Tootfinder

🔊 #NowPlaying on #BBCRadio3:
#ClassicalMixtape
- Classical music for focus or relaxation
Enjoy a 30-minute soundscape of classical favourites including a Scottish Dance from Malcolm Arnold and Maria Joao Pires performing a Brahms intermezzo.
Relisten now 👇
https://www.bbc.co.uk/programmes/m002d7h6

Equidistribution of realizable Steinitz classes for cyclic Kummer extensions
Brody Lynch
https://arxiv.org/abs/2506.12999 https://arx…

Equidistribution of realizable Steinitz classes for cyclic Kummer extensions
Let $\ell$ be prime, and $K$ be a number field containing the $\ell$-th roots of unity. We use techniques from classical algebraic number theory to prove that the Steinitz classes of $\mathbb Z/\ell\mathbb Z$ extensions of $K$ are equidistributed among realizable classes in the ideal class group of $K$. For $\ell = 2$, this was proved by Kable and Wright using the deep theory of prehomogeneous vector spaces. Foster proved that Steinitz classes are uniformly distributed between realizable classe…

sp_high_school_new: High school dynamic contacts (2011-2012)
These datasets contain the temporal network of contacts between students in a high school in Marseilles, France. The first dataset gives the contacts of the students of three classes during 4 days in Dec. 2011, and the second corresponds to the contacts of the students of 5 classes during 7 days (from a Monday to the Tuesday of the following week) in Nov. 2012.
This network has 126 nodes and 28561 edges.
Tags: Soc…

Hamiltonian Formalism for Comparing Quantum and Classical Intelligence
Elija Perrier
https://arxiv.org/abs/2506.14456 https://arxiv.o…

Hamiltonian Formalism for Comparing Quantum and Classical Intelligence
The prospect of AGI instantiated on quantum substrates motivates the development of mathematical frameworks that enable direct comparison of their operation in classical and quantum environments. To this end, we introduce a Hamiltonian formalism for describing classical and quantum AGI tasks as a means of contrasting their interaction with the environment. We propose a decomposition of AGI dynamics into Hamiltonian generators for core functions such as induction, reasoning, recursion, learning,…

A polynomial delay algorithm generating all potential maximal cliques in triconnected planar graphs
Alexander Grigoriev, Yasuaki Kobayashi, Hisao Tamaki, Tom C. van der Zanden
https://arxiv.org/abs/2506.12635

A polynomial delay algorithm generating all potential maximal cliques in triconnected planar graphs
We develop a new characterization of potential maximal cliques of a triconnected planar graph and, using this characterization, give a polynomial delay algorithm generating all potential maximal cliques of a given triconnected planar graph. Combined with the dynamic programming algorithms due to Bouchitt{é} and Todinca, this algorithm leads to a treewidth algorithm for general planar graphs that runs in time linear in the number of potential maximal cliques and polynomial in the number of vert…

Classically psh and pluriharmonic functions on Berkovich spaces
Walter Gubler, Joseph Rabinoff
https://arxiv.org/abs/2506.13548 https://

Classically psh and pluriharmonic functions on Berkovich spaces
First we extend the theory of subharmonic functions on smooth strictly $k$-analytic curves from Thuillier's thesis to the case of possibly singular analytic curves over a non-archimedean field. Classically psh functions are then defined as in complex geometry by using pullbacks to analytic curves (and requiring compatibility with base change). We give various properties of classically psh functions including a local and a global maximum principle. As a consequence, we show that the space of plu…

“It doesn’t get anywhere close to The Dark Side Of The Moon, but a few years ago it had clocked up 12 million sales. That’s pretty big!”: Jethro Tull’s Ian Anderson on the band’s classic album — with the “bloody awful” cover https://flip.it/qgpOgk?utm_source=dlvr.it&am…

“It doesn’t get anywhere close to The Dark Side Of The Moon, but a few years ago it had clocked up 12 million sales. That’s pretty big!”: Jethro Tull’s Ian Anderson on the band’s classic album — with the “bloody awful” cover
And no - it's not a concept album!

But I owe a duty to Ireland:
I held her honour in my hand,
This lovely land that always sent
Her writers and artists to banishment
And in a spirit of Irish fun
Betrayed her own leaders, one by one.
James Joyce, Gas From a Burner (1912)
http://www.ricorso.net/rx/library/authors/classic/Joyce_J/Poetry/Gas_Burn.htm

High-expressibility Quantum Neural Networks using only classical resources
Marco Maronese, Francesco Ferrari, Matteo Vandelli, Daniele Dragoni
https://arxiv.org/abs/2506.13605

High-expressibility Quantum Neural Networks using only classical resources
Quantum neural networks (QNNs), as currently formulated, are near-term quantum machine learning architectures that leverage parameterized quantum circuits with the aim of improving upon the performance of their classical counterparts. In this work, we show that some desired properties attributed to these models can be efficiently reproduced without necessarily resorting to quantum hardware. We indeed study the expressibility of parametrized quantum circuit commonly used in QNN applications and …

🇺🇦 #NowPlaying on BBCRadio3's #ClassicalMixtape
Georges Bizet, Angela Gheorghiu, Les Elements Chamber Choir, Orchestre national du Capitole de Toulouse & Michel Plasson:
🎵 Carmen, WD 31, Act 1: Habanera. "L'amour est un oiseau rebelle" (Carmen, Chœur)
https://open.spotify.com/track/3pzBD8BVdrv7VJ7glRYshl