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Those two equal signs are saying, is this thing equal to, in value, the thing on the other side?
这两个等号意思是，左边的对象，在值上是不是和另外一边的相等？
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Okay, so while not equal to, so bang equals, exclamation point equals is computer science syntax for saying not equal to, 0 while not equal to 2 which it is not, it is equal to 0.
好的，尽管不等于不是相等的反写,但惊叹号在计算机科学的语法是不等于的意思，尽管不等于2，但它是等于。
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So if you demonstrate something by writing an intelligent answer just by outlining it and saying, well, what I would do is I would equate the energy lambda and then solve for lambda, I can see that you know what is going on.
如果你想证明一些东西,通过写下一些很天才的答案,仅仅大致说一下，好的，我想做的是能量相等,然后解出，我能看到你知道怎么做。
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Today, it's priced given the best-known information and so tomorrow it's equally likely to go up or down.
由最广泛的信息所决定的,所以明天它涨价和降价的概率是相等的。
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We've got equal periods of suffering and doing slightly better and slightly better and slightly better equal periods of success and suffering.
两种生命所承受的痛苦相等,这种生命是变得越来越好,两种生命的成功和痛苦都相等。
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So, another way to talk about dissociation energy is simply to call it bond strength, it's the same thing, they're equal to each other.
讨论离解能的另外一种方式,是直接称它为键的强度，它们是一样的，彼此相等。
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And we've just seen that this is bigger than this, but the sums are equal.
我们知道它大于它，但是和是相等的。
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It turns out, it's part of a big picture and all of general relativity is based on this one great equivalence of two quantities which are very different attributes.
已经证明的是,这确实只是冰山一角,广义相对论的所有理论,都是建立在这两个质量相等的基础之上,而这两个质量的属性有很大差异
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So this is a - c over b and this is a - c over 2b so this distance and this distance are meant to be the same.
这点是,/b,这点是,/2b,这两段长度应该是相等的
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Right, one the things you can see now is, we start building up classes, we get these methods.
实际上是相等的，好，你们现在，可以明白的一件事情是。
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So, how could he know that the charge on the two particles was equal?
就是这两种粒子,电荷量是相等的？
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These things have to be equal to each other.
这两个偏导数是相等的。
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If they're equal, maybe you will say the law is working.
如果它们相等,也许你会说,定律是对的
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But there are two qualities which happen to be equal.
这里有两个质量恰好是相等的
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This is going to end up at a different temperature by the way. You saw this last time in a slightly different way. Last time what you saw is we compared isothermal and adiabatic paths that ended up at the same final pressure, and what you saw is that therefore they ended up in different final volumes.
末态温度是不一样的,上次你们看到的,和这个有一点不一样,上次我们比较的是末态压强,相等的等温过程和绝热过程,因此它们的末态,体积是不一样的。
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So, these are two different definitions of how to think about atomic radius, but really what you find when these are measured is they come up with almost the identical values, so there are tables, you can look up of atomic radii and see these values, and you can trust them that, they work for both this definition and for this definition here, in most cases.
这就是,关于原子半径的两种不同的定义，但实际上你会发现按照这两种方法,测量出的值是相等的，因此有很多关于原子半径的表格，你可以通过查阅它找到这些值，你可以相信这些值，它们对于这两种定义都是适用的，在大多数情况下。
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Because these mixed second derivatives are the same thing.
因为这两个混合二阶偏导数,是相等的。
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And hybrid orbitals are all going to be completely equal, and lower in energy than the p orbital.
杂化轨道是完全相等的，你会注意到它们的能量比s轨道高，比p轨道低。
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It makes sense, right, because you know we got less work out and delta u is the same right, so it must be that less heat got transferred.
这是显而易见的，因为输出的功更少,且Δu相等，所以需要的热量更少。
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So it's the same as q reversible plus w reversible.
它们是相等的，因此这也等于q可逆加w可逆。
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OK, as I said, I want equality in the case of points to be, are the x- and y- coordinates the same?
好，正如我所说，我想要这个例子中的，点相等的意思是？
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And as we said, he made the assumption that those two charges were equal, so we can go ahead and cross those right out.
我们说过,他假设，这两个电荷是相等的。
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For example, how do I know that when I pull the spring the first time for the mass, it exerted the same force when I pulled the spring the second time for the elephant?
例如 怎样才能知道,第一次连着物体拉弹簧时,产生的力和,第二次连着大象拉弹簧时产生的力是相等的呢
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Same thing with cmp, that's just saying greater than, and greater than now can apply to strings, it can apply to floats, it could apply to points, it could add other pieces into it.
是不是相等？,这跟cmp是一样的，这个只不过是说大于，大于现在可以应用于字符串，可以应用于浮点数，可以应用于点。
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If de Broglie is correct, let's irradiate the nickel crystal with a beam of electrons where the wavelength of the beam of electrons is identical to the wavelength of the x-rays that were used and see what we get.
如果德·布罗意是正确的，那么镍晶体放出,电子光束,电子束的波长,和原来讲过的X光的波长是相等的,再看看得到了什么。
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So the best response for Player 1, as a function of what Player 2 chooses, q2, is just equal to the q1 hat in this expression and if I solve that out carefully, I will no doubt make a mistake, but let's try it.
这个就是参与人1的最佳对策,它是参与人2策略q2的一个函数,它和之前的q1帽那个表达式是相等的,虽然我是很仔细地计算的,还是有可能算错的,我来验证一下
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I'll say it again, Player i's strategy "s'i" is weakly dominated by her strategy "si" if she always does at least as well by choosing "si" than choosing "s'i" regardless of what everyone else does, and sometimes she does strictly better.
重申一下,参与者i的策略s'i,弱劣于策略si,当且仅当无论对手怎么做,她选择si的收益至少与选s'i的相等,有些情况下甚至是严格占优的
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V2 And there's going to be some volume V2 and some volume V1, but are not necessarily the same. Especially since the pressures are different. we don't know yet about temperature so I don't know what to say about these volumes because I don't know what the temperatures' are going to do.
这里的体积会变成2,这里的容积是V1，它们不必相等,尤其是当压力不相等的时候,我们还不知道温度,所以我不能说这里的容积,是多少因为我不知道,温度会怎样变化。
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Now, just to repeat, again I know I've got some math phobics in the audience, let me just slow down a second, all I'm doing here is I'm saying look at this equation of the pink line, look at this equation of the blue line, X is when they cross, i.e., they are equal to each other.
我再重复一遍,我知道你们之中有些人数学不怎么好,我放慢一点说,我是这么解的,看这条粉线的方程,还有这条蓝线的方程,X是二者的交点,也就是说这点两个方程相等
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