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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
doaj +5 more sources
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 +4 more sources
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
exaly +3 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
exaly +4 more sources
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]
, 2017 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, Guth Larry
exaly +3 more sources
The pentagon relation and incidence geometry [PDF]
Journal of Mathematical Physics, 2014 We define a map \documentclass[12pt]{minimal}\begin{document}$S:{\mathbb {D}}^2\times {\mathbb {D}}^2 \dashrightarrow {\mathbb {D}}^2\times {\mathbb {D}}^2$\end{document}S:D2×D2⤏D2×D2, where \documentclass[12pt]{minimal}\begin{document}${\mathbb {D}}$\end{document}D is an arbitrary division ring (skew field), associated with the Veblen configuration ...
Adam Doliwa, S M Sergeev, Doliwa Adam
exaly +3 more sources
Velocity Increment on Incidence Angle near the Leading Edge of the Compressor Cascade
Aerospace, 2023 The geometry of a compressor leading edge has an important effect on the aerodynamic performance at an off-designed incidence angle. The current geometric design methods of the leading edge are usually developed based on the flow characteristics at the ...
Xiaobin Xu +3 more
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Quotients of incidence geometries [PDF]
Designs, Codes and Cryptography, 2011 We develop a theory for quotients of geometries and obtain sufficient conditions for the quotient of a geometry to be a geometry. These conditions are compared with earlier work on quotients, in particular by Pasini and Tits. We also explore geometric properties such as connectivity, firmness and transitivity conditions to determine when they are ...
Philippe Cara +3 more
openaire +3 more sources