Now, when we talked about optimization problems in dynamic programming, I said there were two things to look for.
现在,当我们讨论,动态编程中的最优化问题时,我想说有两件事需要注意。
But it grows pretty rapidly, as n goes up, and I'm going to show you an example in a second.
解决问题需要的时间会急剧增长,一会儿我会让大家看个例子的,我想大家注意的还是。
We can never just have it there before us or, as I say, if we can--if we can--it's a very, very difficult act of concentration.
我们永远不能只面对着它,或者,要我来说,如果我们可以的话,那将需要高度集中注意力,这是很难的。
So we needed to come up with another source, a renewable source, so we turned our attention to embryonic stem cells.
因此,我们需要一种替代材料,一种可以再生的材料,我们注意到了胚胎干细胞胚胎干细胞。
Depending on what kind of chemistry you go in to, you might accidentally memorize parts of the table, which is fine, but what you really want to know how to do is know how to use the periodic table.
取决于你今后从事哪个方向的化学研究,你可能会不经意地记住周期表的某一部分,这就够了,但是要注意,你真正需要知道的是如何使用元素周期表。
Treasury bills--maybe you have to realize there's a distinction between savings bonds and Treasury bills.
你们需要注意的是,储蓄债券和国库券是有区别的
But what's interesting about this particular example is one, it's imperfect.
但是,关于这个特定的例子,有两点需要注意,第一,它并不完美。
The important findings of note are the following.
这些结果有以下几点需要注意的。
So let's be careful here, we're not saying that we're going to delete the voters at 1, or delete the voters at 10, though we might wish to.
我们需要注意的是,我们并没有说要剔除立场1,或者立场10的选票,虽然我们希望能这样
One thing to realize, I told you the id is outrageously stupid.
需要注意的是,我之前说过本我是盲目的。
Now I'm going to add a little thing here.
注意我们需要在这上面加上一横。
The question we need to turn to-- I take it that just as the dualist view is a familiar one, so it's true that the physicalist view is a familiar one.
需要注意的是,如果说二元论是一种熟知的观点,那么物理主义的观点其实也很常见
But you've got to be aware of one fact.
但是你们需要注意一个情况
We should note that this notion, or this idea of a god who can even make and keep an eternal covenant is only possible on the view that God's word and will are absolute, insusceptible to nullification by some superior power or some divine antagonist.
需要注意的一点是,神可以签订和遵守契约,只有可能是,上帝言语和意愿是不可违背的,并不会因为高级权力和强大对手而受到影响。
Now the two things to notice about this are the high spike that you have out here which occurs very rapidly and then the rapid decline in blood sugar, and insulin is involved in this whole reaction.
有两个需要注意的事情是,你们在这看到的急剧变化的曲线代表着,迅速上升和迅速下降的血糖,另外胰岛素也随之发生变化
Now, if I was a person that was designing a vaccine and I noticed that this was the response that it got, that antibodies were produced, they reached some intermediate level, they started to fall, I would say, "Well I haven't stimulated the immune system enough, let me re-boost, let me give another dose of antigen."
现在,如果我正在研究一种疫苗,我注意到机体会对这种疫苗产生应答,也就是会产生抗体,当抗体浓度达到中等水平后,就开始下降,就可以说,疫苗对免疫系统刺激还不足,我需要提高抗原浓度,让我再把剂量再加大一倍
Notice the difference. The recipe, the sequence of instructions, is actually getting read in, and it's treated just like data.
注意其中的差别,方法,也就是指令序列,其实是需要读的,被当做数据来对待。
This is the sort of thing that people who do numerical programming worry about all the time. And there are a lot of a little tricks they use to deal with that, they'll perturb it a little bit, things like that.
这是一些做计算编程,要时刻注意的问题,当然有的时候我们还需要,应对一些假象,比如像这样被扰乱的。
There are some simple things that you should always look at when you're looking for bugs.
当你在找错误的时候,需要注意几件简单的事。
so it's important to note that it's not in b, now we're talking about b plus, because we've already taken an electron out here.
其中有一个非常重要的地方需要注意,不是硼,而是正一价硼离子,因为我们已经拿走了一个电子了。
You notice what it did, it printed out that little, right up here I'd said enter a number and that's what it's printed out, so I can enter a number and it prints it out.
注意这个程序做了些什么,显示出了指定值,然后显示需要输入个数字,然后程序会显示这个数字,我输入一个数字然后程序显示了它。
But you see the difference. Great question, and a very important thing to understand, and that's why I'm belaboring this point, since this is where people tend to get pretty confused, and this is why mutation is very important to understand. Yeah.
但是你们已经发现区别了,这问题挺好的,并且有重要的一点需要我们去注意的是,人们经常对可变性这一点感到很迷惑,但是可变性是很重要的,我们需要理解它,这也是我经常强调这一点的原因。
But notice unlike a for loop, if you want to declare a variable or increment or decrement to variable, you've got to do that yourself.
但请注意不像for循环,如果你想声明一个变量,或者变大或变小一个变量,你需要自己完成。
That is to say, we're going to focus on the question of what a poem is, and the question "What criteria should we invoke in order to read it for the best and correctly?"
换句话说,我们将把注意力集中在,“什么是诗歌“,和“为了读懂诗歌,我们需要具备哪些素质“的问题上“
And an important thing to note is in terms of what that physically means, so physically the binding energy is just the negative of the ionization energy.
一个需要注意的很重要的事情,是它的物理意义,从物理角度来说结合能,仅仅是电离能的负数。
But you actually need to keep a few caveats in mind as you do this, which is the fact that trends predict a lot of chemical properties, but they can't predict everything in terms of biological properties.
不过在你使用的过程中,需要牢记一些注意事项,那就是元素周期律可以预言很多化学性质,但是不能预言一切性质,比如生物学性质。
So you need to be careful.
这可是一个大问题,你们需要注意。
It's important to notice something when it's new because then you have to decide whether it's going to harm you, how to deal with it, to attend to it, but you can't keep on noticing it.
能够注意到新鲜事物的出现是非常重要的,因为你需要确定它是否会对你造成伤害,需要确定如何去处理这个新鲜刺激,但你不能一直去注意它。
And notice by the by, that when we make choices about our future, from the hedonist point of view, at least, there's no particular need to dwell a whole lot on the past, because what's done is done.
需要注意的是,当我们,为未来作选择时,起码享乐主义者认为,不必过分着眼于过去,因为过去的已经过去。
It's kind of ironic that we put this in the same lecture as we talk about atomic radii, which we also call r, but they're two different r's, so you need to keep them separated in terms of what you're talking about.
有点讽刺的是,我们在同一堂课里还讨论过了原子半径,它也是用,r,表示的,但是它们具有不同的意义,因此大家需要注意区分它们,弄清楚我们讨论的是哪一个。
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