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So now let's go around the cycle and just compare notes on what happens to the thermodynamic quantities as we do that.
现在让我们推导一下这个循环,比较一下这个过程中,热力学性质的变化。
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OK, so now let's try to formulate how to describe the equilibrium state and what dictates spontaneity.
现在我们尝试,找出如何描述平衡态以及,什么东西表明自发性。
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So now let's take a look at some of -- is there a question up there?
让我们来看一看-有问题吗？
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So now let's actually put some of these ideas to use in a more familiar way.
现在让我们用这些想法来使用它,用一种更熟悉的方式。
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So now let's fill the orbitals.
现在让我们把这些轨道填满。
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So now let's look at it.
所以现在让我们来看到这个类。
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Okay,so now let's consider the following case.
好了，让我们考虑一下以下案例。
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Now let me remind you that they're going to be grading many of your things, so let's give them another hand.
我要提醒大家,成绩评定的工作大多由他们完成,所以请再次热烈鼓掌
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So let me turn now to just some of the administrative, organizational details of the course, the secondary readings that we'll be using.
好现在让我来另外讲一些关于这门课程的管理及,组成成分方面的细节，一些我们将要使用的阅读辅助材料。
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So let me move on now to the next lecture, " which is "Belief as Self-Fulfilling Prophecies".
现在开始下一课，“信念即自我实现预言。
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So this now is and up here is and let's put in numbers of quarters, so this will be, what will it be?
这一点是上面这点是,接下来我们把精度提高到1/4
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It runs about six minutes, so I'm going to let that go now.
这个大约要发放6分钟，现在开始放。
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So now in this problem, we can do something slightly different, and let's use this expression here,and I will do that, then I'll stop for today.
对于这个问题,我们可以稍微做点变化,让我们用这个式子,就是这样,今天就讲到到这里
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So let me tell you about-- I have slots now for four outside speakers.
我来介绍一下...,我将安排四位客座嘉宾
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Okay, so let's have us, now-- let me put a fermata over this.
好吧,让我们,放一个延长记号在这里
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So now let's look at the efficiency of our irreversible engine.
再来看看,不可逆热机的效率。
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So, I have to check for that, but nine times out of ten there's not going to be a problem so now let's do this.
所以，我需要做一个检查,但是通过十有八九,这不会出现问题，现在我这样处理。
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So now let's go ahead and fill in our molecular orbitals.
让我们继续填充分子轨道。
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So now let me pick up where we left off.
现在让我们继续我们代码。
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So now let's do it for all of the ions.
接下来将其拓展到所有的原子。
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So now let's try looking at something V2 where are V1 goes to V2.
现在我们考察一个过程,这个过程中系统的体积从V1变到。
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All right, so now let's see how we execute it, and do the calculations that allow us to calculate this. So, one, what's delta H in step one?
好，现在我们看看怎样操作它，怎样进行计算，第一步,步骤I的ΔH是多少？
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I now know it's got to be between these two statements. So let's put it there.
我现在知道肯定是,在这两个声明之间了。
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So right now,let's imagine two people with Napoleon's personalities, complete personalities,one of them in Michigan,one of them in New York.
那么现在试想一下，有两个人拥有拿破仑的人格，完整的人格，一个在密西根，一个在纽约。
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So, that's the kind of stuff: a little bit of background about myself. So now, 1 let's talk about the perspective of 3.091 All of this will be posted. You can take notes.
就是这些事情，我自己的,一点背景介绍，现在，我们谈谈这门课程的远景1,这些都会放到网站上去，你们可以记笔记。
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All right. So we've got it now let's test it. So we're going to do here we're going to run compare methods.
很抱歉，那些坐在后面的同学,想往前面来的请自便，我们已经做好准备,让我们去试一下，我们接下来将要做的就是。
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So again, for both heat and work we don't get the same result. Now let's look at our special function, right. So here's path A.
所以，再一次说明，对于热量和功,我们得到的结果是不同的,现在让我们看看我们的特殊函数。
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OK. So let's actually go to a clicker question now on radial probability distributions.
好，让我们来做一个关于,径向概率分布的题目。
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So this is my grades on the left hand table, but now let's look at what my pair will do, what my pair will get.
我的成绩写在左边的表格里,我们再看看我对手,她会得到什么成绩
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So now let's take a look at how else we could approach this.
现在让我们看一下我们还可以怎么处理它。
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