Tootfinder

Bosses are still mandating RTO: workers are going but on their own terms
https://www.cnbc.com/2025/10/06/bosses-are-still-mandating-rto-workers-are-going-but-on-their-own-terms.html

Switzerland launches a preliminary investigation into whether Apple's terms for granting third-party access to NFC tech on iPhones violate its antitrust laws (Tim Hardwick/MacRumors)
https://www.macrumors.com/2025/12/12/apple-pay-swiss-antitrust-probe-nfc/

Apple Pay Faces Swiss Antitrust Investigation Over NFC Access
Switzerland's competition authority has launched a preliminary investigation into whether Apple's terms for granting third-party access to...

Braise, stew, soup... is a spectrum to some.
Here is the fix: Just call it a #brewp.
No need to fighter over terms.

Oh. Parece que morreu o John Varley.
Um autor de FC americano de segunda linha com alguns livros publicados em Portugal. Toda a série Gaea (uma trilogia que a Europa-América publicou em 6 volumes) é muito boa.
https://fed.brid.gy/r/https://bsky.app

Jesse Sheidlower (@jessesword.com)
RIP John Varley. We have a lot of quotations from him in the Historical #Dictionary of #ScienceFiction, and he is credited as being the originator of four terms: cryosuspension, cyborg (v.), cyborged, and nearside (n.): https://sfdictionary.com/author/59/john-varley?firstquotes=1 [contains quote post or other embedded content]

Local Lipschitz continuity for energy integrals with fast growth and lower order terms
Andrea Torricelli
https://arxiv.org/abs/2510.09142 https://arxiv.org…

Local Lipschitz continuity for energy integrals with fast growth and lower order terms
We consider integral functionals with fast growth and the lagrangian explicitly depending on $u$. We prove that the local minimizers are locally Lipschitz continuous.

foldoc: FOLDOC entries (2002)
A network of hyperlinks among entries in the Free On-line Dictionary of Computing (FOLDOC, www.foldoc.org), an online dictionary of acronyms and technical terms for computers. An edge points from i to j if the term j is referred to in the entry for term i. Edge weight denotes number of uses of the same term.
This network has 13356 nodes and 120238 edges.
Tags: Informational, Web graph, Weighted

Glossary of Technical and Green Terms - Understand key words, abbreviations and other terms used on Earth Notes. #tech #glossary #energy -

Glossary of Technical and Green Terms
Understand key words, abbreviations and other terms used on Earth Notes. #tech #glossary #energy

Tiny-R1V: Lightweight Multimodal Unified Reasoning Model via Model Merging
Qixiang Yin, Huanjin Yao, Jianghao Chen, Jiaxing Huang, Zhicheng Zhao, Fei Su
https://arxiv.org/abs/2510.08987

Tiny-R1V: Lightweight Multimodal Unified Reasoning Model via Model Merging
Although Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities across diverse tasks, they encounter numerous challenges in terms of reasoning efficiency, such as large model size, overthinking, and compromised accuracy in lightweight scenarios. However, research on the reasoning capabilities of lightweight MLLMs is quite lacking. To this end, we propose Tiny-R1V, a novel lightweight 3B model that achieves faster inference and higher accuracy via a two-stage optimiza…

"Digital Sovereignty" as a term always has the implicit danger of fueling nationalist narratives. We should be finding better terms, I like @… 's "resilient infrastructure" framing.

Just finished "Beasts Made of Night" by Tochi Onyebuchi...
Indirect CW for fantasy police state violence.
So I very much enjoyed Onyebuchi's "Riot Baby," and when I grabbed this at the library, I was certain it would be excellent. But having finished it, I'm not sure I like it that much overall?
The first maybe third is excellent, including the world-building, which is fascinating. I feel like Onyebuchi must have played "Shadow of the Colossus" at some point. Onyebuchi certainly does know how to make me care for his characters.
Some spoilers from here on out...
.
.
.
I felt like it stumbles towards the middle, with Bo's reactions neither making sense in the immediate context, nor in retrospect by the end when we've learned more. Things are a bit floaty in the middle with an unclear picture of what exactly is going on politics-wise and what the motivations are. Here I think there were some nuances that didn't make it to the page, or perhaps I'm just a bit thick and not getting stuff I should be? More is of course revealed by the end, but I still wasn't satisfied with the explanations of things. For example, (spoilers) I don't feel I understand clearly what kind of power the army of aki was supposed to represent within the city? Perhaps necessary to wield the threat of offensive inisisia use? In that case, a single scene somewhere of Izu's faction deploying that tactic would have been helpful I think.
Then towards the end, for me things really started to jumble, with unclear motivations, revelations that didn't feel well-paced or -structured, and a finale where both the action & collapsing concerns felt stilted and disjointed. Particularly the mechanics/ethics of the most important death that set the finale in motion bothered me, and the unexplained mechanism by which that led to what came next? I can read a couple of possible interesting morals into the whole denouement, but didn't feel that any of them were sufficiently explored. Especially if we're supposed to see some personal failing in the protagonist's actions, I don't think it's made clear enough what that is, since I feel his reasons to reject each faction are pretty solid, and if we're meant to either pity or abjure his indecision, I don't think the message lands clearly enough.
There *is* a sequel, which honestly I wasn't sure of after the last page, and which I now very interested in. Beasts is Onyebuchi's debut, which maybe makes sense of me feeling that Riot Baby didn't have the same plotting issues. It also maybe means that Onyebuchi couldn't be sure a sequel would make it to publication in terms of setting up the ending.
Overall I really enjoyed at least 80% of this, but was expecting even better (especially politically) given Onyebuchi's other work, and I didn't feel like I found it.
#AmReading

"Labour has also won every time the Senedd has been contested, as it will be again in May. Yet, if the most recent Wales-wide poll holds good, that is set to change. Plaid will instead be the largest party, just ahead of Reform UK, with Labour third. Though still a minority, Plaid would be in government. In Welsh terms, that would be a political earthquake. Perhaps in Britain-wide terms too"
#UKPol

We're eating good tonight! >:3

Sums of Exponential Terms, Conserved Quantities, and the Real Wave Numbers
Terence R. Smith
https://arxiv.org/abs/2510.07803 https://arxiv.org/pdf/2510.078…

Sums of Exponential Terms, Conserved Quantities, and the Real Wave Numbers
There is consensus that sums $S_n={ {Σ}_{k=1}^n R_{0k} e^{i θ_k}}$ of complex exponential terms, despite their mathematical significance, only possess closed-form representations for specific values of n and special values of their parameters and that there are no generally-accepted recursive formulae for their computation. This note is focused on recursive formulae that: (1) provide closed-form analytic representations of $S_n$ for any finite n; (2) include generalizations of the usual formu…

A classification algorithm for reflexive simplices
Marco Ghirlanda
https://arxiv.org/abs/2510.09131 https://arxiv.org/pdf/2510.09131

A classification algorithm for reflexive simplices
We present a general classification algorithm for reflexive simplices, which allows us to determine all reflexive simplices in dimensions five and six. In terms of algebraic geometry this means that we classify the Gorenstein fake weighted projective spaces in dimensions five and six. As a byproduct of our methods, we obtain explicit formulae for the Picard group and the Gorenstein index of any fake weighted projective space.

