Tootfinder

Reading LeGuin's "Four Ways to Forgiveness" and she's excellent as usual; this is my first time reading anything set on Hain, which is kind of exciting. I love this line, which happens while describing Havzhiva's education among the Historians and his initial reaction to seeing these gulf in belief systems and knowledge scope between his upbringing and there Historians' perspective:
"They are childish, irrational beliefs! he said. They looked at him, and he knew he had said something childish and irrational."
Definitely jives with my position as an agnostic :)
#AmReading

i have an irrational fear of stepping on roadside grating and it breaking or coming loose under me, plunging me into the darkness

Found a new place to play Backgammon online, after the old place went towards censorship and irrational behavior.
backgammonhub.com is a friendly community, with a nice and fast gameplay. Also easy to find competition, rather high level players for the most part.
Recommended!
#backgammon #onlinegaming

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
Edoardo Mason
https://arxiv.org/abs/2506.10696 https://

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality
This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces $S$, which depends on the topological type of $S$. In doing so, we study the weak Brill-Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti, we also interpret the problem of determining the degree of irrationality of bielliptic surfaces in terms of the existence of certain stable vector bundles…

Oh, boo, am I irrationally angry about genocide?
Do gently fuck off. https://autistics.life/@VulcanTourist/114659503436582815

Replaced article(s) found for physics.ao-ph. https://arxiv.org/list/physics.ao-ph/new
[1/1]:
Machine Learning-based Denoising of Surface Solar Irradiance simulated with Monte Carlo Ray Tracing

This https://arxiv.org/abs/2506.01870 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

On irredundant orthogonal arrays
Maryam Bajalan, Peter Boyvalenkov
https://arxiv.org/abs/2506.03688 https://arxiv.org/pdf/2506.03688

On irredundant orthogonal arrays
An orthogonal array (OA), denoted by $\text{OA}(M, n, q, t)$, is an $M \times n$ matrix over an alphabet of size $q$ such that every selection of $t$ columns contains each possible $t$-tuple exactly $λ=M / q^t$ times. An irredundant orthogonal array (IrOA) is an OA with the additional property that, in any selection of $n - t$ columns, all resulting rows are distinct. IrOAs were first introduced by Goyeneche and Życzkowski in 2014 to construct $t$-uniform quantum states without redundant info…

On the irrationality of certain $p$-adic zeta values
Li Lai, Cezar Lupu, Johannes Sprang
https://arxiv.org/abs/2505.23088 https://arx…

On the irrationality of certain $p$-adic zeta values
A famous theorem of Zudilin states that at least one of the Riemann zeta values $ζ(5), ζ(7), ζ(9), ζ(11)$ is irrational. In this paper, we establish the $p$-adic analogue of Zudilin's theorem. As a weaker form of our result, it is proved that for any prime number $p \geqslant 5$ there exists an odd integer $i$ in the interval $[3,p+p/\log p+5]$ such that the $p$-adic zeta value $ζ_p(i)$ is irrational.

Various irrational series involving binomial coefficients
Zhi-Wei Sun
https://arxiv.org/abs/2506.01870 https://arxiv.org/pdf/2506.018…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…