• "We are going to need more taxpayer money up front. I think that another stimulus package is a reasonable probability, given the way things are going,"

    VOA: standard.2009.03.10

  • we have Nala and he meets this man, Rituparna, and this is where a probability theory apparently comes in.

    有那勒,他遇到的这个人,叫睿都巴若那,这就到了讲概率论的时候了

    耶鲁公开课 - 金融市场课程节选

  • But they're accountable and we can list all possible values when they're discrete and form a probability weighted average of the outcomes.

    但随机变量是离散的话,我们可以把所有的可能值列出来,然后算出加权平均值

    耶鲁公开课 - 金融市场课程节选

  • "If a woman gets breast cancer in the developing world, they has a much higher probability of dying than a woman who gets breast cancer in the developed world."

    VOA: standard.2010.02.02

  • The important point here is it's not just a probability, it's a density, so we know that it's a probability divided by volume.

    它不是概率,而是概率密度,所以我们知道,它是密,除以体积,我们。

    麻省理工公开课 - 化学原理课程节选

  • And we've already agreed that if I think it's equally likely they're going to choose right and left, that there's a probability ?

    而且我们已经计算过了,如果我觉得对手,选左选右的概率相同,即他们选右的概率为1/2时

    耶鲁公开课 - 博弈论课程节选

  • That probability is a lot to higher than 3 percent, right?

    是48的概率是多少,这个概率,比3%高的多,对吗?

    麻省理工公开课 - 计算机科学及编程导论课程节选

  • If the company gets too leveraged then there's too high a probability that the company will fail and there are costs to bankruptcy.

    如果公司的杠杆率太高,那么公司倒闭的可能性会极高,然后会产生破产费用

    耶鲁公开课 - 金融市场课程节选

  • And if we go ahead and square that, then what we get is a probability density, and specifically it's the probability of finding an electron in a certain small defined volume away from the nucleus.

    我们得到的是,一个概率密度,它是,在核子周围,某个很小的,特定区域,找到电子的概率,所以它是概率密度。

    麻省理工公开课 - 化学原理课程节选

  • Ian Hacking, who wrote a history of probability theory, searched through world literature for any reference to a probability and could find none anywhere before 1600.

    伊恩·哈金为概率论追根溯源,他查遍世界所有关于概率的文献,发现无法追溯到十七世纪以前

    耶鲁公开课 - 金融市场课程节选

  • Think of it as a probability density plot.

    把它看成是一个概率密度图。

    麻省理工公开课 - 化学原理课程节选

  • That's a probability.

    那就是概率

    耶鲁公开课 - 金融市场课程节选

  • And when we do that we can see this curve, this probability curve, where we have a maximum probability of finding the electron this far away from the nucleus.

    当我们这样做时,我们可以看到这个曲线,这个概率分布曲线,这里有发现,电子的最大概率。

    麻省理工公开课 - 化学原理课程节选

  • We have instead what's called a probability density when we have continuous random variables.

    所以我们用概率密度的概念来描述,连续型随机变量的情况

    耶鲁公开课 - 金融市场课程节选

  • Central tendency is a measure of the center of a probability distribution of the-- Central tendency is a measure-- Variance is a measure of how much things change from one observation to another.

    集中趋势用以描述,一组概率分布的中心,集中趋势...,而方差衡量的是,各个观察值之间的变化

    耶鲁公开课 - 金融市场课程节选

  • We attach a probability to an event. OK?

    我们举个实例吧,好吗

    耶鲁公开课 - 金融市场课程节选

  • So we can see if we look at the probability density plot, we can see there's a place where the probability density of is actually going to be zero.

    就能看到,有些地方,找到一个电子的,概率密度,我们可以考虑。

    麻省理工公开课 - 化学原理课程节选

  • For those of you who have had a course in probability and statistics, there will be nothing new here.

    对于已经,学过概率和统计的同学来说,这堂课就没什么新鲜的了

    耶鲁公开课 - 金融市场课程节选

  • And the reason that they're the least sheilded is because they can get closest to the nucleus, so we can think of them as not getting blocked by a bunch of other electron, because there's some probability that they can actually work their way all the way in to the nucleus.

    它们最不容易被屏蔽的原因,是因为他们可以更加接近原子,所以我们可以认为它们,最不容易被其它原子阻挡住,因为它们有一定的概率,离原子核非常近。

    麻省理工公开课 - 化学原理课程节选

  • But what we're saying is there's a node here, so that there's no probability of finding an electron between those two points.

    但我们说在节点这里,这两点是,不可能发现电子的。

    麻省理工公开课 - 化学原理课程节选

  • All right, so that will now allow you to turn the page, I think, and we can take a look at the probability.

    好了,现在你们可以翻过这页了,让我们看一看概率密度。

    麻省理工公开课 - 化学原理课程节选

  • The answer is, in fact, there is zero, absolutely zero probability of finding a electron here.

    实际上它在这里是为零的,在这里找到电子的概率严格等于零。

    麻省理工公开课 - 化学原理课程节选

  • So here, what I'd like you to do is identify the correct radial probability distribution plot for a 5 s orbital, and also make sure that it matches up with the right number of radial nodes that you would expect.

    这里,你们要辨认,哪个是5s轨道的正确概率分布,并且确保它和你们,预期的节点数相符合。

    麻省理工公开课 - 化学原理课程节选

  • So because we're feeling a stronger attractive force from the nucleus, we're actually pulling that electron in closer, which means that the probability squared of where the electron is going to be is actually a smaller radius.

    因为我们能感到来自原子核,的更强的吸引力,我们实际上会将电子拉的更近,那意味着电子运动的,概率半径是,事实上是一个更小的半径。

    麻省理工公开课 - 化学原理课程节选

  • It's a table showing the probability of dying at each age, for each age and sex.

    这个图表反映了两性在不同年龄段中,死亡的概率

    耶鲁公开课 - 金融市场课程节选

  • Another important concept in probability theory that we will use a lot is expected value, the mean, or average-- those are all roughly interchangeable concepts.

    概率论中另外一个常用的重要的概念是,期望值或者也叫均值,这两个概念可以互换

    耶鲁公开课 - 金融市场课程节选

  • So this line represents the expected payoff of shooting to the middle as a function of the probability that the goal keeper dives to the right.

    这条线表示从中路射门时罚球者的收益,是门将扑向右路概率的一个函数

    耶鲁公开课 - 博弈论课程节选

  • That should make sense to us, because when we talk about a wave function, we're talking about a probability divided by a volume, because we're talking about a probability density.

    因为我们说,波函数,是概率,除以体积,因为我们说的是,概率密度,如果我们用它。

    麻省理工公开课 - 化学原理课程节选

  • 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。

    麻省理工公开课 - 化学原理课程节选

  • So if we actually go ahead and multiply it by the volume of our shell, then we end up just with probability, which is kind of a nicer term to be thinking about here.

    乘以壳层的体积,我们就得到了概率,在这里从这个角度,理解问题更好一些,如果我们考虑的是。

    麻省理工公开课 - 化学原理课程节选

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