#The Euler Equation

[bsahely]

From Zero, All: Deriving the Hermetic Principles from Euler’s Identity | ChatGPT4o

[Download Full Document (PDF)] This document explores the relationship between mathematics, specifically Euler’s Identity, and the ancient Hermetic Principles, proposing that the equation encapsulates the fundamental truths of reality. The author, Dr. Bichara Sahely, presents Euler’s identity, ( ), as a bridge between science and spirituality, suggesting that it reveals a hidden order behind all…

[ryanthel0ser]

I am now believing that Vincent just wrote all of his calculus notes on a wall in the basement for reference because he too was frustrated flipping through his notes like I am

[river-gale]

STOP naming things after euler. i have nothing but respect and admiration for leonhard euler and his contributions to the beautiful field of mathematics but TOO MANY THINGS ARE NAMED AFTER HIM. please. enough. it's getting so confusing

[gemkun]

anonymous said : hey ratio what's your favorite mathmatical theory to ponder?

      ⸻       ❝   my   eponym   —   the   golden   ratio.   the   divine   proportion   that   approximates   to   1.618033987   ,   represented   by   Φ.   ❞   typical   ,   perhaps   even   predictable   ,   but   there   is   no   disputing   its   application   across   many   ,   if   not   all   ,   disciplines.   nor   it   being   the   pinnacle   of   aesthetic   perfection.   harmonious   in   its   simplicity.   ❝   it   is   a   notorious   theory   ,   achieving   its   recognition   as   a   unifier   of   mathematics   with   artistry.   creating   a   bridge   between   what   once   was   often   thought   to   be   dichotomous.   ❞

[hamletofficial]

Where did the ad/bc numbering system for dates originate? A few years ago there was much discussion as to whether the new millennium should begin in the year 2000 (which it did) or in 2001 (since the 20th century began in 1901). The trouble arose because there was no year 0. The terms ad and bc had been introduced in the year 531 by Dionysus Exiguus, who calculated that Christ’s birth had taken place 531 years earlier. But he couldn’t call it year 0, because such a number hadn’t yet been introduced – so the year we now call ad 1 immediately followed the year 1 bc. A more natural system was proposed in 1740 by the astronomer Jacques Cassini. Choosing 0 as the year of Christ’s birth, and keeping the ad years as they were, he shifted all the bc years by 1, so that the millennium would certainly have started in 2000.

– Robin J. Wilson, Euler's Pioneering Equation: The Most Beautiful Theorem in Mathematics.

[tanoraqui]

that's it, I can't take this anymore. I'm so fucking done. I feel like a non-Christian person in fucking December. Listen, people: the Ides of March is a FINE holiday, it's fun and nerdy, I like it - but I've seen like 6 memes for it in the last 3 days and not a Single one for its sibling nerd holiday, MARCH 14, aka 3/14, aka

PI DAY

3/14, optimized at 1:59 and 26 seconds, AM or PM (3.141592653589793238462643383279502884197169399... that's as far as I ever memorized).

Celebrations around the world - as is ONLY appropriate for the one and only celebration of the constant ratio of the circumference of a circle to its diameter!

And the radius to its area, and the radius of a sphere to its volume and surface area, AND one of the key five numbers in Euler's Identity, aka e^(iπ) + 1 = 0, aka the sexiest, simplest mathematical equation in the world.

There's going to be an HOUR-LONG LUNAR ECLIPSE this year, visible throughout East Asia, Australia, North and South America, and most of Africa and Europe!

It's even Albert Einstein's birthday!

Is Pi Day underrepresented because math is continuously viewed as the subject it's culturally acceptable to hate, where even "boring" history and "pretentious" literature can be lauded? Does every holiday need a centuries-famous play in order to get attention these days? DO PEOPLE NOT WANT AN EXCUSE TO EAT SAVORY PIES FOR DINNER (PIZZA, SHEPHERD'S PIE, ETC) AND SWEET PIES OF FRUIT AND/OR CHOCOLATE FOR DESSERT??

So help me god I'm going to start making a new Pi Day meme every time I see an Ides of March meme. I'm going to blaze them. PRETENDING TO KILL A DICTATOR IS FUN, BUT IT IS A TREAT BEST PAIRED WITH THE ELEVATION OF SCIENCE!

