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http://marc-b-reynolds.github.io/math/2023/11/09/PopNextPrev.html - Popcount walks: next, previous, toward and nearest.

Unipotent quantum coordinate ring and cominuscule prefundamental representations
Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park
https://arxiv.org/abs/2406.02870

Unipotent quantum coordinate ring and cominuscule prefundamental representations
We continue the study of realization of the prefundamental modules $L_{r,a}^{\pm}$, introduced by Hernandez and Jimbo, in terms of unipotent quantum coordinate rings as in [J-Kwon-Park, Int. Math. Res. Not., 2023]. We show that the ordinary character of $L_{r,a}^{\pm}$ is equal to that of the unipotent quantum coordinate ring $U_q^-(w_r)$ associated to fundamental $r$-th coweight. When $r$ is cominuscule, we prove that there exists a $U_q(\mathfrak{b})$-module structure on $U_q^-(w_r)$, which i…

How many people you know took a plane to their holidays this year?
https://fediscience.org/@OceanTerra/112568015758721495

Dr Sam Burgess 🌊 🌍 💸 (@OceanTerra@fediscience.org)
Attached: 3 images Every single month in the last 12 months has broken temperature records for the respective month. For ocean surface temperatures - it's now a 14 month streak If we choose to continue to add greenhouse gases to the atmosphere then 2023/4 will soon look like a cool year, in a similar way to how 2015/6 now appears More: https://climate.copernicus.eu/press-releases #ClimateCrisis #ClimateAction

On Website Technicals (2023-03) - Tech updates: reducing storage writes from logging, slow random. - https://www.earth.org.uk/note-on-site-technicals-70.html

On Website Technicals (2023-03)
Tech updates: reducing storage writes from logging, slow random.

The GÉANT Annual Report 2023 is published today, at the start of #TNC24 week.
GÉANT CEO Erik Huizer @… : “These are just some of the highlights from our busy year and you will find a lot more information in this Annual Report.”

Sources: Indian rapid grocery delivery startup Zepto plans to raise ~$650M co-led by Nexus and StepStone at a valuation of $3.5B, up from $1.4B in August 2023 (Moneycontrol)
https://www.moneycontrol.com/technology/ze

Why am I not surprised?
https://abc11.com/post/elon-musk-accused-improperly-selling-75-billion-tesla/14917474/

Sources: Indian rapid grocery delivery startup Zepto plans to raise ~$650M co-led by Nexus and StepStone at a valuation of $3.5B, up from $1.4B in August 2023 (Moneycontrol)
https://www.moneycontrol.com/technology/ze

Back in the 70s and 80s people used to say "Kids are growing up so much faster these days"
I have no idea if it was true back then.
but people just keep saying it, despite the fact that in 2023 it's plain as day that the opposite is true.

This https://arxiv.org/abs/2401.11610 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Note on Min-k-Planar Drawings of Graphs
The k-planar graphs, which are (usually with small values of k such as 1, 2, 3) subject to recent intense research, admit a drawing in which edges are allowed to cross, but each one edge is allowed to carry at most k crossings. In recently introduced [Binucci et al., GD 2023] min-k-planar drawings of graphs, edges may possibly carry more than k crossings, but in any two crossing edges, at least one of the two must have at most k crossings. In both concepts, one may consider general drawings or …

Sliding Window 3-Objective Pareto Optimization for Problems with Chance Constraints
Frank Neumann, Carsten Witt
https://arxiv.org/abs/2406.04899 https://…

Sliding Window 3-Objective Pareto Optimization for Problems with Chance Constraints
Constrained single-objective problems have been frequently tackled by evolutionary multi-objective algorithms where the constraint is relaxed into an additional objective. Recently, it has been shown that Pareto optimization approaches using bi-objective models can be significantly sped up using sliding windows (Neumann and Witt, ECAI 2023). In this paper, we extend the sliding window approach to $3$-objective formulations for tackling chance constrained problems. On the theoretical side, we sh…

Heute vor 1 Jahren: Am 14. Juni 2023 erklärte der belarussische Präsident Aleksander Lukaschenko in einem Fernsehinterview mit dem russischen Staatssender Russia-1, dass #Belarus, wie am 25.03.23 durch Putin angekündigt, #Kernwaffen von Russland erhalten habe.

This https://arxiv.org/abs/2311.13017 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

W-kernel and essential subspace for frequencist evaluation of Bayesian estimators
The posterior covariance matrix W defined by the log-likelihood of each observation plays important roles both in the sensitivity analysis and frequencist evaluation of the Bayesian estimators. This study is focused on the matrix W and its principal space; we term the latter as an essential subspace. A key tool for treating frequencist properties is the recently proposed Bayesian infinitesimal jackknife approximation (Giordano and Broderick (2023)). The matrix W can be interpreted as a reproduc…