• 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

  • Anyway, the story ends and Nala goes back and is now armed with probability theory, we assume.

    不管怎样,在故事结尾,那勒回去了,我们知道他已经掌握了概率论的知识

    耶鲁公开课 - 金融市场课程节选

  • So if I shoot to the right and the goalie dives to the left, then I score with probability point 9 or my payoff is 9.

    如果我从右路射门而门将扑向左路,我进球的概率是90%,即收益是9

    耶鲁公开课 - 博弈论课程节选

  • 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。

    麻省理工公开课 - 化学原理课程节选

  • So in all probability, anyone who was associated with the hated occupying regime would be treated poorly It all seems to fit.

    因此极有可能,任何一个人,与当权政府有关系的人都遭受虐待,一切看来没什么不妥。

    耶鲁公开课 - 旧约导论课程节选

  • I've learned that with high probability, the error is not in the first part of the program.

    我从这一点得到了什么?,我得到的是错误有很大的可能。

    麻省理工公开课 - 计算机科学及编程导论课程节选

  • So if the other person's choosing Right with probability 0, that's the same as saying they're going to choose Left, and if I chose Middle against Left, I get what?

    如果对手选右的概率是0,也就是说对手选左,此时我选中的收益是什么

    耶鲁公开课 - 博弈论课程节选

  • So one way to think about it is, is the expected distance from her of the winning candidates, is: with probability of a half it's herself so that's nothing, No distance, and with probability of a half it's two places away.

    所以一种考虑的方法是,预期她与获胜者的距离是,由于她有一半获胜的机会所以没有成本,没有距离,且,距她两个位置远的人有另一半获胜的机会

    耶鲁公开课 - 博弈论课程节选

  • Conversely, if you think the goalie's going to shoot to the right with probability more than a ?, then the best you can do is represented by the pink line, and that's shooting to the left, or if you think the goalie's going to dive to the right with the probability more than a ?, the best you can do, your best response is to shoot to the left.

    相反如果你认为门将扑向右侧的概率,大于?的情况下,此时你最佳策略用粉线表示,即从左路射门,也就是说如果你觉得门将扑向右路的,概率大于?的话,你最好选择从左路射门

    耶鲁公开课 - 博弈论课程节选

  • And the trend always is that the probability gets smaller with each of the peaks as you're drawing them.

    当你画它们的时候,整体趋势总是每个峰概率越来越小。

    麻省理工公开课 - 化学原理课程节选

  • It takes on the value 1 with the probability of 20% and the value of 0 with the probability of 80%.

    等于1的概率是20%,等于0的概率是80%

    耶鲁公开课 - 金融市场课程节选

  • We can not do that with quantum mechanics, the more true picture is the best we can get to is talk about what the probability is of finding the electron at any given nucleus.

    在量子力学里我们不这样做,我们能得到的更加真实的图像,是关于在某处,找到电子的概率。

    麻省理工公开课 - 化学原理课程节选

  • I wanted to talk about that with a little bit of reference to probability theory and so that's what I will be covering.

    讲到这些内容的时候,会涉及一些概率论的知识,这些就是下一讲的内容

    耶鲁公开课 - 金融市场课程节选

  • Ever since this was first proposed, there has never been any observations that do not coincide with the idea, that did not match the fact that the probability density is equal to the wave function squared.

    从未有,任何观测,与它相抵触,从没有过,波函数的平方不等于,概率密度的情况,关于马克思,波恩。

    麻省理工公开课 - 化学原理课程节选

  • It's somewhat different when we're talking about the p or the d orbitals, and we won't go into the equation there, but this will give you an idea of what we're really talking about with this radial probability distribution.

    当我们讨论p轨道或者,d轨道的时候会有些不同,我们那时不会给出方程,但它会给你们一个,关于径向概率,分布的概念。

    麻省理工公开课 - 化学原理课程节选

  • We'll start with talking about the shape, just like we did with the s orbitals, and then move on to those radial probability distributions and compare the radial probability at different radius for p orbital versus an s orbital.

    想我们对待s轨道那样,我们先讨论p轨道的形状,然后是径向概率密度分布,并且把s轨道和p轨道在,不同半径处的径向概率做一个比较。

    麻省理工公开课 - 化学原理课程节选

  • She wins B with probability a half.

    她赢得了B的一半

    耶鲁公开课 - 博弈论课程节选

  • 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 if we take this term, which is a volume term, and multiply it by probability over volume, what we're going to end up with is an actual probability of finding our electron at that distance, r, from the nucleus.

    如果我们取这项,也就是体积项然后,乘以概率除以体积,我们能得到的就是真正在距离,原子核r处找到电子的概率。

    麻省理工公开课 - 化学原理课程节选

  • What they did is, they looked at 12 months, they took the months with the most births in it, which happened to be June, and calculated the probability of 3 percent.

    俄克拉荷马神枪手谬误,他们看了十二个月的人数,然后选择了出生人数最多的一个月?,正好是6月,然后计算出3%的概率。

    麻省理工公开课 - 计算机科学及编程导论课程节选

  • So if we write out every term individually, what we end up with is essentially just the probability density for the first atom, then the probability density for the second atom, and then we have this last term here, and this is what ends up being the interference term.

    如果我们把每一项都写出来,最后得到的就是,第一个原子的概率密度,然后是第二个原子的概率密度,然后是这最后一项,这就是干涉项。

    麻省理工公开课 - 化学原理课程节选

  • I want to start with the concept of probability.

    我想从概率的概念开始讲起

    耶鲁公开课 - 金融市场课程节选

  • The real insurance industry, as I mentioned before, began in the 1600s with the invention of probability theory and with the invention of life tables for-- the invention of actuarial science; but, it grew slowly.

    正如我刚才所提到的,真正的保险始于17世纪,这得益于概率论,寿命表以及,精算学的产生,但是,它的发展很缓慢

    耶鲁公开课 - 金融市场课程节选

  • So the goalie is going to shoot to the right with the probability less than a ?, sorry he's going to dive to the right with the probability less than a ?, you should shoot to the right.

    如果门将从右路射门的概率,小于?的话,抱歉,是门将扑向右路的概率小于?,你应该从右路射门

    耶鲁公开课 - 博弈论课程节选

  • So, I think we're a little bit out of time today, but we'll start next class with thinking about drawing radial probability distributions of more than just the 1 s orbital.

    快没时间了,但我们,在下节课会讲,1s轨道以外的,径向概率分布。

    麻省理工公开课 - 化学原理课程节选

  • So what we can say is look at each of these separately, so if we start with looking at the 2 p z orbital, the highest probability of finding an electron in the 2 p z orbital, is going to be along this z-axis.

    我们可以来分别看看这些图,首先来看看2pz轨道,在2pz轨道里,找到电子的最大概率,是沿着z轴。

    麻省理工公开课 - 化学原理课程节选

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