Or the slide rule, for assisting with multiplication and division.

或者，用于辅助乘法和除法。

Oh, and the phones, of course, mechanical typewriters and slide rules then, no fancy laptops and cell phones.

还有电话，当然，还有机械打字机和，没有花哨的笔记电脑和手机。

Nobody uses a slide rule, unless you go to maybe Oxford in the 1960s.

没有人使用， 除非你在 1960 年代上过牛津大学。

Right? So, what is a slide rule?

正确的？那么， 什么是？

And the slide rule was just a kind of physical incarnation of that.

只是它的一种物理化身。

But this was a manual for how to use this slide rule, which is enormously important.

但这手是关于何使用的，其重要性不言而喻。

It's that when you use the slide rule, at a certain point, you're essentially needing to estimate your result.

当您使用时，在某个时刻，您质上需要估您的结果。

I have a fondness for the slide rule as an object.

我很喜欢这个物体。

In this book, he talks about a compass, which is not a magnetic compass, but an actual slide rule.

在这书中，他谈到了一个指南针，这个指南针并非磁性指南针，而是一个真正的。

My father graduated with a degree in mathematics, and I remember seeing slide rules around his house.

我父亲毕业时获得了数学学位，我记得在他家里看到过。

The slide rule made calculations a lot faster and less error-prone than using the log charts and pen and paper.

与使用日志图表和笔和纸相比，使速度更快且更不易出错。

And this means that if all you have is a slide rule, you have to simplify it.

这意味着果你只有一把，你就必须简化它。

Then he brought in some books on mathematics and physics and other things, and a bunch of slide rules, calculators, and junk.

然后他拿来了一些关于数学和物理及其他学科的书籍，还有一堆、器和其他杂物。

When I visited my dad's house, I would marvel at the slide rules that he had in his junk drawer.

当我参观父亲的房子时，我会对他的垃圾抽屉里的感到惊讶。

It is a tale that starts with a 42,000-year-old tally stick found in South Africa and moves through finger-counting systems to the abacus and the slide-rule.

这个故事从在南非发现的一根有 42,000 年历史的数棒开始，通过手指数系统发展到盘和。

So, the calculator–the thing that we might recognize as a calculator–kind of has to have a different form because the slide rule's form isn't cutting it.

因此，器——我们可能认为是器的东西——必须有不同的形式，因为的形式不能满足它的需要。

In other words, you can model things with great predictability and accuracy using supercomputers that you couldn't possibly do sitting with a slide rule or sitting with Traditional mathematics.

换句话说，你可以使用超级机以极高的预测性和准确性来建模，这是你用或传统数学方法根无法做到的。

And then really the next big innovation is a thing called the " slide rule." The slide rule was a major innovation that came along in the 1600s.

真正的下一个重大创新是一种叫做“”的东西。是 1600 年代出现的一项重大创新。

Fundamentally, if you're going to be doing a lot of calculations with a slide rule, everything has to be linear, by which I mean most equations need to just be multiplications or divisions or just adding some constant number.

从根上讲，果您要使用进行大量，那么一切都必须是线性的，我的意思是大多数方程只需是乘法或除法，或者只是添加一些常数。

So, prior to the slide rule, we had to calculate logs using these long charts known as " log tables." So, the basis behind the slide rule were these very, very long books of incredibly accurate logarithmic tables.

因此，在出现之前，我们必须使用这些称为“对数表”的长图表来对数。所以，背后的基础是这些非常非常长的书，里面有极其精确的对数表。