Weber’s Law says that we perceive differences on a logarithmic, not a linear scale.

名字来给它命名。韦伯定律，我们在对尺度上感知物体不同点，而不是在线性尺度上。

In all seriousness, though, I'm pretty sure the index is meant to be logarithmic like earthquake magnitudes.

不过讲真，我很确定这个指本来是要像地震震级一样呈对出现。

Polynomials could also be used to approximate logarithmic and trigonometric functions, which are a real hassle to calculate by hand.

多项式也可以用于近似对和三角函这些函手相当麻烦。

Decibels are in what we call a logarithmic scale, for the mathematicians out there.

对于那里学家来，分贝是我们所对刻度。

And more specifically, I want to talk about logarithmic relationship.

更具体地，我想讨论对关系。

They discussed how to tabulate a logarithmic table in a tabloid.

他们讨论如何在一个小报上制一个对表。

First, there is a logarithmic relationship between the capabilities of AI and the resources invested.

首先，人工智能能力与其投入资源之间存在对关系。

Now, interestingly, the logarithmic function has some similar properties to an exponential function.

有趣是，对函与指函具有一些相似性质。

There is, for example, a limit on a logarithmic function.

例如，对函存在一个极限。

If you don't know what a logarithmic curve looks like, it's probably best for you to Google it.

如果你不知道对曲线是什么样子，或许最好去谷歌一下。

That might not sound like a lot, but decibels are on a logarithmic scale, like the Richter scale for earthquakes.

这听起来可能不是很多， 但分贝是对标度，就像地震里氏标度一样。

The decibel scale is what's used to measure the loudness of a sound and it's important to note that the scale is logarithmic.

分贝刻度是用来测量声音响度，而且重要是要注意这个分贝刻度表呈对曲线。

But the idea that's covered in algorithms is probably most directly applicable, and that is the idea of logarithmic complexity.

但在法中涉及概念可能最为直接适用，那就是对复杂度概念。

Well, think about that logarithmic curve.

那么，想想那条对曲线吧。

And we want to talk about, in today's episode, some of the things that might fit a logarithmic function.

在本期节目中，我们想探讨一些可能符合对函特征事物。

Very often, meetings also follow a similar logarithmic curve.

通常情况下，会议也遵循类似对曲线。

The likelihood that you're going to get a highly reliable system through this method is logarithmic.

通过这种方法获得高度可靠系统可能性是呈对增长。

Many of our learning processes also have a logarithmic shape to them.

许多学习过程也呈现出对曲线特征。

The quality then is what's following this logarithmic curve.

那么，质量提升则遵循这条对曲线。

The curve of your learning is likely going to have a logarithmic shape.

你学习曲线很可能会呈现出对形状。