Polynomial roots.
Made with #Python #NumPy #Matplotlib in a #marimo notebook.

Today 1200 m

Elan Lhotse skis and Salomon MTB Summits boots.

#skialp

All elementary functions from a single binary operator A single two-input gate suffices for all of Boolean logic in digital hardware. No comparable primitive has been known for continuous mathematics: computing elementary functions such as sin, cos, sqrt,...

This paper claims you can define all elementary functions using just two primitive operations: the constant 1, and the binary function eml(x, y) := e^x - log(y). It's probably true but it may need work because it effectively defines i as √-1 ignoring the two choices here.

arxiv.org/abs/2603.21852

Oggi su Specchio de La Stampa

#skialp

Sembra un filmato generato con AI, invece è una breve clip che ho potuto realizzare grazie alle immagini reali ad alta risoluzione pubblicate dalla NASA.

Sono foto vere, scattate da un essere umano con una Nikon tra le mani a oltre 400.000 km di distanza dal nostro pianeta.

C'è solo da godere.

Thanks!

Polynomial roots.
Made with #Python #NumPy #Matplotlib and @marimo.io

Polynomial roots.
Made with #Python #NumPy #Matplotlib and
@marimo.io

Enjoying the descent.
Made with #pyt.... Made with a little bit of effort.

I have found this gem in the web, and I couldn't agree more.

Maybe, the only change I'd consider is

Bees → BeeRs

but 🐝 are way more important for the 🌍

IFS Fractals with Memory and a Little Bit of Non-Linearity.
Made with #Python #NumPy #Matplotlib and
@marimo.io

#mybackyard #nopython

In 1978, a Soviet satellite exploded over traditional Dené land. Its effects are still felt today | CBC Arts In the new podcast Operation Morning Light, writer Michael LaPointe and broadcaster Dëneze Nakehk'o dive into the little-known chapter of Canadian history.

Holy moly! There are 40 old Soviet uranium-fueled nuclear reactor cores in orbit! I didn't know that:

mastodon.social/@sundogplane...

A while back, one exploded over northern Canada and spewed out radioactive material:

www.cbc.ca/arts/operati...

Algebraic creatures
Made with #Python #NumPy #Matplotlib and
@marimo.io

Univariate polynomial p_{t_1, t_2}(z) with z \in C having degree equal to n. For each values of t_1 and t_2 you have n complex roots. Each of the is a dot in my plot.

Each of them is the set of roots of a polynomial with two parameters in its coefficients.

Algebraic creatures
Made with #Python #NumPy #Matplotlib and
@marimo.io

Algebraic creatures Made with #Python #NumPy #Matplotlib and
@marimo.io

The last step is always at S_n=1. Half of the random walks have length 1 and they end at S_1=1.

1) Flip a coin until the number of heads exceeds the number of tails, and record both the number of heads Nh and the number of tails Nt.
2) Repeat 1) as many times as you like, recording Nh and Nt for each run.
3) Take the average of Nh/(Nh+Nt) and multiply by 4, the result is an estimate of pi!

thanks!

A fair coin "knows" π.
Stop flipping when heads first outnumber tails. The expected fraction of heads is π/4. Average many trials → estimate π.
Result by J. Propp, animated for #PiDay.
Made with #Python #NumPy #Matplotlib and @marimo.io
#Mathematics #MathArt #CreativeCoding

An eigen-starfish!
Made with #python #numpy #matplotlib and @marimo.io

El Nino in arrivo e potrebbe essere forte.

I modelli a medio-lungo termine stanno convergendo verso il ritorno della fase ENSO positiva, nota come EL NINO.

Dopo un anno e mezzo dominato da una debole NINA e da fasi neutre, sembra sempre più probabile il ritorno del NINO a partire da maggio. 1/7

Inverno 2025/2026

Secondo i dati forniti da Copernicus, l’inverno appena trascorso (quello meteorologico) è stato, a livello globale, il quinto più caldo della serie storica. Lo scarto rispetto alla media 1991-2020 è stato pari a +0,51 gradi. 1/4

No, it's not a pipe dream! For more details on how category theory helps us model complex systems, try the talk, slides and papers here:

math.ucr.edu/home/baez/co...

Piogge tossiche, aria irrespirabile.

Teheran è avvolta e sovrastata dai fumi tossici prodotti dagli incendi dei deposti di petrolio della città. Le riserve sono state bombardate dalle forze israeliane (come ufficialmente dichiarato). 1/6