我们中大多数人的头脑是被占据的。
于是，当头脑被占据的时候，就没有空间。
但是拥有一颗不被占据的心是非常困难的。
只有不被占据的心，才能清新地了解问题。
It is only the unoccupied mind that can be fresh to understand a problem.
只有一种允许的可以被占据的态，在低温极限下。
There's only one allowed possible state in the low temperature limit.
我们也可以把状态被占据的概率，写成这种形式。
We can write the probabilities of the occupancies in the same way, too.
现在我们已经描述了概率，可能被占据的状态被占据的。
Now we've described the probabilities in terms of the states that can be occupied.
如果状态的能量相等，那么这些状态被占据的概率也相等。
If the energies of the states are equal, the probabilities that those states will be occupied.
因为，如果你是被占据的，就没有空间，而你必须要有空间。
Because, if you are occupied, there is no space, and you must have space.
这个通常叫做波尔兹曼因子，他告诉我们被占据的程度，特定能态上。
This is often called a Boltzmann factor, because it's telling what the population of some particular state is. OK.
这份调查显示，超过两百万巴勒斯坦难民生活在加沙地带、被占据的约旦河西岸以及临近的黎巴嫩。
The survey says more than two million Palestinian refugees live in the Gaza Strip, the occupied West bank and neighboring Lebanon.
换句话说，这个数的大小告诉我们有，多少可能被占据的状态，从热力学的角度来说，对分子或者系统而言。
In other words, the magnitude of these Numbers tells us about how many states are accessible, thermally accessible, to molecules or to a whole system.
在某种情况下，这个能量被占据的概率更大，因为有更多的状态数，对于系统而言，这个数目不是三或者是一。
Just the way, in a very small way, this energy might be favored just because there are more states with it then there are states here. But again, with the system, it's not a factor of three to one.
当我们考虑，能级被占据的概率的时候，这个式子意味着在任何温度下，最低能量的状态总是最有可能被占据的。
When we looked at this probability distribution for the occupancies of the levels, of course, what it says is at any temperature, he lowest level is the most probable.
最终，当你走路、奔跑或者冲锋时，你可以把部分或者全部移动代之以飞行，你会安全落在最近的未被占据的格。
Finally, whenever you walk, run, or charge, you can spend any or all of that movement flying. If you are still flying when you end this movement, you land safely in the nearest unoccupied space.
现在我们知道如何确定一个状态,被占据的概率了，这意味着，如果我们有大量的状态,而且这些状态的能量远小于。
So now we know how to figure out how likely it is hat a certain state is occupied. And what it means is, let's say we have a whole bunch of states kT whose energy is pretty low compared to kT.
这个像寄生虫一样的、红色的、有光泽的结构在达到极限时也运行良好，它是一个被占据的构件，同时也占据着上空空间。
The parasite, red and shiny, works when measured against its limits, is an occupied element and occupies the void at the same time.
当注入的电子找到已经被占据的更低能级，他们就会溢出，进入其他状态：和它们的凹陷重新组合，并且以光子的形式释放多余能量。
When the injected electrons find the lower-energy state occupied, they spill over into the other state; realigned with their holes, they release their extra energy as photons.
所以或许在一百万个格子中有一个被占据，即使在这个过程的最后。
So there might be one in a million lattice sites occupied, even at the very end of the procedure.
如果我们考虑低温极限，比如温度是如此的低以至于，只有能量最低的状态可以被占据。
But if we're in the low temperature limit, maybe we're in such low temperature that only the lowest possible state is occupied.
现在的情形是，中国人，韩国人，世界上所有的人都来了，如果欧洲公司不觉醒的话，他们会发现尼日利亚最赚钱的生意都被占据了。
What is happening is the Chinese, the Koreans, everyone is coming around, and if European companies do not wake up, they will see that most of the best businesses are taken.
没有足够的热能使得其他的状态被占据，除了能量最低的状态。
There's not enough thermal energy to occupy anything but the very lowest state available.
话句话说，在平衡状态下，大量的状态都可以被占据。
In other words, a whole bunch of states that are thermally accessible at equilibrium.
自从2002年以来，没有一座无人居住的岛屿或岩礁被占据。
Since 2002 no uninhabited islands or rocks have been occupied.
这个电子应该是从,最高的被占据轨道上出来的，它的能级是最高的，因为这样的话发射出它,只需要消耗最少的能量。
The electron's going to come out of that highest occupied atomic orbital, that one that's the highest in energy, because that's going to be the at least amount of energy it needs to eject something.
那么就会有大量的状态被占据。
并且我们知道，某个状态必定会被占据，那么这些概率相加，的结果应该等于一？
And then realizing that the probability that some state out there has to be occupied, we saw that of course if we sum over all these probabilities that sum has to equal one, right?
根据这一政策，将不会启动新的定居点建设，也不会有其他的巴勒斯坦土地被占据用于扩建。
No new settlements would be started, no extra Palestinian land appropriated for expansion.
就会有大量的能量，小于kT的状态可以被占据。
And there are a whole lot of states that are accessible because the energies are less than kT.
就会有大量的能量，小于kT的状态可以被占据。
And there are a whole lot of states that are accessible because the energies are less than kT.
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