查询词典 piecewise 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。

The first proposes that any differentiable function defined on an interval has a mean value, at which a tangent line is parallel to the line connecting the endpoints of the function's graph on that interval.

第一个定理指出，定义在一个区间上的任何可微分的函数都有一个平均值，在该点的切线与该区间上函数曲线两端的联机平行。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。