查询词典 continuously differentiable function

Systems with hysteresis are nondifferentiable nonlinear systems. So they cannot be studied through control theories and methods used in differentiable nonlinear and linear systems.

具有回滞特性的系统是不可微分的非线性系统，所以不能采用可微分的非线性和线性系统的控制理论和方法来进行研究。

Finally, we mainly investigate the following three problems:(1) The problem of portfolio selection with transaction costs is formulated as a bi-objective programming model, but it is no-differentiable and difficult to solve. With a transformation, we can transform the nondifferentiable nonlinear programming problem to a linear program.

然后主要做了如下三个方面的工作：（1）针对带交易费的最优证券组合选择问题可以表示为一类不可微非线性规划模型，但其求解比较困难的特点，提出了一种新的化简方法，一次变换即可将该类不可微非线性规划模型转化为一个线性规划模型，不仅简化了求解过程，而且还减少了最终的线性规划问题的变量个数。

This course should help students master definitions, basic peoperties and methods of differentiable and Riemannian manifolds, increase their ability from parts to a whole.

通过本课程的学习，希望学生能初步掌握微分流形的基本概念、方法和技巧，学习从局部到整体的数学技巧。

Daubechies'wavelet frame theorem is extended from one dimension to n dimensions. According to this framework, an example of n-dimensional radial wavelet is given. Differing from tensor product multidimensional wavelet, the radial wavelet is inseparable, locally supported and infinitely differentiable. The family, obtained by dilations and translations from this radial wavelet, constitutes a special type of radial wavelet frame in L〓.

Daubechies的框架定理推广到了n维情形，同时，也按照这一理论框架，给出了高维二进径向小波的具体例子，具有下列性质：ψ是无穷次连续可微的；ψ是局部支撑的，支集为‖x‖≤1；ψ含有分式因子，因此对&奇异点&更为敏感；ψ是不可分的，不同于张量积形式的高维小波；ψ是各向同性的。

Chapter one: this chapter discuss mainly about the astringency of several deformed Newtons iterative methods and their application in solution of non-differentiable problems.

第一章：主要讨论了几种变形Newton迭代的收敛性问题，以及它们在求解不可导方程中的应用。

If you want to gain business card printing and membership card making product quality, the smoothness of the paper is ultra-differentiable, which in a business card printing and membership card-making process, the paper surface and the surface contact of blanket, influenced the ink transfer full, clear pictures and texts.

要想获得好的制卡和会员卡制作产品质量，纸张的平滑度是一个必要条件，它在制卡和会员卡制作过程中，纸张表面与着墨的橡皮布表面接触的程度，影响着油墨的转移是否全面，图文是否清晰。

According to the edge detection theory based on modulus maxima of wavelet transform, an infinitely differentiable wavelet with good antisymmetry was deduced to extract the edges of defects from X ray spot weld inspection images.

基于小波模极大值边缘检测原理，推导出一类具有良好反对称性的无限光滑小波并运用于点焊缺陷的边缘提取。实验表明，该方法能有效地提取缺陷边缘，并能获得较好的效果，从而为小波理论在工业 X射线无损检测中的应用作了初步探

According to the edge detection theory based on modulus maxima of wavelet transform, an infinitely differentiable wavelet with good antisymmetry was deduced to extract the edges of defects from X ray spot weld inspection images.

基于小波模极大值边缘检测原理，推导出一类具有良好反对称性的无限光滑小波并运用于点焊缺陷的边缘提取。

Results also reveal that the contact angle declines continuously with the increase of addition of carbides,and simultaneously the contact angle declines continuously with the increase of the bond energy of ceramic phases.

研究还发现，碳化物的添加使体系接触角持续下降，同时接触角随键能的增加持续下降。

The stock market divide two kinds of, a kind of call"bull market", point the stock market that the stock price ups continuously;Another a kind of call"bear City", point the stock market that the stock price declines continuously.

股市分两种，一种叫"牛市"，指股票价格持续上扬的股票市场；另一种叫"熊市"，指股价不断下跌的股票市场。

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。