So if you had some number back in grade school like 123, well, why do we express this as 123?
在小学,像123这样的数,为什么我们要表达成123这样的呢?
and he had his hands like this but he didn't have a sign. He was holding it as if he had a sign
他把手伸出,但他没有举牌子。他抬着手仿佛举着牌子一样,
OK. The thing I want you to take away from this, then, is to think of this as, this is, if you like, a recipe.
好了,我想让你们从这儿学到的是,思考一下这就像,如果你喜欢。
As soon as you allow anything to mix, like you might if you want to do any chemistry, entropy changes.
只要你允许物质混合,就像你做任何化学实验的时候要做的,熵就会发生变化。
I'm sure there's some upper limit as there are to most things, like if we think of wavelengths and different types of light, there is so large that you can get, but you would be approaching that level.
我确信对于大多数事物,都会有一个上限,就像我们考虑波长和不同的光时,那个太大了,但是你可以接近那个量级。
And there is no way to explain this phenomenon if you model the water as having particle-like properties.
没有其他的方法来解释这种现象,除非认为,水是一种具有粒子的性质。
And so over the course of the century, you can see a gradual -- as if something like this could actually be charted.
因此在17世纪的进程中,你们可以看到-,看似这些事真的可以被规划。
There's a kind of puzzle there as to-- even if, before we move to the question, how widespread are cases like this?
这里又产生了一种疑团-,甚至在我们探讨,这种案例有多普遍之前?
The advantage of introducing that guy is that if you like, I can now write an equation for the acceleration as a vector.
引入它的好处是,如果你愿意的话,我可以把加速度写成矢量形式
stay there because who knows, there are 20 million other things I might have said, but instead let me give you the opportunity to ask questions that you would like to raise, particularly if you want to ask about how they fought, as long as we have a phalanx here we might as well use it if we need too.
你们先别走,因为,谁知道还有什么呢,我还有一肚子的东西想给你们讲,但最好还是留给你们,一些提问的机会,尤其是关于战斗的问题,讲台上正好有一列方阵可以用来讲解
It's like, if you were to take it separately as a city from Manhattan,
它像,如果你把它和曼哈顿分离开来,看作一个城市的话,
If you can genetically engineer viruses like this and viruses have all those good properties as gene therapy vehicles that I described.
如果你能像我说的这样在遗传上改造病毒,加之病毒具备诸多优点,适合作为基因治疗的载体
If you would like to flag them as private, because you just don't want your classmates to see what you're asking, you can certainly do that.
如果你想要把它们标志为私有的,不想让你的同学们,看到你问的问题,你当然也可以这样做。
Most of the people are -if you're not accredited as an investor it's like the government doesn't respect you; it's like they're treating you like children.
大多数人...,如果你不符合合资格投资者要求,就像是监管机构不尊重你,把你当成小孩
Another is how much it's processed and how if you take things that started out as food like wheat or corn, and then they're processed many different ways, and things are added to them or done to them that change their chemical properties, does that affect whether we would consider them food?
另一个是它们被加工过程和程度,比如对于用来食用的麦子和玉米,有很多种加工方式,可以向它们添加一些东西,或进行一些加工去改变它们的化学性质,这会影响我们去判断它们是否为食品吗
Even they had to go into a role, just like in Zimbardo, they had to play their role of 1959 as if they were 20 years younger.
就算他们要进入角色,和Zimbardo的实验一样,要扮演1959年时的角色,仿佛年轻了20岁。
It's as if that word really embodies the feel of this novel, Vivian Darkbloom and so, like "Vivian Darkbloom," that word suggests the permeability--not just of fiction and the real--but of these narrative layers. Where is Nabokov?
那个字让这部小说的感觉具体化了,就像“,那个字表明了渗透性,不只是在小说,和现实中,要不是这些叙述的层次,Nabokov会在哪里?
If you want to get like As, you have to work hard for it.
如果你想得到A,那你得非常非常刻苦努力。
You may remember that I had suggested in the lecture on the Nativity Ode that Milton may have thought of his career as if it were something like a race.
你们可能记得我在的演说中,曾经设想的,弥尔顿或许把他的职业,看作无休止的竞赛与追逐。
Satan's saying that before the war in heaven, God's power just seemed like any other king's power, as if God sat on the throne of heaven merely because of those humanly constructed reasons of tradition, or of old repute or consent or custom.
撒旦是说在这场天上的大战之前,上帝的力量就和其他国王的力量一样,他坐在天堂的宝座上似乎仅仅是因为,人们自己营造的原因和传统,或者说是他过期的声望,他制定的法规以及约定俗成的规矩。
And I can obviously do the other direction which is I can say skip to index 2 and all the remaining pieces. This lets me slice out, if you like, the front part or back part or a middle part of the tuple as I go along.
很明显我可以从索引2开始切片,所有剩下的元素,这可以让我2,如果你喜欢我这么说的话,取得元素的前面的或者后面的,或者中间的部分。
.. It's one thing to have-- it's not to say that the best-- if you want your life to be like the plot of a great story, it's not as though you think, " "All right, the denouement must occur at the very last page."
如果你拥有-,不是说最美好的生活-,如果你想让生活像美好的故事情节,它并不像你所想的,“好的,结局一定是在最后一页“
So, the optimal thing to do if you live in a world like this n is to get n as large possible and you can reduce the standard deviation of the portfolio very much and there's no cost in terms of expected return.
如果现实中也这样简单的话,那么你就尽量增大,这样就能让投资组合的标准差,就会大大降低,从预期收益率的角度来看,这样做的成本是零。
Like if you're one of the people who hasn't been writing down things as you go along, and then you enter things at the end of the day, and I suspect that's the majority of you, you may have entered things into your record and then later gone and said, oh I forgot, I had this thing!
比如你是这些人之一,没有及时记下自己做的事情,在一天结束时你要提交信息了,我猜你们中的大部分,输入自己的信息,之后可能会发现,我忘了,还有这个
So if this is true do something else, true otherwise test and see if this is true, do something else, as many as I like followed by the end.
因此如果结果为true那么做一些操作,否则的话再看看这个表达式的值是不是,如果是的话做另外一些操作,我想要多少后面就可以跟多少。
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