Adiabatic can be either reversible or not, and we're going to do that probably next time or two times.
绝热过程可以是可逆的,也可以不是,我们可能会在下一次或下下次课上,研究这个问题。
or like, for, if I have like anything I want to learn in my professional life or whatever, it's really easily available.
或者,如果我在以后职业上有什么要学,也可以在这里很容易找到。
It might be darkness. It might be spirit. Or in ancient Greek religion, a more sort of philosophical polytheism, it might be fate.
它可以是黑暗,也可以是一种精神,在古希腊的一个,偏向于哲学上多神论的宗教中,它可以是命运。
And then since we have my red laser pointer, we will also try with the red laser pointer, which is centered at wavelength of 700 nanometers.
然后因为我们有我的红色激光笔,我们也可以用它试一下,它的波长集中在700纳米处。
This is a point that is often confusing, because you can think, well maybe I could calculate what the internal pressure is even for this very rapid process.
这一点可能让你们很困惑,因为你们可以想象这个过程,我也可以计算在这快速的变化中,内部压强是多大。
So you may take this course ultimately via pass-fail or letter grade and I am more than happy to chat with you about the implications and to sign any paper work such as the stack here that you might need.
你可能希望这门课采用及格-不及格分制或者分数制,我很乐意跟你聊下,两个打分制各自的含义,也可以帮你在这里签到。
There's also The L.A. Times, which you can get now online with no problem from the -you can read every day's newspaper.
洛杉矶时报也提过,你可以在网上轻松找到,你可以读到任何时间的报纸
This is a kind of meta-literary allegorization that I'll be performing here: you could also think of Milton the poet as being stuck at this same juncture.
这是一种元文学的语词新作,我现在会开始展示,你们也可以思考一下,诗人弥尔顿也在同样的时刻陷入僵局。
And if it could happen in New York and it could happen in Michigan, I suppose it could happen in New York and Michigan.
如果它可以发生在纽约,也可以发生在密西根,那我猜它可以发生在纽约和密西根。
Voice, too, can be understood as inscribed on the ear.
声音,也可以被理解为在耳朵上书写。
The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件?,我要将问题分解到何时才使得问题,小到可以解决的基本问题?,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
So this suggests that these tests ain't just for economic funding games that they can actually be useful as probes of symptom profiles in mental health issues.
所以这些试验并不仅仅适用于经济,它们也可以在精神健康领域,作为病情监测的手段。
You can write on the edge for all I care.
也可以写在边上,都不要紧。
They tend to be just triads whereas in classical music we can have a triad but we can also add a seventh note with one,three,five,seven,nine,eleven, that kind of thing.
流行乐一般只用三和弦,但是古典乐可以用三和弦,也可以在上面加上七音,一,三,五,七,九,十一,诸如此类的。
In principle the goalie could stay in the middle.
原则上说门将也可以守在中路不动
You can talk about the origins of French nationalism in the middle of the eighteenth century, but it's very closely tied to this dynasty, at least until they lop off the guy's head in 1793.
你也可以畅谈在十八世纪中叶,法国民族主义的起源,但是它和法国王朝制联系很紧密,至少直到一七九三年,那个家伙被砍头前都如此
So, again, I want to stress you have the option of staying anonymous in this class, but you also have the option of seeking out and making some sort of contact with us.
那么,我再强调一遍,你们可以选择在这门课上默默无闻,但是你们也可以选择站出来,跟我们多多接触
In Korea, students can drop their classes in the middle of the semester. Is it also possible here?
在韩国,学生可以学期中的时候把课退掉。在这里也可以吗?
Also, it can be a rhetorical question or a question that does not want to be answered.
当然,这也可以用在问一种修辞的问题,或一种不需要回答的问题。
It's really fun. You can ask them, "So what were you thinking when you wrote this?" or
这也很有趣。你可以问这些教授,“您在写着一段的时候是怎样想的呢?”,或者说,
We can do the exact same thing when we talk about lithium, but now instead of breaking it up into two wave functions, we're breaking it up into three wave functions because we have three electrons.
在讨论锂时,我们也可以做,完全相同的事情,但不是把它分为两个波函数,而是分为三个波函数,因为我们有3个电子。
It's 33, 32, it's only 32 times and you can check that math at home but here lies the power of algorithmic thinking, of computational thinking as they say.
你需要33,32,对,32次,你也可以在家里自己计算,但数学算法的力量是无穷的,这就是科学家们所谓的计算机思维。
Since we're talking about wave functions, since we're talking about the properties of waves, we don't only have constructive interference, we can also imagine a case where we would have destructive interference.
因为我们讨论的是波函数,因为我们讨论的是波的性质,我们不仅有相长干涉,我们也可以想象在,某种情况下会有相消干涉。
We can make some substitutions here using some of the derivation on the previous board which will give us the Planck constant divided by 2 pi mass of the electron times the Bohr radius.
在这里我们也可以,用我以前在黑板上写过的一些词来取代它,得到的是普朗克常数除以2π电子质量,再乘以波尔半径。
And is able to then say, inside of that class definition, find the value of x.
这个类的定义这里然后取值,也可以这么说,在类的定义的里面。
I could consume at today's income, or I could consume here, or I consume down here.
我可以花掉当前收入,也可以在这,又或者在这
And you can see in the song that Sabrina sings something of the mechanism, perhaps, by which this transition is effected. Look at line 897.
你们也可以在Sabrina唱的那首歌中看出,由转变引起的,一些办法,看第897行。
It's tabulated in books, and this we can measure p in the experiment. Delta p here is the change in pressure from the left side to the right side, and we can put a thermometer, measure the temperature before the experiment and measure the temperature after the experiment.
这列在书上,这个量我们在,实验中也可以测量,在这里Δ,是从左边到右边的压强变化,我们可以放一个温度计,去测量实验前的温度,再去测量试验后的温度。
Now, this is what you're going to do in the homework assignment, but I'm just going to make the argument that you could also imagine firms sitting somewhere between 0 and 1.
这是你们需要在家庭作业上完成的内容,值得一提的是,你们也可以想象公司在0和1间任何地方
On the one hand, even if it were true that the soul must be non-physical in order to grasp the non-physical forms, wouldn't follow that the soul will survive the death of the body.
一方面,即使,灵魂必须是非现实的,以便来认知非现实的型相,也没法推导出,灵魂可以在肉体死亡之后存活
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