Fixing Things Which Can Go Wrong With Complex Numbers

[PAllen]

TL;DR

A new insight with this title has been posted.

Greg tells me the feature to generate a new insight announcement is broken, so I am doing this:

https://www.physicsforums.com/insights/fixing-things-which-can-go-wrong-with-complex-numbers/

 

[dextercioby]

Hi, I know you worked a lot to write it, but can you at least replace $log$ with $\log$ everywhere, or ideally with $\ln$? Thank you!

 

[PAllen]

Hi, I know you worked a lot to write it, but can you at least replace $log$ with $\log$ everywhere, or ideally with $\ln$? Thank you!

If Greg restores ability to edit, I am willing to do this within all latex brackets. Where I just refer to log as text, I would rather not, but could be persuaded.

It would have been much easier to address this had you raised it during the period I had it up as "request for review" in the advisor lounge.

 

[Greg Bernhardt]

@PAllen you should be able to edit now, thanks!

 

[PAllen]

I'll wait to see if any other requests for improvement come in, so I can do all at once.

 

[vela]

Hi, I know you worked a lot to write it, but can you at least replace $log$ with $\log$ everywhere, or ideally with $\ln$? Thank you!

Isn't the complex logarithm traditionally denoted $\log$, not $\ln$?

I'll wait to see if any other requests for improvement come in, so I can do all at once.

I noticed in a couple of places you used principle where you meant principal.

 

[PAllen]

Isn't the complex logarithm traditionally denoted $\log$, not $\ln$?


I noticed in a couple of places you used principle where you meant principal.

Thanks!

 

[dextercioby]

Isn't the complex logarithm traditionally denoted $\log$, not $\ln$?


I noticed in a couple of places you used principle where you meant principal.

It depends on what you consider "tradition". The official use in the US (which is not my country, btw) is the NIST one:

https://dlmf.nist.gov/4.2