Tootfinder

HomePod: Neue Funktionen ab Herbst mit iOS 26 & Co.
Apple verbessert neben seinen regulären Betriebssystemen auch die Firmware der HomePod-Serie. In Verbindung mit anderen Geräten gibt es hilfreiche Neuerungen.

Hilbert series of second order jets of determinantal varieties
Yifan Chen, Yongxin Xu, Huaiqing Zuo
https://arxiv.org/abs/2507.00681 https://

Hilbert series of second order jets of determinantal varieties
In this paper, we will investigate the jet schemes of determinantal varieties. It is quite often the case that the geometric information concerning the jet schemes of an algebraic variety can be described, but the more refined algebraic information is quite mysterious. For example, it is known that computing the Hilbert function associated to a natural grading on these jet schemes is a very hard problem. The present paper handles a few such computations. It succeeds in computing the Hilbert fun…

Neues aus #BadenWürttemberg:
Videoüberwachung heißt jetzt Videoschutz, sonst ändert sich nix.
#Heilbronn

Shirley Halperin, THR's co-EIC, is departing to become the co-EIC of Rolling Stone alongside Sean Woods, becoming the first woman to lead the brand (The Hollywood Reporter)
https://www.hollywoodreporter.com/news/gen

Shirley Halperin Joins Rolling Stone as Co-Editor-in-Chief; Maer Roshan Becomes Sole EIC at The Hollywood Reporter
Halperin becomes the first woman to lead the venerable music brand; Roshan will direct editorial strategy for THR's print magazine, digital and social platforms and its expansion into audio and video. 

Hilbert Forest in the SISAP 2025 Indexing Challenge
Yasunobu Imamura, Takeshi Shinohara, Naoya Higuchi, Kouichi Hirata, Tetsuji Kuboyama
https://arxiv.org/abs/2508.21682 https:/…

Hilbert Forest in the SISAP 2025 Indexing Challenge
We report our participation in the SISAP 2025 Indexing Challenge using a novel indexing technique called the Hilbert forest. The method is based on the fast Hilbert sort algorithm, which efficiently orders high-dimensional points along a Hilbert space-filling curve, and constructs multiple Hilbert trees to support approximate nearest neighbor search. We submitted implementations to both Task 1 (approximate search on the PUBMED23 dataset) and Task 2 (k-nearest neighbor graph construction on the …

Smoothness in the space of bounded linear operators on semi-Hilbert space
Somdatta Barik, Souvik Ghosh, Kallol Paul, Debmalya Sain
https://arxiv.org/abs/2509.00335 https://

Smoothness in the space of bounded linear operators on semi-Hilbert space
Given a nonzero positive operator $A$ on a Hilbert space $\mathbb{H}$, a semi-inner product is naturally induced on $\mathbb{H}$. In this work, we introduce the notion of \emph{$A$-smoothness} for bounded linear operators on the resulting semi-Hilbert space and investigate its various properties. We provide a comprehensive characterization of the $A$-smoothness for $A$-bounded operators and further analyze the $A$-smoothness of $A$-compact operators in terms of their $A$-norm attainment sets. U…

🇺🇦 Auf radioeins läuft...
Matt Berninger:
🎵 Bonnet Of Pins (Radio-Edit)
#NowPlaying #MattBerninger
https://mattberninger.bandcamp.com/track/bonnet-of-pins
https://open.spotify.com/track/0hLFRJetaM0qj09lyyJ9a5

A quantitative Hilbert's basis theorem and the constructive Krull dimension
Ryota Kuroki
https://arxiv.org/abs/2509.00363 https://arxiv.org/pdf/2509.00…

A quantitative Hilbert's basis theorem and the constructive Krull dimension
In classical mathematics, Gulliksen has introduced the length of Noetherian modules, and Brookfield has determined the length of Noetherian polynomial rings. Brookfield's result can be regarded as a quantitative version of Hilbert's basis theorem. In this paper, based on the inductive definition of Noetherian modules in constructive algebra, we introduce a constructive version of the length called $α$-Noetherian modules, and present a constructive proof of some results by Brookfield. As a cons…

VVD, NSC en BBB lieten dit gebeuren.
"Het is aannemelijk dat ook hulpverleners strafbaar zijn door de wijziging van de asielwetten die voor de zomer plots werd doorgevoerd, meldt de Raad van State vrijdag. Het hoogste adviesorgaan spreekt verder van een "onzorgvuldig wetgevingsproces".

Raad van State: Hulpverleners mogelijk strafbaar door aangepaste asielwet
Het is aannemelijk dat ook hulpverleners strafbaar zijn door de wijziging die voor de zomer plots werd toegevoegd aan de asielwetten. Dat meldt de Raad van State vrijdag. Het hoogste adviesorgaan spreekt verder van een "onzorgvuldig wetgevingsproces".

One rule for thee, another for me. #LLM #AI #GenAI