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理解复杂程度，是我们从未预料到。

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

直到 1945 年，毕达哥拉斯三才被发现。

Essentially, you are trying to minimize a thing called triplet loss.

本质上，你是在尽量减小一个叫做三失东西。

One of my favorite frameworks is the triarchy of love.

我最喜欢一个框架是爱三理论。

Like these three, this is a triad.

像这三样，这是一个三。

And this negative cognitive triad is fed by specific cognitive deficits or biases. So, depressed people show a lot of distortions in thinking. " All-or-nothing thinking" is thinking that things are either all good or all bad.

而这种消极认知三是特定认知缺陷或偏见造成。所以，抑郁人会表现出很多思维扭曲。 “全有或全无想法”是认为事情要么全好要么全坏。

And there's a notion of one, which in Haskell, at least, they call the unit type, which is kind of like an empty tuple or an empty record, which has no fields.

在哈斯克尔中，有一种被称为单概念， 它有点像一个空或空记录，没有任何字段。

Borsuk-Ulam says that if you try to map that set, all those special quadruplets, into 3-dimensional space, continuously associating each one some triplet of numbers, there must be some antipodal collision.

博苏克-乌拉姆定理说，如果你试图将那特殊四连续映射到三维空间中，并将每个四关联到一个三数字，那么必定会发生一些对跖点碰撞。

It took me a little while coming from just the array programming entirely to understand these other objects, like dictionaries and lists and tuples and binary trees.

从仅仅理解数编程到理解其他对象，比如字典、列表、和二叉树， 我花了一点时间。

And they typically contain something called a triple, where you have two entities or what are called nodes in the graph.

它们通常包含一个称为三内容，其中有两个实体或称为图中节点。

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

在这种情况下 每个因子都与一个有序数字三相关联。

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

因此, 这不再是一个实值 3 。

One of the components of the triad is disordered eating.

三一个成部分是饮食失调。

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

为了说明黑格尔辩证法，我们可以采用他逻辑学第一个基本三，即存在、无和成为三。

There is no doubt that the ability to frame analytic facts geometrically is very useful for math But it's all a tease - because when you start asking questions about quadruplets or quintuplets or 100 tuples of numbers It's frustrating.

毫无疑问，能够用几何方式来表达分析事实对于数学非常有用。但这都是一个诱惑——因为当你开始询问四、五或一百这样数字合时，就会感到沮丧。

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

修复这个问题需要使用三方法重新训练机器，用到数百万张亚洲人脸照片。

Ordered 2-tuples where each of the numbers, so you know you could have x1, my 1 looks like a comma, x1 and x2, where each of these are real numbers.

排序 2 ， 其中每个数字，所以你知道你可以有 x1， 我 1 看起来像逗号， x1 和 x2，其中每个都是实数。

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

这台机器学会了使用三方法来识别人。

OK, so yeah, if you have let's say I have a tuple, this like one, two, three.

好，比如说我有一个，这个像这样：一、二、三。

And since we're talking about real values, it's going to be ordered list of real numbers, and a 2-tuple just says it's an ordered list of 2 numbers.

既然我们谈论是实数值，它就会是实数有序列表，而一个 2 只是说它是一个 2 个数字有序列表。