In $f(t) = \cos(\omega \cdot \log t)$, would I refer to $\omega$ as a frequency, does it have another name, or does it lack a common name?

Asked Mar 20 '17 at 20:24

Active Mar 20 '17 at 20:24

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If I have the function $f(t)=\cos(\omega \cdot t)$, $\omega$ is commonly referred to as a frequency.

Suppose instead, though, I have the function $f(t) = \cos(\omega \cdot \log t)$. Would I still refer to $\omega$ as a frequency?

And for that matter, is there any special name for this more general type of cosine-of-log generally?

asked Mar 20 '17 at 20:24

Nathan McKenzie

1

I would, because you can use change of variables to bring expression $f(t) = \cos\left(\omega!\cdot!\log t\right)$ to the original form $f(t) = \cos\left(\omega!\cdot!t\right)$ bia change of variables – Vlad Mar 20 '17 at 20:27
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I wouldn't. I might call it the log frequency or something? – Qiaochu Yuan Mar 21 '17 at 00:52

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