查询词典 totally differentiable function

Firstly, we prove that if we select nodes properly, and let the distance between these nodes sufficiently small, cubic polynomial spline can approximate a continuously differentiable function, which with continuous derivatives of second order and discontinuity of the first kind in the derivatives of fourth order, to any desirable accuracy. This result lays a theoretical foundation for representing trajectories by splines and double orthogonal basis.

一是证明了适当选取节点并使节点距充分小时，三次多项式样条可以逼近具有二次连续导数的分段四次连续可微函数到足够的精度，这一结论为用样条和双正交基表示弹道打下了理论基础。

In order to correct it, a new model of differentiable nonsin gular strength envelope function is proposed.

通过工程实例计算证明，该计算模型是正确可行的。

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。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。