File talk:Complex log domain.svg
This complex image is incorrect because the logarithm, for its Real part, is a radial symmetric function, so the grayscale must also be radial symmetrical and not asymmetrical as in this image. I hope someone modify this error because i hav'nt a software to correct it. Best regards, --Ming mm (talk) 09:53, 15 February 2022 (UTC)
- Note that lightness denotes the absolute value and hue denotes the argument, not the real and imaginary parts. I visually checked the plot against those in sections Absolute value part over the complex plane and Argument over the complex plane on http://functions.wolfram.com/ElementaryFunctions/Log/visualizations/5 and they look about right.
- Frankly, I think a surface plot like the one on the right is clearer, but I'd like a second opinion.
- Cheers,
cmɢʟee ⋅τaʟκ 22:45, 16 February 2022 (UTC)
Thank you for your note, i normally look at complex Logarithm in its Real & Imaginary part because it have two simply graph in both parts.
Real part is a rotation of an exponential and its Imaginary is an helix, so, when i looked at this image i didn't 'note' the domain, and i think it was of another complex function.
Now i have clearer ideas in my mind:
The complex Logarithm have a twisted "absolute value" & "argument" bat a simply Real & Imaginary part, so why is the first domain used?
I don't know but i think second domain is better.
If you think the image of real Ln(z) in my thumbs is good, you can put it instead of the absolute value and writing a new caption (my english is not perfect as your surely)
Thenks for your time --Ming mm (talk) 15:42, 22 February 2022 (UTC)
p.s. if you think it's interesting you can add this link to external links:
https://www.cm-physmath.net/logarithmus.pdf
- @Ming mm: It seems the image was added by an anonymous user in 2007. The article already has plots of the imaginary parts, so having the plot of abs and arg adds new info, even if it's not something you find useful. The caption already makes it pretty clear what it shows, so I would keep abs and arg, whether as colours or a surface plot. Cheers, cmɢʟee ⋅τaʟκ 22:19, 22 February 2022 (UTC)
