It is very difficult to obtain any idea about the behavior of this function simply from studying the equation.

仅从研究方程本身很难得到该函数行为的任何想法。

youdao

I now would like to write down, in most general form the equation for the position and the velocity as a function of time for a one-dimensional motion whereby the acceleration is constant.

我来把更一般的形式，写出来吧，在一维空间中，位置和速度，作为时间函数的，一般形式，这里的加速度是一个常数。

youdao

So the unknown is a function, and the equation will relate the partial derivatives of that function to each other.

未知量是一个函数，这个方程，将把函数的偏导数联系起来。

youdao

We can't actually go ahead and derive this equation of the wave function squared, because no one ever derived it, it's just an interpretation, but it's an interpretation that works essentially perfectly.

从这个方程中,导出，波函数的平方，没有人可以这样做，这仅仅是一种解释，但这种解释，能解释的很好，自从它第一次被提出来之后。

麻省理工公开课 - 化学原理课程节选

And on Monday what we were discussing was the solution to the Schrodinger equation for the wave function.

周一我们讨论了,薛定谔方程解的波函数。

麻省理工公开课 - 化学原理课程节选

So we'd really like to be able to find some sort of equation of state, or some sort of rather function of state that's going to relate the heat going in or out of the system with that function of state, because this isn't going to do it.

所以我们真的想要去,找到一些态方程或者态函数,通过这个态函数可以表示热量,在系统与外界的交换,因为这个不能表示它。

麻省理工公开课 - 热力学与动力学课程节选

Equation of Time function at 9:00 that indicates the difference between solar time and real time.

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And like any equation, output is a function of input.

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