Tootfinder

Elements of #Rust – Core Types and Traits
https://rustcurious.com/elements/

Adjoining universal inverses to families of elements of free monoids
George M. Bergman
https://arxiv.org/abs/2510.07617 https://arxiv.org/pdf/2510.07617

Adjoining universal inverses to families of elements of free monoids
Let $$ be the free monoid on a generating set $X$, and suppose one adjoins to $$ universal 2-sided inverses to a finite set $S$ of its elements. We note an elementary algorithm which yields a normal form for elements of the resulting monoid $M$. We then show that if $S$ is allowed to be infinite, a similar normal form exists, though it cannot necessarily be computed algorithmically. We raise a couple of questions. We note work by others on the related topic of monoids presented by f…

So what is the deal with companies that send you extra products? I ordered two Awair Element air monitors in August and received them. Today, another box showed up with two more. No packing slip or order information. I haven't been billed for them (that I can find).
Do I just keep them? Seems weird. I'm guessing some sort of glitch caused them to reship the order.

AI-Driven Post-Quantum Cryptography for Cyber-Resilient V2X Communication in Transportation Cyber-Physical Systems
Akid Abrar, Sagar Dasgupta, Mizanur Rahman, Ahmad Alsharif
https://arxiv.org/abs/2510.08496

AI-Driven Post-Quantum Cryptography for Cyber-Resilient V2X Communication in Transportation Cyber-Physical Systems
Transportation Cyber-Physical Systems (TCPS) integrate physical elements, such as transportation infrastructure and vehicles, with cyber elements via advanced communication technologies, allowing them to interact seamlessly. This integration enhances the efficiency, safety, and sustainability of transportation systems. TCPS rely heavily on cryptographic security to protect sensitive information transmitted between vehicles, transportation infrastructure, and other entities within the transporta…

Sum of elements preceding records in set partitions
Walaa Asakly, Noor Kezil
https://arxiv.org/abs/2510.06521 https://arxiv.org/pdf/2510.06521

Sum of elements preceding records in set partitions
In this paper, we aim to derive an explicit formula for the total number of elements preceding records over all set partitions of $[n]$ with exactly $k$ blocks, as well as an asymptotic estimate for the total sum of elements preceding records in all set partitions of $[n]$, expressed in terms of Bell numbers. To achieve this, we analyze the generating function that enumerates set partitions of $[n]$ according to this statistic, which we denote by $\sumelements$.

Trump Threatens Higher Tariffs on China Citing Restrictions on Rare-Earth Elements
President signals other possible economic countermeasures, adding there is no reason to meet with Xi at APEC summit
The Dow is already down more than 300 points
https://www.

Anticyclotomic diagonal classes and Beilinson--Flach elements
Ra\'ul Alonso, Lois Omil-Pazos, \'Oscar Rivero
https://arxiv.org/abs/2509.07564 https://

Anticyclotomic diagonal classes and Beilinson--Flach elements
We present a comparison between the anticyclotomic Euler system of diagonal cycles associated with the convolution of two modular forms and the cyclotomic Beilinson--Flach Euler system. This extends the seminal work of Bertolini, Darmon, and Venerucci, who established a link between (anticyclotomic) Heegner points and the Beilinson--Kato system. Our approach hinges on a detailed analysis of $p$-adic $L$-functions and Perrin-Riou maps and exploits the Eisenstein degeneration of diagonal cycles a…

Peek 🔲
窥 🔲
📷 Pentax MX
🎞️Ilford FP4 Plus, expired 1994
buy me ☕️ ?/请我喝杯☕️？
#filmphotography

Trump to Hit China With Additional 100% Tariff, Citing Restrictions on Rare-Earth Elements (Wall Street Journal)
https://www.wsj.com/politics/policy/trump-china-tariffs-rare-earths-xi-meeting-8053c81a
http://www.memeorandum.com/251010/p155#a251010p155

I had started another visualization tool, this time for page tables - and so I did a live stream on it. If you want to watch me creating UI elements for that, writing the functions to translate a set of tables into graphs and such, go check it out! 🧑‍💻
https://www.youtube.com/watch?…

Generalized eigenvalue stabilization for immersed explicit dynamics
Tim B\"urchner, Lars Radtke, Sascha Eisentr\"ager, Alexander D\"uster, Ernst Rank, Stefan Kollmannsberger, Philipp Kopp
https://arxiv.org/abs/2509.07632

Generalized eigenvalue stabilization for immersed explicit dynamics
Explicit time integration for immersed finite element discretizations severely suffers from the influence of poorly cut elements. In this contribution, we propose a generalized eigenvalue stabilization (GEVS) strategy for the element mass matrices of cut elements to cure their adverse impact on the critical time step size of the global system. We use spectral basis functions, specifically $C^0$ continuous Lagrangian interpolation polynomials defined on Gauss-Lobatto-Legendre (GLL) points, which…

sunset over marquette bay
#lakesuperior

Series D, Episode 03 - Traitor
GENERAL: Hunda is a rebel leader.
LEITZ: Yes. He managed to get into the city. You see, since I arrived here I've been coordinating the resistance. I've kept in contact with all the rebel columns.
https://blake.torpidity.net/m/403/353 B7B5

Narrative-Guided Reinforcement Learning: A Platform for Studying Language Model Influence on Decision Making
Anup Tuladhar, Araz Minhas, Adam Kirton, Eli Kinney-Lang
https://arxiv.org/abs/2509.08785

Narrative-Guided Reinforcement Learning: A Platform for Studying Language Model Influence on Decision Making
We present a preliminary experimental platform that explores how narrative elements might shape AI decision-making by combining reinforcement learning (RL) with language model reasoning. While AI systems can now both make decisions and engage in narrative reasoning, these capabilities have mostly been studied separately. Our platform attempts to bridge this gap using a dual-system architecture to examine how narrative frameworks could influence reward-based learning. The system comprises a rein…

Comparison of the propulsion of helical microrobots based on hard- and soft-magnetic elements under rotating external magnetic fieldsv
Joost Wijnmalen, Leon Abelmann, Iulian Apachitei
https://arxiv.org/abs/2509.07959

Comparison of the propulsion of helical microrobots based on hard- and soft-magnetic elements under rotating external magnetic fieldsv
This study compares the propulsion of helical microrobots based on hard- and soft-magnetic elements under rotating magnetic fields. Results show that hard-magnetic microrobots achieved step-out frequencies and maximum propulsion speeds 4.5 times higher than soft-magnetic microrobots. Below saturation magnetization, soft-magnetic micro-robots demonstrated similar performance irrespective of magnetic susceptibility, high-lighting that torque generation in these materials is purely geometry-depend…

Two Stage Context Learning with Large Language Models for Multimodal Stance Detection on Climate Change
Lata Pangtey, Omkar Kabde, Shahid Shafi Dar, Nagendra Kumar
https://arxiv.org/abs/2509.08024

Two Stage Context Learning with Large Language Models for Multimodal Stance Detection on Climate Change
With the rapid proliferation of information across digital platforms, stance detection has emerged as a pivotal challenge in social media analysis. While most of the existing approaches focus solely on textual data, real-world social media content increasingly combines text with visual elements creating a need for advanced multimodal methods. To address this gap, we propose a multimodal stance detection framework that integrates textual and visual information through a hierarchical fusion appro…

A Wigner Matrix Based Convolution Algorithm For Matrix Elements in the LCAO Method
Tyler C. Sterling
https://arxiv.org/abs/2510.06285 https://arxiv.org/pdf…