Rethinking How We Discuss the Guidance of Student Researchers in Computing
Shomir Wilson
https://arxiv.org/abs/2510.08885 https://arxiv.org/pdf/2510.08885

Rethinking How We Discuss the Guidance of Student Researchers in Computing
Computing faculty at research universities are often expected to guide the work of undergraduate and graduate student researchers. This guidance is typically called advising or mentoring, but these terms belie the complexity of the relationship, which includes several related but distinct roles. I examine the guidance of student researchers in computing (abbreviated to research guidance or guidance throughout) within a facet framework, creating an inventory of roles that faculty members can hol…

Cohomology theories in the moduli of ring stacks
Dhilan Lahoti, Deven Manam
https://arxiv.org/abs/2510.09582 https://arxiv.org/pdf/2510.09582

Cohomology theories in the moduli of ring stacks
We show that the natural map from the syntomification of a ring $R$ to the stack of $R$-algebra stacks is fully faithful, answering a question of Drinfeld, and we describe its essential image in terms of underlying monoid stacks. We also give similar statements in the characteristic 0 filtered de Rham, $\ell = p$ étale, and Betti settings.

Only one paper telling the truth... is that funny?
https://theonion.com/israel-agrees-to-go-back-to-killing-palestinians-on-less-frequent-basis/

Israel Agrees To Go Back To Killing Palestinians On Less Frequent Basis
CAIRO—As part of a historic ceasefire agreement with Hamas following two years of war, the Israeli government reportedly agreed Thursday to go back to killing Palestinians on a less frequent basis. “In line with the terms of the deal, Hamas will release all remaining Israeli hostages, and Israel will still murder innocent Palestinian civilians on […]

Uncovering All Highly Credible Binary Treatment Hierarchy Questions in Network Meta-Analysis
Caitlin H. Daly, Chloe Tan, Audrey B\'eliveau
https://arxiv.org/abs/2510.08853 h…

Uncovering All Highly Credible Binary Treatment Hierarchy Questions in Network Meta-Analysis
In recent years, there has been growing research interest in addressing treatment hierarchy questions within network meta-analysis (NMA). In NMAs involving many treatments, the number of possible hierarchy questions becomes prohibitively large. To manage this complexity, previous work has recommended pre-selecting specific hierarchy questions of interest (e.g., ``among options A, B, C, D, E, do treatments A and B have the two best effects in terms of improving outcome X?") and calculating the e…

Loop functions of sunset graphs in 2 1 space-time dimensions
N. Kaiser
https://arxiv.org/abs/2510.08704 https://arxiv.org/pdf/2510.08704

Loop functions of sunset graphs in 2+1 space-time dimensions
In these notes the relativistic $n$-body phase-phase is calculated iteratively in $2+1$ space-time dimensions for all $n$. The obtained result shows a simple power-law behavior $α_n (μ-M)^{n-2}/μ$ with a dependence only on the total mass $M=m_1+\dots + m_n$. As a consequence of this feature, the $(n-1)$-loop integrals $J_n(-q^2)$ associated to sunset graphs with $n$ internal lines can be expressed through of elementary (arctangent and logarithmic) functions, modulo polynomial terms in $q^2$ …

Constraints on the interacting holographic dark energy models: implications from background and perturbations data
N. Nazari Pooya
https://arxiv.org/abs/2510.08875 https://

Constraints on the interacting holographic dark energy models: implications from background and perturbations data
In this study, we employ a two-step method to analyze models of holographic dark energy (HDE) and interacting holographic dark energy (IHDE), incorporating three distinct dark energy (DE)-dark matter (DM) interaction terms. First, using the latest background dataset, we conduct a Markov chain Monte Carlo (MCMC) analysis to constrain the free parameters of the models. Then, we assess the models against each other using the key background parameters and compare them to the $Λ$CDM standard model.…

This year is refusing to let go, in terms of busyness, but there are signs that I'm winning...

A Multilingual Python Programming Language
Saad Ahmed Bazaz, Mirza Omer Beg
https://arxiv.org/abs/2510.09591 https://arxiv.org/pdf/2510.09591

A Multilingual Python Programming Language
All widely used and useful programming languages have a common problem. They restrict entry on the basis of knowledge of the English language. The lack of knowledge of English poses a major hurdle to many newcomers who do not have the resources, in terms of time and money, to learn the English language. Studies show that people learn better in their own language. Therefore, we propose a language transpiler built on top of the Python programming language, called UniversalPython, which allows one…

Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
Romain Speciel
https://arxiv.org/abs/2510.08822 https://arxiv.org/pdf…

Stability Estimates for Commutativity Properties of the Dirichlet-to-Neumann Operator
The Laplacian $Δ_{\mathbb{S}^{n-1}}$ on the unit sphere $\mathbb{S}^{n-1}\subset \mathbb{R}^n$ has the property that it can explicitly be expressed in terms of $Λ$, the Dirichlet-to-Neumann map of the unit ball, as $Δ_{\mathbb{S}^{n-1}}=Λ^2+(n-2)Λ$. In this paper, we seek to characterize those manifolds for which such an exact relationship holds, and more generally measure the discrepancy of such a relationship holding in terms of geometric data. To this end, we obtain a stability estimate…

Boundaries of multiply connected Fatou components. A unified approach
Gustavo R. Ferreira, Anna Jov\'e
https://arxiv.org/abs/2510.09241 https://arxiv.o…

Boundaries of multiply connected Fatou components. A unified approach
We analyze the boundaries of multiply connected Fatou components of transcendental maps by means of universal covering maps and associated inner functions. A unified approach is presented, which includes invariant Fatou components (of any type) as well as wandering domains. We prove that any Fatou component admits a harmonic measure on its boundary whose support is the whole boundary. Consequently, we relate, in a successful way, the geometric structure of such Fatou components (in terms of the…

Want a used car that works?
You’d be wise to not get an older Tesla.
In Consumer Reports’ latest ranking for used cars,
the Elon Musk-run automaker came dead last in terms of reliability,
trailing by over forty points from the top spot on a scale between 0 and 100
https://futurism.co…

Old Teslas Are Falling Apart
On Consumer Reports' latest ranking of used car reliability, Tesla came in dead last with a rating not even half of the top placed brand.

