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the total amount of the work that we can get out is just given by the area inside this curve.
能够输出的功就是,我们可以得出来,曲线所包围的面积。
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It's a pretty small campus, so there are multiple campuses.
这个校区面积不大，所以学校有许多不同的校区。
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Wrev w reversible. in this case here let's see this is it's a pressure is going down.
曲线下的面积，可逆过程的功,这个过程中。
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This is a little bit of a tricky experiment, so we decided we'll just smoosh it all in, and we'll actually be able to account for it, because we'll take into account the area of all of those atoms.
因为我们要，考虑所有原子的面积，我觉得这个，黑板是不能自动上去的，好了，我们知道。
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They build these three large canals and this expands the area of the city by four times.
他们凿建了三条巨大的运河,使得城市面积扩大了四倍
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In fact, if you draw a diagram of a person, what their body is corresponding to the amount of somatosensory cortex, you get something like that.
事实上,如果你画一张人体示意图,在这张示意图中,将躯体感觉皮层面积与身体相对应,那么你就会得到这样的一张图
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Moving a disk of size 1.
移动面积为1的也就是最小的圆盘。
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B is the assumed cross-section of the nucleus.
假定B是核的横截面积。
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Because it was precisely because of this one world, run by the Romans and maintained by the Romans, that allowed the spread of Christianity, to a great extent, both ideologically and thought-wise, as well as simply physically.
因为正是由罗马人统治维持的，这个统一的世界，给予基督教在大范围面积内广为传播的机会，不仅是在意识形态和智慧方面，还有物质条件方面。
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Small college in Ohio. It was called the Western College for Women.
俄亥俄州的一所面积不大的大学，叫作,“西方女子大学“
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So for the reversible process, the work done is the integral under the pressure volume state function, the function of state.
对可逆过程，做的功,是压强体积态函数曲线下，的积分面积。
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So, here we have the area of the nuclei we'll figure out adding those all together versus the space of all of the atoms put together.
有原子核的面积,通过除以所有原子的,总面积。
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I think this board does not like to go by itself.
原子核的面积。
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And, in fact, the proportion as you go from rat, cat, and monkey, humans— less and less of it is devoted to projection areas and there is more and more to other things.
事实上你可以看到,从老鼠开始,到猫,到猴子,再到人类,投射区所占的面积越来越少,而负责其他功能的皮层,所占面积则越来越大
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That's the work that the system is doing to the environment. I'm doing work to the environment. The work is negative, which means that work is being done to the environment.
功的大小,就是矩形的面积,这样我们就实现了一台热机，冷却，加热，加热,冷却，系统回到了初态。
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So, I already said what the number of square miles that were increased, but it increases from six to sixteen million of the population.
我已经提过了领土扩大的面积有多少,而人口从六百万增加到一千六百万
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And the work in this case is the area inside here.
现在的功是这个区域内部的面积。
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The work in this step is just the area under this curve.
而这一步过程的功,是这条曲线下面的面积。
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So if we want to talk about the volume of that, we just talk about the surface area, which is 4 pi r squared, and we multiply that by the thickness d r.
如果我们要讨论它的体积，我们要用的是表面面积，也就是４πｒ的平方，乘以厚度ｄｒ
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And so we know the force for a particular mass, and we know the area of the piston.
我们知道每个质量对应的力，也知道活塞的面积。
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Also, you'll notice that the size of the body part represented in the brain does not correspond to the size of the body part in the real world.
而且你会发现,身体部位在大脑中对应的皮层面积大小,与身体部位的实际大小并不一致
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So, the number of nuclei, 119 if we were to sit and count these as well, is 119. So, we'll multiply that by just pi, r squared, to get that cross-section, and divide all of that by 1 . 39 meters squared.
如果你们数的话，原子核的数是，我们用它乘以πr的平方，得到横截面积，除以1。39平方米。
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