Tootfinder

The Minkowski problem for the $k$-torsional rigidity
Xia Zhao, Peibiao Zhao
https://arxiv.org/abs/2505.24494 https://arxiv.org/pdf/25…

The Minkowski problem for the $k$-torsional rigidity
P. Salani [Adv. Math., 229 (2012)] introduced the $k$-torsional rigidity associated with a $k$-Hessian equation and obtained the Brunn-Minkowski inequalities $w.r.t.$ the torsional rigidity in $\mathbb{R}^3$. Following this work, we first construct, in the present paper, a Hadamard variational formula for the $k$-torsional rigidity with $1\leq k\leq n-1$, then we can deduce a $k$-torsional measure from the Hadamard variational formula. Based on the $k$-torsional measure, we propose the Minkowsk…

This https://arxiv.org/abs/1908.03249 has been replaced.
link: https://scholar.google.com/scholar?q=a

Pairwise Rational Points on a Parabola
This paper presents a solution to the following open problem in Number Theory and Geometry: How many points can you find on the (half) parabola $y=x^2$, $x>0$, so that the distance between any pair of them is rational? This problem sounds like a geometry problem, but it is likely to require techniques in number theory. That's because, to determine if the distance between (a,b) and (s,t) is rational, you need to test whether $(a-s)^2$ + $(b-t)^2$ is the square of a rational number...and such que…

This https://arxiv.org/abs/2404.02288 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Generalized saturation game
We study the following game version of the generalized graph Turán problem. For two fixed graphs F and H, two players, Max and Mini, alternately claim unclaimed edges of the complete graph Kn such that the graph G of the claimed edges must remain F-free throughout the game. The game ends when no further edges can be claimed, i.e. when G becomes F-saturated. The H-score of the game is the number of copies of H in G. Max aims to maximize the H-score, while Mini wants to minimize it. The H-score …

Leider werden viele Leute keinen Widerspruch bei Meta eingelegt haben gegen die KI-Verwendung ihrer Facebook/Instagram-Daten, weil sie dachten "Boah, schon wieder so ein nutzloser Ich-widerspreche Post der nicht funktioniert."
Bin da wohl nicht ganz unschuldig dran, hab vor 11 Jahren einen Scherz gepostet, den viele nicht erkannten (siehe ab Zeile 10)
#Meta

“The theories of textuality, discourse, and visuality at the heart of cultural theory remain largely unresponsive to the sonic, failing to confront the powerful, asignifying materiality that characterizes so much experimental work with sound.”

I feel powerful! :linuxpizza1:

Don't Unwrap Options: There Are Better Ways #Rust
https://corrode.dev/blog/rust-option-handling-best-practices/

I get mixed feelings when I can create a small reproduction project for an issue caused by a single version bump in a third party dependency. It's nice to know it's not my code, but a fix-release is also out of my control
Today's problem; The compiler in #Kotlin 2.1.20. I've even managed to boil it down to a 1 line change where "2.1.10" works, and "2.1.20" o…

Any #flameshot #sway users who might have a problem with fullscreen captures, you want this:
# fix flameshot
for_window [app_id="flameshot"] border pixel 0, floating enable, fullscreen disable, move absolute position 0 0, focus

I've just cleared out a bunch of hashtags I was following. I feel like they filled my timeline but didn't encourage me to reach out in friendship. And often the hashtag was the thing I scrolled past fast, thinking it was a bit ick.
(The hashtags you follow are in profile, then click on the 3 dots).
Let's see how a quieter Mastodon feels, and which hashtags I want to re-introduce...