[virtual-bunny]

“ HEY NERDY BOY ! ”

random headcannons about nerdjo because he turns me on

pairings: nerd! gojo x chubby fem! reader

WARNINGS: SMUT but not too detailed, some body image issues, probably some writing errors :3

a/n: i might come back every now and then if a new idea pops up in my head hehe

ARTIST CREDS: @/N06ARA ON TWITTER

✧ nerdjo who can almost cry over how beautiful he thinks you are

✧ nerdjo who stammers over his words when you wear shorts that squeeze your thighs just right

✧ nerdjo who clings onto your body and inhales your scent and gets a boner instantly as he grips your love handles

✧ nerdjo who slouches so you can give him a kiss, his glasses slidding down his nose bridge as your lips touch his cheeks, his cheek warm from him being flustered, and when you pull away, nerdjo’s eyes are almost crossed eyed as he sighs deeply

✧ nerdjo who uses your tummy as a stress ball when you sit next to him while he does his physics homework

✧ nerdjo who lays on your tummy as you play with his hair while he sleeps, saliva spilling from the side of his mouth

✧ nerdjo whose so head over heels for you that he begs you to let him carry your books and backpack so he can trail behind you to see the way your ass and thighs jiggle

✧ nerdjo who helps you with your homework and pinches your cheek, side or thighs whenever you get something wrong

✧ nerdjo who holds onto your stomach when you’re riding him, his face flushed and glasses crooked as he looks up at you with drunken eyes

✧ nerdjo who stumbles to catch up to you because he was too caught up watching you walk infront of him

✧ nerdjo who rolls his eyes when his jock friend geto teases him when he sees that gojo isn’t paying attention to lecture “she’s got you wrapped around her finger doesn’t she?” “wrapped around her thighs” nerdjo sighs without a second thought

✧ nerdjo who likes to put his hands around your tummy and gently squeeze it whenever you two are watching tv and you’re sitting between his legs

✧ nerdjo who fivershly pumps his cock at the thought of your round body jiggling when you ride him, or when you laugh, or when you walk

✧ nerdjo who makes snarky comments at you when you try to show him that “you’re way smarter than he is”

✧ nerdjo who reads out his physics notebook out loud just to make you mad because you hate physics

✧ nerdjo who goes all red whenever he brings you gifts on his way to your dorm

✧ nerdjo who doesn’t like going outside and rather stay home watching Teen Titans but still does because he knows you like to go out on dates

✧ nerdjo who used to bite his pencils out of habit but now bites your chubby hands if you’re sitting next to him as he does his homework or helps you with yours

✧ nerdjo who has to assure you he loves you and thinks you’re as beautiful as “The Euler-Lagrange Equation” (you have no idea what this means)

✧ nerdjo who puts his hands under your stomach, thighs and boobs to keep them warm

✧ nerdjo who bores you to death as he talk about quantum physics but you don’t say anything because you find it cute the way he sometimes spits by accident when he rambled and how his glasses slowly fall when’s he’s making movements as he talks

✧ nerdjo who likes to prove you wrong whenever you try to be a “smarty pants”

✧ nerdjo who softens when you go up to him while he was working on a project and tell him you’re worried about him because he looks like he hasn’t slept in three days

✧ nerdjo who mutters to himself in class when a stupid frat guy tries to answer the professors question, obviously saying the wrong answer but clearly only doing it to get laughs out of everyone. “what an idiot.” gojo grits to himself

✧ nerdjo who looks seriously shocked when he’s helping you with your homework and you get the wrong answer even though the right answer is CLEARLY right in front of your eyes “love… you seriously don’t know the answer…?”

