March 2024:
As rains continue to fill local lakes and reservoirs,
onlookers are eagerly anticipating seeing the water of Napa County’s Lake Berryessa overflow into its funnel-like spillway, dubbed
“the Glory Hole,”
which channels water 200 feet straight down near Monticello Dam and into Putah Creek on the other side.
During these overflows, the water flowing into the hole looks like the drain of a giant bathtub, or a wormhole to another dimension.
For those…
Nur ein komplett vertrottelter Kapitalist würde zu #Ostern die Preise senken und den Marktpreisvorteil weitergeben, selbst wenn er es aufgrund interner Umstände/Einkauf/Lagermix bereits könnte. 🤪
#Schokolade
In 2024, #Finland made some changes to financial support for students (mostly at #university level). Newspapers report on some financial outcomes:
https://yle.fi/a/74…
RE: https://mastodon.social/@firefoxwebdevs/116680726980295049
It’s important to know (IMO) that headings can never go beyond level 9 with this feature:
This looks like quite a cool project! Can't help wondering if Aotearoa NZ needs something like this... https://codeberg.org/flohmarkt/flohmarkt/ - example
Heute mal wieder eine Mediathekperle schauen mit @… in der Arte Mediathek
https://nexxtpress.de/mediathekperlen/lars-becker-heaven-can-wait-2024/
Yellow Rose. Mary and Joseph Retreat Center, Rancho Palos Verdes, California, USA. August, 2024. Fujifilm X100VI. #ranchopalosverdes #rose #rosegarden
#mous limitless case, Samsung S23, kupljen novembar 2024
Cheeger Inequalities for the Persistent Laplacian
Magnus Bakke Botnan, Rui Dong
https://arxiv.org/abs/2606.02846 https://arxiv.org/pdf/2606.02846 https://arxiv.org/html/2606.02846
arXiv:2606.02846v1 Announce Type: new
Abstract: We study Cheeger-type inequalities for persistent Laplacians associated with inclusions of simplicial complexes $\mathcal{K}\hookrightarrow \mathcal{L}$. We introduce a persistent up $p$-Laplacian $\Delta_{q,p,\mathrm{up}}^{\mathcal{K},\mathcal{L}}$ for $p\geq 1$. For $p=2$, this recovers the usual persistent up Laplacian, while for $p=1$ it yields a nonzero persistent Cheeger constant $\varphi_q^{\mathcal{K},\mathcal{L}}$. We prove a Cheeger-type inequality relating $\varphi_q^{\mathcal{K},\mathcal{L}}$ to the smallest nonzero eigenvalue of $\Delta_{q,\mathrm{up}}^{\mathcal{K},\mathcal{L}}$. This gives a persistent extension of recent work by Jost and Zhang (Ann. Sc. Norm. Super. Pisa Cl. Sci., 2024; arXiv:2302.01069).
We then study two more structured settings. Under a locally complete $q$-skeleton assumption on $\mathcal{K}$, we extend the complete-skeleton isoperimetric inequality of Parzanchevski--Rosenthal--Tessler (Combinatorica, 2016; arXiv:1207.0638) to the persistent setting. For orientable $(q 1)$-dimensional pseudomanifolds, we prove a Kron-type reduction of the persistent up Laplacian to a vertex- and edge-weighted graph Laplacian, possibly with Dirichlet boundary terms, and obtain two-sided Cheeger inequalities; this is related to the dual-graph perspective in the work of Steenbergen--Klivans--Mukherjee (Adv. Appl. Math., 2014; arXiv:1209.5091). We also describe the nonzero persistent Cheeger constant $\varphi_q^{\mathcal{K},\mathcal{L}}$ explicitly in terms of the dual graph in the non-branching pseudomanifold case. Finally, for graph inclusions $H\hookrightarrow G$, we compare the persistent Cheeger constants introduced here with the Kron-reduction Cheeger constants of M\'emoli et al. (SIAM J. Math. Data Sci., 2022; arXiv:2012.02808).
toXiv_bot_toot
William Patrick Corgan Jr., conocido como Billy Corgam, el frontman y guitarrista de The Smashing Pumpkins, hoy cumple 59 años de edad.
La foto es de su presentación en Fauna Primavera el año 2024.
#BillyCorgan #CumpleañosRockero
2024 global temperature record is consistent with model-predicted warming: #GlobalWarming or the lack thereof see the many links in https://skyweek.wordpress.com/2026/03/12/allgemeines-live-blog-ab-dem-12-marz-2026/ at the very bottom).
Bataille des chaînes régionales Š Bienne: TeleBielingue perd sa concession au profit de Canal B
Après une longue lutte commencée en 2024, le Tribunal administratif fédéral a rejeté le recours de TeleBielingue, accordant la concession pour la région Bienne, Jura bernois et Seeland Š Canal B
https://www.letemps.ch/suisse/bataille-des-chaines-regionales-a-bienne-telebielingue-perd-sa-concession-au-profit-de-canal-b