On the approximation of finite-time Lyapunov exponents for the stochastic Burgers equation
Alexandra Blessing, Dirk Bl\"omker
https://arxiv.org/abs/2510.09460 https://

On the approximation of finite-time Lyapunov exponents for the stochastic Burgers equation
We analyze stochastic partial differential equations (SPDEs) with quadratic nonlinearities close to a change of stability. To this aim we compute finite-time Lyapunov exponents (FTLEs), observing a change of sign based on the interplay between the distance towards the bifurcation and the noise intensity. A technical challenge is to provide a suitable control of the nonlinear terms coupling the dominant and stable modes of the SPDE and of the corresponding linearization. In order to illustrate o…

Found on my "watch later" list: a very interesting video from 7 years ago that compares the Zelda game "Breath of the Wild" with Studio Ghibli. And the similarities are striking - especially when you look at Princess Mononoke. I haven't played a Zelda game since the SNES but I think the narrator is right: Zelda's 2017 adventure is an homage to Ghibli's work, both in terms of its look as well as its themes.

Lecture notes on the symplectic geometry of graded manifolds and higher Lie groupoids
Miquel Cueca, Antonio Maglio, Fabricio Valencia
https://arxiv.org/abs/2510.09448 https://…

Lecture notes on the symplectic geometry of graded manifolds and higher Lie groupoids
In this work, we study symplectic structures on graded manifolds and their global counterparts, higher Lie groupoids. We begin by introducing the concept of graded manifold, starting with the degree 1 case, and translating key geometric structures into classical differential geometry terms. We then extend our discussion to the degree 2 case, presenting several illustrative examples with a particular emphasis on equivariant cohomology and Lie bialgebroids. Next, we define symplectic Q-manifolds …

Bleh. Just saw a friend who found out they couldn’t be followed by one of their friends because (unbeknownst to both parties) the moderators of their friend’s instance had defederated from their own instance. All of this, for people who barely know what any of these terms mean. What they experience is, “Two people you’ve never met have a beef you’ve never heard about over an issue you don’t know about, so your friend can’t see you. And there’s no fix.” It’s just terrible all around.

Physics is simple only when analyzed locally
Matteo Luca Ruggiero
https://arxiv.org/abs/2511.07447 https://arxiv.org/pdf/2511.07447 https://arxiv.org/html/2511.07447
arXiv:2511.07447v1 Announce Type: new
Abstract: The definition of a reference frame in General Relativity is achieved through the construction of a congruence of time-like world-lines. In this framework, splitting techniques enable us to express physical phenomena in analogy with Special Relativity, thereby realizing the local description in terms of Minkowski spacetime in accordance with the equivalence principle. This approach holds promise for elucidating the foundational principles of relativistic gravitational physics, as it illustrates how its 4-dimensional mathematical model manifests in practical measurement processes conducted in both space and time. In addition, we show how, within this framework, the Newtonian gravitational force naturally emerges as an effect of the non-geodesic path of the reference frame.
toXiv_bot_toot

A Note on Idempotent Matrices: The Poset Structure and The Construction
Sen-Peng Eu, Yong-Siang Lin, Wei-Liang Sun
https://arxiv.org/abs/2510.09501 https://

A Note on Idempotent Matrices: The Poset Structure and The Construction
Idempotent elements play a fundamental role in ring theory, as they encode significant information about the underlying algebraic structure. In this paper, we study idempotent matrices from two perspectives. First, we analyze the partially ordered set of idempotents in matrix rings over a division ring. We characterize the partial order relation explicitly in terms of block decompositions of idempotent matrices. Second, over principal ideal domains, we establish an equivalent condition for a ma…

On the distribution of $A_\alpha$-eigenvalues in terms of graph invariants
Uilton Cesar Peres Junior, Carla Silva Oliveira, Andr\'e Ebling Brondan
https://arxiv.org/abs/2510.06933

On the distribution of $A_α$-eigenvalues in terms of graph invariants
Let $G$ be a connected graph of order $n$, and $A(G)$ and $D(G)$ its adjacency and degree diagonal matrices, respectively. For a parameter $α\in [0,1]$, Nikiforov~(2017) introduced the convex combination $A_α(G) = αD(G) + (1 - α)A(G)$. In this paper, we investigate the spectral distribution of $A_α(G)$-eigenvalues, over subintervals of the real line. We establish lower and upper bounds on the number of such eigenvalues in terms of structural parameters of $G$, including the number of penda…

OK, let's be clear about #Autism:
A majority of engineers, including software engineers, are #ActuallyAutistic; I suspect a majority of architects and people who invent new stuff generally are; many people in the creative arts are.
Without

Independent review into mental health conditions, ADHD and autism: terms of reference

Perhaps they'll have to change their brand name to Beyond Dead Animals now?
https://www.euronews.com/my-europe/2025/10/08/when-is-a-sausage-no-longer-a-sausage-european-parliament-answers-a…

When is a sausage no longer one? EU Parliament answers after grilling
The European Parliament has voted to ban meat-related terms like “burger” and “sausage” for plant-based products, prompting backlash from consumer and environmental groups. #EuropeNews

Iterated sumset expansion in $\mathbb{F}_p^n$
Manik Dhar, Sammy Luo
https://arxiv.org/abs/2510.08857 https://arxiv.org/pdf/2510.08857

Iterated sumset expansion in $\mathbb{F}_p^n$
Given a set $A \subseteq \mathbb{F}_p^n$, what conditions does one need to guarantee that iterated sumsets of the form $A+\cdots+A$ expand quickly (say, within $O(p)$ terms) to the whole space? When only the size of $A$ is known, such expansion results are only possible when $|A|>\frac{1}{p}|\mathbb{F}_p^n|$. However, heuristic considerations suggest that expansion should begin with much smaller sets under just mild ``nondegeneracy'' conditions. In this paper, we confirm thi…

Gerade erschienen 😎: Hanna Meiners und ich beschreiben, wie wir am DDK - Bildarchiv #FotoMarburg @… als Gateway institutionellen Wissens nutzen.
Meiners, Hanna-Lena, and Klaus Bulle. 2025. ‘Disrupting the Dust: Identifier Properties and the Future of Cultural Her…

"At $4.5bn each year extreme weather is costing Australia three times as much compared with 1990s, insurers say"
#Australia #Climate #ClimateChange

A Set of Quebec-French Corpus of Regional Expressions and Terms
David Beauchemin, Yan Tremblay, Mohamed Amine Youssef, Richard Khoury
https://arxiv.org/abs/2510.05026 https://…

