Triangulation
View article: DelaunayTriangulation.jl: A Julia package for Delaunay triangulations and Voronoi tessellations in the plane
DelaunayTriangulation.jl: A Julia package for Delaunay triangulations and Voronoi tessellations in the plane Open
DelaunayTriangulation.jl: Delaunay triangulation and Voronoi tessellations in two dimensions.
View article: delaunay: A d-dimensional Delaunay triangulation library
delaunay: A d-dimensional Delaunay triangulation library Open
A Rust library for computing d-dimensional Delaunay triangulations inspired by CGAL. The library provides lightweight alternatives for computational geometry applications with support for arbitrary data types associated with vertices and c…
View article: The Geodetic Pivot: Cartographic Projections and Datum Evolution from Empirical Measurement to Algorithmic Reality
The Geodetic Pivot: Cartographic Projections and Datum Evolution from Empirical Measurement to Algorithmic Reality Open
This paper explores the fundamental transformation of cartographic projections and geodetic datums from their historical reliance on painstaking empirical measurement to their contemporary instantiation as products of advanced algorithmic …
View article: Le Pilotage Multidimensionnel de la Performance Durable : Vers un Modèle de Tableau de Bord Intégré pour l'Alignement Stratégique ESG et le Contrôle de Gestion
Le Pilotage Multidimensionnel de la Performance Durable : Vers un Modèle de Tableau de Bord Intégré pour l'Alignement Stratégique ESG et le Contrôle de Gestion Open
Résumé Cette étude examine le passage du contrôle de gestion, traditionnellement axé sur la performance financière, à un système incluant les aspects ESG. Elle souligne que cette progression exige une réorganisation des processus de prise …
View article: Le Pilotage Multidimensionnel de la Performance Durable : Vers un Modèle de Tableau de Bord Intégré pour l'Alignement Stratégique ESG et le Contrôle de Gestion
Le Pilotage Multidimensionnel de la Performance Durable : Vers un Modèle de Tableau de Bord Intégré pour l'Alignement Stratégique ESG et le Contrôle de Gestion Open
Résumé Cette étude examine le passage du contrôle de gestion, traditionnellement axé sur la performance financière, à un système incluant les aspects ESG. Elle souligne que cette progression exige une réorganisation des processus de prise …
View article: The Geodetic Pivot: Cartographic Projections and Datum Evolution from Empirical Measurement to Algorithmic Reality
The Geodetic Pivot: Cartographic Projections and Datum Evolution from Empirical Measurement to Algorithmic Reality Open
This paper explores the fundamental transformation of cartographic projections and geodetic datums from their historical reliance on painstaking empirical measurement to their contemporary instantiation as products of advanced algorithmic …
View article: Unveiling the Abelian Spectrum of Triangulated Categories
Unveiling the Abelian Spectrum of Triangulated Categories Open
In this paper, we delve into the intricate structure of triangulated categories, focusing on the construction and properties of their Abelian spectrum. We introduce a novel approach to understanding the local behavior of these categories b…
View article: Abelian Signatures of Triangulated Categories: Derived Reconstruction Theorems
Abelian Signatures of Triangulated Categories: Derived Reconstruction Theorems Open
This paper introduces the concept of "abelian signatures" for triangulated categories as novel invariants aimed at providing deeper insights into their structure and enabling derived reconstruction. Triangulated categories, fundamental in …
View article: The Role of Experiential Triangulation in Social Connection
The Role of Experiential Triangulation in Social Connection Open
Introduction The variability of human empathy remains a central paradox in social psychology. When exposed to identical narratives of distress or triumph, individuals demonstrate divergent responses ranging from profound visceral grief to …
View article: The Role of Experiential Triangulation in Social Connection
The Role of Experiential Triangulation in Social Connection Open
Introduction The variability of human empathy remains a central paradox in social psychology. When exposed to identical narratives of distress or triumph, individuals demonstrate divergent responses ranging from profound visceral grief to …
View article: Unveiling the Abelian Spectrum of Triangulated Categories
Unveiling the Abelian Spectrum of Triangulated Categories Open
In this paper, we delve into the intricate structure of triangulated categories, focusing on the construction and properties of their Abelian spectrum. We introduce a novel approach to understanding the local behavior of these categories b…
View article: Abelian Signatures of Triangulated Categories: Derived Reconstruction Theorems
Abelian Signatures of Triangulated Categories: Derived Reconstruction Theorems Open
This paper introduces the concept of "abelian signatures" for triangulated categories as novel invariants aimed at providing deeper insights into their structure and enabling derived reconstruction. Triangulated categories, fundamental in …
View article: T-Structures as Classifying Objects for Exact Structures on Triangulated Categories
T-Structures as Classifying Objects for Exact Structures on Triangulated Categories Open
This paper investigates the role of t-structures as classifying objects for exact structures on triangulated categories. We demonstrate that the heart of a t-structure, under suitable conditions, can be equipped with an exact structure tha…
View article: T-Structures as Classifying Objects for Exact Structures on Triangulated Categories
T-Structures as Classifying Objects for Exact Structures on Triangulated Categories Open
This paper investigates the role of t-structures as classifying objects for exact structures on triangulated categories. We demonstrate that the heart of a t-structure, under suitable conditions, can be equipped with an exact structure tha…
View article: The Exact Structure of Triangulated Categories: Unveiling Abelian Foundations
The Exact Structure of Triangulated Categories: Unveiling Abelian Foundations Open
Triangulated categories are foundational structures in algebraic geometry, representation theory, and homological algebra. While their axiomatic definition provides a powerful framework for studying objects up to quasi-isomorphism, their u…
