#even differential

[isomorphismes]

“the Yang-Mills equations are nonlinear, therefore there is little hope of finding a closed-form solution.” Such a statement seems plausible. Linear differential equations with constant coefficients are the only differential equations for which a general solution is given in closed form. As often occurs in life, however, the exceptions to the rule are sometimes more interesting than the rules themselves. Let us digress from quantum physics to the motion of water, where British shipbuilder John Scott Russell noticed a solitary wave in a canal in August 1834. Neither Airy nor Stokes accepted this observation, yet in 1895 Korteweg and de Vries found an equation for a wave travelling in shallow water in one direction: u̇ + 6•u•uₓ + uₓₓₓ = 0. The KdV equation is easily solved by restricting from two independent space-time dimensions (x,t) to a single dimension x−λt —��a frame matching the speed λ of a travelling wave.

Mikhail Ilʹich Monastyrskiĭ, Riemann, Topology, and Physics

[honetii]

I'm like super normal and not unhinged in the slightest (I spent 3 days formatting, printing, and binding a niche internet story about sci fi football into a 280 page physical book)

[elodieunderglass]

I’m still processing how it happened and wondering what it all means, but today a big pink hamfaced English guy tried to fight Dr Glass in a parking lot (!) and a completely unrelated, amazingly tall woman appeared (!!) and charged the other guy in defense of Dr Glass (!!!) shouting at him so effectively that he got in his car and drove off.

Dr Glass doesn’t look like anything in particular or even do that much, he is so ORDINARY. He just emits some kind of magnetic field that causes Events, and yet the magnetic field also creates feedback that insulates him from the Events. Doesn’t even have to do his own fight scenes!! just magnetically attracts a TALL BRAVE WOMAN to destroy the entire fighting premise. No one can prepare for this. I feel like I’m the only person who notices it

[disastertwins9000]

making jason and dick hang out while i’m teaching myself to draw them

[yuwuta]

please feed us some yuuji blurbs there’s a lack of him rn :(

ofc… sweetest boy all time… here’s something was was meant to be a longer project but got lost in the editing whirlwind… love him so bad... 

NEVER LOST IN TRANSLATION, BECAUSE YOU KNOW WHAT I WANT 

notes: reader is implied to be american/english-speaking, yuuta and megumi are bilingual, yuuji, bless his soul, is not. i didn’t use italics for conversations between yuuji and megumi because it would all be in japanese, but when they get mixed later in the scene, japanese is differentiated with italics. hope that’s not too confusing lololll

Honestly, Yuuji tried his best in school. Some things came easier than other, but with a bit of hard work, and help from his friends, he always managed to pull pretty good grades. But right now, his biggest regret is not taking english more seriously in high school, because it’s been about three weeks since he met you, and he’s only been able to say maybe five full sentences to you without the help of Yuuta or Megumi translating. 

He was excited when Yuuta said his friend from abroad would be coming to visit and study, but god, he didn’t expect you to be so pretty. To have such pretty eyes, and pretty lips, and pretty hair, to have the prettiest voice in the world despite him only understanding every eighteenth word you say. You’re beautiful to him, and Yuuji thinks that even if he could speak your language fluently, the words would still get caught in his throat. He’s so lovesick, it’s embarrassing—his friends have been harping on him blushing and stuttering over you for the past month, and he can’t even blame them.

“What does she say to you when you guys talk,” Yuuji whines, hovering around Megumi, and not-so-discreetly looking back at you where you’re still sat in the living room laughing with Yuuta, “Does she ever say anything about me? I mean—probably not right? Which is fine! Actually, dont tell me—no, do. Or maybe—”

“She asks about you,” Megumi says, matter-of-fact in delivery, as he places a bag of popcorn in the microwave, but that doesn’t curb Yuuji’s enthusiasm. He’s practically bouncing, if he weren’t already—begging Megumi to spill the details, “What did she ask? Tell me! Tell me!” 

“She once asked if you dye your hair.”

“That’s it?!” Yuuji screams, heartbroken, and visibly deflating.

Megumi shrugs, “Yuuta probably knows more. She’s his exchange buddy friend thing, so ask him.”

“I can’t ask him, he’s right next to her!” Yuuji pouts, “Wait, what does ‘exchange buddy friend thing’ mean? You don’t think they’re more than friends, right…? I can’t blame her, senpai is really pretty, too, and he can actually talk to her… so unfair.” 

“You know, she’s not fluent, but she can understand some Japanese,” Megumi reminds him, “So, she can definitely hear you, and probably understand you.”

Yuuji’s shoulders slump, and once again, he turns around to look back at you. This time, you two make eye-contact, and that instant, Yuuji’s cheeks go pink, a nervous hand raised to wave at you, and instant internal regret at his actions; but, then you smile, and wave back, and Yuuji stays like that, dumbfounded and lovestruck and on autopilot as he waves with hearts in his eyes until Yuuta looks up from his phone and catches him.

