Tootfinder

An algebraic approach to Latin squares of prime power order by local permutation polynomials
Ra\'ul M. Falc\'on, Jaime Guti\'errez, Jorge Jim\'enez Urroz
https://arxiv.org/abs/2510.09086

An algebraic approach to Latin squares of prime power order by local permutation polynomials
Every Latin square of prime power order $q$ is uniquely described by a local permutation polynomial (LPP) in the polynomial ring $\mathbb{F}_q[x,y]$. Despite this equivalence, one may find in the literature only some preliminary results on the relationship among Latin squares and LPPs. This paper delves into this topic by showing how the coefficients of any LPP are identified with the zeros of an algebraic set over $\mathbb{F}_q$. This allows for an algebraic description of all Latin squares of…

Replaced article(s) found for math.LO. https://arxiv.org/list/math.LO/new
[1/1]:
- Notes on the equiconsistency of ZFC without the Power Set axiom and second order PA
Vladimir Kanovei, Vassily Lyubetsky

Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets
Guangyan Zhu, Yuanyuan Luo, Jixiang Wan
https://arxiv.org/abs/2510.05595 https://

Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets
For integers $x$ and $y$, $(x, y)$ and $[x, y]$ stand for the greatest common divisor and the least common multiple of $x$ and $y$ respectively. Denote by $|T|$ the number of elements of a finite set $T$. Let $a,b$ and $n$ be positive integers and let $S=\{x_1, \cdots, x_n\}$ be a set of $n$ distinct positive integers. We denote by $(S^a)$ (resp. $[S^a]$) the $n\times n$ matrix having the $a$th power of $(x_i,x_j)$ (resp. $[x_i,x_j]$) as its $(i,j)$-entry. For any $x\in S$, define $G_…

Decentralized Local Voltage Control for Active Distribution Networks
Diana Vieira Fernandes, Soummya Kar, Carlos Santos Silva
https://arxiv.org/abs/2509.09048 https://

Decentralized Local Voltage Control for Active Distribution Networks
Distribution networks face challenges from the increasing deployment of Distributed Energy Resources (DERs) and the emergence of bidirectional power flows. We propose a decentralized Volt/VAr control method based on a saddle-point reformulation and consensus+innovation (C+I) updates. Each agent at a controllable bus computes and enforces its own set-points using only neighbor communication. Our method embeds passive buses directly, preserves network physics through a linearized Jacobian model, …

Fairness in Token Delegation: Mitigating Voting Power Concentration in DAOs
Johnnatan Messias, Ayae Ide
https://arxiv.org/abs/2510.05830 https://arxiv.org/…

Fairness in Token Delegation: Mitigating Voting Power Concentration in DAOs
Decentralized Autonomous Organizations (DAOs) aim to enable participatory governance, but in practice face challenges of voter apathy, concentration of voting power, and misaligned delegation. Existing delegation mechanisms often reinforce visibility biases, where a small set of highly ranked delegates accumulate disproportionate influence regardless of their alignment with the broader community. In this paper, we conduct an empirical study of delegation in DAO governance, combining on-chain da…

A Dense and Efficient Instruction Set Architecture Encoding
Emad Jacob Maroun
https://arxiv.org/abs/2510.04158 https://arxiv.org/pdf/2510.04158

A Dense and Efficient Instruction Set Architecture Encoding
Instruction density and encoding efficiency are some of the few things directly affected by an instruction set architecture's design. In contrast, a processor's implementation often significantly influences performance, power efficiency, and area usage. Therefore, a major goal of instruction set design should be maximizing instruction density and encoding efficiency. This paper introduces the design elements of the Scry instruction set architecture that most significantly affect instruction den…

The date is set for the next big protest.
Saturday, October 18th.
https://NoKings.org
Comment your events.
https://

No Kings
As the president escalates his authoritarian power grab, the NO KINGS non-violent movement continues to rise stronger. We are united once again to remind the world: America has No Kings and the power belongs to the people.

