Differentiable function

The relation between bounded variation function and differentiable function is discussed .

研究了[a，b]上的有界变差函数与[a，b]上的可微函数之间的关系，得出了有界变差函数是准可微函数；

The Integral Representation of Continuously Differentiable Function in Several Complex Variables and its Application

多复变数连续可微函数的积分表示及其应用

A Discussion on Constructing a Type of Continuous and Non - differentiable Function

对如何构造一类连续但不可导函数的讨论

Construct n-order differentiable function with compact support in set of real numbers

在实数集上构造具有紧支集的n阶可导函数

The Approximation of Differentiable Function by Linear Sum of Interpolating Operator

用插值算子的线性和逼近可微函数

Differentiable function in ( 1 ) space

空间中的可导函数

Discussion on periodicity of periodic and differentiable function

周期函数导数的周期性探讨

In this paper an interval iterative method is given for seeking the global maximum of a second order differentiable function .

本文就二次可微函数类给出一类求大范围极值的区间迭代方法。

It was proved that in infinitely differentiable function class non-hydrostatic perfect elastic equations set is stable .

证明了非静力完全弹性方程组在无穷可微函数类中是稳定方程；

By very elementary method , it is proved that every continuous differentiable function defined in a perfect set has differentiable extension .

本文完全用初等的方法证明了完全集上连续可微函数都有可微开拓。

Piecewise continuous differentiable function

分段连续可微分函数

This method utilizes rigorous mathematical transformation to substitute the non-differentiable objective function with a differentiable function which has single extreme point .

这种方法通过严密的数学变换，将不可微的目标函数转化为具有单一极值点的可微函数，从而可以通过最优化方法求取目标函数的全局极小值，从而得到正确的编群结果。

Then , the desired awareness coverage level over the mission domain is defined as a non-decreasing differentiable function of the density distribution .

然后定义任务区域每点的目标感知覆盖程度为这个密度函数的非递减可微函数。

The First-Kind Submanifold of Infinite Differentiable Function

一类无穷次可微函数的子流形

An exact integral expression of finite sum of sequence of a continuously differentiable function has been given , which can be used in approximate calculation with arbitrary accuracy .

对通项为连续可微函数的函数列，给出了其有限和的精确积分表示；可用于任意精度要求的近似计算。

For a twice differentiable function defined on a convex domain in R ~ n , multivariate differential Mean Value theorems are generalized to the high order case , and an example is given .

对凸区域DRn上的二次可微函数，本文采用构造混合函数的方法，将多元函数微分中值定理推广到了高阶的情形，并给出了应用示例。

In this paper , the first-kind submanifold of infinite differentiable function C ~ ∞ is defined , and the sufficient and necessary conditions in one track under the two circumstances are discussed .

给出了无穷次可微函数C~∞的子流形的定义，讨论了该子流形在两种情况下包含在一条轨道中的充分必要条件。

In this paper , we formulate a pair of higher-order symmetric models by using a differentiable function , where the objective functions contain a support function of a compact convex set in Rn .

本文我们利用一个可微函数给出了一对高阶对称规划问题，其中目标函数包含了Rn中一紧凸集的支撑函数。

Eigenvalues of Hessian matrix of quadratic differentiable function 's steepest descent curve were then used to construct a positive definite matrix , which can construct the descent direction at this point .

其次从二次可微函数最速下降曲线得到利用其Hessian阵的特征值构造的正定矩阵，进而利用该正定矩阵可以构造在该点的下降方向。

For example , if we apply it to the double continuously differentiable function class and the continuous function class respectively , the results in [ 2 ] 、 [ 3 ] and [ 4 ] are derived .

将这种方法应用到不同的函数类上，就可得到各种不同的具体的迭代公式。例如，应用到二次连续可微函数类上，就包含了[2]，[3]的结果；

The neural network designed in the paper is tri-level BP neural network possessing Sigmoid type differentiable function . We can use arbitrary precision approaching any continuous function , realize any non-linear mapping between input and output .

该文中所建立的神经网络具有Sigmoid型可微函数的三层BP神经网络，它可以以任意精度逼近任何连续函数，实现输入和输出之间的任意非线性映射。

Based on this , to avoid using the Green ′ s formula on infinite domain , an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained .

在此基础上，为了避免使用无限区域上的Green公式（不成立），通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

Based on solving Green problem , a n-order differentiable function B ( x ), with compact support through the difference method in set of real numbers , is constructed . Two examples are shown to illustrate the approach is simple and validity .

在求解格林问题的基础上利用差分方法构造了具有紧支集且有直到n阶连续导函数的函数B（x），给出的两个例子说明该方法是简单可行的。

The problem on uniformly strong differentiable abstract function

抽象函数的一致强可导性问题

The Demonstration of a Non - differentiable Continuous Function

一个无处可微的连续函数的证明

This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system .

给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。

Uniformly Differentiable Abstract function and Their Properties

关于抽象函数的一致可导性及其性质

To solve nonlinear constraint optimization problems , COA is combined with exact non differentiable penalty function .

结合精确不可微罚函数求解非线性约束优化问题。

Some suggestions for executing this method are presented , graphical results of nowhere differentiable continuous function are shown .

对此，阐明了一些有效的建议，并给出了无处可微连续函数的图示结果。

We use B-spline smoothing technique to smooth the characteristic function without changing the integral quantity and get a differentiable weight function . The method considerably improves the quality of sampling points .

我们用B样条磨光技术在不改变积分值的前提下磨光特征函数，用可微的权重函数代替特征函数，提高了采样的质量。