And it wasn't until 1945 that it was revealed to contain Pythagorean triples.

直到 1945 年，毕达哥拉斯三元组才被发现。

In particular, the Mesopotamian understood Pythagorean triples at a level of sophistication that we never expected.

特别是美索不达米亚人对毕达哥拉斯三元组理解的复杂程度，是我预料到的。

But the Triarchy are difficult to convince.

但是, 三元组很难被说服。

This machine learned how to identify people using that triplet method.

这台机器学会了如何使用三元组方法来识别人。

One of my favorite frameworks is the triarchy of love.

我最喜欢的一框架是爱的三元组理论。

Well, this right over here isn't a 3-tuple.

好吧, 这边这不是3元组。

One of the components of the triad is disordered eating.

三元组的一组成部分是饮食失调。

And in this case, each factor is associated with an ordered triplet of numbers.

在这种情况下 子都与一有序的数字三元组相关联。

The two-dimensional real coordinate space is all the possible real-valued 2-tuples.

二维实坐标空间是所有可能的实值 2 元组。

This right over here is a 2-tuple, and this is a real-valued 2-tuple.

这里是一 2 元组, 这是一实值 2 元组。

Fixing it would involve retraining the machine using that triplet method on millions of pictures of Asian faces.

解决这问题需要使用三元组方法对数百万张亚洲人脸的照片重新训练机器。

One of the most famous Pythagorean triples is 3,4,5,and that triangle is hiding all over your chessboard.

最著名的毕达哥拉斯三元组之一是 3、4、5，这三角形隐藏在您的棋盘上。

Remember R2 is the set of all 2-tuples.

记住R2是所有2元组的集合。

We view this as a different 2-tuple than, say, 4, 3.

我认为这是一不同的 2 元组, 而不是 4、3。

In some sense what 3d space is, to a mathematician at least, is all possible triplets of numbers.

某种意义上说，三维空间是什么，至少对于数学家来说，是所有可能的三元组数字。

So when we're talking about R2, we're talking about all of the possible real-valued 2-tuples.

所以我谈论 R2 时，我谈论的是所有可能的实值 2 元组。

Think about how a number like 3 is not really about a particular triplet of things, it's about all possible triplets of things.

想一想像 3 这样的数字实际上并不是关于某特定的三元组，而是关于所有可能的三元组。

To illustrate Hegel's dialectic method, we can take the first basic triad of his logic, namely, the triad of Being, Nothing, and Becoming.

为了说明黑格尔的辩证法，我可以采用他的逻辑学的第一基本三元组，即存在、无和成为三元组。

Well, a tuple is an ordered list of numbers.

一元组是一有序的数字列表。

So this is no longer a real-valued 3-tuple.

此, 这不再是一实值 3 元组。