A Set of Quebec-French Corpus of Regional Expressions and Terms
The tasks of idiom understanding and dialect understanding are both well-established benchmarks in natural language processing. In this paper, we propose combining them, and using regional idioms as a test of dialect understanding. Towards this end, we propose two new benchmark datasets for the Quebec dialect of French: QFrCoRE, which contains 4,633 instances of idiomatic phrases, and QFrCoRT, which comprises 171 regional instances of idiomatic words. We explain how to construct these corpora, …

Why do the D's in Congress talk about "negotiating" the continuing resolution and ending the federal shutdown?
What is there to talk about?
From the D perspective should not the health care demands be a non-negotiable red line?
Personally I don't believe the D's should worry whether the shutdown extends until the end of el-cheeto's terms. Cheeto will ignore any negotiated limits or obligations and will simply declare "emergencies" and ta…

Saw this comment about the Arduino acquisition: "Let the Enshitification Begin."
Another said: "This is not what I want from an Arduino. I want cheap, low-power both in terms of usage and capability, simple and open source."
#arduino

Compression for Coinductive Infinitary Rewriting: A Generic Approach, with Applications to Cut-Elimination for Non-Wellfounded Proofs
R\'emy Cerda, Alexis Saurin
https://arxiv.org/abs/2510.08420

Compression for Coinductive Infinitary Rewriting: A Generic Approach, with Applications to Cut-Elimination for Non-Wellfounded Proofs
Infinitary rewriting, i.e. rewriting featuring possibly infinite terms and sequences of reduction, is a convenient framework for describing the dynamics of non-terminating but productive rewriting systems. In its original definition based on metric convergence of ordinal-indexed sequences of rewriting steps, a highly desirable property of an infinitary rewriting system is Compression, i.e. the fact that rewriting sequences of arbitrary ordinal length can always be 'compressed' to equivalent seq…

Contrastive Self-Supervised Learning at the Edge: An Energy Perspective
Fernanda Fam\'a, Roberto Pereira, Charalampos Kalalas, Paolo Dini, Lorena Qendro, Fahim Kawsar, Mohammad Malekzadeh
https://arxiv.org/abs/2510.08374

Contrastive Self-Supervised Learning at the Edge: An Energy Perspective
While contrastive learning (CL) shows considerable promise in self-supervised representation learning, its deployment on resource-constrained devices remains largely underexplored. The substantial computational demands required for training conventional CL frameworks pose a set of challenges, particularly in terms of energy consumption, data availability, and memory usage. We conduct an evaluation of four widely used CL frameworks: SimCLR, MoCo, SimSiam, and Barlow Twins. We focus on the practi…

Randomized truncation of quantum states
Aram W. Harrow, Angus Lowe, Freek Witteveen
https://arxiv.org/abs/2510.08518 https://arxiv.org/pdf/2510.08518

Randomized truncation of quantum states
A fundamental task in quantum information is to approximate a pure quantum state in terms of sparse states or, for a bipartite system, states of bounded Schmidt rank. The optimal deterministic approximation in each case is straightforward, and maximizes the fidelity: keep the largest entries or singular values. On the other hand, random mixtures of sparse states can achieve quadratically improved trace distances, and yield nontrivial bounds on other distance measures like the robustness. In thi…

On a matrix constrained CKP hierarchy
Song Li, Kelei Tian, Zhiwei Wu
https://arxiv.org/abs/2510.09054 https://arxiv.org/pdf/2510.09054

On a matrix constrained CKP hierarchy
The algebraic structures of integrable hierarchies play an important role in the study of soliton equations. In this paper, we use splitting theory to give a matrix representation of a constrained CKP hierarchy, which can be considered as a generalization of the $\hat{A}_{2n}^{(2)}$-KdV hierarchy and the constrained KP hierarchy. An equivalent construction in terms of the pseudo-differential operator is discussed. Darboux transformations, scaling transformation and tau functions $\ln τ_f$ for …

Way-too-early 2026 Cowboys Mock Offseason: free agency, firings, draft https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/12/10/2026-cowboys-mock-offseason-free-agency-firings-draft/87641076007/

FastUMI-100K: Advancing Data-driven Robotic Manipulation with a Large-scale UMI-style Dataset
Kehui Liu, Zhongjie Jia, Yang Li, Zhaxizhuoma, Pengan Chen, Song Liu, Xin Liu, Pingrui Zhang, Haoming Song, Xinyi Ye, Nieqing Cao, Zhigang Wang, Jia Zeng, Dong Wang, Yan Ding, Bin Zhao, Xuelong Li
https://arxiv.org/abs/2510.08022

FastUMI-100K: Advancing Data-driven Robotic Manipulation with a Large-scale UMI-style Dataset
Data-driven robotic manipulation learning depends on large-scale, high-quality expert demonstration datasets. However, existing datasets, which primarily rely on human teleoperated robot collection, are limited in terms of scalability, trajectory smoothness, and applicability across different robotic embodiments in real-world environments. In this paper, we present FastUMI-100K, a large-scale UMI-style multimodal demonstration dataset, designed to overcome these limitations and meet the growing…

Variants of Baumgartner's Axiom for Lipschitz Functions on Baire and Cantor Space
Corey Bacal Switzer
https://arxiv.org/abs/2510.07917 https://arxiv.or…

Variants of Baumgartner's Axiom for Lipschitz Functions on Baire and Cantor Space
We consider several variants of Baumgartner's axiom for $\aleph_1$-dense sets defined on the Baire and Cantor spaces in terms of Lipschitz functions with respect to the usual metric. A variation of Baumgartner's original argument shows that these variants are consistent. However, unlike in the case of the classical $\mathsf{BA}$, we are able to give many applications for which the corresponding fact for linear orders is open. In particular we show that there are provable implications from the $…

Newton-Okounkov bodies for nested Hilbert schemes
Ian Cavey, Eugene Gorsky, Alexei Oblomkov, Joshua P. Turner
https://arxiv.org/abs/2510.07420 https://arxi…

Newton-Okounkov bodies for nested Hilbert schemes
We study sections of line bundles on the nested Hilbert scheme of points on the affine plane. We describe the spaces of sections in terms of certain ideals introduced by Haiman, and find explicit bases for them by analyzing the trailing terms in some monomial order. As a consequence, we compute the Newton-Okounkov bodies for nested Hilbert schemes.