A Wigner Matrix Based Convolution Algorithm For Matrix Elements in the LCAO Method
The linear combination of atomic orbitals (LCAO) method uses a small basis set in exchange for expensive matrix element calculations. The most efficient approximation for the matrix element calculations is the two-center approximation (2CA) in tight binding (TB). In the 2CA, a variety of matrix elements are neglected with only "two-center integrals" (2CI) remaining. The 2CI are calculated efficiently by rotating to symmetrical coordinates where the integral is parameterized. This makes TB fast …

Biased Tales: Cultural and Topic Bias in Generating Children's Stories
Donya Rooein, Vil\'em Zouhar, Debora Nozza, Dirk Hovy
https://arxiv.org/abs/2509.07908 https://

Biased Tales: Cultural and Topic Bias in Generating Children's Stories
Stories play a pivotal role in human communication, shaping beliefs and morals, particularly in children. As parents increasingly rely on large language models (LLMs) to craft bedtime stories, the presence of cultural and gender stereotypes in these narratives raises significant concerns. To address this issue, we present Biased Tales, a comprehensive dataset designed to analyze how biases influence protagonists' attributes and story elements in LLM-generated stories. Our analysis uncovers stri…

Printegrated Circuits: Personal Fabrication of 3D Printed Devices with Embedded PCBs
Oliver Child, Ollie Hanton, Jack Dawson, Steve Hodges, Mike Fraser
https://arxiv.org/abs/2509.08459

Printegrated Circuits: Personal Fabrication of 3D Printed Devices with Embedded PCBs
Consumer-level multi-material 3D printing with conductive thermoplastics enables fabrication of interactive elements for bespoke tangible devices. However, large feature sizes, high resistance materials, and limitations of printable control circuitry mean that deployable devices cannot be printed without post-print assembly steps. To address these challenges, we present Printegrated Circuits, a technique that uses traditional electronics as material to 3D print self-contained interactive object…

Minimal elements in the skew extended 0-Hecke poset
Nadia Lafreni\`ere. Rosa Orellana, Anna Pun, Sheila Sundaram, Stephanie van Willigenburg, Tamsen Whitehead McGinley
https://arxiv.org/abs/2509.05918 …

Minimal elements in the skew extended 0-Hecke poset
The row-strict 0-Hecke action on standard immaculate skew tableaux was studied by the present authors, who showed that it gives rise to a bounded poset, called the \emph{skew immaculate Hecke poset}, and consequently to a cyclic 0-Hecke module. It was further shown that the subposet of skew standard extended immaculate tableaux always has a unique maximal element, but may have multiple minimal elements. In this paper we focus on these minimal elements, completely classifying them for a family o…

Shortcuts to adiabaticity with a quantum control field
Emma C. King, Giovanna Morigi, Rapha\"el Menu
https://arxiv.org/abs/2508.06304 https://arxiv.or…

Shortcuts to adiabaticity with a quantum control field
Quantum adiabatic dynamics is the crucial element of adiabatic quantum computing and quantum annealing. Shortcuts to adiabaticity enable acceleration of the computational time by suppressing unwanted non-adiabatic processes with designed classical fields. Here, we consider quantum state transfer in the Landau-Zener model, which exemplifies the key elements of quantum adiabatic dynamics. We argue that non-adiabatic transitions can be suppressed by autonomous quantum dynamics, which involves coup…

A Generalisation of Niven's Theorem for Trigonometric Functions
Adam Keilthy, Ailbhe N\'i Ruair\'i
https://arxiv.org/abs/2508.06415 https://arx…

A Generalisation of Niven's Theorem for Trigonometric Functions
Niven's Theorem asserts that $\{\cos(rπ)|r\in \mathbb{Q}\}\cap\mathbb{Q} = \{0, \pm 1, \pm\frac{1}{2}\}$. This paper uses elementary methods to classify all elements in the sets $\{\cos^n(rπ)|r\in \mathbb{Q}, n \in \mathbb{N}\}\cap\mathbb{Q}$ and $\{\sin^n(rπ)|r\in \mathbb{Q}, n \in \mathbb{N}\}\cap\mathbb{Q}$. Using some algebraic number theory, we extend this to a classification of all elements in $\{\tan^n(rπ)|r\in \mathbb{Q}, n \in \mathbb{N}\}\cap\mathbb{Q}$. Finall…

from my link log —
A new approach to analyzing Robin Hood hashing. (2014)
https://arxiv.org/abs/1401.7616
saved 2025-10-05 https://dotat.at/:/HOGQW.html…

A New Approach to Analyzing Robin Hood Hashing
Robin Hood hashing is a variation on open addressing hashing designed to reduce the maximum search time as well as the variance in the search time for elements in the hash table. While the case of insertions only using Robin Hood hashing is well understood, the behavior with deletions has remained open. Here we show that Robin Hood hashing can be analyzed under the framework of finite-level finite-dimensional jump Markov chains. This framework allows us to re-derive some past results for the in…

Languages of Words of Low Automatic Complexity Are Hard to Compute
Joey Chen, Bj{\o}rn Kjos-Hanssen, Ivan Koswara, Linus Richter, Frank Stephan
https://arxiv.org/abs/2510.07696 …

Languages of Words of Low Automatic Complexity Are Hard to Compute
The automatic complexity of a finite word (string) is an analogue for finite automata of Sipser's distinguishing complexity (1983) and was introduced by Shallit and Wang (2001). For a finite alphabet $Σ$ of at least two elements, we consider the non-deterministic automatic complexity given by exactly - yet not necessarily uniquely - accepting automata: a word $x \in Σ^*$ has exact non-deterministic automatic complexity $k \in \mathbb{N}$ if there exists a non-deterministic automaton of $k$ st…

Prime Order Element Graph of a Group -- II
Tapa Manna, Sauvik Poddar, Angsuman Das, Baby Bhattacharya
https://arxiv.org/abs/2508.06222 https://arxiv.org/pd…

Prime Order Element Graph of a Group -- II
In this sequel paper, we continue the analysis of the prime order element graph $Γ(G)$ of a finite group $G$, where vertices are elements of $G$ and edges connect distinct elements $x, y$ satisfying $\circ(xy) = p$ for some prime $p$. Our investigation focuses on the adjacency and Laplacian spectra, planarity, and clique number of this graph. We conclude by outlining open issues and potential directions for future investigations.

Flexible Intelligent Metasurface for Reconfiguring Radio Environments
Hanwen Hu, Jiancheng An, Lu Gan, Naofal Al-Dhahir
https://arxiv.org/abs/2510.07466 https://

Flexible Intelligent Metasurface for Reconfiguring Radio Environments
Flexible intelligent metasurface (FIM) technology holds immense potential for increasing the spectral efficiency and energy efficiency of wireless networks. In contrast to traditional rigid reconfigurable intelligent surfaces (RIS), an FIM consists of an array of elements, each capable of independently tuning electromagnetic signals, while flexibly adjusting its position along the direction perpendicular to the surface. In contrast to traditional rigid metasurfaces, FIM is capable of morphing i…

A stud of 2-periodic weft-knitted textiles using the theory of knots and links
Miriam Kuzbary, Shashank G. Markande, Elisabetta A. Matsumoto, Stanley Pritchard
https://arxiv.org/abs/2510.08384

A stud of 2-periodic weft-knitted textiles using the theory of knots and links
In this study, we use a correspondence between two-periodic weft-knitted textiles and links in the thickened torus to study the former using link invariants. We establish a criterion to identify the set of links whose elements are realized through techniques of weft-knitting leading to new, unconventional types of weft-knitting stitch patterns. A crucial topological underpinning of these links is shown to be their correspondence with ribbon knots and links in Euclidean three-space and equivalen…

Facebook is revamping its classic Poke feature to be easier to use and include gamification elements similar to Snapchat and TikTok as it courts younger users (Sarah Perez/TechCrunch)
https://techcrunch.com/2025/09/04/facebook-is-trying-to-make-pokes-happen-a…

Facebook is trying to make 'pokes' happen again | TechCrunch
The poke-tracking feature is largely designed to appeal to younger users who have grown up with gamification elements built into their social apps, like Snapchat and TikTok Streaks.

