Das ist der europäische Prozessor Rhea1
Der französische Chipdesigner SiPearl zeigt seinen ersten Prozessor. Das Gesamtpaket ist etwa handtellergroß.
https://www.heise.de/news/Das-ist-der-euro
Texas halts approval of data center grid connections until audits are performed; projects representing 474 GW are in the queue, over 5x the grid's peak demand (The Texas Tribune)
https://www.texastribune.org/2026/08/03/texas-data-center-project-audit…
"Onder topman Wael Sawan kijkt Shell kritischer naar projecten voor duurzame energie. De productie van fossiele brandstoffen krijgt juist meer prioriteit."
Dus zo weinig mogelijk investeren in Shell lijkt me. Oude economie.
https://www.nu.nl/economie/…
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
Alibaba prices Qwen3.8-Max at $2 per 1M input tokens and $6 per 1M output tokens via its API, below Kimi K3's $3/1M input tokens and $15/1M output tokens (Henry Siu/The Information)
https://www.theinformation.com/briefings/alibaba-offers-ne…
Durststrecke: Neue Desktop-Prozessoren kommen erst 2027
Intels Nova Lake und AMDs Zen 6 sollen nicht mehr 2026 in den Handel gelangen. Die Leistung scheint allerdings vielversprechend zu sein.
https://www.
Intel verteuert seinen beliebtesten Desktop-Prozessor
Die drei Core-Ultra-Plus-CPUs bekommen höhere Preisempfehlungen. Beim beliebten Core Ultra 7 270K Plus steigt sie um bis zu 17 Prozent.
https://www.