And what's fallen out when we do that, because in each case, one of the first derivatives gives us the entropy.
当我们这样做时就得到了结果,因为在这些例子中,一阶导数是熵。
but they can set up Internet. It gives them access to the information that is on the World Wide Web, so...
他们可以架起网络,这样就可以让这些国家的人利用互联网的资源。所以……
I wish it didn't say "exit," but it does say "exit," because that kind of weakens my point, but over many auditorium doors a red light just hangs there.
如果这些灯上没有注明出口就好了“,因为这样会削弱我要证明的观点,礼堂的门上一般会挂着一盏红灯。
Do you think that's true or is it something that we inherently feel a repulsion towards.
您认为是这样吗?,还是说我们天生,对于这些问题就很反感?
One of the things you should begin to do, is to recognize what identifies those classes of algorithms, so you can map your problems into those ranges.
你们现在开始要做的事情之一,就是要学会辨别这些算法,这样你就能为你的问题,选择对应种类的算法了。
So, it frees you from some of Apple's tethers and this was the code that circulated on the Internet iPhone with which people could crack their iPhones.
这样我们就从苹果的约束下解放出来,这些代码是在网站上流通的,使用它们可能损坏你们的。
So that's kind of what's shown in these pictures here.
这就像这些图里展示的这样。
or places miles away, maybe in Timbuktu or whatever, who find it difficult to get educational materials from the local university or whatever, can watch certain lectures from Yale on the web.
或者更遥远的国度,像廷巴克图,他们可能在当地大学,不容易得到这样的教育资源,他们就可以到耶鲁网站观看这些视频
But, I think there will be great opportunities ahead for you and the ability for Wall Street to again securitize and buy a lot of these companies If you have capital, you'll be able to buy these bonds.
但是,我认为在你们未来的道路上将会有很多的机会,华尔街也将会有能力再次保障,或购买很多这样的公司的,如果你有资金的话,你就可以买这些债券。
And the reason for positing these things is because we're clearly able to think about these ideas, and yet, we recognize that the ordinary physical world-- although things may participate in them to varying degrees-- we don't actually come across these objects or entities in the physical world.
我们假定这些的原因是,这样我们就能够清楚的,去思考这些理念,目前我们认识到在正常的现实世界中,尽管很多东西或多或少的参与其中,我们并不会在现实世界中,直接面对这些对象或者个体
And so, and so those, those people sometimes have a harder time, it seems.
所以,这些,这些人有时候就比较有困难了,似乎是这样。
The question becomes how did you address these issues How do you know about them.
这样一来问题就变成了你怎么处理这些问题,以及你对它们了解多少。
So that's how you get a sense of these numbers.
这样你对这些数字就有个概念
and the parks are really like designed for that and they're just great.
这些公园就完全是这样的一种地方,真的很不错。
And this information just keeps coming in all day.
这些消息就这样传了一整天。
and most importantly, deep resolution, so we can go below the cortex, where other methods like PET that have better spatial temporal resolutions can't and see what's going on in these deep circles of the brain and this is very exciting,for many people, many of the advances have occurred of the last 10 years, I'm just gonna talk about a few of them today.
而且最重要的是,深层解析度,这样我们就能深入皮质以下,而这些地方其他,拥有更好空间解析度的方法如PET所不能达到的,从而看到大脑深处发生的了什么事情,这让很多人觉得非常激动,大部分技术上的进步发生在过去10年,今天我会将其中几种。
I'd like to give them a name, so I can refer to them in other places.
我需要给他们一个名字,这样我就能在其他一些地方引用这些值了。
And so this begs the question, even in the context of these cups, how can we possibly do better if at the end of the day in order to figure out if two cups or if two people or if two ints inside of an array are bigger or smaller than one another it feels like we have to do this comparison work anyway.
这样就回避了问题的实质,从这些杯子的相互关系来看,我们怎样才能更有效地,找出序列中比其他元素,都大或都小的两个杯子,两个人,两个数,看起来我们无论如何都得,做比较的工作。
You can call your broker and say, I'd like to short stock number one and what the broker will do is borrow the shares on your behalf and sell them and then you own negative shares.
你可以打电话给你的经纪人说,我要做空一号股票,经纪人就会在你的名下赊入这些股票,然后卖掉,这样你就拥有数量为负的股票了。
So that's exactly what we see as we go down the right branches.
当我们这样做下去,我们就会看到这些。
So it does that for us so that you can get away with just knowing the address of the first byte and it will make sure that you know when to stop by including the special value so, in fact, get the string if you type in a three-letter word, we allocate four bytes no matter what because we need an additional byte 0 for this special sentinel value back slash zero at the very end.
它为我们做了这些事情,这样我们就可以,通过第一个字节的地址,它还可以通过包含一个特殊的值,来保证在哪里停止,如果你输入了一个三个字母的单词,就可以获得那个字符串,不管怎样,我们分配四个字节,因为我们在末端需要一个额外的字节,来保存这个特殊的标志值--反斜杠。
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