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

在中世纪拉丁语中，agorismus 只是指十进制系统。

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。

The mathematician invented a complex number system.

那位学家发明了一套复杂系统。

They had completely different number systems as well.

他们系统也完全不同。

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

我不会说我们必须使用系统 10。

Why must we use the number system 10?

为什么我们必须使用系统 10？

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

四元是一种绝对令人着迷且常常被低估学系统。

I know that there's a number system to show just how self-made a woman is.

我知道有一个系统来展示一个女性是多么白手起家。

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

但是, 是, 这基本上是Ket系统。

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，系统，我们使用 10 位。

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

系统表明她在每个领域表现，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.

随着定居生活开始，他们开始种植作物并养殖家畜，对复杂完整体系需求变得极为迫切。

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

也许你也在想，为什么有人会费劲去研究这样一个看起来如此陌生系统。

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, 通过汽车车牌系统分单双号限制一半汽车上路。

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

我们使用十进制系统，所以当涉及到10幂时，事情通常更容易记住和正确完成。

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，由于人们用圆形东西来记录时间，天文学家们都在研究巴比伦人这个奇怪 60 进制系统。

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，我们马上就要讨论系统，因为它太荒谬了，我一直在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，了解一下在某些高维系统中乘法是如何用来计算旋转，先花点时间回忆一下复是如何提供一个简洁方法来计算二维旋转。

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.

所以为了铺垫一下， 上个视频我介绍了四元，这是一种19世纪4维系统， 那个时代“X战警里金刚狼” 和“小鬼当家里老人” 称之为“邪恶” ，因为它当时看起来非常复杂。