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

的名字来给它命名。韦，我们在对数尺度上感知物体不同点，而不在线性尺度上。

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

不过讲真，我很确这个指数本来要像地震震级一样呈对数出现。

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数和三角函数这些函数手算相当麻烦。

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

更具体地说，我想讨论对数关系。

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数表。

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

首先，人工智能的能力与其投入的资源之间存在对数关系。

Splitting in half repeatedly like this has a logarithmic relationship with the number of items - trust me!

这样反复分成两半与项目的数量呈对数关系——相信我！

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

有趣的，对数函数与指数函数具有一些相似的性质。

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

如果你不知道对数曲线样子的，或许最好去谷歌一下。

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

例如，对数函数存在一个极限。

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.

分贝刻度用来测量声音的响度的，而且重要的要注意这个分贝刻度表呈对数曲线。

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

这听起来可能不很多， 但分贝对数标度，就像地震的里氏标度一样。

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

但在算法中涉及的概念可能最为直接适用，那就对数复杂度的概念。

Bear in mind that anything over 100dB  is considered a loud sound, and consider also that the decibel scale is logarithmic.

请记住， 超过100分贝的声音被认为大声的，同时也要考虑到分贝等级按对数计算的。

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数函数特征的事物。

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的可能性呈对数增长的。

Well, think about that logarithmic curve.

那，想想那条对数曲线吧。

Very often, meetings also follow a similar logarithmic curve.

通常情况下，会议也遵循类似的对数曲线。

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

许多学习过程也呈现出对数曲线的特征。

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

那，质量的提升则遵循这条对数曲线。