Joint distributions of error terms for primes in arithmetic progressions modulo 11
K\"ubra Benl\.i, Greg Martin, Paul P\'eringuey
https://arxiv.org/abs/2510.05427 https…

Joint distributions of error terms for primes in arithmetic progressions modulo 11
We provide a formula for the logarithmic density of the set of positive real numbers on which two prime counting functions $ψ(x;q,a)$ and $ψ(x;q,b)$ are simultaneously larger than their asymptotic main terms, as well as a method for calculating the numerical values of such densities with rigorously bounded errors. We apply these formulas to the pairwise races in the case $q=11$, determining which pairs of residues $a$ and $b$ are more or less correlated in this way. The outcomes when $q=11$ p…

Lions agree to terms with DE Aidan Hutchinson on four-year extension https://www.nfl.com/news/lions-aidan-hutchinson-four-year-extension

LinkedIn will use your data to train its AI unless you opt out now
https://www.malwarebytes.com/blog/news/2025/09/linkedin-will-use-your-data-to-train-its-ai-unless-you-opt-out-now

LinkedIn will use your data to train its AI unless you opt out now
LinkedIn has changed its Terms to include users data for Microsoft's AI training. Read here how you can opt out

Good Morning #Canada
Before #WWII, Canada could still be considered a tiny nation in terms of our influence on world affairs. But after the conflict broke out, we contributed well beyond expectations and our navy was an example. The Royal Canadian Navy (RCN) started the war with only 13 vessels, but when WWII ended, we had the 4th largest navy in the world. By 1945 the RCN had 450 ships in all, plus many smaller auxiliary units. This 1945 figure breaks down as follows: 2 cruisers, 17 destroyers, 68 frigates, 112 corvettes, 67 minesweepers, 12 escort ships, 75 Fairmile motor launches. During WWII, Canadian shipyards built a total of 4,047 naval vessels and 410 merchant ships for a grand total of 4,457 ships. The naval vessels included over 300 anti-submarine warships, as well as thousands of landing craft, escort ships, minesweepers, and tugs.
#CanadaIsAwesome #RemembranceDay
https://www.britannica.com/topic/Royal-Canadian-Navy/Second-World-War

The chanciness of time
John M. Myers, Hadi Madjid
https://arxiv.org/abs/2511.08611 https://arxiv.org/pdf/2511.08611 https://arxiv.org/html/2511.08611
arXiv:2511.08611v1 Announce Type: new
Abstract: Digital network failures stemming from instabilities in measurements of temporal order motivate attention to concurrent events. A century of attempts to resolve the instabilities have never eliminated them. Do concurrent events occur at indeterminate times, or are they better seen as events to which the very concept of temporal order cannot apply? Logical dependencies of messages propagating through digital networks can be represented by marked graphs on which tokens are moved in formal token games. However, available mathematical formulations of these token games invoke "markings"-- global snapshots of the locations of tokens on the graph. The formulation in terms of global snapshots is misleading, because distributed networks are never still: they exhibit concurrent events inexpressible by global snapshots. We reformulate token games used to represent digital networks so as to express concurrency. The trick is to replace global snapshots with "local snapshots." Detached from any central clock, a local snapshot records an action at a node during a play of a token game. Assemblages of local records define acyclic directed graphs that we call history graphs. We show how history graphs represent plays of token games with concurrent motions, and, importantly, how history graphs can represent the history of a network operating while undergoing unpredictable changes.
toXiv_bot_toot

Updates to old posts:
1. https://adrianroselli.com/2020/01/defining-toast-messages.html#Update07 links to Adam Silver’s post on toasts:

Defining ‘Toast’ Messages
In current user interface terms a toast is a message that appears on the screen; it is often short, often appears only briefly, and often animates up from the bottom (like a piece of ghostly yet precisely-crafted toast), though other directions and a fade-in/-out is common. The Name When Google…

On actions and split extensions in varieties of hoops: the case of strong section
Manuel Mancini, Giuseppe Metere, Federica Piazza
https://arxiv.org/abs/2510.06886 https://

On actions and split extensions in varieties of hoops: the case of strong section
The aim of this article is to investigate internal actions and split extensions in the variety of hoops. We provide a characterization of split extensions with strong section in terms of strong external actions. Beyond the general setting of hoops, the study is extended to the subvarieties of basic hoops, Wajsberg hoops, Gödel hoops and product hoops. Within the setting of basic hoops and their bounded counterparts, BL-algebras, the double negation yields a significant example of split extensi…

The Discord Hack is Every Users’ Worst Nightmare https://www.404media.co/the-discord-hack-is-every-users-worst-nightmare/

foldoc: FOLDOC entries (2002)
A network of hyperlinks among entries in the Free On-line Dictionary of Computing (FOLDOC, www.foldoc.org), an online dictionary of acronyms and technical terms for computers. An edge points from i to j if the term j is referred to in the entry for term i. Edge weight denotes number of uses of the same term.
This network has 13356 nodes and 120238 edges.
Tags: Informational, Web graph, Weighted

Chaos envelopes Russia, but the cruelty is constant and growing.
With a mindset that defines existence in terms of opposition to the west, the rules of warfare and decency have been disowned.
Giorgio reports from the frontlines in Ukraine, the trenches of the war on democracy.
Trump won't allow US media to report truth - they all bent their knees to the pathetic monster.
Giorgio is not bound by Trump's corruption, he is an Italian hero who puts his life on the…

The White of Surrender, and The Black of Infamy
Live from Ukraine 🇺🇦

Semi-Implicit Central scheme for Hyperbolic Systems of Balance Laws with Relaxed Source Term
Sudipta Sahu, Emanuele Macca, Rathan Samala
https://arxiv.org/abs/2510.08134 https:/…

Semi-Implicit Central scheme for Hyperbolic Systems of Balance Laws with Relaxed Source Term
Quasi-linear hyperbolic systems with source terms introduce significant computational challenges due to the presence of a stiff source term. To address this, a finite volume Nessyahu-Tadmor (NT) central numerical scheme is explored and applied to benchmark models such as the Jin-Xin relaxation model, the shallow-water model, the Broadwell model, the Euler equations with heat transfer, and the Euler system with stiff friction to assess their effectiveness. The core part of this numerical scheme …

Generic Hecke algebras in the infinite
Davide Dal Martello
https://arxiv.org/abs/2510.08209 https://arxiv.org/pdf/2510.08209…

Generic Hecke algebras in the infinite
Aiming for a revival of the theory of crystallographic complex reflection groups, we compute (minimal) Coxeter-like reflection presentations for the infinite families of those non-genuine groups which satisfy Steinberg's fixed point theorem. These new presentations behave à la Coxeter, encoding many of the group's properties at a glance, and their signature feature -- named the $x$-relation -- is fully understood in terms of configuration spaces. Crucially, the presentations further achieve th…

"Qualcomm’s acquisition of Arduino and the company’s new Terms of Service sparks major concerns in the open source community over privacy and terms of service. What will happen to the Arduino open hardware and how does this effect Linux users?"
#Enshittification

Nonlinear System Identification for Model-Based Control of Waked Wind Turbines
Sebastiano Randino, Lorenzo Schena, Nicolas Coudou, Emanuele Garone, Miguel Alfonso Mendez
https://arxiv.org/abs/2510.07336

Nonlinear System Identification for Model-Based Control of Waked Wind Turbines
This work presents a nonlinear system identification framework for modeling the power extraction dynamics of wind turbines, including both freestream and waked conditions. The approach models turbine dynamics using data-driven power coefficient maps expressed as combinations of compact radial basis functions and polynomial bases, parameterized in terms of tip-speed ratio and upstream conditions. These surrogate models are embedded in a first-order dynamic system suitable for model-based control…

'Pfade und Wege' / 'paths and ways' (? Or trails 🤔) #FotoVorschlag
Yes, that's a topic for me again 😉
This is from a trail that I did a couple of times already in different seasons. And this sections just offers such a cool view to the south.
The trail itself varies quite a bit in all terms - which I totally like. Well - enjoy!