View article: The Exact Structure of Triangulated Categories: Unveiling Abelian Foundations
The Exact Structure of Triangulated Categories: Unveiling Abelian Foundations Open
Triangulated categories are foundational structures in algebraic geometry, representation theory, and homological algebra. While their axiomatic definition provides a powerful framework for studying objects up to quasi-isomorphism, their u…
View article: A Human × Machine Paradigm: How Psychology Can (Re)shape the AI Landscape
A Human × Machine Paradigm: How Psychology Can (Re)shape the AI Landscape Open
This paper presents a vision on how psychology can position itself in a growing dominance of artificial intelligence (AI). To this end, we propose a Human × Machine paradigm that can help psychology (re)shape the AI landscape. We foresee a…
View article: UAP Dish Sentinel Network Extension for Passive Detection and Tracking of Unidentified Aerial Phenomena (UAP) Using Consumer Ku-band Satellite Infrastructure
UAP Dish Sentinel Network Extension for Passive Detection and Tracking of Unidentified Aerial Phenomena (UAP) Using Consumer Ku-band Satellite Infrastructure Open
This paper extends the Dish Sentinel Network (DSN), originally developed for ultra-early severe-weather warnings using consumer satellite TV signal attenuation (Swygert, 2025, doi:10.5281/zenodo.17790267), into a continental-to-global pass…
View article: UAP Dish Sentinel Network Extension for Passive Detection and Tracking of Unidentified Aerial Phenomena (UAP) Using Consumer Ku-band Satellite Infrastructure
UAP Dish Sentinel Network Extension for Passive Detection and Tracking of Unidentified Aerial Phenomena (UAP) Using Consumer Ku-band Satellite Infrastructure Open
This paper extends the Dish Sentinel Network (DSN), originally developed for ultra-early severe-weather warnings using consumer satellite TV signal attenuation (Swygert, 2025, doi:10.5281/zenodo.17790267), into a continental-to-global pass…
View article: Exact Structures on Triangulated Categories
Exact Structures on Triangulated Categories Open
This paper explores the intricate relationship between exact structures and triangulated categories, two fundamental concepts in modern homological algebra and category theory. Triangulated categories provide a robust framework for studyin…
View article: Exact Structures on Triangulated Categories
Exact Structures on Triangulated Categories Open
This paper explores the intricate relationship between exact structures and triangulated categories, two fundamental concepts in modern homological algebra and category theory. Triangulated categories provide a robust framework for studyin…
View article: Practical polygonal triangulation in O(n + r log r) Time
Practical polygonal triangulation in O(n + r log r) Time Open
We present an algorithm for triangulating a simple polygon with n vertices in O(n + r log r) time, where r is thenumber of reflex vertices. The key observation is that a polygon with r reflex vertices has at most 2r + 2 local extrema,enabl…
View article: Higher-degree super-smooth <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e818" altimg="si3.svg"> <mml:msup> <mml:mrow> <mml:mi>C</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:math> splines over a Powell–Sabin refined triangulation
Higher-degree super-smooth splines over a Powell–Sabin refined triangulation Open
View article: Perceptions of the coach-athlete relationship in high-performance sport: a case study in Australian softball
Perceptions of the coach-athlete relationship in high-performance sport: a case study in Australian softball Open
Sport is afforded high status in the Australian cultural landscape and is often utilised to promote social integration and individual or group development. This status extends explicitly into the Australian high-performance sector, where s…
View article: Practical polygonal triangulation in O(n + r log r) Time
Practical polygonal triangulation in O(n + r log r) Time Open
We present an algorithm for triangulating a simple polygon with n vertices in O(n + r log r) time, where r is thenumber of reflex vertices. The key observation is that a polygon with r reflex vertices has at most 2r + 2 local extrema,enabl…
View article: English Language Needs in the Banking Sector in Malaysia, Thailand, Indonesia and Vietnam: A Systematic Review
English Language Needs in the Banking Sector in Malaysia, Thailand, Indonesia and Vietnam: A Systematic Review Open
English literacy has become a vital ability for professionals in the banking sector, especially in today’s globalised economy. This study examines eight publications from 2020 to 2024 on English for Specific Purposes (ESP) in the banking a…
View article: Improving Student Discipline in Islamic Junior High Schools
Improving Student Discipline in Islamic Junior High Schools Open
This research aims to determine the school's strategies in improving student discipline at MTs Al Mukhtar Adipala Cilacap. This research method uses a qualitative approach. Data collection techniques used are observation, interviews, and d…
View article: Geo-Chronological Reconstruction of the Kingdom of Sheba
Geo-Chronological Reconstruction of the Kingdom of Sheba Open
Traditional historiographical consensus places the diplomatic interaction between King Solomon (10th century BCE) and the Queen of Sheba within the Jerusalem-Yemen axis. However, the validity of this narrative faces serious challenges when…
View article: Topological Operator Suppression: A Constructive Derivation from Entangled Causal Hypergraphs
Topological Operator Suppression: A Constructive Derivation from Entangled Causal Hypergraphs Open
A general operator suppression law is derived from first principles within the Quantum Entanglement Spacetime Theory (QuEST) framework. Using only combinatorial constructs permitted by the QuEST Execution Protocol (QEP), the work shows tha…
View article: Topological Operator Suppression: A Constructive Derivation from Entangled Causal Hypergraphs
Topological Operator Suppression: A Constructive Derivation from Entangled Causal Hypergraphs Open
A general operator suppression law is derived from first principles within the Quantum Entanglement Spacetime Theory (QuEST) framework. Using only combinatorial constructs permitted by the QuEST Execution Protocol (QEP), the work shows tha…