#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)

[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.”

[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.”

[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~

[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

[moliathh]

the scorpion and the frog

[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-

[weirdozjunkary]

As someone with ADHD and struggles with their own attention deficiency at times, the absolute brainrot of online children’s media (YouTube, Tiktok, etc) and the attention deficit of youth’s today genuinely scares me.

[worstloki]

there is a difference between being born to a throne, maliciously vying for a throne, stealing a throne, and having a throne thrust upon you when you are already in the midst of an identity crisis. And I fear Loki's place in the line of succession has people unable to differentiate between any of these

[canisalbus]

I'm Italian and a new follower, ever since I saw the region where Machete is from I can't stop calling him Carmelo in my head since it's a pretty common name there and Vasco speaks with a Tuscan accent in my head now( I love how they pronounce the letter C even if people sometimes makes fun of them for that)

It's always really fun hearing about any Italians that like my work and characters, because you guys obviously have the insider knowledge I (a Finnish person) am not privy to. If you say Machete looks like a Carmelo I have hard time doing anything but nodding and going "ah yes, sounds legit, you probably know your Carmelos better than I do".

[allthegothihopgirls]

as much as he wasn't around often for jason's robin era, dick's still the only one that jason thinks really gets what he's been through. part of it's an understanding that they both felt and went through very similar things. i think jason grows to be comforted by the way dick always just seems to *know* when it comes to him.

although i think in the past jason was annoyed and felt belittled at the way dick seemed to know him better than he did himself, without even knowing him on a very personal level. but i think jason would learn to understand that dick's 'all-knowing' doesn't come from being the smartass, better version of him. it comes from the way he relates to him, both trauma-wise and experiences-wise.

of course, i think noticing the lack of individuality even in his flaws would bother jason, especially when it just serves to add another layer of unoriginality to his robin. he feels compared to dick enough, so learning they were meant to be pretty much carbon copies of each other is pretty rough for him, and makes breaking out of dick's shadow borderline impossible

although i think the bonding point that would have won jason over is how bruce always tried to raise them by relating his trauma to theirs. i think jason has a revelation when dick brings this method of bruce's parenting up for the first time, and the fact that it did not work at all. that's also when jason realises that although he's never truly related to bruce when he's tried to level with him about that stuff, him and dick are practically the same people, and it's hard not to get him.

[normalbrothershow]

ignoring lucifers "and i lost my virginity to her" abt kelly kline cause sera gamble and jeremy carver did not put 5009683 sam/lucifer rape implications into s6-11 so that Mr Hard-On For Alpha Military Males can undo them

[milkbreadtoast]

"I quit my job and became the Princess Bride"✨ Have you read this romance novel? 😇