It's like when I first encountered the Pythagorean Theorem.

就像我第一次接触勾股定理感觉。

It's actually quite useful to have case studies or stories, which are these famous theorems.

事实上，学习著名定理案例和故事是相当有用。

The shape of the earth? The heliocentric universe? The Pythagorean theorem? The structure of DNA?

放弃对地球形状认识？对以太阳为中心宇宙认识？还是对勾股定理认识？对DNA结构认识？

His conclusions were as infallible as so many propositions of Euclid.

他所作出结论真和欧几里得定理一样准确。

You might remember the Pythagorean theorem from school like what the formula is?

你可能还记得在学校学勾股定理，比如公式是什么？

Now they didn't have what we call the theorem.

那他们还没有我们所说定理。

Instead, they knew all these particular cases where the theorem held true.

相反，他们知道所有这些定理成立特殊情况。

And it turns out there's a variety of proofs of the Pythagorean Theorem.

实有很多种证明勾股定理方法。

And we did that in kind of the intuition behind the binomial theorem videos.

我们是在利用二项式定理方法来解决问题。

And yet, somehow, he came up with these incredible theorems.

然而，不知何故，他提出了那些令人难以置信定理。

Proofs use existing mathematical rules and logic to demonstrate that a theorem must hold true all the time.

利用现有数学定理和逻辑，我们可以证明该定理总是成立。

He thought about the mentality that he felt there was there and crystallized it in this concept of Janteloven.

他思考了他在那里所感觉到在那里存在思维，并将具体化在扬特定理概念中。

A Babylonian tablet from around 1800 B.C. lists 15 sets of numbers that satisfy the theorem.

公元前 1800 年左右一块巴比伦石碑列出了15组满足该定理数字。

And that is a neat thing about the central limit theorem.

这就是中心极限定理处。

So this is what's super cool about the central limit theorem.

所以这就是中心极限定理超级酷之处。

You understand the heart of Bayes' theorem.

您了解贝叶斯定理核心。

So now what is the statement of Fermat's Last Theorem?

那么现在费马大定理表述是什么？

That is a statement of Fermat's Last Theorem.

这是费马大定理陈述。

However, that's not quite what the theorem says.

然而, 这并不完全是定理所说。

Well, there's no hard or fast rule, but brain injuries tend to pile up around the holidays, like our friend here.

哦，虽然不是什么绝对定理，但是脑外伤发生率在节日会大大升高，甚至像是我们朋友。