The mathematician invented a complex number system.

家发明了一套复杂的字系。

In medieval Latin, algorismus simply meant the decimal number system.

在中世纪拉丁语中，agorismus 只是指十进制字系。

I wouldn't say we have to use the number system ten.

我不会说我们必须使用十进制。

They had completely different number systems as well.

他们也有完全不同的字系。

Why must we use the number system 10?

为什么我们必须使用字系 10？

I wouldn’t say we have to use the number system 10.

我不会说我们必须使用字系 10。

Quaternions are an absolutely fascinating and often underappreciated number system from math.

四元是中绝对令人着迷且经常被低估的字系。

But yeah, that's basically the ket number system.

但是, 是的, 这基本上是Ket字系。

But this is only in base 10. You know, the number system, we use 10 digits.

但这只是以 10 为基。你知道，字系，我们使用 10 字。

A number system indicates how she's measuring up in each area without any mention of passing or failing.

字系表明她在每个领域的表现，但没有提及通过或失败。

As they began to settle, grow plants and herd animals, the need for a sophisticated number system became paramount.

随着定居生活的开始，他们开始种植作物并养殖家畜，对复杂完整的字体系的需求变得极为迫切。

And perhaps you too are wondering why on earth anyone would bother with such an alien-seeming number system.

也许你也想知道为什么有人会为这种看似外星人的字系而烦恼。

Beijing triggered its first ever red alert this winter, putting half of its cars off the road based on an odd-even car plate number system.

北京今年冬天拉响了有史以来第一次红色警报, 通过汽车车牌系分单双号限制一半的汽车上路。

We use a base 10 number system, so things are usually easier to remember and do right when a power of 10 is involved.

我们使用以 10 为基的字系，因此当涉及 10 的幂时，事情通常更容易记住并且正确执行。

Fast-forward to around 1,000 years ago, and since people were using round things to keep track of time, astronomers were all about this weird base-60 number system from the Babylonians.

快进到大约 1000 年前，由于人们用圆形的东西来记录时间，天文家们都在研究巴比伦人这个奇怪的 60 进制字系。

Okay, right off the bat, we're going to talk about the number system because it's absolutely ridiculous and I've been waiting all video to show this to you.

好的，我们马上就要讨论字系，因为它太荒谬了，我一直在等待整个视频来向你们展示这一点。

To warm up to the idea of how multiplication in some higher dimensional number system might be used to compute rotations, take a moment to remember how complex numbers give a slick method for computing 2d rotations.

为了热身于如何使用某些高维字系中的乘法来计算旋转的想法，请花点时间记住复如何提供计算二维旋转的灵活方法。

So to set the stage, last video I described quaternions, a certain 4-dimensional number system that the 19th-century versions of Wolverine and the old man from Home Alone called " evil" for how convoluted it seemed at the time.

因此，为了做好准备， 我在上一个视频中描述了四元，这是一种特定的 4 维字系， 19 世纪版本的金刚狼和《小鬼当家》中的老人将其称为“邪恶” ，因为它在当时看起来非常复杂。