The most revealing fact about Google’s water use in The Dalles is not just the size of the number.
It is how difficult that number was for the public to obtain.
The Dalles spent 13 months fighting to keep Google’s water use secret
— then records showed the data center campus consumed roughly a third of the Oregon city’s supply
My mother brought me to this country from Peru as a young boy.
She always told me that we need to work hard, give back, and help our community,
because that is what it means to be an American.
When she died of COVID-19,
I promised I would fight like hell for every family like ours.
In 2022 my community sent me to Congress - the first openly LGBTQ immigrant ever elected - to do just that.
I’m Robert Garcia – now the top Democrat on the House Ov…
Girls just wanna have Pfand
Jährlicher Zubau und Rückbau von #Balkonsolarleistung in Deutschland mit Stand vom 29.06.2026.
Unplausible Inbetriebnahmedaten von 1900 bis 2017 wurden durch das Registrierungsdatum der #Steckersolaranlage ersetzt.
👉 Zusatzlesestoff:
Good morning gang! Let’s solve the mystery of the missing funnel steps!
Anzahl der Inbetriebnahmen von #Balkonkraftwerken pro Monat in #Deutschland mit Stand vom 29.06.2026.
Unplausible Inbetriebnahmejahre von 1900 bis 2017 wurden durch das Registrierungsdatum der
I'm just cleaning up old video clips in my archive to reclaim some space.
And there I found this short clip from a #cycling tour near the #Tegernsee in summer 2022.
Well, needless to say that it can be quite frequented - it really IS a nice place! (and my
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
Häufigkeitsverteilung der Bruttoleistung von #Balkonkraftwerken in #Deutschland mit Stand vom 29.06.2026.
Unplausible Inbetriebnahmedaten vor 2018 durch Registrierungsdatum ersetzt. Sonderregelungen nach
"U.S. Court of Appeals for the 11th Circuit upheld a 2022 injunction against applying the law to colleges and universities"
Court issues major blow to DeSantis's "Stop WOKE Act" & calls it "a breathtaking assertion of power" - LGBTQ Nation
https://www.lgbtqnation.com/2026/07/court-issues-major-blow-to-desantiss-stop-woke-act-calls-it-a-breathtaking-assertion-of-power/
Kumulativer Zubau von #Balkonsolarleistung in #Deutschland mit Stand vom 29.06.2026.
Die summierte Leistung aller offiziell registrierten #Steckersolaranlagen beträgt b…