Let's say you have to go through three or four operations to get a final number, well, do it algebraically.
让我们说,你不得不通过3-4个操作,才能得到最终的数,好吧,用代数方法求解。
I mean, you may not understand it with algebra before but some of these sorts of pictures have you seen before?
我是说可能代数部分你没看懂,但你们以前见过类似的图像吧
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。
This is a matter of simple algebra, of taking this and putting it here.
本质上讲,这是简单的代数运算,把这个式子代入上面的式子
All right, again this is straightforward kind of algebraic manipulations to get here.
好,必须再提一次这已经是,直截了当的代数运算了。
We did something very nerdy, namely, we just played with calculus and algebra.
我们使用了些死板的,微积分和代数
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