#things sure have changed!
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Today, a little less than two years after the OP, I asked the same question to a language model running locally on my laptop.
And rather than producing nonsense – or even producing a correct but memorized-looking textbook-style answer – it simply thought about the problem for a long time, like a human would do with a hard problem, until eventually working its way to a correct answer:
Sure, its thought process is awkwardly phrased and repetitive, with some minor errors and confusions here and there, but hey, it ultimately gets the job done.
And it's probably not any more awkward-sounding than my own inner monologue when I'm trying to solve a math problem, if you could somehow transcribe it directly into the written word without cleaning it up at all.
(I like how it thinks about the Dirichlet function briefly at some point, but fails to notice that you can just shift and scale it to get the required property, and immediately zooms off in another direction, never making the connection again. It got what I meant when I pointed this out to it in a follow-up message, though.)
ETA: @sniffnoy points out that the model's final answer isn't quite right, because the complement of D also needs to be dense)
I had some fun asking ChatGPT about cases from "Counterexamples in Analysis." You get this kind of uncanny valley math, syntactically and stylistically correct but still wildly wrong.
This was a response to "Prove or disprove: there exists a nowhere continuous function whose absolute value is everywhere continuous." It responded in TeX, which I coped into a TeX editor.
Another answer to the same question:
#ai tag#mathpost#this was at temperature 0.6 which is in the officially recommended range for this model but maybe explains some of the repetition#(though it's kinda like that even at temp 1)#and i used a 6-bit quantized checkpoint#just 12 GB for the whole model#and it writes ~10 tokens/second on my laptop#things sure have changed!
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After 4 painful Acts and at least a dozen traumatizing experiences that will haunt them forever, Traveler!Bonnie gives the friendship quests a try! And discovers new and terrifying interesting information about the Researcher.
#My art#in stars and time#ISAT Role!Swap AU#Isa instantly apologizes for scaring Bonnie like that#but they both end up having a productive conversation about recognizing when you need to Change to be more like yourself#and recognizing when you are being Changed in a bad way you Don't Want and maybe you should try Fixing That#The biggest takeaway Bonnie gets tho is “I had no idea your glasses were the only thing stopping you from being scary all the time Za”#Isa can never wear contacts ever again around Bonnie that's for sure XD
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Rottmnt Possessed AU
So… It all started with this art of Ghost Leo that I drew quite some time ago.
And then I had an idea.
Do you remember how Gram-Gram died, did the Hamato glowy thing, turned into light and possessed April at the end of season 2?
Well-
What if?
I present to you The Disaster Twins who refused to be separated by such dumdum thing as death.
#before they were one soul in two bodies#now...#my art#art#sketch#rottmnt possessed au#rottmnt au#rottmnt#rise of the tmnt#rise of the teenage mutant ninja turtles#rise leo#rottmnt leo#rise donnie#rottmnt donnie#disaster twins#rise disaster twins#ghost leo#this au has been dusting in my drafts since june wow#i'm still working on it#my first au#like ever#i'm stressed#I wasn't sure if April's costume change was from the possession or just a ninpo thing#but her look was vastly mirroring Karai's#so I decided it was the former#and did the same to Donnie and Leo#I don't have any specific plans for this au for now
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#my art#my oc#dragon age#I’ll have them all neat and organized for a month before I change things up again I’m sure
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playing around w slightly different hair renders
#my art#jujutsu kaisen#jjk#jjk fanart#jujutsu kaisen fanart#jjk art#yuji itadori#megumi fushiguro#itafushi#fushiita#yuuji#megumi#cries megumi fought tooth n nail..... i refused 2 flip the canvas tho >:(#i vastly prefer drawing him facing right bc fr some reason it makes his hair look better silhouette-wise#so having him face left is alr a Challenge#but also having him slightly look down (difficult angle + changes the silhouette) had me bashing my head in2 th TABLE#same thing happened earlier this month w gardening megu middle pose . i did not learn my lesson#but even worse w this one yuuji's head is blocking th main pointy part tht basically carries the entirety of the shape language#u can imagine my distress i am sure#anyway th render made me a lot happier with it thank god. colours hard carry bless <3333#i didn't plan on making it a full sheet but i needed 2 remind myself that im good at drawing megumi#so i threw in solos of each of them n tried slightly different render flavours#idk how Different all of them look visually but th process fr each ws Very different so i am satisfied#fight aside this ws useful i think! got 2 break out some Clunkier chalks n dust off a few of my smoother blended brushes#think i picked up some things i can keep also !! which ws. u kno. the Goal#tbh every time i do art studies i feel like i am kirby#one time i got called an art ditto by one of my fav artist mutuals when i did a style challenge#SUCH high praise from her it lives in my mind i take it out on days when i feel like trash#it doesnt Sound good when u say u r good at copying but real talk it is such a good skill i am very happy 2 have it in my arsenal
