We can solve this.

我们可以解决它。

哈佛公开课 - 计算机科学课程节选

If you do that, you will find there is one unknown, which is v0, and we can solve for v0.

这样就只剩下一个未知量了,也就是 v0,我们就能解出 v0

耶鲁公开课 - 基础物理课程节选

It literally halves the amount of time it takes to solve that problem but we can actually do better.

它能把解决问题时间的缩短一半,但其实我们能做的更好。

哈佛公开课 - 计算机科学课程节选

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，

麻省理工公开课 - 化学原理课程节选

All right, this is what's called a recurrence relation, there are actually cool ways to solve them. We can kind of eyeball it.

好，这就是所谓的递归关系,也就是解决问题的相当好的办法,我们可以来看看。

麻省理工公开课 - 计算机科学及编程导论课程节选

The strategy then often is to figure out how, what sort of program can solve these problems and then we go on to ask, "How could this program be instantiated in the physical brain?"

心理学家们通常要先弄清,什么样的程序可以解决这些问题,然后我们会接着问到,"这个程序在我们的生理大脑中,是如何进行编译的"

耶鲁公开课 - 心理学导论课程节选

What we can actually do is we could solve out for the X and for the Y.

实际上我们能够解出X和Y的值

耶鲁公开课 - 博弈论课程节选

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。

麻省理工公开课 - 化学原理课程节选

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。

麻省理工公开课 - 化学原理课程节选

So what can we do to solve this?

来解决这个问题，我们能怎么做？

哈佛公开课 - 计算机科学课程节选

In Week 2 we'll look at things like cryptography and functions and the tools that by which you begin to assemble solutions to problems; in Week 3 we'll introduce what are generally ; known as algorithms and data structures; mechanisms by which you can solve problems more efficiently, effectively.

第2周,我们学习加密技术及其功能,还会学到一些操作工具,通过这些工具的使用来收集解决问题的办法,第3周,我们将介绍;,算法和数据结构,以及可以更有效地解决问题的机制。

哈佛公开课 - 计算机科学课程节选

So, we just want to appreciate that what we'll be using in this class is, in fact, the solutions to the Schrodinger equation, and just so you can be fully thankful for not having to necessarily solve these as we jump into the solutions and just knowing that they're out there and you'll get to solve it at some point, hopefully, in your careers.

所以，我们仅仅想要鉴别,将会在这门课中用到的，事实上就是薛定谔方程的解，而且你们可以非常欣慰,因为你们没有必要去,解这些方程而是直接用它们的解,并且知道这些解出自那里,希望你们在学习生涯中。

麻省理工公开课 - 化学原理课程节选

We don't always want to go and solve the Schrodinger equation, and in fact, once we start talking about molecules, I can imagine none of you, as much as you love math or physics, want to be trying to solve this Schrodinger equation in that case either. So, what Lewis structures allow us to do is over 90% of the time be correct in terms of figuring out what the electron configuration is.

我们并不想每次都去解薛定谔方程，而且实际上，一旦我们开始讨论分子，我可以想象,你们中没有一个人，不管你有多么热爱数学或物理，会想去解这种情况下的薛定谔方程,总之，路易斯结构能让我们,有超过，90%，的概率判断出正确的,电子排布。

麻省理工公开课 - 化学原理课程节选

So, let's say we start off at the distance being ten angstroms. We can plug that into this differential equation that we'll have and solve it and what we find out is that r actually goes to zero at a time that's equal to 10 to the negative 10 seconds.

也就大约是这么多,所以我们取初始值10埃,我们把它代入到,这个微分方程解它,可以发现，r在10的,负10次方秒内就衰减到零了。

麻省理工公开课 - 化学原理课程节选