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Now, we are very gentle in this course with respect to knowing integrals, but this is one you have to know.
这门课对积分,的要求并不高，但这个积分你们必须会算。
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And what we find out is the wavelength of a Matsuzaka fastball is 1.1 times 10 to the -31 meters.
我们算出松阪快球的波长,是1，1乘以10的负31次方米。
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fib So if I think about computing Fib of I'm going to be computing that a lot of times.
所以如果我想计算,我得算上很多次。
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But it actually referred more politically to all of the male citizens, and in Greek cities, by tradition, only men were citizens of a city.
但是政治意义上特指全体男性公民，在希腊城市里，按传统，只有男子才算城市公民。
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If we get the pressure in there just right, we will allow for gas electron collisions and then we get the glow that ultimately was sent through the slits.
如果我们把气压设置在一个适当程度，把气体电子碰撞也算在里面,我们得到的炽热,最终将通过裂缝传送。
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.. I computed the efficient portfolio frontier for various-- it's the efficient portfolio frontier using the formula I just gave you.
我计算了来自不同组合有效边界-,这一条有效投资组合边界,就是用刚刚给出的公式算出来的。
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I mean, technically, if I want to personally go out and kill someone because they offend me, that is self possession.
我是说，理论上讲，如果因为别人冒犯我,我就要亲自动手杀了他，这也算自主权。
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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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In England, I think we refer to these guys - whether it's technical or not - as "Evil gits."
在英格兰,我们把这种人叫,自私鬼,不知道这算不算术语
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Women whose lives are mostly held in the private sphere rather than a public one are never gonna be taken in for state torture because they aren't actors on the political and social theme.
一些妇女，她们的生活处于,隐秘和不公开的状态,“国家酷刑“从来不会把她们算进去,因为在政治和社会层面上,她们并非活跃分子。
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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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I have to believe that the bulk of the killing took place on the flight and so that's why that works out.
但我相信,惨重的伤亡会在逃跑时出现,这就是为什么会算出那么惨重的伤亡数字
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That's one way to do it and I'll talk about it in other ways in just a minute.
这算一种办法,我一会儿还会讲别的
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because China is the largest Internet economy by population.
因为按人口算中国是最大的互联网经济体。
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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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He went 70. I tingled all over. I counted minutes and subtracted miles.
他其实有70了，我太激动了，算着时间和英里数。
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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 what counts as respecting my life and respecting my property, that is for governments to decide and to define.
但到底怎样才算对生命和财产的尊重，这是由政府来决定和界定的。
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What I have up there on the diagram are calculations I made for the efficient portfolio frontier with three assets.
上面的图形是我已经算好的,三种资产的有效投资组合边界。
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Now they are falling and in real terms home prices have fallen almost 10% since the peak in 2006.
从2006年房价格最高点算起,现在房价已经,下跌了将近 10%
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You plug all of this in and you get 344 kilojoules per mole, which then sums to 608.
把这些都算上,我们得到344千焦每摩，与上面结果加起来是608千焦每摩。
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STUDENT: What does it mean, the operator used, when you were calculating the remainder between nine and five?
学生：这是什么意思，当你用这个运算符去算,9除以5的余数的时候？
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It doesn't really-- well, let me just say what the polis claims to do here in Homer.
这并不算...,我还是说说在荷马时代,城邦是如何阐明法律的
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So, I'm not going to waste your time by asking what happens if you put it in.
我不会问你们把式子带进去以后怎么算,这完全是浪费时间
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And for any of the other compounds. So in other words, by defining that reference state, we can then figure out or measure heats of formation of a vast number of compounds.
对吧？对于任何其他的,化合物也是一样，所以换句话讲，定义了这个参考状态,我们就能算出或测量许多。
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Not to harp on the mathematical features of this, but cubing, AX*X*X you know, if you're starting to do AX star, X star, X, every time you want to cube some value in a program, it just feels like this is going to get a little messy looking, if nothing else.
不要总是说这个的数学特性，但是体积，你们懂的，如果你开始做，在一个程序中，每次你想算几个数值的体积，感觉它就变得,有一点凌乱的，如果没有其他的。
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I left out the noble gases here because they do something a little bit special, and actually, I'm going to give you one last clicker question today to see if you can tell me what you think noble gases do.
我并没有把稀有气体算在里面,因为它们的电子亲和能有点特别，实际上，我将会把这作为今天的,最后一个选择题，来请大家告诉我,你们觉得稀有气体电子亲和能应该是怎样的。
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So I did not do any counting up here, you should make sure you do counting, I apologize.
这里我没有算，你们应该保证你们算了，我这里要道歉。
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6% If you plug into this formula here, you end up with 56%.
代入公式，算出结果为。
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