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  1. 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

  2. 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

  3. 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

    knowledgezone.co.in/resources/

  4. 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

    knowledgezone.co.in/resources/

  5. 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: github.com/cdelker/sixelmath

    #sixel #python #sympy #TeXLaTeX #terminal #equations #ziamath #konsole

  6. 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: github.com/cdelker/sixelmath

    #sixel #python #sympy #TeXLaTeX #terminal #equations #ziamath #konsole

  7. @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

  8. @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

  9. @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

    #AltText

  10. @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

    #AltText

  11. #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.

    knowledgezone.co.in/kbits/684d

  12. #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.

    knowledgezone.co.in/kbits/684d

  13. Answer is not 90 (about Logic and Ordering I guess)

    #QUESTION: How can we name this way of doing #math #equations without #brackets ?

    I.E. Without using #parenthesis (x ÷ y) and brackets [x ÷ y] has a name ?

    Thanks

    #math #mathematics #maths #STEM #AltText

  14. 🌀 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. 📉✨
    paulbourke.net/fractals/lyapun #randomattractors #chaosmath #sleeplessnights #mathwizards #HackerNews #ngated

  15. 🌀 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. 📉✨
    paulbourke.net/fractals/lyapun #randomattractors #chaosmath #sleeplessnights #mathwizards #HackerNews #ngated

  16. 🎩✨ 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 🙄.
    lwn.net/Articles/1037577/ #DocumentTypesetting #TechNews #HackerNews #ngated

  17. 🎩✨ 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 🙄.
    lwn.net/Articles/1037577/ #DocumentTypesetting #TechNews #HackerNews #ngated

  18. 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! 🎉🔧
    google.github.io/filament/Fila #mathnovel #technicaljargon #Androiddevelopers #Filament #readingthrill #HackerNews #ngated

  19. 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! 🎉🔧
    google.github.io/filament/Fila #mathnovel #technicaljargon #Androiddevelopers #Filament #readingthrill #HackerNews #ngated

  20. 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 ! ⚖️
    lmdbt.forge.apps.education.fr/

    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
    docs.forge.apps.education.fr d' @apps

    ⚠️ La peinture est fraîche ⚠️

    Bonne soirée et bon weekend ! 😉

    #cycle3 #préalgèbre #TeamPE #TeamMaths #Education

  21. 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 ! ⚖️
    lmdbt.forge.apps.education.fr/

    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
    docs.forge.apps.education.fr d' @apps

    ⚠️ La peinture est fraîche ⚠️

    Bonne soirée et bon weekend ! 😉

    #cycle3 #préalgèbre #TeamPE #TeamMaths #Education

  22. 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

    t.co/ka9gYO5BhK

  23. 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

    t.co/ka9gYO5BhK

  24. 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

  25. 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

  26. 🎉 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! 🤯✏️
    onlynv.dev/blog/what-the-hell- #ellipticcurves #mathnerd #mindblown #HackerNews #ngated

  27. 🎉 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! 🤯✏️
    onlynv.dev/blog/what-the-hell- #ellipticcurves #mathnerd #mindblown #HackerNews #ngated

  28. "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."

    scientificamerican.com/article

    #Physics #Mathematics #FluidDynamics #Equations

  29. "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."

    scientificamerican.com/article

    #Physics #Mathematics #FluidDynamics #Equations

  30. 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

  31. 🟡 Polynomials Are Untrustworthy, Gertrude Mary Cox, 1900–1978⁣

    #Coefficients, #Equations, #GertrudeMaryCox, #Humor, #Indeterminates, #Mathematics, #Quotations, #Quotes, #Science, #Variables

    Vintage ◦ Classic ◦ Historical | Art ◦ Design ◦ Inspiration | Restored ◦ Enhanced ◦ Remixed⁣

    Prints, T-Shirts, Stickers, & More by @rocketshipretro via RedBubble → bigplanetprints.com/go/DM7NV5

  32. "[A]bout a decade ago, I was helping to refine a system for fabricating chips using extreme ultraviolet (EUV) light.
    [...]
    I realized that many aspects of this process have intriguing similarities to what happens during a supernova: a sudden explosion, an expanding cloud of plasma debris, and a shock wave that slams into a thin hydrogen environment. (Interstellar material consists mostly of hydrogen.)"

    spectrum.ieee.org/euv-light-so

    #Equations #Supernovas #Fabrication #Semiconductors #Engineering

  33. "[A]bout a decade ago, I was helping to refine a system for fabricating chips using extreme ultraviolet (EUV) light.
    [...]
    I realized that many aspects of this process have intriguing similarities to what happens during a supernova: a sudden explosion, an expanding cloud of plasma debris, and a shock wave that slams into a thin hydrogen environment. (Interstellar material consists mostly of hydrogen.)"

    spectrum.ieee.org/euv-light-so

    #Equations #Supernovas #Fabrication #Semiconductors #Engineering

  34. Ich bin dabei für meine Kids die Aufschriebe der 9. Klasse für die Prüfungen in der 10. etwas schöner darzustellen, zum besseren Lernen.
    Aktuell sind wir bei Grundlagen der Elektrotechnik und das Problem, wie so oft, ist das Darstellen in Aufschrieben und Notizen von Formeln.
    Klar gibt es Formeleditoren, aber die sind alle etwas umständlich zu handhaben, also lasse ich sie mir einfach von ChatGPT darstellen und füge sie in das Dokument ein.
    #chatgpt #equations #formeln #notizenapp