Exclusive $\mathrm{J}/\psi$ production off a dilute proton within a refined hotspot description
Heikki M\"antysaari (Department of Physics, University of Jyv\"askyl\"a, Finland, Helsinki Institute of Physics, Finland), Anh Dung Le (Department of Physics, University of Jyv\"askyl\"a, Finland, Helsinki Institute of Physics, Finland)
https…

Exclusive $\mathrm{J}/ψ$ production off a dilute proton within a refined hotspot description
We revisit the calculation of exclusive $\mathrm{J}/ψ$ production in electron-proton scattering within the QCD dipole model, employing a refined description of the proton in terms of gluonic hot spots in the dilute regime. In contrast to earlier studies, we incorporate key missing elements: the event-by-event fluctuations in both the number of hot spots and their local saturation scales, as well as the first relativistic corrections to the $\mathrm{J}/ψ$ wave function. We perform a Bayesian a…

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting
Daryl R. DeFord, Gregory Herschlag, Jonathan C. Mattingly
https://arxiv.org/abs/2509.08629 https://

A Cycle Walk for Sampling Measures on Spanning Forests for Redistricting
We introduce a new Markov Chain called the Cycle Walk for sampling measures of graph partitions where the partition elements have roughly equal size. Such Markov Chains are of current interest in the generation and evaluation of political districts. We present numerical evidence that this chain can efficiently sample target distributions that have been difficult for existing sampling Markov chains.

Mergers Fall Short: Non-merger Channels Required for Galactic Heavy Element Production
Muhammed Saleem, Hsin-Yu Chen, Daniel M. Siegel, Philippe Landry, Jocelyn S. Read, Kaile Wang
https://arxiv.org/abs/2508.06020

Mergers Fall Short: Non-merger Channels Required for Galactic Heavy Element Production
Since the discovery of the binary neutron star merger GW170817 and its associated kilonova, neutron star mergers have been established as a key production channel for $r$-process elements in the Universe. However, observations of $r$-process abundances as inferred from stellar spectra of Milky Way disk stars, together with chemical evolution modeling, suggest that additional channels are needed to fully account for the $r$-process element enrichment in the Milky Way. Neutron star-black hole mer…

Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer
Paul Moujaes, Dmitri Kuzmin, Christian B\"aumer
https://arxiv.org/abs/2509.07689

Realizability-preserving monolithic convex limiting in continuous Galerkin discretizations of the M1 model of radiative transfer
We discretize the $M_1$ model of radiative transfer using continuous finite elements and propose a tailor-made monolithic convex limiting (MCL) procedure for enforcing physical realizability. The $M_1$ system of nonlinear balance laws for the zeroth and first moments of a probability distribution function is derived from the linear Boltzmann equation and equipped with an entropy-based closure for the second moment. To ensure hyperbolicity and physical admissibility, evolving moments must stay i…

Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
Alexandre Zalesski
https://arxiv.org/abs/2509.05770 https://

Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
We determine the irreducible representations of alternating and symmetric groups and their universal central extensions that contain a non-scalar element with all but one eigenvalues of multiplicity 1. The ground field is algebraically closed of arbitrary characteristic.

Kinetic description of one-dimensional stochastic dynamics with small inertia
Denis S. Goldobin, Lyudmila S. Klimenko, Irina V. Tyulkina, Vasily A. Kostin, Lev A. Smirnov
https://arxiv.org/abs/2510.08502

Kinetic description of one-dimensional stochastic dynamics with small inertia
We study single-variable approaches for describing stochastic dynamics with small inertia. The basic models we deal with describe passive Brownian particles and phase elements (phase oscillators, rotators, superconducting Josephson junctions) with an effective inertia in the case of a linear dissipation term and active Brownian particles in the case of a nonlinear dissipation. Elimination of a fast variable (velocity) reduces the characterization of the system state to a single variable and is …

Composition of planetary debris around the white dwarf GD 362
William T. Reach, Mukremin Kilic, Carey M. Lisse, John H. Debes, Ted von Hippel, Bianca Azartash-Namin, Loic Albert, Susan E. Mullally, Fergal Mullally, Misty Cracraft, Madison Bernice, Selin L. Erickson
https://arxiv.org/abs/2510.07595 …

Composition of planetary debris around the white dwarf GD 362
White dwarf stars with high abundances of heavy elements in their atmospheres and infrared excesses are believed to be accreting planetary material. GD 362 is one of the most heavily polluted white dwarfs and has an exceptionally strong mid-infrared excess, reprocessing 2.4% of the star's light into the mid-infrared. We present a high signal-to-noise, medium-resolution spectrum of GD 362 obtained with JWST, covering 0.6 to 17 microns, along with photometry out to 25.5 microns. The mid-infrared …

This weekend is the last chance to say goodbye to our local West Montrose Covered Bridge ("Kissing Bridge"). The historic 145 year old span of the Grand River is the last remaining original one in #Ontario. It will be replaced over the next 2 years by a rebuilt covered bridge, with hopefully many of the original elements reused.

Just finished "Be That Way" by Hope Larson. An excellent semi-graphic-novel about highschool friendships & romances, written as a diary including many illustrations but also a lot of prose. Has a pretty open ending just like "Freshman Year" did, and it's interesting how they both hit a lot of the same themes, despite their differences. Despite being from a slightly younger age group, and having had a totally different highschool experience, a lot of the '90s elements resonated with me.
#AmReading #GraphicNovel

Random Trajectory Models for Complex Phenomena
Jeffrey D. Picka
https://arxiv.org/abs/2509.06963 https://arxiv.org/pdf/2509.06963

Random Trajectory Models for Complex Phenomena
Many models for complex phenomena use a model for strongly-interacting elements on a small scale to generate larger-scale simulations of some aspects of experimental realizations. These models may be agent-based (as in the case of discrete element method models for granular flow) or based on pattern-forming systems of PDEs (as in models for Raleigh-Bènard convection patterns). Often these models are purely deterministic, producing a single simulation for each set of initial conditions. If obse…

Formation of organic hazes in CO$_2$-rich sub-Neptune atmospheres within the graphite-stability regime
Sai Wang, Zhengbo Yang, Chao He, Haixin Li, Yu Liu, Yingjian Wang, Xiao'ou Luo, Sarah E. Moran, Cara Pesciotta, Sarah M. H\"orst, Julianne I. Moses, V\'eronique Vuitton, Laur\`ene Flandinet
https://arxiv.org/abs/2508.05974

Formation of organic hazes in CO$_2$-rich sub-Neptune atmospheres within the graphite-stability regime
Super-Earths and sub-Neptunes are the most common exoplanets, with a "radius valley" suggesting that super-Earths may form by shedding sub-Neptunes' gaseous envelopes. Exoplanets that lie closer to the super-Earth side of the valley are more likely to have lost a significant fraction of their original H/He envelopes and become enriched in heavier elements with CO$_2$ gaining in abundance. It remains unclear which types of haze would form in such atmospheres, potentially significantly affecting …

