Tootfinder

On injective endomorphisms of the semigroup $\boldsymbol{B}_{\mathbb{Z}}^{\mathscr{F}^2}$ with the two-element family $\mathscr{F}^2$ of inductive nonempty subsets of $\omega$
Oleg Gutik, Inna Pozdniakova
https://arxiv.org/abs/2508.21387

On injective endomorphisms of the semigroup $\boldsymbol{B}_{\mathbb{Z}}^{\mathscr{F}^2}$ with the two-element family $\mathscr{F}^2$ of inductive nonempty subsets of $ω$
We describe injective endomorphisms of the semigroup $\boldsymbol{B}_{Z\mathbb{}}^{\mathscr{F}^2}$ with the two-element family $\mathscr{F}^2$ of inductive nonempty subsets of $ω$. In particular we show that every injective endomorphism $\mathfrak{e}$ of $\boldsymbol{B}_{Z\mathbb{}}^{\mathscr{F}^2}$ is presented in the form $\mathfrak{e}=\mathfrak{e}_0\mathfrak{a}$, where $\mathfrak{e}_0$ is an injective $(0,0,[0))$-endomorphism of $\boldsymbol{B}_{\mathbb{Z}}^{\mathscr{F}^2}$ and $\mathfrak{a…

Nonuniform water distribution in Jupiter’s midlatitudes - influence of precipitation and planetary rotation: #Jupiter

Nonuniform Water Distribution in Jupiter's Mid Latitudes: Influence of Precipitation and Planetary Rotation
Huazhi Ge, Cheng Li, Xi Zhang, Andrew P. Ingersoll, Sihe Chen
https://arxiv.org/abs/2509.25610

Nonuniform Water Distribution in Jupiter's Mid Latitudes: Influence of Precipitation and Planetary Rotation
Knowing the composition of Jupiter's atmosphere is crucial for constraining Jupiter's bulk metallicity and formation history. Yet, constraining Jupiter's atmospheric water abundance is challenging due to its potential non-uniform distribution. Here, we explicitly resolve the water hydrological cycle in Jupiter's mid-latitudes using high-resolution simulations. Falling precipitation leads to a significant large-scale depletion of water vapor beneath the lifting condensation level. A non-uniform …

Is there any evidence that a brain implant for restoring vision will give more functional vision than a noninvasive sensory substitution device?
Grok's answer: https://x.com/i/grok/share/qqXguBGin6FDIab7ra6pwdtm2 "No, there is no evidence"
ChatGPT's an…

Is there any evidence that a brain implant for restoring vision will give more functional vision than a noninvasive sensory substitution device? Don't speculate. https://www.youtube.com/playlist?list=PLmrvukzbS44SMVxMLRpd-_iTpy_Cj5liB
No, there is no evidence from current studies or comparisons that brain implants for vision restoration provide more functional vision than noninvasive sensory substitution devices. Available direct comparisons, such as those examining retinal or cortical implants (e.g., Argus II) against devices like The vOICe, indicate the opposite: noninvasive options demonstrate broader functional outcomes in tasks like object recognition, grasping, and navigation, with better resolution, field of view, and…

Hybrid EEG--Driven Brain--Computer Interface: A Large Language Model Framework for Personalized Language Rehabilitation
Ismail Hossain, Mridul Banik
https://arxiv.org/abs/2507.22892

Hybrid EEG--Driven Brain--Computer Interface: A Large Language Model Framework for Personalized Language Rehabilitation
Conventional augmentative and alternative communication (AAC) systems and language-learning platforms often fail to adapt in real time to the user's cognitive and linguistic needs, especially in neurological conditions such as post-stroke aphasia or amyotrophic lateral sclerosis. Recent advances in noninvasive electroencephalography (EEG)--based brain-computer interfaces (BCIs) and transformer--based large language models (LLMs) offer complementary strengths: BCIs capture users' neural intent w…

General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization
Kay Barshad, Yair Censor
https://arxiv.org/abs/2507.00717

General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization
In this paper we introduce a General Dynamic String-Averaging (GDSA) iterative scheme and investigate its convergence properties in the inconsistent case, that is, when the input operators don't have a common fixed point. The Dynamic String-Averaging Projection (DSAP) algorithm itself was introduced in an 2013 paper, where its strong convergence and bounded perturbation resilience were studied in the consistent case (that is, when the sets under consideration had a nonempty intersection). Resul…

Susceptibilities of rotating quark matter in Fourier-Bessel basis
Mamiya Kawaguchi, Kazuya Mameda
https://arxiv.org/abs/2507.00494 https://

Susceptibilities of rotating quark matter in Fourier-Bessel basis
We analyze various two-point correlation functions of fermionic bilinears in a rotating finite-size cylinder at finite temperatures, with a focus on susceptibility functions. Due to the noninvariance of radial translation, the susceptibility functions are constructed using the Dirac propagator in the Fourier-Bessel basis instead of the plane-wave basis. As a specific model to demonstrate the susceptibility functions in an interacting theory, we employ the two-flavor Nambu-Jona-Lasinio model. We…

Black Holes as Non-Abelian Anyon Condensates: Nonthermal Spectrum and Implications for the Information Paradox
Sabin Roman
https://arxiv.org/abs/2507.23457 https://

Black Holes as Non-Abelian Anyon Condensates: Nonthermal Spectrum and Implications for the Information Paradox
We model black holes as condensates of non-Abelian anyons forming a topologically ordered shell at the horizon. Combined with area quantization, the constrained fusion Hilbert space yields a discrete entropy spectrum consistent with the Bekenstein-Hawking area law. Assuming a quantized mass spectrum with nonuniform gaps, we derive a nonthermal radiation profile with a corrected Hawking temperature and entropy, including logarithmic and inverse-area corrections. This framework localizes quantum …

Nuclear Matter and Finite Nuclei: Relativistic Thomas-Fermi Approximation Versus Relativistic Mean-Field Approach
Shuying Li, Hong Shen, Jinniu Hu
https://arxiv.org/abs/2507.23587

Nuclear Matter and Finite Nuclei: Relativistic Thomas-Fermi Approximation Versus Relativistic Mean-Field Approach
The Thomas-Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is assumed to be composed of a lattice of heavy nuclei surrounded by dripped nucleons, and the Wigner-Seitz cell is commonly introduced to simplify the calculations. The self-consistent Thomas--Fermi approximation can be employed to study both a nucleus surrounded b…

Feedback promotes efficient-coding while attenuating bias in recurrent neural networks
Holly Kular, Robert Kim, John Serences, Nuttida Rungratsameetaweemana
https://arxiv.org/abs/2509.23104

Feedback promotes efficient-coding while attenuating bias in recurrent neural networks
Studies of human decision-making demonstrate that environmental regularities, such as natural image statistics or intentionally nonuniform stimulus probabilities, can be exploited to improve efficiency (termed `efficient-coding'). Conversely, from a machine learning perspective, such nonuniform stimulus properties can lead to biased neural networks with poor generalization performance. Understanding how the brain flexibly leverages stimulus bias while maintaining robust generalization could lea…