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On elementary abelian 2-hypergroups
Yu Jiang
https://arxiv.org/abs/2506.05291 https://arxiv.org/pdf/2506.05291

On elementary abelian 2-hypergroups
A hypergroup is called an elementary abelian 2-hypergroup if it is a constrained direct product of the closed subsets of two elements. In this paper, the elementary abelian 2-hypergroups are studied. All closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are determined. The numbers of all closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are given. A criterion for the isomorphic closed subsets of the elementa…

The South Coast Air Quality Management District will hold a public hearing Friday on two proposed regulations designed to limit key pollutants that form smog.
If adopted, the rules would phase out the sale of gas-powered furnaces and water heaters in the region.
Officials say the plan is crucial for reducing air pollution and improving public health, while opponents fear higher consumer costs.

Regulators seek to phase out gas-powered appliances in Southern California
The South Coast Air Quality Management District is poised to vote on regulations that would limit emissions of nitrogen oxides — the key pollutants that form smog.

Avalon & Electric Universe - Plant Medicine | #NowPlaying

Neuronal avalanches as a predictive biomarker of BCI performance: towards a tool to guide tailored training program
Camilla Mannino (NERV), Pierpaolo Sorrentino (INS), Mario Chavez (NERV), Marie-Costance Corsi (NERV)
https://arxiv.org/abs/2506.04745

Neuronal avalanches as a predictive biomarker of BCI performance: towards a tool to guide tailored training program
Brain-Computer Interfaces (BCIs) based on motor imagery (MI) hold promise for restoring control in individuals with motor impairments. However, up to 30% of users remain unable to effectively use BCIs-a phenomenon termed ''BCI inefficiency.'' This study addresses a major limitation in current BCI training protocols: the use of fixed-length training paradigms that ignore individual learning variability. We propose a novel approach that leverages neuronal avalanches-spatiotemporal cascades of bra…

OpenAI is appealing a court order in the NYT case requiring it to keep ChatGPT outputs indefinitely, saying it conflicts with its privacy commitments to users (Reuters)
https://www.reuters.com/business/media-tel

This https://arxiv.org/abs/2408.16394 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the asymptotics of elementary-abelian extensions of local and global function fields
We determine the distribution of discriminants of wildly ramified elementary-abelian extensions of local and global function fields in characteristic $p$. For local and rational function fields, we also give precise formulae for the number of elementary-abelian extensions with a fixed discriminant divisor, which describe a local-global principle.

Incredibly shocking imagery of the impact of war in Gaza, the destruction is appalling, the Groznyisation of an entire country
https://app.nos.nl/shorthand/weggevaagd-dit-blijft-over-van-gaza-in-de-ingenomen-gebieden/index.html

OpenAI is appealing a court order in the NYT case requiring it to keep ChatGPT outputs indefinitely, saying it conflicts with its privacy commitments to users (Reuters)
https://www.reuters.com/business/media-tel

140gCO2/kWh National Grid CO2 intensity so-so wrt last 24h so don't run big appliances now if you can wait. #CO2

GB Grid Intensity Status - Earth Notes
Live marginal carbon intensity of the grid in Great Britain.

96gCO2/kWh National Grid CO2 intensity so-so wrt last 24h so don't run big appliances now if you can wait. #CO2

GB Grid Intensity Status - Earth Notes
Live marginal carbon intensity of the grid in Great Britain.