Tootfinder

hello my #fuckaas friends in my phone
you know about mastodon. you may have heard of lemmy, the fedi equivalent of reddit, or pixelfed, the fedi equivalent of Instagram, or bookwyrm, the Goodreads equivalent.
but did you know there's like 8 bajillion other things in the fediverse that you can check out and start using in place of corporate-captured platforms? it's true!

delightful-fediverse-experience
A curated list of server applications supported on the ActivityPub Fediverse and related standards.

Breach at South Korea’s Equivalent of Amazon Exposed Data of Almost Every Adult

Uniqueness of purifications is equivalent to Haag duality
Lauritz van Luijk, Alexander Stottmeister, Henrik Wilming
https://arxiv.org/abs/2509.12911 https://

Uniqueness of purifications is equivalent to Haag duality
The uniqueness of purifications of quantum states on a system $A$ up to local unitary transformations on a purifying system $B$ is central to quantum information theory. We show that, if the two systems are modelled by commuting von Neumann algebras $M_A$ and $M_B$ on a Hilbert space $\mathcal H$, then uniqueness of purifications is equivalent to Haag duality $M_A = M_B'$. In particular, the uniqueness of purifications can fail in systems with infinitely many degrees of freedom -- even when $M_…

YouTube's creative ecosystem added over €7B to the EU's GDP in 2024 and supported 200K full-time equivalent jobs, according to advising firm Oxford Economics (David Wheeldon/YouTube Official Blog)
https://blog.youtube/inside-youtube/2025-youtube-europe-impact-…

New report explores YouTube's growing impact in Europe
YouTube’s creative ecosystem added over €7B to the EU’s GDP in 2024, while supporting over 200,000 jobs.

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

I have a question about elliptic curve cryptography: I assumed the order of a curve's bit length is equivalent to the private key size. Yet...
sect233k1 has 0x8000000000000000000000000000069d5bb915bcd46efb1ad5f173abdf group order, which is 232 bit. Wouldn't we expect sect*233*k1 to be 233 bit long? (similar with sect409k1, where the order is 407 bit).
Those are binary curves, and, honestly, I don't even know what that means... anything different in the world of binary c…

YouTube's creative ecosystem added over €7B to the EU's GDP in 2024 and supported 200K full-time equivalent jobs, according to advising firm Oxford Economics (David Wheeldon/YouTube Official Blog)
https://blog.youtube/inside-youtube/2025-youtube-europe-impact-…

New report explores YouTube's growing impact in Europe
YouTube’s creative ecosystem added over €7B to the EU’s GDP in 2024, while supporting over 200,000 jobs.

The environmental sciences have been modeling pollution for over 100 years, creating a large set of mathematical tools to model and understand pollution and its impact on the environment.
A famous example is the Streeter-Phelps equation, made to study the pollution of of the Ohio River and that has helped understand if or how a stream can support life at different times/distances from the pollution.
Is there an equivalent for digital pollution?
🧵 4/X
https://en.wikipedia.org/wiki/Streeter–Phelps_equation

Wave maps from circle to Riemannian manifold: global controllability is equivalent to homotopy
Jean-Michel Coron, Joachim Krieger, Shengquan Xiang
https://arxiv.org/abs/2509.12779

Wave maps from circle to Riemannian manifold: global controllability is equivalent to homotopy
We study wave maps from the circle to a general compact Riemannian manifold. We prove that the global controllability of this geometric equation is characterized precisely by the homotopy class of the data. As a remarkable intermediate result, we establish uniform-time global controllability between steady states, providing a partial answer to an open problem raised by Dehman, Lebeau and Zuazua (2003). Finally, we obtain quantitative exponential stability around closed geodesics with negative s…

cattle: Dairy cattle (1955)
Dominance interactions among a group of dairy cattle at the Iberia Livestock Experiment Station in Jenerette, Louisiana. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 28 nodes and 217 edges.
Tags: Social, Animal, Weighted
https://ne…

From @…
"The ACT is our mini-Washington DC. Canberra gets teased a lot, mostly by people who’ve never been. But Australia’s capital is a beautifully designed city surrounded by bushland.
It offers the ultimate mix of civics and scenery. You can visit Parliament House in the morning, the National Gallery at lunch, and still have time fo…

Something nice about each state and territory 
Welcome to the demographic equivalent of rival compliments with something nice about every Australian state and territory. 

❝Americans are democracy’s equivalent of second-generation wealth. They were born into democracy and have no appreciation of what life is like without it.❞
https://www.theguardian.com/world/2025/oct/14/wang-jian-china-journalist-reports-united-states-donald-trump-xi-jinping

Significant inference and confidence sets for graphical models
P. A. Koldanov, A. P. Koldanov
https://arxiv.org/abs/2509.12292 https://arxiv.org/pdf/2509.1…

Significant inference and confidence sets for graphical models
The problem of identifying statistically significant inferences about the structure of the graphical model is considered, along with the related task of constructing a confidence set for a graphical model. It has been proven that the procedure for constructing such set is equivalent to the procedure for simultaneous testing of hypotheses and alternatives regarding the composition of the graphical model. Some variants of the simultaneous testing of hypotheses and alternatives are discussed. It i…

"Inhalers drive carbon emissions equivalent to 530,000 cars each year, study shows"
#Inhalers #Climate #ClimateChange

Inhalers drive carbon emissions equivalent to 530,000 cars each year, study shows
Inhalers are the frontline treatment for asthma and COPD, but they come with a steep environmental cost, according to a new UCLA Health study—the largest to date quantifying inhaler-related emissions in the United States.

rhesus_monkey: Rhesus monkey grooming (1963)
Grooming interactions among a group of wild adult rhesus monkeys (Macaca mulatta) in Cayo Santiago, during a two month period in 1963. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 16 nodes and 111 edges.
Tags: Social, Animal, Weighted

Exploring the spatially-resolved capabilities of the J-PAS survey with Py2DJPAS
J. E. Rodr\'iguez-Mart\'in, L. A. D\'iaz-Garc\'ia, R. M. Gonz\'alez Delgado, G. Mart\'inez-Solaeche, R. Garc\'ia-Benito, A. de Amorim, J. Thain\'a-Batista, R. Cid Fernandes, I. M\'arquez, A. Fern\'andez-Soto, I. Breda, R. Abramo, J. Alcaniz, N. Ben\'itez, S. Bonoli, S. Carneiro, A. J. Cenarro, D. Crist\'obal-Hornillos, R. A. Dupke, A. Ederoclite, A. Hern\'…

