On Thursday, we'll look at why that allows you to do lots of things more conveniently than you can do without mutation.
周四我们会探讨下,为什么这种可变性会让你,在进行很多操作的时候方便了许多。
and you feel like you've made a lot of choices in where to go with you and your friend.
你觉得,以往决定跟你的朋友去哪玩的时候你已经出了很多主意。
Don't be intimidated. Even though it is apparently exponential, a lot of times you can actually solve it much, much faster.
别怕,即使它,很明显是指数型的,很多时候,你都能更快的解决它。
So, for a lot of aspects of your life you only get feedback when you're good, when you do something good.
在你生活中很多时候,通常你收到评价,都是你做得好,或者你做了好事时。
Or a lot of the times when a website is compromised and you're able to steal someone's usernames and passwords, very often are the result of simple little things like this.
很多时候,当要访问的网站被人破坏了,你就有机会窃取别人的账号,和密码,正是因为这样或那样的小疏忽存在,才会导致这种事情频频发生。
This is so obvious in this problem, but when you see more complicated formula, you may not know all the assumptions that went into the derivation and quite often you will be using it when you shouldn't.
在这道题中这些都很明显,但是当我们用更复杂的公式时,你可能搞不清楚所有,在推导时的前提,因此很多时候,你都会用错公式
Now, as I say, many times when you read the dialogue, this or other dialogues by Plato, it seems as though he's fully cognizant of the objections that at least an attentive reader will raise about earlier stages of the argument.
很多时候当你阅读柏拉图的对话录,不管是这篇还是其他篇,柏拉图似乎很清楚至少有一个留心的读者,会对早期的一些观点,提出反驳意见
Of course there's a lot of interesting markets in London that, yeah, you want to go shop.
当然,伦敦还有很多有意思的集市,当你你想去购物的时候。
And yeah, you do get a lot of drunks falling out at that sort of time, so.
在那个时候,你会见到很多醉汉争吵。
And perhaps that is pastoral in a way, going back to what you said, that I do think of myself in many ways as doing pastoral counseling, particularly in the most difficult circumstances when there's been a crisis, a death, a serious accident.
也许某种意义上这像是种牧师与受众,回到你刚才说的,很多时候我觉得自己,就是作为一个牧师指导学生,尤其是在极其困难的情况下,比如出现了危机,伤亡,或者严重事故。
Is it when you earn a lot of money?
是你能赚很多钱的时候吗?
While I was there, many many of people said to me: look, we want you to succeed we believe you mind your doing, we know you have good intentions and we hate these people when they were in power, but we have to live here, t succeed, and many people have come here and not succeed before you.
当我在那边的时候,很多人对我说:,我们想要你成功,我们知道你很在意你所做的事,我们知道你是好意的,恨这些掌权的人,但是我们得在这里生活,如果你不能成功,在你之前也有很多人失败了,and,if,you,can’
So when someone comes to me, and they're about to do a test, I ask them, what do you expect your program to do?
因此当很多人找到我想要,做一次实验的时候,我问他们你期待你,的程序返回什么结果呢?
And you can imagine this gets complex and there's lots of interesting things to do to look to the real form, but those are the things that you should see.
可以想象下这样下去问题会变的复杂起来,而且当面对真实情况的时候,会有很多有趣的事情发生,但是这些东西你都应该明白的。
And it turns out-- a little teaser for our security discussion as time passes that a lot of the times when software is compromised and you download Photoshop like a cracked version of Photoshop or something like that.
这对于即将讨论的安全性问题来说,只是一个小插曲,随着科技的发展,很多时候,如果工具受损,你会下载到一个版本不全的,或其他类似的东西。
One answer is there are times in your life where half a second can matter a lot.
第一个答案是,在你生命在有很多时候,半秒钟能产生巨大的影响。
If you're getting these compilation errors, well, -- when you compile, notice there's a number of key help -- the number of helpful tidbits here.
如果你们得到了这些编译错误,当你编译的时候,注意这里有很多关键帮助-,这里很多帮助信息。
It used to be believed, and it's the sort of thing I would-- when I taught this course many years ago I would lecture on-- that neurons do not grow back once you lose them.
人们曾经相信,我在很多年前,教授这门课的时候,会告诉大家,一旦你的神经元受损,它们便无法恢复
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