查询词典 differentiable function

Theorem Let be differentiable at. Then has a directional derivative at in any direction and

定理 如果函数在点可微分，那么函数在该点沿任一方向的方向导数存在，且有

The left ventricular meets the optimal efficiency principle at systolic state,we utilize the differ-ential geometry and differentiable dynamics to analyse the model and inverts it to the linear space for optimal control theory solution of optimal efficiency of ejective blood-flow which meets the physiology of optimal efficiency.

结果 在左心室的收缩最优效率原则时候，可应用微分几何与微分动力学数学分析法，将模型转换为线性空间下最优控制理论求得射血流量。

We proved the nonlinear ergodic theorem for semitopological semigroups of asymptotically nonexpansive mappings in the uniformly convex Banach space with the Frechet differentiable norm. We also point out that some key conditions in [23] [24] are unnecessary.

本文第一章主要将文[23][24]中的结论推广到殆轨道的情形，这不仅回答了Lau-Takahashi[24］中的问题，而且指出了文［23］［24]中的某些关键条件是不必要的。

Li 101 proved the nonlinear ergodic theorem for semitopological semigroups of Lipschitzian mappings in the uniformly convex Banach space with the Frechet differentiable norm without using the concept of invariant mean and submean. In Chapter 1, we extend the results in [23 [24] to the case of almost-orbit.

Li［10］避开了不变平均及不变子平均的概念，在具Frechet可微范数的一致凸Banach空间中，给出了一般拓扑半群上渐近非扩张半群的遍历压缩定理。

Under the G-differentiable ,using the alternative theorem of generalized subconvexlike map and other some conclusions in locally-convex Hausdorff topological spaces, the optimality conditions of vector extremum problems with set constraint are established.

在局部凸Hausdorff拓扑空间中，在G-可微的意义下，运用广义次似凸映射的择一定理和其他一些结论，建立了带集合约束的向量极值问题的最优性条件。

Using Bruck抯 Lemma [2], Passty [7] extended to the results of [4,5] to a uniformly convex Banach space with a Frechet differentiable norm.

随后，Passty［7］又利用Bruck引理[2]将[4][5]的结果推广到具有范数Frechet可微的一致凸Banach空间中。

Using the method of approximating the Lipschitz functions by the convex functions, we give a sufficient condition for the set where Lipschitz functions on a Hilbert space are Frechet differentiable is a residual set.

我们利用Lipschitz函数空间中凸函数的逼近性质来分析Lipschitz函数的微分性质，得到Hilbert空间上Lipschitz函数的Frechet可微点集是剩余集的一个充分条件，以标题"Lipschitz函数与凸函数之间的一些联系"在中国科学杂志上发表。

In addition, in order to extend existing methods on bounded domains to unbounded domains, a simple practical approach is proposed by higher continuous differentiable homeomorphism.

另外，利用高阶连续可微的同胚映射，给出了一种实用的转化方法，将现有的有界域上的区间算法推广到无界域上。

We can transform a class of nonlinear large-scale systems into linear large-scale systems,which can be treated relatively easily,through so-called decentralized differentiable homeomorphism.

按照这个方法，可将难度较大的一类非线性大系统分散控制器的设计转化为易于处理的线性大系统分散控制器的设计。

The presence of an end-point constraint makes the value functions neither be continuously differentiable, nor be finite valued on the interior of its effective domain.

终端约束的出现使得最优控制问题的值函数不仅仅不是连续可微的，甚至是不连续的。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。