On the structure and dynamics of secondary flows over multi-column roughness in turbulent boundary layers
A. S. Sathe, W. Anderson, M. Calaf, M. G. Giometto
https://arxiv.org/abs/2508.05889

On the structure and dynamics of secondary flows over multi-column roughness in turbulent boundary layers
Secondary flows induced by spanwise heterogeneous surface roughness play a crucial role in determining engineering-relevant metrics such as surface drag, convective heat transfer, and the transport of airborne scalars. While much of the existing literature has focused on idealized configurations with regularly spaced roughness elements, real-world surfaces often feature irregularities, clustering, and topographic complexity for which the secondary flow response remains poorly understood. To add…

Percolative properties of the random coprime colouring
Samuel Le Fourn, Mike Liu, S\'ebastien Martineau
https://arxiv.org/abs/2509.08452 https://arxiv.…

Percolative properties of the random coprime colouring
Given $u$ and $v$ in $\mathbb{Z}^d$, say that $u$ is visible from $v$ if the segment from $u$ to $v$ contains exactly two elements, which are $u$ and $v$. Take $X$ "uniformly at random in $\mathbb{Z}^d$" and colour each vertex $u$ of $\mathbb{Z}^d$ in white if $u$ is visible from $X$ and in black otherwise. Previous independent works of Pleasants-Huck and of the third author give a precise meaning to this definition. This paper is dedicated to the study of this random colouring from the point o…

Series D, Episode 07 - Assassin
NEBROX: You don't want him Lady! Take me [rushes forward and kneels in front of her] take me, Lady. I'm strong, I won't let you down.
BENOS: Silly old fool. [hauls him to his feet]
https://blake.torpidity.net/m/407/167 B7B6

lolwut wow #TIL #HTML #WebDev

The Space-Time Connectivity Theorem for Normal Currents
Paolo Bonicatto, Filip Rindler, Harry Turnbull
https://arxiv.org/abs/2510.08360 https://arxiv.org/p…

The Space-Time Connectivity Theorem for Normal Currents
This work establishes a Space-Time Connectivity Theorem for normal currents. In analogy to classical results by Federer and Fleming as well as a recent theorem for integral currents by the second author, this result allows one to witness the weak* convergence of a uniformly bounded sequence of boundaryless normal currents with a space-time normal current that connects the elements of the sequence with their limit. The space-time setting is distinguished from the classical case in that this conn…

Sections in an #aspnetcore app get processed in the order they appear on the Layout, not within the page's lifecycle. That means any elements in the section will only get processed based on their location in the Layout, not as part of the page processing.

An update on the existence of integer Heffter arrays
Fiorenza Morini, Marco Antonio Pellegrini
https://arxiv.org/abs/2510.08302 https://arxiv.org/pdf/2510.…

An update on the existence of integer Heffter arrays
An integer Heffter array $H(m,n;s;k)$ is an $m\times n$ partially filled array whose entries are the elements of a subset $Ω\subset \mathbb{Z}$ such that $\{Ω,-Ω\}$ is a partition of the set $\{1,2,\ldots,2nk\}$ and such that the following conditions are satisfied: each row contains $s$ filled cells, each column contains $k$ filled cells, the elements in every row and column add up to $0$. It was conjectured by Dan Archdeacon that an integer $\H(m,n;s;k)$ exists if and only if $ms=nk$, $3\le…

Spans and convex combinations of boundary-valued continuous functions
Alexandru Chirvasitu
https://arxiv.org/abs/2510.07857 https://arxiv.org/pdf/2510.0785…

Spans and convex combinations of boundary-valued continuous functions
For an $(n\ge 2)$-dimensional real Banach space $E$ with unit ball $E_{\le 1}$ and a topological space $X$ arbitrary elements in $C(X,E_{\le 1})$ are always expressible as linear combinations of at most three functions valued in the unit sphere $\partial E_{\le 1}$. On the other hand, for normal $X$, $C(X,E_{\le 1})$ can only be the convex hull of $C(X,\partial E_{\le 1})$ if the covering dimension of $X$ is strictly smaller than $\dim E$. A variant of this remark is the characterization of nor…

Boundary representations, geometry of matrix ranges, and C$^*$-envelopes of finite-dimensional operator systems
Douglas Farenick, Chi-Kwong Li, Sushil Singla
https://arxiv.org/abs/2510.08322

Boundary representations, geometry of matrix ranges, and C$^*$-envelopes of finite-dimensional operator systems
An analysis of the boundary representations and C$^*$-envelopes of some finite-dimensional operator systems $\mathcal R$ is undertaken by considering relationships between operator-theoretic properties of a $d$-tuple $\mathfrak x=(x_1,\dots, x_d)$ of elements in a unital C$^*$-algebra $\mathcal A$ and operator-system properties of the linear span $\mathcal O_{\mathfrak x}$ of $\{1_\mathcal A,x_1,x_1^*,\dots,x_d,x_d^*\}$. This approach lends itself well to the study of certain phenomena in singl…

Carbon burning at stellar energies
S. Courtin, M. Heine, E. Monpribat, J. Nippert
https://arxiv.org/abs/2510.08206 https://arxiv.org/pdf/2510.08206

Carbon burning at stellar energies
Fusion reactions with light nuclei play an essential role in understanding the energy production, the nucleosynthesis of chemical elements and the evolution of massive stars. The measurement of key fusion reactions at stellar energies is thus of interest, but highly challenging since the associated cross sections are extremely small, of the sub-nanobarn range. Among these reactions, the fusion of carbon nuclei, which drives the stellar carbon burning phase, is deeply connected with essential mi…

StimulHeat: a Low-Energy Wearable Thermal Feedback Device Using Peltier Elements with Heat Flow Controlled Loop for Hand Interactions in Virtual Reality
Matthieu Mesnage, Sophie Villenave, Bertrand Massot, Matthieu Blanchard, Pierre Raimbaud, Guillaume Lavou\'e, Claudine Gehin
https://arxiv.org/abs/2509.05020

StimulHeat: a Low-Energy Wearable Thermal Feedback Device Using Peltier Elements with Heat Flow Controlled Loop for Hand Interactions in Virtual Reality
Nowadays, the majority of wearable thermal feedback systems designed for use in virtual reality applications are not compatible or not integrated to standard controllers and are based on temperature control. The objectives of the present work is to enable integration with existing controllers, in this case Valve Index controllers, and to propose an alternative approach to managing thermal stimulation with Peltier modules by controlling heat flow instead of temperature. We introduce StimulHeat a…

All the premises (axioms?) of Liquid Glass design are weird and wrong.
Especially the basic premise of "content is more important than the user interface".
Not even going into how the moniker "content" devalues creative human work—the real problem about this is that it's simply bullshit.
In human-computer interaction content and the user interface to interact with it are normally equally important—with the interaction elements becoming _more important_ while an interaction is either imminent or taking place.
The most basic thing is to make buttons look like buttons and not change how they look like depending on what's behind them, as well as not make them move around so you can easily recognize, find and tap or click them.