Embarrassing. He knows he’s not the brightest, but he’s at a record high of self-embarrassment since he’s met you.

Yuuta finds himself chuckling when Yuuji spins around and goes back to prodding Megumi with questions. When you turn to face him again, it’s with a shy smile.

“I told you you’d like him,” Yuuta grins—the kind that seems sweet and innocent, but has just a kiss of that all-knowing tease to it; the kind that reminds you that he’s truly related to Satoru.

“Oh, be quiet,” you grumble, tucking your legs in and resting your chin on your knee. You spare another glance in Yuuji’s direction, for once, grateful for the language barrier between the two of you, when you turn back to Yuuta to proclaim: “I can like someone and not do anything about it. You’re real good at that, aren’t you?”

Yuuta’s slightly cocky grin falls into a scowl, and now you get to smile when he argues back, “We said not to bring up he who shall not be named in the presence of my friends!”

“Then don’t bring up my he who shall not be named in the presence of him!”

“Aren’t Americans all about forging new frontiers and chasing after your dreams?” he taunts, “Well, your dream is right in front of you.”

“My dream right now is to kill you.”

“Lucky for me, you’re going to have to hold off on that because your lover boy is approaching.”

You don’t have time to argue back with Yuuta when Megumi and Yuuji approach the living area with snacks in tow. Yuuta scoots to the tail end of the couch under the guise of giving Yuuji space to place the popcorn and nuggets in the center of the coffee table, but he has just enough time to flash you a wink before Yuuji settles in between. Megumi opts for the loveseat closets to Yuuta’s end of the couch, and you do your best not to reach over Yuuji and strangle Yuuta.

The boys decide on watching a movie you’ve never heard of, but Megumi reassures you it’ll be easy to follow and has English subtitles. You don’t mind, settling in to your corner of the couch with a handful of popcorn just as the title-screen for Human Earthworm 3 rolls across the TV.

You can follow along well-enough—even without subtitles, you get the gist of the movie. What you really find entertaining is Yuuji, who occasionally blurts out a comment or exclamation, or audibly coos whenever something sad is happening on screen. He’s almost as animated as the characters; you’re more of the silent-watcher type, but you find yourself endearing by this commentary, even if you can only understand parts of it.

You particularly appreciate the way that after every comment, he either motions to Megumi, or turns to you himself to repeat his thoughts in his best broken English, and even when you don’t understand his words, you understand him. His emotions are all on his sleeve: frustration, happiness, confusion, curiosity—communication between you two should be more difficult, but Yuuji makes it easy.

It gives you the confidence you cough out your own observation, “You, um… you’ve… seen the others? You seem to like this series.”

Across the room, Megumi and Yuuta hold their breaths, opting to not translate for you when you switch from Japanese to English. Yuuji is quiet for a moment, turned to face you with a slightly confused look on his face that makes you nervous, until his eyes brighten up and he smiles and begins nodding fervently—“Yeah—yeah, I do! It’s my… hm how do I say it… Oh! It’s my favorite!”

Between the smile on his face, the blush on his cheeks, and sincerity in his voice, you feel like you’re wrapped up in his world. It’s a little confusing, and scary, but it’s not all that bad. Maybe you can do something about it, eventually.

“I.. I think I like it, too.”

[luvjunie]

miles “i got it” morales earth 42 miles 591 words

Between the both of you, Miles is always the first to stand up when the bell rings at the end of class. With all the textbooks you bring to school, he knows your backpack is just one mechanical pencil away from hitting a ton and for that reason he never lets you carry it yourself. In fact, he makes it his mission to pick it up before you do. With his own backpack on one shoulder, he’ll watch for the exact moment you’re done tucking your supplies away just to interrupt you as you’re mid-reach so he can scoop it up into his free hand by the top handle.

“I got it.”

Miles always pays for you guys’ dates. You knew this wasn’t abnormal when it came to relationships, seeing as he’s the guy, you’re the girl, and that’s just the ‘societal norm’ or whatever. It’s how your dad told you a male should treat the girl he’s with, and based off how Miles acts, you assumed his own father had given him the same speech as well before he passed. But even when you two take a stroll to the corner store to pick up some cheap snacks for a study session—the total coming out to as little as $4.37 for some sunchips and sour gummy worms—he still won’t let you pay.

He’s already getting his wallet out before the cashier can read the total off. And when you try and protest, he’s all—

“I got it.”

When your laces have come undone and you hadn’t noticed.

“Ma, your shoe’s untied.”

You’ll stop in your tracks and look down at your loosened laces, prepared to hand your phone off to him so you can bend down to tie them, and like always—

“I got it.”

