查询词典 newton

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

He made codes like Justinian, he dictated like Caesar, his conversation was mingled with the lightning-flash of Pascal, with the thunderclap of Tacitus, he made history and he wrote it, his bulletins are Iliads, he combined the cipher of Newton with the metaphor of Mahomet, he left behind him in the East words as great as the pyramids, at Tilsit he taught Emperors majesty, at the Academy of Sciences he replied to Laplace, in the Council of State be held his own against Merlin, he gave a soul to the geometry of the first, and to the chicanery of the last, he was a legist with the attorneys and sidereal with the astronomers; like Cromwell blowing out one of two candles, he went to the Temple to bargain for a curtain tassel; he saw everything; he knew everything; which did not prevent him from laughing good-naturedly beside the cradle of his little child; and all at once, frightened Europe lent an ear, armies put themselves in motion, parks of artillery rumbled, pontoons stretched over the rivers, clouds of cavalry galloped in the storm, cries, trumpets, a trembling of thrones in every direction, the frontiers of kingdoms oscillated on the map, the sound of a superhuman sword was heard, as it was drawn from its sheath; they beheld him, him, rise erect on the horizon with a blazing brand in his hand, and a glow in his eyes, unfolding amid the thunder, his two wings, the grand army and the old guard, and he was the archangel of war!

他象查士丁尼那样制定法典，象恺撒那样独理万机，他的谈吐兼有帕斯加尔的闪电和塔西佗的雷霆，他创造历史，也写历史，他的战报是诗篇，他把牛顿的数字和穆罕默德的妙喻糅合在一起，他在东方留下了象金字塔那样高大的训谕；他在提尔西特把朝仪教给各国帝王，他在科学院里和拉普拉斯争鸣，他在国务会议上和梅尔兰辩论，他经心整饬纪律，悉力排难解纷，他象检察官一样了解法律，象天文学家一样了解天文；象克伦威尔吹灭两支蜡烛中的一支那样，他也到大庙①去为一粒窗帘珠子讨价还价；他见到一切，他知道一切，这并不妨碍他伏在他小儿子的摇篮上笑得象个天真烂漫的人；突然，惊骇中的欧洲屏息细听，大军源源开拔了，炮队纷纷滚动了，长江大河上建起了浮桥，狂风中驰聘着漫山遍野的骑兵，叫喊声，号角声，所有的宝座全震动了，所有的王国的国境线全在地图上摇晃起来了，人们听到一把超人的宝剑的出鞘声，人们看见他屹立在天边，手里烈焰飞腾，眼里光芒四射，霹雳一声，展开了他的两翼，大军和老羽林军，威猛天神也不过如此！

It was the achievement of Newton and Leibnitz to make the last statement precise in a mathematical sense, thereby solving both problems.

这就是牛顿和莱布尼兹的成就，他们对于上述的问题给出精确的数学意义，进而解决了问题。

And the two discoverers developed distinctively baroque schemes in other fields – Newton in his universally active laws of gravitation, Leibnitz in the monad's internal relationships to stress the baroque origin of the integral calculus.

这两个发现者发展特色，在其他领域——巴洛克方案在普遍的活跃，艾萨克·牛顿万有引力定律，Leibnitz的内部关系，在monad压力来源的巴洛克式的积分。

An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations. The subspace iterative method is used for the solution of natural frequencies and vibration modes for the free vibration of beam structures.

本研究推导元素的节点惯性力时，先将元素扰动位移表示成当前固定元素座标的扰动位移和旋转之函数，故可直接求得元素的节点惯性力，元素的一致性质量矩阵可由元素节点的惯性力对元素节点的加速度微分求得。

Newton was born on Christmas Day 1642, in the rural English county of Lincolnshire.

凡是上过学的人大概都知道这个典故：艾萨克·牛顿在看到从树上掉下的苹果后，就创立了著名的万有引力学说。

In 1666,Isaac newton was struggled overhead by a fallen apple as it shown in the garden of Lincolnshire.

中文是：接下来这篇文章是亨利报道的。1966年，牛顿在林肯郡的一个花园中被一个苹果砸中头部。

In 1666,Isaac newton was struggled with the head by a fallen apple as it grown in the garden of Lincolnshire.

在1666年，牛顿被一个林肯郡花园里长熟的掉下来的苹果砸到了。

In Chapter 4, using the formula A_k(2) given by Wei, we propose a new A_k(2)-SQP method, which develepments the using of the quasi-Newton formula BFGS, and combines with SQP method to solve constrained optimization problems, the corresponding algorithm possesses global convergence and supei linear convergence property.

第四章，利用韦提出的A_κ(2)公式，我们给出了一种A_κ(2)-SQP方法，该方法把拟牛顿修正公式BFGS进行了推广，并结合SQP方法去解约束优化问题，相应的算法具有全局收敛性和超线性收敛性。

For the original infinite dimensional problem, if the inexact quasi-newton method with Broyden updating can not converge quickly , for example, it can not attain super linear convergence rate , then when the discretization is becoming finer and finer , we can not get fast convergence rate for the corresponding finite dimensional problem.

对于原来的无限维问题，如果使用不精确Broyden方法不能得到较快的收敛速度，比如超线性收敛性，那么当离散化逐渐加细的时候，对于所得的有限维问题使用不精确Broyden方法也不可能得到较快的收敛速度，所以有必要在无穷维空间上对收敛性问题加以分析，从而为不精确拟牛顿法结合投影法求解算子方程做好准备。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。