Tootfinder

{purrr} has some lesser known functions that make handling of failing function calls easier: safely, quietly, possibly: #rstats

Wrap a function to capture errors — safely
Creates a modified version of .f that always succeeds. It returns a list with components result and error. If the function succeeds, result contains the returned value and error is NULL. If an error occurred, error is an error object and result is either NULL or otherwise.

Social Welfare Function Leaderboard: When LLM Agents Allocate Social Welfare
Zhengliang Shi, Ruotian Ma, Jen-tse Huang, Xinbei Ma, Xingyu Chen, Mengru Wang, Qu Yang, Yue Wang, Fanghua Ye, Ziyang Chen, Shanyi Wang, Cixing Li, Wenxuan Wang, Zhaopeng Tu, Xiaolong Li, Zhaochun Ren, Linus
https://arxiv.org/abs/2510.01164

Social Welfare Function Leaderboard: When LLM Agents Allocate Social Welfare
Large language models (LLMs) are increasingly entrusted with high-stakes decisions that affect human welfare. However, the principles and values that guide these models when distributing scarce societal resources remain largely unexamined. To address this, we introduce the Social Welfare Function (SWF) Benchmark, a dynamic simulation environment where an LLM acts as a sovereign allocator, distributing tasks to a heterogeneous community of recipients. The benchmark is designed to create a persis…

A half-shift reflection identity for the digamma function
Nikita Kalinin
https://arxiv.org/abs/2510.00012 https://arxiv.org/pdf/2510.00012

A half-shift reflection identity for the digamma function
We prove the identity \[ 2W_1(x) + \log 4 + ψ\left(\tfrac{1}{2} + x\right) + ψ\left(\tfrac{3}{2} - x\right) = 0, \] where $ψ$ is the digamma function and \[ W_1(x) = 2\int_0^\infty \Re\left( \frac{y}{(y^2+1)(e^{π(y+2ix)} - 1)} \right) dy. \] The identity was first conjectured while studying class number $h(D)$ for $D=m^2$ from two complementary perspectives. Our proof, however, is purely analytic: we compute cosine-series expansions of both sides, expressed in terms of the cosine integral C…

The hat polykite as an Iterated Function System
Corey de Wit
https://arxiv.org/abs/2510.00409 https://arxiv.org/pdf/2510.00409

The hat polykite as an Iterated Function System
This paper describes the celebrated aperiodic hat tiling by Smith et al. [Comb. Theory 8 (2024), 6] as generated by an overlapping iterated function system. We briefly introduce and study infinite sequences of iterated function systems that converge uniformly in each component, and use this theory to model the hat tiling's associated imperfect substitution system.

us_agencies: U.S. government agency websites (2018)
50 networks, one for each U.S. state, representing the web-based links between their associated government agencies websites. A node is an entire agency website and a directed edge (i,j) represents the existence of a hyperlink from any webpage in website i to some webpage in website j. Data was collected with a crawler. Nodes are annotated with the number of webpages per website, website name (related to its government function) and U…

have basically given up on streaming video subscriptions & rent things ala carte via the roku search function, which feels quietly like renting for the weekend from the video store, minus the browsing. ~$4 per rental, no further relationship, & no silo. (the willie doc is rentable via fandango.) https://heads.social/…

On partitions associated with elementary symmetric polynomials
Cristina Ballantine, Shaheen Nazir, Bridget Eileen Tenner, Karlee Westrem, Chenchen Zhao
https://arxiv.org/abs/2510.01100

On partitions associated with elementary symmetric polynomials
The elementary symmetric partition function is a map on the set of partitions. It sends a partition lambda to the partition whose parts are the summands in the evaluation of the elementary symmetric function on the parts of lambda. These elementary symmetric partition functions have been studied before, and are related to plethysm. In this note, we study properties of the elementary symmetric partition functions, particularly related to injectivity and the number of parts appearing in their ima…

»Akamai kauft WebAssembly-Spezialisten Fermyon:
Der Cloud- und Cybersecurity-Anbieter Akamai Technologies will mit der Akquisition des Serverless-Spezialisten Fermyon seine Edge-Computing-Strategie ausbauen. Im Fokus steht die WebAssembly-basierte Function-as-a-Service-Technologie.«
Schon länger ist WebAssembly (@…) im Aufwind, nun aber auch umf…

Akamai kauft WebAssembly-Spezialisten Fermyon
Akamai Technologies will mit der Akquisition des Serverless-Spezialisten Fermyon seine Edge-Computing-Strategie ausbauen.

Kyle Cheney. @kyledcheney
Jack Smith says Trump's claims that he won the election were not protected free speech because they were intended to target a government function.
"There is no historical analog for what President Trump did in this case."
Smith says Trump "without question" added to the danger to Mike Pence's life with his 2:24pm tweet while the Capitol was under attack.

A universal compression theory: Lottery ticket hypothesis and superpolynomial scaling laws
Hong-Yi Wang, Di Luo, Tomaso Poggio, Isaac L. Chuang, Liu Ziyin
https://arxiv.org/abs/2510.00504

A universal compression theory: Lottery ticket hypothesis and superpolynomial scaling laws
When training large-scale models, the performance typically scales with the number of parameters and the dataset size according to a slow power law. A fundamental theoretical and practical question is whether comparable performance can be achieved with significantly smaller models and substantially less data. In this work, we provide a positive and constructive answer. We prove that a generic permutation-invariant function of $d$ objects can be asymptotically compressed into a function of $\ope…

For now, here's where I am on student LLM-use:
1) The contemporary university's primary social function is certification.
2) Prompting LLMs does not require a degree. For universities, this is existential.
3) Admin tell faculty - academic freedom! - that we alone (without any support) can solve the problem. We can integrate LLMs or track down their illicit use.
4) My job is to teach, not to police students or hawk the hype. So I teach those who want to learn and …

Pion bremsstrahlung in the splitting function formalism and the dark photon production
Dmitry Gorbunov, Ekaterina Kriukova
https://arxiv.org/abs/2510.00213 https://

Pion bremsstrahlung in the splitting function formalism and the dark photon production
We study the production of hypothetical vector portal mediators, dark photons $γ^\prime$, with masses in the range 0.4-3.5 GeV in the negatively charged pion-proton collisions $π^-p\rightarrow γ^\prime X$ via inelastic pion bremsstrahlung and QCD Drell-Yan-like process. In both cases we estimate the value of total dark photon production cross section and obtain the energy distribution for dark photons that could be produced in the NA64h experiment. We also present the mean energies of dark p…

