Tootfinder

On the de Rham theorem in the globally subanalytic setting
Annette Huber, Tobias Kaiser, Abhishek Oswal
https://arxiv.org/abs/2508.03499 https://arxiv.org/…

On the de Rham theorem in the globally subanalytic setting
For globally subanalytic manifolds we define de Rham complexes of globally subanalytic differential forms and of constructible differential forms. Whereas the de Rham theorem does not hold for the former in the non-compact case, it does hold for the latter in full generality. We deduce that the constructible de Rham cohomology groups are canonically isomorphic to the classical ones. We stress that our results apply already in the $C^1$-setting.

Eric Trump says the TRUMP memecoin team and Magic Eden have canceled the $TRUMP Wallet; Trump's World Liberty Financial reportedly sent them a cease-and-desist (Jason Shubnell/The Block)
https://www.theblock.co/post/357350…

The Derivative of a Constructible Function is Constructible
Tobias Kaiser
https://arxiv.org/abs/2508.02517 https://arxiv.org/pdf/2508.02517

The Derivative of a Constructible Function is Constructible
The notion of constructible functions in the setting of tame real geometry has been introduced by Cluckers and Dan Miller in their work on parametric integration of globally subanalytic functions. A function on a globally subanalytic set is called constructible if it is a finite sum of finite products of globally subanalytic functions and the logarithm of positive globally subanalytic functions. We show that the class of constructible functions is stable under taking derivatives.

Dynamical axion fields coupled with one-dimensional spinless fermions
Yuto Hosogi, Koichiro Furutani, Yuki Kawaguchi
https://arxiv.org/abs/2508.02370 https://

Dynamical axion fields coupled with one-dimensional spinless fermions
We investigate coupled dynamics of spinless fermions on a one-dimensional lattice and spins on the links. When the hopping integral and the on-site potential of the fermions depend on the direction of the link spins, the low-energy effective theory predicts that the link spins behave as a dynamical axion field in 1+1 dimensions. The axion field $θ$ is coupled to the electric field $E$ as $θE$, through which the link spins rotate in response to the applied electric field or the chemical potent…

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Rio Kumeda, Yuya Haraguchi, Daisuke Nishio-Hamane, Akira Matsuo, Koichi Kindo, Hiroko Aruga Katori
https://arxiv.org/abs/2506.05099

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Metastable Co$_2$Ti$_3$O$_8$ was synthesized through a topochemical reaction using Li$_2$CoTi$_3$O$_8$ as the precursor, resulting in a vacancy-ordered spinel structure. Crystal structure analysis confirmed that Co ions selectively occupy the A-site, giving rise to a frustrated diamond lattice. Magnetic susceptibility and heat capacity measurements revealed antiferromagnetic order at 4.4 K, which is markedly suppressed compared to the negative Weiss temperature of ${\sim}-27$ K, indicating a hi…

Fields of — well, I think it's rye, but whadoIknow?

A Foundation Model for Chest X-ray Interpretation with Grounded Reasoning via Online Reinforcement Learning
Qika Lin, Yifan Zhu, Bin Pu, Ling Huang, Haoran Luo, Jingying Ma, Zhen Peng, Tianzhe Zhao, Fangzhi Xu, Jian Zhang, Kai He, Zhonghong Ou, Swapnil Mishra, Mengling Feng
https://arxiv.org/abs/2509.03906

A Foundation Model for Chest X-ray Interpretation with Grounded Reasoning via Online Reinforcement Learning
Medical foundation models (FMs) have shown tremendous promise amid the rapid advancements in artificial intelligence (AI) technologies. However, current medical FMs typically generate answers in a black-box manner, lacking transparent reasoning processes and locally grounded interpretability, which hinders their practical clinical deployments. To this end, we introduce DeepMedix-R1, a holistic medical FM for chest X-ray (CXR) interpretation. It leverages a sequential training pipeline: initiall…

Spinwheel, which helps fintech companies and banks authenticate users, automate data retrieval, and facilitate payments, raised a $30M Series A led by F-Prime (Ryan Lawler/Axios)
https://www.axios.com/pro/fintech-deals/2025/06/23/spinwheel-3…

Exclusive: Spinwheel raises $30M to streamline debt management
Debt management remains fragmented and difficult to connect

5 handstand push-ups, set 2. (Ties my record.) Wednesdays are usually my handstand and pike day.
#seniorfitness #nogym #calisthenics