So we've seen one example of this, this idea of walking through all the integers looking for the square root.

现在计算机速度很快了，我可以把这个数字设的更大点,计算机会去很快的做这个事情。

麻省理工公开课 - 计算机科学及编程导论课程节选

If I pick an angle of 60 degrees, these are some numbers like half and root 3 over 2.

要是我选择一个 60°的角,上面的系数就会是二分之一和二分之根号三

耶鲁公开课 - 基础物理课程节选

You know, if you're wandering through Harvard Square and you see an out-of-work Harvard grad, they're handing out examples of square roots, they'll give you an example and you can test it to see is the square root of 2, 1.41529 or whatever.

你知道，如果你从哈佛校园里穿过去,你看见了一个失业校友，正在派发平方根的示例，他们会给你一个例子,而你会检查2的平方根是1。41529或者别的什么。

麻省理工公开课 - 计算机科学及编程导论课程节选

60 If we look at 435 times 160, take the square root of that, we will end up with 264 kilojoules per mole, which sensibly lies between these two values.

35乘以，取平方根，我们会得到264千焦每摩，很合理地落在两数值之间。

麻省理工公开课 - 固态化学导论课程节选

And we're reminded of the etymological root of our modern English word career.

而后我们就会想起,现代英语文字语源学的根源。

耶鲁公开课 - 弥尔顿课程节选

Charlie you often complain that accountants are the root of much evil and also even more folly.

查理，你经常讲到会计是当今,糟糕经济的根源。

斯坦福公开课 - 经济学课程节选

So we could say this is the root, maybe this is the third and that's the fifth.

我们可以说这个是根音，或许这个是三音，且那个是五音。

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

And by making them go away you don't get to the root of your problem.

虽然恐慌症的症状得以消除,但你却无法找到问题的根源。

耶鲁公开课 - 心理学导论课程节选

And deep at the root of Manifest Destiny, of course and there's book after book written on this is a deep and abiding American white supremacy.

很明显,这都源于命运天定,关于这点有很多著书证明,命运天定是根植于美国的白人至上主义

耶鲁公开课 - 美国内战与重建课程节选

Because the square root of 10,000 is 100, whatever the standard deviation of the portfolio is, you would divide it by 100 and it would become really small.

因为一万的平方根是一百，无论这个投资组合的标准差是多大，当除以100后就都变得很小很小了。

耶鲁公开课 - 金融市场课程节选

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

And I was talking about the fact that for Deuteronomy the election of Israel, God's election of Israel means or entails the idea that Israel is a holy people, holy in the sense of separated to God that root meaning of holiness which means to be separated from the common or the ordinary.

我上次提到了《申命记》中的一个事实,以色列被选择，上帝选择以色列意味着,以色列是神圣的民族，对于上帝他们是分离的,这便是神圣的根本意义,意味着与一般和普通分离。

耶鲁公开课 - 旧约导论课程节选

Square root of 16, and my plot basically shows it crosses at 4 and-- well, I think that's minus 4.

我的图清楚的显示这个函数,在4和-4两个点和x轴交合。

麻省理工公开课 - 计算机科学及编程导论课程节选

I first tested it on the square root of 4 and in one iteration it found 2.

我首先测了下求4的平方根4,它只迭代了一次并返回了2。

麻省理工公开课 - 计算机科学及编程导论课程节选

The root of the triad is the bottom-most pitch of that triad.

三和弦的根音是在一个三和弦最底部的音。

耶鲁公开课 - 聆听音乐课程节选