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。

麻省理工公开课 - 固态化学导论课程节选

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

耶鲁公开课 - 博弈论课程节选

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

I am going to do it first pictorially and then I will write the algebra. What happens here?

下来我会做绘画工作,并写下一些代数，这儿怎么了？

麻省理工公开课 - 固态化学导论课程节选

You add them all up algebraically, keeping track of their sign, and that's the total force.

你再对这些力做代数加法,注意符号,就求出合力了

耶鲁公开课 - 基础物理课程节选

Now, unlike high school math or in algebra Z where you call things X and Y and Z, in programming, in computer science, you're actually dealing with humans where it's useful to have a variable name that's more descriptive than X and Y and Z.

不像高中数学或者代数中,称为X和Y和，在程序设计和计算机科学里，你实际上是在和人打交道,在这里有个描述性比xyz更强的,变量名称是很重要的。

哈佛公开课 - 计算机科学课程节选

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。

麻省理工公开课 - 计算机科学及编程导论课程节选

All I did was, I did a little bit of calculus, a little bit of algebra, and then I drew the thing.

我只不过是稍微用了点微积分,做了点代数运算,然后就画出来了

耶鲁公开课 - 博弈论课程节选

If you don't know how to measure anything, you are doing algebra and trigonometry.

如果你不知道如何进行测量,你就是在研究代数或者三角函数了

耶鲁公开课 - 基础物理课程节选

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

耶鲁公开课 - 基础物理课程节选

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

耶鲁公开课 - 博弈论课程节选

I mean the algebra doesn't really help the intuition here.

这里代数并没有真的有助于猜测

耶鲁公开课 - 博弈论课程节选

Now, we get to draw some lessons out of this thing, so everybody who's feeling a little bit shell shocked from having been doing algebra and calculus and drawing pictures and feeling like they've been cheated into taking a class that looks far too much like economics, calm down we're going to actually talk right now.

下面我们从中总结点经验出来,那些因为代数和微积分计算还有绘图,而感到十分不爽的同学,你们是不是感觉被我忽悠了,才会选这门一点都不像经济学的课啊,稍安勿躁,我们马上切入正题

耶鲁公开课 - 博弈论课程节选

My algebra, which is often wrong, suggests that the solution is S1* equals S2* equals 1 over .

我代数总是算错,最后解是S1*=S2*=1/

耶鲁公开课 - 博弈论课程节选