I need one more piece of notation and then we can get back to having some fun.
我需要再引入一个符号,之后我们再继续研究
And one day my views might change as I get older and might need it more.
或许有一天我的观点会改变。随着年龄的增长,我可能更加需要整形。
I'm going to come back to that in a second with that, but I need to do one more example, and I've got to use my high-tech really expensive props. Right. So here's the fourth or fifth whatever we're up to, I guess fifth example.
并且我会用到我的,高科技的昂贵小道具,好,这是第四个还是第五个了?,好,我猜是第五个例子了,这是个被称为汉诺塔的问题。
So for example, if we think about fluorine, 1 s 2 2 s 2 2 p 5 that has an electron configuration of 1 s 2, 2 s 2, 2 p 5, so all we would need to do is add one more electron to get the same configuration as for neon.
比如,如果我们考虑氟原子的话,它的电子排布是,因此我们所需要做的就是给它加上一个电子,使得它与氖原子的电子排布相同。
And one of the things that the Crimson article said is that we need to put more resources into mental health at Harvard.
那篇文章提到的一点是,我们需要为哈佛学生的心理健康投入更多。
Who wants to respond to the first one, the poor need the money more?
谁愿意回应第一条反对,穷人更需要钱?
So there is one more thing you need to know.
所以这还有一个你们需要知道的知识点。
I think that book will give you all the basic principles you need in calculus of one variable, more variables, elementary complex numbers, maybe solving some problems with vectors and so on, which you're going to get into.
我想那本书会给你所需的所有基本知识,包括一元和多元微积分,简单的复数运算,可以解决一些与矢量有关的问题,而这正是你们将要学的
There's just one more thing you need to know about this phalanx mode of fighting.
关于这种方阵模式的战斗,还有一点需要你们知道
One more time and we need- we're going to get our third in.
再来一次,我们把三度音程加进去
OK. You can see that thing is cutting down the problem in half each time, which is good, but there's one more thing I need to deal with.
这很棒,但是我们还需要处理另外一件事情,让我们仔细来看看,我在开始做之前一直在说,应该先试验试验。
So objection number one is that the poor need the money more.
第一条反对意见是穷人更需要钱。
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