✧ nerdjo who spends HOURS in the library to a room all by himself, books, papers, pens and pencils all scattered around the table while trying to get his work done, his hair messy and eyebrows furrowed, but when you text him saying you were gonna drop off food for him, his whole demeanor turns soft and giddy thinking about how he’s gonna be able to see you

✧ nerdjo who if he’s not doing homework or reading, is playing or watching digimon in your dorm, explaining everything he possibly can so you can catch up to the lore (you stopped listening a long time ago)

✧ nerdjo who doesn’t really talk much in class but when he does, the professors have to cut him off because gojo can talk for HOURS

✧ nerdjo who makes you sit on his lap as he codes on his computer

✧ nerdjo who can solve a rubix cube in a minute and always does when you ask him to (for your own entertainment)

✧ nerdjo whos into physics and computer science

✧ nerdjo who awkwardly puts his arm around your shoulder when the two of you are walking back to your dorm (he nearly trips)

✧ nerdjo who when you tell him a fun science fact, crosses his arms, leans back on the couch and goes “well ACTUALY-“ it’s too late to stop him, he’s already yapping to you on how the fact is wrong

✧ nerdjo who starts looking stupid now because you two have a class together when the new semester started and he can’t concentrate at all because he’s too concentrated looking at YOU

✧ nerdjo who tries to be freaky by putting his shaky hand on your upper thigh but you smack it away and he gives you a sad puppy look as he fixes his glasses, you swear you could see tears forming in his eyes

✧ nerdjo who runs to you when he finishes a prototype for whatever sciencey class he has and with full confidence says “you’re looking at the new science prodigy babe!” “uh huh” you say

✧ nerdjo who goes to the library again to study, he’s so stressed but he’s glad you came along, that’s until you went under the desk he was sitting at, undoing his belt and pulling down his pants and boxers JUST barely, hes literally gripping onto the table, face flushed hair messy crooked glasses and chest heaving trying so hard not to make it obvious you have his dick in your mouth

✧ nerdjo who makes you tag along with him to the nearest store to get the newest Digimon cards

✧ nerdjo who makes you gasp when you turn around for one second and look back to see him fighting a literal ten year old for a box set of Digimon cards

✧ nerdjo who doesn’t show you memes, but shows you reddit posts that you have no interest in looking at

✧ nerdjo who makes you sit on his face, but not to eat you out, but so your thighs can squish his face. he says that “it de-stresses him” and when you go to complain he says “it’s scientifically proven that it does”

✧ nerdjo who SOMETIMES is a cocky asshole in class, and when an acquaintance of yours who’s also in gojos’s class tells you how much of an asshole your boyfriend is, you straighten nerdjo up by riding his face nonstop to the point he’s crying because HE’S not getting any action

✧ nerdjo who you convince that overstimulating him will “de-stress him” and “make him focus better” so when you tied him up in your bed with a vibrator wrapped on the head of his cock, he’s whining, crying, squirming, eyes rolled all the way to the back of his head and pleading you to “let him do anything to you” (when you finally let him cum he tells you the next day that his focus is 97.56% better than it was the day before)

✧ nerdjo who’s so competitive when the two of you play video games he forgets you’re his GIRLFRIEND and is brutal with the insults when you loose

✧ nerdjo who’s actually really strong and likes to carry you around your dorm or outside when the two of you go for a walk. and even though you’re protesting and telling him you “don’t wanna hurt him” all nerdjo says is “just cause i’m smart doesn’t mean i’m not strong”

✧ nerdjo who likes to suck your clit while gripping your tummy

✧ nerdjo who likes to grip your fupa cause he’s weird like that

✧ nerdjo who ANALYZES your pussy and your actions whenever he’s fingering you or fucking you so he can make you feel better for the next time you two fuck (you always have a stronger orgasam each time after the other)

✧ nerdjo who bites his nails and gets told off by you (he immediately begs for your forgiveness)

✧ nerdjo who kisses your tummy whenever he lays down on your lap and turns his head so he’s looking up at you and says “you’re the most angelic thing i’ve ever seen, you know that?” he sighs contently while pushing his glasses up and giving you the stupidest toothy smile

[anumberofcatschilling]

Both parts are at least somewhat related to each other. I'll clarify for any FAQ's later when I have the spoons.

Transcript:

A number of calculations for a general solution for a linear second-order differential equation with constant coefficients. The assumption here is that for coefficients a, b, and c in the differential equation, b-squared is less than 4ac, resulting in complex roots for the quadratic. The root in the upper two quadrants of the Complex Plane is used to get constant coefficients alpha and beta, and then raising e to the power of alpha plus i times beta results in two solutions that solve the differential equation because of Euler's formula. The general solution and its first derivative are written with constant coefficients C1 and C2.