On the difference of the intersection power graph and the power graph of a finite group
Sudip Bera, Peter J. Cameron
https://arxiv.org/abs/2509.03919 https://

On the difference of the intersection power graph and the power graph of a finite group
The two graphs of the title both have vertex set G. In the intersection power graph, x and y are joined if some non-identity element is a power of both; in the power graph, x and y joined if one is a power of the other. Thus the power graph is a spanning subgraph of the intersection power graph, and we define the edges of the difference graph to be the difference of these edge sets. In this paper, we give a number of results about the difference graph. We examine groups whose power graph and in…

Source: xAI is set to spend $18B to acquire ~300K more Nvidia chips for its Colossus 2 project in Memphis; Elon Musk said in July it would have 550K chips (Alexander Saeedy/Wall Street Journal)
https://www.wsj.com/tech/elon-musk-xai-mem

NFL power rankings Week 1: Eagles, Chiefs, Ravens, who's No. 1? Cowboys in bottom 10? https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/09/02/nfl-power-rankings-week-1-2025-eagles-cowboys…

Geometry of dyadic polygons I: the structure of dyadic triangles
A. Mu\'cka, A. Romanowska
https://arxiv.org/abs/2510.05467 https://arxiv.org/pdf/2510.…

Geometry of dyadic polygons I: the structure of dyadic triangles
Dyadic rationals are rationals whose denominator is a power of 2. A dyadic n-dimensional convex set is defined as the intersection with n-dimensional dyadic space of an n-dimensional real convex set. Such a dyadic convex set is said to be a dyadic n-dimensional polytope if the real convex set is a polytope whose vertices lie in the dyadic space. Dyadic convex sets are described as subalgebras of reducts of faithful affine spaces over the ring of dyadic numbers, or equivalently as commutative, e…

Efficiently Computing Equilibria in Budget-Aggregation Games
Patrick Becker, Alexander Fries, Matthias Greger, Erel Segal-Halevi
https://arxiv.org/abs/2509.08767 https://…

Efficiently Computing Equilibria in Budget-Aggregation Games
Budget aggregation deals with the social choice problem of distributing an exogenously given budget among a set of public projects, given agents' preferences. Taking a game-theoretic perspective, we initialize the study of \emph{budget-aggregation games} where each agent has virtual decision power over some fraction of the budget. This paper investigates the structure and shows efficient computability of Nash equilibria in this setting for various preference models. In particular, we show that …

Divisibility among power GCD and power LCM matrices on certain gcd-closed sets
Jixiang Wan, Guangyan Zhu
https://arxiv.org/abs/2510.04799 https://arxiv.org…

Divisibility among power GCD and power LCM matrices on certain gcd-closed sets
Let $(x, y)$ and $[x, y]$ denote the greatest common divisor and the least common multiple of the integers $x$ and $y$ respectively. We denote by $|T|$ the number of elements of a finite set $T$. Let $a,b$ and $n$ be positive integers and let $S=\{x_1, ..., x_n\}$ be a set of $n$ distinct positive integers. We denote by $(S^a)$ (resp. $[S^a]$) the $n\times n$ matrix whose $(i,j)$-entry is the $a$th power of $(x_i,x_j)$ (resp. $[x_i,x_j]$). For any $x\in S$, define $G_{S}(x):=\{d\in S:…

"""
In the sixteenth century, lunacy was a constant theme that was never questioned. It was still frequent in the seventeenth century, but started to disappear, and by 1707, the year in which Le François asked the question ‘Estne aliquod lunae in corpora humana imperium?’ (Does the moon have any influence over the human body?), after lengthy discussions, the university decided that their reply was in the negative. In the course of the eighteenth century the moon was rarely cited among the causes of madness, even as a possible factor or an aggravation. But right at the end of the century the idea reappears, perhaps under the influence of English medicine, which had never entirely forgotten the moon, and Daquin, followed by Leuret and Guislain, all admitted the influence of the moon on the phases of maniacal excitement, or at the least on the agitation of their patients. But what is important here is not so much the return of the theme as the possibility and conditions necessary for its reappearance. It reappears entirely transformed, filled with a new significance that it did not formerly possess. In its traditional form, it designated an immediate influence, a direct coincidence in time and intersection in space, whose mode of action was entirely situated in the power of the stars. But in Daquin by contrast, the influence of the moon acts through a whole series of mediations, in a kind of hierarchy, surrounding man. The moon acts on the atmosphere with such intensity that it can set in motion a mass as heavy as the ocean. The nervous system, of all the parts that make up the human organism, is the part most sensitive to atmospheric variations, as the slightest variation in temperature, humidity or dryness can have serious effects upon it. The moon therefore, given the important power that its trajectory exerts on the atmosphere, is likely to act most on people whose nervous fibres are particularly delicate:
“Madness is an exclusively nervous condition, and the brain of a madman must therefore be infinitely more susceptible to the influence of the atmosphere, which itself undergoes considerable changes of intensity as a result of the different positions of the moon relative to the earth.” [Daquin, Philosophie de la folie, Paris, 1792]
"""
(Michel Foucault, History of Madness)

