查询词典 improper differentiability

Physics majors learn the differential and integral calculus in the style of Cauchy and Weierstrass, with ε–δ definitions of continuity and differentiability.

这个定理还是非常有用的，下面就来演示一下。证明存在a，b两个无理数，使 a b 为有理数。是无理数，现在考察数X

And using the embedding theorem, we get the characterizations ofmeasurability, differentiability and integrability of fuzzy n - cell number valued mappings.

并利用此嵌入定理给出了模糊n-方体数值函数的可测性，可导性和可积性的刻划。

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

These constructional methods can be used to treat many problems, the numerical results show that the given interval extension has smaller excessive width relative to the range of the functions over a domain. For univariate differentiable functions, the definition of interval slope is extended from the first order to high order according to their differentiability, and iterative formula of high-order interval slope computation is also developed.

对多元函数，在不要求函数的可微性及有关Lipschitz常数的条件下，给出了分量函数区间展开的斜率算术运算规则；利用函数局部凸或凹的运算特点，通过递归计算建立了多元函数区间扩张的构造方法。

W ithout assuming the boundedness, monotonicity, differentiability and Lipschitz continuity of the active functions, an algebraic criterion to ensure existence and globally exponential stability of periodic solutions was obtained.

在 放松该类神经网络激活函数的有界性、单调递增性、可微性及Lipschitz连续等条件下，得到了该类神经网络周期解的存在性与全局指数稳定的代数判据。

Then the method make every subdomains lubricous and conquer non-differentiability of the problems.2. Through introducing the continuous conditions on internal boundary, a distributed optimal control model is established.

通过区域分解及在内边界上引入连续性条件，将分片光滑分布参数系统的抛物型方程定解问题转化为一个最优控制模型。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

All the Tikhonov regularization theory, regularization operator and regularization parameter are given a complete analysis and discussion. The differentiability of Morozov discrepancy equation is investigated. And the image noise, as the knowledge a prior, is estimated and the equation is modified.

图像复原计算方法的研究是一个反卷积的病态性求解问题，本文用反问题正则解的基本理论，对经典的图像复原方法依正则化思想进行了细致的分析与研究。

Based on the sizeof the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence.

摘要通过函数的下卷积函数列的逼近方法，在变分原理中从扰动最小值点集的"大小"入手，研究了下半连续函数的可微性。

G■teaux differentiability of seminorm and completeness of seminorm space;2. It gives a new seminorm to solve the problem in motivating transient signals robust H∞control to persistent signals.

通过引入新的范数解决了瞬时信号鲁棒H∞控制理论向持续信号鲁棒H∞控制推广过程中A 半范定义的信号空间是非线性空间问题。

I can do simple painting, carpentry and plumbing.

我能做简单的油漆、木工和修水管等工作。

The motivations, notations and outline of this work are also given in this chapter.

从这个意义上讲，这些时滞是无害的。然后用实例说明这三个定理的应用和互不包含性。