"strncpy() is a weird function with a crappy API."
good thing I don't do C 🙃
Seriously though - projects defining their own strc(o)py do mean flaws in a standard library.
https://daniel.haxx.se/blog/2025/12/29/no-strcpy-either/

no strcpy either
Some time ago I mentioned that we went through the curl source code and eventually got rid of all strncpy() calls. strncpy() is a weird function with a crappy API. It might not null terminate the destination and it pads the target buffer with zeroes. Quite frankly, most code bases are probably better off completely … Continue reading no strcpy either →

Smooth functions which are Morse on preimages of values not being local extrema and constructing natural functions of the class on connected sums of manifolds admitting these functions
Naoki Kitazawa
https://arxiv.org/abs/2510.00464

Smooth functions which are Morse on preimages of values not being local extrema and constructing natural functions of the class on connected sums of manifolds admitting these functions
We discuss smooth functions which are Morse on preimages of values not being local extrema. We call such a function internally Morse or I-Morse. The Reeb graph of a smooth function is the space of all connected components of preimages of single points of it topologized with the natural quotient topology of the manifolds and a vertex of it is a point corresponding to a preimage with critical points. A smooth function is neat with respect to the Reeb graph or N-Reeb if the preimages of the vert…

Uppvärmning fungerar. Ju mer specifik den är desto mer effektiv brukar den bli.
Do warm-ups improve muscle strength? https://www.news-medical.net/news/20250911/Do-warm-ups-improve-muscle-strength.aspx

Do warm-ups improve muscle strength?
Increasing muscle temperature through warm-ups enhances contractile function and power, but maximum force remains unchanged, highlighting methodological limits.

So there's obviously ICE agents doing it because they're small, power-hungry racists.. but it's clear that a fair number of them are doing it just for the money. The expectation is that they will get back pay once the government shutdown ends, but what happens if it doesn't end? Do we end up with ICE losing the ability to function due to attrition, or do we end up with Trump declaring that ICE agents can keep the spoils of whatever they seize from people they abduct?

Correlation function metrology for warm dense matter: Recent developments and practical guidelines
Maximilian Peter B\"ohme, Willow Martin, Hannah Bellenbaum, Magaret Berrens, Jan Vorberger, Sebastian Schwalbe, Zhandos Moldabekov, Thomas Gawne, Sebastien Hamel, Brianna Aguilar-Solis, Abhiraj Sharma, Frank Graziani, Tilo D\"oppner, Siegfried Glenzer, Tobias Dornheim, David Bishel

Correlation function metrology for warm dense matter: Recent developments and practical guidelines
X-ray Thomson scattering (XRTS) has emerged as a valuable diagnostic for matter under extreme conditions, as it captures the intricate many-body physics of the probed sample. Recent advances, such as the model-free temperature diagnostic of Dornheim et al. [Nat.Commun. 13, 7911 (2022)], have demonstrated how much information can be extracted directly within the imaginary-time formalism. However, since the imaginary-time formalism is a concept often difficult to grasp, we provide here a systemat…

New pre-print out: "Types, equations, dimensions and the Pi theorem".
We formalized the covariance principle (physical laws must be independent of units) as a homomorphism between the algebra of physical quantities and real numbers.
While the Pi Theorem from Dimensional Analysis (DA) is non-constructive, we introduce a constructive method for applying it. This could enable DA-driven program derivation where the type checker helps identify valid physical laws.
📝 Bl…

Sonnet 113 - CXIII
Since I left you, mine eye is in my mind;
And that which governs me to go about
Doth part his function and is partly blind,
Seems seeing, but effectually is out;
For it no form delivers to the heart
Of bird, of flower, or shape which it doth latch:
Of his quick objects hath the mind no part,
Nor his own vision holds what it doth catch;
For if it see the rud'st or gentlest sight,
The most sweet favour or deform…

😵 Diesel exhaust particles disrupt the function of brain's immune cells, study shows
https://medicalxpress.com/news/2025-11-diesel-exhaust-particles-disrupt-function.html

Diesel exhaust particles disrupt the function of brain's immune cells, study shows
Diesel exhaust particles can disturb the function of human brain immune cells, known as microglia, according to a recent study led by the University of Eastern Finland. The findings, published in Environment International, shed light on how traffic-related air pollution could contribute to brain inflammation and neurodegenerative diseases.

Rectifying Regression in Reinforcement Learning
Alex Ayoub, David Szepesv\'ari, Alireza Baktiari, Csaba Szepesv\'ari, Dale Schuurmans
https://arxiv.org/abs/2510.00885 ht…

Rectifying Regression in Reinforcement Learning
This paper investigates the impact of the loss function in value-based methods for reinforcement learning through an analysis of underlying prediction objectives. We theoretically show that mean absolute error is a better prediction objective than the traditional mean squared error for controlling the learned policy's suboptimality gap. Furthermore, we present results that different loss functions are better aligned with these different regression objectives: binary and categorical cross-entrop…

A novel approach through spherical functions in the characterization of invariant polynomials
Roc\'io D\'iaz Mar\'in, Linda Saal
https://arxiv.org/abs/2510.01043 htt…

A novel approach through spherical functions in the characterization of invariant polynomials
Given a compact subgroup K of the orthogonal group acting on the Euclidean space Rn, Gerald Schwarz proved that every smooth K-invariant function on Rn can be expressed as a smooth function of a generating set of $K$-invariant polynomials on n variables. The goal of this work is to provide an alternative and more straightforward proof of this result, based on Gelfand theory, with a particular focus on spherical functions.

from my link log —
atexit() is broken.
https://www.mulle-kybernetik.com/weblog/2019/atexit_is_broken.html
saved 2019-06-20 https://…

The CoCompiler: DSL Lifting via Relational Compilation
Naomi Spargo (Galois), Santiago Cu\'ellar (Galois), Jonathan Daugherty (Galois), Chris Phifer (Galois), David Darais (Galois)
https://arxiv.org/abs/2510.00210

The CoCompiler: DSL Lifting via Relational Compilation
Lifting low-level or legacy code into a domain-specific language (DSL) improves our ability to understand it, enables deeper formal reasoning, and facilitates safe modification. We present the CoCompiler, a bidirectional compiler and lifter between C and Lustre, a synchronous dataflow language used for reactive systems. The key insight behind the CoCompiler is that writing a compiler as a relation, rather than as a traditional function, yields a DSL lifter "for free". We implement this idea by …

Function Health, a health tracking tech company, raised a $298M Series B led by Redpoint Ventures at a $2.5B valuation, bringing its total funding to $350M (Kate Park/TechCrunch)
https://techcrunch.com/2025/11/19/funct…

Function Health raises $298M Series B at $2.5B valuation | TechCrunch
Function, which offers blood testing and medical imaging services, recently raised $298 million in a Series B round led by Redpoint Ventures at a valuation of $2.5 billion.

