To the monkeys we show them the spots, to us, we will put up keys on the key board.
用猴子做试验的时候,我们给它们看那些点,我们给它们看那些点,我们是用电脑的键盘来做。
You could ask them what they want to do by using this pattern.
你可以用这个句型来询问他们想做点什么。
And the idea is that when you do these Lewis dot structures, we're representing electrons with dots, which we'll see in a minute, and each dot is going to represent a valence electron.
而当你遇到这些路易斯点结构时,我们会将电子用点来表示,我们马上就会看到,每个点都代表了一个价电子。
Well one thing I might want to do is say, is this the same point or not?
我们可以想想可以,用这些点来做些什么了?
Let's go into the third version of this and then start doing something with these constructs.
让我们进入这个程序的第三版,开始用这些概念来写点东西。
So now in this problem, we can do something slightly different, and let's use this expression here,and I will do that, then I'll stop for today.
对于这个问题,我们可以稍微做点变化,让我们用这个式子,就是这样,今天就讲到到这里
You can see the different points-- I've calculated this using data from 1983 until 2006-- and I computed all of the inputs to those equations that we just saw.
你可以观察不同的点-,我用从1983年到2006年的数据-,代入我们刚教授的等式,进行了计算。
Well,if you go back to the formation of musical notation from the ninth through the twelfth centuries we see that very early on these two dimensions of music the two axes of music that we talked about before pitch vertically and duration horizontally, are in place and we have these spots in this grid.
回顾一下从公元九世纪至二十世纪,音乐记谱法的历史形成过程,我们可以看出,音乐的两个维度,就是我们之前提到的音乐的两个轴,纵轴是音高,横轴是时值,在早期已经存在了,我们在这样的网格上用点记录
If you want to really understand this in a practical sense, it's more as though these guys are hired hands.
用更现代点的观点来解读,他们更像是雇农
So let's just be a bit more formal.
我们用正式点的语言来表达吧
Such where the deep transported mind may soar Above the wheeling poles, and at Heav'n's door Look in, and see each blissful Deity Now the graver subject that Milton is intending at some point to expound upon is clearly an epic one.
埋藏于心底的思想会,冲天而上并到达上帝的门前,往里一瞥你会看到每个快乐的神,现在弥尔顿正打算用更庄重的主题,详细点说就是史诗。
Just take a look: if this is 9, 5 divided by 9 is always going to be 0 point something, and if you thus have two integers and you're rounding down, which is what happens when you do integral math we're using this operator, I'm going to get zero times whatever.
稍微看一看:如果这是9,5除以9会得到,0点几,如果你用两个整型数,你舍去小数,这就是当你们,用整型数使用这个操作的所发生的事情,我将得到数值0乘以任何一个数字。
So, just give me a little bit of time to find out maybe by soliciting e-mail responses from you what would be a good time for my office hours.
所以,给我点时间考虑一下,或许我会用电子邮件发一个小问卷调查,然后我来决定什么时间最合适
And we can just extrapolate in a straight line We before saw some examples where I had an algorithm to generate points, and we fit a curve to it, used the curve to predict future points and discovered it was nowhere close.
我们可以干脆用一条直线来描述它,我们之前看到在一些例子中,我用一个算法去生成一些点,然后用一条曲线对它进行拟合,然后用这条曲线来预测未来的点,最后却发现结果完全不对。
So v of t, v is the limit, and we use the symbol dx/dt for velocity.
点的速度等于一个极限,我们用符号dx/dt表示速度
Now, these comments, frankly, are brain-damaged, or computationally challenged if you prefer.
现在,这些注释,实在点说,没什么用,或者说是对计算有挑战的,如果你喜欢这么说的话。
That's called the regression line and the intercept is called alpha--there's alpha.
这就是回归直线,这个是截点,用alpha表示...这里是alpha
And that's a wonderful thing to have because it gives you that modularity, that encapsulation that basically says, when I create a point, the only way I can get at the values, is by using one of the defined methods, in this case it could be Cartesian, Cartesian and get all the pieces of that.
这是很棒的一件事情,因为它让你有了,模块性以及封装性,这基本上也就是说,当我创建了一个点,我能够得到它的值的唯一的方式,就是用一个定义好的方法,在这个例子中也就是。
Third one is, it may depend on which version of Python I'm running.
第三点就是,这可能会和我,用的Python的版本有关系。
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