Tootfinder

Derzeit bewegt sich viel von Google hin zu Chatbots oder KI-Suchmaschinen.
Wer sich da als SEO nicht abhängen lassen will, sollte sich mal RankScale anschauen. Kommt aus Österreich und analysiert fast jede KI. Super Tool!
https://rankscale.ai/

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Antimagic labelings of a complete graph
Dr A. N. Bhavale
https://arxiv.org/abs/2506.15221 https://arxiv.org/pdf/2506.15221

Antimagic labelings of a complete graph
In $1990$, Hartsfield and Ringel introduced antimagic graphs. Hartsfield and Ringel conjectured that every connected graph (and in particular, a tree) except $K_2$ is antimagic. In $2010$, Hefetz et al.\ raised two questions: Is every orientation of any simple connected undirected graph antimagic? and Given any undirected graph $G$, does there exist an orientation of $G$ which is antimagic? They call such an orientation an {\it antimagic orientation} of $G$. Recently, Bhavale provided an edge l…

Die #Geothermie-Bohrung in #Krefeld zeigt, dass die #Kalksteinschicht unter der Stadt größer und wasserführender ist als gedacht.
Damit wird die Region für

From Model to Classroom: Evaluating Generated MCQs for Portuguese with Narrative and Difficulty Concerns
Bernardo Leite, Henrique Lopes Cardoso, Pedro Pinto, Abel Ferreira, Lu\'is Abreu, Isabel Rangel, Sandra Monteiro
https://arxiv.org/abs/2506.15598

From Model to Classroom: Evaluating Generated MCQs for Portuguese with Narrative and Difficulty Concerns
While MCQs are valuable for learning and evaluation, manually creating them with varying difficulty levels and targeted reading skills remains a time-consuming and costly task. Recent advances in generative AI provide an opportunity to automate MCQ generation efficiently. However, assessing the actual quality and reliability of generated MCQs has received limited attention -- particularly regarding cases where generation fails. This aspect becomes particularly important when the generated MCQs …

Zelf hield hij niet van ranglijsten, ook niet als hij ze aanvoerde.
https://archive.ph/WuXAw

Apple CarPlay Ultra hands-on: currently exclusive to Aston Martin, enhances center console integration, works smoothly with driver assist systems, and more (Michael Teo Van Runkle/Ars Technica)
https://arstechnica.com/cars/2025/07/everything-w…

Everything we learned from a week with Apple CarPlay Ultra
CarPlay Ultra takes over the main instrument display as well as the infotainment.

High-Entropy Skutterudites as Thermoelectrics: Synthesizability and Band Convergence via the Cocktail Effect
Jose J. Plata, Antonio Morales-Altarejos, Elena R. Remesal, Victor Posligua, Antonio M. M\'arquez
https://arxiv.org/abs/2506.15324

High-Entropy Skutterudites as Thermoelectrics: Synthesizability and Band Convergence via the Cocktail Effect
High entropy materials offer a promising avenue for thermoelectric materials discovery, design, and optimization. However, the large chemical spaces that need to be explored hamper their development. In this work, a large family of high-entropy skutterudites is explored as promising thermoelectric materials. Their synthesizability is screened and rationalized using the disordered enthalpy-entropy descriptor through high-throughput density functional theory calculations. In the case of high-entr…

Weighted Weak Type estimates for non-integral Square Functions
Dario Mena, Maria Carmen Reguera, Luz Roncal
https://arxiv.org/abs/2506.14897 https://

Weighted Weak Type estimates for non-integral Square Functions
We provide quantitative weighted weak type estimates for non-integral square functions in the critical case $p=2$ in terms of the $A_p$ and reverse Hölder constants associated to the weight. The method of proof uses a decoupling of the role of the weights via a quantitative version of Gehring's lemma. The results can be extended to other $p$ in the range of boundedness of the square function at hand.

Habe immer davon gesprochen, im Garten mal eine Reineclaude zu pflanzen, aber wie üblich nie gehandelt.
Jetzt waren die Nachbarn schneller! 🥰
Ob das noch etwas wird, bis die Früchte tragen? 🤷‍♂️

Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants
Leonhard Nagel
https://arxiv.org/abs/2507.12502

Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants
We establish the first quantitative Berry-Esseen bounds for edge eigenvector statistics in random regular graphs. For any $d$-regular graph on $N$ vertices with fixed $d \geq 3$ and deterministic unit vector $\mathbf{q} \perp \mathbf{e}$, we prove that the normalized overlap $\sqrt{N}\langle \mathbf{q}, \mathbf{u}_2 \rangle$ satisfies \[ \sup_{x \in \mathbb{R}} \left|\mathbb{P}\left(\sqrt{N}\langle \mathbf{q}, \mathbf{u}_2 \rangle \leq x\right) - Φ(x)\right| \leq C_d N^{-1/6+\varepsi…