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#appliedmathematics — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #appliedmathematics, aggregated by home.social.

  1. Researchers have developed a novel mathematical model that treats biological tissue as a fluid composed of elongated, aligned particles to explain how surrounding cellular forces influence the speed and shape of wound closure. The model demonstrates that the structural orientation of cells around a wound actively dictates healing dynamics.
    #TheoreticalPhysics #AppliedMathematics #Biomechanics #Mechanobiology #sflorg
    sflorg.com/2026/04/phy04272601

  2. Cut a Möbius strip down the middle. Expecting two pieces, you get one, longer, with twice as many twists. The more you try to separate knowing from making – theory from practice, template from floor – the more surface there is to walk.

    #anarchive #crafting #moebiusstrip #mathematics #appliedmathematics #reimaginingtechnology #patterns

    https://anarchive.fo.am/fn/ag/dissecting_a_moebius_strip/
  3. July 2024. A terrace in Istria. Tiles half-laid, some already fixed, a template that doesn't match the floor, an unanswered voice call from Brussels. 480 limestone pieces, CNC-cut from a shape proven mathematically a few months before. One constraint: no tile can be flipped.

    Three months, a long hot summer to find out if the pattern held.

    https://anarchive.fo.am/silver/spectres/

    #aperiodic #tiling #spectre #anarchive #aperiodicmonotile #mathematics #appliedmathematics #reimaginingtechnology #patterns
  4. Researchers at Rochester Institute of Technology developed a streamlined method for predicting #chaotic systems using tree-based machine learning algorithms instead of complex neural networks.
    #Physics #AppliedMathematics #DataScience #sflorg
    sflorg.com/2026/02/phy02112601

  5. “Becoming part of a mentoring scheme is also some of the advice I would give to my 18-year-old self too — to look out for networking opportunities and mentorship programmes; to find people who have chosen a similar path. ” - Christina Runkel

    ➡️ hermathsstory.eu/christina-run

    #AppliedMathematics #Postdoc #ComputerScience #MachineLearning #WomenInTech

  6. Today our team member Anna Breger tells her story - “Many little twists and turns have brought me to where I am now and I am absolutely thrilled about my interdisciplinary research project working on image analysis and historical music manuscripts.”

    ➡️ Find her full story at hermathsstory.eu/anna-breger/

    #AppliedMathematics #ImageAnalysis #Music #InterdisciplinaryResearch #NonTraditionalPathways #DataScience #HerMathsStory

  7. Look guys, in 1999 Bill Schelter released the DOE version of Macsyma he'd been solo maintaining for 20 years called Maxima, and in the 26 years since a small band of maintainers many of whom were contributors to the original thing at MIT have been maintaining and enhancing it. And Y'ALL just SLEEPING on this shit like it doesn't exist. How many of y'all even have it up in your computer? Install that shit and start doing math.

    #maxima #computeralgebra #appliedmathematics

  8. Interested in doing a #PhD in #engineering?

    Open Position:

    ➡️ euraxess.ec.europa.eu/jobs/371

    👩‍🎓

    #ControlTheory
    #AppliedMathematics
    #ElectricalEngineering

    The intention is to investigate the grid integration of renewable energy. In particular, the researcher will work on oscillation reduction in floating wind turbines and on the stabilization of power grids using virtual synchronous machines.

    #HorizonEU

  9. An Applied Mathematics degree is more than just numbers on a page—it’s a passport to solving real‑world problems with precision, creativity, and impact.
    Explore whether an applied mathematics degree is worth.
    #AppliedMathematics #MathCareers #STEMEducation
    scientificworldinfo.com/2025/0

  10. Una alternativa para detectar patrones en señales contaminadas con ruido y otras señales en la misma banda espectral que la deseada, es por medio de un cambio de base en la ventana móvil del espectrograma.

    doi.org/10.29057/icbi.v12iEspe

    #appliedmathematics #physics #signalprocessing

  11. Un interesante método para recuperar la información de archivos corruptos cuando se tiene una base de datos previa.

    mdpi.com/2079-3197/13/4/95

    #computerscience #imageeditor #appliedmathematics

  12. A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.

    #Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena

  13. A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.

    #Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena

  14. A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.

    #Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena

  15. A few days back, I posted some #AnimatedGifs of the exact solution for a large-amplitude undamped, unforced #Pendulum. I then thought to complete the study to include the case when it has been fed enough #energy to allow it just to undergo #FullRotations, rather than just #oscillations. Well, it turns out that it is “a bit more complicated than I first expected” but I finally managed it.

    #Mathematics #AppliedMathematics #SpecialFunctions #DynamicalSystems #NonlinearPhenomena

  16. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  17. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  18. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  19. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  20. Here we see three identical pendulums, oscillating independently. The red and purple ones are vibrating with small amplitudes and so their periods are nearly the same. But the blue one is undergoing what would be considered to be very large amplitude oscillations and has a significantly longer period. In fact, as the amplitude approaches π radians, the period increases without bound and approaches infinity.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  21. 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

  22. 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

  23. 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

  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. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  27. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  28. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  29. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  30. In elementary #mechanics we are taught about the #SimplePendulum, which is modelled as a point #mass hanging via a rigid #rod or #string of a given length, under uniform #gravity. This simple model is also useful in introducing #OrdinaryDifferentialEquations and helps us to understand #SimpleHarmonicMotion.

