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What I am going to do now is I am going to multiply by N Avogadro and then add Born repulsion.
我接下来要做的是,将其乘以阿伏加德罗常数,再加入Born的排斥作用。
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But remember that we need to multiply it by the volume here, the volume of some sphere we've defined.
但记住我们需要把它乘以体积，乘以一个我们定义的壳层的体积。
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You've got to juggle the two equations, multiply that by 4, multiply that by 3, add and subtract and so on.
同时处理这两个方程,这个两边乘以4,另一个两边乘以3,将两方程相加或相减求出答案
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You see the difference in electronegativity, square it, multiply it by one-quarter and raise that to the power e.
你看到了电负性的差异，开方，乘以四分之一,在移到e上去做指数。
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Multiply a by a to the b minus 1.
这很不错对不对？
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Can I multiply the ? by the 4 just to save myself some time?
我先算?乘以4吧,这样省事儿
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And then for some reason, that nobody understands, 16/15 he decided to multiply again by 16/15, and that's how we get 32 for freezing of water and 96 in his words for the temperature in the mouth or underneath armpit of a living man in good health.
然后，因为同样的原因，没人搞得明白，他决定再乘以，现在水的冰点变成了32度,而96度，拿他的话来说,是健康状况良好的人,口腔或腋窝的温度。
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So, once we figure out what our probability of backscattering is, we'll just raise that to the 1/2, and we'll multiply that by 12 . 20 centimeters.
所以一旦我们,知道了散射概率，我们开根号。
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The beauty of that is now we have discovered a notion of what it means to multiply a vector by a number.
现在最美妙的就是我们就已经知道,数字乘以矢量的意义
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I am only counting in one direction, 2 so I have to multiply this whole thing by two because I have to count both directions.
因为我只是在一个方向上计数，所以我要把这些所有乘以,因为我们必须考虑到2个方向。
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So if we take this term, which is a volume term, and multiply it by probability over volume, what we're going to end up with is an actual probability of finding our electron at that distance, r, from the nucleus.
如果我们取这项，也就是体积项然后，乘以概率除以体积，我们能得到的就是真正在距离,原子核ｒ处找到电子的概率。
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What Einstein then clarified for us was that we could also be talking about energies, and he described the relationship between frequency and energy that they're proportional, if you want to know the energy, you just multiply the frequency by Planck's constant.
爱因斯坦阐述的是我们,也可以从能量的角度来谈论，他描述频率和能量之间的关系,是成比例的，如果希望知道能量值，你用普朗克常数乘以频率就可以了。
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So, what we can do to actually get a probability instead of a probability density that we're talking about is to take the wave function squared, which we know is probability density, and multiply it by the volume of that very, very thin spherical shell that we're talking about at distance r.
我们能得到一个概率,而不是概率密度的方法,就是取波函数的平方，也就是概率密度，然后把它乘以一个在ｒ处的,非常非常小的,壳层体积。
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Then you're able to generalize that and say, if you multiply it by 2.6, I mean a vector 2.6 as long as A.
然后可以将其推广到更一般的情况,如果用2.6乘以它,所得矢量即为矢量 A 的2.6倍
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Let's multiply both sides by 2, I'll get 2q1* is equal to a - c over b - q1*.
等式两边同时乘以2,得到,2q1*=/b-q1
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T1 I can cancel those, T2 and then I'm going to multiply through by T1.
然后乘以，所以这等于T2除以T1减。
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To get any location in memory, to get to any value of the list, I simply have to say which element do I want to get, I know that these things are stored in a particular size multiply that index by 4, add it to start, and then it's in a constant amount of time I can go to that location and get out the cell.
取得列表中的任何一个值,简单说来，想要取得列表中的任何元素,我知道这些元素存在特定的大小中,把下标乘以4，加到start上,然后定位到内存单元，并取出值就是固定的时间了,好的，如果元素以固定大小存储。
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So, the number of nuclei, 119 if we were to sit and count these as well, is 119. So, we'll multiply that by just pi, r squared, to get that cross-section, and divide all of that by 1 . 39 meters squared.
如果你们数的话，原子核的数是，我们用它乘以πr的平方，得到横截面积，除以1。39平方米。
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