Many of the details of the agreement reached after 3 days of indirect talks in the Egyptian Red Sea resort of Sharm el-Sheikh remain unclear and challenges of implementing its terms are immense.
But in recent days, negotiators have closed gaps between Hamas and Israel over the details of the first phase of the 21-point plan announced by Trump in the White House last week.
It was not immediately certain whether the parties had made any progress on thornier questions about the futu…

US Catholic Bishops stand up for immigrants against the government
#uspol #usccb #immigration #catholic

Catholic Bishops Rebuke Trump’s Immigration Tactics in Rare Statement
In a rare statement, the bishops framed the immigration crisis in starkly moral terms. “We feel compelled now in this environment to raise our voices in defense of God-given human dignity,” they said.

Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) System
Darryl D. Holm, Ruiao Hu, Hanchun Wang
https://arxiv.org/abs/2510.02577 https://

Surface Wave Solutions in 1D and 2D for the Broer-Kaup-Boussinesq-Kupershmidt (BKBK) System
The BKBK system is a singular perturbation of the classical shallow water equations which modifies their transport velocity to depend on wave elevation slope. This modification introduces backward diffusion terms proportional to a real parameter $κ$. These terms also make BKBK completely integrable as a Hamiltonian system. Remarkably, when $κ=i/2$ the BKBK system may be transformed into the focusing nonlinear Schrödinger (NLS). Thus, the BKBK system with its real parameter $κ$ is complement…

Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities
Ahmad Z. Fino, Arl\'ucio Viana
https://arxiv.org/abs/2510.09258 https://…

Nonexistence of global solutions to the Grushin heat equation with nonlocal and local nonlinearities
In this paper, we investigate the nonexistence of global solutions to the Grushin-type heat equation with nonlinear reaction terms, including cases involving memory effects: $$ \left\{\begin{array}{ll} \displaystyle {u_{t}-Δ_{\mathcal{G}} u = k_1 \int_0^t(t-s)^{-γ}\abs{u}^{p_1-1}u(s)\,\mathrm{d}s} + k_2|u|^{p_2-1}u, & (z,t)\in {\mathbb{R}}^{N+k}\times (0,\infty), \displaystyle{u(z,0)= u_0(z),\qquad\qquad}&\displaystyle{z\in {\mathbb{R}}^{N+k},} \end{array} \right. $$ w…

Trump claims he and Xi Jinping approved a deal for TikTok's US operations; Chinese media's readout only says that China respects the wishes of businesses (Ben Berkowitz/Axios)
https://www.axios.com/2025/09/19/tiktok-trump-xi-deal-sale-terms

Trump suggests China approves TikTok deal, though app's fate still unclear
U.S. officials said earlier this week they had a framework deal with China on a sale.

After tonight's election results, I predict a lot of GOP retirement announcements as the mid-terms approach.

Quantizing Bosonized Fermi Surfaces
Sihan Chen, Luca V. Delacretaz
https://arxiv.org/abs/2510.07583 https://arxiv.org/pdf/2510.07583

Quantizing Bosonized Fermi Surfaces
Bosonization describes Fermi surface dynamics in terms of a collective field that lives on a part of phase space. While sensible semiclassically, the challenge of treating such a field quantum mechanically has prevented bosonization from providing as powerful a nonperturbative tool as in one dimension. We show that general Fermi surfaces can be exactly described by a particular $N\to \infty$ limit of a $U(N)_1$ WZW model, with a tower of irrelevant corrections. This matrix-valued description en…

At OpenAI's DevDay, Sam Altman and Jony Ive spoke in vague terms about the "family of devices" currently under development; Altman says "it will take a while" (Wired)
https://www.wired.com/story/sam-altman-and-jony-ives-ai-device-dev-day/

Jony Ive Says He Wants His OpenAI Devices to ‘Make Us Happy’
“I don’t think we have an easy relationship with our technology at the moment,” the former Apple designer said at OpenAI’s developer conference in San Francisco on Monday.

Simultaneous triangularization over max-algebras
Askar Ali M, Sachindranath Jayaraman, Himadri Mukherjee
https://arxiv.org/abs/2510.07855 https://arxiv.org…

Simultaneous triangularization over max-algebras
The purpose of this article is to investigate triangularization and simultaneous triangularization of matrices over max algebras using graph theoretic methods. We establish a connection between commutators and commutants with simultaneous triangularization over max algebras. We also define the notion of characteristic polynomial of a collection in terms of the tropical determinant and determine when it can be written as a product of linear terms.

Beyond Over-Refusal: Scenario-Based Diagnostics and Post-Hoc Mitigation for Exaggerated Refusals in LLMs
Shuzhou Yuan, Ercong Nie, Yinuo Sun, Chenxuan Zhao, William LaCroix, Michael F\"arber
https://arxiv.org/abs/2510.08158

Beyond Over-Refusal: Scenario-Based Diagnostics and Post-Hoc Mitigation for Exaggerated Refusals in LLMs
Large language models (LLMs) frequently produce false refusals, declining benign requests that contain terms resembling unsafe queries. We address this challenge by introducing two comprehensive benchmarks: the Exaggerated Safety Benchmark (XSB) for single-turn prompts, annotated with "Focus" keywords that identify refusal-inducing triggers, and the Multi-turn Scenario-based Exaggerated Safety Benchmark (MS-XSB), which systematically evaluates refusal calibration in realistic, context-rich dial…

Randomized and quantum approximate matrix multiplication
Simon Apers, Arjan Cornelissen, Samson Wang
https://arxiv.org/abs/2510.08509 https://arxiv.org/pdf…

Randomized and quantum approximate matrix multiplication
The complexity of matrix multiplication is a central topic in computer science. While the focus has traditionally been on exact algorithms, a long line of literature also considers randomized algorithms, which return an approximate solution in faster time. In this work, we adopt a unifying perspective that frames these randomized algorithms in terms of mean estimation. Using it, we first give refined analyses of classical algorithms based on random walks by Cohen-Lewis (`99), and based on sketc…

