如果我们计算气体混合过程中熵的变化，我们会发现这个量是正的。

If we calculate the change in entropy during gas mixing, we will find that this quantity is positive.

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现在的研究采用了复杂性分析中的样品熵算法。

The present study is to investigate the application of sample entropy (SampEn) measures.

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提出了基于最大互信息熵且具有奇数约束的优化得分函数。

A score function for optimization based on maximum mutual information entropy with odditional restriction is proposed.

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所以混合中的熵是非常重要的。

So entropy of mixing is really super important.

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那就是，熵的项，当然，仍然存在。

That is, the entropy term, of course, is still there.

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如果你改变温度，熵也会变化。

If you change the temperature entropy changes and so on.

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这些的基本原因都是熵的混合。

And it's all driven by entropy of mixing.

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所有这些都是由混合熵引起的。

All driven by entropy of mixing.

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它们在你们关于熵的笔记中。

They're in your notes for entropy.

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你有一块晶体，它的熵很低。

You have a crystal, entropy's very small.

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这样我们能更明确地,计算混合后的熵。

So we can just explicitly calculate the entropy of mixing.

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没有混合熵，我们得到的就是这条曲线。

Without entropy of mixing, we would be sitting on this curve here.

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魔幻词汇是什么？混合熵。

What's the magic word? Entropy of mixing, right.

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那就是我们混合物的熵。

So that's our entropy of mixing.

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熵是指物体失序的趋势。

Entropy is the tendency of things to disorder.

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不过那跟熵有什么关系？

But what has that to do with entropy?

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在这种情况下，熵为零。

And in that case, the entropy is absolutely zero.

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在这个简单的模型中，这个纯液体的熵是零。

Well, in this simple model the entropy of the pure liquid is zero.

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没有混合熵的话，所有的东西都会变成产物。

Without entropy of mixing, then everything would go directly to the products.

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这样是我们初始的熵。

So that's our initial entropy.

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这就是熵和时间之箭。

That's entropy and the arrow of time.

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继续得到宏观的熵变。

And continue to derive the macroscopic entropy changes.

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但是熵也会起作用。

But entropy also matters.

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是的，是熵，对吗？

Yeah, it's entropy, right?

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对，熵！熵起了什么作用？

Yeah. What about entropy, right?

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都是由熵驱动的。

And it's all driven by entropy.

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我们知道它是由熵驱动的。

And we know it's entropically driven.

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同样的，它仍是熵驱动的。

And again, it's still entropically driven.

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同样的，它仍是熵驱动的。

And again, it's still entropically driven.

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