无穷小

If ,then is called a lower order infinitesimal of .

如果， 就说是比低阶的无穷小

If ,,then is called an infinitesimal of the th order as .

如果， ，就说是关于的的阶的无穷小

If ,then is called an infinitesimal of the same order as .

如果， 就说与是同阶的无穷小

An infinitesimal equivalence theorem is established in this paper.

建立了一个无穷小量等价的定理，文献1中的结果可作为本文定理的一个简单应用。

Never forget that the probability of a miracle, though infinitesimally small, is not exactly zero.

别忘记奇迹是有可能发生的，即使概率无穷小，但，它不是0

Meanwhile we present a kind of convex surfaces which are of infinitesimally nonrigidity and global nonrigidity.

在此基础上，给出一个非无穷小刚且非整体刚的例子。

Gauss(1777-1855); Copenhagen ; competition essay ; intrinsic ifferential geometry

本文考察了高斯完成于1822年12月，并于1823年获哥本哈根科学院大奖的论文《将一给定曲面投影到另一曲面上，使得保持它们在无穷小部分相似性的一般解决方法》(1825年出版，以下简称获奖论文)产生的背景及其对内

Week 2 Limit of number sequence, Limit of function, infinity and infinitesimal .

第2周 数列的极限，函数的极限，无穷小与无穷大。

A very small change in the function f, sufficiently small that the linear approximation to

df 函数 f 的无穷小变化，小至对於所有函数皆可利用线性近似表示。

Let ω denote the common measure of the left monad and right monad of r, proves in standard mathematics that ω is a positive infinitesimal outside of R.;Ⅳ.

令ω代表r的左单子和r的右单子的共同测度，在标准数学中证明了ω是R之外的正无穷小；Ⅳ。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。