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So if I take p times V to the gamma, anywhere on the path, it's going to be equal to the same relation This is going to be true for any point on the path.
结果都，将等于，初态点的,只要在这条路径上。
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It's going to be the same temperature V+dV as before but the volume is V plus dV now.
将升温到跟路径1的结果一样,但是现在的体积是。
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In the case of France again, they are the work of a brilliant military engineer called Vauban, v-a-u-b-a-n.
例如法国,在佩皮尼昂 里尔 蒙梅迪等地方,这样的要塞城镇随处可见
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When a particle moves in a circle, it has an acceleration towards the center of this size, v^2 over R.
当一个质点在圆周上运动时,它有一个指向圆心的加速度,v^2 / R
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5 So similarly would there be the number 65 next to this then the corresponding number for V-I-D and then there's generally a special character at the end that looks like a zero that says end of string here.
同样，A就是,接着再填上V-I-D对应的ASCII码,在最后还有添上一个特殊的字符,有点像0，代表这是该字符串结束。
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If you think of two towns down here, Brive,b-r-i-v-e,famous for its rugby, and Tulle,t-u-l-l-e,which is a capital.
如果你可以想起来这儿的两个城镇,布瑞福,b-r-i-v-e,以英式橄榄球运动而负有盛名,图勒,t-u-l-l-e,是一个省的首府
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v The weight, w, and v, these are the two vectors we've seen here.
重量是w和价值，这是我们看过的向量的两个值。
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Does anyone have a guess for v?
有人猜到，V，是什么了吗？
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Delta v is positive in this direction here, the work is negative. So work on the system is positive. Work done by the system is negative.
功是负的，总而言之,外界对系统做功的符号为正。
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So if delta v is negative, in this case delta v is negative, OK, delta v is negative, pressure is a positive number, negative times negative is positive, work is greater than zero.
也就是当活塞,压缩气体的时候，做的功是正的，按照这一规定,我们需要在这里，加上一个负号，这是习惯规定。
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V+dV And this is going to be here V plus dV.
这里是。
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V Plus V.
再加上。
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And then V minus the excluded volume term is equal to RT. Two parameters, this is the attraction between two atoms or molecules in the gas phase.
以及V减去一个排斥项,等于RT，两个参数，这是气体状态下两个原子,或者分子之间的吸引力。
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If you took the derivative of this, you will get the velocity at time t, it would be: v=v0+at.
如果你对它求导,你就可以知道 t 时刻的速度,即,v=v0+at
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v We don't know what it is yet. In order to change this from a p to a V, you have to use the chain rule. So let's use the chain rule.
为了把这里的p变成,我们需要利用链式法则,好，让我们使用链式法则。
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D-A-V-I-D So when you get a string like D-A-V-I-D, what's really happening is inside your computer's RAM is going a byte where there's some zeros and ones.
譬如你有这么一个字符串，而在你电脑的RAM里将会变成,一个个由0和1组成的字节。
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