Admissible set and squarefree-power-like function with applications to squarefree symbolic powers
Trung Chau, Kanoy Kumar Das, Amit Roy, Kamalesh Saha
https://arxiv.org/abs/2510.01366

Admissible set and squarefree-power-like function with applications to squarefree symbolic powers
We introduce the abstract notion of squarefree-power-like functions, which unify the sequences of squarefree ordinary and symbolic powers of squarefree monomial ideals. By employing the Tor-vanishing criteria for mixed sums of ideals, we establish sharp lower bounds for their Castelnuovo-Mumford regularity in terms of what we call the admissible set of the associated hypergraph. As an application, we derive the first general combinatorial lower bound for the regularity of squarefree symbolic po…

The government’s biggest coal sales in more than a decade, is coming in a few days,
offering 600 million tons from publicly owned reserves next to strip mines in Montana and Wyoming.
The sales are a signature piece of Trump’s ambitions for companies to dig more coal from federal lands and burn it for electricity.
Yet most power plants served by those mines plan to quit burning coal altogether within 10 years, an Associated Press data analysis shows.
Three other mines po…

Trump wants to mine more coal from public lands as appetite for it lags
U.S. officials in coming days are set to hold the government’s biggest coal sales in more than a decade. About 600 million tons of the fuel will be auctioned from publicly owned reserves next to strip mines in Montana and Wyoming. Data analyzed by The Associated Press shows most of the power plants served by those mines plan to quit burning coal altogether within 10 years. The sales are a signature piece of President Donald Trump’s ambitions to dig and burn more coal from federal lands. The…

Guyana brings solar power to Indigenous village, part of larger plan to prioritize Amerindian communities in national development. #climatechange #climatesolutions #climate

Guyana commissions solar grid for Indigenous village
A remote village in western Guyana is set to benefit from round the clock power following the commissioning of a solar grid with a combined capacity of 217.4 kW.

Persuasion with Verifiable Information
Maria Titova, Kun Zhang
https://arxiv.org/abs/2510.08251 https://arxiv.org/pdf/2510.08251

Persuasion with Verifiable Information
This paper studies a game in which an informed sender with state-independent preferences uses verifiable messages to convince a receiver to choose an action from a finite set. We characterize the equilibrium outcomes of the game and compare them with commitment outcomes in information design. We provide conditions under which a commitment outcome is an equilibrium outcome and identify environments in which the sender does not benefit from commitment power. Our findings offer insights into the i…

"Google’s new plan to keep its data centers from stressing the grid"
#Google #Technology
https://www.

Google’s new plan to keep its data centers from stressing the grid
AI data centers are set to swamp U.S. power grids. Google’s new utility deals aim to flip the script — shifting workloads to ease strain and speed its…

I know that many people here pay attention to branding. So you might want to have a look at this, about the well-underway “transformation of politics into branding, and of the nation into a stage set for performance.”
nytimes.com -

Opinion | The East Wing Ballroom is Trump’s Raw Display of Power
The president is refashioning his residence into a palace. Our democracy is now a members-only club.

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
Caleb Marshall
https://arxiv.org/abs/2509.02882 https://arxiv.org/pdf/2509.02882

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
We prove a power law for the asymptotic decay of the Favard length of neighbourhoods of certain self-similar sets in $\mathbb{R}^d$ with $d \geq 2$. These self-similar sets are generalizations of the so-called four-corner Cantor set to higher dimensions, as well as to a more general class of rational digit sets. When $d \geq 3$, our estimates are the first such non-trivial asymptotic upper bounds for the Favard length problem. The extension to a new class of digit sets (which is new even when $…

NFL Power Rankings: What Teams are Best Positioned to Win in 5 Years? https://www.foxsports.com/stories/nfl/nfl-power-rankings-which-teams-have-best-5-year-outlooks

Advantage for Discrete Variational Quantum Algorithms in Circuit Recompilation
Oleksandr Kyriienko, Chukwudubem Umeano, Zo\"e Holmes
https://arxiv.org/abs/2510.01154 https:…

Advantage for Discrete Variational Quantum Algorithms in Circuit Recompilation
The relative power of quantum algorithms, using an adaptive access to quantum devices, versus classical post-processing methods that rely only on an initial quantum data set, remains the subject of active debate. Here, we present evidence for an exponential separation between adaptive and non-adaptive strategies in a quantum circuit recompilation task. Our construction features compilation problems with loss landscapes for discrete optimization that are unimodal yet non-separable, a structure k…

