We need to calculate all the Euler angles that would cause the sun to hit the liquid helium.

我们需要算出所有的欧拉角避免太阳直射到液态氦。

Oh, an Euler's Disk! Fun! Yeah, we're seeing if Raj can hold his breath longer than it.

欧拉盘! 好玩诶! 啊，我们在看拉杰憋气的时间能不能比它转的时间长。

Government aid could be withdrawn too soon, worries Alexis Garatti of Euler Hermes, a trade-credit insurer.

贸易信贷保险公司Euler Hermes的Alexis Garatti，府可能会过早取消援助。

Euler first dismissed the question as having nothing to do with math.

欧拉起初认为这个问题与数学无关。

But Euler was still far from a general proof.

——但欧拉距离普遍的证明还很远。

He said, well, we know more Calabi-Yaus with negative Euler characteristics than positive.

他说，好吧，我们知道具有欧拉特征的卡法利-尤空间比正的多。

In mathematics do you look upon Euler, Laplace, or Gauss as fools?

在数学上， 你把欧拉、拉普拉斯或高斯看成傻瓜吗？

In honor of Euler, whose hometown was Basel, this infinite sum is often referred to as the Basel problem.

为了纪念欧拉， 他的家乡尔，这个无穷级数常被称为尔问题。

Euler was a German mathematician, I think in the 1700s.

欧拉一位德国数学家，我认为在1700年代。

In initial studies, the tunnel model in the LECM was conceptualized as a longitudinal continuous Euler-Bernoulli beam, as its simple computation and flexibility in complex analysis.

在初步研究中，LECM 中的隧道模型被概念化为纵向连续的 Euler-Bernoulli 梁，因为它计算简单，在复杂分析中具有灵活性。

If you have more dimensions, then you just solve the Euler-Lagrange equation for each coordinate.

如果有更多维度，那么只需求解每个坐标的欧拉-拉格朗日方程。

Is it possible that for every Calabi-Yau, there's one with the opposite Euler characteristics?

否每一个卡比-尤空间都有一个欧拉特征数相反的对应空间？

Euler used this proof to formulate a general theory that applies to all graphs with two or more nodes.

欧拉利用这一证明，制定了一个普遍适用于包含两个或更多节点的所有图形的理论。

But the proof that I'd like to show you is very different from the one that Euler had.

但我要展示的证明与欧拉的那个非常不同。

A Euler–Bernoulli beam on a Pasternak foundation was used as a simplified model to analyze the stress of the existing tunnel.

使用 Pasternak 基础上的 Euler-Bernoulli 梁作为简化模型来分析现有隧道的应力。

There are many great resources online for learning about Euler angles and Gimbal lock, and I've left links in the description to a few.

网上有很多关于欧拉角和万向节锁的学习资源，我在描述中留下了一些链接。

Euler's first insight was that the route taken between entering an island or a river bank and leaving it didn't actually matter.

欧拉的第一个洞察，进入一个岛屿或河岸与离开它之间的路径实际上并不重要。

Well, that's because Euler and Lagrange came up with a way to make all of this like super, super simple.

嗯， 这因为欧拉和拉格朗日想出了一种方法，让所有这一切变得非常简单。

In physics suggested between different Calabi-Yau, suggested that you couldn't actually compute the Euler characteristic of a Calabi-Yau.

在物理学中，不同卡拉比-丘空间之间似乎存在某种对称性，这暗示着实际上无法计算卡拉比-丘空间的欧拉特征数。

Just lingering on that one, Euler's Identity.

- 只徘徊在欧拉恒等式上。