A Prime Number Has No Missing Residues This scene treats a number n as a modular world. The visible particles are the invertible residues: Uₙ = {a : 1 ≤ a < n, gcd(a,n) = 1}. Each residue is placed by the modular inverse map, a · a⁻¹ ≡ 1 mod n. When n is prime, every nonzero residue survives, so the whole shell blooms. When n is composite, factors carve holes into the shell. The backdrop is built from Ramanujan sums, cₙ(k) = Σ_{a ∈ Uₙ} exp(2πiak/n), so the field is made from the same coprime residues that decide which particles exist. #PrimeNumbers #ModularArithmetic #RamanujanSums #NumberTheory #MathAnimation #Mathelirium

The Drum Draws Its Own Geometry A vibrating membrane solves the wave equation ∂²ψ/∂t² = c²Δψ, and on a square its Laplacian eigenmodes take the form φₘₙ(x,y) = sin(mπx)sin(nπy) When many modes interfere, ψ(x,y,t) = ΣAₘₙcos(ωₘₙt αₘₙ)φₘₙ(x,y), the moving nodal curves ψ(x,y,t) = 0 cut the square into living spectral cells.

did you know you can block all ads on your phone? here's how: settings -> connections -> more connection settings -> private dns type in "dns.adguard.com" for the private dns

every now and then i peruse the musician section on craigslist for people near me that want to jam/start a band. i can tell you that most of the people i've talked to loathe electronic music. they hear i make it solo and immediately dismiss that i can sing and play many instru.

which version of #Stargate sg-1 is better?

「木星の縮小」 木星パターンが縮小して見える。

this newest soundcloud update is absolute crap. have fun trying to listen to a playlist without having to wait for almost every song to load.

i wonder what the music world be like if mobile music creation apps weren't pretty niche in 2010 but instead blew up in popularity? a generation of people making music on their phones would result in...?

if you use suno, try initial prompt in v4.5, remaster both output tracks in v5.5, then mashup those two outputs.

thinking about releasing 5 minutes of white noise and saying ai made it.

I recently had surgery to get my second tumor removed. I was diagnosed with Pleomorphic liposarcoma. A rare but aggressive cancer. I know it shouldn’t be like this but even with insurance I have medical/regular bills piling up. Even a share helps! gofund.me/8af567460

richard dean anderson was good in macgyver but he was in his prime in stargate.

the second installment just dropped. available everywhere. Listen to jAIn^2, a playlist by CATALYSTMIC on #SoundCloud on.soundcloud.com/QNQdiarrcC…

Listen to 'jAIn: Goof Tracks,' an album by CATALYSTMIC on #SoundCloud on.soundcloud.com/Fradn8NxQq…

new album preview, listen before it goes private! p.s. i'm still working on curating the track order. Listen to jAIn^4, a playlist by CATALYSTMIC on #SoundCloud on.soundcloud.com/AXMRedfCFb…

Footsteps illusion based on the luminance change-induced motion illusion The rectangles move to the right at a constant speed, yet they appear to speed up or slow down.

finally going to get a jamstik thanks to the four installment zero interest payment plan. i've been wanting one for a long time now.

music artists: when you make a song, do you come up with the title