🤡 Oh, look! Quanta Magazine is throwing a party where #biology pretends it's a quantum physicist by wearing math as a costume. 🎩 Who knew #equations could be such effective impostors? 💁♂️
https://www.quantamagazine.org/biology-might-not-be-quantum-but-its-math-is-quantumlike-20260923/ #quantumphysics #mathparty #HackerNews #ngated
#equations — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #equations, aggregated by home.social.
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The Shadows Lurking in the Equations – Underwater Islands
https://gods.art/articles/equation_shadows
Comments: https://news.ycombinator.com/item?id=49721507
#HackerNews #Shadows #Lurking #Equations #Underwater #Islands #MathArt
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Finite time blowup for an averaged three-dimensional Navier-Stokes equation
Comments: https://news.ycombinator.com/item?id=49580329
#HackerNews #finite-time-blowup #Navier-Stokes #equations #mathematics #research #fluid-dynamics
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Niels Abel was born 224 years ago, on August 5, 1802. At just 21, he proved that no general algebraic formula can solve equations of degree 5, a problem that had challenged mathematicians for roughly 250 years.
Short on money, Abel paid the printer himself and condensed his proof into just six pages to keep costs down. He sent a copy to Gauss, but never received a response.
Abel died of tuberculosis at just 26. Two days later, a letter arrived announcing that he had been appointed professor in Berlin.
A breakthrough recognized too late.
#NielsAbel #Mathematics #MathHistory #HistoryOfMathematics #Mathematician #Algebra #AbstractAlgebra #QuinticEquation #Quintic #GaloisTheory #MathematicalHistory #MathFacts #ScienceHistory #STEMHistory #STEM #MathematicalBreakthrough #MathematicalGenius #Norway #NorwegianHistory #CarlFriedrichGauss #Equations #NumberTheory #PureMathematics #MathEducation #ScienceCommunication #OnThisDay #August5 #History #MathematicsLovers #MathTwitter
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L'Usine Nouvelle: #Quantique : la #deeptech #Pasqal démontre expérimentalement la supériorité des #qubits #logiques pour résoudre des #équations #différentielles
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Stop Emitting High #GWP #Methane And It Will Stop Heating World : Medium
#China is waging #War on #Alzheimer’s. What can its approach teach the rest of the #World? : Nature
Long-Sought #Proof Tames Some of #Math’s #Unruliest #Equations : Quanta Mag
Latest #KnowledgeLinks
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I made a little extension to my Python-based LaTeX math renderer so it can be used to draw equations and Sympy expressions directly in the terminal as sixel graphics. Install with `pip install sixelmath` and give it a try! (in a sixel-supported terminal, of course).
Source: https://github.com/cdelker/sixelmath
#sixel #python #sympy #TeXLaTeX #terminal #equations #ziamath #konsole
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@markhburton
Many think #banks are #neutral (for it's #speculation? investment into #war? #paying for what #profits most devastating in a short time?) and it isn't #moral actually passing through those hands full of #bad actors (#immoral #investments) and growing what #fucks people best and #sucks most out of them.#Banks = #Negative #Equations #Maths / #Immoral #Math #People #Extraction
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@markhburton I feel like we could all talk about #money and #banks more often ?
Banks are not neutral and money is root of all #evil / pays for it / enables others to take the good money (all money passing through #rich people's hands) and use it for very #unhelpful things in life...
Banks = #Negative #Equations #Maths / #Immoral #Math
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#Croissant #Equations, explained : Medium
#Aerial #Aliens: Why cloudy #Worlds might make detecting #Life easier : Big Think
Latest #KnowledgeLinks
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#Galois #Theory, developed by Évariste Galois, is a branch of abstract #Algebra linking #Field theory (studying number systems) and #Group theory (studying symmetries) to understand #Polynomial #Equations.
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En ce #dimanche, #electro-robot vous propose un petit #exercice de #réflexion portanr sur la #loi des #mailles et la #loi d’#Ohm 😉 : le #diviseur de #tension à base de deux #résistances #électriques. Alors on commence les #équations #ensemble : https://electro-robot.com/les-activites/loi-des-mailles-le-diviseur-de-tension
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🌀 Ah, the exhilarating chaos of *random attractors* explained with #equations that'll surely solve your sleep problems! 😴 Watch in awe as math wizards attempt to enchant mere mortals with their scribbles, proving once again that chaos looks just as confusing on screen as it does in their minds. 📉✨
https://paulbourke.net/fractals/lyapunov/ #randomattractors #chaosmath #sleeplessnights #mathwizards #HackerNews #ngated -
🎩✨ Watch out, #LaTeX. Here comes #Typst, the new kid in town, claiming to be the answer to all your document-typesetting woes. Because, you know, the world desperately needed another way to make #equations look pretty 🙄.