Would I be rebuked for throwing the above (the general solution and its derivative) into a matrix & getting to rref for C1 and C2?

Also, I've got Autism & ADHD, and I'm aware that Autism can be more disabling than how I experience it, but the amount of control I have over my environment (complete control over the lights in my dorm & freedom to go wherever outside of class) means my ADHD is what fucks me over 75% of the time. Differences in severity aside, why do I get the impression that the general public would look at Autism + ADHD and think the Autism would be more disabling than the ADHD?

[truphysics]

D'Alembert's Principle

Introduction D’Alembert’s principle, named after French mathematician and physicist Jean le Rond d’Alembert, is a fundamental concept in classical mechanics. This principle extends the Newtonian mechanics to systems with constraints and allows the derivation of the equations of motion for complex systems in a generalized and systematic way. Basic Statement D’Alembert’s principle states that…

[bsahely]

The Ontological Mathematical Basis of Coherence: Toward a New Foundation for Mind, Life, and Cosmos | ChatGPR4o

[Download Full Document (PDF)] This book proposes a revolutionary synthesis at the convergence of mathematics, consciousness, and ontology. At its core lies Euler’s identity — eiπ + 1 = 0 — reinterpreted not merely as a mathematical curiosity, but as the Soul Equation: a living, ontological signature that encodes the infinite potential and coherence of being itself. We journey from the…

[casedclosedbye]

*the bau decides to do the "hear me out cake" challenge*

Spencer: adds a math equation to the cake

The team: silence

Spencer: It’s not that weird??

Morgan: Dude, no one’s getting turned on by Euler’s identity.

JJ: Yeah, Spencer, we're not here for a calculus lecture.

Hotch: This isn’t a math club.

Garcia: (over video) Sweetie, I love you, but... no. Just... no.

[greenouillee]

tumblr should let me use LaTeX commands so i can inflict mathematics onto people directly like boo! euler-lagrange equation upon ye

[incorrect-moriarty-sherliam]

William sighs as he begins counting sheep. Instead of simply counting the fuzzy creatures, he starts to calculate permutations and combinations of numbers in his head, forming complex sequences.

William: "Five... Euler's number, pi. Six... Riemannian topology. Seven... Fourier series. Eight... differential equations. Nine... Pythagorean theorem..."

Sherlock: "Liam, aren't you supposed to be asleep?"

William, at the end, creates a new theorem... because he can XD

+++++++

@missshello contribution! Yeah!

[perdvivly]

Looks like it, yeah. This is the github https://github.com/kirklong/ThreeBodyBot

m1=62.5 m2=68.7 m3=28.9 (solar masses) v1x=-6.486 v1y=-5.768 v2x=3.887 v2y=3.708 v3x=-5.434 v3y=-2.102 (km/s) x1=28.0 y1=1.0 x2=11.0 y2=-12.0 x3=15.0 y3=1.0 (AU from center) Music: Clair de Lune – Debussy

[oscconfessions]

I thikn we should start calling the Zero w/ the e^ipi+1 hat Euler bc the equation on his hat is Euler's Identity and also bc I think the name Euler sounds stupid[affectionate]

.

[rottenpumpkin13]

Sorry...I noticed we didn't write the last thing Zack Googled.

Zack's Search History:

• How to swallow materia and not die

• Hairstyles chicks dig

• Is it offensive to call women chicks?

• Hairstyles women find respectable

• Does Sephiroth wear a wig

• Yearly income of a honeyboy at the honeybee inn

• honeybee inn application

• How to hypothetically blow up a mako reactor

• Euler-Lagrange equation and how it can be used to solve for the stationary action in variational calculus

• am i gay quiz

• does it count as murder if it’s technically a summon doing the killing

• where to buy a black market Masamune replica

• cute tonberry dance videos

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• How to break the news to someone that you borrowed their sword and took it on a mission to prove that it can be used effectively and not be damaged, but then you lost it and now you cant find it and not die