可和函数

An explicit formula for the enhancement factor in gas-liquid absorption with irreversible chemical reactions is presented.

提出气液化学吸收增大因子β的显函数式，并分别同膜理论、渗透理论模型以及可vanKrevelen—Hoftijzer隐函数式的数值解比较，证明显函数式相当逼近该二理论模型，同时在准确性和方便性方面都优于隐函数式。

We give a group of circular filter functions, use genetic algorithm to select the frequency bands of larger divisibility value and to estimate the parameters of circular filter functions, and design the expression of chromosome and the function of fitness.

给出了一组圆形滤波函数，并使用遗传算法来选择可分性较大的频段和进行圆形滤波函数的参数估计，设计了染色体的表示方式和适应度函数。

To solve the third problem, the definition of T-revision function and RT-computation model are proposed, and it is proved that with the increase of revision time, T-revision function converges to revision function and T-revision function is computable.

作为对第3个问题的解决，作者提出了T-修正函数的定义和RT-计算模型，证明了随修正时间的增长，T-修正函数逼近修正函数，且T-修正函数是可计算的。

To solve the third problem, we present the definition of T-revision function and RT-computation model, prove that T-revision function converges to revision function with the increase of revision time and Trevision function is computable.

作为对第3个问题的解决，作者提出了T－修正函数的定义和RT－计算模型，证明了随修正时间的增长，T－修正函数逼近修正函数，且T－修正函数是可计算的。

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数，而其Fourier系数可通过协方差函数的逆变换得到的特性，我们对于零均值的近周期相关序列构造了类似于周期图的函数，并构造其经验小波系数，利用频率处于此函数的尖点的特性，以及此性质在经验小波系数中的反映，来确定频率的个数和位置，所有的估计量都是强相合的，此外，数值模拟的结果表明，我们的方法是有效的。

As for continuous random variable, the connection of distribution function between random variable and its function -- a new random variable can be obtained first according to the definition of distribution function, then the connection between distribution densities can be obtained by derivation; thus the distribution density is solved.

对于连续型随机变量ξ来说，可由分布函数的定义先求出随机变量ξ和它的函数η=f这个新的随机变量的分布函数之间的联系，然后通过求导，得到密度函数之间的联系，从而求得η的分布密度。

The identity and difference in the expressional patterns between distribution functions of discrete random variables and distribution functions of continuous random variables are elaborated,and the main expressional patterns of distribution functions of continuous random variables are summarized,and the derivability of distribution functions of continuous random variables is discussed.

0引言在概率论中，连续型随机变量分布函数的表达形式及其可导性是一难点。其一，离散型随机变量的分布函数有较明显的性质和统一的表达形式，而连续型随机变量，由于其概率密度函数一般为分段函数，根据其分段区间的差异，表达形式差异较大，不容易总结其规律，本文主要比较连续型随机

Any function on an interval will be expanded as the sum of finite items of the scaling functions and wavelets. It plays an important role for numerical analysis of partial differential equations, signal processes, and other similar problems.

于是，任何有限区间上的函数皆可表示为该区间上的尺度函数和小波函数的有限和，即小波级数，这克服了用无穷区间上的小波进行有限信号处理时，在边界上误差较大的不足，同时将该小波用于偏微分方程具有同样重要的意义。

Optimal algorithm of combined nonlinear Hopfield network appears powerful validity in solving nonlinear planning, which includes nonlinear objective function, linear constrains and high-demension of decision-making variants, for its ability of nonlinear parallel computation. It is prominent among optimal algorithms because of its function of simply implement with electrocircuit hardware. Genetic algorithm is expressly suitable for optimal calculation regarding the planning of massive, highly nonlinear, inconsecutively differentiable and multiobjective function as well as objective function without analytical expression. However, it inclines to prematurity, as well as its limitation in ability of partial optimal search. Introducing the optimal algorithm of niche genetic simulated annealing to standard Genetic algorithm, can therefore improve the full-scale or partial search ability of Genetic algorithm effectively. It has a far-flung perspective in the field of systemic planning of water pollution control.

组合式非线性Hopfield网络优化算法所具有的非线性大规模并行计算能力在求解具有非线性目标函数、线性约束条件及高维决策变量的非线性规划问题方面显示出了强大的生命力，它易于电路硬件实现的功能更是在优化算法中独树一帜；遗传算法采用概率搜索技术，不受目标函数与约束条件的限制，特别适合大规模、高度非线性的不连续可微的多峰目标函数及无解析表达式的目标函数的规划问题的优化计算，但其存在容易早熟、局部寻优能力较差等缺点，本文在标准遗传算法中引入小生境技术及模拟退火算法有效地改善遗传算法的全局和局部搜索性能，提高了全局最优解的寻优质量，小生境遗传退火模拟优化算法在水污染控制系统规划中的应用前景极为广阔。

And using thinking of evolvable hardware design,it had realized a novel way in simplifying the given logic function,which was different from conventional method,such as algebra way and Karnaugh map way.Experiments showed that evolvable hardware method could solve simplification of large scale logic function.

作者在对演化硬件设计理论的学习研究中，尝试了用遗传算法在可编程逻辑器件上应用来实现对某一给定的逻辑函数进行化简。2代数法和卡诺图法介绍[1]先给定一个逻辑函数F，并对其进行化简：F=A+ABC+AC+CD(1)2.1代数法化简代数法化简就是运用代数的公理、定理和规则对逻辑函数进行化简。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。