What I plot on this graph here is as a function time, years, dates, life expectancy as a function of time.

在这儿的这张图是,一个关于时间,年,日期的函数,将寿命长短作为时间的函数

耶鲁公开课 - 生物医学工程探索课程节选

But luckily for us, there's a classical equation of motion that will, in fact, describe how the electron and nucleus change position or change their radius as a function of time.

但幸运的是，有一个,经典方程描述了电子和核子,位置或者它们直接的距离是,如何随时间变化的。

麻省理工公开课 - 化学原理课程节选

If I gave you the location of a particle as a function of time, you can find the velocity by taking derivatives.

如果我给出物体的位移是时间的函数,你可以通过求导来得到速度

耶鲁公开课 - 基础物理课程节选

But we are going to be spending a fair amount of time talking actually about the meaning and the function of Israel's purity laws and cultic laws in a later lecture.

但是接下来我们将花相当一部分的时间,讨论以色列纯度法律和祭仪法律的,意义和作用。

耶鲁公开课 - 旧约导论课程节选

We assume that unless we're dealing with Scheherazade, it has to have an end, but at the same time we might well ask ourselves, why does it have a middle? What is the function of the middle with respect to a beginning and an end?

而且我们认定一定会有结尾，除非讲故事的是那个，《天方夜谭》中的苏丹新娘，但是我们要问自己了，为什么故事一定要有经过呢？,故事的经过对于开头结尾来说起到什么作用呢？

耶鲁公开课 - 文学理论导论课程节选

So now somebody can get an artificial hip and they can live for many decades with it and have almost full function of that hip over that period of time.

所以现在患者可以使用人造髋关节,再活上几十年,而且几乎和正常人没一点差别

耶鲁公开课 - 生物医学工程探索课程节选

n So the velocity is given by this product of the quantum number n Planck constant 2 pi mass of the electron time the radius of the orbit, which itself is a function of n.

速度是量子数,普朗克常数2π乘以轨道半径的值,它自身也是n的函数。

麻省理工公开课 - 固态化学导论课程节选

What is going on as a function of time?

作为时间的函数它将如何变化

耶鲁公开课 - 基础物理课程节选

Initially, its location as a function of time is equal to i times x plus j times y.

初始时刻,它的位移作为时间的函数等于,i ? x + j ? y

耶鲁公开课 - 基础物理课程节选

So, r is a function of time.

也就是说r关于时间的函数。

麻省理工公开课 - 化学原理课程节选

Then, to find the meaning of b, we take one derivative of this, dx/dt, that's velocity as a function of time, and if you took the derivative of this guy, you will find as at+b. That's the velocity of the object.

接下来,为了弄清b的含义,我们取它的一阶导数,dx/dt,得到速度作为时间的函数,如果你对它求导的话,你会得到at+b,这就是物体的速度

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

So, you remember from last time radial nodes are values of r at which the wave function and wave function squared are zero, so the difference is now we're just talking about the angular part of the wave function.

你们记得上次说径向节点在,波函数和波函数的平方,等于零的ｒ的处，现在的区别是我们讨论的是,角向波函数。

麻省理工公开课 - 化学原理课程节选

The standard library, that first line of code, it's not strictly necessary but any time you use a function, a tool that someone else wrote that lives in that so called library, you do need that include line as we'll see.

标准库函数--第一行代码，严格来说，不是每次都要写的，但是一旦你调用某个别人写，的函数，而这个函数又恰巧位于标准库里面,你就要像我们看到的这样，把它include进去。

哈佛公开课 - 计算机科学课程节选

In contrast when we're looking at a p orbital, so any time l is equal to 1, and you look at angular part of the wave function here, what you see is the wave function either depends on theta or is dependent on both theta and phi.

相反当我们看ｐ轨道时，任何时候ｌ等于１,你们看它的角向波函数，你们可以看到它要么是和theta有关,要么是和theta和phi都有关。

麻省理工公开课 - 化学原理课程节选