查询词典 modified Newton method

The penalty function method and modified Newton iteration method are adopted to solve the constrained nonlinear optimization problem.

基于截面特征的反求工程CAD建模方法已成功应用于基于特征的反求工程CAD建模系统RE-SOFT中，结合一个反求工程建模实例论证了该方法的可行性和适用性。

The new model is the same as that of traditional distillation process in expression style, and it is solved by an algorithm which combines the relaxation method with the modified Newton Raphson method.

引入变换变量的概念，将发生平衡反应的反应精馏过程模型变换为普通精馏过程模型，减少了迭代变量，避免了反应量的计算，并易于采用普通精馏的计算方法。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章是预备知识，介绍了与求解互补问题有关的一些定义以及相关的定理和推论；第三章是本文的重点，提出了求解互补问题的一种修正的光滑Newton算法，从理论上对算法的全局收敛性了证明；第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中，同样证明了算法的全局收敛性。

An algorithm based on AD technique for the constrained optimization problems of device model parameter extraction is presented, which combines the modified Newton method with AD technique and uses the Rockafellar multiplier method to treat the constraint conditions.

提出了一个基于AD技术的有约束的器件模型参数提取算法，将AD技术与一种改进Newton法相融合，并利用Rockafellar的改进乘子法解决了约束条件的处理。

Till now, there are a lot of generators such as the classical Fibonacci method, mid-square method, linear congruential method, feedback shift register method and combined method; the recent nonlinear congruential method, decimal fraction method, add-with-carry and substract-with-borrow methods, generalized feedback shift register method and MT method, and so on.

至今关于随机数发生器有很多的理论和方法，其中除了传统的Fibonacci法、平方取中法、线性同余法、位移寄存器法和组合方法；最近还有非线性同余法、取小数法、进位加和错位减法、广义反馈位移寄存器法和MT法等等。

On one side, it criticizes the traditional way of value view education in our country including the critique to dualistic-opposition method, the rejection to formalism method and the sublating to indoctrination method. On the other side, it argues the application of value view education including both drawing lessons from traditional persuading methods, model demonstration method, edification method, self-cultivation method and applying to the dilemmatic story method, character-acting method, value-clarifying method.

最后，对价值观教育方法的运用进行了分析，一方面，对我国传统价值观教育方法进行了检讨，它包括对非此即彼二元对立方法的批判，形式主义方法的拒斥和灌输方法的扬弃；另一方面，论述了我国价值观教育方法的运用，它既包括对传统的说服教育法、榜样示范法、陶冶教育法和自我修养法的借鉴，又包括对两难故事法、角色扮演法和价值澄清法等新方法的运用。

Comparing withHayek's theory on society method, I believe constitution litigationmechanism must considering the following conclusion in modelingconstitutional method: first, the acquiring of constitutional method isusually effects system vicissitudes. Although constitutional arbitramentcan form definite constitutional method, it can't achieve perduringsubstantial results level of method; secondly, constitutional method isformed virtually by the mixture of two kind of potence, and one is socialpotence, the other is governmental potence. The constitutional method'srationality in logic structure rests directly with the wrestling process ofconstitutional logic and social process. Constitutional method is more akind of simulative conformation of natural logic and social logic, itforms by the wrestling of government, public, legislature andconstitution judging organ. Fourthly, the maintenance of constitutionalmethod depends on the inner power sustained by faith and exteriorpower coming from the background of compulsion. Fifthly,constitutional method itself is a dynamic structure, and it's realizingquomodo and vindicating means is being in vicissitude, however, it canonly provide condition and inspiritment.

对照哈耶克的社会秩序理论，笔者认为，宪法诉讼机制在型构宪政秩序时必然要照顾到以下结论：其一，宪政秩序的取得，往往是一个制度自然变迁的结果，宪法裁决虽然也可能在短期内形成一定的宪法秩序，不过却无法强行地达到一个较大范围内持久的秩序实效水准；其二，宪政秩序实际上是由两种力量交合而成的，一是社会力量，一是政府力量，宪政秩序的逻辑结构的合理性直接取决于宪法逻辑和社会逻辑之间的博弈过程；其三，宪政秩序更多的是一种对自然逻辑和社会逻辑的模拟形态，是经由政府、公众、立法机关与宪法裁判机构的合作博弈而形成的，宪法诉讼的功用至多在于提供博弈规则，以实现纳什均衡；其四，宪政秩序的维护主要依靠来自信念支持的内部力量与来自强制背景的外部力量；其五，宪政秩序本身是一个动态的、常新的结构，其实现方式与维护手段也处于不断变迁之中，但无论如何，宪法诉讼机制所能提供的只是制约与激励两种。

For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发，本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台，实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能，使用复合文档技术和流压缩技术进行数据的存储，使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息，使用自定义哈希函数来提高运行速度，实验证明，该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求；通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间，加载在该空间的数据可以具有较好的鲁棒性，基于此，本文设计了一种利用汉字结构加载水印的文本数字水印方法，并使用汉字数学表达式平台将其实现；由于水印嵌入算法对于文本数字水印的鲁棒性至关重要，本文充分利用汉字数学表达式理论的优点，设计了一种文本分层的方法，并使用汉字数学表达式平台将其实现，使文本成为一个立体的空间，使嵌入在其中的数据具有更好的鲁棒性；最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上，结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法，经实验证明，该方法有良好的鲁棒性和较好的隐蔽性。

This paper reviews and summarizes the progress in this field as follows: the mathematical model and the difficulty of the analytical solutions is introduced; discusses the latest progress of the numerical solutions is discussed; the finite difference method, the Godunov method, the Boltzmann method, and the KFVS method of one-dimensional dam-break problem are introduced; the TVD method, the discontinuous finite element method, the finite volume method and characteristic method of two-dimensional dam-break problem are discussed; the applicability, the advantage and the disadvantage of each method are analyzed; and the progress in the numerical calculations of flow of fluid with free surface are presented.

回顾和总结了国内外对溃坝水流演进问题的研究进展：介绍了溃坝水流的数学模型及解析解法存在的困难，进而讨论了数值解法的最新进展；论述了求解溃坝水流一维问题的有限差分法、近似黎曼解的Godunov格式法、Boltzmann法、KFVS法和二维问题的TVD格式法、间断有限元法、有限体积法、特征线法，并分析了各种方法的适用范围和优缺点，及讨论了限制函数的使用；介绍了利用自由水面追踪方法计算溃坝水流的研究进展，并根据目前存在的不足和实际工程的需要，提出了进一步研究的方向和发展趋势。

In mathematics, Newton established "the Newton binomial theorem", and nearly simultaneously established the calculus study with Leibniz.

在数学上，牛顿创立了"牛顿二项式定理"，并和莱布尼兹几乎同时创立了微积分学。

The system can be widely used in belt weighing and batching process control,etc.

介绍了基于智能模糊控制的嵌入式配料系统的设计方法，对模糊PID控制过程和系统调零作了重点的讨论，同时给出了PID控制的程序流程图和系统定长调零子程序。

"I dunno," she answered,"but if you show me aroun', I'll recognize it from the lighthouse just outside the porthole."

"我不知道，"她回答说，"如果你能带我转转，我能认出来的，因为灯塔就在舷窗外。"