Energy can flow across the glass but I put a lid on top, and so the water can't get out.
能量可以穿过杯壁流动,但是我在顶上加了盖子,所以水不能跑出来。
Yeah. We can add classes all the way up until,
可以。我们可以加课一直到,
Before long we'll see that you can actually put things inside those parentheses which make your programs even more useful.
不久之后,你们就可以看到,我们是可以在括号里面加参数的,这些参数可以让你的程序更有用。
So, having other particles around that have the same energy that you could technically add up if you were adding them up like a wave, you can't do the same thing with particles, they're all separate.
所以,如果它们是波,你可以把其他的,拥有相同能量的粒子加起来,但是你不能把这些粒子加起来,因为它们是分离的。
And he quite correctly, because he's more senior than I am, more experienced than I am, said it's actually a good thing.
你可以用加法来加浮点数,他很明显是正确的,因为他比我年长些,比我更有经验些。
It would be kind of exhilarating, wouldn't it, to be able just to have something before us.
这令人兴奋,不是吗,可以只看在我们眼前的东西而不加解读。
So a closed system would be, for instance, a glass of ice water with an ice cube in it, with the lid on top.
因此闭系可以是,比如说,一杯放了,一个冰块的冰水,顶上加了盖子。
And so he imagines that God, as omnipotent, could've made two plus two equals five.
所以他猜想,万能的上帝可以让二加二等于五。
Everyone knows from calculus that if you're trying to find a function about which you know only the derivative, you can always add a constant to one person's answer without changing anything.
学过微积分的人都知道,如果你想根据已知的导数,求出其原函数,你总是可以给某人的答案,随便加一个常数,且不影响结果
The idea of putting wheels on suitcases goes back only to 1972 and it was Bernard Sadow who invented-- this is amazing, right--the wheeled suitcase and he got a patent on it.
在行李箱上加轮子的想法,可以追溯到1972年2,是伯纳德?沙度发明的-,这很神奇,对吧,并且他凭此获得了专利。
Anything where you're actually keeping track of something like a score that's having a variable that you increment -- plus, plus, or decrement, minus, minus, using the appropriate puzzle piece could certainly be compelling.
你需要保存像分数这样的事物时,你就需要一个变量,它可以自加,++,或者自减,要使用正确的拼图。
So again, we should be able to check all of our formal charges and make sure they add up to 0, which they do, and that makes sense, because we have a neutral atom in terms of thionyl chloride.
因此同样地,我们可以检验一下,我们所有的形式电荷是否正确,确保它们加起来等于零,而它们确实是这样,这是合理的,因为亚硫酰氯是一个中性原子。
So this first little piece of code right here says, ok you give me 2 points, I'll create another 1 of these lists and I'll simply take the x, sorry I shouldn't say x, I'm going to assume it's the x, the x-values are the two points, add them together, just right there, the y-values, add them together and return that list.
好,为了来认识到这一点,让我们来看一个简单的小例子,在你们的课堂手册上,你可以看到我写了一个小程序,它假设我得到了,这些点中的一些,我想对它们做一些操作,例如我想把它们加到一起,那么这里的第一小片,代码的意思是,好给我两个点,我会再创建一个数组。
We can also talk about it in terms of if we want to solve, if we, for example, we want to find out what that initial energy was, we can just rearrange our equation, or we can look at this here where the initial energy is equal to kinetic energy plus the work function.
初始能量是多少,也可以,写成另一种形式,我们可以把方程变形,或者我们看这里,初始能量等于,动能加功函数。
So we can do this for any final charge we have, if we have a molecule that has a charge of plus 2, then all of the formal charges should add up to plus 2 and so on.
对于任意净电荷的情况,我们都可以这样做,比如假设我们有一个带两个正电荷的分子,那么所有的形式电荷加起来应该等于正二,等等。
And the first law says, well heat and work are different forms of energy, and we can add them, and the path dependence of these two things is somehow cancelled in the fact that we have this internal energy.
热力学第一定律说,热和功是能量的不同表现形式,我们可以把它们加起来,它们与路径相关的部分相互抵消,我们就有了内能。
Well, that program was interesting because it had an inventory which was implemented in Scratch with a list which is kind of like a container that you can add things to again and again.
那个程序很有趣,它有一个用Scratch做出来的清单,还有一个貌似容器的列表,你可以不断往里面加东西。
du We can talk about du for the system well, w that's q plus w.
我们可以讨论它的,等于q加。
All right. What does this have to do with my divisor example? This says I can make tuples, but imagine now going back to my divisor example and I want to gather up the elements as I go along. I ought to be able to do that by in fact just adding the pieces in.
这意味着我可以创建元组了,但是想像下回到我们的除数的例子,在处理过程中我们想把目标数的除数,收集起来,我应该能够通过把这些数,一个一个加进来来实现这个目的,我正是要去这么做,也就是。
If I reduce that it would be 3 plus t of b minus 3, so in general 3*k+t this is 3 k plus t of b minus k. OK.
把b减去一个,在外面加个3就可以了,因此也就是。
We can write out what it is for any certain atom or ion x, X so it's just x plus an electron gives us x minus.
我们可以用,X,来表示一个任意的原子或离子,因此可以写成,X,加一个电子等于负一价的。
And so, we can immediately write this du and then we can write du for the universe, which is system plus surroundings is equal to zero.
因此,我们可以立刻写出这个等式,然后可以写出总的的,也就是系统加环境的du,等于零。
q2 We can replace this sum by just the some of q1 plus q2.
我门可以用q1加,来替代这些量之和。
It's very clear that if you want to take A and ask, "What should I add to A so I get the null vector?"
显然,你们会拿 A 来问,"拿什么来加矢量 A 可以得到零矢量呢"
So we can draw that for 1 s a, we can also draw it for 1 s b, and what I'm saying for the molecular wave function is that we have the interference between the two, and we have a constructive interference, so we end up adding these two wave functions together.
所以我们可以对1sa画出它来,我们也可以对1sb画出它来,对于分子波函数我要说的是,它们两者之间会干涉,这里我们有相长干涉,所以我们得到的是波两个波函数加起来。
Another way of saying it is, I've actually said, what did I use there, and , It's basically saying there is the first point, there's the second point, add them together and I get that point.
我要去做的是-对不起,再运行一次-好,你可以看到我已经把,这两个点的坐标值加到一块儿了,然后返回了r的值,我会让大家看到我们,实际上得到的是什么,这看起来不错,好,我做了正确的操作。
In which I said, you know, I didn't like the fact that things like plus are overloaded, because you can use plus to add strings, you can use plus to add numbers, you can use plus to add floats.
那个玩笑是这样的,你们懂得,我并不喜欢,加法被重载这样的事情,但是你可以用加法,来对字符串进行合并,你可以用加法来加数字。
So we can add three hydrogen atoms here, and fill in our other orbitals right here.
我们可以加三个氢原子到这里,填满其它的轨道。
We could talk about adding up all the positive experiences along with all the-- ask yourself how many goods, how many accomplishments of the right sort were in that life?
我们可以,把积极的经历都加起来-,即把生活中的好事,以及成就加起来?
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