Results 11 to 20 of about 228,651 (326)
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 ...
Sergey M. Sergeev, Adam Doliwa
openaire +5 more sources
Incidence geometry in a Weyl chamber II: SL
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.
Alfred G. Noël +3 more
+11 more sources
Convex subspaces of Lie incidence geometries [PDF]
Combinatorial Theory, 2022 We classify the convex subspaces of all hexagonic Lie incidence geometries (among which all long root geometries of spherical Tits-buildings). We perform a similar classification for most other Lie incidence geometries of spherical Tits-buildings, in particular for all projective and polar Grassmannians, and for exceptional Grassmannians of diameter at
Meulewaeter, Jeroen +1 more
openaire +4 more sources
Finite projective geometries that are incidence structures of caps
Linear Algebra and its Applications, 1982 AbstractA t-cap in a geometry is a set of t points no three of which are collinear. A quadric in a projective geometry PG(n, q) is a set of points x which satisfy xTQx = 0,Q being an n + 1 by n + 1 matrix over GF(q). We show that in any Desarguesian projective geometry PG(2n, q), q odd, there exists a family of (q + 1)-caps which obey the axioms for ...
Barbu C. Kestenband
openaire +4 more sources
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
openaire +3 more sources
Parametric investigation of laser incidence geometry in laser-assisted milling of Inconel 718
Journal of Materials Research and TechnologyWhile laser-assisted milling machining is promising for promoting the machinability of Inconel 718, the geometrical parameters of laser beam relative to milling tool significantly influence its machining performance.
Chenwei Gao +3 more
doaj +2 more sources
<i>SUNBIM 4.0</i> software: new developments in small- and wide-angle X-ray scattering data analysis for scanning mode and grazing-incidence geometry. [PDF]
J Appl CrystallogrScattarella F +5 more
europepmc +3 more sources