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So, that's a homogeneous system, one phase. You have to know if your system is an equilibrium system or not.
所以这是个均匀系统，只有一个相，你得知道你的系统,是不是个平衡系统。
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Latte, which is a homogeneous system, has a very, very large number of components to it All the components that make up the milk.
拿铁咖啡是个均匀系统，但它有非常非常多的组分,牛奶中的所有组分咖啡中的所有组分。
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So the test on the left, you'll remember, was the one with test one, I believe, was the uniform distribution, and test two is the Gaussian.
所以左边的测试，你得记得就是均匀分布,而第二个测试是高斯分布。
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So it turns out that the very first one, voters are not evenly distributed is certainly true, it's undoubtedly true.
首相想到的就是,现实中选民是不均匀分布的,这的确是毋庸置疑的
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These are definitely not equally spaced, be even more disproportionate but they should than I have shown it.
它们必然不是被均分的，并且会比我所展示出来的,显得更不均匀。
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Now when people gain enough weight, they gain it all over their body, but those are the typical weight gain patterns and it happens for hormonal reasons.
如果人们增重很多,那么他们全身会均匀地增胖,但刚才讲的是比较典型的增重模式,激素是导致它们发生的原因
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That is, if you plot the relationships between people We can take each person in this room, find everybody you know and who knows you and draw a line, but if we were to do this you wouldn't find an even mesh of wires.
也就是说如果要划出人们之间的关系,例如这个教室里的人，把互相认识的人用线划出来，如果我们这样做,得到的结果不是一个分布均匀的网状图。
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With a different volatility for the stocks because that was also selected randomly, plus some market bias.
或者均匀分布的一个随机值,因为数值选择上的随机性，再加上市场偏好。
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So one thing that seems odd about the way we set up this model is that the voters are not evenly distributed.
有一点使我们建立此模型的假设很牵强,即是选民们不是均匀分布的
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So, if I've got positive charge uniformly distributed, look at the choice. It's a brilliant experiment.
所以如果按照正电荷是均匀分布的假设来说，就会是这样的，这是一个聪明的实验。
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STUDENT: The variance of the Gaussian seems to be less than the variance of the uniform.
学生：高斯分布的变化比,均匀分布的变化小。
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If you drill down at the level of molecules you see that it's not homogeneous.
如果你深入到分子层面上,你就会发现它是不均匀的。
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But if you think about it, it would not be surprising if the Gaussians, at least, gave us some surprising, more extreme, results, than the uniform.
但是如果你去思考，你不会惊讶高斯分布,会给我们的答案会，比均匀分布大。
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But it's all mixed up together in a homogeneous, macroscopic fashion.
但是它们在宏观上，以均匀的方式融合了。
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I'm the heterogeneous system, soft stuff, hard stuff, liquid stuff.
我是非均匀系统，有软的物质，硬的物质，液体物质等。
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Or it could be uniform, where every value was equally probable.
还有均匀分布，每个值都有相同的可能性。
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The voters are not evenly distributed 10%, 10%, 10%.
每个立场的选民并非按10%均匀分布
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This can't make sense because the plum pudding model says you've got uniformly distributed charge.
这是讲不通的,因为布丁模型说的是电荷在里面均匀分布。
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Because, if you look at this molecule, you say that, well, the electrons are a little bit closer to the right than to the left so the charge is not uniformly distributed.
因为，你看到这分子时，因为，你看到这分子时,对更偏向右边,它的电荷一定不是均匀分布的。
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And think about, what's the difference between the Gaussian and the normal?
高斯分布和均匀分布的,差别是什么？
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I'm going to say that the positive charge is not uniformly distributed.
我要说,正电荷不是均匀分布的。
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Coffee is homogeneous, even though it's made up of many components.
咖啡是均匀的，使它是由许多不同的组分组成的。
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Because the uniform, as we've set it up here, is bounded.
因为我们在设定的时候均匀分布，是有界的。
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And then I'll create this function, d1 this distribution d 1, which will, whenever I call it, give me a random, a uniformly selected value between minus and plus volatility.
然后我会创建这个函数，这个概率分布，每次我调用这个函数的时候，他会给我返回一个随机的，按照均匀分布,从正负浮动值之间选择的值。
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These are so-called homo-polar molecules.
这就是所谓的均匀极化的分子。
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You need toknow it's heterogeneous or homogeneous.
要知道系统是均匀的还是非均匀的。
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You're going to have to know when you describe the system, if your system is homogeneous, like your coffee with milk in it, or heterogeneous like water with an ice cube in it So heterogeneous means that you've got different phases in your system.
你要知道,当你描述一个系统时，你的系统是均匀的呢，像掺了牛奶的咖啡，那样还是非均匀的，像放了冰块的水,非均匀系统就是说,在你的系统中有不同的相存在。
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A random-- a uniform, and a Gaussian.
一种随机的一种均匀分布和一种高斯分布。
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You need to know if it's an equilibrium, and you also need to know how many components you have in your system So, a glass of ice water with an ice cube in it, which is a heterogeneous system, has only one component, which is water, H2O.
要知道它是不是平衡的，你还需要知道,你的系统中有多少组分,一杯放了冰块的水，虽然它是个非均匀系统，但它只有一种组分，那就是水。
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And then we looked at this little loop before, for i in range number of stocks, I'm going to create two different lists of stocks, one where the moves, or distributions, are chosen from a uniform, and the other where they're Gaussian.
这里的这个小循环，因为i代表股票，我会建立两个不同的股票链表，一个是代表股票价格的移动，或者说是分布，它们是从均匀分布中得出的，而另一个链表是从高斯分布中得出的。
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