When the pizza you ordered an hour ago finally shows up at the door and you get the ‘arrived’ notification on your phone—which he’s already seen because he’s always looking over your shoulder as you scroll your time away on tiktok, watching them with you as an excuse to be all up on you—you can bet your life on what his response will be.

“I got it.”

You knew he only wanted to be a gentleman, but at this point, you were convinced ‘I got it’ was his middle name instead of Gonzalo.

For a while now, Miles has felt like he has to take responsibility and do everything even when something isn’t asked of him, and you wanted him to know that same sentiment didn’t have to apply to the two of you. So you started trying to beat him at his own game.

Brushing past him and rushing down the concrete steps of his apartment building to make it to the passenger side door and open it for yourself before he can.

Keeping your backpack on the opposite side of your desk so you can have the chance to pick it up before him, even if it earns you a subtle glare each time. And while some days it really is too heavy for you to carry—heavy enough to make you question exactly what point you’re trying to prove here—you remain determined.

Having cash ready and smacking it down on the peeling countertop of the bodega before your snacks have even been rung up, and regardless of how insane you look and how the clerk squeezes his face at you to confirm that, the triumphant grin you give Miles (who’s struggling to contain a smile of his own) doesn’t falter.

“I got it.”

[shigayokagayama]

i love that, despite his general ritsu-ness, im pretty sure that ritsu is the side character we see cry the most often

[great-and-small]

I don’t know who “Brennen Lee Mulligan” is (google says comedian?) but based on the way his name is always invoked on specific personal posts of mine I am going to go ahead and theorize that he is…

1. passionate about birds

2. bad at identifying them

and while I deeply wish I could deny the second half of that assumption to myself, my weakness in gull identification suggests it is probably a fair comparison

[gamebunny-advance]

Hah.

I'm not a linguist, so I don't have the terms to really describe what I'm explaining, but I like how the latest Pikmin comic implies that the Pikmin language probably doesn't contain specific words for specific items. Instead, it seems like they communicate almost strictly with descriptive language.

While it's possible that "bulborb" and "mushroom" are just similar sounding words in the Pikmin language, I think the implication is that their language is very context-sensitive, so missing any part of a message can significantly change its meaning.

So for example, "bulborb" might be something like "dangerous spotted big red" in the Pikmin language, then the yellow pikmin might have misheard the "dangerous" part and just heard "spotted big red" which would be their word for "mushroom."

It's very fascinating~

[nite-puff]

“mondo isn’t fit to be an ultimate. he’s too childish and doesn’t deserve the respect and credit he’s given.” YOU LITERALLY FELL FOR MONDO’S TRAP

the whole bit is that mondo does deserve his place as the gang’s leader. he does deserve that notoriety. he does deserve taka’s respect. because he’s good at what he does. he worked his ass off to get to that level. he literally started at the very bottom of the gang but climbed the ranks to the point that he was considered to be the leader’s equal. all in a very short span of time. that’s impressive as fuck.

daiya didn’t need to choose mondo to be his successor. but he did. because he recognized that mondo more than deserved it. and he was right. mondo went on to make the gang what it was, to the point that it became the largest in the country and mondo himself became the de facto leader of every other biker gang. he really was that popular in that culture.

the one person who thinks mondo doesn’t deserve any of that is mondo himself. and that’s brought to the forefront because junko knew that preying on that insecurity would get her the reaction out of him that she wanted. why do you think she worded his secret that way when mondo didn’t actually kill daiya?

mondo is a good, hardworking person. he just doesn’t think he is because (get this) he hates himself. people from his past made him believe he was worthless. so now he doesn’t listen to the people that tell him he’s worthy.

but at the end of the day. daiya wasn’t the ultimate biker gang leader. mondo was.

[worthyprnce]

✶— merlin · [falco columbarius]:

a small species of falcon

✶— gawain · [celtic]

name with celtic origin, meaning battle hawk, white falcon, little falcon or white hawk

✶— falcon

in medieval times, falcons symbolized power, status, nobility, love, daring and mystery. in late medieval courtly literature, falcons were associated with daring, mysterious and catastrophic love.

✶—tulip [tulipa]

"I declare my love for you"

✶— honeysuckle [lonicera]

devotion, affection

✶— cornflower [centaurea cyanus]

"hope in love"

✶— ivy [hedera]

fidelity, attachment

[I don't know exactly what I wanted with this. I did this mostly for myself, just because I couldn't stop thinking about this little parallel between merlin's and gwaine's names. I made gwaine's falcon with white and lighter colours because I wanted to represent the other meaning of his name, white falcon, but I made sure to let the top of his head gray/blueish because that's what a male merlin falcon looks like. also, gwaine's not albino, at least it wasn't my intention, but it's okay if you want to interpret it that way. I noticed I used colours that would make him look like he's albino only when I finished this lol but all I wanted to do was differentiate the two falcons and make that reference to gawain's name meaning.

