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All right. Let's consider now the second extreme case, or extreme case b, b for our helium atom.
好的让我们现在来考虑,一下第二种极端案例，或者极端案例。
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b The repulsive term goes as some constant lower case b divided by R to the n. N is not the quantum number.
这种斥力很想一个固定的小写字母,被R到n分开的话，N不是量子数。
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In an extreme case b, we had a z effective of 2, so essentially what we had was no shielding at all.
我们有效的z是，所以本质上我们完全没有屏蔽。
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Okay, so I'm going to draw for the case, I'm going to draw the best response of Player I and I'm going to draw the best response for Player II in a minute, for the case B equals 1/4.
好的,我们要画这个案例的图像,我要在图中画出参与人I的最佳对策,一会还要画出参与人II的最佳对策,在这里B等于1/4
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B=0 There's going to be some temperature where B is equal to zero. In that case, your gas is going to look awfully like an ideal gas.
在某个温度,这时，实际气体的表现，十分接近理想气体,高于这一温度它是正的。
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Well,you can't tell by thinking about the normal case, because the B-functioning and the P-functioning stop at the same time.
这从通常的例子中是研究不出来的，因为生理功能和人格功能同时结束。
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In that case, we took the gene for the Hepatitis B protein.
在此种情况下,我们将乙肝病毒的基因同蛋白质外壳分离
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It says, if I am in the base case, if b is equal to 1, the answer is just a.
首先解决基本的，如果b等于1的话，那么答案就是a了。
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It turns out in the case of Hepatitis B, the way the lifecycle proceeds-- the cells make too much of the protein and not all of it gets assembled into the virus.
结果显示,在乙肝的病案中,病毒生命周期的发展情况,细胞制造了大量的蛋白质,但并不是所有的蛋白质都会组合成病毒
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the abuse is, you know, it's not quite right, it depends upon whether it's all ready, but you can see in either case, after 12 steps, 2 runs through this and down to a problem size b over 2.
在12步以后，两轮过后，这个问题的范围b被缩小了一倍，这为什么很不错呢？,这意味着再来12步。
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So we said B was somewhere between 0 and 1/4, let's draw the case for B equals 1/4.
我们之前也说过B在0到1/4之间,这里我们绘制B=1/4的情况吧
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So, let's just arbitrarily put it between these two in this case here, but actually there's no reason we couldn't also put it between oxygen b and c, so I'm going to draw another structure where we have it here.
那么，让我们任意地将它们放在这两个之间，但实际上我们没有理由,不能把它们放在氧原子，B，与，C，之间，因此我将把另外一个结构画在这里。
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In this case we have a double bond between a and b, and in this case we have it between b and c.
在这种情况下，我们在，A，与，B，之间有一个双键，而在这种情况下，双键在，B，与，C，之间。
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And in the even case, I'd square, divide by half, call this again: in the odd case, I go b minus 1 and then multiply by a.
就直接求a的平方的二分之b次方，如果是奇数的话，就去求a的b-1次方乘以a，以此递归下去。
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Now if you're at the temperature which is b higher than the inversion temperature, in that case here, a over RT is small compared to b, and this is going to turn out to be negative.
T>Tinv】,这时a/bR小于,结果是负数，因此如果温度。
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It says, in either case in general, t of b-- and this is where I'm going to abuse notation a little bit but I can basically bound it by t, 12 steps plus t of b over 2.
我可以用一个,比12+t的数代表,这里有点不准确的地方,具体的步数依赖于奇数偶数，但是你们可以看到在两个case中。
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t In the b even case, again I'm going to let t of b be the number of steps I want to go through.
如果b为偶数，那么我还是要用,来代表解决这个问题需要的步骤数。
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Let's just first fill in this for the b 2 case.
让我们先填完这个B2的情况。
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Yeah. You're jumping slightly ahead of me, but basically, I'm done when this is equal to 1 right? Because I get down to the base case, so I'm done when b u is over 2 to the k is equal to 1, and you're absolutely right, that's when k is log base 2 of b.
因为这就是最基本的情况了，因此当b/2的k次方等于1的时候就停止了1,你说的太对了，就是k等于b的以2为底的对数的时候,你们都坐的挺靠后的啊，我不知道是不是我讲的不太明白？
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On the next step though, this, we get substituted by that. Right, on the next step, I'm back in the even case, it's going to take six more steps, plus t of b minus 1. Oops, sorry about that, over 2.
这一步就是偶数了，这一步会让我们得到，6+t这样的结果，因为b-1现在是偶数了,别忽略这里的细节。
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In the case of the helper cells they stimulate a specific population of B-cells to mature into antibody producing cells, and that antibody is generated against the antigen that stimulated it.
以辅助性T细胞为例,辅助性T细胞刺激特定的B细胞,使这些细胞成长为抗体分泌细胞,抗体分泌细胞产生大量的抗体,以消灭大量增殖的抗原
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So what we're going to converge in on to, is the S1*, let's call it in this case, is equal to 1 plus B S2* and that S2* is equal to 1 plus B S1*.
交点的横坐标是S1,暂且这么叫吧,S1*=1+BS2*,而S2*=1+BS1
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