🧵 Untitled Thread
Anonymous at Sun, 26 May 2024 18:28:04 UTC No. 16194498
My abstract algebra final is in one hour and I STILL for the life of me can't wrap my head around trionions
fucking help me out here guys
Anonymous at Sun, 26 May 2024 18:39:47 UTC No. 16194521
>>16194498
I can find absolutely nothing about this on google so I can't help you, even image search returns nothing
Anonymous at Sun, 26 May 2024 18:47:06 UTC No. 16194539
https://zh.wikipedia.org/zh-tw/%E4%
hope you can read Chinese!
Anonymous at Sun, 26 May 2024 19:21:06 UTC No. 16194579
>>16194521
why would you try to teach others about something youre not an expert in? You're like those teachers that stay one lesson ahead of the students
Anonymous at Sun, 26 May 2024 19:56:12 UTC No. 16194624
>>16194579
Doesn't hurt to include a different point of view that isn't going nuts from doing algebra all night
Anonymous at Sun, 26 May 2024 20:10:21 UTC No. 16194650
>>16194624
you're right I apologize
now please explain how it works like I'm bright high schooler
Anonymous at Sun, 26 May 2024 20:21:10 UTC No. 16194662
>>16194650
I don't know because I can't find anything on trionions, I'd like to study this topic myself
Anonymous at Sun, 26 May 2024 20:38:07 UTC No. 16194680
>>16194498
a^2 = B
aB = a a^2
Ba = a^2 a
aB != Ba
How is (a a^2) != (a^2 a)?
Anonymous at Sun, 26 May 2024 20:44:19 UTC No. 16194691
>>16194662
It's arcane esoterica developed by the bourbaki group. the nazi's paramilitary research group, facing imminent defeat against the allies, used it as a last ditch effort to open a portal into the anti-platonic realm. it was banned after the war and considered verboten. grothendieck commited suicide after reading it. you should stay away if you know what's good for you.
Anonymous at Sun, 26 May 2024 20:55:37 UTC No. 16194710
>>16194498
>>16194680
we also have that
aa = B
aaw = Bw
a = 1
and all of them are 1. So they're just 1.
Plz explain op
Anonymous at Sun, 26 May 2024 21:13:58 UTC No. 16194740
>>16194517
>>16194521
>>16194539
>>16194624
>>16194662
>>16194680
>>16194691
>>16194710
Ok I think I did alright on the exam, there was wasn't a lot about trionions. It was more galois theory focused. I think I just psyched myself out
Anyways thanks for the support you guys. Peace.
Anonymous at Sun, 26 May 2024 21:34:37 UTC No. 16194781
Can someone explain what this thing is? I don’t get it.
Anonymous at Sun, 26 May 2024 21:39:28 UTC No. 16194787
>>16194781
It's definitely not a group at least.
Anonymous at Sun, 26 May 2024 21:54:56 UTC No. 16194806
>>16194781
>>16194787
Absolute schizo nonsense, is what it is.
ω acts as an inverse to all of them, which, by definition, implies that they're all congruent, but that also implies that they should commute with each other, which they are asserted to not do
if we ignore that bit and focus on the relations between α,β, and γ, then given the lack of associativity (or even alternativity) as demonstrated by >>16194680, we're looking at a loop at most
Anonymous at Sun, 26 May 2024 21:57:15 UTC No. 16194812
Anonymous at Sun, 26 May 2024 22:02:40 UTC No. 16194820
>>16194812
Well, I'm sold. Definitely more convincing than any of the mathematical arguments presented
Anonymous at Sun, 26 May 2024 22:09:35 UTC No. 16194830
>>16194820
>Well, I'm sold.
incorrect
>>16194820
>Definitely more convincing
correct
>than any
incorrect
Anonymous at Sun, 26 May 2024 22:10:20 UTC No. 16194833
>>16194812
Can I subscribe to your math blog? Or perhaps a newsletter?
🗑️ Anonymous at Sun, 26 May 2024 22:15:54 UTC No. 16194842
>>16194820
>>16194806
I'm sorry if I trust the words of an established math professor over some internet randos
Anonymous at Sun, 26 May 2024 22:18:13 UTC No. 16194855
>>16194820
>>16194806
I'm sorry if I trust the words of an established math professor over some internet randos
Anonymous at Mon, 27 May 2024 00:25:54 UTC No. 16195036
>>16194855
I'm not denying that trionions in general can exist, but the trinity nonsense in the OP isn't it
Anonymous at Mon, 27 May 2024 01:16:41 UTC No. 16195089
>>16195036
>I'm not denying that trionions in general can exist
Huh? Why not? Show me a useful formulation of trionions
Anonymous at Mon, 27 May 2024 01:20:38 UTC No. 16195095
>>16195089
well if someone took the time to write up an entire Chinese Wikipedia article on them... >>16194539
nobody said anything about them having to be useful though
Anonymous at Mon, 27 May 2024 01:21:59 UTC No. 16195098
>>16195095
hate to burst your bubble
Anonymous at Mon, 27 May 2024 01:29:29 UTC No. 16195106
>>16195098
nobody said that they had to be a division algebra
Anonymous at Mon, 27 May 2024 01:34:05 UTC No. 16195111
>>16195098
Oh so trionions, and quaternions, are just number field extensions?
Anonymous at Mon, 27 May 2024 06:13:40 UTC No. 16195344
>>16195111
>Oh so trionions...are just number field extensions?
Not even a ring since multiplication doesn't form a group.
Anonymous at Mon, 27 May 2024 20:57:08 UTC No. 16196472
>>16195344
>>16194498
relevant powerpoint
Anonymous at Mon, 27 May 2024 21:08:50 UTC No. 16196498
>>16194498
you sure do seem to like talking about yourself on social media
Anonymous at Mon, 27 May 2024 21:18:16 UTC No. 16196520
>>16194691
Kino