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Fuzzy Logic for Incidence Geometry [PDF]
The Scientific World Journal, 2016 The paper presents a mathematical framework for approximate geometric reasoning with extended objects in the context of Geography, in which all entities and their relationships are described by human language. These entities could be labelled by commonly
Alex Tserkovny
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Approximate incidence geometry in the plane. [PDF]
Res Math SciAbstract These are lecture notes for a mini-course given in Banff in June 2024. They discuss the problem of bounding the number of $$\delta $$ δ
Orponen T.
europepmc +6 more sources
Incidence geometry and universality in the tropical plane [PDF]
Journal of Combinatorial Theory - Series A, 2018 We examine the incidence geometry of lines in the tropical plane. We prove tropical analogs of the Sylvester-Gallai and Motzkin-Rabin theorems in classical incidence geometry. This study leads naturally to a discussion of the realizability of incidence data of tropical lines. Drawing inspiration from the von Staudt constructions and Mnëv's universality
Dhruv Ranganathan
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Matroid Enumeration for Incidence Geometry [PDF]
Discrete and Computational Geometry, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sonoko Moriyama +2 more
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Convex subspaces of Lie incidence geometries [PDF]
Combinatorial Theory, 2022 Let \(\Gamma\) be a hexagonic Lie incidence structure, e.g.\ a long root geometry of a (thick irreducible) spherical Tits building; compare \textit{E. E. Shult} [Points and lines. Characterizing the classical geometries. Berlin: Springer (2011; Zbl 1213.51001)]. The authors classify all convex subspaces of \(\Gamma\) under the assumption that \(\Gamma\)
Jeroen Meulewaeter +1 more
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Design, Implementation, and Verification of High-Accuracy Trapezoidal Dual-Axis Sun Sensors for LEO Satellite Attitude Determination [PDF]
SensorsThis paper presents a dual-axis sun sensor employing a cross-slit aperture in conjunction with a four-quadrant trapezoidal photodiode layout. The cross-slit configuration enhances angular sensitivity and resolution, while the trapezoidal photodiode ...
Mang Ou-Yang +12 more
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Optimization of hydrofoil leading-edge geometry for delaying incipient cavitation using a CFD–GA approach [PDF]
Science ProgressCavitation is a common phenomenon in hydraulic machinery, which brings negative impacts such as noise, vibration, performance drop and material damage into hydraulic turbomachinery.
Xinyi Xie, Ran Tao
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Ruled surface theory and incidence geometry [PDF]
, 2016 This is an expository paper about applications of ruled surface theory in incidence geometry. It surveys the results that have been proven, gives an overview of the methods, and discusses some open problems and further directions. It will appear in the book Journey Through Discrete Mathematics, a Tribute to Jiri Matousek, edited by Martin Loebl ...
Larry Guth
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Incidence geometry in a Weyl chamber I: GL
Advances in Applied Mathematics, 2020 We study the central hyperplane arrangement whose hyperplanes are the vanishing loci of the weights of the first and the second fundamental representations of $\mathfrak{gl}_n$ restricted to the dual fundamental Weyl chamber. We obtain generating functions that count flats and faces of a given dimension.
Mboyo Esole +3 more
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