Who is responsible? Social Identity, Robot Errors and Blame Attribution
Samantha Stedtler, Marianna Leventi
https://arxiv.org/abs/2510.01862 https://arxiv.…

Who is responsible? Social Identity, Robot Errors and Blame Attribution
This paper argues that conventional blame practices fall short of capturing the complexity of moral experiences, neglecting power dynamics and discriminatory social practices. It is evident that robots, embodying roles linked to specific social groups, pose a risk of reinforcing stereotypes of how these groups behave or should behave, so they set a normative and descriptive standard. In addition, we argue that faulty robots might create expectations of who is supposed to compensate and repair a…

Differentially-Private Decentralized Learning in Heterogeneous Multicast Networks
Amir Ziaeddini, Yauhen Yakimenka, J\"org Kliewer
https://arxiv.org/abs/2509.21688 https://…

Differentially-Private Decentralized Learning in Heterogeneous Multicast Networks
We propose a power-controlled differentially private decentralized learning algorithm designed for a set of clients aiming to collaboratively train a common learning model. The network is characterized by a row-stochastic adjacency matrix, which reflects different channel gains between the clients. In our privacy-preserving approach, both the transmit power for model updates and the level of injected Gaussian noise are jointly controlled to satisfy a given privacy and energy budget. We show tha…

Power series statistical convergence and an abstract Korovkin-type approximation theorem
Dilek S\"oylemez, Mehmet \"Unver
https://arxiv.org/abs/2509.02557 https://

Power series statistical convergence and an abstract Korovkin-type approximation theorem
This paper establishes an abstract Korovkin-type approximation theorem in general spaces, extending the framework of approximation theory to accommodate broader contexts. A critical result supporting this theorem is the proof that any $P$-statistically convergent sequence contains a classically convergent subsequence over a density $1$ set, which plays a foundational role in the analysis. As a conclusion, we investigate the convergence of the $r$-th order generalization of linear operators, whi…

Our #prediction series is announced, Mattering Press 2025 👋.
There is power in prediction. In the first volume of the Predictions series, a set of #sts authors makes a case for engaging with practices and cultures of prediction. From speculative ethnography to sci-fi.

What Is a Sand Battery?
#Finland

The world's largest sand battery just went live in Finland
Finland has inaugurated an industrial-scale sand battery this week in the southern town of Pornainen, where it'll take over heating duties from an old woodchip power plant for the municipality. It's set to reduce carbon emissions from the local heating network by as much as 70%, and is the largest…

Optimal placement of wind farms via quantile constraint learning
Wenxiu Feng, Antonio Alc\'antara, Carlos Ruiz
https://arxiv.org/abs/2510.01093 https://

Optimal placement of wind farms via quantile constraint learning
Wind farm placement arranges the size and the location of multiple wind farms within a given region. The power output is highly related to the wind speed on spatial and temporal levels, which can be modeled by advanced data-driven approaches. To this end, we use a probabilistic neural network as a surrogate that accounts for the spatiotemporal correlations of wind speed. This neural network uses ReLU activation functions so that it can be reformulated as mixed-integer linear set of constraints …

Digital Domination: A Case for Republican Liberty in Artificial Intelligence
Matthew David Hamilton
https://arxiv.org/abs/2510.00312 https://arxiv.org/pdf/…

Digital Domination: A Case for Republican Liberty in Artificial Intelligence
Artificial intelligence is set to revolutionize social and political life in unpredictable ways, raising questions about the principles that ought to guide its development and regulation. By examining digital advertising and social media algorithms, this article highlights how artificial intelligence already poses a significant threat to the republican conception of liberty -- or freedom from unaccountable power -- and thereby highlights the necessity of protecting republican liberty when integ…

Republicans hold a 219-213 majority in the House,
but they could lock in more seats if reapportionments go their way
Normally, redistricting only occurs after the US census counts residents in each state every 10 years.
But a demand from Donald Trump to lock in more Republican-leaning districts in Congress,
together with a changing legal landscape around partisan gerrymandering,
set off a chain of mid-decade reapportionments.
Republicans and Democrats have…