    #MyWork #CCBYSA #Mathematics #ClassicalMechanics #AppliedMathematics #Physics #Animation

  31. I cannot think of an applied mathematics that is more beautiful and far-reaching, or philosophically wilder, than probability. No, nonlinear dynamics and chaos people, it’s not even close 🤣

    #probability
    #mathematics
    #appliedmathematics
    #philosophy
    #philosophyofscience
    @[email protected]
    @[email protected]

  32. We’re having a #Soliton sale over here! Get yours quick! Seriously, though, this is a quick #animation of the #SolitonInteraction surface – the solution of the #Korteweg-deVries #Eauation showing (x,t,u(x,t)) giving you an all-round view.

    #MyWork #CCBYSA #AppliedMathematics #Mathematic #Phyiscs #KdV #KdVEquation #FreeSoftware #WxMaxima

  33. I posted on #Soliton interactions in the #Korteweg-deVries #Equation yesterday with an #Animation of how two #SolitaryWaves interact. The #PhaseShift experienced by both can also be seen in a static #3D plot with time, t, plotted on one axis. You should be able to see a “dog-leg” in the trajectory of each wave after it interacts with the other.

    #MyWork #CCBYSA #Mathematics #AppliedMathematics #Physics #FreeSoftware #WxMaxima

  34. A subtlety probably difficult to spot in the animation is that the interaction of the two waves leaves them phase shifted, with the taller wave gaining position, while the shorter one loses it. This further animation shows the interactions again (purple) but I’ve also shown what would happen if each wave moved without interaction with the other (red and blue).

    #Animation #Mathematics #AppliedMathematics #Physics #WxMaxima #FreeSoftware

  35. When you start looking at #NonlinearWaves, some of these principles no longer apply. For example, in the Korteweg-de Vries equation, which has #Soliton or solutions, you can no longer simply add two solutions together as the resulting function would not be a solution of the governing equation. Waves of different heights travel at different velocities, with the taller waves moving faster than the shorter ones. Instead, they interact #nonlinearly.

    3/4

    #Mathematics #AppliedMathematics #Physics

  36. “My PhD was all about understanding what happens to blood flow in collapsible blood vessels like the giraffe jugular vein. In my postdoc I was investigating how to optimise ventilator settings for patients in ICU and then how to deliver inhaled therapies into the lungs. Since then, my focus has been in trying to understand how diseases like Asthma and other respiratory diseases originate and then progress. This involves incorporating biology and physics into mathematical and computational models, using approaches from different areas of applied maths. More recently I have started to look into the mechanisms that could lead to a rare lung disease called lymphangioleiomyomatosis (LAM) and Long Covid.” - Bindi Brook

    ➡️ hermathsstory.eu/bindi-brook/

    #Academia #PhD #Professor #AppliedMathematics #MathematicalBiology #MathematicalMedicine #UnconsciousBias #WomenInMaths #WomenInSTEM #HerMathsStory

  37. “Since my goal was to solve a problem no one had ever solved before, it required a creative and flexible approach, one that emphasized the exploration, experimentation, and steady refinement of ideas. But perhaps the most important lesson I learned was that there is no single “correct” way to be a mathematician.” - Katy Micek

    ➡️ Find the full story at hermathsstory.eu/catherine-mic

    #PhD #WomenInMaths #WomenInSTEM #HerMathsStory #AppliedMathematics #DataScience #MachineLearning

  38. (Applied?) maths terminology question:

    In the context of signal analysis (doing things like Fourier transforms) you might have some variable (say, t) that you're treating as being equivalent to time and you're interested in some periodic function of t (say, sin(t)) with wavelength 2pi on the t scale.

    It's common to (informally?) use the term "phase" to refer to the value of t within the first cycle of the periodic function. In that usage: phase = t modulo 2pi

    By extension, I have seen people refer to location anywhere on t (not just the first cycle) as "phase", but this seems to me to be ambiguous, and not necessarily helpful, terminology.

    My question is: Given that the variable t is possibly something much more abstract and not necessarily "time", is there some accepted terminology for referring to the variable t in this context?

    (This is possibly a non-issue for pure mathematicians because they might never talk about phase and use only symbolic representations without using descriptive words. If so, I would be seeking terminology from some applied discipline where this kind of generic descriptive labelling is used.)

    In brief, if I wanted to say:
    phase = x modulo 2pi
    because I am talking about periodic functions of x, is there some generic descriptive term for variables like x (e.g. time-like)?

    #math #mathematics #AppliedMathematics #applied_mathematics #terminology #SignalAnalysis

  39. "The realization that mathematical concepts and theory could directly impact and improve real-world problems...fueled my passion for pursuing further research and applications that bridge theory with practice" - Anna Ma

    ➡️ hermathsstory.eu/anna-ma/

    #Academia #AppliedMathematics #WomenInMaths #WomenInSTEM #HerMathsStory

  40. “I love being able to apply mathematical thinking to problems perhaps not thought of as classical mathematical problems...I could not have predicted the path that I’ve been on, and certainly would never say that I had a plan all along. I am happy to do lots of different things, but it matters a lot to me who I spend my time with.” - Michelle Snider

    ➡️ hermathsstory.eu/michelle-snid

    #Industry #AppliedMathematics #DataScience #DataScientist #ResearchScientist #NonTraditionalPathways #Outreach