Energy and information: a chronicle of hesitations on the role of the observer in physics
Didier Lairez
https://arxiv.org/abs/2509.06957 https://arxiv.org/…

Energy and information: a chronicle of hesitations on the role of the observer in physics
Energy has no definition, except that given by a conservation principle which essentially amounts to defining it as the elements of an open list of unknown cardinality. Entropy, identified by Shannon as information we lack, has too many definitions. This results in an unstable and hesitant interpretation of their link. Thermodynamics, the science of changes in form of energy, is phenomenological, all its laws are induced from observation. From the origin, the concept of energy is linked to th…

Unsupervised Learning based Element Resource Allocation for Reconfigurable Intelligent Surfaces in mmWave Network
Pujitha Mamillapalli, Yoghitha Ramamoorthi, Abhinav Kumar, Tomoki Murakami, Tomoaki Ogawa, Yasushi Takatori
https://arxiv.org/abs/2509.03241

Unsupervised Learning based Element Resource Allocation for Reconfigurable Intelligent Surfaces in mmWave Network
The increasing demand for high data rates and seamless connectivity in wireless systems has sparked significant interest in reconfigurable intelligent surfaces (RIS) and artificial intelligence-based wireless applications. RIS typically comprises passive reflective antenna elements that control the wireless propagation environment by adequately tuning the phase of the reflective elements. The allocation of RIS elements to multipleuser equipment (UEs) is crucial for efficiently utilizing RIS. In…

Moody Urbanity - Oracles 🈳
情绪化城市 - 谕 🈳
📷 Nikon FE
🎞️ Ilford HP5 Plus 400, expired 1993
#filmphotography #Photography #blackandwhite

SpecifyUI: Supporting Iterative UI Design Intent Expression through Structured Specifications and Generative AI
Yunnong Chen, Chengwei Shi, Liuqing Chen
https://arxiv.org/abs/2509.07334

SpecifyUI: Supporting Iterative UI Design Intent Expression through Structured Specifications and Generative AI
Large language models (LLMs) promise to accelerate UI design, yet current tools struggle with two fundamentals: externalizing designers' intent and controlling iterative change. We introduce SPEC, a structured, parameterized, hierarchical intermediate representation that exposes UI elements as controllable parameters. Building on SPEC, we present SpecifyUI, an interactive system that extracts SPEC from UI references via region segmentation and vision-language models, composes UIs across multipl…

Worldline formalism in phase space
Joon-Hwi Kim
https://arxiv.org/abs/2509.06058 https://arxiv.org/pdf/2509.06058…

Worldline formalism in phase space
We implement the worldline formalism in phase space to compute scattering amplitudes. First, the Feynman rules exhibit several useful universal features, reflecting elements of the symplectic geometry of the phase space target. Next, noncompact worldline topologies automate LSZ reductions in accordance with the boundary conditions available in phase space, provided correct identifications of the associated moduli spaces. Further, employing noncanonical coordinates cubicizes the Feynman rules an…

#lego

Series A, Episode 10 - Breakdown
JENNA: Lateral one-eighty.
ZEN: Lateral one eighty.
BLAKE: I'll handle this Jenna. You can help Gan.
FARREN: [Into com unit] They'll take no further action without orders from me!
https://blake.torpidity.net/m/110/558 B7B5

Beyond Diagonal IRS Aided OFDM: Rate Maximization under Frequency-Dependent Reflection
Ye Yuan, Shuowen Zhang
https://arxiv.org/abs/2509.06378 https://arxi…

Beyond Diagonal IRS Aided OFDM: Rate Maximization under Frequency-Dependent Reflection
This paper studies a broadband orthogonal frequency division multiplexing (OFDM) system aided by a beyond diagonal intelligent reflecting surface (BD-IRS), where inter-connections exist among different elements such that the reflection matrix can exhibit a beyond diagonal structure. Under practical circuit structures, the reflection matrix of the BD-IRS is generally dependent on the circuit parameters (e.g., capacitance matrix for all tunable capacitors) as well as the operating frequency, whic…

On the integral cohomology of real toric manifolds
Feifei Fan
https://arxiv.org/abs/2509.06059 https://arxiv.org/pdf/2509.06059

On the integral cohomology of real toric manifolds
Real toric manifolds are the real loci of nonsingular complete toric varieties. In this paper, we calculate the integral cohomology groups of real toric manifolds in terms of the combinatorial data contained in the underlying simplicial fans, generalizing a formula due to Cai and Choi. We also present a combinatorial formula to describe the ring structure, modulo the ideal consisting of elements of order $2$. As an application, a combinatorial-algebraic criterion is established for when a real …

It's worth remembering that the civil war was a slave revolt:
#USPol

Replaced article(s) found for cs.CE. https://arxiv.org/list/cs.CE/new
[1/1]:
- PyHexTop: a compact Python code for topology optimization using hexagonal elements
Aditi Agarwal, Anupam Saxena, Prabhat Kumar

Energy loss baseline for light hadrons in oxygen-oxygen collisions at $\sqrt{s_\mathrm{NN}}=5.36\,\text{TeV}$
Aleksas Mazeliauskas
https://arxiv.org/abs/2509.07008 https://

Energy loss baseline for light hadrons in oxygen-oxygen collisions at $\sqrt{s_\mathrm{NN}}=5.36\,\text{TeV}$
I present predictions for inclusive charged hadron spectra in minimum-bias proton-proton and oxygen-oxygen collisions at a centre-of-mass energy of $\sqrt{s_\mathrm{NN}} = 5.36\,\text{TeV}$, assuming no final-state interactions. Using next-to-leading order perturbative QCD matrix elements, along with state-of-the-art (nuclear) parton distribution and fragmentation functions, I establish a baseline for the nuclear modification factor $R^h_\text{AA}$ in oxygen-oxygen collisions in the absence of …

Automorphically Equivalent Elements of Finite Abelian Groups
Arjun Agarwal, Rachel Chen, Rohan Garg, Jared Kettinger
https://arxiv.org/abs/2510.06013 https://

Automorphically Equivalent Elements of Finite Abelian Groups
Given a finite abelian group $G$ and elements $x, y \in G$, we prove that there exists $ϕ\in \text{Aut}(G)$ such that $ϕ(x) = y$ if and only if $G/\langle x \rangle \cong G/\langle y \rangle$. This result leads to our development of the two fastest known algorithms to determine if two elements of a finite abelian group are automorphic images of one another. The second algorithm also computes $G/\langle x \rangle$ in a near-linear time algorithm for groups, most feasible when the group has exp…

Polars and antipodal sets for the outer $3$-symmetric space $\mathbb{S}^7 \times \mathbb{S}^7$
Jost-Heinrich Eschenburg, Takashi Sakai
https://arxiv.org/abs/2509.05912 https://

Polars and antipodal sets for the outer $3$-symmetric space $\mathbb{S}^7 \times \mathbb{S}^7$
We determine the polar and the maximal antipodal set $P$ for the outer 3-symmetric space $\mathbb{S}^7 \times \mathbb{S}^7 = \mathrm{Spin}_8/G_2$ where the 3-symmetric structure is given by the triality automorphism $τ$ on $\mathrm{Spin}_8$. It turns out that $P$ has three elements. The 3-symmetric structure extends to a (non-abelian) $S_3$-structure which we also investigate.