Complex Gaussianity and spatio-frequential memory effect of random wave processes
Guillaume Bal, Anjali Nair
https://arxiv.org/abs/2510.09402 https://arxiv…

Complex Gaussianity and spatio-frequential memory effect of random wave processes
Wavefield speckle patterns are generated by interference of randomly scattered coherent light. In the weak-coupling regime of the Itô-Schrödinger paraxial model for long-distance wave propagation, we show the following multiscale character: a macroscopic envelope solves a deterministic diffusion equation while the local wavefield (the speckle) is described by a complex Gaussian process both in terms of spatial axial and lateral displacements as well as frequency and angular variations of the …

Mailbag: Prescott, Pickens improving trust? https://www.dallascowboys.com/news/mailbag-prescott-pickens-improving-trust

Trump pardons major drug traffickers despite his anti-drug rhetoric
Donald Trump — who campaigned against America’s worsening drug crisis and promised to crack down on the illegal flow of deadly drugs coming across the border
— has pardoned or granted clemency to at least 10 people for drug-related crimes since the beginning of his second term, according to a Washington Post analysis.
He also granted pardons or commutations to almost 90 others for drug-related crimes duri…

Trump pardons major drug traffickers despite his anti-drug rhetoric
The president has granted clemency to about 100 people accused of drug-related crimes during his two terms in office, a Post analysis shows.

A possibility of describing a sequential gauge symmetry as a part of the dihedral flavor symmetry and its implications
Jae Jun Kim
https://arxiv.org/abs/2510.06155 https://

A possibility of describing a sequential gauge symmetry as a part of the dihedral flavor symmetry and its implications
We present a method in which the dimension-five and -six terms in a sequential gauge symmetry can coexist with that of the dihedral flavor symmetry. We start with the contents in the model proposed in a sequential gauge symmetry, meeting the conditions for the contents to be described in the flavor symmetry, build up the mass matrices and discuss its implications. Given that the breaking of the symmetry only takes place in the dimension-five and -six terms in the mass matrix of the charged ferm…

When any four solutions are independent
James Freitag
https://arxiv.org/abs/2510.08387 https://arxiv.org/pdf/2510.08387

When any four solutions are independent
We show that if any four distinct solutions of a rational difference equation are algebraically independent, then any number of distinct solutions to the equation are independent. A nontrivial variant of this result is given for autonomous difference equations or algebraic dynamical systems, where we show the degree of nonminimality is at most one. The results have a natural interpretation in terms of invariant or periodic subvarieties of algebraic dynamical systems and $σ$-varieties. Surprisi…

Dynamic Regret Bounds for Online Omniprediction with Long Term Constraints
Yahav Bechavod, Jiuyao Lu, Aaron Roth
https://arxiv.org/abs/2510.07266 https://a…

Dynamic Regret Bounds for Online Omniprediction with Long Term Constraints
We present an algorithm guaranteeing dynamic regret bounds for online omniprediction with long term constraints. The goal in this recently introduced problem is for a learner to generate a sequence of predictions which are broadcast to a collection of downstream decision makers. Each decision maker has their own utility function, as well as a vector of constraint functions, each mapping their actions and an adversarially selected state to reward or constraint violation terms. The downstream dec…

Cowboys, Tyler Smith agree to terms on $96 million extension to become highest-paid guard in NFL https://www.nfl.com/news/cowboys-tyler-smith-agree-to-terms-on-96-million-extension

"Look Out for These 8 Big Ag Greenwashing Terms at COP30"
#COP30 #ClimateSummit #Greenwashing

Look Out for These 8 Big Ag Greenwashing Terms at This Year’s Climate Summit
Food and farming companies at COP30 in Brazil will claim agriculture is the solution to climate change — even though food systems drive a third of global warming.

Efficient Prompt Optimisation for Legal Text Classification with Proxy Prompt Evaluator
Hyunji Lee, Kevin Chenhao Li, Matthias Grabmair, Shanshan Xu
https://arxiv.org/abs/2510.08524

Efficient Prompt Optimisation for Legal Text Classification with Proxy Prompt Evaluator
Prompt optimization aims to systematically refine prompts to enhance a language model's performance on specific tasks. Fairness detection in Terms of Service (ToS) clauses is a challenging legal NLP task that demands carefully crafted prompts to ensure reliable results. However, existing prompt optimization methods are often computationally expensive due to inefficient search strategies and costly prompt candidate scoring. In this paper, we propose a framework that combines Monte Carlo Tree Sea…

WhatsApp updates its Business API terms to ban general-purpose chatbots starting January 15, 2026, affecting WhatsApp assistants of OpenAI, Perplexity, others (Ivan Mehta/TechCrunch)
https://techcrunch.com/2025/10/18/whatssapp-…

WhatssApp changes its terms to bar general purpose chatbots from its platform | TechCrunch
WhatsApp is banning general purpose chatbots from using its Business API

Semi-implicit strategies for the Serre-Green-Naghdi equations in hyperbolic form. Is hyperbolic relaxation really a good idea?
Emanuele Macca, Walter Boscheri, Mario Ricchiuto
https://arxiv.org/abs/2510.07539

Semi-implicit strategies for the Serre-Green-Naghdi equations in hyperbolic form. Is hyperbolic relaxation really a good idea?
The Serre-Green-Naghdi (SGN) equations provide a valuable framework for modelling fully nonlinear and weakly dispersive shallow-water flows. However, their elliptic formulation can considerably increase the computational cost compared to the Saint-Venant equations. To overcome this difficulty, hyperbolic models (hSGN) have been proposed that replace the elliptic operators with first-order hyperbolic formulations augmented by relaxation terms, which recover the original elliptic formulation in t…

Mailbag: Prescott, Pickens improving trust? https://www.dallascowboys.com/news/mailbag-prescott-pickens-improving-trust

Computations and ML for surjective rational maps
Ilya Karzhemanov
https://arxiv.org/abs/2510.08093 https://arxiv.org/pdf/2510.08093

Computations and ML for surjective rational maps
The present note studies \emph{surjective rational endomorphisms} $f: \mathbb{P}^2 \dashrightarrow \mathbb{P}^2$ with \emph{cubic} terms and the indeterminacy locus $I_f \ne \emptyset$. We develop an experimental approach, based on some Python programming and Machine Learning, towards the classification of such maps; a couple of new explicit $f$ is constructed in this way. We also prove (via pure projective geometry) that a general non-regular cubic endomorphism $f$ of $\mathbb{P}^2$ is surject…

On the decimal digits of $1/p$
Kurt Girstmair
https://arxiv.org/abs/2510.07873 https://arxiv.org/pdf/2510.07873

On the decimal digits of $1/p$
Let $p$ be a prime $\equiv 3$ mod 4, $p>3$, and suppose that 10 has the order $(p-1)/2$ mod p. Then $1/p$ has a decimal period of length $(p-1)/2$. We express the frequency of each digit $0,\LD,9$ in this period in terms of the class numbers of two imaginary quadratic number fields. We also exhibit certain analogues of this result, so for the case that 10 is a primitive root mod $p$ and for octal digits of $1/p$.

