partially differentiable function

Two mathematical derivations of them have been introduced by using the properties of differentiable function and the derivation algorithm of multiple function in present paper, and several mistakes in some derivative methods have also been pointed out.

介绍了应用可微函数的性质及多元复合函数的求导性质推导热力学中著名的麦克斯韦关系式的方法 ,指出了有关文献中推导过程的不

In this paper, we give a generic condition of differentiable functions on noncompact complete Rie- mannian manifold.

本文给出了比文［４］更好的非紧完备黎曼流形上可微函数的最大值与最小值原理的一般性条件。

This paper investigates the absolute convergence of the Fourier Laplace series concerning of some smooth functions defined on the unit sphere in R n,hereinto shows that:if f is 2([n4]+1) th continuously differentiable function on H r P(Ω n),then the series ∑∞k=0Y kf(x) converges uniformly to f.

讨论了n 维球面上某些可微函数类的Fourier Laplace级数的绝对收敛性 ,其中指出 :设f是Hrp(Ωn)上 2 ( [n4 ]+1)次连续可微函数 ,则级数∑∞k =0 Ykf(n)一致收敛到f 参

In this paper,by using the result about the simultaneous polynomial approximation with Hermite interpolatory side conditions,we discuss general conformal simultaneous approximation of differentiable functions and obtain some results.

应用带Hermite约束条件联立逼近的结果 ,讨论了有限区间上可微函数借助于代数多项式的一般保形同时逼近 ,得到相关的几个结

In the paper,some regularization properties of ω-ultradifferentiable functions D(w)(Rn) and ω-ultradistributions D′(w)(Rn) are discussed.

文章讨论了ω-超可微函数空间D′(ω)(Rn)和ω-超广义函数空间D(ω)(Rn)中的一些正则化性质,证明了当ε→0时,Tε=T*αε→T(D′(ω)Rn)。

In the paper,a special class of quasidifferentiable functions-subsuper differentiable functions is introduced,which satisfies the conditions of the existence of high dimensional kernels,and the formula of kernels is deduced.

引入了一个特殊的拟可微函数类-次超可微函数,证明了其满足具有高维核的条件,并且推导出了高维核的计算公式。

In this paper, the convexificator kernels of quasidifferentiable functions are introduced.

本文对拟可微函数定义了凸化核的概念,并对其具体结构做了进一步的研究, 给出了一般拟可微函数为次可微的一个充分条件。

An algorithm for determining the Gteax differentiability for a class of quasidifferentiable functions whose quasidifferentials are convex hulls of finite number of points is presented.

对于拟微分为有限点集凸包的拟可微函数 ,给出了判别其在任一点处是否可微的一种算法 。

Considiering the following indifferentiable optimization problemmin where arequasidifferentiable functions (in the sense of Demyanov and Rubinov)defined onRn and are locally Lipschitz defined on Rn.

考虑下述不可微优化问题：其中为Ｒｎ上的拟可微函数（在Ｄｅｍｙａｎｏｖ和Ｒｕｂｉｎｏｖ意义下）上的局部Ｌｉｐｓｃｈｉｔｚ函数。

A characterization on quasidifferentiable functions is given this paper.

本文给出了拟可微函数的一个等价命题。

infinitely continuously derivable functio

无限次连续可微函数

He first discussed his example of a continuous nondifferentiable function.

他首先讨论了其连续不可微函数的例子。

As aspecial case, the viability of epigraph of a sub-differentiable function is discussed.

最后讨论了次可微函数上图的生存性问题。

Maximal and Minimal Value Principle of Differentiable Functions on Noncompact Complete Riemannian Manifold

非紧完备黎曼流形上可微函数的极值原理

Convexificators and Approximate Generalized Hessian Matrices for the Directionally Differentiable Functions;

凸化集与方向可微函数的近似广义海森矩阵

Convolution in ω -Ultradifferentiable function spaces ε_*(R~N)

ω-超可微函数空间ε_*(R~N)中的卷积运算

Some Criterions for Ultradifferentiable Function Spaces of Beurling Type

Beurling型ω-超可微函数空间的一些判别条件

Hausdorff Dimension of A Continuous and Non-differentiable Function Defined by Septenary Decimal;

一个七进位制小数定义的连续不可微函数的Hausdorff维数

The function is continuously differentiable.

函数是连续可微分的。

piecewise continuous differentiable function

分段连续可微分函数

Not all continuous functions are differentiable.

不是所有的连续函数都是可微的。

Spreading of Euler Formula on Indifferential Homogeneous Functions;

欧拉公式在不可微齐次函数中的推广

Inferring the Partial Derivatives of Thermodynamics' State Functions by Measurable Variables

热力学态函数的偏微商用可测量表示

Henstock integrable function and staircase function;

Henstock可积函数与阶梯函数

implicit differentiation

隐函数微分，隐微分法

If desired, the perturbed wave function may be normalized at the end of the calculation.

当需要时，可在计算最后将微拢波函数归一化。

Performance Analysis of Neural Network with Non-differentiable Activation Function

具有非可微激活函数的神经网络性能分析

Another Two Forms of Necessary and Sufficient Condition of Differentiable Complex Function;

复变函数可微性充要条件的另两种形式