I had my suspicions about the milkshake, and so I took a sample and I rushed it down to the lab.
我怀疑奶昔有问题,于是我取了一份样品,跑到实验室化验。
If I do this, try and get the 10th element of a list that's only eight long. I get what looks like an error, but it's actually throwing an exception.
如果我来这么做,试着去取长度为8的列表的第十个元素,我貌似能得到一个错误。
f2c So I'm going to go ahead and run make on f2c, which is the name I gave to this particular program.
所以我将继续来编译,这是我给这个程序取的名字。
I could take an unknown gas and put it in and measure it and then say, wow, those are the lines that are characteristic of sodium.
我取一种未知气体,把它放到管里,然后检测它,哇,这些线是钠的特征。
It means that if I took this cell and isolated and watched it, I'd notice that it had a couple of characteristics.
意思就是如果我取这些细胞,分离并观察,我会发现它有几个特征
How many of you-- I was walking with a student over to my office after lecture the other day to get some material to him.
你们中有哪几位,前些天我和一个学生在课后,一起去我的办公室取材料
And x0 I'm going to reduce to 0 by choice of my origin being here.
0 等于零,因为我把原点取在这里
Well, Homer gives us several names for them, but three stick out for me.
荷马给他们取了几个名字,但是有三个让我印象深刻
I've got to focus for a second just to get it.
等我去取一下
So, for example, at an annual expected return of 12% if I have a portfolio of stocks, bonds, and oil I can get a standard deviation of something like 8% on my portfolio.
例如,在年预期收益12%的情况下%,我有股票,债券和石油的投资组合,在这个组合里,我的投资组合可以取到8%的标准差。
And Charles Darwin actually, who was an astute observer of human behavior, tells a nice story to illustrate this: how "a native touched with his finger some cold preserved meat and plainly showed disgust at its softness whilst I felt utter disgust at my food being touched by a naked savage though his hands did not appear dirty."
达尔文,对人类行为观察入微,他有一个故事很好地解释了反感:,“一个土著用手指碰冷腌肉,那种软软的质地让他感到很反感,而让我感无无比反感的是我的食物,被一个没穿衣取的土著碰了,虽然他的手不脏“
So, using those, now, what happens if we take the second derivative of A, the mixed derivative, partial with respect to T and the partial with respect to V.
如果我取A的二阶导数,混合导数,对T偏微分,再对V偏微分。
But instead in this chemistry course, I will just tell you the solutions to differential equations. And what we can do is we can start with some initial value of r, and here I write r being ten angstroms. That's a good approximation when we're talking about atoms because that's about the size of and atom.
但在这个课里,我会直接,告诉你们微分方程的解,我们可以给距离r一个初始值,我这里把r取10埃,当我们讨论原子时,这是一个很好的近似,因为原子的尺寸。
And what if I took a unit charge and I multiplied it times unit voltage, one volt?
如果我取个元负荷,让它乘上个电压单位,一伏特?
In binary search-- ah, there's that wonderful phrase, this is called a version of binary search just like you saw bin-- or bi-section methods, - when we were doing numerical things- in binary search, I need to keep track of the starting point and the ending point of the list I'm looking at.
就是当我们处理数字的时候,所称的二分检索,在二分法搜索中,我需要记录区间的开始点和尾点,初始化的时候就是-,问题输入的开始点和尾点,当我开始做测试的时候,我想要做的就是去取中值点。
This process, I said, this ancient process of taking scabs from patients and introducing them to people you wanted to protect, was called variolation.
这个过程,我想,这个从病人身上取痂,接种到你想保护的人身上的古老过程,叫做天花接种
Further down the line, for example, in the blastocyst I talked about before, we could obtain cells from this inner cell mass or this cluster of cells that becomes the embryo.
沿着这条线看,举个例子,就是我之前提到过的囊胚,我们可以取一些内细胞群的细胞,这种能成为胚胎的细胞群
But I can also ask for parts of this. So I can, for example, say give me the first element of s1 string 1, s 1. Ah, that's exactly what we would have thought if this was represented as an ordered sequence of things.
然后返回一个长字符串,我也可以,取字符串的一部分,例如,我可以要求返回给我字符串,的第一个元素,啊,这证明我们之前,认为的它是一个有序的字符序列的想法。
Well, it would be useful because if I could take cells from the skin, find stem cells in the skin and then de-differentiate them so that they were now capable of becoming liver, or brain, or things that they're not going to become in their normal site, then that could be a very powerful tool for medicine.
这是因为,如果我能取一些皮肤细胞,找一些皮肤干细胞,并将它们去分化,那它们就能分化成肝脏,大脑或其他一些,它们原本分化不出来的细胞,这可以成为一个医学利器
Then you guys know, you just told me, acceleration is -9.8, We call it "minus" because it's accelerating down and up was taken to be the positive direction.
然后你们都知道,你告诉我,加速度是-9.8,我们取负号是因为加速度方向朝下,而正方向为竖直向上
I mean, with the b and c? What value should I pick?
我指的是b和c,这两个系数应该取什么值
By the way, I didn't tell you this but I think you know that I picked my origin to be here and measured y positively to be upwards and I called that 15 meters.
顺便说一下,虽然我没明确指出,但我想你们应该都知道,我把原点取在这里,并规定y的正方向朝上,我设把这里的高度为15米
I'm walking along the list once, taking two things and saying, make sure the biggest one is next.
我遍历一次列表,每次取两个值,确认最大的元素在后面一个。
If it's at that point, I'm done, if not, if it's greater than the value I'm looking for, I either take one half or the other.
那么我就取左边,否则的话就取右边,好,你们可以明白,我们一次就可以缩小问题规模的一半了吧。
That being the case, what's my next guess?
那下一步我该怎么取猜想数呢?
I going to come back in a second to how it actually does that, but it basically says, get me x value for p 1, get me the x value for p 2, compare them, just as you would normally.
是一个类的实例,我要去取的这个实例,所关联的x值,我稍后会讲讲实际上,这里是怎么实现的,但是基本上它的意思就是,给我p1的x值。
One way I could try to find the gene for human insulin is to take any cells from any of us, skin cells let's say, and I could identify where on the chromosomal DNA that insulin is likely to occur.
我能找到胰岛素基因的一个方法,是从任意一个人身上任意取一些细胞,比如说皮肤细胞,并且我知道胰岛素基因,可能出现在染色体DNA的哪一部分
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