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But when you start doing scientific research or financial work, imprecision and rounding errors start to add up.
但如果你碰到涉及科学研究,或财政方面的项目时，不精确度,和错误就会累加。
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This piston is being brought out, so we expect 0 the work to be negative, negative. And we start o V2 ut with zero volume. We end up with a volume p2 of V2, and the external pressure is constant to p2.
所以我们可以想象功是负的,开始的时候体积是,最终的容积是,外界的压力恒为。
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Now you the smart human with just gut instincts probably would not be so naive as to start from the left and work your way forward.
但你们都是聪明人,不会傻到,从最左边开始一页一页往后找。
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So, if we're talking about five different orbitals and we're talking about a ground state atom, we know that we just need to start at the bottom and work our way out up.
因此，如果我们要讨论的是,五个不同的轨道且是属于一个基态原子的话，我们知道，我们只需要从最低的轨道,开始一个一个往上找。
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The problems are set up so that, if you start down the right path, it should be pretty straight-forward to work it through If you start down a plausible but incorrect path, you can sometimes find yourself stuck in the weeds somewhere, and we want to bring you back in.
问题提出了，如果你从，一开始就走正确的道路，解决的途径,就一目了然了,如果你走上一条貌似正确但实际错误的道路，你会在某时某刻,发现自己陷入泥沼，于是我们就会把你拉回来。
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We're going to start at the right and work to the left.
我们先看右边,再移向左边
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We want to health care work, for people and businesses, s hard to know where to start.
我们希望医疗体系，为民众和企业服务，哦，这个话题很大，不知从何说起，Oh，，my，，it’
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You've got to spend the time to make sure that everything is well defined before you start trying to work out these problem More about the path. There are a couple ways you could go through that pass If I look at this smooth path here.
你要花时间确认,在你开始尝试解题前,切已经被很好地定义,关于路径还有些问题,你可以用两种不同的方式经过这条路径,看这条平滑的路径。
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So if you need the help of the notes it's in there but I would urge you to work through it on your own, and it's the following: let's start with the same path A, all right?
如果你需要帮助，可以去看讲义,但我还是希望你们自己去推导它,它是这样的，让我们从：,相同的路径A开始，好吗？
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