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
Let A be a set of m-th power free numbers,in this paper,we mainly use the analytic methods to study the mean value distribution properties for the differential function as well as the integral functionand and Smarandache ceil function,which was limited to set A,and obtained some sharped asymptotic formulas.
研究了Smarandache ceil函数与微分函数、积分函数的混合均值。
This paper propose the analytical solve of effective factor of one-dimensional cylindroid catalyst, which takes an one-order inreversible reaction, by using special functions.
利用特殊函数求出了一维圆柱形催化剂在等温一级不可逆反应中的效率因子,并对其渐进方程和普遍化效率因子进行了讨论。
Based on the relationship between special functions and the Sturm-Liouville equation,we ohtained a Unified formula for calculating the normalization integral of different special functions,so as to avoid the cumbersome calculations of the difficulty integration in different cases.
以各类特殊函数与S turm-L iouv ille本征方程之间关系为基础,导出了一个计算各类特殊函数模积分的一个统一公式,这样不仅避免了过去要对不同的特殊函数分别用不同方法计算模的积分,而且使模的计算本身得到较大简化。
In this paper, the author makes use of some properties of elliptic integrals to study the well -known special functions λ(K).
本文利用椭圆积分研究平面拟共形理论中重要的特殊函数λ（K）及其一般形式λ（K。
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