You take the third one, and you go from one to the other, and you see whether heat flows, when you touch one object, the middle object, between those two objects.

第三个物体就可以作为温度计,将它与第一个物体接触，再与第二个物体接触，观察它们之间热量流动的方向。

麻省理工公开课 - 热力学与动力学课程节选

So，the point is,every object falling under gravity is given by the same formula, but there are many, many objects that can have many histories, all falling under gravity, and what's different from one object and the other object is, when was it dropped, from what height, and with what initial speed.

关键是,每一个受重力作用下落的物体,都有同样的表达式,但是各个受重力作用下落的物体,都有不同的初始条件,所以它们的区别在于,下落时刻,下落高度和初始速度

耶鲁公开课 - 基础物理课程节选

The first sentence of your passage: "There is no art but one delivered to mankind that hath not the works of nature for his principal object."

你们篇子上的第一句话：，“只有一种艺术,当它传播到人间时,不带有自然的痕迹“

耶鲁公开课 - 文学理论导论课程节选

One final example of an object permanence study.

最后举一个关于客体永存性研究的例子

耶鲁公开课 - 心理学导论课程节选

It's a supposition that whatever the object of theory might be, - theory itself must-- owing to whatever intellectual constraints one can imagine-- be of such and such a form.

不管理论是关于什么事物的，它自己都只能-,由于人们思想的局限性-,以猜想的形式存在。

耶鲁公开课 - 文学理论导论课程节选

So, for example, if you were trying to study the motion of some object, here is one example.

举个例子,如果你想研究某个物体的运动,这里有个例子

耶鲁公开课 - 基础物理课程节选

I think you can tell by analogy with what I did in one dimension that the position of that object at any time t is going to be the initial position plus velocity times t plus one half a t square.

你们可以类比一下我在一维情况下的结论,这个物体在任意时刻 t 的位移,等于初始位移,加上 v ? t + 1/2 ? a ? t^2

耶鲁公开课 - 基础物理课程节选

Now, I hope you guys know that much calculus, that when you take a derivative of a function of a function, namely v square over 2 is a function of v, and v itself is a function of t, then the rule for taking the derivative is first take the v derivative of this object, then take the d by dt of t, which is this one.

我希望你们了解更多的微积分知识,当你对复合函数求导时,也就是说v^/2是关于v的函数,而v本身是关于t的函数,求导的法则应该是,第一步是这一部分对v求导,然后v再对t求导,得到这一部分

耶鲁公开课 - 基础物理课程节选