Tootfinder

Mini-PC: Asus stellt NUC 16 Pro mit RAM-Lüfter vor
Die neueste NUC-Generation bricht mit einer alten Tradition: Die Boards sind nicht mehr quadratisch.
https://www.heise.de/news/Mini-PC-Asus…

Constructing Koszul filtrations: existence and non-existence for G-quadratic algebras
Emily Berghofer, Lisa Nicklasson, Peder Thompson, Thomas Westerb\"ack
https://arxiv.org/abs/2602.06490 https://arxiv.org/pdf/2602.06490 https://arxiv.org/html/2602.06490
arXiv:2602.06490v1 Announce Type: new
Abstract: Given a standard graded algebra over a field, we consider the relationship between G-quadraticity and the existence of a Koszul filtration. We show that having a quadratic Gr\"obner basis implies the existence of a Koszul filtration for toric algebras equipped with the degree reverse lexicographic term order and for algebras defined by binomial edge ideals. We also resolve a conjecture of Ene, Herzog, and Hibi by constructing an example where this implication fails. These results are underpinned by algorithms we develop for constructing Koszul filtrations. We also demonstrate the utility of these algorithms on the pinched Veronese algebra.
toXiv_bot_toot

Mova Viax: Smarte Kleingarten-Mähbots ab 600 Euro und 250 Quadratmeter
Mova zeigt auf der CES günstige Mähbots, die mit Lasersensorik und Kameras kleine Rasenflächen systematisch statt chaotisch kürzen.

Langer Leidensweg - Meterweise Spenderhaut für Opfer von Crans-Montana #News #Nachrichten

Nuclear spin quenching of the $^2S_{1/2}\rightarrow {^2}F_{7/2} $ electric octupole transition in $^{173}$Yb$^ $
Jialiang Yu, Anand Prakash, Clara Zyskind, Ikbal A. Biswas, Rattakorn Kaewuam, Piyaphat Phoonthong, Tanja E. Mehlst\"aubler
https://arxiv.org/abs/2512.05872 https://arxiv.org/pdf/2512.05872 https://arxiv.org/html/2512.05872
arXiv:2512.05872v1 Announce Type: new
Abstract: We report the coherent excitation of the highly forbidden $^2S_{1/2} \rightarrow {^2}F_{7/2}$ clock transition in the odd isotope $^{173}\mathrm{Yb}^ $ with nuclear spin $I = 5/2$, and reveal the hyperfine-state-dependent, nuclear spin induced quenching of this transition. The inferred lifetime of the $F_e = 4$ hyperfine state is one order of magnitude shorter than the unperturbed ${^2}F_{7/2}$ clock state of $^{171}\mathrm{Yb}^ $. This reduced lifetime lowers the required optical power for coherent excitation of the clock transition, thereby reducing the AC Stark shift caused by the clock laser. Using a 3-ion Coulomb crystal, we experimentally demonstrate an approximately 20-fold suppression of the AC Stark shift, a critical improvement for the scalability of future multi-ion $\mathrm{Yb}^ $ clocks. Furthermore, we report the $|^2S_{1/2},F_g=3\rangle~\rightarrow~|^2F_{7/2},F_e=6\rangle$ unquenched reference transition frequency as $642.11917656354(43)$ THz, along with the measured hyperfine splitting and calculated quadratic Zeeman sensitivities of the ${^2}F_{7/2}$ clock state. Our results pave the way toward multi-ion optical clocks and quantum computers based on $^{173}\mathrm{Yb}^ $.
toXiv_bot_toot

Neues zur #Vulkangruppe. Wusste wieder keiner!

(€) In #Tübingen liefert ein neuer #Solarthermie-Park seit Oktober klimafreundliche #Fernwärme.
Die Anlage mit 23.000 Quadratmetern

75 Quadratmeter Wedding https://weddingweiser.de/75-quadratmeter-wedding/

Salzseifen, Sandstein-Edition
#Soapmaking

DJI Osmo Action 6: Actionkamera mit variabler Blende
Die Actioncam DJI Osmo Action 6 kommt mit einem 1/1,1-Zoll-Quadratsensor, der hohe Bildqualität verspricht. Die Blende lässt sich von f/2,0 – f/4,0 variieren.
https:/…