本文将建立这类过程的不可微模及有关的极限定理。
The modulus of non-differentiability of this kind of process is established.
提出一种基于不可微问题优化的四面体网格光顺算法。
A tetrahedral mesh smoothing algorithm based on non-smooth problem optimization is presented.
依据精确不可微罚函数法，构建个体适应度评价函数；
The fitness function is given based on undifferentiable publishing function.
借助不可微精确罚函数把约束问题转化为单个无约束问题来处理。
Nondifferentiable exact penalty functions are used to transform a constrained optimization problem into a single unconstrained optimization problem.
由于粗神经网络的误差传递函数不可微，所以采用遗传算法来训练粗神经网络。
Because the error transfer function of rough neural network is not differentiable, genetic algorithms are applied for training the network.
针对一类不可微优化问题，本文提出了一个新的算法—极大熵微粒群混合算法。
To solve a class of non-differentiable optimization problems, this paper proposed a new method called maximum-entropy particles swarm optimization algorithm.
极大极小问题是一类不可微优化问题，熵函数法是求解这类问题的一种有效算法。
Minimax problem is a sort of non-differentiable optimization problem and the entropy function method provides a efficient approach to solve such kind of problems.
加工中，磨块的运动轨迹是不规则的，是处处连续但处处不可微的，具有精细结构以及统计的自相似性。
In the finishing, the movement of the grinder is irregular and uninterrupted but non-differential, it has fine structure and the statistical self-comparability.
本文提出了一种解非线性不可微方程的迭代方法，分析了其收敛性并给出了误差估计，取得了很好的效果。
In this paper, a method is presented for solving non differentiable equations in Banach space. At the same time, we analysis its convergence and get error estimates.
其独特的性能已在众多领域内获得了成功的应用，着重用于解决复杂的、大规模的、非线性、不可微的优化问题。
Therefore, the evolutionary algorithms have been successfully applied to various fields, especially to some complex, large scale, nonlinear and non-differentiable optimization problems.
由于优化问题可能是不连续的、不可微的甚或是没有函数解析式的，传统经典的无约束优化方法在应用时会受到限制。
Because the optimization problem may be discontinuous and non-differentiable even has no objective function, the traditional optimization methods are unable to tackle with it.
接着，利用函数的上次微分构造了不可微向量优化问题（VP）的广义对偶模型，并且在适当的弱凸性条件下建立了弱对偶定理。
Finally, the generalized dual model of the problem (VP) is presented with the help of upper subdifferential of function, and a weak duality theorem is given.
现在，新技术使识别和服务目标微市场变得更容易、更快捷、更便宜；这在过去是不可能实现的，或者是代价非常昂贵的。
Now, new technology makes it easier, faster, and cheaper to identify and serve targeted micro-markets in ways that were physically impossible or prohibitively expensive in the past.
位于九州其他地区的汽车制造商和微芯片公司也不可能迁至该处。
Carmakers and microchip companies that have set up elsewhere in Kyushu cannot be persuaded to come.
测试仪的响应时间应该非常短以避免某些绝缘部件的微晶化现象或其它的不可逆破坏。
The detector's response time should however be very short to avoid micro-carbonation phenomena on certain insulators or the definitive destruction of others.
更加势不可挡的是发布在博客，微博和脸谱各类社交网站上夸大不实的报道。
And it does not stop a story—or perhaps exaggerated or incorrect versions of it—appearing on blogs, Twitter and Facebook.
企业文化不可避免受到国家或地区文化、微文化影响(Hampde - turner 1994： 12)。
Corporate culture is invariably influenced by natural or regional cultures, or macro-cultures (Hampden-Turner 1994:12).
“这不可能是真的，”新浪微博博主狐狸大叔表示，“反正我是不信。”
“It couldn’t be true, ” said a micro blogger named Uncle Fox on Sina Weibo. “I just don’t buy it.”
阿玛托说，尽管诸如方铅矿一类的大部分含铅化合物都是不可容的，像羟氯铅矿这样的化合物还是“可以微溶于水，并产生Pb 2 +(二价铅离子)”。
Amatore says that although most lead compounds, like galena, are insoluble, compounds like laurionite 'can dissolve a little bit to produce Pb2 +.'
他补充说，有尚不可靠的证据支持在一个肿瘤中改变微环境的结果可以导致更高或较小的侵袭潜力的想法。
There is anecdotal evidence, he added, to support the idea that changes to the microenvironment result in a tumor with more or less invasive potential.
以至于到了最后一个曾被遗忘了的重要角色随处可见：结构“微”调——没有了它，目前的增长率不可能持续。
And finally there is a crucial missing ingredient just about everywhere: "micro" structural reform, without which current growth rates are unlikely to last.
但对于实际中最广泛存在的硬脆性泥页岩，裂缝和微裂缝的存在是普遍性的，而且对泥页岩稳定的影响是不可忽视的。
But with brittle shale that widely exist in the world, fractures and micro-fractures are ubiquitous, its effect on shale stability cannot be neglected.
众所周知，微博是大众传媒时代的一种新的工具，在今天人们生活中，微博的地位越来越不可替代。
As is known to us all, micro-blog is a new tool in the era of mass media, and the status of micro-blog in people's life is more and more can't be replaced today.
众所周知，微博是大众传媒时代的一种新的工具，在今天人们生活中，微博的地位越来越不可替代。
As is known to us all, micro-blog is a new tool in the era of mass media, and the status of micro-blog in people's life is more and more can't be replaced today.
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