These beasts can work with scientific notation, logarithmic and trigonometric calculations, exponential functions, roots and powers, and other long complicated mathematical terms that many people have never even heard of.

科学计算器可以使用科学记数法、对数和三角函数计算、指数函数、根和幂，以及许多人从未听说过的其他冗长复杂的数学术语。

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

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

Scientists love to put big booms on a scale and came up with a logarithmic scale that measures the volume ejected during an eruption: The Volcanic Explosivity Index, or VEI.

科学家喜欢把大爆发放在一个刻度上，并提出了一个对数刻度来量火山喷发期间所喷出的体积：火山爆发指数，又称VEI。

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.

分贝刻度是用来量声音的响度的，而且重要的是要注意这个分贝刻度表呈对数曲线。

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。

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

不过讲真，很确定这个指数本来是要像地震震级一样呈对数出现。

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

分贝使用所说的对数尺度，数学家应该知道这个。

And so what he does is he plots that on a logarithmic scale.

于是他将那数据绘制在对数尺度上。

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

更具体地说，想讨论对数关系。

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，在计算尺出现之前，必须使用这些称为“对数表”的长图表来计算对数。所以，计算尺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。

In air, this reduction would make a sound seem one-quarter as loud (since the decibel scale is logarithmic, every ten decibels lost roughly equates to a reduction by half in volume).

在空气中，这种减弱会使声音听起来只有原来的四分之一（因为分贝尺度是对数的，每损失十分贝大约相当于音量减少一半）。

And, you know, I'll say this, that planets, in terms of their complexity on some logarithmic scale, fall somewhere between a star and an insect.

而且， 你知道，要说的是， 从某种对数复杂度尺度来看，行星的复杂性介于恒星与昆虫之间。

Do you think you have an architecture now where there is a chance for the logarithmic curve not to tail off any anytime soon?

您认为您现在拥有的架构是否有机会使对数曲线不会很快消失？

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， 但分贝是对数标度，就像地震的里氏标度一样。

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！

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。

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。

Well, think about that logarithmic curve.

那么，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。

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

例如，对数函数存在一个极限。