The most complete work on finite and infinitesimal analysis was written in 1748 by Maria Gaetana Agnesi.
玛丽亚·盖特纳·阿涅西于1748年写出了关于有限和无穷小分析的最完整的作品。
Limit — Reasonability of Infinitesimal Calculus.
极限——微积分的合理性。
A a millionth of an inch is an infinitesimal length.
一英寸的百万分之一是极小的长度。
And our lives are just the fleeting infinitesimal motes.
而我们的生命，不过是转瞬即逝的一星微尘。
The chances that the company will have any problems are infinitesimal.
那家公司会遇到什么问题的可能性是微乎其微的。
Newton says he has abandoned the infinitesimal or infinitely small quantity.
牛顿说他已放弃了微元或无穷小量。
In the wired portion of its journey, a file of such infinitesimal size is inconsequential.
在其有线之旅中，如此微不足道的文件是无关紧要的。
In this paper we discuss actions of Lie groupoids and their infinitesimal actions on manifolds.
讨论了李群胚在流形上的作用及其无穷小作用。
A proton is an infinitesimal part of an atom, which is itself of course an insubstantial thing.
一个质子是一个原子很小的一部分，它自己当然不是一个实在的东西。
Then two theorems are given for judging a product of infinite infinitesimals being an infinitesimal.
然后给出判定无穷多个无穷小之积是无穷小的两个定理。
She spoke with that gentle infinitesimal inflexion of mockery which descended to her from her mother.
她说话时，带着她母亲传给她的那种温柔细致的嘲笑语调。
Getting limit with substitution of equivalence infinitesimal is a common, convenient and efficient way.
用等价无穷小量替换求极限是一种常用、方便、有效的方法。
The "standard model" of physics views particles as infinitesimal points, some of which carry basic forces.
物理学将粒子视为无限小的这个“标准模式”观点，有些是带有基本力量的。
If it were, the whole world would apply for it, and your chances of getting the job would be infinitesimal.
如果确实存在的话，全世界都会去应聘，那么你得到该职位的机会就是微乎其微了。
They could refuse to light up for no apparent reason, because of some infinitesimal rupture in the filament.
由于灯丝里极其微小的破裂，它们可以没有明显理由地拒绝点亮。
An infinitesimal amount, to look at the derivative. Once I do this, how many molecules are in this higher level now?
一个无限小的量，看看能得到什么，一旦我这样做，现在有多少分子能到达这个较高的能级？
New and strange objects have also been found at this infinitesimal level--the strangest of all being the quarks .
在极细微的层次里，同样发现了奇妙的新客体，而最奇妙的是夸克。
And roam it does, from the infinitesimal to the infinite, from the subatomic realm to the far reaches of the universe.
他的智力确实在漫游：从无穷小到无穷大，从亚原子王国到宇宙宽广的领域。
Because the chances of surviving a first category crash landing are so infinitesimal, they're practically nonexistent!
因为在第一类迫降[1]中幸存的几率是极其微小的，实际上就是不可能的。
The definition and characteristics of the reaction and diffusion process were proven depended on infinitesimal operators.
而反应扩散过程的定义和性质也依赖于其无穷小算子的性质。
This approach fell out of favor in the 19th century because it was difficult to make the notion of an infinitesimal precise.
这种做法失宠于19世纪，因为这是很难的概念微不足道精确。
Infinitesimal details become artistic expression, a translucent tip of a fin becomes like fine gossamer of haute couture fabric.
微妙的细节成为艺术的表达，鱼鳍的透明末梢就似奢华的薄纱。
This paper introduces how to make use of the replacement of same value infinitesimal in calculating limit of the undecided type.
本文介绍了如何利用无穷小等价代换求未定式的极限，使计算简单化。
This article mainly discusses about how to take advantage of infinitesimal quantity to get the limit of power-exponential function.
本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换，提出了四条定理，并给出了证明。
In this paper we study the structure of panda fibers how to effect the birefringence (beat length) by an infinitesimal element method.
本文用微元算法研究了熊猫光纤的结构参量对熊猫光纤双折射特性(拍长)的影响。
With each passing infinitesimal time interval another infinitesimal layer is added to the region within which the magnetic field exists.
随着每一个无限小的时间间隔另一个微层被添加到一个区域内，磁场就存在于这个区域内。
That's what writing is: a bunch of small things, tiny things, infinitesimal things that you can hardly see-smaller than the eye of a needle.
写作何谓：就是一堆你几乎看不到的小事儿、小事儿、无穷小的事儿，小到比不上一枚绵针的针眼。
Variety although slowness, although I am infinitesimal, say, is the most the most important and the most greatest result for an individual.
变化虽然缓慢，我虽然渺小，但对于一个个体来说，却是最最重要、最最伟大的成绩。
Variety although slowness, although I am infinitesimal, say, is the most the most important and the most greatest result for an individual.
变化虽然缓慢，我虽然渺小，但对于一个个体来说，却是最最重要、最最伟大的成绩。
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