You can stop me any time and you should not feel somehow you are stopping the progress of the class.
你可以在任何时候打断我,而且你不必担心,你的问题就会打断课堂的进程
And I don't have to worry about these relative dimensions because we know from Marsden's calculations that, on the length scale that I have shown here, these would be just tiny little dots.
我们不必考虑,它们的相对大小,因为从马斯登的计算中我们可以得知,就从我现在给你们演示的这种相对距离来说,这些电子将只是一些很微小的斑点。
Jews didn't have to--they could observe the Sabbath, they didn't have to do things on the Sabbath that they didn't want to.
犹太人不必。。。可以过安息日,安息日那天他们不用做不想做的事。
It means anybody using that little function get float doesn't have to worry about what's inside of it. So for example, I decide I want to change the message I print out, I don't have to change the function, I just pass in a different parameter.
这代表着用这个方法去获得浮点数,的任何人都不用担心具体的实现了,例如,如果我想改变下,显示的信息的话,我不必去改变方法,我传个不同的参数就可以了。
You don't have to count all the leaves on the tree, you can take a sample and you count that and then you multiply.
你不必数树上所有的叶子,你可以抽样,然后计数,再相乘即可
You could use cell culture, so you don't have to grow the virus naturally in animals.
你可以利用细胞培养技术,那你就不必在动物身上培养病毒
And the speakers are able, presumably, to pursue the audacious arguments that will appear in the rest of the book without the oversight of the head of the household, the embodiment of conventional opinion.
众人想必,因此可以放胆发言,如我们在往后对话中所见,而不必担心一家之长的监督,惯例见解的体现。
She's done fantastic work, showing how people who help-- whether it's helping five extra acts during the week-- it can be more; doesn't have to be restricted to five-- or people who help five extra acts during one day, it's actually contributing to their wellbeing.
她很好地,证明人们-,不论是在一周内多做五件好事-,可以更多;,不必局限于五件-,或者人们在一天内多做五件好事,都能让他们更幸福。
Fortunately, Square is a company 1 that has revenue from day 1 so we can look at constantly building that and we don't have to worry about much investment.
幸运的是,Square是一家,从第一天就有收入的公司1,所以我们可以看到在不断地建设它,而不必担心投资问题。
And you'll find in the end that recursion is a feature of a language, it allows you to map some very obvious concepts like the phonebook tearing in half and half and half and half to actual code without it using some arbitrary human contrived framework like a for loop or a while loop which are much more stilted mechanisms.
最后你会发现递归是某种语言的一种特征,你可以用它将一些非常明显的思想,比如将电话簿划分为一半又一半,映射为实际代码,而不必使用那些人为框架,像for循环,while循环之类的,那是很呆板的机制。
What is this? This is a wonderful piece of abstraction. It is saying, you don't need to know squat about what's inside the body of this function. You don't have to worry about the parameter names, because they're going to be preserved, you don't need to worry about how I'm doing it, this tells you how you can use this, in order to use it correctly. Of course, I can then close it off, and off we go.
但是这能告诉你一些信息,这是什么?,这是一段完美的抽象,它的意思是你不需要知道,这个函数的内部构造,你不必担心参数是否重名,因为它们已经被预存了,你不需要担心我如何使用它,它告诉了你你该如何操作,从而正确的使用它,当然我也可以把它关掉。
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