Privately Estimating Black-Box Statistics
G\"unter F. Steinke, Thomas Steinke
https://arxiv.org/abs/2510.00322 https://arxiv.org/pdf/2510.00322…

Privately Estimating Black-Box Statistics
Standard techniques for differentially private estimation, such as Laplace or Gaussian noise addition, require guaranteed bounds on the sensitivity of the estimator in question. But such sensitivity bounds are often large or simply unknown. Thus we seek differentially private methods that can be applied to arbitrary black-box functions. A handful of such techniques exist, but all are either inefficient in their use of data or require evaluating the function on exponentially many inputs. In this…

Probability Density Estimation via Optimal Control
Markus Hegland, C. Yal\c{c}{\i}n Kaya
https://arxiv.org/abs/2510.00835 https://arxiv.org/pdf/2510.00835

Probability Density Estimation via Optimal Control
We employ optimal control theory to study the problem of estimating the probability density function from a data set originating from an unknown probability distribution. The original variational problem is reformulated as a multi-stage optimal control problem and the associated maximum principle, or conditions of optimality, is reduced to a two-point boundary-value problem with interior conditions. A numerical scheme is proposed to solve the discretization of this problem. Estimates of density…

Released a small update to my early-stage @… map distributor for locally hosting map files.
It now has a small comfort function for updating map files, based on the ones you already got downloaded from a former release. This helps not having to specify your map files of interest for each new map release.
Small warning: I unified the default storage location to be internally consistent (i.e. it's no longer `comaps_folder/maps` but simply `maps`).
#openstreetmap

Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularities
Kohei Noda
https://arxiv.org/abs/2510.00843 https://ar…

Partition functions of two-dimensional Coulomb gases with circular root- and jump-type singularities
In this paper, we study the random polynomial $p_n(ρ):=\prod_{j=1}^n (|z_j|-ρ)$, where the points $\{z_j\}_{j=1}^n$ are the eigenvalue moduli of random normal matrices with a radially symmetric potential. We establish precise large $n$ asymptotic expansions for the moment generating function \[ \mathbb{E}\!\left[e^{\tfrac{u}π\mathrm{Im}\log p_n(ρ)}\, e^{a\,\mathrm{Re}\log p_n(ρ)}\right], \qquad u\in\mathbb{R}, \; a>-1, \] where $ρ>0$ lies in the bulk of the spectral droplet. The…

Predictive Control Barrier Functions for Discrete-Time Linear Systems with Unmodeled Delays
Juan Augusto Paredes Salazar, James Usevitch, Ankit Goel
https://arxiv.org/abs/2510.01059

Predictive Control Barrier Functions for Discrete-Time Linear Systems with Unmodeled Delays
This paper introduces a predictive control barrier function (PCBF) framework for enforcing state constraints in discrete-time systems with unknown relative degree, which can be caused by input delays or unmodeled input dynamics. Existing discrete-time CBF formulations typically require the construction of auxiliary barrier functions when the relative degree is greater than one, which complicates implementation and may yield conservative safe sets. The proposed PCBF framework addresses this chal…

I did not know about ggplot_build() before. It can come in handy in situations where you want to access computed metrics of a #ggplot. https://ggplot2.tidyverse.org/reference/ggplot_build.html…

Build ggplot for rendering. — ggplot_build
build_ggplot() takes the plot object, and performs all steps necessary to produce an object that can be rendered. This function outputs two pieces: a list of data frames (one for each layer), and a panel object, which contain all information about axis limits, breaks etc. The ggplot_build() function is vestigial and build_ggplot() should be used instead.

Boundaried Kernelization via Representative Sets
Leonid Antipov, Stefan Kratsch
https://arxiv.org/abs/2510.00832 https://arxiv.org/pdf/2510.00832

Boundaried Kernelization via Representative Sets
A kernelization is an efficient algorithm that given an instance of a parameterized problem returns an equivalent instance of size bounded by some function of the input parameter value. It is quite well understood which problems do or (conditionally) do not admit a kernelization where this size bound is polynomial, a so-called polynomial kernelization. Unfortunately, such polynomial kernelizations are known only in fairly restrictive settings where a small parameter value corresponds to a stron…

First-Order Axial Perturbation of the Reissner-Nordstr\"om Metric In a Possible Chern-Simons Gravity Background
Abhishek Rout, Brett Altschul
https://arxiv.org/abs/2510.01106

First-Order Axial Perturbation of the Reissner-Nordström Metric In a Possible Chern-Simons Gravity Background
We axial perturbations of Reissner-Nordström black holes within the framework of Chern-Simons modified gravity, a theory with includes parity violation. We derive the governing equations for the perturbations, focusing on the radial function $R(r)$ and its behavior across distinct regions: near the singularity ($r \rightarrow 0$), between the inner and outer Reissner-Nordström horizons ($r_-< r< r_+$), and in the asymptotic regime ($r \rightarrow \infty$). Using a combination of analytical an…

Notes on the Geometry of Electromagnetic Fields and Maxwell's Equations along a non-null curves in non flat-3D space forms $M_{q}^{3}(c)$
Fatma Almaz, Cumali Ekici
https://arxiv.org/abs/2510.00170 …

Notes on the Geometry of Electromagnetic Fields and Maxwell's Equations along a non-null curves in non flat-3D space forms $M_{q}^{3}(c)$
In this paper, the directional derivatives in accordance with the orthonormal frame {T, N, B} are defined in $M_{q}^{3}(c)$, and the extended Serret-Frenet relations by using Frenet formulas are expressed. Furthermore, we express the bending elastic energy function for the same particle in $M_{q}^{3}(c)$ according to curve $α(s,ξ,η)$ and geometrical interpretation of the energy for unit vector fields and we also solve Maxwell's equations for the electric and magnetic field vectors in $M_{q}^…

A Data-Adaptive Factor Model Using Composite Quantile Approach
Seeun Park, Hee-Seok Oh
https://arxiv.org/abs/2510.00558 https://arxiv.org/pdf/2510.00558