anyway this took me a good amount of 19 hours and it crashed my app and phone. I lost my original canva but thankfully I had saved the art in my phone in time. it was a fun experience, I've never drawn feathers like this, so it was a bit challenging but I like the results :]

[whaleiumsharkspeare]

In Wonka (2023), when he sings “all the colors of the rainbow, and some others too”, the “others too” of that line refers to the color wavelengths on the light spectrum that mantis shrimp can see but humans can’t, in this essay I will-

[zareleonis]

unbearably haunting how furina and neuvillette both have a "past self" of sorts whose memory and experience they had nearly no knowledge of, and it took furina's other half arranging her own death, thus losing that part of herself forever, for neuvi to regain his

[srnileforme]

WE ARE (2024) | EPISODE 6

[m4rs-ex3]

so naturally i was up at 1am the other night watching tdp related youtube videos and i figured i'd watch the 2020 comic con panel since it'd been a while and oh my god some of this shit

(also just me talking about how much i love this cast)

"IT IS I, DARK_MAGE_DAD420" i cannot believe that is real

aaravos: "if i want to do a screen call, i must perform a cosmic blood ritual. with a mortar and pestle. AND FLOATING KNIVES" you are fucking kidding me (edit: i realize that pertains to what he did in s2 but still like "cosmic" "ritual" "knives"? cmon)

jason simpson playing the ukulele. that's all.

jack: *talking about how he had a baby in quarantine* eric: i've been doing a lot of gardening... uh i haven't had a baby, but you never know! i mean if it's possible through social distancing aaron: if anybody can make that happen through social distancing it's aaravos you are F U C K I N G KIDDING ME

racquel: some fun things i did- i uhh died my own hair and burned my scalp and i would like to inform you all it's finally healed and we're good to go, i'm ready to do it again! i'm obsessed with the fact that racquel is quite literally claudia irl

the ttm read is awesome. jack came with the Rayla Voice fucking PREPARED oh my god

i don't think i've ever actually talked about the dnd sketch but it is one of my favorite things in the entire world

rayllum in this sketch is amazing particularly callum he is SO down bad like "my character is a mysterious elf assassin with two beautiful blades to match my two beautiful eyes~~ ✨" like hello that's canon idc if it's a sketch that is canon

"my character cannot help but look at her. he locks eyes with rayla's mage" "....there will be time for roleplaying later" HELLO THATS GOLD

viren in this skit is genuinely one of the funniest things i've ever seen. i cannot emphasize enough this is comedy

necromancer ezran. i think about him daily.

s: "i start swinging my sword at, uhh, idk, rayla's mage" r: "WAIT WHAT" c: "uh wait wait i take it back MY SWORDS GLEAM INTO THE LIGHT AS I LEAP TO THE DEFENCE OF THE BEAUTIFUL MAGE!" s: "hey no takebacks!" sibling ass fight i love them

"LIKE WHAT DO YOU ACTUALLY DO?"

i rolled a 1 😐

i loot their corpses for blood >:D

"do elves have four toes?" "i always assumed that they would have 6 so they could learn how to count to 20" paula my love

someone get sasha some hamantaschen

i don't need arc 3 actually i just need the beta script including as many guns n roses references as possible

racquel: ok call me crazy, call me crazy... jesse: you're crazy, racquel racquel: THANK YOU FINALLY they are literally just them

"I WILL NOT BE POSTING A SINGLE THING ABOUT ICE, FOR I AM JULIA" (okay but.... venous frigoris anyone?)

paula: ugh, no one likes soren jesse: well no one likes rayla racquel: you two should fight 😈

long hard sigh

bonus: jason: literally no one likes viren so let's move on

"how old is bait?" "sasha, how old do you think bait is?" "3."

"is-is a glow toad kinda like a toad?" "................kind of"

i fucking love sasha have i ever mentioned that i fucking love sasha

"i think that he's 56." "either 3 or 56 only, apparently"

the saga announcement is great i love how everyone's is so excited they don't even know all of their characters are about to be destroyed physically and emotionally

the way aaron says it so fucking funny "is there gonna be a season 4?" "uh so i think it's really important to emphasize: yes-"

"i too want to cry" "just cry, just-" "IT'S A PANDEMIC. NO TEARS. THERE'S NO CRYING IN A PANDEMIC." "...where is this rule coming from?"

and finally there were a handful of moments that i could not do justice by transcribing in a post so here is a masterfully edited compilation i made

[labyrinthinehallow]

Sketch from last night after thinking about this post very long and hard. The artwork is beautiful and the point made is thought provoking I haven’t stopped thinking about it (please get me out of these trenches)

It’s not my best, but maybe I’ll turn it into something more eventually. I listened to maybe 3 different songs while drawing so I couldn’t tell you why BLU(e) is plastered on the freezer door anymore I’m sorry