复合函数

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descentlike algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

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

用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 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。

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。

If is continuous at ,, and is continuous at , then the composite function is also continuous at .

若函数在连续，且，而函数在连续，则复合函数在也连续。

The derivative of the composite function is the product of the derivatives of the components.

复合函数的导数是构成函数的导数之积。

A new approach to computing an element of Clarke generalized gradient for this class of functions at a point, is proposed.

高岩对于一类非光滑函数一光滑函数的有限次极大值复合函数，给出了计算它在一点处Clarke广义梯度中一个元素的新方法。

The system function of late-developing advantage is a sustained decreasing dynamic function with the time, which is composed of seven sub- system functions.

后发优势系统函数是一个随时间持续递减的动态复合函数，它由7 个子系统函数组成。

Smarandache LCM function and the divisor function,a mean value of composite function which involving the pseudo-Smarandache functions is given,and obtain some interesting identities and asymptotic formulae for them.

Smarandache无平方因子函数Zw和新的伪Smarandache函数K的复合函数的均值问题，并给出一些有趣的恒等式及渐近公式。

Meromorphic function, holomorphic function, normality, iterate, fixed point, periodic point, periodic cycle, composite function, shared value, unicity theorem

亚纯函数，全纯函数，正规族，不动点，周期点，周期轨道，复合函数，分担值，唯一性定理

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。