1.And this is the real magic of algebra.

这就是代数真正魔力。

2.But this is just hopefully, a review of algebra for you.

但是希望这是你们对代数一种复习。

3.To find all your sites about algebra, you click the algebra tag, and voila, one hundred becomes three.

如果要找有关代数网站，点击代数，瞬间筛选成功。

4.Some people love the challenge of algebra or enjoy working out number puzzles such as Sudoko.

有些人代数挑战，或做数独之类数字谜题。

5.And now what I want to do is let's-- I know I'm doing a lot of equation manipulation here.

现在 我想做是但是希望这是你们对代数一种复习。

6.That would be good, he needs help with algebra.

那就好了，他需要代数方面帮助。

7.So, what do I mean by algebra?

所以 我所说代数是什么呢？

8.And for your information, the summer conference on algebraic topology at Caltech is nerd prom.

还有，给你科普一下加州理工代数拓扑会议才是书呆子舞会，代数拓扑是使用抽象代数工具来研究拓扑空间数学分支。拓扑空间是一种数学结构，可以在上头形式化地定义出如收敛，连通，连续等概念。

9.We can prove this mathematically using algebra.

我们可以使用数学中代数来证明。

10.So that simple piece of algebra has given us this.

这个简单代数式给了我们这个结果。

11.Symbols were a way of making the relationships and patterns inside algebra easier to see.

符号是使代数中关系和模式更明了一种方式。

12.I realized that meant we would miss twenty minutes of Pre-Algebra.

我知道这就是说头20分钟代数课我们不用上了。

13.So, with a little algebraic rearranging, you can see that blood pressure equals blood flow, or cardiac output, times resistance.

通过一些代数重新排列，你可以看到血压等于血流量，或心输出量，乘以阻力。

14.Once you had an equation, you could plot the solutions to an algebraic formula on a graph.

一旦你有了一个方程，你就可以在图表上绘制代数公式解。

15.1st A few words on the usefulness of linear algebra.

首先简单介绍一下线性代数有用性。

16.See? Your algebra teacher was right: Someday this stuff will be important.

看到了吗？你代数老师是对：总有一（他讲）这些东西会变得很重要。

17.Is that what you tell your students in advanced algebra?

你教高等代数时候 就这么和学生说吗？

18.And Muslim mathematicians and astronomers developed algebra partly so they could simplify Islamic inheritance law.

穆斯林数学家和文学家发展代数部分原因是他们可以简化伊斯兰继承法。机翻

19.No. What's really weird is doing simple algebra and thinking about a girl in a bikini.

才没有。真正奇怪是解简单代数时脑海里却想着比基尼女郎。

20.Applying One transformation after another is captured algebraically with matrix multiplication.

应用一个接一个变换是用矩阵乘法代数捕获。