因此大多数我们会遇到的函数都是可微的。
我们说一个函数是可微的，如果这些偏导数存在。
And, we say that a function is differentiable if these things exist.
也就是，向量场是连续的，且在曲面s上处处可微。
That means you need your vector field to be continuous and differentiable everywhere on the surface s.
你们会明白为什么的，它在R上有定义，且是可微的。
每个多项式都是可微的，而每个有理函数也是如此。
Every polynomial is differentiable, and so is every rational.
最后指出了在一维情形下方向可微与拟可微是等价的。
Finally, it is pointed out that the directional differentiability is equivalent to the quaSi-differentiability in one-dimensional space.
证明了该过程的局部时的存在性、联合连续性和可微性。
The existence, joint continuity and differential of local times of this process are shown.
本文引进了连续可微和均匀连续可微两个新的可微性概念。
Two new notions of continuous differentiability and uniformly continuous differentiability are introduced in this paper.
最终讲明白连续性和可微性之间的区别的例子是由他给出的。
The example that ultimately drove home the distinction between continuity and differentiability was given by him.
多元函数的连续性，偏导数，方向导数及可微性之间的关系。
The Relation between the Continuity, the Partial Derivatives, the Directional Derivatives and the Differentiability of a Function.
本文就二次可微函数类给出一类求大范围极值的区间迭代方法。
In this paper an interval iterative method is given for seeking the global maximum of a second order differentiable function.
目的研究锥扰动集值映射向量优化问题锥有效解的锥次可微性。
Aim to study the cone subdifferential of the cone efficient solution sets for set valued vector optimization problem with perturbed order.
同已有的结果相比，我们不要求函数有界，可微或严格增加等条件。
In our results, we do not require activation functions to be bounded, differentiable or strictly increasing.
讨论了一类插值有理函数对可微函数的逼近，得到了相应的逼近阶。
The approximation of differentiable functions by a kind of interpolatory rational functions is discussed, and the corresponding order of approximation is obtained.
可微非线性规划问题的线性化过程可以自然地推广到拟可微的情形。
The linearized procedure for differentiable nonlinear programming problems can be naturally generalized to the quasi differential case.
本文完全用初等的方法证明了完全集上连续可微函数都有可微开拓。
By very elementary method, it is proved that every continuous differentiable function defined in a perfect set has differentiable extension.
给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。
This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system.
摘要把无穷可微函数类在角形闭区域上的唯一性结果推广到了多维情形。
The uniqueness theorem of generalized quasi-analyticity of the infinitely differentiable functions in some closed angular domain is extehded to the functions of several complex variables.
对此，阐明了一些有效的建议，并给出了无处可微连续函数的图示结果。
Some Suggestions for executing this method are presented, graphical results of nowhere differentiable continuous function are shown.
该方法对目标函数无连续、可微等要求，能较快地收敛到全局最优权系数。
Usually, the algorithm can quickly converge to the global optimum weight coefficients.
得到了特征函数、条件特征函数的一致可微性和条件特征函数的反演公式。
The uniform differentiability of characteristic function and conditional characteristic function and reversion formula of conditional eigenfunction are obtained in this paper.
而遗传算法不需要待优化函数具有连续可微性，并具有很强的通用性和隐含并行性。
While the GA does not require that the optimized functions possess continuum differentiability, GA is proposed to optimize the parameters of fuzzy controller.
作为应用，证明了任意有界变差函数都与某可微函数在除过测度任意小的集合外重合。
It is also proved as application that any bounded variation function can be seen as a differentiable function beside a set of arbitrary small measure.
本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。
The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.
摘要本文将关于角形闭区域中无穷可微函数类的广义准解析性的结果推广到了多维情形。
In this paper, we extend the theorem on generalized quasi-analyticity of the infinitely differentiable functions in the closed angular domain to the functions of several complex variables.
若其初值以指数方式衰退，且空间可微，则此强解在之后的时间内也将以指数方式衰退。
The decay rate of the corresponding strong solution at infinity is also given for some kinds of initial data with exponential decay.
若其初值以指数方式衰退，且空间可微，则此强解在之后的时间内也将以指数方式衰退。
The decay rate of the corresponding strong solution at infinity is also given for some kinds of initial data with exponential decay.
应用推荐