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$\Large n = \Large a^{-1}\cdot e^{\frac{\huge it}{\huge s}}$


It is a catchy phrase.

Tom
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1 Answers1

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Well, doing some mathematical manipulation:

$n=a^{-1}\cdot e^{\frac{it}{s}}\Rightarrow an=e^{it/s}\Rightarrow\log(an)=\frac{it}{s}\Rightarrow s\log(an)=it$

So I guess the answer is

it's a slogan.

Rand al'Thor
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    I argue it should be $\color{white}{s\ln(an)=it\text{ (since the base of the log is currently undefined}}$ (highlight to see spoiler). – boboquack Oct 27 '17 at 09:22
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    @boboquack As a pure mathematician, I use log for natural logarithm. ln is an abomination. – Rand al'Thor Oct 27 '17 at 09:28
  • Is there a specific reason as to why you used implication-arrows? Aren’t most manipulations equivalence mutations? – Narusan Oct 27 '17 at 13:06
  • +1 @Rand... Good one. However we understood log as for logarithm(that is for base 10 or other bases) and ln as for natural logarithm (to the base e) – Mea Culpa Nay Oct 27 '17 at 13:21
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    @MeaCulpaNay As Rand already explained, actual mathematicians use log to mean natural log. – Gareth McCaughan Oct 27 '17 at 13:44
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    It really depends on context. Mathematics: log = base e. CS: log = base 2. Many other fields of research: log = base 10. – JAD Oct 27 '17 at 14:49
  • @Gareth That's not exactly what I said. I'm not snobby enough to say applied mathematicians aren't actual mathematicians ;-) – Rand al'Thor Oct 27 '17 at 18:29
  • I think most applied mathematicians use log to mean natural log too. You get more base-10 logs in engineering, though. – Gareth McCaughan Oct 27 '17 at 20:37
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    @Randal'Thor $log$ is an abomination because it lacks clarity. As a member of the STEM community, clarity should be a very high priority for all of us. You may find it distasteful, but you (and many others) will never be confused about the base if I write $ln$ or $lg$ or $log_{10}$. – jpmc26 Oct 27 '17 at 22:03
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    @jpmc26 except I have never seen the lg notation before... – Socratic Phoenix Oct 27 '17 at 22:15
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    @SocraticPhoenix it means $\log_2$ – boboquack Oct 27 '17 at 22:20
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    @jpmc26 The notation $log$ is an abomination because it is typeset like the product of three variables $l$, $o$, and $g$. Please use \log to get $\log$. Similarly for $\ln$ and $\lg$. (And BTW, $\lg$ is used in some fields to mean $\log_{10}$ rather than $\log_{2}$.) – ShreevatsaR Oct 28 '17 at 06:01
  • @ShreevatsaR Pardon me. As a programmer, I don't use LaTeX very much. Thanks for the tip! – jpmc26 Oct 28 '17 at 06:03