Mastodawn

RE: https://mathstodon.xyz/@johncarlosbaez/116662332807347504

In memory of Ivan Todorov (1933–2025).
His publications:
<https://scholar.google.com/citations?user=wZiNNXoAAAAJ>
(INRNE is Institute for Nuclear Research and Nuclear Energy.)

After expanding to show all 433 articles, "octonion[ic]" appears in five titles.
The most cited of the latter is a 2018 paper with Svetla Drenska,
"Octonions, exceptional Jordan algebra and the role of the group F₄ in particle physics".

#Algebra
#MathematicalPhysics
#Octonions
#ParticlePhysics
#TheoreticalPhysics

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Vassil Nikolov | Васил Николов 1d ago

Indeed.
I have also seen it done in reality.
Most recently yesterday (2026-05-31) watching John Baez's talk on the topic of octonionic quantum field theory (exploring the algebraic structure of the gauge group).
Pure wizardry.

At a workshop in memory of Ivan Todorov.
Zoom's voice said the talk was being recorded, so perhaps AUBG or IMI will make it available (the organizers: the American University in BulGaria and the Institute of Mathematics and Informatics).

John Baez's preliminary announcement and summary:
<https://mathstodon.xyz/@johncarlosbaez/116662332807347504>

#Algebra
#MathematicalPhysics
#Octonions

@dougmerritt

John Carlos Baez (@[email protected])

Attached: 1 image On Sunday I'm giving a talk "The Standard Model gauge group from octonions" at a workshop in memory of the physicist Ivan Todorov. With some help from David Madore, @pschwahn and I have proved a conjecture that relies very heavily on some work of Todorov and Dubois-Violette. I think you can watch the talk on Zoom here at 14:30 UTC: https://aubg-satellite-workshop.netlify.app/ It may not be recorded. Very loosely, the conjecture says the symmetries of the Standard Model of particle physics are precisely the symmetries of an octonionic qutrit that preserve both an octonionic qubit and a complex qutrit. This is a freaky weird connection between particle physics and quantum information which might be a coincidence or might be significant. Here's what we actually proved: Let 𝔥ₙ(𝕂) be the Jordan algebra of n×n self-adjoint matrices with entries in the normed division algebra 𝕂 - for n ≤ 3 if 𝕂 is the octonions, or all n otherwise. Suppose A,B are Jordan subalgebras of 𝔥₃(𝕆) such that A ≅ 𝔥₂(𝕆), B ≅ 𝔥₃(ℂ), A ∩ B ≅ 𝔥₂(ℂ). Then the group of automorphisms of 𝔥₃(𝕆) preserving both A and B is the gauge group of the Standard Model, namely (SU(3) × SU(2) × U(1))/ℤ₆.

Mathstodon

El Pregoner del Metall 1d ago

ALGEBRA (Suïssa) presenta nou àlbum en directe: "Live at RKC" #Algebra #ThrashMetal #Maig2026 #Suïssa #NouÀlbumEnDirecte #Metall #Metal #MúsicaMetal #MetalMusic

kipriyanovich 3d ago

Alright, future engineers!
**Logarithms** are the inverse of exponentiation: `log_b(x) = y` means `b^y = x`.
Ex: `log_2(8) = 3` because `2^3 = 8`.
Pro-Tip: Think 'what power of b gives me x?' Makes evaluating easy!
#Algebra #Logarithms #STEM #StudyNotes

kipriyanovich 4d ago

Alright, future engineers!
The **Discriminant** (`Δ`) reveals the nature of roots for a quadratic equation `ax^2+bx+c=0`.
Formula: `Δ = b^2 - 4ac`.
Pro-Tip: `Δ > 0` (2 real roots); `Δ = 0` (1 real root); `Δ < 0` (0 real, 2 complex roots).
#Algebra #QuadraticEquations #STEM #StudyNotes

Ricardo 4d ago

Una motivación para el determinante

#mates #matematicas #algebra

Amiga 5d ago

## mandelbrot 16:29

# syntax

* `nice -19 fraqtive &`
* type *julia*
* variant *conjugate*
* parameters *x 0.4 y 0.5*
* exponent *real=2.91*
* zoom *10^-0.45*
* rotation *10.0 deg*
* formula *Z(n+1)=_Z(n)^2+C*
* generation *2D*
* Resolution *Width 2560 Height 1080*
* Anti Aliasing *Medium*
* Multisampling *4x4*
* Calculation time a few s

## Julia Mandelbrot

sources:

man fraqtive(1)

man thunar(1)

**Advanced fractal mathematics** by *Gerold van Dijk*

* https://uvs.edu.sr/books/advanced_fractal_math_v2.4.txt
* defunct!

https://en.wikipedia.org/wiki/Mandelbrot_set

#mathematics #math #coprocessor #programming #mandelbrot #fractals #advanced #Lineair #Algebra #complex #numbers #formulas #matrix #technology #OpenSource #no #TV#

kipriyanovich 6d ago

Alright, future engineers!
**Function Composition:** Applying one function to the output of another.
Ex: `(f o g)(x) = f(g(x))`
Pro-Tip: Work *inside-out*! The output of the inner function becomes the input for the outer. Check domains carefully!
#Functions #Algebra #STEM #StudyNotes

kipriyanovich May 26

Alright, future engineers!
A **Logarithm** answers What exponent do I need?. `log_b(x)=y` means `b^y=x`.
Ex: `log_2(8) = 3` because `2^3 = 8`.
Pro-Tip: `log(x)` (no base) usually means base 10; `ln(x)` means natural log (base e)!
#Algebra #Logarithms #STEM #StudyNotes

Amiga May 26

## mandelbrot 04:19