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find another role, carry on the show
#EDIT IT DIDNT SAVE MY TAGS. hey so this post got a thousand notes huh. interesting. surely nothing will change#i'll leave all the old tags. for my thought process. and its kinda funny#take a bow stupid idiot (throws a tomato at them)#in stars and time#isat#siffrin#siffrin no middle names no last name ദ്ദി ˉ͈̀꒳ˉ͈́ )✧#... or is it. Smiles#i'd like to draw mira for her birthday but um (hasnt open artfight website in a few days) im scared.#also i have NICE ASKS TO ANSWER.... But im scared. give me a minute#Uawaaaaagh i drew this bc i was trying to animate a little bit but it just . Didnt look good. im not good ag 2d animation#tch. ill keep trying cause there ar e way too many songs that and now about isat because i have brain worms. i need amvs.#IM SCARED TO POST THINGS THAT ARE SPOILERY BECAUSE I WANT MY FRIENDS TO PLAY ISAT. BUT.#isat spoilers#in stars and time spoilers#sasasap#sasasa:p#WHAT IS THE PROLOGUES TAG.#tshirt that says 'i <3 killing the image in the mirror and taking its place' on the fromt#and a list of megan thee stallions tour dates on the back. お金稼ぐ俺らはスター#Im kind of tempted to edit this to be the versiom with the eyes. or maybe twt can have that. or. well#all of my friends are on twt (trombone slide sfx) so maybe thats where i should worry about spoilers.#ill see if i want to slap an eyepatch on them in the morning#Im one of those people who was like idgaf about twohats (lets it simmer for a week) Oh my god. Oh my god. Ohmy god#EDIT. i swapped it out for the Eyes version it should be fine as long as its tagged formspoilers right...#ill post eyepatch vers on twt partly bc spoilers but also ppl over there can be .. annoying ..... ....#i fear i would get 800 You Forgot The Eyepatch replies. PLEASE JUST SEE MY VISION.#[BANGING MY HANDS ON THE GLASS] HIS HAND. LIKE IN THE PROLOGUE. WHEN THEYE. HANDS. HELD[EXPLOSION
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re: that fucking staff post. obviously death to algorithms, but i also wanna interrogate the wider underlying assumptions of their logic there cuz. is 'success' having lots of followers & lots of popular posts??? why is that the end goal of using this website. i don't open tumblr to get attention from strangers, i open tumblr to read funny jokes and interesting commentary and to see cool art. encouraging clout-chasing will only increase user engagement if you successfully get people literally addicted to the associated dopamine hit. what if we didn't have to do that!!! what if a website could be a place you went to on purpose because you had fun there!!!!
#yelling at clouds#you cannot be tiktok. we already have tiktok.#there is a limited number of people on this earth with smart phones and the free time to rot their brains online#your goal cannot be Endless Growth you stupid fucking capitalists#like sure the site is confusing at first. because you have to learn how to use it.#be better at explaining it do not fundamentally change it there is no such thing as universally intuitive design
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breaking the sign in two by how hard im tapping it
#im putting the word queerbait in a very tall box on a very tall shelf and none of you get it back until you actually learn the definition#sjonnies edits#queerbait#queer media#queer#queer issues#there are real queerbaits! a lot of them! but i am SO sick and tired of everything that's not explicitly stated be called queerbait#or when the focus in an action movie is not the full romance#would the hero and the girl have kissed in a straight action movie? sure. but even now more often than not that doesn't happen or the focus#is different entirely#the world doesn't change overnight. but you know what helps changing it? watching the media that's implying it! NORMALISING THAT MEDIA!#showing the studios that it isn't popularity suicide. encouraging actors to diversify and give them the respect they need without turning#every conversation an actor playing a queer character into what their sexuality is!#venom#deadpool and wolverine#loki#911#<- which. btw. fucking INSANE thing to say#also queer characters CANNOT be used for queerbait#QUEER CHARACTERS CANNOT BE USED FOR QUEERBAIT#they can be buried! but they CANNOT be used for queerbait because they. are. queer.
