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The first way is just to turn the crank on the math, and the second way is to do a little bit more imaginative about the process.
第一个方法就是纯数学推导,第二个方法我们将对,这个过程做一些物理图像的想象。
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OK, in each case, what these things are doing, is they're doing, what sometimes gets referred to as operator overloading.
这将会是个默认的或者说是，通用的来比较对象是否相同的方法，好，在每个例子中，这些事情正在做的，就是,一些与操作符重载有关的东西。
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And so you'll learn over time both by seeing and by doing that there are generally some good ways, some okay ways, and some bad ways of actually writing code.
久而久之，你们将通过看和实践来学习到,这里通常有很好的方法，还行的方法，很烂的方法来编写代码。
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And we'll discuss the current research and why people get these disorders and what's the best way to make them better.
我们将会讲到当前的研究成果,解释为什么人们会患有这种心理障碍,以及什么才是治疗他们的最好方法
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It's not about marriage, and marriage will still seem quite a ways off, I fear, when you read Lycidas, but we will be marking the transition to the poetry of marriage soon enough.
那不是讲婚姻的，我担心当你们读《利西亚斯》的时候，婚姻仍是一个走出的方法，但是我们,将很快标记诗篇中关于婚姻的转变。
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This is a story that is predominantly in Genesis 2 and trickles into Genesis 3 and I'm going to look at it mostly in isolation from the first account.I'm going to be looking at it in light of an important parallel.
这个故事在《创世纪》2，3章中占据很重要的地位,我采用脱离对第一个故事的描述方法,将这两个故事，放在同等重要的位置上来解读。
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But right now, what I want you to be thinking of a wave function as is just some representation of an electron.
但是现在，我想让你们,将波函数仅仅理解为,一个电子的表示方法。
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Here, the problem is solved by injecting it directly into the cell, shown here, and then that's one issue with gene delivery.
现在,这个问题已经通过,将其直接注入细胞的方法解决了,图上这里,这只解决了基因输送的一个问题
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Plato wrote the dialogues as a kind of learning device, as a tool to help the reader get better at doing philosophy.
柏拉图写下这些对话录,是为了将其作为一种助学方法,作为一种帮助读者,更好的掌握哲学的工具
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In a certain way, I would want to flip your image around.
我想要以某种方法将你的画面反过来看。
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So the other guy is pricing below costs, the way which I avoid making losses is to set my price above his price.
所以另一家公司定价低于成本,我想要避免损失的方法是,将我的价格设定得比它高
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But it increasingly is going to be exploiting that energy using that geo-politically and ways that could be quite damaging to our interest.
但是它对能源开采的需求将会越来越大,作为地缘政略,采取会对美国利益造成危害的各种方法。
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So I'm going to find for you this result using calculus in a different way.
我将为你们展示,用不同数学方法得到的结果
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I'm going to say, "Ah, this is just what the text means," but at the same time, I'll be finding ways, without realizing it, of affirming certain kinds of meaning and discrediting certain other kinds of meaning -all the while saying, "Oh, it's just meaning. I'm not doing that."
我将会说，“啊哈，这就是作品的意思“,但同时，不必实现它，我会找到方法，来肯定一些意思,并怀疑另一些意思,同时说，“哦，这只是意思而已，我不会做那样做“
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Well, one way to understand what's good to eat for you is first to know a little bit about what you're eating, and that's where that daily plate exercise came into play.
要想了解吃什么好,方法之一是,首先了解一下你吃的是什么,在这里日常饮食规则将发挥作用
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One way of thinking about the metaphor of city and soul together is to think of it as a particular kind of causal hypothesis, about the formation of both individual character and political institutions.
思考城市与灵魂结合的方法,是将其想象成,是一种特别类型的,因果假说，关于形塑,个人性格与政治制度。
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Well, they could do all that and that's the knowledge that was in the palace that allowed the kings and his people to send out messages,orders to everybody to do what they did.
他们不断尝试将所积累的经验和知识,保存在王宫中,国王和他的子民可以发出通告或者政令,让所有人都实行他们的方法
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OK, and you can see that this thing ought to unwrap, it's going to keep extending out those multiplications until gets down to the base case, going to collapse them all together.
好，你可以看到这种方法,是怎么解决的,他一层层的将乘法展开一直到最底层,然后将他们一起乘起来。
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And so if you choose to elect the hacker edition of this week's problem set the challenge will be to figure out not only how to implement the game but how to implement a solver for the game.
因此，如果你选择这周的应用题目为升级版,那么你将面临的挑战,不仅是如何实现这个游戏，而且,要实现此游戏的解决方法。
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There's a way to actually grind down and prepare the flour, so that you promote the enzymes within the plant to breakdown the cyanide precursors.
有一种方法是将它们磨碎，做成粉，这样就可以促进它们本身带有,酶将氰化物的前驱体分解掉。
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Well, one way you can get it is by mixing the gene with lipids, with lipid molecules.
一种方法可以将基因与脂质体混合,同脂类分子混合
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But the other approach, and the one that I should warn you I'm going to take this semester, in this class, is rather different.
而另一种方法，我要提醒你们,我这个学期将采用，这个课题是不同的。
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The printout is simply telling me, what are the ranges of the search.
你可以看到这个方法每次都将，原问题的规模缩小了一半。
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OK. So we should be able to figure this out for any orbital that we're discussing, and when we can figure out especially radial nodes, we have a good head start on going ahead and thinking about drawing radial probability distributions.
我们可以将这种方法,用于任何轨道，当我们可以算出有多少个径向节点的时候，我们就为画出径向概率分布,开了个好头。
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And developmental psychologists use many ingenious methods to try to pull these apart and try to figure out what are the basic components of human nature.
发展心理学家们使用了许多巧妙的方法,试图将这些因素分开,试图找出人性的基本成分,究竟是什么
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This thing here hints at more sophisticated approaches we'll soon take.
这意味着在不久后，我们将使用一些更高级的,调试方法。
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Even though you'll see a whole bunch of constructs today and even throughout the course, you will find that there's often multiple ways to implement something, and it will be up to us to guide you toward better design and making in giving two different options the better choice as time passes.
即使今天乃至整个课程中,你们将了解到很多的结构，你将发现,这里有很多的方法来处理一些事情，这将引导你们做更好的设计,随着时间的推移，从两个不同的选择中,选择一个更好的。
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Here, the plasmid is directly injected into a cell.
这里用的方法是,直接将质粒注入细胞
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