Week 3 Limit algorithm. two important limits and comparison of infinitesimal.

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.

Meaning that even an infinitesimal force can accomplish a seemingly impossible feat with persistence.

比喻只要坚持不懈,即使力量很小,也能做出看来很难办到的事情.

It proposes that atomic particles are made up of infinitesimal vibrating loops of energy or strings.

它提出了原子微粒是由极其微小颗粒的振动能量构成,也即是弦.

There was an infinitesimal pause.

其中有一个极短暂的停顿。

A drop of water is very infinitesimal, but do you know a picklea muckle's truth?

一滴水是十分微小的, 但是你知道积少成多的道理 吗 ?

Theorem 2 The product of bounded function and an infinitesimal is an infinitesimal.

定理2有界函数与无穷小的乘积是无穷小.

This is like Carlin's " Why is infinitesimal such a long word? "

为什么 “ 极其微小 ” 是一个如此长的词?

A millionth of an inch is an infinitesimal length.

一英寸的百万分之一是极小的长度.

The person is infinitesimal and helpless.

人是渺小而无奈的.

Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.

推论1常数与无穷小的乘积是无穷小.

Infinitesimal strains cannot yet be recorded.

我们还不能将这些极小量的应变记录下来.

One : the Library is so enormous that any reduction of human origin is infinitesimal.

其一: 图书馆是如此浩淼,对人类起点的任何还原不过是沧海一粟.

infinitesimal traces of poison

微量毒素

Based preemptive priority queuing network model and infinitesimal perturbation analysis schemes , new scheduling algorithm is presented.

建立了一种基于摄动分析方法的窗口流控新算法,给出了各种负载条件下的仿真实验结果.

Theorem 1 The sum of finite number of infinitesimal is an infinitesimal.

定理1有限个无穷小的和也是无穷小.

We find optimal stopping rules by using the weak infinitesimal generator of markov process.

利用弱无穷小算子,我们找出了最优停时规则.

In this paper, the application of equivalent infinitesimal substitutionon method to limit operation is discussed.

讨论了等价无穷小代换在极限运算中的应用.

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.

II Limit --- Reasonability of Infinitesimal Calculus.

极限 ---- 微积分的合理性.

And when you add space to that equation, it is infinitesimally small.

当你加上无限的空间到那个等式, 它是极其小的.