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By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法,获得各复势函数之间的解析关系,进一步得到了特殊情况下所讨论问题的封闭解,并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and the method for Riemann boundary problem, analytic relations between the complex potentials are obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解力法,导出各复势函数之间的解析关系,进一步得到特殊情况下所讨论问题的封闭解,并解出像力随温度梯度和位错位置变化的表达式。

This article according to the function image axial symmetry and the point symmetry basic principle,the use function taylor series expansion,determines and seeks the polynomial function image the axis of symmetry or the center of symmetry.

根据函数图象轴对称及点对称的基本原理,利用函数的泰勒级数展开式,来判定和寻找函数图象的对称轴或对称中心。

According to the some properties of the differentiation ,I found that the symmetry of the graph is closely related to the first-order differentiation and the second-order differentiation .from this ,I search for a way to identify the symmetry of the functional graph for the direct line or the central symmetry of the functional graph for the some dot .

摘 要:利用导数的一些性质,发现了函数图象的对称性与函数的一阶、二阶导数的密切关系。根据这些关系,找到了一种判定函数图象是否关于某一直线对称或关于某点成中心对称的方法。

This paper reveals the relationship between the parity of derivative function and the symmetry of the graph function, finding a effective way to judge whether the functional graph can have the axial symmetry or central symmetry.

揭示了函数导数的奇偶性与函数图像对称性的关系,发现了一种可以用来判定函数图像是否具有轴对称性或中心对称性的有效方法。

Ula. The chain rule is just how to take the derivative of "chained" functions

易。链式法则仅仅是如何对链式函数求导的意思,函数 x 引用函数 g ,你要求导 xg

The formulas calculating higher derivatives of parametric functions and composite functions are given by the chain rule and the product formula for derivatives.

函数的链式法则和乘积公式给出了参数函数和复合函数的高阶导数的计算公式。

The chain rule is just how to take the derivative of "chained"functions — meaning, function x calls function g, and you want the

链式法则仅仅是如何对链式函数求导的意思,函数 x 引用函数 g ,你要求导 xg

The chain rule is just how to take the derivative of chained functions — meaning, function x calls function g, and you want the derivative of xg

链式法则仅仅是如何对链式函数求导的意思,函数 x 引用函数 g ,你要求导 xg

In presented method, the correlated variables are transformed into uncorrelated variables equivalently, and the performance functions in the correlated variables space are transformed into those in the equivalent uncorrelated variables space, in which the reliability sensitivity of the system failure probability with respect to the distribution parameters of the uncorrelated variables can be solved by the moment method for the uncorrelated variables. Finally the equivalent relationship between the correlated variables and the uncorrelated variables, the chain rule for derivative are employed to obtain the reliability sensitivity of the system failure probability with respect to the means of the correlated variables.

在所提的方法中,首先将相关变量空间等效转化为不相关变量空间,并将系统多个失效模式的功能函数转化为不相关变量空间的功能函数,进而利用矩方法得到多模式系统失效概率对不相关变量空间基本分布参数的灵敏度,最后利用相关变量空间与不相关变量空间的等价关系及复合函数求导法则,求得多模式系统失效概率对相关变量空间中变量均值的灵敏度。

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