#stokes theorem

[smath-or-pass]

Stokes' theorem

[lady-harrowhark]

Hey, so I was browsing your tlt meta tag (because I remembered your post about Ianthe being waxen, still love that btw) and I saw a post about you writing a thing called The Megatheorem. Is that still a thing in the works? Was it already posted somewhere? Am I causing you physical pain by asking about it and should not do that?

(I've also got ADHD and fully respect if it's Option Three there and you'd rather I never asked about it again. Sorry if that's the case.)

Ahahahaha yes, it's still in the works and no, you are not causing physical pain by asking about it, although I did actually laugh out loud when I saw this 😂 Anyone is free to continue prompting my about it as encouragement to work on it! (Also I'm still surprised at how that Ianthe post took off - I very genuinely almost didn't post it because it was just sort of a passing thought at first lol)

The Mega-Theorem hasn't been posted anywhere because it's not finished yet lol. I also have ADHD and I was massively hyperfixated on working on it for several months and The Hyperfixation Shine has worn off BUT it's definitely not abandoned by any means. I did post the current table of contents a while back as a sneak peek, which I can share again here!

Several sections are pulled pretty directly from posts that I've previously made, which are all in my tlt meta tag. As an aside, I'm glad someone else is finding my tagging system useful lmao. I love being able to go back and browse specific tags for art or meta or whatever and I get a kick out of knowing other people do too lol.

I do plan to post it once I feel like I've tied up the loose ends! It's definitely going to have to be split into multiple posts/sections, though, given that it currently sits at 12,849 words and 25 pages 💀 When will said loose ends be tied up? Excellent question! I would also love to know the answer to that one!

[fair-lead]

i understand green's theorem now, yayyyy

[bramstokes]

Perhaps if I log my daily study activity I will be a better student

[peeterjoot]

Area within closed boundary

[Click here for a PDF version of this post] Motivation. On vacation I was reading some more of [1]. It was mentioned in passing that the area contained within a closed parameterized curve is given by \begin{equation}\label{eqn:containedArea:20} A = \inv{2} \int_{t_0}^{t_1} \lr{x y’ – y x’} dt, \end{equation} where \( x = x(t), y = y(t), t \in [t_0, t_1] \). This has the look of a Stokes theorem…

[lipshits-continuous]

Found some discussion on it!

Why do we use the symbol for partial derivatives as the symbol for boundaries of manifolds?

[roosterforme]

Math for Aviators | Bradley Bradshaw x Reader

Summary: It's your fault that Bradley finds math so sexy now. When he surprises you by sneaking into one of your lectures, he gets rewarded with a little time alone with the professor after class.

Warnings: Fluff, swears and smut

Length: 2400 words

Pairing: Beer Boy and Sugar! Bradley "Rooster" Bradshaw x Female Reader (former fuckboy college student Bradley)

This is a one-shot to accompany my fics Old Habits Die Hard and Right Girl, Wrong Time! Check out my masterlist

"See you two at the Hard Deck later?" Nat asked as Bradley climbed into the Bronco after work.

"Nah, it's my wife's late night on campus," he replied with a smirk. Calling you his wife had such a nice ring to it, he had all but stopped using your first name around his friends. "I'm gonna drop by. Maybe take a peek at her calculus lecture." 

She rolled her eyes in response. "Tell your wife I said not to forget about brunch on Saturday."

"I'll let my wife know."

He zipped out of the parking lot, still in his khaki uniform, and headed across town to San Diego State University. If there was one thing Bradley never thought would get him going, it was math. But you made it outrageously sexy with your PhD and your slutty little math tattoo. 

The fact that Bradley never got to attend one of your lectures during your first semester teaching in California felt like a crime. He'd wanted to, in the worst way, but your classes ended by six o'clock every day last term. But this time, you taught level four calculus on Thursday evenings. 

