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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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The risk tolerance curve for the tens of thousands of people that we needed to hire, you just couldn't quite get them.
由于风险承担曲线，我们需要雇佣数万名员工,但是却，雇不到。
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So, there's actually another way to graph it where we can directly graph the dissociation energy or the bond strengths.
其实，还有另外一种画这个曲线的方式,可以直接画出离解能的大小,或者键的强度。
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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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This curve here with the square shows you how many millions of vaccine doses were distributed across the U.S.
这个带方形的曲线图显示了,在美国数以百万计的,疫苗是如何使用的
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At any instant, your motion, if it follows any curve, locally can be approximated as being part of some circle.
在任何时候,如果做曲线运动,都可以近似地认为是圆周的一部分
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Now, for those of you who took Economics 115 or equivalent, what is the name of this line I've just drawn?
我来问一下学过经济学115的同学,这条曲线叫什么名字
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I should be able to do nice bell-shaped curves, but it's harder than it looks standing up here; so that's your bell-shaped curve.
我还是挺擅长画钟型曲线的,但站着画真的不太容易,这就是钟型曲线
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And we can just extrapolate in a straight line We before saw some examples where I had an algorithm to generate points, and we fit a curve to it, used the curve to predict future points and discovered it was nowhere close.
我们可以干脆用一条直线来描述它,我们之前看到在一些例子中,我用一个算法去生成一些点，然后用一条曲线对它进行拟合，然后用这条曲线来预测未来的点,最后却发现结果完全不对。
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And insofar as we care about the overall shape of our lives, we might worry about wanting it to have the right shape overall.
既然我们在乎生命曲线的整体形状，我们可能会想得到正确的整体形状。
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Here's a twist, and if you found people who were less wonderful than you all, and asked them, you'd get a lot of people saying the curving thing.
这是错误的,如果你去找一些没有你们优秀的人,问他们这个问题,很多人会回答你沿着曲线飞出
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The course is not FYI graded on the curve.
这门课程不是按照曲线参考进行评分的。
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you would see something like this,a curve, a very simple shape.
你会看到类似于这样的图像，曲线，非常简单的形状。
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There is no preferred orientation.
所以没有特定的曲线。
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As people's weights get high -I'm sorry let's go back here, got a little trigger happy here -as weights go high, from left to right you see the risk of Diabetes gets really very high.
随着体重的上升,抱歉,应该回到上一张幻灯片,刚才按多了,在曲线上从左到右,随着体重的上升,患糖尿病的风险在迅速上升
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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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And the equation of state, pressure versus volume at constant temperature, is going to have some form, let's just draw it in there like that.
系统的态函数，恒温下压强比体积，变化曲线，就像这样。
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And when we do that we can see this curve, this probability curve, where we have a maximum probability of finding the electron this far away from the nucleus.
当我们这样做时，我们可以看到这个曲线，这个概率分布曲线，这里有发现,电子的最大概率。
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So the velocity at any part of the curve is tangent to the curve at that point.
曲线上任意一点的速度,都在该点和曲线相切
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I constructed a series of home prices -that's the red line and the red line is -you can see how it's moved through history.
我绘制了一条房屋价格的时间序列曲线...,就是那条红色的线,你可以看到它的历史走势
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It's a demand curve. Thank you; it's a demand curve. That was the demand.
它叫需求曲线,感谢你的回答
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And we can actually better visualize this if we plot how that energy changes as a function of internuclear distance.
而我们就能更清楚地看到这些，如果我们画出,能量随核间距的变化曲线。
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So there's going to be a line that's going to connect the initial point to the final point, and that line mathematically is not going to be the same as this one here.
连接绝热过程,初末态的曲线的方程，和等温线的方程,也不会相同。
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So, this makes this chart shown in pink make a lot more sense, because if we're way out at very far distances, essentially what we have here is we're talking about two separate atoms.
因此综合考虑这些因素可以发现这条粉红色曲线很合理，因为如果我们离得非常远，本质上来说,我们讨论的就是两个分开的原子。
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In my diagram, I said that the tangency portfolio-- I estimated that the tangency portfolio is 9% oil, 27% stocks, and 64% bonds.
在我的曲线图里我有提到切线资产组合-,我估算出切线资产组合是9%的石油，27%的股票和64%的债券。
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So, the example that we took on Monday and that we ended with when we ended class, was looking at the 1 s orbital for hydrogen atom, and what we could do is we could graph the radial probability as a function of radius here.
周一我们,最后讲到了，粒子是氢原子１ｓ轨道，我们可以画出,这幅径向概率分布曲线。
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I can do that because it's reversible, and I can get a functional form out.
画出路径就意味着过程是可逆的，下面我们来看这条曲线的函数形式。
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So for an irreversible process, I wouldn't really be allowed to put a path there.
不可逆过程，是无法画出路径曲线来的。
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This is the most famous bell-shaped curve, but there are other ones with different mathematics.
正态分布是最著名的钟形曲线,但仍有其他表达式下的钟形曲线
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I can try other portfolios; this one right here--I'm pointing to a point on the pink line-- that point right there, 50% stocks, 50% bonds.
还可以尝试其它组合;,这一点，粉色曲线上我指的这一点-,表示50%的股票，50%的债券。
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