Newton developed mathematical concepts and techniques that are fundamental to modern calculus. Leibniz developed closely analogous concepts and techniques. It has traditionally been thought that these discoveries were independent. 这是以前的结论,两个人是独立的想出了两个相似的概念。 Researchers have, however, recently discovered notes of Leibniz’ that discuss one of Newton’s books on mathematics. however是转则词,意思是后面要说的是【不independent】。 Several scholars have argued that since the book includes a presentation of Newton’s calculus concepts and techniques, and since the notes were written before Leibniz’ own development of calculus concepts and techniques, it is virtually certain that the traditional view is false. 这里有两个since从句并列,主句就是说traditional view is false。所以是用来说明作者观点【不independent】。 A more cautious conclusion than this is called for, however. 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.一个更加的谨慎的说法,对于上一句句子的改写,写的稍微缓和一些。意思还是说L是参考了牛顿的书,不是独立想出来的。所以是在重复作者的观点. |