Problem for March 14th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

I've been making plots of the sets of roots of some polynomials. They look more interesting than I'd expected! And I've been making sounds from them, too. I have a bunch on this page of my website (I'll probably be adding more). Click on the images to embiggen them, and if you're in a hurry, the last sound on the page is the most catchy. https://www.madandmoonly.com/doctormatt/sound/littlewoodPolynomials/

#mathematics #math #maths #polynomials #sonification #illustration #sound

#algorithms #maths

ALT

Problem for March 13th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Parution du volume 4 de mes "Éléments de mathématiques pour le XXIe siècle" (analyse combinatoire, théorie des graphes, théorie des nombres, algèbre linéaire, topologie, théorie des groupes et des anneaux).
Détails et extraits : https://paysmaths.net
Lien Amazon : https://www.amazon.fr/dp/2956966642

#mathématiques #maths #math

ALT

ALT

Découvrez les fondements des mathématiques (logique formelle, arithmétique de Peano, théorie des ensembles, théorie des nombres, théorie des modèles, théorie de la calculabilité, théorie des catégories et des topos, structures algébriques...), dans les trois premiers volumes des "Éléments de mathématiques pour le XXIe siècle".
Détails et extraits : https://paysmaths.net
#mathématiques #maths #math #axiomes #logique #ensembles #catégories

"The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events." – Gian-Carlo Rota (1932–1999)
#quote #mathematics #maths #math

ALT

Problem for March 12th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

#decompwlj #math #mathematics #maths #sequence #OEIS #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research #PARIGP

ALT

Problem for March 11th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Problem for March 10th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

trying out homotopy methods (construct an ordinary differential equation to interpolate from root at iteration k to two roots at iteration k+1) to solve f_c^n(0) = z for z non-zero; where f_c(w) = w^2+c and f^n denotes n-fold composition. a paper I found describes it for z zero, wasn't too much algebra work to adapt to my use case.

image shows paths between roots to iteration 12 or so, for z = i.

hoping eventually to use it to accelerate zooming into nebulabrot aka buddhabrot, nothing to show for that yet though. not finished debugging the root finder yet.

the idea is to find little balls around the roots that when iterated will hit the viewing area around z (ideally ball contains some boundary of mandelbrot set => some parts of the ball are near (pre)periodic points and will hit the viewing area many times).

will use derivatives to work out how big each ball should be, and distance estimate to check if ball contains boundary.

the tough part is that balls may overlap.

this approach is deterministic. afaik most buddhabrot zoomers use stochastic methods like metropolis-hastings.

reference:
https://ir.lib.uwo.ca/etd/4028/ https://uwo.scholaris.ca/server/api/core/bitstreams/2cf58b26-c757-48e1-833c-bda6c70a1e18/content
"A comparison of solution methods for Mandelbrot-like polynomials"
Eunice Y. S. Chan, MSc thesis, The University of Western Ontario

#maths #homotopy #RootFinding #fractals

ALT

Comment faire passer le concours de la Course Aux Nombres sur #Capytale avec #MathAléa ? 🏃‍♀️🏃‍♂️

C'est facile et sans copies à corriger ! 👇 https://codimd.apps.education.fr/s/oA81nihuu
▪️Protocole simplifié
▪️Protocole détaillé

Venez faire la Course Avec Nous 🎉

#CAN
#SDM2026
#automatismes #maths
#LaForgeEdu #CommunsNumeriques

Problem for March 9th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Problem for March 8th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

#decompwlj #math #mathematics #maths #sequence #OEIS #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research #PARIGP

ALT

Problem for March 7th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

🗓 Course Aux Nombres
La première épreuve de #CAN démarre bientôt, pour une passation entre le 9 et le 27 mars !🏃‍♀️🏃‍♂️
Deux formats au choix :
- papier 📄
- ou numérique avec #MathALÉA et #Capytale 💻📱
Conseil : optez pour le numérique et la correction automatique ✅️
https://codimd.apps.education.fr/s/7G91CuKJR

#maths #automatismes
#sdm26
@capytale

Problem for March 6th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Good observation!

#MathMemes #Maths

ALT

Problem for March 5th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

Problem for March 4th from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) ➡️ https://decompwlj.com/
- Algorithms ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

#decompwlj #math #mathematics #maths #sequence #OEIS #Downloads #Algorithms #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research #PARIGP

ALT

Noise Bullseye

Experimenting with semi-random noise in Processing. In this generative art piece I programmed it so that each pixel has a random lightness and the lightness is biased towards a certain value. That value is determined by the sine function, which is plotted in polar coordinates.

You'll notice that there are rings of pure black... This is due to the value of the sine function being zero (I used sin( r/20 ) + 1 so the the area where the sine is zero is stretched out) and the fact that the lightness of each pixel is obtained by multiplying by the sine function. So the lightness of these pixels is a random value multiplied by the sine at that location, which ends up being zero.

I like how the result ended up looking like a 3D styrofoam bullseye.

#Art #ArtistOfMastodon #Abstract #AbstractArt #Generative #GenerativeArt #Math #MathArt #Maths #Mathematics #MathematicalArt #Geometry #Geometric #GeometricArt #Coding #Programming #Algorithm #Processing

Problem for March 3rd from the 2026 AMS Daily Epsilon of Math Calendar

@DailyEpsilon

#math #maths #mathematics #mathstodon