Maybe I should make a bigger-- let me do it here, I can fit it in here I think.
也许我该弄个更大的...,要不我画在这儿吧
I'm going to throw it, or raise it, to use the right term to somebody in case they can handle it, but it's a particular kind of exception I might do something like, remind you I have test.
编译器就要抛出他或者提出它,用正确的描述给某个人来处理,但他的确是一种异常,我来做些类似的事情,告诉你我有些测试。
You can't do it because, I don't do mornings or because my girlfriend is in this other section.
你不能只是因为,我不想上早上的课因为我女朋友,选的是另一个时间的课。
Let's try to do part of it in the head, so I can just write down the answer.
让我们先试试前面的一部分,我就直接写答案了
If you zoom in up top, which I can't quite do with a keynote here, it says, "This last minute shopping, bargain hunting."
如果你想追根究底,我也不能,在这里做一个主题演讲,它说,“这是最后一分钟购物,特价商品大甩卖“
One of the things I was to say in my introduction, but I can do it now.
有一条我本来想在引入部分说的,我现在就说了吧。
What Hicks said--this is the coffee hour conversation at The London School of Economics he said, it's right now 1925 but if you want to invest or borrow in 1926 I can do it for you.
希克斯在伦敦政经学院的那次,咖啡时间中谈到,现在是1925年,但如果你想在1926年投资或贷款,我可以帮你实现
And if I do that then I can find out the change in enthalpy of this reaction. It's just going to be the heat of formation of these three moles of water, minus the heat of formation of the iron oxide. OK.
我就能得到这个,反应的焓的变化,它就是三摩尔水,的生成热,减去氧化铁的,生成热,好。
It's really been a powerful tool in molecular biology because I might have a very small copy of a gene that I'm interested in and I can make enough copies that I can start to do something else with it.
这确实是分子生物学的一项利器,因为我可能只有,很少量的感兴趣的基因拷贝,而我可以马上制造出足够数量的复制品,能使我用作其他用途
There are so many ways in which that has changed the world, but I can't do justice to it but Hanson does, so if you want to read, fields Without Dreams, you can ponder the significance of this great change.
有太多改变这个世界的因素了,我很难全部都客观地讲出来,但是汉森可以,你可以在《遗梦之野》中有所了解,你可以仔细琢磨这些伟大的变革
Well, what I always do in anything like this is, the first thing I do is, I run it on something where I can actually compute the answer in my head. So I get a sense of whether or not I'm doing the right thing.
好的,我常常在,这种问题中会做的是,我会做的第一件事是我,会先带入我可以心算的值来运行,因此我能够知道我是否做对了。
I can't rely on Professor Guttag if I give this- if this code to him, I can't rely on him to type in a float. Actually I can, because he's a smart guy, but in general, I can't rely on the user-- I wouldn't do it right to see if you did.
当Guttag使用这段代码的时候-,我不能相信他一定会输入一个浮点数,实际上我能因为他很聪明,但是总体上来讲,别相信用户一定会按照规则来-,我会故意做错来试试你的程序的。
Now, when you work with components, Ax and Ay, if I didn't mention it, they are the components of the vector, you can do all your bookkeeping in terms of Ax and Ay.
当你们在计算分量 Ax 和 Ay 的时候,即使我没有说明,你们也要记得它们是矢量的分量,你们可以都用 Ax 和 Ay 的形式来表示
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