And what we find out is the wavelength of a Matsuzaka fastball is 1.1 times 10 to the -31 meters.
我们算出松阪快球的波长,是1,1乘以10的负31次方米。
he throws the ball and then the receiver or someone else can catch it and then they run with it.
他扔球,然后接球的或者其他人可以抓住球,带着球跑。
For example, if we're talking about a pitcher, like Matsuzaka, we might want to know the speed of his average fastball.
举例来说,如果我们谈到一个投手,就像松阪,我们想知道他投出,快球的平均速度。
So right footed players find it easier to shoot to the left as facing, to shoot across the goal.
习惯用右脚射门的球员从左路进攻,会更容易把球射入球门
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。
He has a little ball. A little two- or three-year-old kid has a ball.
他有一个小球,一个两或三岁的孩子有一个球。
The question of where is the ball really is a question about the physical world.
球在哪里的问题,实际是一个现实世界的问题
That's like bocce. We have this sort of metal ball.
有点像室外地滚球 用这样的金属球
and he played on that team I told you about in Finland, Jokerit, so I think that's why I like him.
他在我跟你说的祖卡列特也打过球,我猜我因为这个喜欢他。
I just want to exercise or something I'll go and play soccer, basketball, dodge ball, things like that.
我想锻炼的时候我就去踢足球、打篮球、打躲避球,这一类的。
You know, your mother always told you to eat brussels sprouts because it was good for you.
你知道的,你的母亲经常会,让你们吃球芽甘蓝,因为这对你身体有好处。
There are no other molecules on that side of the wall. So there's an attractive force that makes the velocity within not quite as fast.
墙的另一边没有分子,因此吸引力,会降低球的速度。
What does it feel like to be the machine while it's looking at-- while it's got its little light sensors pointed at--the red ball?
当机器以电子眼,对着那个红色的球,它会有什么样的感觉
and you've got to hit a ball which is on the ground with a sort of croquet mallets.
你要用一个类似木槌的东西去打击地上的球。
so you get the other team go out and what they do is field.
另外一队在外面,他们要做的就是截球。
So because of my height, in school, they would give me the ball.
所以在学校里他们会因为我的个子高而把球传给我。
and then they have like a really good point guard named Steve Nash,
然后他们有个很不错的控球后卫叫史蒂夫纳什,
So, if we're trying to figure out the wavelength of a Matsuzaka fastball, we need to consider the velocity first, which is 42 miles per hour.
如果我们尝试计算一个,松阪发出快球的波长,我们首先需要考虑速度,每小时为42英里。
I would expect, whether you're a Red Sox fan or not, you to be able to look at a list of different pitchers and their average velocity for their fastball, and tell me who has the longest or the shortest wavelength.
无论你是否是一个红袜队球迷,我预想你会看到一系列,不同的投手和他们,投出快球的平均速度,告诉我谁有最长的,或者最短的波长。
If you're really into it and you're at MIT, maybe you want to know the wavelength of these average fastballs. So, let's go ahead and look at that.
如果你真的深入到这个问题中去,而且你在麻省理工学院,也许你会想知道这些快球的波长,所以我们继续来看这个问题。
Portsmouth had a penalty and the guy who was going to take the penalty came up to kick the penalty and he kicked it to the middle and it was saved.
朴茨茅斯获得一个点球,主罚点球的球员站在球门前,一脚把球射向中路,门将扑救成功
So 1.1 times 10 to the -31 meters is not, in fact, a significant number when we're comparing it, for example, to the length of a ball, or the size of the baseball field.
所以1,1乘以10的负31次方米,事实上并不是一个很重要的数字,举例来说,当它与一个球的长度,或者一块棒球场地对比时。
Tim Wakefield Tim Wakefield on the DL right now throws a lot slower, because he has that tricky knuckle ball, he doesn't need to throw as fast.
现在受伤停赛的,投的很慢,因为他有一个很难处理的指节球,他不需要扔的很快。
So, click one if you think that he's going to have 1 the longest wavelength.
如果你认为他投出去的球,波长最长请点击。
Those of you who have your ping-pong balls can now begin the experiment.
好,我们会到这边来把球给你们,已经拿到球的同学就可以开始试验了。
And the example we'll pick is considering, for example, a Matsuzaka fastball.
我们举例来考虑的是,一个松阪的快球。
We know we need to divide by 266, 266 but what we need you to help us with is to figure out this top number here and see how many particles are going to backscatter. So if the TAs can come up and quickly hand out 1 particle to everyone.
知道背散射的概率就可以了,我们知道要除以,但还需要你们来搞清楚,分子上的数是多少,有多少个发生背散射的粒子,助教们请过来,把这些球分给同学们。
It makes sense to draw the wave function as a circle, because we do know that 1 s orbitals are spherically symmetric.
把波函数画成一个圆是有道理的,因为我们知道1s轨道是球对称的。
This is the radial probability distribution formula for an s orbital, which is, of course, dealing with something that's spherically symmetrical.
这个s轨道的,径向概率分布公式,它对于球对称,的情形成立。
This is what we do in the South of France with a little chardonnay on the side.
我们在法国南部玩掷球游戏的时候,手边都会放一杯夏敦埃酒
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