他们强烈表明中微子是有质量的，尽管质量是无穷小的。
They strongly suggest that the neutrino has mass, albeit an infinitesimal amount.
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。
The most complete work on finite and infinitesimal analysis was written in 1748 by Maria Gaetana Agnesi.
可以说，数学分析就是无穷小分析。
It can be said that mathematical analysis is infinitesimal analysis.
推论1常数与无穷小的乘积是无穷小。
Corollary 1 The product of a constant and an infinitesimal is an infinitesimal.
推论1常数与无穷小的乘积是无穷小。
Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.
而一个无穷小的宇宙便会经历一场大爆炸。
And an infinitely small universe is one that would undergo a Big Bang.
在19世纪，无穷小，取而代之的限制。
In the 19th century, infinitesimals were replaced by limits.
物质可以被分割或分解成无穷小的部分。
Things can be divided and broken down into indefinitely small parts if we can.
无穷小涉及的范围广泛，有很多很好的性质。
Infinitesimal is involved in a wide range, which has a lot of very good characters.
讨论了李群胚在流形上的作用及其无穷小作用。
In this paper we discuss actions of Lie groupoids and their infinitesimal actions on manifolds.
利用弱无穷小算子，我们找出了最优停时规则。
We find optimal stopping rules by using the weak infinitesimal generator of markov process.
讨论了李群胚在流形上的作用及其无穷小作用。
In this paper, Lie group, Symplectic manifolds, Groupoids are treated as fundamental research subjects.
然后给出判定无穷多个无穷小之积是无穷小的两个定理。
Then two theorems are given for judging a product of infinite infinitesimals being an infinitesimal.
因此，研究一阶无穷小位移机构的刚化问题是非常重要的。
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。
The definition and characteristics of the reaction and diffusion process were proven depended on infinitesimal operators.
建立无穷小序列的延迟一致性概念，给出它的充要条件及性质。
This paper introduced the postposition -uniformity concept of theinfinitesimal series, with the aid of it provided a rule of sum formula limit.
在大爆炸理论里，早期宇宙的状态是一个奇点，这意味着宇宙曾经是无穷小的。
In Big Bang theory, the state of the Universe is a singularity in early times, meaning that the Universe was once infinitely small.
本文对用等价无穷小代换与洛必达法则求函数的极限进行了探讨。
This article discusses some problems which should be paid attention to using equivalation infinite small and the L Hospital Theory.
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 paper introduces how to make use of the replacement of same value infinitesimal in calculating limit of the undecided type.
作为一个特殊情况，还给出了无穷小热粘弹性断裂力学的基本方程组。
Asa special case, the governing equations for infinitesimal thermoviscoelastic fracture mechanics are given.
人只是物质中一个无穷小的微粒，正如负宇宙面只是多元宇宙的一部分。
An individual incarnation was just an infinitesimal particle of substances, as Negative Plane was a tiny fragment of Multiverse.
因为奇点是无穷小的，不能可能有任何结构因此它能拿信息是不可能的。
Because the singularity is infinitely small, it cannot possibly have any structure and so there is no way that it can hold information.
本文利用无穷小旋转与角动量之间的关系来推导角动量算符的对易关系。
By using the relation between unlimited rotation and angular momentum, this article derives the commutation relation of angular momentum operators.
从无穷小变形条件下应变的定义出发，提出了大变形时真实切应变的概念。
A new concept for large strain-true shear strain-was proposed based on the definition of strain at infinitesimal deformation.
如果宇宙中的所有粒子都失去质量，那么对于这些粒子来说宇宙便会变得无穷小。
If all particles in the universe were massless, then, the universe would look to them to be infinitely small.
根据偏微分方程在无穷小变换下的不变性理论，研究经典场的对称性质和守恒量。
According to the invariance theory of partial differential equations under the infinitesimal transformations, the symmetries and conserved quantities of classical fields are studied.
引用无穷小概念，结合0 - 1律讨论了该模型的分布收敛于退化正态分布的条件。
The condition of this model converge to degenerate normal distribution is discussed by citing the idea of infinitesimal, combining with the law of 0-1.
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。
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.
利用元素例外族引申出无穷小元素例外族，并通过反演运算，得到了两个例外族的对偶。
This paper introduces an infinitesimal exceptional family of elements by means of an exceptional family of elements. By using inversion operation, duals of these exceptional families are obtained.
利用元素例外族引申出无穷小元素例外族，并通过反演运算，得到了两个例外族的对偶。
This paper introduces an infinitesimal exceptional family of elements by means of an exceptional family of elements. By using inversion operation, duals of these exceptional families are obtained.
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