Quantum Monte Carlo calculation of $\delta_{\rm NS}$ in $^{10}$C using an effective field theory approach
Garrett B. King, Joseph Carlson, Abraham R. Flores, Emanuele Mereghetti, Saori Pastore, Maria Piarulli, Robert B. Wiringa
https://arxiv.org/abs/2509.07310

Quantum Monte Carlo calculation of $δ_{\rm NS}$ in $^{10}$C using an effective field theory approach
We compute radiative corrections to the superallowed $β$ decay of $^{10}{\rm C}$ in an effective field theory approach using nuclear matrix elements obtained from quantum Monte Carlo calculations. These corrections are an important ingredient in the extraction of the Cabibbo-Kobayashi-Masakawa quark mixing matrix element $V_{ud}$, and the role of this work is to illuminate the uncertainties arising from nuclear structure. Our results provide good agreement with both the traditional extraction …

Information and Communication Theoretical Foundations of the Internet of Plants, Principles, Challenges, and Future Directions
Ahmet B. Kilic, Ozgur B. Akan
https://arxiv.org/abs/2509.08434

Information and Communication Theoretical Foundations of the Internet of Plants, Principles, Challenges, and Future Directions
Plants exchange information through multiple modalities, including chemical, electrical, mycorrhizal, and acoustic signaling, which collectively support survival, defense, and adaptation. While these processes are well documented in biology, their systematic analysis from an Information and Communication Technology (ICT) perspective remains limited. To address this gap, this article is presented as a tutorial with survey elements. It provides the necessary biological background, reformulates in…

Understanding an origin of palladium in metal-poor stars based on the non-LTE analysis of Pd~I lines
L. Mashonkina, A. Smogorzhevskii
https://arxiv.org/abs/2510.06968 https://…

Understanding an origin of palladium in metal-poor stars based on the non-LTE analysis of Pd~I lines
Palladium is one of poorly observed neutron-capture elements. Abundance determinations for stellar samples covering a broad metallicity range are needed for better understanding the mechanisms of Pd synthesis during the Galaxy evolution. We aim to obtain accurate abundances of Pd for the Sun and the sample of metal-poor stars based on the non-local thermodynamic equilibrium (non-LTE) line formation for Pd~I. We present a new, comprehensive model atom of Pd~I. Abundances of Pd, Sr, Ba, and Eu we…

A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
Zhaonan Dong, Emmanuil H. Georgoulis, Lorenzo Mascotto, Zuodong Wang
https://arxiv.org/abs/2509.08537

A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
We establish rigorous \emph{a posteriori} error bounds for a space-time finite element method of arbitrary order discretising linear wave problems in second order formulation. The method combines standard finite elements in space and continuous piecewise polynomials in time with an upwind discontinuous Galerkin-type approximation for the second temporal derivative. The proposed scheme accepts dynamic mesh modification, as required by space-time adaptive algorithms, resulting in a discontinuous …

Effective Atom Theory: Gradient-Driven ab initio Materials Design
Justin Tahmassebpur, Brandon Li, Boris Barron, H\'ector Abru\~na, Peter Frazier, Tom\'as Arias
https://arxiv.org/abs/2509.07180

Effective Atom Theory: Gradient-Driven ab initio Materials Design
We introduce Effective Atom Theory (EAT), a framework that transforms combinatorial materials design into a smooth, gradient-driven optimization within density functional theory (DFT). Atoms are represented as probabilistic mixtures of elements, enabling gradient-based optimizers to converge to a physically realizable material in about 50 energy evaluations -- far fewer than combinatorial optimization methods. Applied to Co-Cr-Ni-V oxides for the alkaline oxygen evolution reaction (OER), EAT le…

A10 - Breakdown
BLAKE: Jenna? [Gan throws Jenna to the floor] Jenna. Jenna! [Gan drags Jenna to front of flight deck]
BLAKE: Gan! Gan, it's me, Blake. Gan, listen to me. [Gan attacks Blake. Avon, Cally, and Vila run in. Avon and Vila pull Gan off Blake]
https://blake.torpidity.net/m/110/9

IGUANA: Immersive Guidance, Navigation, and Control for Consumer UAV
Victor Victor, Tania Krisanty, Matthew McGinity, Stefan Gumhold, Uwe A{\ss}mann
https://arxiv.org/abs/2510.07609

IGUANA: Immersive Guidance, Navigation, and Control for Consumer UAV
As the markets for unmanned aerial vehicles (UAVs) and mixed reality (MR) headsets continue to grow, recent research has increasingly explored their integration, which enables more intuitive, immersive, and situationally aware control systems. We present IGUANA, an MR-based immersive guidance, navigation, and control system for consumer UAVs. IGUANA introduces three key elements beyond conventional control interfaces: (1) a 3D terrain map interface with draggable waypoint markers and live camer…

StyleKeeper: Prevent Content Leakage using Negative Visual Query Guidance
Jaeseok Jeong, Junho Kim, Gayoung Lee, Yunjey Choi, Youngjung Uh
https://arxiv.org/abs/2510.06827 https…

StyleKeeper: Prevent Content Leakage using Negative Visual Query Guidance
In the domain of text-to-image generation, diffusion models have emerged as powerful tools. Recently, studies on visual prompting, where images are used as prompts, have enabled more precise control over style and content. However, existing methods often suffer from content leakage, where undesired elements of the visual style prompt are transferred along with the intended style. To address this issue, we 1) extend classifier-free guidance (CFG) to utilize swapping self-attention and propose 2)…

Agentic generative AI for media content discovery at the national football league
Henry Wang, Sirajus Salekin, Jake Lee, Ross Claytor, Shinan Zhang, Michael Chi
https://arxiv.org/abs/2510.07297

Agentic generative AI for media content discovery at the national football league
Generative AI has unlocked new possibilities in content discovery and management. Through collaboration with the National Football League (NFL), we demonstrate how a generative-AI based workflow enables media researchers and analysts to query relevant historical plays using natural language rather than traditional filter-and-click interfaces. The agentic workflow takes a user query as input, breaks it into elements, and translates them into the underlying database query language. Accuracy and l…

mmBERT: A Modern Multilingual Encoder with Annealed Language Learning
Marc Marone, Orion Weller, William Fleshman, Eugene Yang, Dawn Lawrie, Benjamin Van Durme
https://arxiv.org/abs/2509.06888

mmBERT: A Modern Multilingual Encoder with Annealed Language Learning
Encoder-only languages models are frequently used for a variety of standard machine learning tasks, including classification and retrieval. However, there has been a lack of recent research for encoder models, especially with respect to multilingual models. We introduce mmBERT, an encoder-only language model pretrained on 3T tokens of multilingual text in over 1800 languages. To build mmBERT we introduce several novel elements, including an inverse mask ratio schedule and an inverse temperature…

An Ethically Grounded LLM-Based Approach to Insider Threat Synthesis and Detection
Haywood Gelman, John D. Hastings, David Kenley
https://arxiv.org/abs/2509.06920 https://

An Ethically Grounded LLM-Based Approach to Insider Threat Synthesis and Detection
Insider threats are a growing organizational problem due to the complexity of identifying their technical and behavioral elements. A large research body is dedicated to the study of insider threats from technological, psychological, and educational perspectives. However, research in this domain has been generally dependent on datasets that are static and limited access which restricts the development of adaptive detection models. This study introduces a novel, ethically grounded approach that u…

Quarkonium Parton Shower in Herwig 7
M. R. Masouminia, P. Richardson
https://arxiv.org/abs/2508.06307 https://arxiv.org/pdf/2508.06307

Quarkonium Parton Shower in Herwig 7
We present the implementation of a fully automated quarkonium parton shower in Herwig 7, based on non-relativistic QCD (NRQCD) factorisation with spin-colour projections. The framework systematically incorporates colour-singlet and colour-octet production mechanisms, gluon fragmentation, and diquark production processes. Perturbative short-distance coefficients are combined with non-perturbative NRQCD matrix elements to simulate heavy-quark bound state formation. Splitting functions for $S$-, $…

