Tootfinder

If there's one thing that life has taught me about alarmist left-wing crackpots it's that they are consistently right about basically everything.

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…

In every photo I want to be Midge, but I'm always Schapansky. I never have the vibe right.
#nwsl

On Sunday, voters are casting their ballots in the decisive runoff between
Rafał Trzaskowski, the liberal-centrist mayor of Warsaw,
and Karol Nawrocki, a right-wing historian who has helmed a nationalist effort to rewrite Poland’s role in the Holocaust.
The candidates offer starkly different visions for Poland.
Trzaskowski promises cooperation with the European Union and social changes, such as loosening restrictive abortion laws and allowing civil unions for LGBTQ peo…

On the local metric dimension of $K_4$-free graphs
Ali Ghalavand, Sandi Klav\v{z}ar, Xueliang Li
https://arxiv.org/abs/2506.00414 https://

On the local metric dimension of $K_4$-free graphs
Let $G$ be a graph of order $ n(G) $, local metric dimension $ \dim_l(G) $, and clique number $ ω(G) $. It has been conjectured that if $ n(G) \geq ω(G) + 1 \geq 4 $, then $ \dim_l(G) \leq \left( \frac{ω(G) - 2}{ω(G) - 1} \right) n(G) $. In this paper the conjecture is confirmed for the case $ ω(G) = 3 $. Consequently, a problem regarding the local metric dimension of planar graphs is also resolved.

NEAT and HyperNEAT based Design for Soft Actuator Controllers
Hugo Alcaraz-Herrera, Michail-Antisthenis Tsompanas, Igor Balaz, Andrew Adamatzky
https://arxiv.org/abs/2506.04698

NEAT and HyperNEAT based Design for Soft Actuator Controllers
Since soft robotics are composed of compliant materials, they perform better than conventional rigid robotics in specific fields, such as medical applications. However, the field of soft robotics is fairly new, and the design process of their morphology and their controller strategies has not yet been thoroughly studied. Consequently, here, an automated design method for the controller of soft actuators based on Neuroevolution is proposed. Specifically, the suggested techniques employ Neuroevol…

This https://arxiv.org/abs/2505.17370 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

FRIREN: Beyond Trajectories -- A Spectral Lens on Time
Long-term time-series forecasting (LTSF) models are often presented as general-purpose solutions that can be applied across domains, implicitly assuming that all data is pointwise predictable. Using chaotic systems such as Lorenz-63 as a case study, we argue that geometric structure - not pointwise prediction - is the right abstraction for a dynamic-agnostic foundational model. Minimizing the Wasserstein-2 distance (W2), which captures geometric changes, and providing a spectral view of dynamic…

Dimensionen der chinesischen Aufholjagd https://www.german-foreign-policy.com/news/detail/9989

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…