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I want the function, which is a little tool, a line of code I can include in my own programs and generally those tools live in sections two or three of the manual.
我想要一个函数，那是一个小工具，在我程序中可以包含的一行代码,通常这些工具在手册的第二节,或第三节。
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And just to look ahead a little bit, you could easily imagine that I might want to not just put a statement in there, what the specs are, I might want to put some constraints. Some specific things to check for, to make sure that you're calling the code right.
这不仅是抽象的概念还有规范的概念，我们再往前看看,你可以简单的想象得到，我不仅仅是想在这里加一个声明,这些规范说明中我还想加一些约束，我们要注意一些特殊的事情。
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Modern poetry, as we study it in this class and, I think, as you see it in this anthology, is an international phenomenon.
我们课上学习的现代诗歌，你们在诗集中可以看到，我认为是一个国际现象。
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Yeah, I can imagine a world in which my mind exists but my body doesn't.
是的,我可以想象在一个世界里,我的心灵存在,而我身体不存在
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You can pick a point and say, "I'm at the point ."
你可以选一个点,然后说,"我在,点处"
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And actually, if I don't want to clobber, as we say, overwrite the value of my variable, ; I could declare another one and store the return value in Y; Y so now I have two ints in memory; X and Y, 3 one with two, one with three.
实际上，如果你不想彻底清除，像我们说的，覆盖那个变量的值，我可以申明另一个变量Y，并在Y中保存那个返回值;,现在内存中有两个int数，X和，一个的值为2，一个为。
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The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件？,我要将问题分解到何时才使得问题,小到可以解决的基本问题？,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
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I've added the ability to have more complex data structures here. But I dropped a hint in the first lecture about what you could computer with things. In fact if you think for a second about that list, you could ask what can I compute with just that set of constructs?
我添加了使用更复杂的数据结构的能力,但是我在第一节课给大家了了一个,关于你可以用什么来做计算的暗示,实际上如果你思考,这个列表一会儿的话,你会问我可以用？
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So this first little piece of code right here says, ok you give me 2 points, I'll create another 1 of these lists and I'll simply take the x, sorry I shouldn't say x, I'm going to assume it's the x, the x-values are the two points, add them together, just right there, the y-values, add them together and return that list.
好，为了来认识到这一点,让我们来看一个简单的小例子，在你们的课堂手册上，你可以看到我写了一个小程序,它假设我得到了，这些点中的一些，我想对它们做一些操作，例如我想把它们加到一起，那么这里的第一小片，代码的意思是，好给我两个点，我会再创建一个数组。
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I spotted an error here, I could have spotted it by running it on different test sets, and using prints things, another way of doing it, but this idea of at least simulating it on simple examples lets you check a couple of important questions.
操作么？我在这里发现了一个错误,我也可以通过运行不同的测试集，或者运用print声明来发现这个错误，但是至少应该用简单的例子来手工模拟下,代码的思想可以让你,对一些很重要的问题进行检验。
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I can build class stock, and I can test class stock, before I have a class market.
我可以建立一个stock类，然后在有macket类之前测试这个类。
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Instead I'm going to be expecting the address of some int and the address of another int and thanks to this address I can literally find this address in RAM, do anything I want there, -- return and what I've just done is actually changed or mutate the values of those original variables.
我们所期望的是int型地址,和另外一个int型地址,幸亏这个地址，我可以找在RAM中找到它的地址，然后做我想做的事情，返回我处理后的东西,我可能改变了这些源变量。
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It's reasonable because it's meant TMP for temporary purposes just to call it temp or T-M-P for short, X and I can define temp as -- why don't I set it as equal to X, initially, because now that I've stored X in a separate chunk of memory, I can now change its value and then I can say Y gets, not X, but temp, and so now I've actually swapped these values.
这是合理的，因为它是为,暂时的目的，只要叫它Temp或简称它为，我可以定义temp为--为什么我不把它设定为等于，最初的，因为现在我把X存储在一个单独的内存块中,我现在可以改变它的值，然后我说Y等于，不是X，而是temp，所以现在我交换这些值。
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