Exploring the spatially-resolved capabilities of the J-PAS survey with Py2DJPAS
We present Py2DJPAS, a Python-based tool to automate the analysis of spatially resolved galaxies in the \textbf{miniJPAS} survey, a 1~deg$^2$ precursor of the J-PAS survey, using the same filter system, telescope, and Pathfinder camera. Py2DJPAS streamlines the entire workflow: downloading scientific images and catalogs, performing PSF homogenization, masking, aperture definition, SED fitting, and estimating optical emission line equivalent widths via an artificial neural network. We validate…

The Axiom of Real Determinacy and the Axiom of Real Blackwell Determinacy
Daisuke Ikegami, W. Hugh Woodin
https://arxiv.org/abs/2510.11034 https://arxiv.or…

The Axiom of Real Determinacy and the Axiom of Real Blackwell Determinacy
We show that the Axiom of Real Determinacy $\mathsf{AD}_{\mathbb{R}}$ and the Axiom of Real Blackwell Determinacy $\mathsf{Bl}\text{-}\mathsf{AD}_{\mathbb{R}}$ are equivalent in $\mathsf{ZF}$+$\mathsf{DC}$. This answers the question of Löwe [15, Question 53]. While we do not know whether they are equivalent in $\mathsf{ZF}$+$\mathsf{AC}_ω (\mathbb{R})$, we show that the theories $\mathsf{ZF}$+$\mathsf{AD}_{\mathbb{R}}$ and $\mathsf{ZF}$+$\mathsf{AC}_ω (\mathbb{R})$+$\mathsf{Bl}\text{-}\maths…

Sample-Efficient Omniprediction for Proper Losses
Isaac Gibbs, Ryan J. Tibshirani
https://arxiv.org/abs/2510.12769 https://arxiv.org/pdf/2510.12769

Sample-Efficient Omniprediction for Proper Losses
We consider the problem of constructing probabilistic predictions that lead to accurate decisions when employed by downstream users to inform actions. For a single decision maker, designing an optimal predictor is equivalent to minimizing a proper loss function corresponding to the negative utility of that individual. For multiple decision makers, our problem can be viewed as a variant of omniprediction in which the goal is to design a single predictor that simultaneously minimizes multiple los…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[9/14]:
- Equivalent Linear Mappings of Large Language Models
James R. Golden
https://

Optimal Conformal Prediction, E-values, Fuzzy Prediction Sets and Subsequent Decisions
Nick W. Koning, Sam van Meer
https://arxiv.org/abs/2509.13130 https://

Optimal Conformal Prediction, E-values, Fuzzy Prediction Sets and Subsequent Decisions
We make three contributions to conformal prediction. First, we propose fuzzy conformal confidence sets that offer a degree of exclusion, generalizing beyond the binary inclusion/exclusion offered by classical confidence sets. We connect fuzzy confidence sets to e-values to show this degree of exclusion is equivalent to an exclusion at different confidence levels, capturing precisely what e-values bring to conformal prediction. We show that a fuzzy confidence set is a predictive distribution wit…

K-Theory and Structural Properties of $C^*$-Algebras Associated with Relative Generalized Boolean Dynamical Systems
Toke Meier Carlsen, Eun Ji Kang
https://arxiv.org/abs/2509.12738

K-Theory and Structural Properties of $C^*$-Algebras Associated with Relative Generalized Boolean Dynamical Systems
We present an explicit formula for the $K$-theory of the $C^*$-algebra associated with a relative generalized Boolean dynamical system $(\CB, \CL, θ, \CI_\af; \CJ)$. In particular, we find concrete generators for the $K_1$-group of $C^*(\CB, \CL, θ, \CI_\af; \CJ)$. We also prove that every gauge-invariant ideal of $C^*(\CB, \CL, θ, \CI_\af; \CJ)$ is Morita equivalent to a $C^*$-algebra of a relative generalized Boolean dynamical system. As a structural application, we show that if the unde…

Important decision for #V2G in Germany: parliament approves a legislative amendment that exempts electricity stored and supplied by bidirectional charging cars from energy tax and network costs. This makes the business case viable (and equivalent to large stationary batteries).

Bund ebnet Weg für bidirektionales Laden - electrive.net
Der Bundestag hat überraschend eine wichtige Entscheidung zur bisherigen Mehrfach-Belastung von Strom beim bidirektionalen Laden getroffen. Die Netzentgelte

Inhalers drive carbon emissions equivalent to 530,000 cars each year, study shows
https://phys.org/news/2025-10-inhalers-carbon-emissions-equivalent-cars.html

Neural Guided Sampling for Quantum Circuit Optimization
Bodo Rosenhahn, Tobias J. Osborne, Christoph Hirche
https://arxiv.org/abs/2510.12430 https://arxiv.…

Neural Guided Sampling for Quantum Circuit Optimization
Translating a general quantum circuit on a specific hardware topology with a reduced set of available gates, also known as transpilation, comes with a substantial increase in the length of the equivalent circuit. Due to decoherence, the quality of the computational outcome can degrade seriously with increasing circuit length. Thus, there is major interest to reduce a quantum circuit to an equivalent circuit which is in its gate count as short as possible. One method to address efficient transpi…

A Note on Subadditivity of Value at Risks (VaRs): A New Connection to Comonotonicity
Yuri Imamura, Takashi Kato
https://arxiv.org/abs/2509.12558 https://ar…

A Note on Subadditivity of Value at Risks (VaRs): A New Connection to Comonotonicity
In this paper, we provide a new property of value at risk (VaR), which is a standard risk measure that is widely used in quantitative financial risk management. We show that the subadditivity of VaR for given loss random variables holds for any confidence level if and only if those are comonotonic. This result also gives a new equivalent condition for the comonotonicity of random vectors.

