eigenwhatever
eigenwhatever
eigenwhatever
8K posts
you can call me eigen | he/they/she | 23 currently listening to 八月、某、月明かり on repeat
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eigenwhatever · 9 hours ago
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nothing makes me cry like the embankment tube station voiceover story !!! nothing !!!!!!!
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eigenwhatever · 9 hours ago
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Consider a category of algebras whose signature consists of a binary operation * alongside some collection of unary operators, and assume that this binary operation is always required to be commutative, that the unary operations distribute over it and commute with each other.
Given homomorphisms f, g : A -> B we can then define a map (f * g)(a) = f(a) * g(a) It follows that (f * g)(a * b) = f(a * b) * g(a * b) = f(a) * f(b) * g(a) * g(b) = f(a) * g(a) * f(b) * g(b*) = (f * g)(a) * (f * g)(b) Similarly for each unary operation it follows that (f * g)(u(a)) = f(u(a)) * g(u(a)) = u(f(a)) * u(g(a)) = u(f(a) * g(a)) = u((f * g)(a)) It then follows that f * g is a homomorphism. Now, given a homomorphism f : A -> B for each unary operator u we can define a map u(f)(a) = u(f(a)). It follows that u(f)(a * b) = u(f(a * b)) = u(f(a) * f(b)) = u(f(a)) * u(f(b)) = u(f)(a) * u(f)(b) Given another unary operator v it follows that u(f)(v(a)) = u(f(v(a)) = u(v(f(a)) = v(u(f(a)) = v(u(f)(a)). Hence, it follows that Hom(A, B) is an algebra of the same type, showing that this category has an internal hom. I think this is the most general setting where this sort of thing happens.
Conjecture: If a variety of algebras has an internal hom then it's basically the above sort of thing.
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eigenwhatever · 9 hours ago
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theyre selling WHAT on ebay now
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eigenwhatever · 9 hours ago
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Happy Easter! As a gift, take a bad math joke.
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eigenwhatever · 9 hours ago
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Hey everyone, welcome back, it's me, Youtuber, but before we get into the video, did you know that only 20% of you all that watch my stuff are subscribed? The other 80% aren't, so please, subscribe if you like my videos, and hit that bell for notifications, it really helps with the algorithm, I put a lot of effort into these videos, and I'm trying to make this channel something special, for all of you in the community with the best content possible. Now, let's get into the video. So, the latest Genshin drama,
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eigenwhatever · 9 hours ago
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the first rule of being on the internet is you should have other stuff going on, besides being on the internet
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eigenwhatever · 9 hours ago
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eigenwhatever · 9 hours ago
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This Video Essay Could Have Been A One Paragraph Rant On Tumblr
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eigenwhatever · 9 hours ago
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Idk man, have this.
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eigenwhatever · 9 hours ago
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eigenwhatever · 9 hours ago
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i love having adult horse girl friends. I’ll send them a 100x100px crunchy ass jpeg of a random brown horse and be like “thought of u🐴” and I can literally feel their sims relationship bar fill up in real time
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eigenwhatever · 9 hours ago
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your regular reminder that "we protect the data we collect about you" will literally never be as safe as "we don't collect that data about you". If that information doesn't need to exist, then it shouldn't.
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eigenwhatever · 9 hours ago
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the MOST iconic 20 seconds of any anime dub i’ve ever experienced
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eigenwhatever · 15 hours ago
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Tasteful bulge? Yeah I would like a taste f- [I am interrupted by the sound of a dry twig snapping. This is impossible, as I am in the infinite linoleum bathroom dimension for this joke.]
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eigenwhatever · 15 hours ago
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I will eat both of them
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eigenwhatever · 15 hours ago
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so I got into grad school today with my shitty 2.8 gpa and the moral of the story is reblog those good luck posts for the love of god
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eigenwhatever · 15 hours ago
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today one of the student workers at my job told me that if she’s struggling to remember something important in her course work she’ll wait until her professor asks a question related to that topic during a lecture and then she’ll purposefully raise her hand and answer it wrong because, and I quote, ‘the combined shame and embarrassment of getting an answer wrong in front of more than a hundred of your peers will make sure that you’ll never forget what the right answer actually was’ and if that is not the most next level balls to the wall bonkers extrovert thing I’ve ever heard then I don’t know what is
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