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

但让我们再来说说正弦、余弦和对数函数。

Secretary Sebelius faced hours of questions during that Congressional hearing yesterday.

部长西贝利厄斯在昨天国会听证会上面对数小时质疑。

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

对数运算底数，或是说log下面那个数字，为指数运算底数。

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

不过讲真，我很确定个指数本来是要像地震震级一样呈对数出现。

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

名字来给名。韦伯定律，我们在对数尺度上感知物体不同点，而不是在线性尺度上。

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

是，没错，对数一眼看过去是有点吓人，但我们要个对数却超级简单。

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

多项式也可以于近似对数和三角函数些函数手算相当麻烦。

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

每一次连续测量都呈对数增加，意味着每一次测量强度都是前一次测量10倍。

And not just any logarithms, but those known as " natural" ones.

不仅是任何对数， 还有那些被称为“自然” 对数。

And the entropy is the log rhythm of that number.

熵是该数字对数节奏。

There's this fascination with counting cards.

人们对数牌着迷。

So it's like a series of log curves.

所以就像一系列对数曲线。

The new formula relies on the mathematical concept known as logarithms.

新公式依赖于称为对数数学概念。

Log base 2 of 8000 is roughly 13.

8000 以 2 为底对数大约是 13。

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

对于那里数学家来说，分贝是我们所说对数刻度。

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

因为如果你要绘制进度，进度看起来就像一条对数曲线。

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, researchers encode trillions of mRNA molecules with the instructions for a specific viral protein.

首先，研究人员使特定病毒蛋白指令对数万亿个 mRNA 分子进行编码。

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数关系。

The consumer confidence index monitors consumer sentiment based on monthly interviews with thousands of households.

消费者信心指数根据每月对数千户家庭访谈来监测消费者情绪。