"The field commander has said 'I need a lot more troops.' And I think it's more than most people, at least in their calculus in the back of their minds, imprecise as that probably was, it was a larger number than they were prepared for,".

VOA: standard.2009.10.16

If you have not seen the calculus that I'm about to use on the board, or more likely, if you've forgotten it since high school, don't panic.

如果你们没有见过我将要,在板书上写的表达式,或者说,高中毕业你们就忘了,没关系

耶鲁公开课 - 博弈论课程节选

The math quiz is on calculus, and I am really bad at it.

这次数学考试是关于微积分的，是我特别不擅长的部分。

I'm worried 实战 - SpeakingMax英语口语达人

All I did was, I did a little bit of calculus, a little bit of algebra, and then I drew the thing.

我只不过是稍微用了点微积分,做了点代数运算,然后就画出来了

耶鲁公开课 - 博弈论课程节选

I got the feeling, when I was talking to some of you guys, that maybe you should brush up on your calculus.

当我和你们中某些人聊天时,我感觉到,你们应该好好复习微积分

耶鲁公开课 - 基础物理课程节选

Because what matters is where they are in the power calculus.

因为重要的是,他们在整个权力体系中居于怎样的位置。

普林斯顿公开课 - 国际座谈会课程节选

Suppose the utilitarian calculus in the long run works out as he says it will such that respecting people's rights is a way of making everybody better off in the long run.

假设如他所说，长远来看,功利主义演算真能实现,即尊重个人权利,从长远来看，真的能让大家都获益。

耶鲁公开课 - 公正课程节选

Emotion ruled the decisions, not rational economic calculus.

情绪主导了投资决策,而不是理性的经济学计算

耶鲁公开课 - 金融市场课程节选

So, from the calculus we know dv/dt=a.

由微积分我们得知dv/dt=a

耶鲁公开课 - 基础物理课程节选

This is a calculus-based class and I expect everyone to know at least the rudiments of differential calculus.

这门课需要微积分的数学基础,我觉得每个人至少应该知道,一些微积分的基础知识

耶鲁公开课 - 基础物理课程节选

Not only did he formulate laws of gravitation, he also invented calculus and he also learned how to solve the differential equation for calculus.

他不仅找出了引力定律的公式,还发明了微积分,同时也得出了微分方程的解法

耶鲁公开课 - 基础物理课程节选

But I showed you in the end how we can use calculus to derive that.

我上节课最后教过你们,如何用微积分来得到那个结果

耶鲁公开课 - 基础物理课程节选

I want to derive the last result in another way, then I will stop, and that's pretty interesting because it tells you the use and abuse of calculus.

让我用其他方法解答最后一个问题,然后今天就到这 这是一个挺有意思的题,因为它展示了微积分的正确用法和错误用法

耶鲁公开课 - 基础物理课程节选

Or do you think this completely destroys the whole utilitarian calculus?

还是你们认为它完全推翻了,功利主义的演算？

耶鲁公开课 - 公正课程节选

That's the meaning of the limit in calculus.

那是微积分学里的极限思想

耶鲁公开课 - 基础物理课程节选

I think that book will give you all the basic principles you need in calculus of one variable, more variables, elementary complex numbers, maybe solving some problems with vectors and so on, which you're going to get into.

我想那本书会给你所需的所有基本知识,包括一元和多元微积分,简单的复数运算,可以解决一些与矢量有关的问题,而这正是你们将要学的

耶鲁公开课 - 基础物理课程节选

That is the whole triumph of calculus is to know that by looking at the position now, the position slightly later and taking the ratio and bringing later as close as possible to right now, we define a quantity that we can say is the velocity at this instant.

这就得靠微积分了,通过了解它现在的位置,和一小段时间以后的位置,计算它们的比,再让时间间隔尽可能缩短,我们就定义了一个,被我们称之为瞬时速度的物理量

耶鲁公开课 - 基础物理课程节选

So, in the language of calculus, x is a function of time and this is a particular function.

所以,从微积分的角度来看,x是一个关于时间的函数,而且是个很特殊的函数

耶鲁公开课 - 基础物理课程节选

I've found Player 2's best response as a function of q1, and the way I did it, just remember, the way I did was I applied a little bit of 112 and high school calculus, so that's your single variable calculus.

以及参与人2的最佳对策是q1的函数,而且我们用到的数学知识,只是稍微与112和高中微积分有关,仅仅是单变量微积分的知识

耶鲁公开课 - 博弈论课程节选

So this is the central idea of calculus, right?

这是微积分的核心思想,对吗

耶鲁公开课 - 基础物理课程节选

Everyone knows from calculus that if you're trying to find a function about which you know only the derivative, you can always add a constant to one person's answer without changing anything.

学过微积分的人都知道,如果你想根据已知的导数,求出其原函数,你总是可以给某人的答案,随便加一个常数,且不影响结果

耶鲁公开课 - 基础物理课程节选

You've got to realize that in calculus, the symbols that you call x and y are completely arbitrary.

你应该明白在微积分中,选x还是y当符号是完全任意的

耶鲁公开课 - 基础物理课程节选