所有这些都是由混合熵引起的。
当混合a和，有同样的混合熵。
B So when you mix a and B, you're going to have the same entropy of mixing.
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.
加入一点惰性气体，就会有一点混合熵。
I add a little bit of inert gas, there's a little bit more entropy of mixing.
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.
此式与混合熵公式并不矛盾。
This last equation does not contradict the entropy-of-mixing formula.
因为混合熵。
如果没有A物质，而只有惰性气体的话，那么就不会有混合熵。
If I have nothing, if I have no a here, up here and just the inert gas, then there's no entropy of mixing.
因为如果我们有等量的A,B,C和，那么混合熵会很大。
D Because if I have equal amounts of a, B, c, and d, that's a lot of entropy of mixing there.
并指出，本文混合熵的表达式具有更明确的数学及物理含义。
The result indicates that the expression of the proposed hybrid entropy has more explicit mathematical and physical meaning.
分析讨论了其他作者提出的几种混合熵并给出混合熵应遵循的公理。
The hybrid entropies proposed by several other authors are analyzed and the axiom that a hybrid entropy should satisfy is given.
具有较高堆积密度成分的合金具有较高混合熵和较高的非晶形成能力。
The alloys with high pack density possess high mixing entropy and high glass forming ability.
这些不确定性信息或是随机性的、或是模糊性的、或是复合不确定性，可分别用概率熵、模糊熵和混合熵来度量。
The uncertain information may be probable, or fuzzy, or have compound uncertainty, and can be measured respectively with probability entropy, fuzzy entropy and hybrid entropy.
改进与推广了模糊信息的熵度量方法，探讨了用信息熵理论来研究既含有模糊性又含有随机性的不确定现象，从而得到了混合熵。
The paper also extends the method of fuzzy information measured by entropy, explores a uncertainty phenomenon including random as well as fuzzy, which infers compound entropy.
以GIS中线元不确定性为例，讨论了线元不确定性的统计熵、模糊熵和混合熵估计方法，并针对特例给出了线元不确定性的熵带分布。
Taking the uncertainty of line segment as an example, this paper discusses the evaluating methods of statistic entropy, fuzziness entropy, and hybrid entropy...
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.
那么现在我们已经得到混合物的熵，即使对相对浓缩的液相。
So now I've got the entropy of mixing even in a condensed phase the liquid.
因为我们得到的是所有这些混合的熵。
Because you've got entropy of mixing happening in all of this.
特别地，为什么熵的混合，对于平衡态如此重要。
Specifically, how entropy of mixing really becomes key to equilibrium.
这些的基本原因都是熵的混合。
这样我们能更明确地,计算混合后的熵。
实际上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。
And we saw that in fact in this case delta S of mixing, we calculated it, saw that it is positive.
那就是我们混合物的熵。
exi格式使用一种源于信息和正式语言理论的混合方法以及经过测量验证的实践技术对XML信息进行熵编码。
The EXI format USES a hybrid approach drawn from the information and formal language theories, plus practical techniques verified by measurements, for entropy encoding XML information.
对，最终的熵会更大,如果你把液体混合的话,会比纯物质的熵大。
Right. There's more entropy of mixing if you've got a mixture in the liquid than if you have a pure gas up there.
如果那不是零，和理想的情况不同，和以前不同，以前我们只有熵来驱动混合，现在有混合能。
If that's not zero, unlike the ideal case, now unlike before, where we just had entropy driving the mixture, now there's an energy of mixing.
那之后只是熵在起作用，好，让我们再来看一个熵驱动的问题，它和这些有一点不同，让我们看看液体中的熵的混合。
It's only entropy that's going to contribute. Ok, let's look at just one more entropy driven problem. And that is, it's a little bit different from these let's look at the entropy mixing in a liquid.
只有熵在驱动这个混合过程。
根据这一定律，在热气体与冷气体的自发混合、气体向真空的自由膨胀以及燃料的燃烧之类的不可逆过程中，熵都是增加的。
The law states that entropy increases during irreversible processes such as spontaneous mixing of hot and cold gases, uncontrolled expansion of a gas into a vacuum, and combustion of fuel.
根据这一定律，在热气体与冷气体的自发混合、气体向真空的自由膨胀以及燃料的燃烧之类的不可逆过程中，熵都是增加的。
The law states that entropy increases during irreversible processes such as spontaneous mixing of hot and cold gases, uncontrolled expansion of a gas into a vacuum, and combustion of fuel.
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