summable 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

Relationship of Continuous function and Measurable function in measurable set;

可测集合上连续函数与可测函数的相关性

The natural disposition theorem on n-dimension measurable function

n-维可测函数的本性定理

Based on the definition and the provement of the characters of measurable function,this paper gives the detailed provement of the theorem about judging measurable function.

根据可测函数的定义及其相关性质的证明,给出了关于判定σ(f)可测函数的相关定理的详细证明过程。

The approximation of integrable function f in different situations has different characteristics.

以[0,1]区间上可积函数的逼近度为基础,进一步探讨了区间[a,b]上积分与积分和的逼近度,即可积函数f对任意分法在不同情况下其逼近度有不同表现。

popularize that f1(x),…,fn(x) are all positive continuous functions in in the original proposition into that f1(x),…,fn(x) are all integrable functions in and give its strict theory proof.

本文将原命题中的f1(x),…,fn(x)是[0,1]上的正的连续函数推广到f1(x),…,fn(x)为[a,b]上的可积函数,并给出了严格的理论证明。

The paper gives an improvement on the problem of extremal value of mean value functionF(x)=1x-a∫~x_af(t)dtx∈(a,f(a)x=afor the integrable function f(x) in of the papers ,.

对文[1]、[2]中在[a,b]上的可积函数f(x)的平均值函数F(x)=1x-a∫xaf(t)dtx∈(a,b]f(a)x=a的极值问题提出了改进。

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