Math-y people of fedi, how do I get more math into my life, as a person who dropped out of a PhD about 15 years ago and now works a software job she doesn't much care for? #math #maths #mathematics
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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.
Dernière création thème Maths : le nombre d'or en fil doré en forme de lettre Phi
un seul exemplaire actuellement
donnez moi votre avis, merci d'avance
#crochet #fiberarts #mathematics #maths #nombredor #phi
https://www.doomyflocrochet.com/fr/peluches-geek/peluche-nombre-d-or-phi-en-fil-dor%C3%A9/#cc-m-product-8241989162
Boutique crochet tricot e-commerce artisanat fait main Crochet et Geek DoomyflocrochetNombre d'or Phi peluche decorative au crochet et fil doréPeluche décoration inspirée du nombre d'or Phi Pour mathématiciens, étudiants, profs, chercheurs Fait-main avec du fil métallisé or En viscose et polyester Techniques: Crochet et couture, broderie Yeux plastiques jaune de sécurité Bouche brodée en fil coton noir Rembourrage ouate synthétique indéformable Taille : 11 cm de haut; 10cm de large niveau des anses Tient seul debout Poids : 30g Lavable main; ne jamais repasser Ne convient pas en dessous de 3 ans ( ce n'est pas un jouet)
**Descartes’ Mathematics**
“_In La Géométrie, Descartes details a groundbreaking program for geometrical problem-solving—what he refers to as a “geometrical calculus” (calcul géométrique)—that rests on a distinctive approach to the relationship between algebra and geometry._”
Domski, Mary, “Descartes’ Mathematics”, The Stanford Encyclopedia of Philosophy (Summer 2025 Edition), Edward N. Zalta & Uri Nodelman (eds.), forthcoming URL = <https://plato.stanford.edu/archives/sum2025/entries/descartes-mathematics/>.
Fortgeführter Thread
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).
Fortgeführter Thread
Here is an example taken from Solitons: an introduction by Drazin & Johnson, where taller wave overtakes a shorter one moving in the same direction.
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Fortgeführter Thread
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.
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Fortgeführter Thread
Also, waves of different heights travel at different velocities, with the taller waves moving faster than the shorter ones.
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In #FluidMechanics, things like #SurfaceWaves are often modelled using #LinearEquations, which give rise to phenomena such as the principle of #LinearSuperposition, where you can take two or more distinct solutions and simply add them together to get a new solution. Solutions are also periodic and can be decomposed into sinusoidal functions.
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Explaining the #TrumpTariff #Equation - YouTube
A #Mathematician explains how banal and simple the #algorithm is for putting the whole #WorldEconomy in turmoil.
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Moon phase calculator "Meton" @ https://www.thomasweibel.ch/meton, new physical model: Check. Next step: 3D print.
#Math #Maths #Mathematics I get maths students coming to me in their last year of high school not having learnt the main reason we use radians rather than degrees
Essentially, calculus.
E.g. the derivative of a trig function where the variable is in radians, is simpler/cleaner than in degrees, for example:
If x is in radians then
d/dx (sin x) = cos x
In degrees:
d/dx (sin x) = (pi/180) cos x
The extra factor of (pi/180) makes things messy.
Title: MathMod
️ What's: A libre math modelling tool that generates 3D and 4D surfaces from equations
️ https://sourceforge.net/projects/mathmod/
️ https://github.com/parisolab/mathmod
#LinuxGaming #ShareYourGames #Flagship #Mathematics 
️ #Libre #Arch #RPM
Our entry: https://lebottinlinux.vps.a-lec.org/LO.html
️Update: 12.1
Signific. vers. 
️
️Changes: https://github.com/parisolab/mathmod/releases
️From: 
️ https://github.com/parisolab/mathmod/releases.atom
(12.0)https://www.youtube.com/embed/bTnpSCe3ixE
️https://www.youtube.com/embed/EPH9ApRxK90️https://www.youtube.com/embed/7HOzNTH5pI0
️https://www.youtube.com/embed/It7iRHEba1o️https://www.youtube.com/embed/1-aU78QsUpw
Antwortete im Thread
ѦਹѤʞ @JacquesTimmermans
...Suddenly three became an infinity. Maths is often like this and I think it’s generally a hint that one is moving in the right direction.
#maths #mathematics
Antwortete im Thread
@JacquesTimmermans
I recall learning about the quaternions surprisingly early in life and becoming somewhat obsessed with them and other related algebras I managed to discover along the way all of which seemed to provide sensible finite numbers of solutions to various problems; then suddenly realising one day, some years later, that Hamilton had not only found three square roots of minus one but that *every point* on the unit imaginary sphere is a square root of minus one...
#maths #mathematics
"How do we know that a particular set of postulates, say those of elementary algebra, will never lead to a contradiction? The answer to this disposes once and for all of the hoary myth of absolute truth for the conclusions of pure mathematics. We do not know [...] that a particular set of postulates is self-consistent and that it will never lead to a contradiction." – Eric Temple Bell (1883-1960)
#quote #mathematics #math #maths
Two tilings of tangent circles for #TilingTuesday .
#MathArt #tiling #Mathematics
Yesterday was day 1 of the 3 day International Meeting of the STACK community.
It was inspiring to be around so many smart people working on improving #maths education. There was good coverage of the use of JSXGraph for creating questions with graphics that students can interact with . Recent developments in Large Language Models and #AI have made it much easier to create the #Javascript code required for #JSXGraph .
sites.google.comSTACK 2025 - ScheduleThe schedule is as follows. All in person participants will be provided with a site plan to help you find the rooms. All remote participants will be emailed a Zoom link. The workshops, discussions, talks and network meetings are all available for both in person and remote participants.
The icon 5️⃣
This morning I boosted (then rescinded) an image purporting to show how a circle is distorted on Mercator projections. In hindsight it should have been obvious, but it reminded me how easy it is for misinformation (or worse, disinformation) to spread, and how it gets a headstart on truth.
So, here I am trying to atone for my error by linking to a more accurate presentation of the distortion, and hopefully helping the truth catch up:
https://www.reddit.com/r/MapPorn/comments/1gv2er9/what_a_5000km_radius_around_paris_actually_looks/