Tootfinder

Kommentare – Das Salz in der Blogsuppe – #blogwochen2025

🖭 Resurrecting a MOTU 2408 with ADAT
http://women-and-dreams.blogspot.com/2025/08/resurrecting-motu-2408-with-adat.html
#audio

Resurrecting a MOTU 2408 with ADAT
This is MOTU 2408 MkIII , an audio interface. It's a frustrating thing. It was originally released in 2003 , but despite being o...

🇺🇦 #NowPlaying on KEXP's #PacificNotions
James K:
🎵 Collapse (falling forward blissfully all the time)
#JamesK
https://jameskmusic.bandcamp.com/track/collapse-falling-forward-blissfully-all-the-time

Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
Lo\"ic Foissy (LMPA), Yunzhou Xie (NJUST), Dawei Zhang (NJUST), Yi Zhang (NJUST)
https://arxiv.org/abs/2510.12239

Cocycle weighted infinitesimal bialgebras and pre-Lie algebras on rooted trees
The concept of weighted infinitesimal bialgebras provides an algebraic framework for understanding the non-homogeneous associative Yang-Baxter equation. In this paper, we endow the space of decorated planar rooted forests with a two-parameters family of coproducts, making it into a weighted infinitesimal bialgebra. A combinatorial characterization of the coproducts is given via the notion of forest biideals. Furthermore, by constructing a bilinear symmetric form and introducing a new grafting o…

Es sollte eine #Blackbox im #Auto geben, die jedes #Hupen genau mit Koordinaten und Uhrzeit dokumentiert

Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras
Chengming Bai, Li Guo, Guilai Liu, Quan Zhao
https://arxiv.org/abs/2509.09884

Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras
It is well-known that an averaging operator on a commutative associative algebra gives rise to a perm algebra. This paper lifts this process to the level of bialgebras. For this purpose, we first give an infinitesimal bialgebra structure for averaging commutative associative algebras and characterize it by double constructions of averaging Frobenius commutative algebras. To find the bialgebra counterpart of perm algebras that is induced by such averaging bialgebras, we need a new two-part split…

A new approach to the bialgebra theory for relative Poisson algebras
Guilai Liu, Chengming Bai
https://arxiv.org/abs/2509.11282 https://arxiv.org/pdf/2509.…

A new approach to the bialgebra theory for relative Poisson algebras
It is natural to consider extending the typical construction of relative Poisson algebras from commutative differential algebras to the context of bialgebras. The known bialgebra structures for relative Poisson algebras, namely relative Poisson bialgebras, are equivalent to Manin triples of relative Poisson algebras with respect to the symmetric bilinear forms which are invariant on both the commutative associative and Lie algebras. However, they are not consistent with commutative and cocommut…

Amazing crop of blackberries at Farlington Marshes.

Chinese company Zinwa is reviving BlackBerry Classic with Android #Android

BlackBerry Classic is being revived with Android, and it can be yours for $400
A Chinese company is reviving the decade-old BlackBerry Classic with new hardware and installing Android on it for a modern experience.

🇺🇦 #NowPlaying on KEXP's #MiddayShow
Blackfire:
🎵 What Do You See
#Blackfire
https://farmlife.bandcamp.com/track/blackfire-what-do-you-see-live-bonus-track