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Thanks.
Prev
#fop#fairly oddparents#fop a new wish#fairly oddparents a new wish#fop nature au#fop dev#fop dale#dev dimmadome#dale dimmadome#art#digital art#comic#The 'Thanks' after all of that makes me so insane Im not even sure I can fully articulate why#I mean. He got what he wanted. Honesty. Thats what you wanted right Dev?#what else do you say to that#He's spent his whole life being sure he knew the answer. That deep DEEP down dale did love him#Have you ever seen that post thats like“I was bawling my eyes out and somebody told me to shut up and I was so taken aback I stopped crying#I think he was so stunned that he just stopped crying.#or like when you get so upset that your feelings turn themselves off to protect you#is that a normal thing that happens to people Erm. anyway#Sorry lol as someone born to parents who.. should not have had me. Writing dale basically admitting as much is actually really cathartic#He shouldnt have had Dev. He doesnt love him. He cant. Dev cant do anything to change it. Its just a fact.#Hes not 1:1 with my parents they tried their best ig but like. their best was still pretty awful child neglect LOL
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Hi it's just to let you know that the official romanization of Revaan's name is Raverne ! Also they have romanized Baul's name to Baur !
Twst coming back at us again with the least expected romanization! thank you everybody (oh god my inbox) (no it's great, I literally asked for this and the reactions have been INCREDIBLE, thank you all!)
I do like Raverne though, I think it's got a nice fancy sound to it! (I had kinda suspected it was going to be an R instead of an L, so the fact that it's SO close to Laverne except for that is hilarious to me personally.) and Dragoneye Duke is honestly probably the best translation for his title, I wasn't envying the localizers that one. :') Baur instead of Baul I was NOT expecting, but in retrospect I think his name's supposed to be a reference to the Bauru crocodile, so that actually makes way more sense!
someone else also said Meleanor has become Maleanor, which is the REALLY weird one to me, because I was so surprised it was written as Mel instead of Mal in the first place?! oh god no I can't decide which one I like better. 😭 (I wonder if they might change it to Mal...they have made romanization changes before) (like I remember House of Distraction being corrected to House of Destruction in Playful Land) (I did check and she's still Mel for now, but I dunno, they might Mal her up and some point and save me from having to make a decision about which one to use) (HECK I CAN'T DECIDE)
uhhhh thank you for letting me ramble about anime names, let's just say MONOGRAMMED SWEATERS FOR EVERYONE
#twisted wonderland#twisted wonderland spoilers#twisted wonderland episode 7 spoilers#twisted wonderland book 7 spoilers#twisted wonderland episode 7 part 4 spoilers#twisted wonderland book 7 part 4 spoilers#mel is so cute but mal fits with the rest of the draconias better#eng version no you were supposed to save me not make things MORE confusing#anyway raverne huh#that uh. that sure feels like it's supposed to evoke raven doesn't it.#what does it mean WHAT DOES IT MEAN#hold on i'm going to flail around embarrassingly about anime character theories now#(okay first a disclaimer: i do think we need to sit down as a fandom at some point)#(and have a discussion about exactly what is actual canon versus meta speculation versus jokes)#(because i think there has been. some confusion. over that re:crowley and raverne specifically)#(but i do feel justified in being like THEY ARE PROBABLY CONNECTED SOMEHOW RIGHT?! right now)#like i really don't think it's as simple as crowley being raverne but with memory loss or something#(and if they pull that on us i'm going to need an EXTREMELY good explanation to go with it to justify that)#they've gone out of their way several times now to make a point about them acting and sounding different and it feels very intentional to m#(and once again: i super 100% absolutely do not believe that lilia wouldn't recognize him with the top half of his face covered)#i just think the contradictions are a lot stronger than the connections right now but there ARE some connections and i'm 👀ing at them#to be fair the connections are mostly meta like crowley being diablo/raverne being evocative of raven#also the general 'raverne mysteriously disappeared and apparently had distinctive eyes' thing#versus 'crowley's past is unknown and he never shows his eyes'#(i will argue that crowley DOES seem to have some kind of canon connection to briar valley)#(since he is clearly some sort of fae and the masks are a briar valley thing)#and that is kinda it right now isn't it#okay hold on i had to delete some tags because i used too many (thanks tumblr for letting me know and not just vanishing them OH WAIT)#so tl;dr: i'm in the 'crowley is connected to raverne somehow but it's more complicated than just him being in disguise' camp personally#but that will probably change as we get more info and also don't take this as an anti-speculation thing because i love theories HOORAY
