You want to get the contract for Johnny Fontaine, you don't tell your consiglieri, "Hey Tom, put a point particle on Jack's bed."

约翰尼·方丹为电影《教父》中的角色,影片中有杀马恐吓的情节

耶鲁公开课 - 基础物理课程节选

So, you cross link all the proteins in the virus, and you make a particle that looks like a virus but it can't act like a virus any longer because it can't replicate.

当病毒中所有的蛋白质交联后,就得到了一种看上去像病毒,却无法致病的病毒,因为这种病毒不能进行复制

耶鲁公开课 - 生物医学工程探索课程节选

I will draw the famous picture of some particle moving and it's here at t of some value of x.

我会画某个质点运动的,经典图像,这是某个x值对应的时间t

耶鲁公开课 - 基础物理课程节选

What a particle tries to do generally is some crazy thing which doesn't have a name, but it's a function x of t.

一个质点的运动一般非常混乱,因此对应的函数没有名字,但它还是函数x

耶鲁公开课 - 基础物理课程节选

The answer was: at any time t, the location of the particle is given by this formula.

答案是,在任意时刻 t,这个质点的位移都由这个式子给出

耶鲁公开课 - 基础物理课程节选

So what I've said so far is, a particle moving in time from point to point can be represented by a graph, x versus t.

到目前为止,我说过,一个质点随时间的连续运动,可以用一幅x-t图来表示

耶鲁公开课 - 基础物理课程节选

As t increases, this angle increases and the particle goes round and round.

随着 t 的增加,这个角度也在增大,这个质点不停地转圈

耶鲁公开课 - 基础物理课程节选

if I say a particle's location is i times t^2 plus j times 9t^3, for every value of time, you can put the numbers in and you can find the velocity by just taking derivatives.

一个质点的位置,i ? t^2 + j ? 9t^3,在每一个时间点,你可以把数值代入,并通过求导得到速度

耶鲁公开课 - 基础物理课程节选