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法、对和三角函计算、指函、根和幂，以及许多人从未听说过的其他冗长复杂的学术语。

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

的名字给它命名。韦伯定律，我们在对尺上感知物体不同点，而不是在线性尺上。

But let me go back to these sines, cosines and logarithms.

但让我们再说说正弦、余弦和对函。

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.

科学家们喜欢把大爆发放在刻上，并提出对刻量火山喷发期间所喷出的体积：火山爆发指，又称VEI。

And they can’t say it’s to save money, because at the very same time, they voted for trillions of dollars in new tax cuts, weighted towards those at the very top.

他们不会说这是为节约资金，因为此时此刻，他们对以万亿的税收优惠政策进行投票，要为社会最顶层的人服务。

The neural network is trained on hundreds of millions of images paired with captions and can translate virtually any text prompt into a relevant image, even seemingly random prompts.

神经网络对亿张配上字幕的图像进行训练，可以将几乎任何文本提示翻译成相关的图像，甚至是看似随机的提示。

Strong bases meanwhile, like sodium hydroxide, consume large amounts of hydrogen ions leaving the concentration very low, so they 10d to have very high pHs.

那么pH，简单地表示为负的该浓以10为底的对，也就是7我的这小伙伴，成为pH标的基础。

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.

分贝刻是用量声音的响的，而且重要的是要注意这分贝刻表呈对曲线。

Each successive measurement increases logarithmically, meaning that each magnitude is 10 times more powerful than the one before it.

每次连续的量都呈对增加，这意味着每次量的强都是前次量的10倍。

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

不过讲真，我很确定这指本是要像地震震级样呈对出现。

So, for example, I don't think that being a math person means that you can recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably.

所以，比如，我认为成为学家不是指你要能背诵正弦、余弦、正切的函公式和转化运用对和指。

They're what we use most in chemistry, and they're really easy to understand, and also what we base scientific notation on.

是的，没错，对眼看过去是有点吓人，但我们要用的这对却超级简单。

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算相当麻烦。

This is why water can act as both an acid and a base.

对运算的底，或是说log下面的那字，把它作为指运算的底。

Because if you were to plot the progress, the progress looks like a log curve.

因为如果你要绘制进，进看起就像条对曲线。

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

分贝使用我们所说的对尺，学家们应该知道这。

Addition, subtraction, multiplication, division, squaring, cubing, roots, logarithms.

加法，减法，乘法，除法，平方，立方，根号，对。

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

于是他将那据绘制在对尺上。

And then you got two log rhythms.

然后你就得到两对节奏。

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

更具体地说，我想讨论对关系。