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
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。
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
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。
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?
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。
What is going on as a function of time?
作为时间的函数它将如何变化
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
So, r is a function of time.
也就是说r关于时间的函数。
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
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
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。
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