The NANOGrav 15-Year Data Set: Improved Timing Precision With VLBI Astrometric Priors
Sofia V. Sosa Fiscella, Michael T. Lam, Gabriella Agazie, Akash Anumarlapudi, Anne M. Archibald, Zaven Arzoumanian, Paul T. Baker, Paul R. Brook, H. Thankful Cromartie, Kathryn Crowter, Maria Silvina De Biasi, Megan E. DeCesar, Paul B. Demorest, Timothy Dolch, Elizabeth C. Ferrara, William Fiore, Emmanuel Fonseca, Gabriel E. Freedman, Nate Garver-Daniels, Peter A. Gentile, Joseph Glaser, Deborah C. Go…

The NANOGrav 15-Year Data Set: Improved Timing Precision With VLBI Astrometric Priors
Accurate pulsar astrometric estimates play an essential role in almost all high-precision pulsar timing experiments. Traditional pulsar timing techniques refine these estimates by including them as free parameters when fitting a model to observed pulse time-of-arrival measurements. However, reliable sub-milliarcsecond astrometric estimations require years of observations and, even then, power from red noise can be inadvertently absorbed into astrometric parameter fits, biasing the resulting est…

ExpFace: Exponential Angular Margin Loss for Deep Face Recognition
Jinhui Zheng, Xueyuan Gong
https://arxiv.org/abs/2509.19753 https://arxiv.org/pdf/2509.1…

ExpFace: Exponential Angular Margin Loss for Deep Face Recognition
Face recognition is an open-set problem requiring high discriminative power to ensure that intra-class distances remain smaller than inter-class distances. Margin-based softmax losses, such as SphereFace, CosFace, and ArcFace, have been widely adopted to enhance intra-class compactness and inter-class separability, yet they overlook the impact of noisy samples. By examining the distribution of samples in the angular space, we observe that clean samples predominantly cluster in the center region…

Austin-based Aalo Atomics, which is building a modular nuclear reactor and data center, set to finish construction in 2026, raised a $100M Series B led by Valor (Julia Hornstein/Business Insider)
https://www.businessinsider.com/aalo-atomi

Aalo Atomics lands $100 million to launch nuclear reactors to power AI
Aalo Atomics raises $100 million to mass-produce nuclear reactors to power data centers amid the growing energy demand from AI.

Hull Clustering with Blended Representative Periods for Energy System Optimization Models
Grigory Neustroev, Diego A. Tejada-Arango, German Morales-Espana, Mathijs M. de Weerdt
https://arxiv.org/abs/2508.21641

Hull Clustering with Blended Representative Periods for Energy System Optimization Models
The growing integration of renewable energy sources into power systems requires planning models to account for not only demand variability but also fluctuations in renewable availability during operational periods. Capturing this temporal detail over long planning horizons can be computationally demanding or even intractable. A common approach to address this challenge is to approximate the problem using a reduced set of selected time periods, known as representative periods (RPs). However, usi…

Source Separation for A Cappella Music
Luca A. Lanzend\"orfer, Constantin Pinkl, Florian Gr\"otschla
https://arxiv.org/abs/2509.26580 https://arx…

Source Separation for A Cappella Music
In this work, we study the task of multi-singer separation in a cappella music, where the number of active singers varies across mixtures. To address this, we use a power set-based data augmentation strategy that expands limited multi-singer datasets into exponentially more training samples. To separate singers, we introduce SepACap, an adaptation of SepReformer, a state-of-the-art speaker separation model architecture. We adapt the model with periodic activations and a composite loss function …

I live by the conviction that anarchism is not a fixed goal to be reached, nor a perfect order to be imposed upon life. Every system that claims finality becomes a prison, and every so‑called final solution turns into domination over human beings. Anarchism, for me, stands in opposition to this tendency, it is the refusal to accept limits set by authority, dogma, or any power that seeks to bind the living stream of human development.
To me, anarchism is not the end of history, but the …

The company you work for spends millions on cybersecurity. You set up protocols, firewalls, preventive measures... And then the new girl in the office writes down her work passwords on a sticky note stuck to her laptop.
If I were an IT security professional, I'd be in jail by now after strangling someone like that girl with a power cord.

Busy little spider! A female Spiny Orb Weaver has set up house between the oak tree and the neighbors palms which are about 35 feet away. It is also attached to the power into the house and the ground. I marked about where it is in an attempt to not knock it down when I cut the front grass tomorrow. Figure after that much work she deserves to enjoy all the hopefully mosquitos that she snares.

