4 ms·
I have found the Wikipedia entry to be much clearer and interestig than this article https://en.m.wikipedia.org/wiki/Arithmetic_derivative https://en.m.wikiped
by Almondsetat 2y ago
I have found the Wikipedia entry to be much clearer and interestig than this article
https://en.m.wikipedia.org/wiki/Arithmetic_derivative https://en.m.wikipedia.org/wiki/Arithmetic_derivative
- tromp 2y agoNon-mobile link: https://en.wikipedia.org/wiki/Arithmetic_derivative https://en.wikipedia.org/wiki/Arithmetic_derivative
- keepamovin 2y agoYeh the link is good, and I think the article is good too, discussing some limitations / gotchas / cons. Gives me the impression maybe a more useful definition could be crafted, but also that this D function could be unexplored and yield some cool stuff :) haha!
- yau8edq12i 2y agoThe article also contradicts Wikipedia, e.g., the article claims that Barbeau introduced the derivative in 1961, but Wikipedia gives several references to Shelly's definition of the derivative in 1911. You'd expect an emeritus professor to have enough time on their hands to check their sources...
- playingalong 2y agoThey likely weren't emeritus in 1961.
- lupire 2y agoThe article is 2014, when Lipton was 64. So maybe emeritus, maybe not.
- yau8edq12i 2y agoI'm talking about the author of the article, Lipton. Not Barbeau who is the subject of the article itself, not its author.
- samatman 2y agoOne of the nice things about Wikipedia is that you can use it as a time machine, instead of just blindly throwing about accusations. If you look at the first page in 2014, the time of the article, you'll find this: https://en.wikipedia.org/w/index.php?title=Arithmetic_derivative&oldid=593878052 https://en.wikipedia.org/w/index.php?title=Arithmetic_deriva... > E. J. Barbeau was most likely the first person to formalize this definition. This suggests to me that Shelly's earlier definition in 1911 was not generally known. Indeed, Wikipedia has been a significant driver in rescuing earlier results in mathematics from obscurity. But you can't cite what you don't know. So I wouldn't expect an emeritus professor, or anyone, to have either a time machine or a crystal ball.
- yau8edq12i 2y agoLook, I'm a professor of mathematics at a research university. If I decided to use Wikipedia as my sole source for deciding who to credit for what, my papers would get rejected when they inevitably become wrong. "it wasn't on Wikipedia" is hardly an excuse when it comes to ethics. What is known by the average Wikipedia editor is not what is known by experts in the field.
- thecodedmessage 2y agoWould you have found out about those earlier sources without Wikipedia? I think it really depends on how obscure they actually were. I’d take the fact that neither Wikipedia nor this article knew about these earlier sources in 2014 as evidence that they were pretty obscure.
- yau8edq12i 2y agoYou don't need to reply twice to make your point. > Would you have found out about those earlier sources without Wikipedia? I'm not an expert in this domain. The author is.
- thecodedmessage 2y ago“Ethics” for what is almost certainly an honest mistake with a reasonable diligence of research? Accusing someone of ethics violations should require more research than you’ve done!