函数

How to deal with the restrictions of deep excavation is a very difficult problem. This paper analyzes the restrictions of pile-support structure detailedly, uses a castigatory function to deal with the restrictions, and adds the castigation to the function. Now the problem has changed to solve a minimal problem, and GA can be used to the optimal design successfully.

束条件的处理是遗传算法应用到深基坑支护结构优化的难题和重点，本文详细分析了桩撑支护结构的约束条件，采用了罚函数法对约束条件进行处理并反映到适应度函数上，使其变为无约束的极小值问题，从而使遗传算法得以顺利实施。

In order to enhance the difference of homogeneity measurement values between pixels, Cauchy distribution function was selected as the kernel function for proposed measurement method of the image homogeneity.

为增强图像中各像元的同质性测度值差异，以柯西分布函数作为核函数，提出一种图像同质性测度的新方法。

Actually, such a generalized Cauchy distribution was the Pearson VII probability distribution. In this dissertation, the Lorentz distribution was regarded as a generalized Cauchy distribution with only one scale parameter; while the Pearson VII distribution was regarded as a generalized Cauchy distribution with a scale and a shape parameter both.

因此，本文提出应在Lorentz分布的密度函数中再增加一个能够反映分布函数尾部特征的形状参数，希望通过该参数的可调节性进一步改善稀疏编码算法的自适应性。

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

In terms of Cauchy s integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body .

采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近，提出了一种求解二维半无限体势流绕流问题复势的通用方法。

The Green's function in complex domain is introduced to turn the mixed boundary value problems of the fluid potential to the problems of Cauchy's dual integral equation.

文中采用了复域内格林函数解法，将势函数的Herbert问题转化为对Cauchy型奇异积分方程的求解。

Based on the complex variable theory of sectioally holomorphic function, Cauchy type integral and Riemann boundary problem, the solution is derived from relationship of the sections.

通过将复变函数的分区全纯函数理论、Cauchy型积分和Riemann边值问题相结合，求得各分区之间的解析关系，获得了问题的温度场。

By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数的方法，将两相材料倾斜裂纹问题归结为以裂纹表面位错密度函数为未知量的 Cauchy型奇异积分方程的求解。

The elementary solution to Cauchy problem of heat equation is given by applying Fourier transformation.

应用Fourier变换求出热传导方程的基本解，分析了基本解与正态分布密度函数的关系，从而借助密度函数解释热传导方程解的性质。

The definition and stability criterion of resonant operating points in a CPT system have been described. A Poincarémapping model has been built up and its Jacobian matrix has been derived with the implicit function derivative rule and chain rule. Then the stability of the fixed points can be determined according to the eigenvalues of the the Jacobian matrix. It has been used to study an example push-pull CPT system with three resonant operating points.

文中给出了CPT系统中谐振点的定义及判断条件，建立了系统的庞加莱映射模型，并根据隐函数及复合函数求导法则，推导出了系统庞加莱映射周期不动点的雅可比矩阵，根据雅可比矩阵的特征值分布情况，即可判断各不动点的自治振荡稳定性。

Further more, the simplified analysis method on stressed-skin effect of corrugated steel sheet is also discussed in detail.

此外还比较详细地探讨了蒙皮效应的简化分析方法。

If I had known her telephone number,I would have called her.

要是我知道她的电话号码，我就打电话给她了。