Stringent Upper Bounds on Atmospheric Mass Loss from Three Neptune-Sized Planets in the TOI-4010 System
Morgan Saidel, Shreyas Vissapragada, Michael Zhang, Heather A. Knutson, Matth\"aus Schulik, Jorge Fern\'andez Fern\'andez, Michelle Kunimoto, Peter J. Wheatley, Jessica Spake
https://arxiv.org/abs/2508.21166

Stringent Upper Bounds on Atmospheric Mass Loss from Three Neptune-Sized Planets in the TOI-4010 System
Photoevaporative models predict that the lower edge of the Neptune desert is sculpted by atmospheric mass loss. However, the stellar high energy fluxes that power hydrodynamic escape and set predicted mass loss rates can be uncertain by multiple orders of magnitude. These uncertainties can be bypassed by studying mass loss for planets within the same system, as they have effectively undergone scaled versions of the same irradiation history. The TOI-4010 system is an ideal test case for mass los…

About 40 to 50 Pentagon reporters turned in access badges and exited the Pentagon rather than agree to new US government-imposed restrictions on their work (David Bauder/Associated Press)
https://apnews.com/article/pentagon-press-a…

Journalists exit Pentagon rather than agree to new reporting rules
Journalists at the Pentagon turned in access badges and cleaned out their workspaces, the price for refusing to agree to new restrictions on their jobs at the seat of U.S. military power. The refusal was near-unanimous, from trade publications, wire services, television networks and newspapers, and included outlets that appeal largely to conservatives like Fox News Channel and Newsmax. Many of the reporters chose to turn in their badges together at the 4 p.m. deadline set by the Defense Departm…

The Identification Power of Combining Experimental and Observational Data for Distributional Treatment Effect Parameters
Shosei Sakaguchi
https://arxiv.org/abs/2508.12206 https:…

The Identification Power of Combining Experimental and Observational Data for Distributional Treatment Effect Parameters
This paper investigates the identification power gained by combining experimental data, in which treatment is randomized, with observational data, in which treatment is self-selected, for distributional treatment effect (DTE) parameters. While experimental data identify average treatment effects, many DTE parameters, such as the distribution of individual treatment effects, are only partially identified. We examine whether, and how, combining the two data sources tightens the identified set for…

Constraining inhomogeneous energy injection from annihilating dark matter and primordial black holes with 21-cm cosmology
Yitian Sun, Joshua W. Foster, Julian B. Mu\~noz
https://arxiv.org/abs/2509.22772

Constraining inhomogeneous energy injection from annihilating dark matter and primordial black holes with 21-cm cosmology
The cosmic dawn 21-cm signal is a highly sensitive probe of any process which injects energy into the intergalactic medium, enabling novel searches for anomalous energy injection by through dark matter interactions. In addition to modifying the global 21-cm signal, these processes would leave distinct imprints on the frequency-resolved 21-cm power spectrum with a morphology jointly set by the time- and spatial-dependence of energy emission and absorption. In this work, we extend the DM21cm code…

Kinematic flow from the flow of cuts
Ross Glew, Andrzej Pokraka
https://arxiv.org/abs/2508.11568 https://arxiv.org/pdf/2508.11568

Kinematic flow from the flow of cuts
The wavefunction coefficients of conformally coupled scalars in power-law FRW cosmologies satisfy differential equations governed by a set of simple combinatorial rules known as the kinematic flow. In this paper we derive the kinematic flow, expressed using a set of differential forms referred to as the cut basis, from a geometric perspective, relying solely on the cosmological hyperplane arrangement and without invoking bulk physics. Each element of the cut basis corresponds to the positive ge…

Massive wind farm project off UK coast set to power thousands of homes, creating jobs and promoting clean energy. #climatechange #climatesolutions #climate

Massive new energy facility could deliver next-gen power to hundreds of thousands of homes: 'Critical projects'
The Export and Investment Fund of Denmark announced a £500 million finance guarantee for a wind farm's expansion off the coast of the United Kingdom.

So I'm walking Ruh 🐱 out. She stops at her favorite corner of the wooden garden box to scratch it. I've noticed that His Ekscellence 🐈 is already running around, and sneaking up from the other side of the box. He stops at the other corner and starts looking around it. She also looks around her corner. She starts scratching her corner, he scratches his. Both set themselves in the position to jump out. Ek starts running towards her, she only screams at him once, and midway he changes direction and runs away.
That's the true #cat power.

