Today we have advice about growing another root vegetable,carrots.

VOA: special.2009.02.24

We're not going to get into that 'cause that takes us into heavy-duty music theory, but it's--if we don't have root position then we've got some other note of the triad in the bass, and we've got some kind of chord inversion, so that's what that particular term means up there.

我们就不深究这个问题了，这是一个冗长的音乐理论，但是如果没有了原位，三和弦的低音被另一个音所替代，这就是一种和弦转位，这就是这个词在这里的意思。

耶鲁公开课 - 聆听音乐课程节选

But if you can accept the purity of the statement I just made, it is at the root of the thing you have a solution.

但如果你能够遵从原教旨主义的方式,那么这就是你解决此问题的根本

耶鲁公开课 - 古希腊历史简介课程节选

Bare-root plants have no soil on their roots.

VOA: special.2009.03.03

You have square root of minus one for something else.

你得到了某个负数的平方根。

麻省理工公开课 - 固态化学导论课程节选

I'm checking that I didn't leave my program because I didn't find an answer. Well this is a good thing, it's better than my program running forever, but it's a bad thing because I don't have it the square root of 0.25.

我对计数器要做个验证,因为我不会没得到答案就退出程序,好，这其实是个好事,因为它不会让我的程序永远跑下去，但这也是件坏事因为,我没得到0。25的平方根。

麻省理工公开课 - 计算机科学及编程导论课程节选

And it is precisely this desire to be self-governing, you might say to rule directly, to have a direct part in political rule, that Hobbes saw as one of the great root causes of civil war.

正是这种自我统治的愿望，直接统治的愿望，在政治统治中直接参与的愿望，霍布斯视为是,内战一个很重要的原因。

耶鲁公开课 - 政治哲学导论课程节选

Well,here's one other that you might not have thought of, and that is that most of the chords in rock music in particular tend to be root-position chords, and for that reason they're easier to hear.

还有另外一点也许大家还没有想到，那就是摇滚乐的主要和弦尤其倾向于变成根和弦，因此他们听起来也更加容易。

耶鲁公开课 - 聆听音乐课程节选

The institutions and the ideas therefore, that provide for freedom and improvement in the material conditions of life, cannot take root and flourish without an understanding of how they came about and what challenges they have had to surmount.

故此,这些机制和理念,为物质生活条件的自由和改善,提供了基础,但在不知道其根源且,无法预料的挑战之前,机制和理念是不可能扎根的

耶鲁公开课 - 古希腊历史简介课程节选

We've talked about some of these already, having to do with the nature of the harmony-- that pop music tends to have simpler harmonies, and that those harmonies tend to be more repetitious, that they tend to have harmonies that have chords in root position.

我们以前说过，这个问题与和声的性质有关-,流行乐通常用较为简单的和声，流行乐通常用较为简单的和声，流行乐手也大多喜欢用原位和弦。

耶鲁公开课 - 聆听音乐课程节选

And the good news was we didn't have to worry about how math did square root or anything like that, we just got it and we used it.

也可能是其他数，好消息是,我们不必担心math函数是怎样开方的,我们只要使用它就好。

麻省理工公开课 - 计算机科学及编程导论课程节选

I'm using it as an abstraction, saying I'm going to have square root from somewhere, maybe I'll build it myself, maybe somebody gives it to me a s part of a library, so I'm burying the details inside of it.

我把这个方法作为一个抽象来引用，意味着我将会从另外一个,地方去求一个数的平方根，可能我会自己写这个方法,也可能我会从别人写的lib中去引用,因此我将实现的细节放到了其他地方。

麻省理工公开课 - 计算机科学及编程导论课程节选

to do sqrt, or square root-- no, I'm going to square root use sqrt, that's the name I'm using here-- square root a hundred different places in some piece of code. Without function, I'd have to copy that piece of code everywhere.

让我做一下准备,想象一下我要调用sqrt或者-,不，我会调用sqrt函数,这是我在这里用的名字，我得把这段代码到处复制。

麻省理工公开课 - 计算机科学及编程导论课程节选

All right. So we have that square root NR.

好，看看这个NR求平方根方法。

麻省理工公开课 - 计算机科学及编程导论课程节选