He parked and headed toward your building, smiling as some of the college aged girls looked at him as he strolled past. If they thought he looked good in his uniform, that was nothing compared to the fuss you usually made over him. 

Bradley followed a kid holding a skateboard into the mathematics and computer science building and turned left. He was only four minutes late for your class as he followed skateboard kid inside the lecture hall and let the door close softly behind him. The room was quite cavernous, but there were only about forty students in attendance. You always claimed you preferred the smaller classes so you could spend more time getting everyone where they needed to be individually. 

When his eyes met your body, Bradley almost moaned. You were leaning over the long table at the front of the room taking attendance, and you were wearing a white blouse tucked into that wool skirt he liked. Even your loafers looked cute. One of his favorite pastimes was picking on you for your east coast wardrobe, but holy shit, the professor look did things to him. Or maybe it was just you.

As you called out names, Bradley realized he was just standing in the back like an idiot, so he walked up a few rows and took an aisle seat.

"Francis?" you asked, and a girl who looked extremely disinterested raised her hand. "Luca? Alex? Did I miss anyone?"

When you looked up, your eyes found Bradley's almost instantly. The softest smile graced your lips, and Bradley desperately wanted to run down to where you were standing and kiss you. Instead he just winked, and then you were opening two additional notebooks on your table. 

"Before we get started, just a reminder about my office hours," you said, your voice projecting beautifully. Bradley had to adjust himself in his seat, because you were speaking right to him. "I'm always available to spend a little extra time with you should you need it." 

He was well acquainted with your office and the way your voice echoed off the walls when he made you scream his name. He would make it a point to join you for some office hours again soon. But right now, he was going to sit back and enjoy how much smarter you were than him.

"If you recall last week, we talked about the theorems of Green and Stokes. Let's focus a little more on the Green theorem. This is simply the relationship between the macroscopic circulation around the curve C and the sum of all the microscopic circulation that is inside C."

Bradley was already breathing a little heavy. Holy shit. Was he actually married to the smartest person in the world? It fucking sounded like it. And then you ran your fingertips gently along the side of your neck, and he sat up a little taller in his seat. But so did skateboard kid who was sitting in front of him. Bradley glanced around the room, and it looked like all the twenty something guys were hypnotized by you. The looks of open adoration on their faces as you turned toward the white board to work out a problem reminded him of the way he used to stare at you when he was twenty one. If he was being honest, he probably still did.

As you worked out the problem and bent at the waist, Bradley needed to adjust himself again. And when you turned to see if anyone had a question, you looked directly at him as you touched your neck again. 

"She's so hot," skateboard kid whispered to the guy next to him.

"Yeah," he grunted in response. "She's like extra hot today."

Bradley leaned forward, grinning and softly said, "That's my wife."

They both turned around to look at him briefly. Skateboard kid nodded in appreciation, and the other guy said, "Well done."

And then Bradley settled back in his seat and watched every move that you made. When you wrote out another equation in your tidy handwriting, you made the variables spell out B-E-E-R-B-O-Y. Every time you glanced at him, your fingers were touching your body somewhere that he was familiar with. He was itching to get his hands on you. 

It was an hour and a half of pure sexual tension, and Bradley knew you were enjoying yourself. Knowing he was sitting in the lecture hall seemed to be making your voice a little breathy. You were throwing out terms like "gradient, divergence curl, line and surface integrals, and differential equations" that were making him hard. This was foreplay at its finest. 

When you ended your lecture with some reminders about your class schedule, you had your hands on your hips, and your diamond ring was glittering on your hand. Bradley smirked as a line of students, mostly male, formed in front of you once you dismissed everyone. And now he understood why you got home so late on Thursdays. Because all these guys had a crush on you. On his wife.

Bradley was semi hard, and you kept glancing up to make sure he was still there. He wasn't going to go anywhere, you must know that. When you were finally helping skateboard kid with whatever question he fabricated just to have a chance to stand next to you, Bradley glanced down at his lap. Maybe you'd let him have some private office hours right now.

