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.
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.
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.
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.
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.
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.
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.
为简化题目，你可以认为树都一个无穷小的点，而精确位于三角形边上的树应算作在三角形内的。
For the purposes of this problem, you may assume that the trees are of point size, and that any tree (point) lying exactly on the border of a triangle is considered to be in the triangle.
本文分别给出了使在无穷维欧氏空间中球体和球面具有有限的，但又不是无穷小的测度的半径集合。
In this paper, we give the sets of radii which make the measures of balls and spheres finite but not infinitesimal respectively, in a Euclidean space of infinite dimension.
文章着重介绍了在正项级数比较审敛法的极限形式中，用等价无穷小的方法来判别正项级数的敛散性。
This paper is mainly about recognizing convergence with the methods of infinitesimal equivalence in the limit form of convergence criterion in series of positive terms .
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.
因为，如果这些收入或效用的增加可以化为无穷小，那我们既能使用符号表示，也能利用微分学强大的操作了。
For if these increases of income or utility are reduced to being infinitesimal, one can use both the symbolism and the powerful manipulations of the differential calculus.
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.
大多数香水都有数百种成份，很多成份只是添加了“无穷小”的剂量，不存在“科学上相对的”潜在危险。
Most perfumes have hundreds of components, many of which are added in such "infinitesimally small" amounts as to make any potential risk "not scientifically relevant."
对切应变主轴不变的平面简单切变过程，通过无穷小应变的积分，导出了真实切应变计算公式。
An equation for the calculation of true shear strain was derived from the integration of infinitesimal shear strain in plane shearing process with constant principal shear strain direction.
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.
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.
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.
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.
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.
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.
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.
对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。
In this paper, infinitesimal classification is given and theorem condition of equivalent infinitesimal replacement is simplified, thus, this theorem is easy to operate.
一般齿轮齿形曲线在一点邻域的高阶阶戴劳级数展开后，会发现齿面啮合点邻域间隙为2阶无穷小。
The common gear tooth profile curve launches after neighborhood higher order step taylor's series, can discover the tooth face meshing point neighborhood gap is 2 step infinitely greats.
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.
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.
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.
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