Fixing Things Which Can Go Wrong With Complex Numbers

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SUMMARY

The forum discussion focuses on the need to correct the notation of logarithms in a document about complex numbers. Participants emphasize replacing "log" with "\log" or "\ln" for clarity and consistency. Greg's ability to edit the document has been restored, allowing for these changes to be made. Additionally, there is a mention of a common error where "principle" is used instead of "principal," highlighting the importance of precise terminology in mathematical writing.

PREREQUISITES
  • Understanding of complex numbers and their properties
  • Familiarity with LaTeX typesetting for mathematical notation
  • Knowledge of logarithmic functions and their representations
  • Awareness of common mathematical terminology and its correct usage
NEXT STEPS
  • Research LaTeX formatting for mathematical expressions
  • Study the properties of complex logarithms and their applications
  • Learn about common mathematical terminology errors and their corrections
  • Explore the NIST Digital Library of Mathematical Functions for official notation standards
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Mathematicians, educators, students of mathematics, and anyone involved in writing or editing mathematical documents will benefit from this discussion.

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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.
 
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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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