When the lecture hall was finally empty, save for the two of you, Bradley watched as you continued to tease him. You didn't glance to where he was sitting at all as you packed up your bag. And when you erased the board, he could tell you were standing on your tiptoes to make your ass look extra enticing just for him. 

"Professor Sugar," he groaned, rubbing himself through his khaki pants. 

You glanced at him over your shoulder with a devilish look on your face. "Why didn't you tell me you were coming to my lecture?" you asked quietly, but he could still hear you perfectly. 

Bradley grunted. "Got dismissed a little early. Just thought I'd surprise you."

"Did you learn anything new?" you asked, grabbing your bag from the table and heading his way.

"Nothing new," he replied. "Just a refresher course on how smart and hot my wife is."

You smiled as you set your bag down next to his seat. "I love it when you call me that." Then you came to stand between his spread thighs and leaned down to kiss him gently. Bradley let you tease him with feather soft kisses for a minute before he was aching inside his pants. 

He ran his rough hand along your pretty neck and asked, "Can I join you for some office hours? I really need them, Professor Sugar." When you giggled against his lips, Bradley wrapped his muscular arms around you and palmed your ass, pulling you onto his lap with a squeal. 

"Beer Boy!"

"Please? I'll be your top student, Baby. Better than that loser with his skateboard."

"You know, I'm starting to suspect that Luca might have ulterior motives for taking my class again this semester."

Bradley chuckled as he pushed your skirt up your thighs a few inches. "Yeah. His ulterior motive is your ass." Then he lightly slapped said ass as you raked your fingers through his hair and straddled him in the auditorium seat. "I know you can feel me, Sugar," he whispered. "Office hours? Or are you gonna make me wait until we get home?"

But instead of responding, you just rubbed yourself against him. If you weren't wearing panties, he would have a pretty, little wet spot to show off as he walked back to the Bronco. You tugged harder on his hair so his head was tipped back, and you kissed him a little rougher.

"I'm in charge in the lecture hall, not you. And I say no visit to my office."

Bradley groaned as you sucked on his neck, and he muttered, "Making me walk back to the Bronco hard?"

"No," you whispered, and his cock throbbed. "I'm going to suck your cock right here." Your smug smile as you pulled away from his neck left him blushing, he could tell. 

"Right here?" he asked, but your hands were already working on his belt buckle and zipper, and he lifted his hips in the seat so you could yank his pants down a little bit. 

"Mmhmm," you hummed against his lips before you walked to the back of the auditorium, leaving him sitting there with his hard cock out. 

"Sugar?" he whispered, covering himself with both hands as he craned his neck to see where you went. You flipped the lightswitch next to the door and peered out the small window into the hallway, and then you strolled back to where he was sitting. Bradley let you take his hands in yours and set them on his thighs as you knelt on the floor in front of him.

You looked so pretty, your skin illuminated by the soft lighting shining around the perimeter of the room. Your eyes were bright and mischievous as you looked up at him and kissed the precum away from his tip. Your pink tongue darted out to clean your lips before gently swiping the underside of his cock, and Bradley had to grip his thighs to keep from thrusting. Because it was clear you were going to take your time right now. 

"You are so hard, Beer Boy, you're absolutely throbbing."

When you took an inch or two between your pouty lips, Bradley's head tipped back. "I love math," he groaned. "It really gets me going. And I love your smart mouth."

You hummed around his length as you took another inch and swirled your tongue. Then you pulled him out with a soft pop, his head snapping back up to look at you. "You're such a good student," you whispered. "Top grades. Teacher's pet. Big cock."

"Fuck," Bradley grunted. "I'm coming to your lecture every week, Professor."

You smiled as you gripped him in one hand and licked up and down along the underside of his cock until he could feel your saliva dripping down his balls. He ran his thumb along your cheek, and then you took him deep so he could feel himself there. He groaned your name as he tapped the back of your throat, and you gagged for him. It was so fucking pretty the way he made your eyes water. 