What Makes a Visualization Complex?
Mengdi Chu, Zefeng Qiu, Meng Ling, Shuning Jiang, Robert S. Laramee, Michael Sedlmair, Jian Chen
https://arxiv.org/abs/2510.08332 https://

What Makes a Visualization Complex?
We investigate the perceived visual complexity (VC) in data visualizations using objective image-based metrics. We collected VC scores through a large-scale crowdsourcing experiment involving 349 participants and 1,800 visualization images. We then examined how these scores align with 12 image-based metrics spanning information-theoretic, clutter, color, and our two object-based metrics. Our results show that both low-level image properties and the high-level elements affect perceived VC in vis…

Elastic-plastic cell-based smoothed finite element method solving geotechnical problems
Yang Yang, Mingjiao Yan, Zongliang Zhang, Miao Zhang, Feidong Zheng, Dong Pana, Xiaozi Lina
https://arxiv.org/abs/2510.07687

Elastic-plastic cell-based smoothed finite element method solving geotechnical problems
An elastic-plastic cell-based smoothed finite element method (CSFEM) is proposed for geotechnical analysis of soils and rocks exhibiting nonlinear and path-dependent behaviors. By introducing strain smoothing over subcell domains and employing a consistent stress return-mapping algorithm, the method enhances stress accuracy, alleviates volumetric locking, and reduces sensitivity to mesh distortion while retaining the flexibility of polygonal elements. The formulation is implemented in ABAQUS vi…

Fixed my Keurig after breaking several plastic aesthetic elements. Turns out I just needed to push a paperclip through the bottom needle.
It's a Cyberpunk Coffee maker now.

Steinberg skein identities at roots of unity
Vijay Higgins, Indraneel Tambe
https://arxiv.org/abs/2509.05502 https://arxiv.org/pdf/2509.05502

Steinberg skein identities at roots of unity
We obtain a family of skein identities in the Kauffman bracket skein module which relate Frobenius elements to Jones-Wenzl projectors at roots of unity. We view these skein identities as certain incarnations of Steinberg tensor product formulae from the theory of tilting modules of the quantum group $U_q(sl_2)$. We show that the simplest skein identities yield a short new proof of the existence of the Chebyshev-Frobenius homomorphism of Bonahon-Wong.

Trace Minimization and Roots in ${\rm PSL}(2,\mathbb{R})$
Martin Kreuzer, Anja Moldenhauer, Gerhard Rosenberger
https://arxiv.org/abs/2508.06185 https://ar…

Trace Minimization and Roots in ${\rm PSL}(2,\mathbb{R})$
Suppose that $A,B \in {\rm PSL}(2,\mathbb{R})$ generate a discrete and free group of rank 2, and let $m,n\ge 1$. We consider subgroups $\langle R,S\rangle$ of ${\rm PSL}(2,\mathbb{R})$ generated by roots of $A$ and $B$, i.e., by elements such that $R^m=A$ and $S^n=B$. Depending on whether the commutator trace $τ={\rm tr}([A,B])$ is larger or smaller than 2, we describe necessary and sufficient conditions for $\langle R,S\rangle$ to be discrete and free of rank 2. For $τ\le -2$, this can be ch…

Exploiting Movable Elements of Intelligent Reflecting Surface for Enhancement of Integrated Sensing and Communication
Xingyu Peng, Qin Tao, Yong Liang Guan, Xiaoming Chen
https://arxiv.org/abs/2507.23296

Exploiting Movable Elements of Intelligent Reflecting Surface for Enhancement of Integrated Sensing and Communication
In this paper, we propose to exploit movable elements of intelligent reflecting surface (IRS) to enhance the overall performance of integrated sensing and communication (ISAC) systems. Firstly, focusing on a single-user scenario, we reveal the function of movable elements by performance analysis, and then design a joint beamforming and element position optimization scheme. Further, we extend it to a general multi-user scenario, and also propose an element position optimization scheme according …

Impact of AGB stars on the chemical evolution of neutron-capture elements
Gabriele Cescutti, Francesca Matteucci
https://arxiv.org/abs/2510.01904 https://a…

Impact of AGB stars on the chemical evolution of neutron-capture elements
In this paper we discuss the impact of the s-process nucleosynthesis in Asymptotic Giant Branch stars on the enrichment of heavy elements. We review the main steps made on this subject in the last 40 years and discuss the importance of modelling the evolution of the abundances of such elements in our Milky Way. From the comparison between model results and observations, we can impose strong constraints on stellar nucleosynthesis as well as on the evolution of the Milky Way.

Decoding Latent Attack Surfaces in LLMs: Prompt Injection via HTML in Web Summarization
Ishaan Verma
https://arxiv.org/abs/2509.05831 https://arxiv.org/pdf…

Decoding Latent Attack Surfaces in LLMs: Prompt Injection via HTML in Web Summarization
Large Language Models (LLMs) are increasingly integrated into web-based systems for content summarization, yet their susceptibility to prompt injection attacks remains a pressing concern. In this study, we explore how non-visible HTML elements such as , aria-label, and alt attributes can be exploited to embed adversarial instructions without altering the visible content of a webpage. We introduce a novel dataset comprising 280 static web pages, evenly divided between clean and adversarial…

Balanced Steinhaus triangles
Jonathan Chappelon
https://arxiv.org/abs/2508.05159 https://arxiv.org/pdf/2508.05159…

Balanced Steinhaus triangles
A Steinhaus triangle modulo $m$ is a finite down-pointing triangle of elements in the finite cyclic group $\mathbb{Z}/m\mathbb{Z}$ satisfying the same local rule as the standard Pascal triangle modulo $m$. A Steinhaus triangle modulo $m$ is said to be balanced if it contains all the elements of $\mathbb{Z}/m\mathbb{Z}$ with the same multiplicity. In this paper, the existence of infinitely many balanced Steinhaus triangles modulo $m$, for any positive integer $m$, is shown. This is achieved by c…

Counting integral points in homogeneous spaces over function fields
Sheng Chen, Jing Liu
https://arxiv.org/abs/2510.06983 https://arxiv.org/pdf/2510.06983

Counting integral points in homogeneous spaces over function fields
We establish the asymptotic formula for the number of integral points in non-compact symmetric homogeneous spaces of semi-simple simply connected algebraic groups over global function fields, given by the sum of the products of local densities twisted by suitable Brauer elements.