METRICALARGS: A Taxonomy for Studying Metrical Poetry with LLMs
Chalamalasetti Kranti, Sowmya Vajjala
https://arxiv.org/abs/2510.08188 https://arxiv.org/pd…

METRICALARGS: A Taxonomy for Studying Metrical Poetry with LLMs
Prior NLP work studying poetry has focused primarily on automatic poem generation and summarization. Many languages have well-studied traditions of poetic meter which enforce constraints on a poem in terms of syllable and phoneme patterns. Such advanced literary forms offer opportunities for probing deeper reasoning and language understanding in Large Language Models (LLMs) and their ability to follow strict pre-requisites and rules. In this paper, we introduce MetricalARGS, the first taxonomy …

Slepton pair production at next-to-leading power
Lasse Lorentz Braseth, Tore Klungland, Are Raklev
https://arxiv.org/abs/2510.07397 https://arxiv.org/pdf/2…

Slepton pair production at next-to-leading power
Near threshold, cross sections for the production of heavy particles are sensitive to large logarithmic terms, which must be resummed to all orders in perturbation theory. Current state-of-the art calculations for inclusive slepton pair production at hadron colliders has focused on higher-order logarithms in the leading power of the threshold variable. Here, we evaluate the next-to-leading power contribution in the threshold variable to leading logarithmic accuracy. We find that the next-to-lea…

AMAQ: Adaptive Mixed-bit Activation Quantization for Collaborative Parameter Efficient Fine-tuning
Yurun Song, Zhuoyi Yang, Ian G. Harris, Sangeetha Abdu Jyothi
https://arxiv.org/abs/2510.05468

AMAQ: Adaptive Mixed-bit Activation Quantization for Collaborative Parameter Efficient Fine-tuning
Large Language Models (LLMs) are scaling rapidly, creating significant challenges for collaborative server client distributed training, particularly in terms of communication efficiency and computational overheads. To address these challenges, we implement Parameter-efficient Split Learning, which effectively balances efficiency and performance for collaborative training on low-resource devices. To reduce communication overhead in collaborative training, we introduce Adaptive Mixed bit Activa…

On convergence structures in infinite graphs
Paulo S\'ergio Farias Magalh\~aes Junior, Renan Maneli Mezabarba, Rodrigo Santos Monteiro
https://arxiv.org/abs/2510.06336 https…

On convergence structures in infinite graphs
It is well known that a graph admits a natural closure operator defined on its vertex set, which also corresponds to a pretopology. In this paper, we describe the classical pretopology on a graph in terms of nets, with the aim of relating combinatorial properties to convergence properties.

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
Danylo Radchenko, Qihang Sun
https://arxiv.org/abs/2510.04873 https://arxiv.…

Fourier interpolation in dimensions 3 and 4 and real-variable Kloosterman sums
We give a construction of radial Fourier interpolation formulas in dimensions 3 and 4 using Maass--Poincaré type series. As a corollary we obtain explicit formulas for the basis functions of these interpolation formulas in terms of what we call real-variable Kloosterman sums, which were previously introduced by Stoller. We also improve the bounds on the corresponding basis functions $a_{n,d}(x)$, $d=3,4$, for fixed $x$, in terms of the index $n$.

Trump claims he and Xi Jinping approved a deal for TikTok's US operations; Chinese media's readout only says that China respects the wishes of businesses (Ben Berkowitz/Axios)
https://www.axios.com/2025/09/19/tiktok-trump-xi-deal-sale-terms

Trump suggests China approves TikTok deal, though app's fate still unclear
U.S. officials said earlier this week they had a framework deal with China on a sale.

Starting Jan. 1, New Hampshire’s Medicaid program will stop covering GLP-1 drugs
— Wegovy, Zepbound, and others
— for weight loss.
“We looked at the way that the state was supporting coverage for GLP-1 medicines
and found that this was a fairly significant cost driver,”
Gov. Kelly Ayotte told reporters on Wednesday.
“And so we looked at the medically necessary reasons for it in terms of those who had pre-existing conditions
and made the decision work…

Quantum Entanglement without Spin-Analyzing Power Dependence at the Colliders
Junle Pei, Tianjun Li, Lina Wu, Xiqing Hao, Xiaochuan Wang
https://arxiv.org/abs/2510.08031 https:/…

Quantum Entanglement without Spin-Analyzing Power Dependence at the Colliders
We study the quantum entanglement at the colliders which is independent of the spin-analyzing powers. Taking $Λ(\to pπ^-)\barΛ(\to \bar{p}π^+)$ as an example, we investigate whether quantum entanglement in fermion pairs produced at colliders can be certified by using only angular information from final-state decays, while remaining independent of the parity-violating decay parameters $α_Λ$ and $α_{\barΛ}$. Building on a general decomposition of any angular observable in terms of Wigner …

The $n^{th}$ centered moments of a large orthogonal family of automorphic $L$-functions
Vorrapan Chandee, Yoonbok Lee, Xiannan Li
https://arxiv.org/abs/2510.07647 https://

The $n^{th}$ centered moments of a large orthogonal family of automorphic $L$-functions
We obtain the $n$th centered moments of one level densities of a large orthogonal family of $L$-functions associated with holomorphic Hecke newforms of level $q$, averaged over $q\sim Q$. We verify the Katz-Sarnak conjecture for these statistics, in the range where the sum of the supports of the Fourier transforms of test functions lies in $(-4, 4)$. In so doing, we need to understand certain phantom oversized terms, which allow us to extract the right off-diagonal contributions. We further nee…

DiffSDA: Unsupervised Diffusion Sequential Disentanglement Across Modalities
Hedi Zisling, Ilan Naiman, Nimrod Berman, Supasorn Suwajanakorn, Omri Azencot
https://arxiv.org/abs/2510.05717

DiffSDA: Unsupervised Diffusion Sequential Disentanglement Across Modalities
Unsupervised representation learning, particularly sequential disentanglement, aims to separate static and dynamic factors of variation in data without relying on labels. This remains a challenging problem, as existing approaches based on variational autoencoders and generative adversarial networks often rely on multiple loss terms, complicating the optimization process. Furthermore, sequential disentanglement methods face challenges when applied to real-world data, and there is currently no es…

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 $\sumelements$.

Three liberal justices won another 10-year term on the Pennsylvania supreme court,
giving Democrats a key victory and allowing them to maintain their 5-2 advantage on a vital body that could issue important rulings on abortion and voting rights in an important battleground state in the coming years.