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I’m sorry Jon M Chu, what do you MEAN your first idea was to have Idina Menzel and Kristen Chenoweth play Galinda’s parents. WHAT
#Love the the One short day we got#But also. My god that would have been…hilarious? Adorable? Utterly fascinating? What an idea#Love that all involved seem to have woken up everyday and been like “how can we make this movie gayer” good work everyone#Also Galinda with two moms? Is the weird societal pressures of being a gayby how you got the comp het girl it happens#Also momsie and momsicle would be sitting there reading that letter like “so she’s in love with this green roommate of hers right”#Alternatively would they have had one of them in drag to play her father. Equally stellar idea#Wicked#lesbian Galinda upland#dearest darlingest momsie and momsicle#No actually I am totally coming around to this Galinda with two moms thing it might’ve worked#Not sure changing her family background works 100% thematically but I find this idea charming and compelling nonetheless#gelphie#postsfromsquahamish
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“Can I live in your house and be your dog?” Hey Brennan? Brennan? What the fuck man. Literally what the fuck? Can I HELP you my guy?
#dimension 20#misfits and magic#evan kelmp#sam black#sam britain#evsam#brennan lee mulligan#I think hearing that may have permanently altered my brain chemistry#I’m different now#things have changed#sure why not
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Prompt 162
“So,” Danny drawled from where he was sitting, legs kicking slightly. Really, what a fun reincarnation. A world with heroes and villains where he didn’t have to do shit in and could just vibe with Ellie.
“So,” Tim responded from where he was typing on his computer, mostly in civilian clothes save for his gauntlets and boots. The Red Robin outfit was haphazardly dropped across the couch and his pole leaning against the end.
“Technically there’s proper procedures for clones…” Danny motioned to both himself and Ellie from where they sat on the counter, snacking on a plateful of scones. From Alfred, he was certain.
“Technically, yes… but do we want to actually do that?”
All three of them smiled, something almost feral in the motion. Of course not. They all had the same memories after all, and Bruce had just returned from the past, from exactly where and when Tim had said he was. Despite no one believing him, hence why they were in his boathouse, and not in the apartment or manor.
“Think we can pull it off?” Ellie took a sip of tea, mischief swirling in her eyes.
“Of course we can.” Both Danny and Tim spoke at once, one pulling up a new doc and the other pulling the whiteboard out from under a curtain.
#dcxdp#dpxdc#prompts#danny fenton#ellie fenton#tim drake#Ras: *Makes Tim Clones*#Danny & Ellie: Lmao we’re gonna blow up this place and go- buh-bye now~#All three of them are salty about the whole time-travelling thing#Tim: Why is one of my clones a girl?#Ellie: Idk man but I’m not changing#Tim: Fair enough do u want me to make you guys proper IDs#They’re going to do mischief and make the Batfam think they’ve always been triplets#They have the paper trail to prove that the Drakes had triplets#Neither Danny or Ellie have powers but that isn’t going to stop them#Nothing can go wrong ever they’re sure#Why yes this is inspired by the Ao3 fic Twincognito Mode#Why YES Bruce does in fact think he somehow adjusted the timeline#And Yes Clockwork does do a little nudge to make their IDs & history *pretty* solid#He's back in Long Now eating popcorn and watching his new favorite show
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I've seen a lot of different takes on Fear Toxin/other fear causing stuff (Yellow Lanterns Ring or something)(later just called Fear Toxin cause I'm lazy) but here is another one.
Danny seems like he isn't affected by Fear Toxin because his biggest fear is that his accident changed him so much he is no longer human, he can no longer truly experience human things.
