应用函数

A new growth model is derived from the logarithmic function and the power law.

通过对幂函数和对数函数的比较分析，本文构建了新的词汇增长模型，并应用此模型推导出科技英语的理论词汇增长曲线及其95%双向置信区间。

Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.

介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法，指出了有关文献中推导过程的不

This paper analyzed the process of concrete component ultrasonic testing signals applying the wavelets technology and wavelet packages technology from the discomposed effect, the avoiding noise and the composition of the signal.

基于小波函数的特点，从小波分解的效果，小波降低信噪比等方面，系统地分析小波及小波包在混凝土构件超声信号检测中的应用，利用四阶 Daubechies小波函数建立了一小波消噪模型。

The correlation function method is applied to analyze the fluctuation of the excitation function in the dissipative nuclear reaction.

应用关联函数方法，分析耗散反应激发函数中的涨落。

Bayesian and empirical Bayesian theory are used to estimate the scale parameter of the double exponential distribution and the loss function and risk function of the Weibull distribution.

中文摘要：本文将贝叶斯，经验贝叶斯理论应用于双指数分布族的刻度参数估计和Weibull分布的损失函数和风险函数的估计。

This thesis builds optimal model which takes the four-cylinder double-acting Stirling engine model as objective function and takes actual conditions as constraints, and use quasi-Newton method and penalty function method to slove this problem.

论文以建立的模型为目标函数、以具体实际情况为约束条件建立了发动机参数最优化模型，应用拟牛顿法和惩罚函数法实现了对最优化模型的求解。

By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.

通过复变函数论的方法，对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究，采用自相似函数的方法可以获得解析解的一般表达式，应用该法还可以很容易将所讨论的问题转化为Riemann-Hilbert问题，并可以相当简单地得到问题的闭合解，利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

The solution of spherical function is given in the paper,and it is applied reasonably in the problem of eigenvalue of angular momentum square operator.

本文对球函数方程进行了求解，并将球函数方程的解合理地应用于角动量平方算符的本征值问题中。

Extended elliptic function expansion method is applied to construct the explicit exact solutions of the Zakharov Equation.

将改进的Jacobi椭圆函数展开法应用到Zakharov方程，比较方便地得到新的解析周期解(包含冲击波解、孤波解和双曲函数解)。这种方法也适用于其他非线性方程或方程组

Based on genetic algorithm,a new hybrid coding method using the integer and floating number was presented. The enumerable method guarantees each individual in the population to satisfy the constrains, thus the punishment function was avoided. The two adjustable parameters made the evolution process jump out of the local best solution perfectly.The application of the fitness assignment based on Pareto ranking attained inferior solution set of the multi-objective and multiple options were provided to the decision-maker.

设计了一种新的整数和浮点数结合的编码方式；通过列举法使得每代个体满足约束条件，避免了罚函数的使用；可调整的双参数变异算子使进化过程能够较好地跳出局部最优解；应用基于Pareto排序的适应值分配方式得到目标函数的非劣解集，为决策者提供了多种选择方式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。