It has nothing whatsoever to do with the question of simply the size of Satan's shield, and we realize that we have to redraw the schema into which we fit this simile.
实际上这和撒旦屏障的大小,并无实际的关联,我们得重新规划屏障的大小,来适应这个比喻。
OK, so let's go through this and see what we would do which is to calculate the heat and the work. This is well insulated.
好的,让我们开始然后看看,我们该怎样计算热量和功的大小,这是完全绝热的,所以。
It is about 10,000 to one, the ratio 10000 of the nuclear dimension to the entire atomic dimension.
原子核和整个原子的大小比例,约为1:
So basically, at the time he was just going on size and then traits, but what we actually know today is that we can also order things in the periodic table by electron configuration.
基本上,在当时他只能通过大小,和特性来进行,但是现在我们已经知道了,我们还可以通过电子排布来对它们进行排序。
Just as soon as we crowded our imagination already with the image of the spear the size of a Norwegian pine, which took a certain imaginative leap on our parts, we realize that Satan and his spear are immeasurably larger even than that.
我们已经对于,那棵已然吸引了我们大量注意力的挪威松木,及和之相比的长矛的大小浮想联翩了,我们意识到撒旦和他的长矛甚至比松木还要广大无边。
The North and the South had roughly, as the Northern and Southern states, the Free states and Slave states, had roughly the same geographic size.
北方和南方大致上,北方和南方的各州有,自由州和蓄奴州的区别,但其地理大小总体上相同
But medium today is not what medium used to be, and because of that people really make a lot of errors in understanding how much a portion is.
但现在的中包薯条和过去的大小不同,因为这,人们理解什么是每日摄入量时,就犯了很多错误
It didn't depend on the size of the input.
这和输入的大小是无关的。
sine and cosine are definite numbers.
正弦和余弦都是有限大小的数
So, essentially you've got a positive ball which is identical to the size of the atom.
首先你要有一个和原子差不多大小的,带正电荷的球。
If we think of the size of a typical atom, we would say that would be about 10 to the negative 10 meters. So, we can see the diameter of a nucleus is absolutely smaller really concentrating that mass into a very small space.
一个普通细胞的大小,抱歉,我和细胞核搞混了0,如果我们考虑,一个普通原子的大小,这大概是10的负十次方米,所以原子核的直径确实非常小,真的是把质量。
Now this is a little counterintuitive, because very often people underestimate the amount of calories in things, but what's important here is the-- the error, the size of the error.
这与我们的直觉有些相反,因为经常性地,大家低估了卡路里含量,重要的是,误差和误差的大小
Now this happens to be what we would call a linear process, because the number of times I go around the loop is directly related to the size of the argument. If I double 2 the argument, I'm going to double the number of times I go around the loop. If I increase it by five, 5 I'm going to increase by five the number of times I go around the loop.
这恰好是我们会成为,线性复杂度程序的一个例子,因为我要执行循环的次数是,和输入的参数的大小直接相关的,如果我将这个参数乘以,那么我就要将进行循环的次数也乘以2了,如果我把参数加上,那么循环的次数也要加上5了。
Right. I don't want to give it too many different names, because F2, 3 and F3, 2 are equal and opposite.
没错,我不想用太多不同的名字,因为 F23 和 F32 大小相同方向相反
And that's just a way of reminding you that we want to think carefully, but what are the things we're trying to measure when we talk about complexity here? It's both the size of the thing and how often are we going to use it? And there are some trade offs, but I still haven't said how I'm going to get an n log n sorting algorithm, and that's what I want to do today.
这只是在提醒你们我们要仔细的思考问题,但是当我们在讨论复杂性的时候,我们到底要衡量哪些东西?,是列表的大小和对其进行查找的频率吗?,这里面临一些取舍,但是我还没有说明,怎样得到一个n,log,n复杂度的排序算法,并且这是我今天想要讲的内容。
For example, a portion of pasta according to the U.S. Department of Agriculture would be about the amount of pasta that would be the size of a tennis ball.
比如说,意大利面的每日摄入量,根据美国农业部,是如此的份量,大概和网球一样大小
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