Tootfinder

One way to spend time instead of #doomscrolling has recentlt been #codewars
Bitesized problems of different difficulties for almost any language.
Not as big as #adventofcode

Homological invariant properties under cleft extensions
Li Liang, Yajun Ma, Gang Yang
https://arxiv.org/abs/2506.02691 https://arxiv.…

Homological invariant properties under cleft extensions
We study the behavior of the Gorenstein weak global dimension and Gorenstein flat-cotorsion global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension and that of the Gorenstein flat-cotorsion global dimension are both invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to θ-extensions and Morita contex…

This https://arxiv.org/abs/2204.08031 has been replaced.
link: https://scholar.google.com/scholar?q=a

Limit theorems of Chatterjee's rank correlation
Establishing the limiting distribution of Chatterjee's rank correlation for a general, possibly non-independent, pair of random variables has been eagerly awaited by many. This paper shows that (a) Chatterjee's rank correlation is asymptotically normal as long as one variable is not a measurable function of the other, (b) the corresponding asymptotic variance is uniformly bounded by 36, and (c) a consistent variance estimator exists. Similar results also hold for Azadkia-Chatterjee's graph-base…

netscience: Scientific collaborations in network science (2006)
A coauthorship network among scientists working on network science, from 2006. This network is a one-mode projection from the bipartite graph of authors and their scientific publications.
This network has 1589 nodes and 2742 edges.
Tags: Social, Collaboration, Weighted, Projection

I want to do a Boiler Room reboot, but instead of a room full of stock brokers, it’s a room full of vibe coders with Ben Affleck yelling at them to “VIBE HARDER YOU BASTARDS!”
Hollywood, please call me.

netscience: Scientific collaborations in network science (2006)
A coauthorship network among scientists working on network science, from 2006. This network is a one-mode projection from the bipartite graph of authors and their scientific publications.
This network has 1589 nodes and 2742 edges.
Tags: Social, Collaboration, Weighted, Projection

TIPS FOR PERFORMERS:
Playing cards have the top half upside-down to help cheaters.
There are a finite number of jokes in the universe.
Singing is a trick to get people to listen to music longer than
they would ordinarily.
There is no music in space.
People will pay to watch people make sounds.
Everything on stage should be larger than in real life.

Figured out how to create a Linux, MacOS (ARM) and Windows executable in a GitHub action for our PyGame mini game: https://github.com/jhutar/CatWars/blob/f2e61c4fcfd942d3e6e73ad2e9551fd61bc9ee25/.github/workflows/on-tag.yaml

Stringent Constraints on New Pseudoscalars from Precision Hyperfine Splitting Measurements
Cedric Quint, Fabian Hei{\ss}e, Joerg Jaeckel, Lutz Leimenstoll, Christoph H. Keitel, Zolt\'an Harman
https://arxiv.org/abs/2506.03274

Stringent Constraints on New Pseudoscalars from Precision Hyperfine Splitting Measurements
Axion-like particles and similar new pseudoscalar bosons coupled to nucleons and electrons are predicted to lead to spin-dependent forces in atoms and ions. We argue that hyperfine structure measurements in the hydrogen- and lithium-like charge states are a sensitive probe to this effect. Employing specific differences of these splittings reduces uncertainties due to nuclear effects in hyperfine structure calculations and measurements. Using this, we show that existing measurements on Be provid…

R doesnt need to be a hard and scientific tool 📈. You can use it to make art 🎨: #rstats