A Data-Adaptive Factor Model Using Composite Quantile Approach
This paper proposes a data-adaptive factor model (DAFM), a novel framework for extracting common factors that explain the structures of high-dimensional data. DAFM adopts a composite quantile strategy to adaptively capture the full distributional structure of the data, thereby enhancing estimation accuracy and revealing latent patterns that are invisible to conventional factor models. In this paper, we develop a practical algorithm for estimating DAFM by minimizing an objective function based o…

The Economic Impact of DeFi Crime Events on Decentralized Autonomous Organizations (DAOs)
Stefan Kitzler, Masarah Paquet-Clouston, Bernhard Haslhofer
https://arxiv.org/abs/2510.00669

The Economic Impact of DeFi Crime Events on Decentralized Autonomous Organizations (DAOs)
The Decentralized Finance (DeFi) ecosystem has experienced over \$10 billion in direct losses due to crime events. Beyond these immediate losses, such events often trigger broader market reactions, including price declines, trading activity changes, and reductions in market capitalization. Decentralized Autonomous Organizations (DAOs) govern DeFi applications through tradable governance assets that function like corporate shares for voting and decision-making. Leveraging DeFi's granular trading…

Non-invasive technology can shape the brain's reward-seeking mechanisms https://www.plymouth.ac.uk/news/non-invasive-technology-can-shape-the-brains-reward-seeking-mechanisms Non-invasive ultrasonic neuromodulation of the human …

Non-invasive technology can shape the brain’s reward-seeking mechanisms
University of Plymouth news: New research led by the University of Plymouth has found that targeted ultrasound can be used to change the function of a...

Removable singularities and Harnack inequality for nonlinear H\"ormander degenerate subelliptic equations
Jiayi Qiang, Yawei Wei, Mengnan Zhang
https://arxiv.org/abs/2510.00755

Removable singularities and Harnack inequality for nonlinear Hörmander degenerate subelliptic equations
This paper concerns the quasilinear subelliptic function derived from Hörmander vector fields. Based on the significant work of J. Serrin in \cite{SER}, M. Meier in \cite{MM1}, and L. Capogna, D. Danielli and N. Garofalo in \cite{LC1,LDN}, we obtain the removable singularities and Harnack inequality by a sharp Sobolev inequalities under weaker integrability of coefficients in structure conditions. Furthermore, we get the Hölder continuity when domain $Ω$ is equiregular.

Dark-to-black super accretion as a mechanism for early supermassive black hole growth
Nicolas Sanchis-Gual, Juan Barranco, Juan Carlos Degollado, Dar\'io Nu\~nez
https://arxiv.org/abs/2510.00644

Dark-to-black super accretion as a mechanism for early supermassive black hole growth
The discovery of supermassive black holes with masses $\gtrsim 10^9 M_\odot$ at redshifts $z\gtrsim 10$ challenges conventional formation scenarios based on baryonic accretion and mergers within the first few hundred million years. We propose an alternative channel in which ultralight scalar dark matter undergoes dark-to-black conversion via quasi-bound state depletion around black hole seeds. We estimate the accretion rate of the scalar field as a function of the boson mass parameter $μ$ and …

How many channels can a photonic system support?
Paul Virally, Pengning Chao, Alessio Amaolo, Alejandro Rodriguez, Sean Molesky
https://arxiv.org/abs/2510.01128 https://

How many channels can a photonic system support?
We develop a general method to bound the ordered singular values (channel amplitudes) of the electromagnetic Green function for arbitrarily structured linear photonic systems. The approach yields computable, quantitatively predictive, upper bounds on the $n^{th}$ singular value that capture the complexity of multi-channel tradeoffs from the device perspective. As an illustration of the practical value of the framework, indexed channel bounds are obtained for multi-wavelength scale three-dimensi…

Symbolic and High-Accuracy Solutions to Differential and Integral Problems via a Novel Recursive Inverse Laplace Method
Mohamed Mostafa
https://arxiv.org/abs/2510.00719 https://…

Symbolic and High-Accuracy Solutions to Differential and Integral Problems via a Novel Recursive Inverse Laplace Method
In this paper, we introduce a novel semi-analytical method for solving a broad class of initial value problems involving differential, integro-differential, and delay equations, including those with fractional and variable-order derivatives. The proposed approach is based on the inverse Laplace transform, applied initially - unlike traditional Laplace-based techniques which begin with a forward transformation. By assuming the unknown solution is the Laplace transform of an auxiliary function, t…

Updates to the WFC3/UVIS Saturation Map
Mitchell Revalski, Isabel Rivera, Varun Bajaj, Frederick Dauphin
https://arxiv.org/abs/2510.00097 https://arxiv.org…

Updates to the WFC3/UVIS Saturation Map
The calwf3 software for WFC3/UVIS utilizes a reference file to flag pixels that are saturated beyond their full-well depth. Previously, this was accomplished using a constant threshold of 65,500 e$^{-}$ across the entire detector. In this study, we retrieved $\sim$1 million stars from the Mikulski Archive for Space Telescopes (MAST) to determine the flux level at which the Point Spread Function begins to flatten, which occurs as the central pixel saturates. We quantified the saturation limit as…

Measurement of the dineutrino system kinematic variables in dileptonic top quark pair production in proton-proton collisions at$\sqrt{s}$ = 13 TeV
CMS Collaboration
https://arxiv.org/abs/2510.00160

Measurement of the dineutrino system kinematic variables in dileptonic top quark pair production in proton-proton collisions at$\sqrt{s}$ = 13 TeV
Differential top quark pair production cross sections are measured in the dilepton final states e$^+$e$^-$, $μ^+μ^-$, and e$^\pmμ^\mp$, as a function of kinematic variables of the two-neutrino system: the transverse momentum $p_\mathrm{T}^{νν}$ of the dineutrino system, the minimum distance in azimuthal angle between $\vec{p}_\mathrm{T}^{\,νν}$ and leptons, and in two dimensions in bins of both observables. The measurements are performed using CERN LHC proton-proton collisions at $\sqrt{…

please enjoy: my Wasm-hosted, Wasm-targeting build of Clang/Clang /LLD: a self-contained, 25 MiB (gzipped) pure function
https://www.npmjs.com/package/@yowasp/clang

Spatial fluctuation for stochastic heat equation with H\"older coefficients
Carl Mueller, Fei Pu
https://arxiv.org/abs/2510.00807 https://arxiv.org/pd…

Spatial fluctuation for stochastic heat equation with Hölder coefficients
In this paper, we establish associativity, spatial ergodicity and a central limit theorem for certain nonnegative solutions to the stochastic heat equation $\partial_t u=\frac12\partial_x^2 u+ u^γξ$ with $γ\in (0, 1)$. When $γ=\frac12$, we derive a limit for the moment generating function of the spatial integral and provide a lower bound on the spatial growth of the solution.

