• So, all you will have the opportunity to solve differential equations in your math courses here. We won't do it in this chemistry course. In later chemistry courses, you'll also get to solve differential equations.

    你们在数学课中有机会,遇到微分方程,我们在这化学课里就不了,在今后的化学课程里,你们也会遇到微分方程的时候。

    麻省理工公开课 - 化学原理课程节选

  • You won't have to solve it in this class, you can wait till you get to 18.03 to start solving these types of differential equations, and hopefully, you'll all want the pleasure of actually solving the Schrodinger equation at some point. So, just keep taking chemistry, 18 03 you'll already have had 18.03 by that point and you'll have the opportunity to do that.

    你们不用在课堂上就它,你们可以等到得到18,03之后,再开始这些类型的微分方程,希望你们都想得到,实际薛定谔方程的乐趣,所以,保持来上化学课,你们在那个点将会得到,你们有机会做到的。

    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

  • But instead in this chemistry course, I will just tell you the solutions to differential equations. And what we can do is we can start with some initial value of r, and here I write r being ten angstroms. That's a good approximation when we're talking about atoms because that's about the size of and atom.

    但在这个课里,我会直接,告诉你们微分方程的解,我们可以给距离r一个初始值,我这里把r取10埃,当我们讨论原子时,这是一个很好的近似,因为原子的尺寸。

    麻省理工公开课 - 化学原理课程节选

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