math

Impossibility Proof for Instant 8-tuple Piston Extenders https://lobste.rs/s/r07fdn #video #formalmethods #games #math #reversing
https://www.youtube.com/watch?v=I-MMyRzmqFI

The Mathocalypse via @mseri https://lobste.rs/s/zlhyss #math #vibecoding
https://scottaaronson.blog/?p=10169

Here's a pro tip for any maths students: the easiest way to find a local maximum of a function is to introduce a cat and see where it decides to sit.

#Math #Maths #CatsOfMastodon

ALT

Monte-Carlo simulations https://lobste.rs/s/pift8w #math
https://eli.thegreenplace.net/2026/monte-carlo-simulations/

How to Believe a Machine-Checked Proof (1997) https://lobste.rs/s/8nfjfc #pdf #formalmethods #math
https://www.brics.dk/RS/97/18/BRICS-RS-97-18.pdf

Float and integer arithmetic follow two different paradigms https://lobste.rs/s/yjz4o6 #c #math #rust
https://blog.pkh.me/p/49-float-and-integer-arithmetic-follow-two-different-paradigms.html

Navier-Stokes lost in translation: Why Lean verification of AI autoformalisation does not guarantee correct natural language proofs https://lobste.rs/s/axmhji #pdf #formalmethods #math #reversing #vibecoding
https://arxiv.org/abs/2610.08144

For those working on high-dimensional algebraic computations, physics simulations, or geometric deep learning, I've open-sourced a two-tier Python ecosystem for hypercomplex number systems:
1. hypercomplex-engine: Focuses on the computational substrate. It generates cross-validated multiplication tables for standard, split, and dual algebras, and includes an \(O(1)\) closed-form bitwise sign evaluator capable of handling massive word-RAM indices where standard \(O(4^n)\) table memory fails.
Link: https://github.com/maher1719/hypercomplex-engine
2. hypercomplex-algebra: A mathematically rigorous application layer built on top of the engine. It introduces a tokenized string-expression parser (e.g., 3e1 + 2eps_e2) and maps out component-wise tensor product multiplication across mixed algebra slots with explicit error boundaries.
Link: https://github.com/maher1719/hypercomplex-algebra
Both libraries are pure Python 3.10+, can be downloaded with pip, rely only on NumPy, and feature automated cross-validation tests aligning the recursive holographic models with the closed-form bitwise outputs.
#AbstractAlgebra #HypercomplexNumbers #Python #Math #Physics #OpenSource #Cayleydickson #algebra

Vi Hart's Big Navier-Stokes Post https://lobste.rs/s/j30pg4 #ai #math
https://www.patreon.com/vihart/posts/vi-harts-big-171939430

Faster Fourier Transforms https://lobste.rs/s/xz6sst #math #vibecoding
https://www.argmin.net/p/faster-fourier-transforms

There's never been a better time to go into math https://lobste.rs/s/wzgadv #video #math
https://www.youtube.com/watch?v=LKrwhjOI8Nc

Why are we even doing all this? https://lobste.rs/s/qvomvk #ai #culture #math
https://terrytao.wordpress.com/2026/10/15/why-are-we-even-doing-all-this/

Does anyone else ever worry that the scientific method doesn't work and instead it's just that any heavy computation (like doing a bunch of math in order to model some phenomenon) exhausts the local resources and makes the universe more malleable? Maybe we just tell ourselves that math is unreasonably effective because the truth that it's damaging the fabric of reality is too disturbing.

#math #mathematics #science #ScientificMethod #ScienceFiction #philosophy

Why Math Dumped OpenAI https://lobste.rs/s/uj7pqu #ai #math #vibecoding
https://raymyers.org/post/math-dumped-openai/

Making Hybrid Images (2014) https://lobste.rs/s/16tsvr #graphics #math
https://www.jeremykun.com/2014/09/29/hybrid-images/

This week's net.wars, "Mathslopapocalypse", wades into OpenAI's 722-paper disruption of the field of mathematics: https://netwars.pelicancrossing.net/2026/10/16/mathslopapocalypse/ #NetWars #math #AI