I’m _not_ saying to never put a live region in / on a button, but I _am_ saying it may not (will not) perform as you want.
https://cdpn.io/aardrian/debug/WbxvPOd/
Maybe try a ‘Multi-Function Button’ instead.

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[4/7]:
- Replicable Reinforcement Learning with Linear Function Approximation
Eric Eaton, Marcel Hussing, Michael Kearns, Aaron Roth, Sikata Bela Sengupta, Jessica Sorrell

ThinkBrake: Mitigating Overthinking in Tool Reasoning
Minjae Oh, Sangjun Song, Seungkyu Lee, Sungmin Jo, Yohan Jo
https://arxiv.org/abs/2510.00546 https://…

ThinkBrake: Mitigating Overthinking in Tool Reasoning
Small reasoning models (SRMs) often overthink during tool use: they reach a correct tool-argument configuration, then continue reasoning and overwrite it with an incorrect final call. We diagnose overthinking via oracle rollouts that inject at sentence boundaries. On the Berkeley Function Calling Leaderboard (BFCL), this oracle termination lifts average accuracy from 85.8\% to 94.2\% while reducing tokens by 80-94\%, revealing substantial recoverable headroom and potential redundant re…

Efficient spectra from atomistic simulation: a generalized master equation study of the air-water interface
Thomas Sayer
https://arxiv.org/abs/2510.00867 https://

Efficient spectra from atomistic simulation: a generalized master equation study of the air-water interface
Computing condensed phase spectra from atomistic simulations requires calculating correlation functions from molecular dynamics and can be very expensive. A totally general, data-driven method to reduce cost is to employ an exact rewriting to a generalized master equation characterized by a memory kernel. The decay time of the kernel can be less than the original function, reducing the amount of data required. In this paper we construct the minimal projection operator to predict vibrational sum…

Unified theory of attractive and repulsive polarons in one-dimensional Bose gas
Nikolay Yegovtsev, T. Alper Yo\u{g}urt, Matthew T. Eiles, Victor Gurarie
https://arxiv.org/abs/2510.01046

Unified theory of attractive and repulsive polarons in one-dimensional Bose gas
We present a unified description of attractive and repulsive polarons, formed in a one-dimensional Bose gas hosting an impurity particle, by obtaining all ground and excited state solutions to the Gross-Pitaevskii equation. Modeling the impurity with an attractive square-well potential, we characterize the excited-state energy branches as a function of interaction strength. As the impurity-bath coupling increases, the excited states change from distinct soliton configurations to hybridized soli…

Bayesian Neural Networks for Functional ANOVA model
Seokhun Park, Choeun Kim, Jihu Lee, Yunseop Shin, Insung Kong, Yongdai Kim
https://arxiv.org/abs/2510.00545 https://

Bayesian Neural Networks for Functional ANOVA model
With the increasing demand for interpretability in machine learning, functional ANOVA decomposition has gained renewed attention as a principled tool for breaking down high-dimensional function into low-dimensional components that reveal the contributions of different variable groups. Recently, Tensor Product Neural Network (TPNN) has been developed and applied as basis functions in the functional ANOVA model, referred to as ANOVA-TPNN. A disadvantage of ANOVA-TPNN, however, is that the compone…

To portray a mind as a kind of high-powered survival machine orchestrated and controlled by genes is, then, fundamentally a misconceived picture of what minds are.
Ball, Philip. How Life Works: A User’s Guide to the New Biology (p. 427). (Function). Kindle Edition.

Infinitesimal Dilogarithm Satisfies Cluster Identities
Sinan Unver
https://arxiv.org/abs/2510.00016 https://arxiv.org/pdf/2510.00016

Infinitesimal Dilogarithm Satisfies Cluster Identities
In this paper, we show that the infinitesimal dilogarithm and Kontsevich's one-and-a-half logarithm function satisfies the identities which result from periods in cluster patterns. We also prove that these cluster identities are a consequence of the pentagon relation in the infinitesimal case.

Opening a pull request on Sipeed's NanoKVM repo implementing this critical BeOS system function on their RISC-V Linux platform

An iterative-bijective approach to asymmetric generalizations of Schur's theorem
Laure Velenik
https://arxiv.org/abs/2510.00846 https://arxiv.org/pdf/2…

An iterative-bijective approach to asymmetric generalizations of Schur's theorem
In this paper, we present a new Rogers--Ramanujan type identity for overpartitions by extending the asymmetrical version of Schur's theorem due to Lovejoy to a broader class of infinite products. More precisely, we provide a combinatorial interpretation of the following product, for any positive integer $k$, as a generating function for a class of overpartitions in which parts appear in $2^k - 1$ colors: \[ \frac{(-y_1 q;q)_\infty \cdots (-y_k q;q)_\infty}{(y_1 d q;q)_\infty}. \] Our proof is b…

The Non-Attainment Phenomenon in Robust SOCPs
Vinh Nguyen
https://arxiv.org/abs/2510.00318 https://arxiv.org/pdf/2510.00318

The Non-Attainment Phenomenon in Robust SOCPs
A fundamental theorem of linear programming states that a feasible linear program is solvable if and only if its objective function is copositive with respect to the recession cone of its feasible set. This paper demonstrates that this crucial guarantee does not extend to Second-Order Cone Programs (SOCPs), a workhorse model in robust and convex optimization. We construct and analyze a rigorous counterexample derived from a robust linear optimization problem with ellipsoidal uncertainty. The re…

Our inability to understand the exponential function is our biggest weakness - Prof Albert Bartlett
https://www.youtube.com/watch?v=1bvwOrGn1Zs

Formation Control via Rotation Symmetry Constraints
Zamir Martinez, Daniel Zelazo
https://arxiv.org/abs/2510.00676 https://arxiv.org/pdf/2510.00676

Formation Control via Rotation Symmetry Constraints
We present a distributed formation control strategy for multi-agent systems based only on rotation symmetry constraints. We propose a potential function that enforces inter-agent \textbf{rotational} symmetries, with its gradient defining the control law driving the agents toward a desired symmetric and planar configuration. We show that only $(n-1)$ edges, the minimal connectivity requirement, are sufficient to implement the control strategy, where $n$ is the number of agents. We further augmen…

Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport
Yesom Park, Shu Liu, Mo Zhou, Stanley Osher
https://arxiv.org/abs/2510.01153 https://arx…

Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport
We present a novel framework for solving optimal transport (OT) problems based on the Hamilton--Jacobi (HJ) equation, whose viscosity solution uniquely characterizes the OT map. By leveraging the method of characteristics, we derive closed-form, bidirectional transport maps, thereby eliminating the need for numerical integration. The proposed method adopts a pure minimization framework: a single neural network is trained with a loss function derived from the method of characteristics of the HJ …

Noncoincidence $f(Q)$-Cosmology with Dark Matter Coupled to Gravity
A. Abebe, P. S. Apostolopoulos, A. Giacomini, G. Leon, F. Moncada, A. Paliathanasis
https://arxiv.org/abs/2510.00535

Noncoincidence $f(Q)$-Cosmology with Dark Matter Coupled to Gravity
We investigate FLRW cosmology in the framework of symmetric teleparallel $f(Q)$ gravity with a nonminimal coupling between dark matter and the gravitational field. In the noncoincidence gauge, the field equations admit an equivalent multi-scalar field representation, which we investigate the phase-space using the Hubble-normalization approach. We classify all stationary points for arbitrary function $f(Q)$ and we discuss the physical properties of the asymptotic solutions. For the power-law the…

TIL 2 things about Slack that surprised me:
PSA 1: Slack doesn’t have a “Block” function. It does however have a “Hide” function.
PSA 2: By default, Slack includes everyone’s email address in the info you get when you right-click on them and view their profile. Thankfully, this can be turned off.

november17: November17 members (2009)
A network representing connections among members of the November 17 (N17) Greek terrorist group. Nodes are members, and an edge exists if two members have some connection in the past. Metadata include role, function, resources. Some attributes are missing.
This network has 22 nodes and 66 edges.
Tags: Social, Offline, Unweighted, Metadata

Remotely Almost Periodic Solutions of Scalar Differential Equations
David Cheban
https://arxiv.org/abs/2510.00474 https://arxiv.org/pdf/2510.00474

Remotely Almost Periodic Solutions of Scalar Differential Equations
The aim of this paper is to study the problem of existence of remotely almost periodic solutions for the scalar differential equation $x'=f(t,x),$ where $f:\mathbb R\times \mathbb R\to \mathbb R$ is a continuous, monotone in $x$ and remotely almost periodic in $t$ function. We prove that every solution $φ$ of this equation bounded on the semi-axis $\mathbb R_{+}$ is remotely almost periodic. This statement is a generalization of the well-known Opial's theorem for remotely almost periodic scala…

I'll just leave this here.
https://www.justice.gov/archives/jm/criminal-resource-manual-1666-destruction-government-property-18-usc-1361

Integrated Local Energy Decay for Waves with Time-Dependent Damping
Perry Kleinhenz, Michael McNulty
https://arxiv.org/abs/2510.00179 https://arxiv.org/pdf…

Integrated Local Energy Decay for Waves with Time-Dependent Damping
We prove integrated local energy decay for solutions of the damped wave equation with time-dependent damping satisfying an appropriate generalization of the geometric control condition on asymptotically flat, stationary space-times. We first obtain a high frequency estimate, which we prove via a positive commutator estimate using an escape function explicitly constructed in terms of the damping around individual space-time trajectories. We combine the high frequency estimate with low and medium…

On three classes of logarithmic integrals
Necdet Bat{\i}r, Nandan Sai Dasireddy
https://arxiv.org/abs/2510.00870 https://arxiv.org/pdf/2510.00870

On three classes of logarithmic integrals
In this paper, we evaluate the following families of definite integrals in closed form and we show that they are expressible only in terms of the dilogarithm function and the inverse tangent integral, and elementary functions. \begin{equation*} \int_{0}^{1}\frac{\log\big(x^m+1\big)}{x+1}\thinspace{\rm d}x \quad \mbox{and}\quad \int_{0}^{1}\frac{\log\big(x^m+1\big)}{x^2+1}\thinspace{\rm d}x, \end{equation*} where $m$ is a positive odd integer. When $m$ is a positive even integer, these integrals…

Anybody else wish C and C had named function arguments like SystemVerilog module ports, and allowed you to default-value an optional argument in any position?
foo.bar(
.baz(1),
.foobar("hai"),
//foobaz is unspecified and gets a default value
.asdf(42)
);

Hook immanantal inequalities for totally nonnegative matrices
Mark Skandera
https://arxiv.org/abs/2510.00327 https://arxiv.org/pdf/2510.00327

Hook immanantal inequalities for totally nonnegative matrices
Given a weakly decreasing positive integer sequence $λ= (λ_1,\dotsc,λ_\ell)$ summing to $n$, let $χ^λ$ denote the irreducible character of the symmetric group $S_n$ indexed by $λ$. This representation has dimension $χ^λ(e)$, where $e$ is the identity element of $S_n$. Let $\mathrm{Imm}_{χ^λ}$ denote the corresponding irreducible character immanant, the function on $n \times n$ matrices $A = (a_{i,j})$ defined by $\mathrm{Imm}_{χ^λ}(A) := \sum_{w \in S_n} χ^λ(w) a_{1,w_1} \cdots a_…

"History is important, monuments matter. And the home of the U.S. president isn’t just a building to be optimized for function. It is a symbol of power, legacy and national identity. Respect for the nation and all that it has built still matters. These aren’t trifles or overreactions. They are the foundations of the republic we built. That’s worth defending."
**'Astonishing': Wall Street Journal editorial writer bashes Trump's ballroom 'fiasco' **- Raw Story
https://www.rawstory.com/trump-ballroom-2674234424/

Quantitative improvements of functional inequalities under concavity properties
Andreas Malliaris, Francisco Mar\'in Sola
https://arxiv.org/abs/2510.00645 https://

Quantitative improvements of functional inequalities under concavity properties
A classical result of Hensley provides a sharp lower bound for the functional $\int_\mathbb{R} t^2f$, where $f$ is a non-negative, even log-concave function. In the context of studying the minimal slabs of the unit cube, Barthe and Koldobsky established a quantitative improvement of Hensley's bound. In this work, we complement their result in several directions. First, we prove the corresponding upper bound inequality for $s$-concave functions with $s\geq 0$. Second, we present a generalization…

