Tootfinder

Linear Geometry and Algebra
Taras Banakh
https://arxiv.org/abs/2506.14060 https://arxiv.org/pdf/2506.14060

Linear Geometry and Algebra
Linear Geometry studies geometric properties which can be expressed via the notion of a line. All information about lines is encoded in a ternary relation called a line relation. A set endowed with a line relation is called a liner. So, Linear Geometry studies liners. Imposing some additional axioms on a liner, we obtain some special classes of liners: regular, projective, affine, proaffine, etc. Linear Geometry includes Affine and Projective Geometries and is a part of Incidence Geometry. The …

What happens when stakeholders along the #supplychain join forces to eliminate #gender-based violence? Find out how investigations by WorkerRights and empowering #women

Landmark Gender Justice Agreement for Indonesian Garment Workers Shows the Power of Research and Campaigning
Last year, two garment factories in Indonesia signed a gender justice agreement aimed at eliminating gender-based violence with a union-led program. Now, the organizers behind it want to see the model spread across the country.

Court’s gender-affirming care ruling will impair all sex-based rights, say critics | US supreme court | The Guardian
https://www.theguardian.com/us-news/2025/jun/18/supreme-court-gender-affirming-care-decision

Yes, this!
The grooming gangs scandal is about class and gender, not religion and race | Morning Star
https://morningstaronline.co.uk/article/grooming-gangs-scandal-about-class-and-gender-not-religion-and-race…

On Geometrization of Classical Fields II (MES: dark matter, energy)
V. I. Noskov
https://arxiv.org/abs/2506.14313 https://arxiv.org/p…

On Geometrization of Classical Fields II (MES: dark matter, energy)
The study of arXiv:2502.01174 geometrization of classical fields in the 4d--Finsler space of MES (Model of Embedded Spaces) is continued. The model postulates a proper metric set of a distributed matter element and states that the space-time of the Universe is a physical Embedding of such sets. The Embedding geometry is a Finsler-like relativistic geometry with connectivity depending on the mechanical state of matter: torsion and non-metricity are absent. The Least Action Principle provides the…

Factorizations in Geometric Lattices
Alex Aguila, Elvis Cabrera, Jyrko Correa-Morris
https://arxiv.org/abs/2506.14892 https://arxiv.o…

Factorizations in Geometric Lattices
This article investigates atomic decompositions in geometric lattices isomorphic to the partition lattice $Π(X)$ of a finite set $X$, a fundamental structure in lattice theory and combinatorics. We explore the role of atomicity in these lattices, building on concepts introduced by D.D. Anderson, D.F. Anderson, and M. Zafrullah within the context of factorization theory in commutative algebra. As part of the study, we first examine the main characteristics of the function $\mathfrak{N}\colon Π…

Soft Factorisation and Exponentiation from Schwinger-Space Geometry
Carolina Figueiredo, Giulio Gambuti, Holmfridur S. Hannesdottir
https://arxiv.org/abs/2506.15603

Soft Factorisation and Exponentiation from Schwinger-Space Geometry
Infrared divergences in Quantum Field Theory govern the low-energy dynamics of many physical theories, and their understanding is a crucial ingredient in predicting the outcomes of collider experiments. We present a novel approach to deriving the structure of these divergences by employing the Schwinger parametrization of Feynman integrals. After using tropical geometry to identify divergent limits, we study the all-orders asymptotic properties of Feynman diagrams via matrix manipulations of gr…

PoseGRAF: Geometric-Reinforced Adaptive Fusion for Monocular 3D Human Pose Estimation
Ming Xu, Xu Zhang
https://arxiv.org/abs/2506.14596 https://

PoseGRAF: Geometric-Reinforced Adaptive Fusion for Monocular 3D Human Pose Estimation
Existing monocular 3D pose estimation methods primarily rely on joint positional features, while overlooking intrinsic directional and angular correlations within the skeleton. As a result, they often produce implausible poses under joint occlusions or rapid motion changes. To address these challenges, we propose the PoseGRAF framework. We first construct a dual graph convolutional structure that separately processes joint and bone graphs, effectively capturing their local dependencies. A Cross…

Analyzing URA Geometry for Enhanced Spatial Multiplexing and Extended Near-Field Coverage
Ahmed Hussain, Asmaa Abdallah, Abdulkadir Celik, Ahmed M. Eltawil
https://arxiv.org/abs/2506.15470

Analyzing URA Geometry for Enhanced Spatial Multiplexing and Extended Near-Field Coverage
With the deployment of large antenna arrays at high frequency bands, future wireless communication systems are likely to operate in the radiative near-field. Unlike far-field beam steering, near-field beams can be focused within a spatial region of finite depth, enabling spatial multiplexing in both the angular and range dimensions. This paper derives the beamdepth for a generalized uniform rectangular array (URA) and investigates how array geometry influences the near-field beamdepth and the l…