Our friend Schr?dinger told us that if you solve for the wave function, this is what the probability densities look like.
我们的朋友薛定谔告诉我们,如果你用波函数来解决,你就会知道这些概率密度看上去的样子。
finding a way to solve problems for the leaders of all industries across the world.
可以为全世界各个行业的领导人物寻找解决方案。
And in fact, if I substitute, I can solve for this I'm done when this is equal to 1.
到1的时候就完成了,当你把所有的都替代完以后。
I'm trying to write these two unknowns in terms of these two knowns and you can solve for them.
我会试着将这两个未知量,用这两个已知量表示出来 这样你们就可以求了
We looked at the wave functions, we know the other part of solving the Schrodinger equation is to solve for the binding energy of electrons to the nucleus, so let's take a look at those.
我们看过波函数,我们知道解,薛定谔方程的其他部分,就是解对于原子核的电子结合能,所以我们来看一看。
Let's quantify the energy value. If you go through and solve for energy, you will get this equation.
我们来确定一下能量值,如果你试图寻找,解决能量问题,你能得到一个方程式。
Somebody who's not a math major, tell me how I solve out for the maybe the math majors can't do it actually, it's too simple.
谁不是数学专业的,告诉我们怎么解呀,数学专业的觉得它太简单而不屑去解
We'll see why they have to separate that in a minute, but they do that these lipid bi-layers solve that problem for them and they're self-assembled structures from these molecules called phospholipids.
我们马上会讲到为什么要把它们隔离开,脂质双层膜解决了这个问题,而这些自主装结构,就是由磷脂分子组成的
However, after a while,he comes to be too satisfied, too comfortable with his own brilliance and when another threat comes to the city,he is confident that he can solve the problem again for his people.
但是此后,他过于满足于,他自己的智谋,以至于他坚信能为他的人民,化解新的威胁
Therefore, we have the chance to innovate and to solve those problems. So, I think there are hopes for that.
因此,我们有机会进行创新来解决这些问题,那就是希望之所在。
You're not going to start for the rest of your life if you ever need to solve a problem with a computer from scratch, odds are you're going to reach for some off the shelf packages or libraries or tools that other people wrote so that people like us don't have to reinvent the wheel again and again.
如果你想用Scratch来解决问题,却使用其他人写的程序,或者利用现成的资料或工具,这样以来,我们的确可以避免做重复性的工作,但却永远学不会编程。
psi I mentioned that we can also solve for psi here, which is the wave function, and we're running a little short on time,
我说过我们也可以解,波函数,我们讲的稍微有点慢,
So if we want to solve for ionization energy, we can just rearrange this equation.
因此,要想解出电离能,我们只需要将这个方程中的项变换一下位置。
You solve for the t* from this one and you put it there.
从这里解出 t*,然后把它代入这个式子
If I haven't solved the problem, let me solve it, and store the answer away for later reference.
让我解决它,然后保留答案以备下次调用。
There's a tendency for people to say, oh this problem's exponential, I can't solve it.
人们往往会说,哦这是个指数型的问题我没法解决它。
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