Topological weak containment
Riley Thornton
https://arxiv.org/abs/2510.10882 https://arxiv.org/pdf/2510.10882

Topological weak containment
We build on work of Elek and Zucker and develop a topological analogue of the theory of weak containment. We show that definitions in terms of local patterns, containment in ultra(co)products, and continuous model theory are all equivalent, just as in ergodic theory. And, for actions on Cantor space, we show these are all equivalent to approximate conjugacy. Restricting our attention to Cantor space, we connect this theory to questions about generic actions. We show how the shape of the space…

«Milei has dashed his ship of state against the rocks, quite simply, because he followed the cracked compass called libertarianism. Libertarianism doesn’t work. Its core assumptions aren’t true. It’s the intellectual equivalent of huffing paint. But the pro-capitalist press outside #Argentina, for their part, ignored Milei’s obvious flaws and hyped him up because they wanted him to be the real deal.»
The article shows how other countries want to run off that cliff too…
https://www.currentaffairs.org/news/this-is-why-you-dont-let-libertarians-run-your-country

On Equivalent Characterizations of NP in Abstract Models of Computation
Jeremy C. Kirn, Lucas Meijer, Tillmann Miltzow, Hans L. Bodlaender
https://arxiv.org/abs/2510.05894 https…

On Equivalent Characterizations of NP in Abstract Models of Computation
We investigate machine models similar to Turing machines that are augmented by the operations of a first-order structure $\mathcal{R}$, and we show that under weak conditions on $\mathcal{R}$, the complexity class $\text{NP}(\mathcal{R})$ may be characterized in three equivalent ways: (1) by polynomial-time verification algorithms implemented on $\mathcal{R}$-machines, (2) by the $\text{NP}(\mathcal{R})$-complete problem $\text{SAT}(\mathcal{R})$, and (3) by existential second-order metafinite …

Is the World Cup really the equivalent of 104 Super Bowls? https://www.nytimes.com/athletic/6823244/2025/11/28/is-the-world-cup-really-the-equivalent-of-104-super-bowls/

🫁 Inhalers drive carbon emissions equivalent to 530,000 cars each year, study shows
#asthma

Inhalers drive carbon emissions equivalent to 530,000 cars each year, study shows
Inhalers are the frontline treatment for asthma and COPD, but they come with a steep environmental cost, according to a new UCLA Health study—the largest to date quantifying inhaler-related emissions in the United States.

Totally paracompact spaces and the Menger covering property
Davide Giacopello, Maddalena Bonanzinga, Piotr Szewczak
https://arxiv.org/abs/2511.10252 https://arxiv.org/pdf/2511.10252 https://arxiv.org/html/2511.10252
arXiv:2511.10252v1 Announce Type: new
Abstract: A topological space is totally paracompact if any base of this space contains a locally finite subcover. We focus on a problem of Curtis whether in the class of regular Lindel\"of spaces total paracompactness is equivalent to the Menger covering property. To this end we consider topological spaces with certain dense subsets. It follows from our results that the above equivalence holds in the class of Lindel\"of GO-spaces defined on subsets of reals. We also provide a game-theoretical proof that any regular Menger space is totally paracompact and show that in the class of first-countable spaces the Menger game and a partial open neighborhood assignment game of Aurichi are equivalent. We also show that if $\mathfrak{b}=\omega_1$, then there is an uncountable subspace of the Sorgenfrey line whose all finite powers are Lindel\"of, which is a strengthening of a famous result due to Michael.
toXiv_bot_toot

I migrated to #Bandcamp in early 2022 before #Spotify started serving #ICE as “free content.”
Collection 246
Wishlist 155

Exact Matching and Top-k Perfect Matching Parameterized by Neighborhood Diversity or Bandwidth
Nicolas El Maalouly, Kostas Lakis
https://arxiv.org/abs/2510.12552 https://…

Exact Matching and Top-k Perfect Matching Parameterized by Neighborhood Diversity or Bandwidth
The Exact Matching (EM) problem asks whether there exists a perfect matching which uses a prescribed number of red edges in a red/blue edge-colored graph. While there exists a randomized polynomial-time algorithm for the problem, only some special cases admit a deterministic one so far, making it a natural candidate for testing the P=RP hypothesis. A polynomial-time equivalent problem, Top-k Perfect Matching (TkPM), asks for a perfect matching maximizing the weight of the $k$ heaviest edges. …

Spatial two-grid compact difference scheme for two-dimensional nonlinear diffusion-wave equations with variable exponent
Hao Zhang, Kexin Li, Wenlin Qiu
https://arxiv.org/abs/2510.12188

Spatial two-grid compact difference scheme for two-dimensional nonlinear diffusion-wave equations with variable exponent
This paper presents a spatial two-grid (STG) compact difference scheme for a two-dimensional (2D) nonlinear diffusion-wave equation with variable exponent, which describes, e.g., the propagation of mechanical diffusive waves in viscoelastic media with varying material properties. Following the idea of the convolution approach, the diffusion-wave model is first transformed into an equivalent formulation. A fully discrete scheme is then developed by applying a compact difference approximation in …

A recursive definition for the polymatroid Tutte polynomial
Xiaxia Guan, Xian'an Jin, Weiling Yang
https://arxiv.org/abs/2510.11046 https://arxiv.org/p…

A recursive definition for the polymatroid Tutte polynomial
The Tutte polynomial is a significant invariant of graphs and matroids. It is well-known that it has three equivalent definitions: bases expansion, rank generating function, and deletion-contraction formula. The polymatroid Tutte polynomial $\mathscr{T}_{P}$ generalizes the Tutte polynomial from matroids to polymatroids $P$. In \emph{[Adv. Math. 402 (2022) 108355.]} and \emph{[J. Combin. Theory Ser. A 188 (2022) 105584]}, the authors provided bases expansion and rank generating function constru…

The Log-Rank Conjecture: New Equivalent Formulations
Lianna Hambardzumyan, Shachar Lovett, Morgan Shirley
https://arxiv.org/abs/2510.02583 https://arxiv.or…

The Log-Rank Conjecture: New Equivalent Formulations
The log-rank conjecture is a longstanding open problem with multiple equivalent formulations in complexity theory and mathematics. In its linear-algebraic form, it asserts that the rank and partitioning number of a Boolean matrix are quasi-polynomially related. We propose a relaxed but still equivalent version of the conjecture based on a new matrix parameter, signed rectangle rank: the minimum number of all-1 rectangles needed to express the Boolean matrix as a $\pm 1$-sum. Signed rectangle …

