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

特别美索不达米亚人对毕达哥拉斯三元理解的复杂程度，我们从未预料到的。

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

直到 1945 年，毕达哥拉斯三元才被发现。

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

本质，在尽量减小一个叫做三元损失的东西。

One of my favorite frameworks is the triarchy of love.

我最喜欢的一个框架爱的三元理论。

Like these three, this is a triad.

像这三样，这一个三元。

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.

而这种消极的认知三元特定的认知缺陷偏见造成的。所以，抑郁的人会表现出很多的思维扭曲。 “全有全无的想法”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，有一种被称为单元类型的概念， 它有点像一个元记录，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，如果试图将那特殊的四元连续映射到三维间中，并将每个四元关联到一个三元数字，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、元和二叉树， 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元的内容，其中有两个实体称为图中的节点。

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的数字三元相关联。

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

因此, 这不再一个实值 3 元。

One of the components of the triad is disordered eating.

三元的一个成部分饮食失调。

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

为了说明黑格尔的辩证法，我们可以采用他的逻辑学的第一个基本三元，即存在、无和成为三元。

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。但这都一个诱惑——因为当开始询问四元、五元一百元这样的数字合时，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元方法重新训练机器，用到数百万张亚洲人脸的照片。

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.

排序的 2 元， 其中每个数字，所以知道可以有 x1， 我的 1 看起来像逗号， x1 和 x2，其中每个都实数。

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

这台机器学会了使用三元方法来识别人。

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

好的，比如说我有一个元，这个元像这样：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.

既然我们谈论的实数值，它就会实数的有序列表，而一个 2 元只说它一个 2 个数字的有序列表。