is for Green's function in elements by using linear integrals; the other is for its normal derivative by the divergence theorem.

作法是仅需对原有的奇异性核函数加入一项使其异性消除，同时再将函数的解析积分值减去原方程式。

On the basic of NNLSE and the Poisson equation, using the Green function approach, we obtain the response function of the lead glass of finite-size, which is a strong nonlocal medium. Starting with the paraxial ray equation, we obtain the analytical solutions of the oscillation trajectory and period of the beam.

基于非局域非线性薛定谔方程以及热传导的泊松方程，采用格林函数法求出了强非局域介质铅玻璃的响应函数和临界功率；从光线方程出发得到了偏离材料中心入射的光束中心振荡轨迹以及周期的解析解。

It is proved that the relationship of quadratic function exists obviously between yield and feitilizer factors.

对获得的肥料效应函数的解析结果表明，各肥料因子与产量之间存在着二次函数关系。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失