So when he gets lungful of fear Toxin, he feels normal. He was antsy before, because c'mon, it's a rogue attack but it's not worse. Or so he thought. Because the anxiety lingers. Not enough to register as abnormal just this slight hypervigilance that makes you see things about yourself and your surroundings that you'd never realize otherwise. He'd realize he doesn't blink as often. He'd realize that if he doesn't consciously focus, he sometimes seems to not touch the ground. Forgets to breathe. He can't feel his own pulse at time. He'd realize people will miss him when he's walking down the street as if he was invisible (people just don't care about everyone they pass by). When he'd look straight into his reflection, he'd look slightly to the left. Not enough to actually name anything that was wrong but just stretched enough to fall on the wrong side of the uncanny valley. If he just caught his reflection in the peripheral vision, it'd be vaguely shadowy creature with glowing green eyes and white smoke instead of hair. Overall he'd be just wrong enough to be distinctly not human.
For everyone else, he'd be just a dude. Literally couldn't find more normal dude than this dude. Will pass as absolutely normal human unless someone is specifically looking for ecto-ghost stuff. Even most magic users wouldn't clock him at the glance
Tldr: Fear Toxin makes Danny perceive himself as some sort of eldritch horror but not enough to make him believe he'd actually be affected, while from outside perspective he's Just A Dude™
#dpxdc#dc x dp#dp x dc#dcxdp#fear toxin#please no Ghost King#nothing against this au but i don't think it'll mesh well woth this idea#probably works best with danny soon after accident#maybe still believing all of his parents anti-ghost propaganda#that'd add to angst for sure#idk why he is somewhere where he could be affected#idk who would realize something is wrong#up to whoever wants to do expand on this prompt#he'd cry when someone tells him he's been in fact affected by fear causing thing#because this means he *is* human and while he was fundamentally changed by his death#it didn't fully get rid of his humanity#but he won't tell that too busy being relieved so whoever delivered the news would be in for the ride#actually it'd be cool if it was someone who has superpowers but they showed up later in their life#parallels y'know#... i may still not be normal about “i wonder what could lie beyond infinity” by Numinous_Scribe on ao3...#top notch fic go read it great Clark characterization#anyway because plot kinda escaped me#hope this idea scratches someone's creative braincell or something#im curious what y'all will make out of it#yellow lantern#have a nice day dear stranger who got to this part
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Aftermath.
It was an unfortunate truth of reality that heroes were oftentimes a reactive force. They could only respond to what they knew about.
So whenever the heroes uncovered an illegal lab, it typically had a history. Experiments that had been performed there already. Horrors no one in their right mind would want to bear witness to.
But someone had to go through all those records left behind. To risk the worst of humanity’s crimes in search of any potential clues. Often, they found little that was useful. Maybe some closure for the families of the missing, at most. But sometimes, sometimes they did find things. Their work could save lives.
That didn’t change the fact that few in their departments lasted long, and even fewer could ever sleep soundly.
The man took a deep breath and attempted to steel himself. He knew it wouldn’t help.
He clicked on the file anyway.
GIW Research Logs, Project HLFA, subject DP-01, Experiment #0001.
#thinking about how some poor souls will have to go through all the evil lab things to look for clues#and how that could relate to the heroes finding out about the GIW *after* they’d captured Danny#what’s worse than finding a kid being experimented on? *not* finding the kid but knowing in visceral detail that the experiments happened#is he still alive? did he get out? they don’t know. they can’t know for sure unless they find him or see the outcome on one of the logs#but what if they don’t see him die? is he still out there? they can’t stop looking#and if he didn’t survive? they can’t change a damn thing. all they can do is mourn and try to stop the ones that did it.#dp x dc#dpxdc#dc x dp#dcxdp#danny phantom x dc#danny phantom x dc crossover#vivisected danny fenton#past vivisected danny fenton#ghost investigation ward#giw (danny phantom)#guys in white#i took way too long trying to word this properly and i’m still not 100% satisfied but whatever good enough
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My mom said some things to me about being the slayer. That it's fruitless. No fruit for Buffy. She's wrong.
#bangel#bangeledit#buffy summers#angel btvs#btvsedit#btvs#dailybtvs#buffysource#filmtv#never gonna change my mind on the fact that this dynamic was sorely missed in the latter seasons#he was her rock for so many things#this scene is the perfect example#she's filled with doubts and he's there for her#just as she's been there for him#they could lean on each other and find the strength that was lacking bc of outside forces kicking them down#and sure there was some growth from their separation#but on the other end they were both isolated so many times#which led to being taken advantage of and going off the deep end#so many hardships that they could have faced differently simply by having each other
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