I want to show you how easy it is to change the code. But, notice, once I've added this I actually have a problem. This is now an under-constrained problem. I have more unknowns than I have equations.

我加上这个条件后,我马上面临一个问题了,这就是现在是一个非约束性问题了,我的未知数比方程数多,你从代数中可以知道。

麻省理工公开课 - 计算机科学及编程导论课程节选

There is a lot of research showing how difficult it is to change happiness based on external factors.

很多研究表明,基于外在因素改变快乐很难。

哈佛公开课 - 幸福课课程节选

Certainly in principle we know how to calculate this and other stuff for a change in state of this sort, for lots of changes of state.

的确原则上我们可以对某个状态变化,计算这些物理量,或者其他物理量，对其他的变化也可以做相同的计算。

麻省理工公开课 - 热力学与动力学课程节选

Central tendency is a measure of the center of a probability distribution of the-- Central tendency is a measure-- Variance is a measure of how much things change from one observation to another.

集中趋势用以描述,一组概率分布的中心,集中趋势...,而方差衡量的是,各个观察值之间的变化

耶鲁公开课 - 金融市场课程节选

What that's going to allow us to do is, if we say, OK I have a mixture of stuff, how does the free energy change?

我们能够说的是，如果我们有一份混合物，自由能怎么变化？

麻省理工公开课 - 热力学与动力学课程节选

That is, share repurchase can change the units of measurement in a security and companies have to decide how leveraged the stock will be, which changes the stock price--leverage, meaning how much debt the company takes on.

即 股票的购回会改变,已发行股票的单位数量,公司需要决定,股票的杠杆效用是多少,杠杆会改变股价,杠杆指的是公司举债的多少

耶鲁公开课 - 金融市场课程节选

Now the question is "how does it expand" and "why is it so difficult for us to understand, accept, assimilate and live according to the fact that we can make a difference, if we understand that what we need to understand is how change happens.

问题是“它如何扩大“,以及为什么我们难以理解，我们能够做出改变这个事实,并接受，被同化以及据此生活，如果我们能了解我们需要理解的,是改变如何发生。

哈佛公开课 - 幸福课课程节选