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And when you have an optimal substructure and the local solutions overlap, that's when you can bring dynamic programming to bear.
当你得到一个最优子结构,但局部解决方案有重跌时，你就可以引入动态编程,来解决这个问题了。
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You've got the model solutions, and there will be a test in recitation on Tuesday the 14th based upon that homework.
你们也有参考答案，在周二的背诵课上会有个测试,就是14号，基于你们的家庭作业。
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The poem then tries out different answers, answers that alternately explore transcendental and secular solutions.
该诗试图给出不同的回答，答案分别探索,超验和世俗的解决方法。
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So, we'll pick up with that, with some of the solutions and starting to talk about energies on Friday.
会去解薛定谔方程的某个方面，我们在周五,将从一些薛定谔方程的解开始。
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So sometimes the extra solution is very interesting and you should always listen to the mathematics when you get extra solutions.
所以有时候这些增根的意义很耐人寻味,当你解出增根的时候,别忘了想一想它的数学含义
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We need to think about solutions to this, right from the start of the class, and we already talked about something.
从一上课开始,我们就应该开始,思考这些问题解决方案,现在我们已经谈论了一些了
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And they were kind enough to send us this magnetic tank which we'll call forth from the computer solutions to a series of problems that would occur on a simulated flight to the planet Saturn.
他们很友善，送给我们这个有磁性的水槽,用于计算机解决一系列,土星模拟飞行中,可能出现的问题。
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So you know from algebra I can't actually solve this. There may be multiple solutions to this. What would I have to do to change my code? And the answer is fortunately not a lot.
我解不出来方程,可能会有多组答案,我需要怎样修改我的代码呢？,很幸运的,答案是不用修改很多。
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These are setups of pieces on the chess board that have particular solutions. And they're very complex, and they have a kind of aesthetic form to them.
象棋有些设置是有专门的,解决方法的，很复杂，它们有一种美学在里面。
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I want to try to understand in that lecture-- help us to understand how this works and how we're getting solutions--possible solutions to these problems.
在那节课我会,帮助大家了解这是如何发挥作用的,以及我们是如何找到,可行性方案来解决目前的问题
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It can be a spirit of investigating problems deeply and looking for solutions creatively.
它代表着一种,深入探索问题,提出创新性的解决措施的精神。
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The third group that was given the candies and put in a positive playful mood outperformed the other two groups significantly-- they thought about more options and they actually came up with better solutions with that problem.
第三组得到糖果,并获得积极愉快的心情,明显比另外两组有更好表现-,他们考虑更多选择,得出更好的问题解决办法。
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The radius of the orbit, the energy of the system and the velocity of the electron, I am just going to present you the solutions.
是轨道的半径，系统的能量,以及电子的速度，我接下来会给你们讲解其方程的解法。
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And the plurality of solutions have discrete values associated with them.
那许多解法得出,离散的值。
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We're going to be looking at the solutions to the Schrodinger equation for a hydrogen atom, and specifically we'll be looking at the binding energy of the electron to the nucleus.
我们将研究下氢原子薛定谔方程的解,特别是电子和核子的结合能,我们将研究这部分。
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Sometimes the simplest solutions are in fact the best and thus consistent with this constant reminder to ShuttleBoy Cards ourselves was born last year what we dubbed Shuttleboy Cards.
实际上，有时候最简单的解决方法就是最好的,所以按照我们一直的想法,我们去年做出了。
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