Tootfinder

Heute vor 31 Jahren: Am 3. Oktober 1994 im #Kernkraftwerk #Ringhals – Die Sicherheitsventile des Dampfgenerators funktionierten nicht korrekt. Ein Pumpenausfall führte zu Druckanstieg über 110% des erlaubten Werts. Der Reaktor ging in Standby, um die Ventile zu untersuchen.

Entropy After $\langle \texttt{/Think} \rangle$ for reasoning model early exiting
Xi Wang, James McInerney, Lequn Wang, Nathan Kallus
https://arxiv.org/abs/2509.26522 https://…

Entropy After $\langle \texttt{/Think} \rangle$ for reasoning model early exiting
Large reasoning models show improved performance with longer chains of thought. However, recent work has highlighted (qualitatively) their tendency to overthink, continuing to revise answers even after reaching the correct solution. We quantitatively confirm this inefficiency by tracking Pass@1 for answers averaged over a large number of rollouts and find that the model often begins to always produce the correct answer early in the reasoning, making extra reasoning a waste of tokens. To detect …

A bilinear form for spin$^c$ manifolds
Huijun Yang
https://arxiv.org/abs/2509.01979 https://arxiv.org/pdf/2509.01979

A bilinear form for spin$^c$ manifolds
For any $(8n {+} 2)$-dimensional closed oriented spin$^{c}$ manifold, denote by $[M]$ the fundamental class of $M$, $\langle \cdot ~, ~\cdot \rangle$ the Kronecker product, and $ρ_{2} \colon H^{4n}(M; \mathbb{Z}) \rightarrow H^{4n}(M; \mathbb{Z}/2)$ the $\bmod ~ 2$ reduction homomorphism. In this paper, we will prove that the following identity \[ \langle ρ_2(t) \cdot Sq^2 ρ_2 (t), [M] \rangle = \langle ρ_2 (t) \cdot Sq^2 v_{4n}(M), [M]\rangle, \] holds for any torsion class $t \in H^{4n}(M…

Weitzenb\"ock-Bochner-Kodaira formulas with quadratic curvature terms
Mingwei Wang, Xiaokui Yang
https://arxiv.org/abs/2509.00468 https://arxiv.org/pd…

Weitzenböck-Bochner-Kodaira formulas with quadratic curvature terms
In this paper we establish new Bochner-Kodaira formulas with quadratic curvature terms on compact Kähler manifolds: for any $η\in Ω^{p,q}(M)$, $$ \left\langleΔ_{\overline \partial} η,η\right\rangle =\left\langle Δ_{{\overline\partial}_F} η,η\right\rangle +\frac{1}{4}\left\langle \left(\mathcal {R} \otimes \mathrm{Id}_{Λ^{p+1,q-1}T^*M}\right)(\mathbb T_η),\mathbb T_η\right\rangle. $$ This linearized curvature term yields new vanishing theorems and provides estimates for Hodge numbers…

Amsterdam-Noord - Overhoeks – Céramiquelaan
#kamafotos

"Land was Owned by Billionaires Who Didn’t Allow Access to National Monument – Now it’s Open"
#Environment
https://www.goodnewsnetwork.…

Land was Owned by Billionaires Who Didn’t Allow Access to National Monument – Now it's Open
The private ranchland blocked a 3.8-mile access road to a large National Monument in Montana, which will now be opened by the nonprofit.

Explicit formulae for the Aicardi-Juyumaya bracket of tied links
O'Bryan C\'ardenas-Andaur, Juan Gonz\'alez-Meneses, Marithania Silvero
https://arxiv.org/abs/2510.02075

Explicit formulae for the Aicardi-Juyumaya bracket of tied links
The double bracket $\langle \langle \cdot \rangle \rangle$ (also known as the AJ-bracket) is an invariant of framed tied links that extends the Kauffman bracket of classical links. Unlike the classical setting, little is known about the structure of AJ-states (analogous to classical Kauffman states) of a given tied link diagram, and no general state-sum formula for the AJ-bracket is currently available. In this paper we analyze the AJ-states of $2$- and $3$-tied link diagrams, and provide a com…

NRW 1 führt nach zwei Siegen an den Brettern 4 und 8 2,5 zu 0,5.
Hessen, Bayern und S-A führen jeweils 1-0.
Zwischen NRW 2 und Berlin ist es erst zu einem Remisschluss gekommen.
Schleswig-Holstein geht auf der Gewinnerstraße und führt gegen den Nachbarn aus Hamburg mit 3 zu 1.
Wenigstens das Mannschaftsunentschieden haben die Niederländer sicher. Aktuell 4 BP bei noch drei laufenden Partien. Sachsen führt 2 zu 0 und das Saarland hat einen 3 zu 2 Vorsprung gegen Thüringen …

Space-Force-Raumgleiter testet Laserkommunikation und Quantensensoren im All
Der US-Raumgleiter X-37B startet heute zur 8. Mission für zwei neue Tests: Kommunikation im Weltraum per Laser und Unabhängigkeit von GPS durch Quantentechnik.

Amsterdam-Noord - Overhoeks – Céramiquelaan
#kamafotos