Fixing Things Which Can Go Wrong With Complex Numbers

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Discussion Overview

The discussion revolves around the formatting and notation used in a written piece about complex numbers, specifically addressing the use of logarithmic functions and terminology. Participants express concerns and suggestions regarding the consistency of notation and the accuracy of terms used in the context of complex analysis.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants request the replacement of "log" with "\log" or "\ln" for consistency in notation.
  • One participant notes that the complex logarithm is traditionally denoted as "log" rather than "ln".
  • There is a mention of a typographical error where "principle" was used instead of "principal".
  • A participant expresses a willingness to make changes if other requests for improvement are received.
  • Another participant references the NIST guidelines regarding the notation of logarithms, suggesting that the official use may vary by region.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the preferred notation for logarithms, as there are competing views on whether "log" or "ln" is more appropriate in the context of complex numbers. The discussion remains unresolved regarding the typographical corrections and the implications of regional conventions.

Contextual Notes

The discussion highlights varying conventions in mathematical notation and the potential for misunderstandings based on regional practices. There are also unresolved aspects regarding the editing process and the timing of feedback.

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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!
 
dextercioby said:
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.
 
Last edited:
I'll wait to see if any other requests for improvement come in, so I can do all at once.
 
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dextercioby said:
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##?

PAllen said:
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.
 
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vela said:
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!
 
vela said:
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
 

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