查询词典 totally differentiable function

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

The composite nonsmooth optimization problem is defined as follows:〓where h is a convex function defined on〓and is bounded from below,and〓〓is a mapping from〓to〓and〓are twicecontinuously differentiable function on〓.

复合NDO问题被定义如下：〓这里h是一个定义在〓上的凸函数，并且有下界，〓，〓是一个从〓到〓上的映照。

Starting from the concept of conjugate analytic function,this paper expounds on the necessary and sufficient conditions of conjugate analytic of differentiable complex function represented in exponent form.

在共轭解析函数定义基础上，讨论指数形式表示的函数共轭解析的充要条件

In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.

1引言考虑下面的复合极小化问题minF=hf(x，(1 。1)二〔丫其中f：R"一R"是局部Lipschitz函数，h：Rn一R是下有界的连续可微的凸函数。对于问题(l 。1)，QIL、袁亚湘和孙文瑜等z1一

Based on such function, a new differentiable merit function is constructed. A damped Newton-type algorithm is then present.

在此价值函数的基础上，本文给出了一个阻尼牛顿类算法。

As we all know, if the two partial derivations of binary function are continuous ,the function is differentiable.

摘要众所周知，当二元函数的两个偏导数都连续时，函数可微。

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

Here the treatment function adopts a continuous and differentiable function which can describe the effect of the infected being delayed for treatment when the number of infected individuals is getting larger and the medical condition is limited.

其中的治疗项采用了一个连续可微的函数，描述了在医疗条件有限的情况下患病者的治疗被耽误的影响和患病个体的数目增大所引起的饱和效应。

We use B-spline smoothing technique to smooth the characteristic function without changing the integral quantity and get a differentiable weight function.

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。

Based on a common Lyapunov function and a piecewise differentiable Lyapunov function respectively, two kinds of new H∞ output feedback fuzzy control design methods are developed.

分别基于一个共同的李亚普诺夫方程和一个分段微分的李亚普诺夫方程，给出了两种H∞输出反馈模糊控制的新设计方法。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。