@jeffcliff Well, you should prove it I guess. I think it's actually the only homomorphism, so I don't know what else it could mean.
|@jeffcliff The function [x] |-> [2*x] is a homomorphism from Z_2 to Z_4
@dave As I understanding it, the Russians used GREASE pencils. Which also don't shed bits of graphite. I have heard this story many times and never heard a comparison of the utility of the grease pencils and ballpoint pens.
@augustus Different mountain in krakorum. Its name is Baintha Brakk
@augustus Have you heard of the summit of Ogre I? It was only first submitted in 77 and it is one of the most insane accounts of human preserverance I have ever heard. On of the climbers had to descend the entire mountain with broken legs.
re: Entire board resigns over actions of academic publisher whose profit margins outstrip even Google and Amazon
@ThatWouldBeTelling @kaia @mametsuko @mangeurdenuage "low impact" papers can still be important, especially to researchers. It is especially offensive to be looking up something that was published in a journal 50 years ago that has single-digit citations and to hit a $15 paywall. Yes, sci-hub exists, but it really shouldn't be the critical research tool that it is. Elsiver isn't the only culprit as well. The whole journal system should burn. Publicly funded research should be publically accessible.
Entire board resigns over actions of academic publisher whose profit margins outstrip even Google and Amazon
@mangeurdenuage @kaia @mametsuko Finally! I hate those guys. They should really not exist.
@critical @mangeurdenuage the hole in the ozone was caused by HFCs which could fairly easily be replaced in all of their applications after being banned. Global warming is caused by the global structure of post industrial society and can only be solved by a massive and expensive collaborative effort to reorganize the way production occurs across all levels of the global society.
@kaia I asked it to prove the spectral theorem at one point and it gave me an answer that started by assuming the hardest part of the theorem the ln followed it with a calculation that was incorrect but involved the same symbols and steps as the correct proof, just kind of jarbled.
@kaia It gets a lot of things wrong. If the information you are asking it is slightly specified there is a good chance it will give you an answer that is wrong but looks correct enough that you would not notice unless you were already an expert in the topic you were questioning it on.
@Chronomemes Lebesgue be like
@Loki Personally, I like all of these lol
@ThatWouldBeTelling @confederatehobo @udongle @CatLord @Groomschild I’ve read that. It’s a pretty decent read , even though it’s not completely rigorous the things it smudges, like transfinite induction, are not really important to understanding how hyperreals work. I think it might be hard as a first real (hyperreal?) analysis book though, because it’s fairly concise.
@udongle @confederatehobo @CatLord @Groomschild This is also how Newton worked, since he hated Descartes for some odd reason. Which is probably why Liebniz had the better notation.
Current math phd student. Also likes games and working out.