Non-Euclidean Broximal Point Method: A Blueprint for Geometry-Aware Optimization
Kaja Gruntkowska, Peter Richt\'arik
https://arxiv.org/abs/2510.00823 https://

Non-Euclidean Broximal Point Method: A Blueprint for Geometry-Aware Optimization
The recently proposed Broximal Point Method (BPM) [Gruntkowska et al., 2025] offers an idealized optimization framework based on iteratively minimizing the objective function over norm balls centered at the current iterate. It enjoys striking global convergence guarantees, converging linearly and in a finite number of steps for proper, closed and convex functions. However, its theoretical analysis has so far been confined to the Euclidean geometry. At the same time, emerging trends in deep lear…

Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form
Ajit Bhand, Ashoke Sen, Ranveer Kumar Singh
https://arxiv.org/abs/2510.05219 https://

Generating Function of Single Centered Black Hole Index from the Igusa Cusp Form
We introduce manifestly duality invariant generating function of the index of single centered black holes in the heterotic string theory compactified on a six dimensional torus. This function is obtained by subtracting, from the inverse of the Igusa cusp form, the generating function of the index of two centered black holes constructed from the Dedekind eta function. We also study the analytic properties of this function in the Siegel upper half plane.

Me: "I wonder if there's a Python function to figure out the day of the week."
Me after 5 seconds of searching: There is!
Me after opening code I wrote last week: Oh yeah, now I remember.

Happy Holidays and Merry Xmas to all the folks working behind the scenes to make this day function for everyone else. Myself included. #NFL #strangerthings

us_agencies: U.S. government agency websites (2018)
50 networks, one for each U.S. state, representing the web-based links between their associated government agencies websites. A node is an entire agency website and a directed edge (i,j) represents the existence of a hyperlink from any webpage in website i to some webpage in website j. Data was collected with a crawler. Nodes are annotated with the number of webpages per website, website name (related to its government function) and U…

On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
Michael R. Powers
https://arxiv.org/abs/2510.00315 https://

On the Uniqueness of Ein(1) among Linear Combinations of the Euler-Mascheroni and Euler-Gompertz Constants
From a well-known equation of Hardy, one can derive a simple linear combination of the Euler-Mascheroni constant ($γ=0.577215\ldots$) and Euler-Gompertz constant ($δ=0.596347\ldots$): $γ+δ/e=\textrm{Ein}\left(1\right)$. Although neither $γ$ nor $δ$ is currently known to be irrational, this linear combination has been shown to be transcendental (by virtue of the fact that it appears as an algebraic point value of a particular E-function). Moreover, both pairs ($γ$,$δ$) and ($γ$,$δ/e$) …

Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains
Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu
https://arxiv.org/abs/2510.00173

Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains
In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain where the diffusion coefficient degenerates at one point of the boundary. The linearized degenerated system is treated using a Carleman inequality for degenerated non-autonomous systems proved by the autors in [19] and the local controllability of the semilinear system is obtained using Liusterniks inverse function theore…

Networked Control and Mean Field Problems Under Diagonal Dominance: Decentralized and Social Optimality
Vivek Khatana, Duo Wang, Petros Voulgaris, Nicola Elia, Naira Hovakimyan
https://arxiv.org/abs/2510.01067

Networked Control and Mean Field Problems Under Diagonal Dominance: Decentralized and Social Optimality
In this article, we employ an input-output approach to expand the study of cooperative multi-agent control and optimization problems characterized by mean-field interactions that admit decentralized and selfish solutions. The setting involves $n$ independent agents that interact solely through a shared cost function, which penalizes deviations of each agent from the group's average collective behavior. Building on our earlier results established for homogeneous agents, we extend the framework t…

Series C, Episode 13 - Terminal
ZEN: Emergence from matter belt in thirty-nine point zero one seconds.
TARRANT: Any damage yet?
ZEN: Hull sensors appear temporarily impaired. All other systems continue on full function.
https://blake.torpidity.net/m/313/139 B7B2

It has happened to the best of us: You forgot the name of a function or the package that function was in but you are sure its there somewhere and does exactly what you need! Introduce {forgot}, it helps you find that function: https://github.com/parmsam/forgot

GitHub - parmsam/forgot: R package to search for that one function you need in that one package
R package to search for that one function you need in that one package - parmsam/forgot

Is there a function in #Android to deal with #contacts where the phone number has changed? If I simply change the address book entry, I am left with an orphaned Signal/SMS archive - in a while, I will have no idea who I texted with, or how to find the text I exchanged with my friend.
If I lea…

As inference splits into prefill and decode, Nvidia's Groq deal could enable a "Rubin SRAM" variant optimized for ultra-low latency agentic reasoning workloads (Gavin Baker/@gavinsbaker)
https://x.com/gavinsbaker/status/2004562536918598000

Gavin Baker (@GavinSBaker) on X
Nvidia is buying Groq for two reasons imo.   1) Inference is disaggregating into prefill and decode. SRAM architectures have unique advantages in decode for workloads where performance is primarily a function of memory bandwidth. Rubin CPX, Rubin and the putative “Rubin SRAM”

On function-on-function linear quantile regression
Muge Mutis, Ufuk Beyaztas, Filiz Karaman, Han Lin Shang
https://arxiv.org/abs/2510.10792 https://arxiv.o…

On function-on-function linear quantile regression
We present two innovative functional partial quantile regression algorithms designed to accurately and efficiently estimate the regression coefficient function within the function-on-function linear quantile regression model. Our algorithms utilize functional partial quantile regression decomposition to effectively project the infinite-dimensional response and predictor variables onto a finite-dimensional space. Within this framework, the partial quantile regression components are approximated …

Progressively Sampled Equality-Constrained Optimization
Frank E. Curtis, Lingjun Guo, Daniel P. Robinson
https://arxiv.org/abs/2510.00417 https://arxiv.org…

Progressively Sampled Equality-Constrained Optimization
An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the constraints are defined by an expectation or an average over a large (finite) number of terms. The main idea of the algorithm is to solve a sequence of equality-constrained problems, each involving a finite sample of constraint-function terms, over which the sample set grows progressively. Under assumptions about the constraint functions and their first- and secon…

Epstein Files Transparency Act:
"The Attorney General shall ... make publicly available in a searchable and downloadable format."
NYT:
The DOJ "website also contains a search function, though it is unclear if it’s working properly.
A query for 'Epstein' returned no results."
-- Ryan Goodman

Ryan Goodman (@rgoodlaw.bsky.social)
Epstein Files Transparency Act: "The Attorney General shall ... make publicly available in a searchable and downloadable format." NYT: The DOJ "website also contains a search function, though it is unclear if it’s working properly. A query for 'Epstein' returned no results."

