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By using penalty function method, the iteration formulas of optimal design variables are derived, and the calculation procedure of the double iterative method is given in this paper.

利用罚函数外点法导出了优化设计变量的迭代计算公式，并给出了获得最优解的二重迭代法计算步骤。

Using the steepest descent method of Deift-Zhou,we derive uniform asymptotic formulas for the Meixner polynomials.

利用Deift和Zhou的最速下降线法，我们导出一些关于Meixner多项式的一致渐近公式。

Therefore, the typical minimum error integral tuning formulas can be directly used to set the suitable PID controller parameters. Simulation results demonstrate satisfactory performance of the proposed pH control strategy.

模拟结果显示，所提商用型PID控制器之控制策略除具有良好的pH操控性能外，对模式误差亦有相当之韧性。

However, misapplication of area formulas has been a considerable problem.

长方形面积问题较易、三角形面积问题较难，尤其对於三角形，边与高的概念容易混淆。

Statutes and formulas, those mechanical tools of the rational employment or rather misemployment of his natural gifts, are the fetters of an everlasting tutelage.

条例和公式这类他那天分的合理运用、或者不如说误用的机械产物，就是对终古长存的不成熟状态的一副脚梏。

Statutes and formulas, those mechanical tools of therational employment or rather misemployment of his natural gifts,are the fetters of an everlasting tutelage.

条例和公式这类他那天分的合理运用、或者不如说误用的机械产物，就是对终古长存的不成熟状态的一副脚梏。

Naive users of these simple models, however, will reach oversimplified conclusions and offer misleadingly straightforward magic formulas.

外行如果采用这些简单化的模型，会得出过于简单的结论，并因此而提出"神奇的方案，"其实这些方案误国误民。

Use mnemonics such as formulas or rhymes that serve as memory aids .

使用助记符，如公式或文字充当记忆艾滋病。

Algebraic formulas for calculation of modal field with given approximate value of propagation constant are also presented .

导出了用微扰法计算渐变折射率平面波导传播常数各级近似值的代数递推公式，并给出了由传播常数近似值计算模场近似表达式的代数公式。

To the moduli with special forms (such as Mersenne numbers, pseudo-Mersenne numbers, generalized Mersenne numbers), we analysis and study modular arithmetic laws, and obtain the conclusions as follows: for Mersenne numbers and pseudo-Mersenne numbers, we get modular arithmetic formulas, and determine exact expressions of the number of modular addition to generalized Mersenne numbers generated by irreducible monic trinomials and pentanomials.

针对具有特殊形式的模数(如Mersenne数，伪Mersenne数，广义Mersenne数等)，深入分析了其取模运算规律，得到如下结果：对Mersenne数和伪Mersenne数，给出了取模运算转换为模加或模减运算的公式；对模数为任意首一三项式和五项式产生的广义Mersenne数，推导了相应取模运算的复杂度计算解析表达式。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。