I'm going to say, quite to the contrary, the positive charge is concentrated at the center in a tiny, tiny, tiny volume.
我要说的是,完全相反,正电荷集中在中心,在一个非常非常小的体积内。
I don't get... feel like everyone's kind of in a smaller confined area here and LA is... everyone's spread out, so.
我从没有过其他人这种感觉……他们觉得这是个小地方,而洛杉矶是非常广阔的。
We can actually have any radius, but some radii just have much, much smaller probabilities of actually being significant or not.
非常非常小,以至于,无关紧要,我们今天。
He's saying they're doing great work but they forget this one little thing: you cannot reconcile rhetoric and grammar.
他说的是,他们做得非常好,但是他们忘记了一个小问题,修辞和语法是不可能和解的。
All right, let's take the example of, the extreme example, let's go to the extreme example where p external is really small.
好了,现在我们来,看一个,极限情况,当外界压强非常小。
And if you could just meet up with the teaching fellows for our little -- our legal department, that would be great.
如果你们可以和研究生助教碰面,在我们的小法律部,那将是非常好的。
It has to be small, and it has to be lipid soluble in order for it to pass through a cell membrane.
这些分子必须非常小,而且必须是脂溶性的,才能穿过细胞膜
So things that are good candidates for divide And conquer are problems where it's easy to figure out how to divide down, and the combination is of little complexity.
因为适合用分治算法解决的问题,最好是能够简单的将问题进行分解,并且合并的过程不是非常的复杂,只要比线性方案要小。
The percentage of the population who was noble, who had noble titles, was extremely small.
在人群中贵族,或者有贵族头衔的人,其所占份额非常小
So, the probability that the whole city burns down is infinitesimally small, right?
在这样的假设下,整个城市都被烧掉的概率,是非常非常小的
A number of men, as one historian has written, I think quite effectively, "Mounted from log cabin to mansion" and I quote "On a stairway of cotton bales accumulating slaves as they went."
一些人就像一位历史学家写的那样,我觉得非常犀利,引述一段,"小木屋通往大厦的阶梯正是由,奴隶们用棉花包堆积成的"
And, you get these tiny little negatives running around.
有一些非常小的带负电的东西在它周围运动。
which is crazy because it's a little basement flat, but because of where it is.
这非常疯狂,因为它只是一个小的地下室公寓,只是它的地理位置好而已。
Very small. And big fields outside the back of my house.
非常小。我家后面有一块大的田地。
The minerals are present in small amounts in food and as a function of body weight as well.
矿物质,在食物中所占比例非常小,在体重中所占比例也非常小
And I went to the school where I was a member of a very small minority group.
而在我上的大学里,我则属于一个非常小的少数人群体。
He was a very good trumpeter.
而他是个非常好的小号手
ve been very rough on him.
托马斯,您对小布什一贯非常批判,Tom,,you’
I mean they take up a teeny bit but essentially when we're thinking about the set up of the atom, we don't have to account for them as using up a lot of the mass we're discussing.
所以我们可以假设电子没有质量,它们占据了,非常小的一部分,所以当我们考虑,原子的构造的时候,不用考虑它们的质量。
So, that is just a quick example for some of you, you might be very familiar with ion channels, others might not know what these are, so I'll just tell you quite briefly that ion channels are these very massive transmembrane proteins.
这对你们中的某些人来说仅仅是个小例子,有些人可能已经非常熟悉离子通道这个概念了,但有些人可能还不清楚,那么就让我来简单地介绍一下离子通道,就是这些巨大的跨膜蛋白。
So, we would actually need a really, really, really tiny velocity here to actually overcome the size of the mass, if we're talking about macroscopic particles, to have a wavelength that's going to be on the order.
是10的负34次方焦耳每秒,所以如果我们谈论的是要一个,宏观粒子有相应数量级的波长的话,我们需要一个非常非常非常小的速度来。
So, that can be a little bit confusing for us to think about, and when it's a very good question you might, in fact, say well, maybe there's not zero probability here, maybe it's just this teeny, teeny, tiny number, and in fact, sometimes an electron can get through, it's just very low probability so that's why we never really see it.
这想起来有点令人困惑,你们可能会说也许,这里的概率并不是严格的为零,而是非常非常小,所以有时电子就可以穿过去,这是个,很好的想法。
Because we know as we go to infinity, even though the density gets smaller and smaller and smaller, we still have electron density very far away from the nucleus.
因为我们知道即使到了无穷远处,尽管电子密度会变得非常非常非常小,但我们仍然有一定的电子密度,无论离原子核多远。
There's hardly any vapor pressure above your ice water glass.
冰水混合物上方,水蒸气的气压非常小。
What the Dutch did--the Netherlands is an extraordinarily small country, and it's the most populated country in Europe, then, per square kilometre, and is now--once.
那些荷兰人...荷兰是一个,非常非常小的国家,也是当时欧洲人口密度最高的国家,如果以每平方公里人口计算,现在也是
Look at beryllium 2 plus, very tiny, charge plus two.
例如铍二正离子,非常小,带2个单位正电。
So you can either say that electrons are very, very tiny or that they're never ending, and both are pretty accurate ways to think about what an atom is.
所以你既可以说,原子非常非常小,也可以说它是不会终止的,这两种说法,都是正确的。
PROFESSOR: Much, much smaller the positive particle.
教授:非常非常小,比起正电粒子的质量。
But the fact is there are trace, trace amounts.
但事实是它的含量非常,非常小。
So, what we can do to actually get a probability instead of a probability density that we're talking about is to take the wave function squared, which we know is probability density, and multiply it by the volume of that very, very thin spherical shell that we're talking about at distance r.
我们能得到一个概率,而不是概率密度的方法,就是取波函数的平方,也就是概率密度,然后把它乘以一个在r处的,非常非常小的,壳层体积。
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