🏃 Team sports can lower blood pressure and improve function in patients with chronic diseases
https://medicalxpress.com/news/2025-09-team-sports-blood-pressure-function.html

Team sports can lower blood pressure and improve function in patients with chronic diseases
New research from the University of Copenhagen shows that team sports are a highly effective and potentially life-extending form of exercise for patients with high blood pressure and COPD. Even after a relatively short training period involving team sports, participants showed significantly improved blood pressure.

A first-order method for constrained nonconvex--nonconcave minimax problems under a local Kurdyka-{\L}ojasiewicz condition
Zhaosong Lu, Xiangyuan Wang
https://arxiv.org/abs/2510.01168

A first-order method for constrained nonconvex--nonconcave minimax problems under a local Kurdyka-Łojasiewicz condition
We study a class of constrained nonconvex--nonconcave minimax problems in which the inner maximization involves potentially complex constraints. Under the assumption that the inner problem of a novel lifted minimax problem satisfies a local Kurdyka-Łojasiewicz (KL) condition, we show that the maximal function of the original problem enjoys a local Hölder smoothness property. We also propose a sequential convex programming (SCP) method for solving constrained optimization problems and establis…

The {conflicted} package makes sure that namespace conflicts are solved explicitly and prevents unpleasent surprises: #rstats

Modeling the TMD shape function in $J/\psi$ electroproduction
Miguel G. Echevarria, Raj Kishore, Samuel F. Romera
https://arxiv.org/abs/2510.11809 https://…

Modeling the TMD shape function in $J/ψ$ electroproduction
The next-to-leading order hard function for quarkonium electroproduction is calculated within the framework of transverse-momentum-dependent (TMD) factorization in the low-transverse-momentum regime. The structure of the TMD shape function in quarkonium leptoproduction is analyzed through its operator-level definition. Particular attention is given to the convolution of the unpolarized TMD gluon distribution with the TMD shape function, thereby illustrating the latter's phenomenological role. B…

Brain stimulation improves vision recovery after stroke #noninvasive cf-tACS to …

Brain stimulation improves vision recovery after stroke
Scientists at EPFL have developed an innovative, non-invasive brain stimulation therapy to significantly improve visual function in stroke patients who have suffered vision loss following a stroke. The approach could offer a more efficient and faster way to regain visual function in such cases.

ok so, check this out
i have the YoWASP toolchain extension use a full OpenBSD toolchain cross-compiled to run on Wasm in the browser produce OpenBSD binaries!

OK confirmed... Core 1 is sitting exactly in the wait handler I expected it to be.
Core 0 is in another function that I've started reversing and is just in a while(1){wfi} loop.
So I'm not sure how I'm supposed to break out of that part. It would be hilarious if I just gave up and booted only core 1 because I couldn't get core 0 to do what I wanted.

When Monroe issued his famous doctrine in 1823, it wasn’t the chest-thumping declaration of hegemonic destiny that later generations made it out to be.
The Monroe Doctrine was, at root, a nervously defensive posture
— a hemispheric firewall against a reassertion of European imperial power in the post-Napoleonic world.
The U.S. was barely a functioning state itself, and its military reach extended no further than its continental borders.
The Doctrine’s function was …

Q&A with Roblox co-founder and CEO David Baszucki on using face scans to verify age, having a chat function on Roblox, AI content moderation at scale, and more (New York Times)
https://www.nytimes.com/2025/11/21/podcasts/hardfork-roblox-child-safety.html

We Asked Roblox’s C.E.O. About Child Safety. It Got Tense.
This week the company announced that it would require users to undergo an A.I.-powered age estimation process in order to chat with others on the platform. Will this change reassure parents?

You dont like the default color palett of #ggplot? You can change it: https://stackoverflow.com/questions/10504724/change-the-default-colour-palette-in-ggplot

Change the default colour palette in ggplot
I have written a function that returns a vector of color names: custom.colors <- function(n) { palette <- c("dodgerblue1", "skyblue4", "chocolate1", "seagreen4", "bisque3", ...

me: it's good code!
them: *look inside*
them: it's incomprehensible regular expressions!

{ if (match[1] !== undefined) { return match[1]; } else if (match[2] !== undefined) { …" target="_blank"> { if (match[1] !== undefined) { return match[1]; } else if (match[2] !== undefined) { …" onerror="this.style.display='none'" class="media" >

Kronecker second limit formula for real quadratic fields
YoungJu Choie, Rahul Kumar
https://arxiv.org/abs/2510.10554 https://arxiv.org/pdf/2510.10554

Kronecker second limit formula for real quadratic fields
In this paper, the second Kronecker ``limit" formula for a real quadratic field is established for the first time. More precisely, we obtain the second Kronecker limit formula of Zagier's zeta function. Using the reduction theory of Zagier, which connects Zagier's zeta function to the zeta function of real quadratic fields, we express the values of the zeta function of narrow ideal classes in real quadratic fields at natural arguments in terms of an analytic function which we call the \emph{hig…

Function-oriented Make-like declarative workflows for R #rstats

GitHub - ropensci/targets: Function-oriented Make-like declarative workflows for R
Function-oriented Make-like declarative workflows for R - ropensci/targets

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
Sumukha Sathyanarayana, N. Guru Sharan
https://arxiv.org/abs/2510.10093 https://

Mordell--Tornheim zeta function: Kronecker limit type formulas and Special values
In this paper, we establish Kronecker limit type formulas for the generalized Mordell--Tornheim zeta function $Θ(r,s,t,x)$ as a function of the third variable, in terms of Riemann-zeta and Gamma values. We also give series evaluations of $Θ(r,s,t,x)$ in terms of Herglotz-Zagier type functions, and their derivatives. As applications of this, we derive Kronecker limit type formula in the second variable and a new infinite family of modular relations called mixed functional equations. We also st…

An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular $j$-function
Karin Ikeda
https://arxiv.org/abs/2510.10598 https://

An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular $j$-function
In 1997, Báez-Duarte gave a probabilistic proof of the asymptotic formula for the partition function, which had originally been proved by Hardy-Ramanujan. Based on the probabilistic approach, this paper proves an asymptotic formula for the coefficients of the elliptic modular $j$-function using various expressions in terms of modular functions having simple infinite products.