If you weren't concerned about getting caught, then he certainly wasn't going to bring it up. He'd be lying if he said the idea of a public blowjob wasn't adding to his arousal. Hell, he thought the way you and he went at it in the college library study room was hot, and that door had a damn lock. So this was next level.

Bradley grunted in the quiet room, and the acoustics made the sound carry. You were bobbing along his length, making obscene little noises, and he just couldn't take it anymore. His hands found the back of your head, and after one thrust, your moans echoed around the room. 

"I love that sound," he growled, slowly fucking your face as you sucked on him. You kept eye contact with him as he started to come undone, his hips leaving the seat as he wanted more of you. Now you were gripping his thighs, ready to take his cum like a champ. He was there. He was right there. One more tap against the back of your throat. All your saliva dripping onto your blouse. It was everything. 

He knew you already knew it, but he grunted, "I'm cumming," as he spurted into your mouth and down your throat. Gripping the back of your head, he fucked your mouth with shallow thrusts until he slumped back akwardly into the seat with a long groan that filled the room. 

When you withdrew him, his cock was messy and you were grinning as you stuck out your tongue, showing off his load. "Gorgeous," he whispered with a smirk, watching you swallow him down before licking his softening length clean. "I love being the teacher's pet." 

You giggled as you helped him get tucked back into his khakis. "I only suck the dicks of my students with the highest grades."

"Hey now. You're my wife. You better only be sucking my dick," he rasped as you stood up in front of him and shrugged.

"Then you better keep getting top grades, Beer Boy." 

Bradley was obsessed with you. He quickly wrestled his belt into place as he followed the sway of your ass up to the auditorium doors. "I can't wait to see that skirt on the bedroom floor when we get home," he said as you pushed the door open. And there stood the janitor, about to enter the room to clean it. "Shit," Bradley grunted, still fiddling with his belt. 

But you just waved and said, "Goodnight, Herman," as the janitor smirked at Bradley. 

He didn't even bother with his belt after that. He just took your hand in his and walked with you to the Bronco, thinking about all the things he wanted to do to you once your skirt was on the bedroom floor. 

----------------------

This was written to celebrate the birthday of the lovely @mak-32 ! Beer Boy and Sugar wouldn't even exist without you, Mak! I hope you have the most wonderful day! Thanks for your help and the banner @beyondthesefourwalls

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[machine-saint]

i love generalized stokes's theorem because it's just "yeah you can move this d from here to there and change it from curly to normal"

[ceausescue]

hobbes was right, when you deal with calculus you need stokes theorem

[transgenderer]

ive learned differential forms like five times now and i still hate them. theyre bad! theyre not good! theyre like...a computational tool. im glad physicists get their "stokes theorem" which is basically just like. a big definition, and some calculations. differential forms are barely math. theyre like...idk, statements about matrices. like, SURE. this is a useful tool. but the MATH is the linear transformations the matrices represent

[hollowtones]

Did you watch the last the devstream from DE?

If so, any thoughts?

Koumei looks pretty cool. "Apply a lot of statuses alert" is neat enough & will probably be pretty strong but it doesn't blow my mind, I guess. The dice roll stuff & the "do a riven challenge with a debuff to get a Duviri decree" had my eyes bugging out of my head with excitement! I like her weird haunted skeleton puppet look, I like the visible strings. Brella gun looks Fucking AWESOME.

Caliban rework looks hunky and I'm eager to sink my teeth into him. I already thought he was Fine to play, so making him stronger & giving him a more interesting / more synergistic kit has me happy. I wanna get more of / mess more with the theorem kitgun arcanes & see if buffing the summons is Anything now that they're better across the board. The Hildryn changes are exciting too!! Her 4th ability is Very Cute and I'll gladly take any excuse to not subsume it off.

