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

So you know from algebra I can't actually solve this. There may be multiple solutions to this. What would I have to do to change my code? And the answer is fortunately not a lot.

我解不出来方程,可能会有多组答案,我需要怎样修改我的代码呢？,很幸运的,答案是不用修改很多。

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

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

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

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

Let's do a little bit of algebra just to make sure we can find this thing.

我们不妨也佐以数学计算验证一下

耶鲁公开课 - 博弈论课程节选

And again, anytime I'm doing algebra on the board, someone should check me at home, so just have a quick look at that. Is that right?

还有,每回我在黑板上演算,你们都帮我检查一下,看看有没有算错,这次算对了吗

耶鲁公开课 - 博弈论课程节选

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

Once we escape the algebra just think about it in terms of economics.

不是数学的术语,是经济学的术语

耶鲁公开课 - 博弈论课程节选

The algebra is, of course, very trivial here.

这些数字本身当然是平凡无奇

耶鲁公开课 - 基础物理课程节选

But that's just kind of algebra and math.

但是这只是数学问题

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

I'll leave the algebra there, transfer it up here, q1* = q2* = a - c over 3b.

先把算式留在那好了,我在这里再抄一遍吧,q1*=q2*=/3b

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

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

All right, so that's just solving out the algebra, so we're saying what q solves, a - c over 2b - q2 over 2 = 0.

没错,只需要解出当,/2b-q2/2=0,时q2的值即可

耶鲁公开课 - 博弈论课程节选

What q2 makes this equal to 0 and Katie's answer is solving out the algebra here is that q2 that solves this must be a - c over b.

2为何值时这个算式等于0呢,凯特回答其实就是算出这个的解,即,q2=/b

耶鲁公开课 - 博弈论课程节选