Full-Angle Ray Antenna Array and Omnicell Wireless Communication System
Xuancheng Zhu, Zhiwen Zhou, Yong Zeng
https://arxiv.org/abs/2509.05677 https://arxi…

Full-Angle Ray Antenna Array and Omnicell Wireless Communication System
Ray antenna array (RAA) was recently proposed as a novel multi-antenna architecture that arranges multiple massive cheap antenna elements into simple uniform linear arrays (sULAs) with different orientations. Compared with traditional architectures like hybrid analog/digital beamforming with uniform linear array (ULA) and uniform circular array (UCA), RAA has several promising advantages such as significantly reduced hardware cost, higher beamforming gains and the ability of providing uniform a…

B12 - The Keeper
AVON: True, but let us assume that the keeper of the secret is somewhere down there on the planet Goth, and that the keeper is a royal personage.
JENNA: Lurgen's brain print is on a thong around a chief's neck. That's what Docholli said.
https://blake.torpidity.net/m/212/5

Finding your MUSE: Mining Unexpected Solutions Engine
Nir Sweed, Hanit Hakim, Ben Wolfson, Hila Lifshitz, Dafna Shahaf
https://arxiv.org/abs/2509.05072 https://

Finding your MUSE: Mining Unexpected Solutions Engine
Innovators often exhibit cognitive fixation on existing solutions or nascent ideas, hindering the exploration of novel alternatives. This paper introduces a methodology for constructing Functional Concept Graphs (FCGs), interconnected representations of functional elements that support abstraction, problem reframing, and analogical inspiration. Our approach yields large-scale, high-quality FCGs with explicit abstraction relations, overcoming limitations of prior work. We further present MUSE, a…

Series A, Episode 05 - The Web
JENNA: Look.
[Main viewscreen shows the web dissolving.]
GAN: He did it. We're free.
JENNA: Not yet.
https://blake.torpidity.net/m/105/503 B7B5

Texture-zeros in minimal seesaw from non-invertible symmetry fusion rules
Zheng Jiang, Bu-Yao Qu, Gui-Jun Ding
https://arxiv.org/abs/2510.07236 https://arx…

Texture-zeros in minimal seesaw from non-invertible symmetry fusion rules
The $Z_2$ gauging of $Z_N$ symmetry can enforce certain elements of the fermion Yukawa couplings to vanish. We have performed a systematical study of texture zero patterns of lepton mass matrices in the minimal seesaw model, and we present all the possible patterns of the charged lepton Yukawa coupling $Y_E$, neutrino Yukawa coupling $Y_ν$, right-handed neutrino mass matrix $M_R$ and the light neutrino mass matrix $M_ν$ which can be derived from the $Z_2$ gauging of $Z_N$ symmetry. The realiz…

The modified prime sieve for primitive elements in finite fields
Gustav Kj{\ae}rbye Bagger, James Punch
https://arxiv.org/abs/2507.21515 https://arxiv.org/…

The modified prime sieve for primitive elements in finite fields
Let $r \geq 2$ be an integer, $q$ a prime power and $\mathbb{F}_{q}$ the finite field with $q$ elements. Consider the problem of showing existence of primitive elements in a subset $\mathcal{A} \subseteq \mathbb{F}_{q^r}$. We prove a sieve criterion for existence of such elements, dependent only on an estimate for the character sum $\sum_{γ\in \mathcal{A}}χ(γ)$. The flexibility and direct applicability of our criterion should be of considerable interest for problems in this field. We demonst…

Order-generation in posets and convolution of closure operators
Paul Poncet
https://arxiv.org/abs/2509.05299 https://arxiv.org/pdf/2509.05299

Order-generation in posets and convolution of closure operators
Motivated by the Hofmann--Lawson theorem, which states that every continuous lattice is inf-generated by its irreducible elements, we explore how to represent posets by extreme points with respect to a closure operator. For this purpose, we introduce the convolution product of closure operators, and prove that the Krein--Milman property can be transferred from one collection of subsets to another by convolution. This result underpins two new representation theorems of topological flavor, which …

Back to the Future Museum -- Speculative Design for Virtual Citizen-Curated Museums
Richard Rhodes, Sandra Woolley
https://arxiv.org/abs/2510.06472 https://

Back to the Future Museum -- Speculative Design for Virtual Citizen-Curated Museums
This forward-looking paper uses speculative design fiction to explore future museum scenarios where citizen curators design and share immersive virtual reality museums populated with tangible heritage artefacts, intangible virtual elements and interactive experiences. The work also explores takeaway 'asset packs' containing 3D artefact models, curation assets, and interactive experiences, and we envisage a visit to the future museum, where the physical and virtual experiences interplay. Finally…

SparkUI-Parser: Enhancing GUI Perception with Robust Grounding and Parsing
Hongyi Jing, Jiafu Chen, Chen Rao, Ziqiang Dang, Jiajie Teng, Tianyi Chu, Juncheng Mo, Shuo Fang, Huaizhong Lin, Rui Lv, Chenguang Ma, Lei Zhao
https://arxiv.org/abs/2509.04908

SparkUI-Parser: Enhancing GUI Perception with Robust Grounding and Parsing
The existing Multimodal Large Language Models (MLLMs) for GUI perception have made great progress. However, the following challenges still exist in prior methods: 1) They model discrete coordinates based on text autoregressive mechanism, which results in lower grounding accuracy and slower inference speed. 2) They can only locate predefined sets of elements and are not capable of parsing the entire interface, which hampers the broad application and support for downstream tasks. To address the a…

Resource Allocation and Beamforming in FIM-Assisted BS and STAR-BD-RIS-Aided NOMA: A Meta-Learning Approach
Armin Farhadi, Maryam Cheraghy, Qingqing Wu, Eduard Jorswieck
https://arxiv.org/abs/2509.05692

Resource Allocation and Beamforming in FIM-Assisted BS and STAR-BD-RIS-Aided NOMA: A Meta-Learning Approach
This study explores a flexible intelligent metasurface (FIM)-based wireless communication system that integrates simultaneously transmitting and reflecting beyond diagonal reconfigurable intelligent surfaces (STAR-BD-RIS) with non-orthogonal multiple access (NOMA). The system features a multi-antenna FIM-assisted base station (BS) aided by dual-sector BD-RIS. The FIM consists of cost-effective radiating elements that can independently emit signals and dynamically adjust their vertical positions…

Groups with conjugacy classes of coprime sizes
Rachel D. Camina, Attila Mar\'oti, Emanuele Pacifici, Chris Parker, Kamilla Rekv\'enyi, Jack Saunders, V\'ictor Sotomayor, Gareth Tracey, Martin van Beek
https://arxiv.org/abs/2508.03851

Groups with conjugacy classes of coprime sizes
Suppose that $x$, $y$ are elements of a finite group $G$ lying in conjugacy classes of coprime sizes. We prove that $\langle {x^G} \cap {y^G}\rangle$ is an abelian normal subgroup of $G$ and, as a consequence, that if $x$ and $y$ are $π$-regular elements for some set of primes $π$, then $x^G y^G$ is a $π$-regular conjugacy class in $G$. The latter statement was previously known for $π$-separable groups $G$ and this generalisation permits us to extend several results concerning the common di…

Twisted conjugacy in $BS(n, 1)$
Oorna Mitra, Mallika Roy, Enric Ventura
https://arxiv.org/abs/2508.04397 https://arxiv.org/pdf/2508.04397

Twisted conjugacy in $BS(n, 1)$
In this article, we solve the twisted conjugacy problem for solvable Baumslag--Solitar groups $BS(n,1)$, i.e., we propose an algorithm which, given two elements $u,v \in BS(n,1)$ and an automorphism $φ\in \Aut(BS(n,1))$, decides whether $v=(wφ)^{-1} u w$ for some $w\in BS(n,1)$. Also we prove that the automorphism group $\Aut(BS(n,1))$ is orbit decidable -- given two words on the generators $u,v\in F(X)$, decide whether the corresponding elements $u,v\in G$ can be mapped to each other by some…

Series D, Episode 03 - Traitor
TARRANT: [OOV] Tarrant to Scorpio. We're ready for teleport.
VILA: About time.
AVON: Stand by for teleport. Slave where are those cruisers now?
SLAVE: Sector Twelve, Master. You outmanoeuvred them with consumate skill.
https://blake.torpidity.net/m/403/490