All of that said: most exciting parts of the update to me are the changes to pets (Holy shit I've been wanting separate slots for Dog Damage forever... Holy shit I can try using more than just the Verglas) & the Nova rework / deluxe skin. I'm a sucker for the flower motifs, and the big back bow ephemera is so cute... I have like 3 or 4 different builds I want to try out on her now. Having speed & slow be on a toggle now is going to feel so much better in Duviri, & the forced orb drops has me excited to try out some wackier stuff. Her damn Ball might actually be better now... I always try to force that ball to work but you had to build basically entirely around it to justify it. The weird build synergies Nova had in the past were interesting on paper but felt kinda frustratingly limiting whenever I tried to build her. Which made me sad! Because I love the idea of her kit! Now it feels like I have more wiggle room to try shit out & slot in more Toys, which is exciting... I'm thinking about all her moves doing Blast & eyeing the orange archon shards. LOL

If the Nova changes are their idea of a "light rework" I'm super stoked to see what they do to Nyx (another frame I like the idea of but wish they would make some adjustments for) and Trinity (I already love her kit, simple as it is) in the winter.

I'm excited that it's coming out so soon after I get home from my vacation, haha. I feel like every time I've flown out to see my wife they've put on an event or held a really valuable Twitch drop campaign on days where I'd be stuck in transit. Digital Extremes is apologizing to me personally with Koumei. Now I just need Nintendo to apologize for all the "Splatoon 3" events happening on those same days...

[sith-shenanigans]

Oh! Wonderful news! Just after this is when I played All Things Must End and Amias started getting very normal about everything. By which I mean Tanah-Chook became one of their favorite places in the Neath. I am so stoked to finally tell y’all about that. Time for a new thread!

I will not be going through every bit of the Exceptional Story, because that’s not really in the spirit of things (though I don’t know if I’ll be able to restrain myself when we get to The Shallows). But I’m going to hit the high points, so: spoilers for All Things Must End below the cut.

At this point, Amias has reached the point where they need five-card lodgings in order to progress their ambition. So while this technically happened before they began working on the Theorem, I imagine it actually happened while they were taking a break from their research.

Of course, part of that meant acquiring a room at the Royal Bethlehem in the first place. They weren’t thrilled at the prospect of putting themself in an opponent’s power like that, but they just needed to be able to host somewhere that wasn’t their address in the Side-Streets—nothing says they have to live there.

But—oh? It seems that the Manager is having a bit of a problem. Assisting with it, or at least taking a step towards assisting with it, might do wonders to get him to lend a future opponent a suitable suite.

So begins the season of Ruins. Or possibly Ruin. The grammar is a little inconsistent.

Amias heads off, probably back to the University. And gets waylaid!

By moths! Or, well, by a moth-fancier.

Despite Amias preferring Subtle routes, they’re… not going to trick some poor kid out of his drawings of lepidoptera. That’s just kind of petty. It’s, like, thirty pence of candles. There is a point when they would have worried about thirty pence of candles, but they have left that point very far behind.

(And they remember it well enough that they do try to give back. Usually to the Soft-Hearted Widow. But no, it didn’t even occur to them to cheat this poor kid.)

This description is so mean. No, I do want to hear about the moths. Amias wants to hear about the moths. Amias is friends with the Cloistered Diatomist. They very willingly listened to him telling them about algae for hours. Why would they not want to hear about your moths?

But a mystery is more compelling. So off to zee we go!

[yokowan]

she stokes on my theorem till I uh uhm uhhh she uh she curl around my v uh my vector w when um uhhh no hold on give me a minute ive got this one uhh she conser my uhhh the way she fluxes my f uhhhm force

[oplishin]

🌻

i really like divergence theorem it brings me so much more peace than stokes' theorem. also i wish i understood vector fields better. surface integrals get a D- from me because i don't understand them in 3D space

[saintly67]

ok stokes theorem not that bad i guess. who care