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Because what it tells is that we can figure out exactly what the radius of an electron and a nucleus are in a hydrogen atom.
我们可以,准确的算出,氢原子中,电子。
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We could also figure out the formal charges, and obviously the formal charges between these two atoms, they're going to be identical, we're only dealing with oxygen atoms here.
我们还可以把形式电荷算出来，显然这两个原子的形式电荷，应该是完全相同的，我们要处理的只有氧这一种原子。
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But then having found one answer, you can add to it anything that gets killed by the act of taking derivatives.
一旦你算出了一个答案,你就可以往式子里加入任何,在求完导后消失的项
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du, it's an ideal gas. So this is Cv dT and of UB course we can just integrate this straight away.
因此这是CvdT，当然我们可以,直接算出这个积分，那么△
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But they're accountable and we can list all possible values when they're discrete and form a probability weighted average of the outcomes.
但随机变量是离散的话,我们可以把所有的可能值列出来,然后算出加权平均值
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I could do the same thing for Player 2 to find Player 2's best response for every possible choice of Player 1.
同理对于参与人2来说,可以算出参与人1不同策略的最佳对策
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STUDENT: So, how do you come to a conclusion as to which you should use then, if you can determine the size based on solution, or based on input, so how do you decide?
学生：所以，你怎样决定你该用,哪个来算呢？现在如果你可以选择是，基于解决方案的大小，还是基于输入的大小，你应该怎样决定呢？
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And I can't, myself, go higher than that but you could certainly do it mathematically.
我自己不能再算比那更大的数字了,不过当然可以算出来的。
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So, this gives you the energy of the bond.
这可以算出键能。
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We can count John Milton as a supporter of the Independents.
我们可以把弥尔顿算为无党派的支持者之一。
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You could then, for any actor or actress, compute the most connected one.
你也可以…,拿任何一个演员来作中心，算出连接性最强的一个。
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And not only can you punish with death people who come after you seeking to take your life, you can also punish a thief who tries to steal your goods because that also counts as aggression against the law of nature.
不仅可以处死那些,跟踪你想谋害你的人，还可以惩罚想偷你东西的小偷,因为那也算侵犯了自然法。
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And an electron is something where, i n fact, we might be able to, if we calculate it and see how that works out, actually observe some of its wave-like properties.
如果我们对电子做计算,并且知道如何算出来的,那么我们是可以观测到,电子的一些波动性质的。
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So if we went through and drew out our Lewis structure following each of our steps, what we would get is this as our Lewis structure here, and we could figure out all of the formal charges.
那么如果我们按照流程,经过所有的步骤来画路易斯结构，我们会得到这样的路易斯结构，然后我们可以算出所有的形式电荷。
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Once you've got them together, then you can compute the efficient portfolio frontier without the riskless asset.
当你明确了这些参数后，就可以算出没有无风险资产情况下的,有效边界了。
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And know intuitively that if they move together, they will behave like an object of mass 5 and the acceleration will again be 2.
凭直觉认为既然它们一起运动,那么它们就相当于一个质量为 5 千克的物体,然后我们可以算出加速度为 2
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Raise your hand if you don't if you don't have a ping-pong ball yet.
这样就可以算,背散射的概率了。
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Now, I could go on right the way through here, but I'm going to stop because it gets to be a bit boring after a while.
我可以就这样一直算下去,但是还是到此为止吧,因为再这样下去会很无聊
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You could calculate the time.
你可以算一下需要多少时间。
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OK, and I can figure this out.
好，我可以算出来了。
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And I can calculate this from Bohr model.
同样我也可以用波尔模型算出它来。
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Once you got a = 2, you can go back and realize here that f = 4, so you got really 4 Newtons.
一旦你算出 a = 2,你可以回到上面来,求出 f = 4,所以实际上这个力有 4 牛
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This is going to have one-half mv squared where this is the mass of the electron.
有了电子的质量,就可以用1/2mv^2算出其动能。
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Now, we are done because now we can ask how high does it go, and you go back to your y of 1 is 15+10-5, which is what?
现在问题解决了,因为我们可以算出,最高点的高度,你回到这个式子,求出y=15+10-5,是多少
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You can go ahead and use that equation, or you could figure it out every time, because if you know the total number of nodes, and you know the angular node number, then you know how many nodes you're going to have left.
你们可以直接用这个方程，或者每次都自己算出来，因为如果你们知道了总的节点数，又知道角向节点数，就知道剩下的节点数是多少。
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That's the efficiency.
就可以算出效率。
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When you do these calculations, which I just did for insurance-- I was talking about insurance companies-- assuming that risks are independent, everything's independent and we've got it all figured out.
当你试图去,做保险相关计算时,我指的是保险公司...,假定风险是独立的,事件都是独立的,可以算出一个结果
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It happens. Fortunately, while sitting in jail awaiting trial, the slow thief decided to figure what was wrong. And, amazingly enough, he had studied mathematics. And had a blackboard in the cell. So he was able to work it out.
失主叫了警察然后小偷最后被抓进了监狱,幸运的是这个贼做来牢房里,等待判决时发现了自己的错误,它很惊人的学习过数学，牢房里,还有一个黑板，它可以把题目算出来了。
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Once you find a = 2, you find T = 6.
一旦你算出 a = 2,你就可以算出 T = 6
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And conceptually, the idea of cubing a value feels like you could package that up into a little box, a little tool that takes input, a value, and returns output the answer A* so you don't have to constantly do A star, A*A So this program ,at the end of today, is pretty much the same thing.
概念上，算一个值的立方就像是,你可以把一个值打包放在一个小盒子里,一个用来接收输入的工具,一个值，然后返回一个答案,所以你并不需要一直使用，等等。，A，star，，A，，and，so，forth。,这个程序，最后，是一个差不多的东西。
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