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When you can help someone new in town solve a problem, you feel good about it.
VOA: special.2010.07.16
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We don't have to worry about how you solve it, but it's problem in mathematics and the answer will be--surprise, it's going to be oscillating back and forth and that'll come out of the wash.
我们没必要去担心这个方程该怎么解,但这个数学问题的答案将会是令人惊讶的,弹簧会来回振荡,问题就迎刃而解了
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so that you can solve it in the best and most efficient manner.
这样便可以用最好，最有效的方式解决问题。
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"How did you solve the mystery?" "It was simple,my friend," he said.
VOA: special.2009.12.26
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Don't be intimidated. Even though it is apparently exponential, a lot of times you can actually solve it much, much faster.
别怕，即使它,很明显是指数型的，很多时候,你都能更快的解决它。
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"It doesn't tend to solve you any problems right away. It may create you a context in which it is a little easier to have negotiation,".
VOA: standard.2009.10.09
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So, all you will have the opportunity to solve differential equations in your math courses here. We won't do it in this chemistry course. In later chemistry courses, you'll also get to solve differential equations.
你们在数学课中有机会,遇到解微分方程,我们在这化学课里就不解了,在今后的化学课程里，你们也会遇到解微分方程的时候。
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I'll get you to solve it out on a homework assignment, so you can actually prove that.
我让你们回去做一次作业,你们就都明白了
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> So this is just a dumb text editor called Nano, dumb in that it's very simple which is nice because it eliminates a lot of the complexities of learning a new tool when really all you wanna do is solve an actual problem.
这是NANO文本编辑器，它很简单，可以消除因学习这个新工具,而带来的许多复杂问题,你真正需要做的就是解决一个实际问题。
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Solve this equation for t*, put it there and that's where you land.
从这个等式里解出 t*,代入那个式子就知道落点了
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All right. So you solve the problem and then, lo and behold, it turns out that: It is my friend Bumpy. Bumpy gives me a push.
好了，你们解决这个问题，然后，你瞧，结果竟是：,这是我的朋友，颠簸，颠簸推了我一把。
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I am going to show the equation, but I don't expect you to solve it.
我将给出这个方程式，但我不期望你可以得出解。
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So I haven't done magic, I've given you a really fast way to solve a knapsack problem, but it's still exponential deep down in its heart, in something.
所以我并没有施魔法，我已经告诉了你,一种快速解决背包问题的方法了,但是某些方面它的核心仍然是指数增长的。
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If you look at solve 2, it's going to solve2 run through the same kind of loop, printing out all of the answers.
我会让你们看一看,如果你在看，那将运行相同的循环。
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So, we just want to appreciate that what we'll be using in this class is, in fact, the solutions to the Schrodinger equation, and just so you can be fully thankful for not having to necessarily solve these as we jump into the solutions and just knowing that they're out there and you'll get to solve it at some point, hopefully, in your careers.
所以，我们仅仅想要鉴别,将会在这门课中用到的，事实上就是薛定谔方程的解，而且你们可以非常欣慰,因为你们没有必要去,解这些方程而是直接用它们的解,并且知道这些解出自那里,希望你们在学习生涯中。
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You'd pull out your pencil and paper, you can do it as a matrix inversion if you know how to do that, or you can just simply do substitution of one equation into another to solve it.
你知道你在小学的时候是怎么做的对吧？,你拿出你的笔和纸,如果你会的话,你可以解一个方程组,或者你可以单纯地。
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What I want this class to be is a class where at least sometimes, like on this homework assignment, I set up a model for you, set up the story for you, and then you have to actually figure out how do I set this up properly and how do I solve it out?
我希望这个课程是至少在某些时候,就像这次家庭作业,我为你们设定一个模型,设定故事情节,然后由你们自己实际操作,如何恰当地设计并解决它
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We'll talk more about this later, but it often happens that when you change your program to solve one problem you break it, and things that used to work don't work.
我们以后会更多的去讨论者一点，但是经常发生的情况是当你因为,一个问题修改你的程序的时候,你修改了程序,但原来没问题的模块。
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Normally, if I tell you 3x + 4y = 6, and 9x + 6y = 14, you know how to solve it.
一般来说,如果我给你两个方程 3x + 4y = 6,和 9x + 6y = 14,你们肯定会解
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When solve is done, it wraps up, if you like, a value that it returns. Which is that.
如果你喜欢的话可以返回一个值，就是这个。
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Well, I solve 2 or 3 exponential problems before breakfast every day. You know things like, how to find my way to the bathroom is inherently exponential, but I manage to solve it anyway.
你要知道如何找到,我的浴室就是一个，固有的指数型问题,但是我还是能解决它。
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It's a particle of mass m and momentum p has this energy so you solve for the energy, you get two answers.
一个质量为m,动量为p的粒子,有这么大的能量,你解出能量,得到两个解
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You solve for the t* from this one and you put it there.
从这里解出 t*,然后把它代入这个式子
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You won't have to solve it in this class, you can wait till you get to 18.03 to start solving these types of differential equations, and hopefully, you'll all want the pleasure of actually solving the Schrodinger equation at some point. So, just keep taking chemistry, 18 03 you'll already have had 18.03 by that point and you'll have the opportunity to do that.
你们不用在课堂上就解它，你们可以等到得到18，03之后,再开始解这些类型的微分方程，希望你们都想得到,实际解薛定谔方程的乐趣,所以，保持来上化学课，你们在那个点将会得到,你们有机会做到的。
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