https://lwn.net/Articles/1037577/ #DocumentTypesetting #TechNews #HackerNews #ngated -
The Most Important Machine Learning Equations: A Comprehensive Guide
https://chizkidd.github.io//2025/05/30/machine-learning-key-math-eqns/
#HackerNews #MachineLearning #Math #Equations #AIGuide #DataScience #Education
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Ah, yet another thrilling novel on the joys of rendering #equations 📚🤓—because who doesn't want more math in their lives? It's like the authors have discovered that Android developers have too much free time on their hands and decided to remedy that with an avalanche of technical jargon. Thanks, Filament! 🎉🔧
https://google.github.io/filament/Filament.md.html#overview #mathnovel #technicaljargon #Androiddevelopers #Filament #readingthrill #HackerNews #ngated -
Bonjour à tous ! 👋
Je partage une petite #application interactive sans prétention autour de la résolution d'#équations simples au regard de l'arrivée du pré-algèbre dans les nouveaux #programmes du #cycle3. 📖👀
🍎 Trouve sa valeur ! ⚖️
https://lmdbt.forge.apps.education.fr/trouve-sa-valeur/Elle permet aux élèves de manipuler une balance avec des fruits (emojis 🍌🍇🥕…) représentant l'inconnue.
Ils peuvent enlever ou diviser chaque côté de la balance pour garder l'équilibre et trouver la bonne valeur 🎯Disponible sur #LaForgeEdu
https://docs.forge.apps.education.fr d' @apps⚠️ La peinture est fraîche ⚠️
Bonne soirée et bon weekend ! 😉
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Une #équation #polynômiale d’ #algèbre , de degré >= 5 , vieille de 3 700 ans percée à jour grâce aux #Nombres de #Catalan.
Un #chercheur #australien #révolutionne les méthodes de #résolution d’ #équations #polynomiales : La théorie d'Évariste #Galois en échec..
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Apparently in 2015 I knew what this meant. I now have not the faintest idea what the hell is going on. Maybe you do.
#teaching #slack #equations -
The above is only strictly true for “small” amplitudes. If the #pendulum is subject to large amplitudes, it is no longer governed by the simple linear differential equations alluded to above. Given that the rod remains rigid and no energy is dissipated, the pendulum #equations may still be solved exactly, though they are now #nonlinear.
#MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation
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A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode
https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966#d1e523
#HackerNews #HyperCatalan #Series #Polynomial #Equations #Geode #Mathematics #Research
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🎉 Wow, you've discovered elliptic curves, those magical squiggles that make #cryptography nerds squeal with delight! 🤓⚡ Prepare to have your mind blown as you attempt to decipher #equations that look like a toddler's doodle masquerading as serious math! 🤯✏️
https://onlynv.dev/blog/what-the-hell-is-an-elliptic-curve #ellipticcurves #mathnerd #mindblown #HackerNews #ngated -
"In the paper, the researchers suggest they have figured out how to unify three physical theories that explain the motion of fluids. [...] This breakthrough won’t change the theories themselves, but it mathematically justifies them and strengthens our confidence that the equations work in the way we think they do."
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A cycloidal pendulum - one suspended from the cusp of an inverted cycloid - is isochronous, meaning its period is constant regardless of the amplitude of the swing. Please find the proof using energy methods: Lagrange's equations (in the images attached to the reply).
Background:
The standard pendulum period of \(2\pi\sqrt{L/g}\) or frequency \(\sqrt{g/L}\) holds only for small oscillations. The frequency becomes smaller as the amplitude grows. If you want to build a pendulum whose frequency is independent of the amplitude, you should hang it from the cusp of a cycloid of a certain size, as shown in the gif. As the string wraps partially around the cycloid, the effect decreases the length of the string in the air, increasing the frequency back up to a constant value.In more detail:
A cycloid is the path taken by a point on the rim of a rolling wheel. The upside-down cycloid in the gif can be parameterized by \((x, y)=R(\theta-\sin\theta, -1+\cos\theta)\), where \(\theta=0\) corresponds to the cusp. Consider a pendulum of length \(L=4R\) hanging from the cusp, and let \(\alpha\) be the angle the string makes with the vertical, as shown (in the proof).#Pendulum #Cycloid #Period #Frequency #SHM #TimePeriod #CycloidalPendulum #Lagrange #Cusp #Energy #KineticEnergy #PotentialEnergy #Lagrangian #Length #Math #Maths #Physics #Mechanics #ClassicalMechanics #Amplitude #CircularFrequency #Motion #Vibration #HarmonicMotion #Parameter #ParemeterizedEquation #GoverningEquations #Equation #Equations #DifferentialEquations #Calculus
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🟡 Polynomials Are Untrustworthy, Gertrude Mary Cox, 1900–1978
#Coefficients, #Equations, #GertrudeMaryCox, #Humor, #Indeterminates, #Mathematics, #Quotations, #Quotes, #Science, #Variables
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