然而，研究人员最近发现莱布尼茨的笔记中讨论了牛顿的一本数学著作。
Researchers have, however, recently discovered notes of Leibniz' that discuss one of Newton's books on mathematics.
莱布尼茨的笔记仅限于牛顿的书的早期章节，这些章节先于牛顿微积分概念和技巧的介绍。
Leibniz' notes are limited to early sections of Newton's book, sections that precede the ones in which Newton's calculus concepts and techniques are presented.
莱布尼茨否认了这种行为。准确的说，牛顿还未发表过任何关于流数术fluxions的文章，也不太可能同一个短暂停留的客人讨论他的观点。
He denied the charge (probably accurately, since Newton had still not published anything on fluxions, and would hardly have discussed his idea with a transient acquaintance).
在这不久之后，一个德国人，莱布尼茨，来到了伦敦。他与牛顿及许多新成立的英国皇家学会会员把酒言欢。
Shortly after this, Leibnitz, a German, came to London, where he hobnobbed with Newton and many of his contemporaries at the newly formed Royal Society.
可是，牛顿是个有权势的人物，他诋毁莱布尼茨的形象，至少在英国。
But Newton was the more powerful man, and managed to blacken Leibnitz's image comprehensively, at least in England.
演算，由牛顿和莱布尼茨的，是基于对衍生工具和积分的曲线。
Calculus, developed by Newton and Leibniz, is based on derivatives and integrals of curves.
莱布尼茨把牛顿的定义颠倒了过来。
Leibnitz came along and turned Newton's definition upside down.
对牛顿—莱布尼茨公式的条件进行研究，并且给出相关例子。
Conditions of Newton-leibniz formula are studied, and corresponding examples are given.
看见没，这就是关于物质的另一种不同看法，这种理论不需要依赖一个无法定义的“进步”概念。其提出者莱布尼茨已经过世了三百年，他要是运气好点儿完全可以超越牛顿。
There it is: an alternative view of matter that does not hinge on an undefined notion of "progress", from a man who could out-fox Isaac Newton on a good day and died three hundred years ago.
应该指出，这是和历史上任何一项重大理论的完成都要经历一段时间一样，牛顿和莱布尼茨的工作也都是很不完善的。
It should be noted that this is, and the history of the completion of any of the major theories go through a period of time, like the work of Newton and Leibniz are also far from perfect.
牛顿研究微积分着重于从运动学来考虑，莱布尼茨却是侧重于几何学来考虑的。
Newton's study focused on the calculus from the kinematic considerations, Leibniz is focused on the geometry to be considered.
牛顿-莱布尼茨公式、高斯公式、格林公式和斯托克斯公式是积分学中非常重要的公式，相互间的联系非常紧密。
Newton-Leibniz's, Green's, Gauss's and Stokes's formula are important for integral theory and there is close relation each other.
牛顿是第一个适用于一般的物理演算和莱布尼茨大部分发达国家中使用的符号演算今天。
Newton was the first to apply calculus to general physics and Leibniz developed much of the notation used in calculus today.
莱布尼茨和牛顿通常都记一起发明了微积分。
Leibniz and Newton are usually both credited with the invention of calculus.
莱布尼茨和牛顿通常都记一起发明了微积分。
Leibniz and Newton are usually both credited with the invention of calculus.
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