Equivalence criteria for the two--term functional equations for Herglotz--Zagier functions
Sumukha Sathyanarayana, N. Guru Sharan
https://arxiv.org/abs/2510.10088 https://

Equivalence criteria for the two--term functional equations for Herglotz--Zagier functions
We establish Kronecker limit type formula for the generalized Mordell-Tornheim zeta function $Θ(r,r,t,x)$ as a function of the third argument around $t=1-r$. We then show that the above Kronecker limit type formula is equivalent to the two-term functional equation for the higher Herglotz function obtained by Vlasenko and Zagier. We also show the equivalence between a previously known Kronecker limit type formula for $Θ(1,1,t,x)$ around $t=0$ and the two-term functional equation for the Herglo…

Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
Katrin F\"Assler, Enrico Le Donne, Sebastiano Nicolussi Golo, Alessandro Ottazzi, Pierre Pansu
https://arxiv.org/abs/2510.12161

Quasi-conformal VS quasi-isometric equivalence in spaces with controlled growth
We study conditions under which quasi-conformal homeomorphisms are quasi-isometries. We show that if two nilpotent geodesic Lie groups are quasi-conformally homeomorphic, then they are quasi-isometrically equivalent. We also give more general results beyond the nilpotent case. In particular, we show that quasi-conformal homeomorphisms between geodesic Lie groups are quasi-isometries whenever the spaces have strict parabolic or hyperbolic conformal type. As a consequence, quasi-conformal homeomo…

Evidence for easy-plane XY ferromagnetism in heavy-fermion quantum-critical CeRh6Ge4
Riku Yamamoto, Sejun Park, Zachary W. Riedel, Phurba Sherpa, Joe D. Thompson, Filip Ronning, Eric D. Bauer, Adam P. Dioguardi, Michihiro Hirata
https://arxiv.org/abs/2510.12006

Evidence for easy-plane XY ferromagnetism in heavy-fermion quantum-critical CeRh6Ge4
We report $^{73}$Ge nuclear quadrupole resonance (NQR) and magnetic resonance (NMR) spectroscopy in the heavy-fermion quantum-critical ferromagnet CeRh$_6$Ge$_4$. NQR and NMR spectral measurements at the two non-equivalent Ge sites reveal electric field gradient tensors and the directions of their principal axes relative to the hexagonal basal plane. The spin-lattice relaxation rate $1/T_1$ experiments reveal a clear critical slowing down approaching the ferromagnetic transition. $1/T_1$ in the…

A note on irreducibility for topical maps
Brian Lins
https://arxiv.org/abs/2510.12522 https://arxiv.org/pdf/2510.12522

A note on irreducibility for topical maps
Topical maps are a nonlinear generalization of nonnegative matrices acting on the interior of the standard cone $\mathbb{R}^n_{\ge 0}$. Several analogues of irreducibility have been defined for topical maps, and all are sufficient to guarantee the existence of entrywise positive eigenvectors. In this note, we organize several of these notions, showing which conditions are stronger and when different types of irreducibility are equivalent. We also consider how to computationally check the condit…

Binary Choice Games and Arithmetical Comprehension
Juan Pablo Aguilera, Thibaut Kouptchinsky
https://arxiv.org/abs/2510.12612 https://arxiv.org/pdf/2510.12…

Binary Choice Games and Arithmetical Comprehension
We prove that Arithmetical Comprehension is equivalent to the determinacy of all clopen integer games in which each player has at most two moves per turn.

MetaLogic: Robustness Evaluation of Text-to-Image Models via Logically Equivalent Prompts
Yifan Shen, Yangyang Shu, Hye-young Paik, Yulei Sui
https://arxiv.org/abs/2510.00796 ht…

MetaLogic: Robustness Evaluation of Text-to-Image Models via Logically Equivalent Prompts
Recent advances in text-to-image (T2I) models, especially diffusion-based architectures, have significantly improved the visual quality of generated images. However, these models continue to struggle with a critical limitation: maintaining semantic consistency when input prompts undergo minor linguistic variations. Despite being logically equivalent, such prompt pairs often yield misaligned or semantically inconsistent images, exposing a lack of robustness in reasoning and generalisation. To ad…

Interesting, a lab that wants to build opensource (!) attracts a lot of funding 🤔
Reflection AI raises $2B to be America's open frontier AI lab, challenging DeepSeek | TechCrunch https://techcrunch.com/2025/10/09/reflection-…

Reflection AI raises $2B to be America's open frontier AI lab, challenging DeepSeek | TechCrunch
Reflection, once focused on autonomous coding agents, has raised $2B at an $8B valuation to expand into both an opensource alternative to closed frontier labs like OpenAI and Anthropic, and a Western equivalent to Chinese AI firms like DeepSeek.

PyMigTool: a tool for end-to-end Python library migration
Mohayeminul Islam, Ajay Kumar Jha, May Mahmoud, Sarah Nadi
https://arxiv.org/abs/2510.08810 https://

PyMigTool: a tool for end-to-end Python library migration
Library migration is the process of replacing a library with a similar one in a software project. Manual library migration is time consuming and error prone, as it requires developers to understand the Application Programming Interfaces (API) of both libraries, map equivalent APIs, and perform the necessary code transformations. Due to the difficulty of the library migration process, most of the existing automated techniques and tooling stop at the API mapping stage or support a limited set of …

Reconstruction of tensor categories of type $G_2$
Lilit Martirosyan, Hans Wenzl
https://arxiv.org/abs/2510.09922 https://arxiv.org/pdf/2510.09922

Reconstruction of tensor categories of type $G_2$
We prove that any non-symmetric ribbon tensor category $\mathcal{C}$ with the fusion rules of the compact group of type $G_2$ needs to be equivalent to the representation category of the corresponding Drinfeld-Jimbo quantum group for $q$ not a root of unity. We also prove an analogous result for the corresponding finite fusion tensor categories.

