Tootfinder

Zahlen, bitte! Vom Klettern in der vierten Dimension
Der britische Mathematiker Charles Howard Hinton brachte den Menschen die vierte Dimension mit einem praktischen Ansatz näher: über ein Klettergerüst.
https://w…

Using Large Language Models to Study Mathematical Practice
William D'Alessandro
https://arxiv.org/abs/2507.02873 https://arxiv.org/pdf/2507.02873

Using Large Language Models to Study Mathematical Practice
The philosophy of mathematical practice (PMP) looks to evidence from working mathematics to help settle philosophical questions. One prominent program under the PMP banner is the study of explanation in mathematics, which aims to understand what sorts of proofs mathematicians consider explanatory and what role the pursuit of explanation plays in mathematical practice. In an effort to address worries about cherry-picked examples and file-drawer problems in PMP, a handful of authors have recently…

MathSmith: Towards Extremely Hard Mathematical Reasoning by Forging Synthetic Problems with a Reinforced Policy
Shaoxiong Zhan, Yanlin Lai, Ziyu Lu, Dahua Lin, Ziqing Yang, Fei Tang
https://arxiv.org/abs/2508.05592

MathSmith: Towards Extremely Hard Mathematical Reasoning by Forging Synthetic Problems with a Reinforced Policy
Large language models have achieved substantial progress in mathematical reasoning, yet their advancement is limited by the scarcity of high-quality, high-difficulty training data. Existing synthesis methods largely rely on transforming human-written templates, limiting both diversity and scalability. We propose MathSmith, a novel framework for synthesizing challenging mathematical problems to enhance LLM reasoning. Rather than modifying existing problems, MathSmith constructs new ones from scr…

🇺🇦 #NowPlaying on KEXP's #StreetSounds
Mos Def:
🎵 Mathematics
#MosDef
https://samadee.bandcamp.com/album/mos-def-mathematics-samadee-remix
https://open.spotify.com/track/3gRlmtdCyNoKiyozn2pqc9

Optimizing Shanghai's Household Waste Recycling Collection Program by Decision-Making based on Mathematical Modeling
Jiaxuan Chen, Ling Zhou Shen, Jinchen Liu
https://arxiv.org/abs/2507.03844

Optimizing Shanghai's Household Waste Recycling Collection Program by Decision-Making based on Mathematical Modeling
In this article, we will discuss the optimization of Shanghai's recycling collection program, with the core of the task as making a decision among the choice of the alternatives. We will be showing a vivid and comprehensive application of the classical mathematical multi-criteria decision model: Analytical Hierarchy Process (AHP), using the eigenvector method. We will also seek the key criteria for the sustainability development of human society, by assessing the important elements of waste rec…

#Mathematics #Maths

A Lasry-Lions envelope approach for mathematical programs with complementarity constraints
Jia Wang, Andreas Themelis, Ivan Markovsky, Panagiotis Patrinos
https://arxiv.org/abs/2507.04694

A Lasry-Lions envelope approach for mathematical programs with complementarity constraints
We propose a homotopy method for solving mathematical programs with complementarity constraints (CCs). The indicator function of the CCs is relaxed by a Lasry-Lions double envelope, an extension of the Moreau envelope that enjoys an additional smoothness property that makes it amenable to fast optimization algorithms. The proposed algorithm mimics the behavior of homotopy methods for systems of nonlinear equations or penalty methods for constrained optimization: it solves a sequence of smooth s…

#LB Boostando aqui os toots de ontem com a recepção de meus gatos quando cheguei do trabalho, jš que minha instância estava bugada quando os enviei da primeira vez e essas são imagens que merecem ser apreciadas por muita gente rs.
https://

Metamaterials and Negative Refractive Index
D. R. Smith, J. B. Pendry, M. C. K. Wiltshire
https://arxiv.org/abs/2507.05737 https://ar…

Metamaterials and Negative Refractive Index
Recently, artificially constructed metamaterials have become of considerable interest, as these materials can exhibit electromagnetic characteristics unlike any conventional materials. Artificial magnetism and negative refractive index are two specific types of behavior that have been demonstrated over the past few years, illustrating the new physics and new applications possible when we expand our view as to what constitutes a material. In this review, we describe recent advances in metamateri…

Wenn ein ganz kleines bisschen weniger Geld für Waffen(-Industrie) ausgegeben würde, wäre vielleicht genug da. Oder weniger staatliche Subvention für Vermieter via Wohngeld (stattdessen Mietendeckel).