查询词典 continuously differentiable function

In this paper, we give a generic condition of differentiable function s 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。

Theorem 1 Suppose the function is differentiable at,then its partial derivative at exist, and the total differential of

定理1如果函数在点可微分，则该函数在点的偏导数必定存在，且函数在点的全微分为。

If all of the partial derivations exist and only one of them is not continuous,the multivariate function is differentiable.

最后结合实例进行了讨论，结果表明，所有偏导数存在并不蕴含可微，函数可微时可以没有连续的偏导数。

First of all, it is proved that if one partial derivation is continuous,the other partial derivation exists,the binary function is differentiable.

首先证明了当二元函数的一个偏导数存在，另一个偏导数连续时，函数可微。

In order to avoid the Maratos effect, the merit functions used are approximations to Fletchers differentiable exact penalty function. Global convergence is proved on some conditions, and some numerical results are given .

为避免Maratos效应，此方法采用Fletcher的光滑精确罚函数的逼近形式作为价值函数，在一定条件下证明了算法的全局收敛性并且给出数值结果。

For functions of them ,the delta method implies the following result, proved in Section 14.1.4: Let denote a differentiable function of , with sample value for a multinomial sample.

为作用的他们，三角洲方法暗示以下结果，被证明在部分14.1.4：让表示一个能区分的作用，以样品价值为一个多项式样品。

This function is infinite-order differentiable with respect to wavelet coefficient, and can adaptively shrink wavelet coefficient in the neighborhood of the threshold.

其为收缩因子函数与小波系数的乘积，对小波系数无穷可导、可在阈值邻域内对小波系数自适应收缩。

Based on this, to avoid using the Green′s formula on infinite domain, an infinitely differentiable function with compact subset is constructed and some important results to a especial solution of the inhomogeneous field equation are obtained.

在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS .

文章介绍一类可微的分形插值函数，探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件，在此基础上给出样条分形插值函数的定义，并讨论它所具有的部分收敛性质。

The cause of computation errors is discu ssed in this paper.In order to correct it, a new model of differentiable nonsin gular strength envelope function is proposed.

本文详细地分析了产生误差的原因，在此基础上，建立了光滑强度包络线计算模型，较好地解决了这一问题。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。