Relativistic Particle on Light-Front
Junmou Chen
https://arxiv.org/abs/2510.08983 https://arxiv.org/pdf/2510.08983

Relativistic Particle on Light-Front
We study Wigner's classification of massive one particle state in a general moving frame in the front form of Lorentz group, characterized and labeled by a special null vector -- reference vector. The little group transformation turns out to be equivalent to a change of reference vector, which also gives a concrete formula to compute the Wigner D-matrices with a general momentum. The little group transformation and Wigner D-matrices have both continuous zero momentum limit and infinite boost (m…

Topology and Martensitic Phase Transformations
M. Yin, D. D. Vvedensky
https://arxiv.org/abs/2510.10610 https://arxiv.org/pdf/2510.10610

Topology and Martensitic Phase Transformations
Triply periodic minimal surfaces (TPMS) are discovered to conform to surfaces of given charge density distributions embedded in crystals [Z. Kristallogr. \textbf{170}, 138 (1985)]. Based on our previous work [Phys. Rev. Mater. \textbf{9}, 073802 (2025)], we discovered that crystals can have surfaces of a given charge density converging to TPMS. We also discovered that end states connected by a martensitic phase transformation should have their corresponding TPMS being topologically equivalent. …

$\omega$-Lie bialgebras and $\omega$-Yang-Baxter equation
Yining Sun, Zeyu Hao, Ziyi Zhang, Liangyun Chen
https://arxiv.org/abs/2510.09630 https://arxiv.or…

$ω$-Lie bialgebras and $ω$-Yang-Baxter equation
In this paper, we introduce the definition of multiplicative $ω$-Lie bialgebra, which is equivalent to the Manin triples and matched pairs. We also study the $ω$-Yang-Baxter equation and Yang-Baxter $ω$-Lie bialgebra. The skew-symmetric solutions of the $ω$-Yang-Baxter equation can be used to construct Yang-Baxter $ω$-Lie bialgebra. We further introduce the concept of the $ω$-$\mathcal{O}$-operator, which can be constructed from a left-symmetric algebras, and based on the $ω$-$\mathcal{O…

Approximating the coefficients of the Bessel functions
Andrew Yao
https://arxiv.org/abs/2510.10370 https://arxiv.org/pdf/2510.10370

Approximating the coefficients of the Bessel functions
For the type A, BC, and D root systems, we determine equivalent conditions between the coefficients of an exponential holomorphic function and the asymptotic values taken by the Dunkl bilinear form when one of its entries is the function. We establish these conditions over the $|θN| \rightarrow\infty$ regime for the type A and D root systems and over the $|θ_0 N|\rightarrow \infty, \frac{θ_1}{θ_0 N}\rightarrow c\in\mathbb{C}$ regime for the type BC root system. We also g…

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…

When "self-driving" cars were first getting some hype back in ~2015 or so, I told people who asked me that I didn't think they'd be safe, and that I wished the same money were being invested in driver-assistance systems instead.
At the time, advocates were claiming that self-driving cars would be safer than human drivers.
We now have both self-driving cars and some nifty new driver assistance things, and it turns out that the self-driving cars are in fact being developed by corporations whose attention to the bottom line results in danger to others on the road pretty regularly. I don't actually have stats here for whether they're "safer than human drivers" or not, but the opportunity for one bad software update to make *all* self-driving cars dangerous at once kinda makes me doubt that.
Here's an example of Waymo cars getting "more aggressive" as they try to balance between being too timid and obstructing traffic (including emergency vehicles) and being too dangerous:
https://archive.ph/JJuGv
Here's another example of passing stopped schoolbusses leading to a software recall:
https://abcnews.go.com/GMA/News/waymo-issue-voluntary-software-recall-after-close-calls/story?id=128207776
In the first article, Waymo claims 91% fewer serious accidents per mile. Obviously an independent audit would be actually trustworthy, but even if we take that claim at face value, it's meaningless if an update tomorrow causes 100,000 accidents.
Note that they could be using better engineering practices, and the fact that they aren't shows that they don't care enough about the risks. They could be deploying new software versions incrementally and slowly, letting new versions rack up lots of miles only on a few vehicles before pushing them to a fleet. The should also have the equivalent of a simulation unit test for "schoolbus is stopped, what do?" and if a software version fails that test, it doesn't make it to the fleet. Clearly they don't have that.
I feel pretty vindicated in my earlier prediction that this tech is a bad idea in the hands of the current advocates.

Autonomous vehicles need social awareness to find optima in multi-agent reinforcement learning routing games
Anastasia Psarou, {\L}ukasz Gorczyca, Dominik Gawe{\l}, Rafa{\l} Kucharski
https://arxiv.org/abs/2510.11410

Autonomous vehicles need social awareness to find optima in multi-agent reinforcement learning routing games
Previous work has shown that when multiple selfish Autonomous Vehicles (AVs) are introduced to future cities and start learning optimal routing strategies using Multi-Agent Reinforcement Learning (MARL), they may destabilize traffic systems, as they would require a significant amount of time to converge to the optimal solution, equivalent to years of real-world commuting. We demonstrate that moving beyond the selfish component in the reward significantly relieves this issue. If each AV, apart…

Replaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Filtered complexes and cohomologically equivalent subcomplexes
Erlend Grong, Francesca Tripaldi

From Stand Earth
Despite B.C.’s Peace River region facing an ongoing severe drought, last year oil and gas companies set a new record high for freshwater extraction with an alarming 50% increase over the previous year. If that doesn’t sit right with you, you’re not alone!
Last year B.C. oil and gas companies withdrew and polluted enough freshwater for more than 110,000 households – that’s equivalent to the entire population of Nanaimo.
read more at

HOPPET v2.0.0 release note
Alexander Karlberg, Paolo Nason, Gavin Salam, Giulia Zanderighi, Fr\'ed\'eric Dreyer
https://arxiv.org/abs/2510.09310 https://

HOPPET v2.0.0 release note
We document the three main new features in release 2.0.0 of the HOPPET parton distribution function evolution code, specifically support for N$^3$LO QCD evolution in the variable flavour number scheme, for the determination of hadronic structure functions for massless quarks up to N$^3$LO, and for QED evolution to an accuracy phenomenologically equivalent to NNLO QCD. Additionally we describe a new Python interface, CMake build option, functionality to save a hoppet table as an LHAPDF grid and …

The Strength of Local Structures in Decentralized Network Formation
Jose M. Betancourt
https://arxiv.org/abs/2510.10997 https://arxiv.org/pdf/2510.10997

The Strength of Local Structures in Decentralized Network Formation
I study dynamic network formation games in which agents assign arbitrary values to network structures. Any such game admits an equivalent representation in terms of the values agents assign to its sub-structures, linking local valuations to equilibrium behavior. The game is a potential game precisely when all participants in a structure value it equally, yielding a closed-form stationary distribution. When valuations are restricted to a finite set of repeated sub-structures, or motifs, the mode…

Computer scientists: The Turing test is a test of a machine's ability to exhibit intelligent behavior equivalent to that of a human.
Reality: The Turing test is a test of a human's ability not to be fooled by themselves that a machine is mimicking a human.
(Because the test uses a human to decide if something else is a human, it essentially explores the gullibility limit of an individual human—and says nothing about machine intelligence.)

Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds
Samuel Alperin
https://arxiv.org/abs/2510.11845 https://arxiv.org/pdf/2510.11845…

Non-Hermitian Realization of Quantum Dynamics on Embedded Manifolds
We show that the Floquet Hamiltonian of a quantum particle driven by a general time-periodic imaginary potential is exactly equivalent, at stroboscopic times, to the Hamiltonian of a free particle constrained to a curved Riemannian manifold with fixed embedding. We illustrate the construction for a sinusoidal drive and for the torus of revolution, and outline how the framework can guide experimental design of curved-space quantum dynamics. Our results unify non-Hermitian Floquet physics with sp…

absolutely cursed property. anything short of returning it to death by audio/285 kent/glasslands (or equivalent) will result in generations of karmic haunt to all future tenants & their parent corporations. (or as somebody else put it "wow, zohran works fast") https://www.

cattle: Dairy cattle (1955)
Dominance interactions among a group of dairy cattle at the Iberia Livestock Experiment Station in Jenerette, Louisiana. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 28 nodes and 217 edges.
Tags: Social, Animal, Weighted
https://ne…

Is there a #UNIX style tool with which I can do any or all of (some are equivalent when combined with other tools):
* Turn absolute symlinks into relative ones or vice versa
* Increase or decrease the number of `../` segments in symlinks during/after copying/moving them
* Get me all a tree's symlinks in a text file so I can edit/sed them and turn them back into symlinks
* Full…

Centralizers of discrete Temperley-Lieb-Jones subfactors
Corey Jones, Emily McGovern
https://arxiv.org/abs/2510.12675 https://arxiv.org/pdf/2510.12675

Centralizers of discrete Temperley-Lieb-Jones subfactors
Discrete, unimodular inclusions of factors $(N\subseteq M, E)$ with $N$ of type $\rm{II}_{1}$ have a natural notion of standard invariant, generalizing the finite index case. When the unitary tensor category of $N$-$N$ bimodules generated by $_{N}L^{2}(M, τ\circ E)_{N}$ is equivalent to the Temperley-Lieb-Jones category $\text{TLJ}(δ)$, the associated discrete standard invariants are classified in terms of fair and balanced $δ$-graphs. Many examples of these subfactors naturally arise in the…

One-dimensional long-range Ising model: two (almost) equivalent approximations
Valerio Pagni, Guido Giachetti, Andrea Trombettoni, Nicol\`o Defenu
https://arxiv.org/abs/2510.02458

One-dimensional long-range Ising model: two (almost) equivalent approximations
We investigate the critical behavior of the one-dimensional Ising model with long-range interactions using the functional renormalization group in the local potential approximation (LPA), and compare our findings with Dyson's hierarchical model (DHM). While the DHM lacks translational invariance, it admits a field-theoretical description closely resembling the LPA, up to minor but nontrivial differences. After reviewing the real-space renormalization group approach to the DHM, we demonstrate a …

Real-Time Estimation of Equivalent Series Resistance for Predicting Output Capacitor Failures in Boost Converters
Antonino pagano
https://arxiv.org/abs/2509.25046 https://

Real-Time Estimation of Equivalent Series Resistance for Predicting Output Capacitor Failures in Boost Converters
Output capacitors are among the most critical components in power electronic converters, as their degradation directly affects system stability and reliability. A key indicator of capacitor health is the Equivalent Series Resistance (ESR), whose progressive increase is strongly correlated with aging and imminent failure. This paper presents a real-time technique for estimating the ESR of output capacitors in boost converters, with the aim of enabling early fault prediction and condition-based m…

"In China, the longest ultrahigh-voltage power line stretches more than 2,000 miles from the far northwest to the populous southeast — the equivalent of transmitting electricity from Idaho to New York City."
**How China Powers Its Electric Cars and High-Speed Trains** - The New York Times
https://archive.ph/CglXF

The origins of the Two Drink Minimum are lost in antiquity …
https://arstechnica.com/science/2025/09/chimps-consume-alcohol-equivalent-of-nearly-2-drinks-a-day/

"Did you know that for every US$1,000 a person has in savings is roughly equivalent to the direct #Emissions generated by flying from New York to Seattle every year”
#Banks are a core part of how we store and spend money. This

Why I Changed Banks For The Planet
Banks are integral to our daily lives. We rely on them to receive our salaries, make transactions, pay bills, and secure loans or mortgages. However, behind each of these transactions lies a financial system that subtly influences not just our economy but also, albeit less obviously, our planet. The practices

Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model
Bethan Turner
https://arxiv.org/abs/2509.26477 https://arxiv.org/pdf/2…

Bi-Hamiltonian Structures and Equivalent Representations of the Pais-Uhlenbeck Model
We provide a complete classification of all the ways the Pais-Uhlenbeck osicllator might be embedded in two dimensional space. We discuss the Bi-Hamiltonian structures of this model, and examine how alternative Hamiltonian structures might be generated from the dynamical Lie symmetries of the theory. We then examine how the Bi-Hamiltonian strucutre may be exploited to evade the problem of unbounded Hamiltonians that is usually associated with Higher Time Derivative Theories. The effect of inter…

On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle
Lucas Lagarde, Mohamed Moakher, Morena Porzio, James Rawson, Fernando Trejos Su\'arez
https://arxiv.org/abs/2510.07416

On Modified Diagonal Cycles and the Beauville Decomposition of the Ceresa Cycle
Let $C$ be a curve of genus $g \geq 2$, and let $J$ be its Jacobian. The choice of a degree 1 divisor $e$ on $C$ gives an embedding of $C$ into $J$; we denote by $[C]_{}^{e}\in \mathrm{CH}\left( J;\mathbb{Q} \right) $ the class in the Chow group of $J$ defined by the image of this embedding. It is known from the work of S.-W. Zhang that the vanishing of the Ceresa cycle $\mathrm{Cer}(C,e):=[C]^{e} - [-1]_* [C]^e$ is equivalent to both the vanishing of the 1st Beauville component $[C]_{(1)}^e$ a…

