RE: https://mastodon.green/@gerrymcgovern/116334729524665446
New paper about local temperature impact of AI data centers:
The data heat island effect: quantifying the impact of AI data centers in a warming world
Thousands in US to join 'no school, no work, no shopping' May Day protest in economic blackout (Lex McMenamin/The Guardian)
https://www.theguardian.com/us-news/2026/may/01/may-day-strong-economic-protests
http://www.memeorandum.com/260501/p67#a260501p67
A polynomial-time algorithm for recognizing high-bandwidth graphs
Luis M. B. Varona
https://arxiv.org/abs/2602.01755 https://arxiv.org/pdf/2602.01755 https://arxiv.org/html/2602.01755
arXiv:2602.01755v1 Announce Type: new
Abstract: An unweighted, undirected graph $G$ on $n$ nodes is said to have \emph{bandwidth} at most $k$ if its nodes can be labelled from $0$ to $n - 1$ such that no two adjacent nodes have labels that differ by more than $k$. It is known that one can decide whether the bandwidth of $G$ is at most $k$ in $O(n^k)$ time and $O(n^k)$ space using dynamic programming techniques. For small $k$ close to $0$, this approach is effectively polynomial, but as $k$ scales with $n$, it becomes superexponential, requiring up to $O(n^{n - 1})$ time (where $n - 1$ is the maximum possible bandwidth). In this paper, we reformulate the problem in terms of bipartite matching for sufficiently large $k \ge \lfloor (n - 1)/2 \rfloor$, allowing us to use Hall's marriage theorem to develop an algorithm that runs in $O(n^{n - k 1})$ time and $O(n)$ auxiliary space (beyond storage of the input graph). This yields polynomial complexity for large $k$ close to $n - 1$, demonstrating that the bandwidth recognition problem is solvable in polynomial time whenever either $k$ or $n - k$ remains small.
toXiv_bot_toot
📢 Bundesregierung will Kranke und Kinder aus Nahost zurückholen
Die Bundesregierung bereitet die Rückholung von Kindern, Kranken und Schwangeren unter den im Nahen Osten gestrandeten Deutschen vor. Dazu würden Charter-Maschinen nach Saudi-Arabien und in den Oman geschickt, sagte Außenminister Wadephul.
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„Deutschland denkt vom Produkt her. Der industrielle Kern – Maschinenbau, Automobil, Mittelstand, Hidden Champions – folgt einem tief verwurzelten Prinzip: Das Produkt trifft die Entscheidungen, die anderswo von der Marke getroffen werden.“
💯 Punktlandung von Kim Notz.
#marketing #newsletter
RE: https://mastodon.social/@AnnaAnthro/116337752352385821
So... I assume we'll be renaming all the towns/streets/schools named after saints? And that Montréal will be taking down the giant crucifix from the mountain? And that Easter, Good Friday, C…
Lifting systems for finite length modules
Benjamin Katz, Nawaj KC, Kesavan Mohana Sundaram, Andrew J. Soto Levins, Ryan Watson
https://arxiv.org/abs/2602.01440 https://arxiv.org/pdf/2602.01440 https://arxiv.org/html/2602.01440
arXiv:2602.01440v1 Announce Type: new
Abstract: This paper is concerned with lifting modules along a surjective map of noetherian local rings, say $\varphi \colon R \twoheadrightarrow S$. A finitely generated $R$-module $L$ is a naive lift of an $S$-module $M$ if $L \otimes_R S \cong M$. We are concerned with the maximum depth and dimension among all naive lifts of $M$, which we call the liftable depth and liftable dimension, respectively, of $M$ along $\varphi$. We approach this via a notion of lifting systems that we introduce in this paper. We then provide a necessary and sufficient condition for a module of finite length to lift and Serre lift to a regular local ring in terms of lifting systems.
toXiv_bot_toot
What is the maximum amount of value destruction that could be wrought on the big centralized commercial AI vendors, and the maximum amount of acceleration of the ecosystem of open source and community-led
alternatives, using the knowledge gained from the leak of the Claude Code source code?