Hierarchical Retrieval: The Geometry and a Pretrain-Finetune Recipe
Chong You, Rajesh Jayaram, Ananda Theertha Suresh, Robin Nittka, Felix Yu, Sanjiv Kumar
https://arxiv.org/abs/2509.16411

Hierarchical Retrieval: The Geometry and a Pretrain-Finetune Recipe
Dual encoder (DE) models, where a pair of matching query and document are embedded into similar vector representations, are widely used in information retrieval due to their simplicity and scalability. However, the Euclidean geometry of the embedding space limits the expressive power of DEs, which may compromise their quality. This paper investigates such limitations in the context of hierarchical retrieval (HR), where the document set has a hierarchical structure and the matching documents for…

On the system of length sets of power monoids
Andreas Reinhart
https://arxiv.org/abs/2508.10209 https://arxiv.org/pdf/2508.10209

On the system of length sets of power monoids
The set $\mathcal{P}_{{\rm fin},0}(\mathbb{N}_0)$ of all finite subsets of $\mathbb{N}_0$ containing the zero element is a monoid with set addition as operation. If a set $A\in\mathcal{P}_{{\rm fin},0}(\mathbb{N}_0)$ can be written in the form $A=\sum_{i=1}^{\ell} A_i$ with $\ell\in\mathbb{N}_0$ and indecomposable elements $(A_i)_{i=1}^{\ell}$ of $\mathcal{P}_{{\rm fin},0}(\mathbb{N}_0)$, then $\ell$ is a factorization length of $A$ and $\mathsf{L}(A)\subseteq\mathbb{N}_0$ denotes the set of al…

The Exceptional Set in Goldbach's Problem with two Chen Primes
Lasse Grimmelt, Joni Ter\"av\"ainen
https://arxiv.org/abs/2508.16400 https://a…

The Exceptional Set in Goldbach's Problem with two Chen Primes
We show that all natural numbers $n\equiv 4\pmod 6$ are the sum of two Chen primes (primes $p$ such that $p+2$ has at most two prime factors), apart from a power-saving set of exceptions. This improves on various previous results and is optimal, barring substantial progress on the twin prime or binary Goldbach conjectures. The proof is based on constructing a non-negative model for the Chen primes in a suitable approximate sense. To do this, we develop an efficient sieving strategy that makes…

"In Malawi, a rural community shines bright with 100% solar power milestone"
#Malawi #SolarPower #Energy #Renewables

In Malawi, a rural community shines bright with 100% solar power milestone
LILONGWE — Four years ago, a U.K.-based charity, SolarAid, set out to provide solar-powered electricity to every home in Kasakula, a village around 90 kilometers, or 56 miles, from Malawi’s capital, Lilongwe. The project was aimed at demonstrating the potential for distributing and maintaining renewable energy in rural Africa. Today, SolarAid says it has installed […]

Strongly chirped dissipative solitons in normal and anomalous dispersion regimes
V. L. Kalashnikov, A. Rudenkov, E. Sorokin, I. T. Sorokina
https://arxiv.org/abs/2509.22806 http…

Strongly chirped dissipative solitons in normal and anomalous dispersion regimes
We develop an adiabatic theory for strongly chirped dissipative solitons governed by the cubic-quintic complex Ginzburg-Landau equation and analyze their existence regions in both normal and anomalous dispersion regimes. Closed-form expressions for the frequency cut-off and peak power yield two physical branches whose admissibility is set by a compact dimensionless parameterization. The analysis reveals that dissipative-soliton resonance (chirp-driven temporal stretching with bounded peak power…

Predicting Credit Spreads and Ratings with Machine Learning: The Role of Non-Financial Data
Yanran Wu, Xinlei Zhang, Quanyi Xu, Qianxin Yang, Chao Zhang
https://arxiv.org/abs/2509.19042

Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions
Bo Feng, Xiang Li, Yuanche Liu, Yan-Qing Ma, Yang Zhang
https://arxiv.org/abs/2509.21769 https://

Symbolic Reduction of Multi-loop Feynman Integrals via Generating Functions
We introduce a novel, systematic method for the complete symbolic reduction of multi-loop Feynman integrals, leveraging the power of generating functions. The differential equations governing these generating functions naturally yield symbolic recurrence relations. We develop an efficient algorithm that utilizes these recurrences to reduce integrals to a minimal set of master integrals. This approach circumvents the exponential growth of traditional Integration-by-Parts relations, enabling the …

Chile breaks ground on massive wind farm to transform power grid, aiming for 3.5 GW capacity by 2027. Clean, renewable energy for 300,000 homes. #climatechange #climatesolutions #climate …

Officials break ground on massive facility that will transform power grid: 'Much more than a plan; it is a reality'
Chile is set to make massive strides in diversifying its energy production with the groundbreaking of the Pampa Fidelia wind farm.