"L'attirance humaine pour les boissons alcoolisées pourrait être, dans une large mesure, héritée de nos ancêtres primates. et d'une certaine manière, c'est quelque chose que nous partageons avec nos plus proches parents vivants : selon une nouvelle étude [...] les chimpanzés consomment quotidiennement des doses élevées d'alcool par rapport Š leur poids corporel, par l'intermédiaire des fruits qui font partie de leur régime alimentaire habituel"

Im using case_when() quite a lot, case_match() is new to me: #rstats

A general vectorised switch() — case_match
This function allows you to vectorise multiple switch() statements. Each case is evaluated sequentially and the first match for each element determines the corresponding value in the output vector. If no cases match, the .default is used. case_match() is an R equivalent of the SQL "simple" CASE WHEN statement. Connection to case_when() While case_when() uses logical expressions on the left-hand side of the formula, case_match() uses values to match against .x with. The following two statement…

Drilling for 'cleaner' natural gas in the North Sea - with low methane leakage - will only reduce global greenhouse gas emissions if it keeps an equivalent amount of 'dirty' natural gas - e.g. US shale gas - in the ground. Which remains to be seen.

Fibration Symmetries and Cluster Synchronization in Multi-Body Systems
Margherita Bert\`e, Tommaso Gili
https://arxiv.org/abs/2510.11207 https://arxiv.org/…

Fibration Symmetries and Cluster Synchronization in Multi-Body Systems
Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition in fibres, based on equivalent incidence relations in hypergraphs. We study how identical nodes with an isomorphic input set can synchronize due to structural properties under our specific model assumptions, examining the dynamical model of Kuramoto with highe…

I know, it's an ingrained part of German culture to complain about its bureaucracy, how it's slow, based on sending Fax, etc. But the folks at the register office in my last place of residency in 🇩🇪 are just great.
It took in total 3 weeks to get our marriage from 🇬🇧 registered with them, which included some wait time for translations and the timezone difference. And all back & forth was handled via email.
In comparison, the 🇦🇷 equivalent has been ongoing for 1 1/2 years, at >10x the cost. 😂

Some series equivalent to the extended Riemann hypothesis for Dedekind zeta functions
Vincent Nguyen
https://arxiv.org/abs/2509.21518 https://arxiv.org/pdf…

Some series equivalent to the extended Riemann hypothesis for Dedekind zeta functions
The extended Riemann hypothesis (ERH) for Dedekind zeta functions remains one of the most elusive open problems in number theory. Over the last century, many equivalent statements to the classical Riemann hypothesis alone have been discovered. We seek to show that the closed form of some infinite series over the non-trivial zeros of Dedekind zeta functions is equivalent to ERH.

hens: White Leghorn hens (1946)
Dominance interactions (pecking) among a group of White Leghorn hens, observed in 1946. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 32 nodes and 496 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/hens

A density counterpart of the Scheepers covering property
Leandro Aurichi, Fortunato Maesano, Lyubomyr Zdomskyy
https://arxiv.org/abs/2510.11033 https://arx…

A density counterpart of the Scheepers covering property
We introduce a density counterpart of the Scheepers covering property $\bigcup_{\mathrm{fin}}(\mathcal O,Ω)$ and study its relations to known combinatorial density property. In particular, we show that it is equivalent to the $M$-separability under the Near Coherence of Filters principle of Blass and Weiss.

Jensen Huang says the 10 GW OpenAI project is equivalent to 4M-5M GPUs; the first phase is expected to come online in H2 2026 using Nvidia's Vera Rubin platform (Kif Leswing/CNBC)
https://www.cnbc.com/2025/09/22/nvidia-openai-data-center.html

Nvidia plans to invest up to $100 billion in OpenAI as part of data center buildout
In an interview with CNBC, Nvidia CEO Jensen Huang said his company's project with OpenAI is equivalent to between 4 million and 5 million GPUs.

Mirror symmetric polynomials orthogonal on the unit circle
Alexei Zhedanov
https://arxiv.org/abs/2510.10447 https://arxiv.org/pdf/2510.10447

Mirror symmetric polynomials orthogonal on the unit circle
We introduce and study a special family of polynomials orthogonal on the unit circle (OPUC). These OPUC satisfy a mirror symmetry property of their Verblunsky coefficients. Several equivalent conditions for the OPUC to be mirror symmetric are presented. Corresponding unitary CMV matrices satisfy simple algebraic relations similar to relations for persymmetric tridiagonal matrices. We present three explicit examples of mirror symmetric OPUC.

rhesus_monkey: Rhesus monkey grooming (1963)
Grooming interactions among a group of wild adult rhesus monkeys (Macaca mulatta) in Cayo Santiago, during a two month period in 1963. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 16 nodes and 111 edges.
Tags: Social, Animal, Weighted

Imagine ChatGPT but instead of predicting text it just linked you to the to 3 documents most-influential on the probabilities that would have been used to predict that text.
Could even generate some info about which parts of each would have been combined how.
There would still be issues with how training data is sourced and filtered, but these could be solved by crawling normally respecting robots.txt and by paying filterers a fair wage with a more relaxed work schedule and mental health support.
The energy issues are mainly about wild future investment and wasteful query spam, not optimized present-day per-query usage.
Is this "just search?"
Yes, but it would have some advantages for a lot of use cases, mainly in synthesizing results across multiple documents and in leveraging a language model more fully to find relevant stuff.
When we talk about the harms of current corporate LLMs, the opportunity cost of NOT building things like this is part of that.
The equivalent for art would have been so amazing too! "Here are some artists that can do what you want, with examples pulled from their portfolios."
It would be a really cool coding assistant that I'd actually encourage my students to use (with some guidelines).
#AI #GenAI #LLMs

BiasBusters: Uncovering and Mitigating Tool Selection Bias in Large Language Models
Thierry Blankenstein, Jialin Yu, Zixuan Li, Vassilis Plachouras, Sunando Sengupta, Philip Torr, Yarin Gal, Alasdair Paren, Adel Bibi
https://arxiv.org/abs/2510.00307

