Tootfinder

Establishing assembly-oriented modular product architectures through Design for Assembly enhanced Modular Function Deployment
Fabio Marco Monetti, Adam Lundstr\"om, Colin de Kwant, Magnus Gyllenskepp, Antonio Maffei
https://arxiv.org/abs/2510.11089

Establishing assembly-oriented modular product architectures through Design for Assembly enhanced Modular Function Deployment
Modular product design has become a strategic enabler for companies seeking to balance product variety, operational efficiency, and market responsiveness, making the alignment between modular architecture and manufacturing considerations increasingly critical. Modular Function Deployment (MFD) is a widely adopted method for defining modular product architectures, yet it lacks systematic support for assembly considerations during early concept and system-level development. This limitation increa…

Noncongruence modular curves as Hurwitz spaces
William Y. Chen
https://arxiv.org/abs/2510.12003 https://arxiv.org/pdf/2510.12003

Noncongruence modular curves as Hurwitz spaces
In this survey article we give an overview of how noncongruence modular curves can be viewed as Hurwitz moduli spaces of covers of elliptic curves at most branched above the origin. We describe some natural questions that arise, and applications of these ideas to the Inverse Galois Problem, Markoff triples and the arithmetic of Fourier coefficients for noncongruence modular forms.

Allensbach-Umfrage: Wachsende Zweifel an der Demokratie - Viele Deutsche trauen mittlerweile autoritären Systemen mehr Krisenkompetenz zu als Demokratien. Von Renate Köcher, Institut für Demoskopie Allensbach #FAZ (€)
Es ist unerträglich, wie die braune, rechtsradikale Saat aufgeht und Deutsche nach Hitler wieder an ein autoritäres System denken können.

Allensbach-Umfrage: Das Vertrauen in demokratische Systeme schwindet
Viele Deutsche trauen mittlerweile autoritären Systemen mehr Krisenkompetenz zu als Demokratien. Der Glaube an die Innovationskraft des Landes bleibt jedoch stark.

MOUFLON: Multi-group Modularity-based Fairness-aware Community Detection
Georgios Panayiotou, Anand Mathew Muthukulam Simon, Matteo Magnani, Ece Calikus
https://arxiv.org/abs/2510.12348

MOUFLON: Multi-group Modularity-based Fairness-aware Community Detection
In this paper, we propose MOUFLON, a fairness-aware, modularity-based community detection method that allows adjusting the importance of partition quality over fairness outcomes. MOUFLON uses a novel proportional balance fairness metric, providing consistent and comparable fairness scores across multi-group and imbalanced network settings. We evaluate our method under both synthetic and real network datasets, focusing on performance and the trade-off between modularity and fairness in the resul…

Refashion: Reconfigurable Garments via Modular Design
Rebecca Lin, Michal Luk\'a\v{c}, Mackenzie Leake
https://arxiv.org/abs/2510.11941 https://arxiv.o…

Refashion: Reconfigurable Garments via Modular Design
While bodies change over time and trends vary, most store-bought clothing comes in fixed sizes and styles and fails to adapt to these changes. Alterations can enable small changes to otherwise static garments, but these changes often require sewing and are non-reversible. We propose a modular approach to garment design that considers resizing, restyling, and reuse earlier in the design process. Our contributions include a compact set of modules and connectors that form the building blocks of mo…

The Ethics Engine: A Modular Pipeline for Accessible Psychometric Assessment of Large Language Models
Jake Van Clief, Constantine Kyritsopoulos
https://arxiv.org/abs/2510.11742 …

The Ethics Engine: A Modular Pipeline for Accessible Psychometric Assessment of Large Language Models
As Large Language Models increasingly mediate human communication and decision-making, understanding their value expression becomes critical for research across disciplines. This work presents the Ethics Engine, a modular Python pipeline that transforms psychometric assessment of LLMs from a technically complex endeavor into an accessible research tool. The pipeline demonstrates how thoughtful infrastructure design can expand participation in AI research, enabling investigators across cognitive…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Ned and Kris:
🎵 Cats and Dogs
#NedandKris
https://medlar.bandcamp.com/album/ned-and-kris-cats-and-dogs
https://open.spotify.com/track/1JhR4I9dL9cJkDZINk5znv

Commutative algebra inspired by modularity lifting
Srikanth B. Iyengar
https://arxiv.org/abs/2510.11875 https://arxiv.org/pdf/2510.11875

Commutative algebra inspired by modularity lifting
This article gives an overview of some recent results in commutative algebra that are inspired by the work of Wiles, Taylor and Wiles, Diamond, Lenstra and others on the modularity of elliptic curves.

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.

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
Pramath Anamby, Soumya Das
https://arxiv.org/abs/2509.12148 https://a…

Fundamental Fourier coefficients of Siegel modular forms of higher degrees and levels
We prove the following statement about any Siegel modular form $F$ of degree $n$ and arbitrary odd level $N$ on the group $Γ_1^{(n)}(N)$. Let $A(F,T)$ denote the Fourier coefficients of $F$ and write $T=(T(i,j))$. Suppose that $F$ has a non-zero Fourier coefficient $A(F,T_0)$ such that $(T_0(n,n),N)=1$. Then there exist infinitely many odd and square-free (and thus fundamental) integers $m$ such that $m=\mathrm{discriminant}(T)$ and $A(F,T)\neq 0$. In the case of odd degrees, we prove a stro…