Numerical simulations of a RF-RF hybrid plasma torch with argon at atmospheric pressure
Loann Terraz, Biruk Alemu, Santiago Eizaguirre
https://arxiv.org/abs/2508.13858 https://

Numerical simulations of a RF-RF hybrid plasma torch with argon at atmospheric pressure
We report numerical results regarding the minimum sustaining coil excitation current for a RF-RF hybrid torch operating at two different frequencies. The first coil is excited at a high-frequency, while the second coil is set at a medium frequency. The filling gas is argon, at atmospheric pressure. We use the modeling software COMSOL Multiphysics to describe the evolution of key parameters when: (i) the distance between the two coils changes, (ii) the power of the high frequency coil changes. W…

On generalized disc-polygons in plane convex bodies with a higher degree of smoothness
Ferenc Fodor, D\'aniel I. Papv\'ari
https://arxiv.org/abs/2509.11702 https://

On generalized disc-polygons in plane convex bodies with a higher degree of smoothness
We prove power series expansions for the expectations of the number of vertices and missed area of random $L$-convex polygons in planar convex bodies with sufficiently smooth boundaries. Random $L$-convex polygons arise as the intersection of all translates of a fixed convex set $L$ that contain i.i.d. uniform random points from a suitable plane convex body $K$. Our results extend the asymptotic formulas proved in Fodor, Papvári and Vígh (2020) and Fodor and Montenegro (2024), and have conseq…

An Optimal Control Interpretation of Augmented Distributed Optimization Algorithms
Liam Hallinan, Ioannis Lestas
https://arxiv.org/abs/2509.17785 https://a…

An Optimal Control Interpretation of Augmented Distributed Optimization Algorithms
Distributed optimization algorithms are used in a wide variety of problems involving complex network systems where the goal is for a set of agents in the network to solve a network-wide optimization problem via distributed update rules. In many applications, such as communication networks and power systems, transient performance of the algorithms is just as critical as convergence, as the algorithms link to physical processes which must behave well. Primal-dual algorithms have a long history in…

Solar power in Texas breaks records, stabilizes grid during peak times. Transition to renewables crucial for meeting demand and reducing reliance on fossil fuels. #climatechange #climatesolutions #climate

Solar and batteries had a record-setting, grid-stabilizing summer in Texas
Solar has set 17 power generation records in Texas so far this year, shoring up the grid alongside batteries as some gas plant developers step back.

On Korovkin-type theorems including exponential test functions on infinite intervals through power series convergence
Dilek S\"oylemez, Mehmet \"Unver
https://arxiv.org/abs/2510.12568

On Korovkin-type theorems including exponential test functions on infinite intervals through power series convergence
Approximation theory has long been concerned with the development of positive linear operators that effectively approximate classes of functions. Among the most well-known results in this area are Korovkin-type approximation theorems, which provide simple and elegant criteria for convergence by testing only on a small set of functions. Motivated by these classical results and their extensions, we focus on versions that preserve exponential functions and incorporate modern summability techniques…

Replaced article(s) found for math.LO. https://arxiv.org/list/math.LO/new
[1/1]:
- Notes on the equiconsistency of ZFC without the Power Set axiom and second order PA
Vladimir Kanovei, Vassily Lyubetsky

"One quiet change is about to let you export much more solar"
#Australia #Energy #SolarPower #Renewables

One quiet change is about to let you export much more solar
It doesn’t sound big. But this humble new set of rules will make it possible for many Australian households to export a lot more solar – and help the power grid .

Texas solar and batteries break records, stabilize grid during high-demand periods. Renewable energy sources prove cost-effective and reliable compared to gas power plants. #climatechange #climatesolutions

Solar and batteries had a record-setting, grid-stabilizing summer in Texas
Solar has set 17 power generation records in Texas so far this year, shoring up the grid alongside batteries as some gas plant developers step back.

"Solar and batteries break records, stabilize Texas grid through scorching summer"
#US #USA #America #Texas

Solar and batteries had a record-setting, grid-stabilizing summer in Texas
Solar has set 17 power generation records in Texas so far this year, shoring up the grid alongside batteries as some gas plant developers step back.