BiasBusters: Uncovering and Mitigating Tool Selection Bias in Large Language Models
Agents backed by large language models (LLMs) often rely on external tools drawn from marketplaces where multiple providers offer functionally equivalent options. This raises a critical point concerning fairness: if selection is systematically biased, it can degrade user experience and distort competition by privileging some providers over others. We introduce a benchmark of diverse tool categories, each containing multiple functionally equivalent tools, to evaluate tool-selection bias. Using t…

Non-linear stability of shock profiles in dissipative hyperbolic-hyperbolic systems
Matthias Sroczinski, Kevin Zumbrun
https://arxiv.org/abs/2510.09287 https://

Non-linear stability of shock profiles in dissipative hyperbolic-hyperbolic systems
We give the first proof of nonlinear stability for smooth shock profiles of second-order dissipative hyperbolic-hyperbolic systems under the assumption of spectral stability, showing stability of smooth small-amplitude profiles in dimensions greater than or equal to two. This class of systems notably includes the two types of causal viscous relativistic gas models introduced respectively by Freistühler-Temple and Bemfica-Disconzi-Noronha, and (the equivalent second-order form of) a class of fi…

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…

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…

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

Structural Identifiability of Graphical Continuous Lyapunov Models
Carlos Am\'endola, Tobias Boege, Benjamin Hollering, Pratik Misra
https://arxiv.org/abs/2510.04985 https:/…

Structural Identifiability of Graphical Continuous Lyapunov Models
We prove two characterizations of model equivalence of acyclic graphical continuous Lyapunov models (GCLMs) with uncorrelated noise. The first result shows that two graphs are model equivalent if and only if they have the same skeleton and equivalent induced 4-node subgraphs. We also give a transformational characterization via structured edge reversals. The two theorems are Lyapunov analogues of celebrated results for Bayesian networks by Verma and Pearl, and Chickering, respectively. Our resu…

On Structured State-Space Duality
Jerry Yao-Chieh Hu, Xiwen Zhang, Weimin Wu, Han Liu
https://arxiv.org/abs/2510.04944 https://arxiv.org/pdf/2510.04944

On Structured State-Space Duality
Structured State-Space Duality (SSD) [Dao & Gu, ICML 2024] is an equivalence between a simple Structured State-Space Model (SSM) and a masked attention mechanism. In particular, a state-space model with a scalar-times-identity state matrix is equivalent to a masked self-attention with a $1$-semiseparable causal mask. Consequently, the same sequence transformation (model) has two algorithmic realizations: as a linear-time $O(T)$ recurrence or as a quadratic-time $O(T^2)$ attention. In this note,…

Properties of generalized Jacobi elliptic functions with three parameters
Hajime Sato, Nagi Suzuki, Shingo Takeuchi
https://arxiv.org/abs/2510.11443 https://

Properties of generalized Jacobi elliptic functions with three parameters
Jacobi elliptic functions and complete elliptic integrals are generalized using three parameters. These generalized functions and integrals are closely related to ordinary differential equations involving $p$-Laplacian. In this paper, Wallis-type integral formulae are constructed for the generalized Jacobi elliptic functions. Moreover, for the generalized complete elliptic integrals, a Legendre-type relation is derived, which is equivalent to Elliott's identity for Gaussian hypergeometric serie…

Amazon launches its Trainium3 AI chip, claiming it is 4x faster than the previous gen and can reduce AI training and operating costs by ~50% vs. equivalent GPUs (Robbie Whelan/Wall Street Journal)
https://www.wsj.com/tech/ai/amazons-custom-chips-pose-a…

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

Formalizing the zigzag construction of path spaces of pushouts
Vojt\v{e}ch \v{S}t\v{e}pan\v{c}\'ik
https://arxiv.org/abs/2510.08452 https://arxiv.org/p…

Formalizing the zigzag construction of path spaces of pushouts
A recent pre-print of Wärn gives a novel pen-and-paper construction of a type family characterizing the path spaces of an arbitrary pushout, and a natural language argument for its correctness. We present the first formalization of the construction and a proof that it is fiberwise equivalent to the path spaces. The formalization is carried out in axiomatic homotopy type theory, using the Agda proof assistant and the agda-unimath library.

Completeness for Fault Equivalence of Clifford ZX Diagrams
Maximilian R\"usch, Benjamin Rodatz, Aleks Kissinger
https://arxiv.org/abs/2510.08477 https://

Completeness for Fault Equivalence of Clifford ZX Diagrams
Two circuits are considered to be equivalent under noise if the effect of faults on one circuit is no worse than the effect of faults on the other circuit. We call this relationship fault equivalence. Fault equivalence offers a way to transform circuits while provably preserving their fault-tolerant properties, enabling a framework for fault-tolerant circuit synthesis and optimisation that is correct by construction. The ZX calculus, a set of graphical rewrite rules for quantum computations, pr…

rhesus_monkey: Rhesus monkey grooming (1963)
Grooming interactions among a group of wild adult rhesus monkeys (Macaca mulatta) in Cayo Santiago, during a two month period in 1963. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 16 nodes and 111 edges.
Tags: Social, Animal, Weighted

rhesus_monkey: Rhesus monkey grooming (1963)
Grooming interactions among a group of wild adult rhesus monkeys (Macaca mulatta) in Cayo Santiago, during a two month period in 1963. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 16 nodes and 111 edges.
Tags: Social, Animal, Weighted

rhesus_monkey: Rhesus monkey grooming (1963)
Grooming interactions among a group of wild adult rhesus monkeys (Macaca mulatta) in Cayo Santiago, during a two month period in 1963. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 16 nodes and 111 edges.
Tags: Social, Animal, Weighted

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

cattle: Dairy cattle (1955)
Dominance interactions among a group of dairy cattle at the Iberia Livestock Experiment Station in Jenerette, Louisiana. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 28 nodes and 217 edges.
Tags: Social, Animal, Weighted
https://ne…

cattle: Dairy cattle (1955)
Dominance interactions among a group of dairy cattle at the Iberia Livestock Experiment Station in Jenerette, Louisiana. Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 28 nodes and 217 edges.
Tags: Social, Animal, Weighted
https://ne…