Results 11 to 20 of about 28,389 (247)

Translation planes of even order in which the dimension has only one odd factor

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d=2sr where r is an odd prime. A prime factor of |G| must divide (qd+1)∏i=1d(qi−1).
T. G. Ostrom
doaj   +1 more source

The geometry of GL(2,q) in translation planes of even order q2

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1978
In this article we show the following: Let π be a translation plane of even order q2 that admits GL(2,q) as a collineation group. Then π is either Desarguesian, Hall or Ott-Schaeffer.
N. L. Johnson
doaj   +1 more source

Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 [PDF]

open access: yesArab Journal of Mathematical Sciences, 2023
Purpose – In the Lorentz Heisenberg space H3 endowed with flat metric g3, a translation surface is parametrized by r(x, y) = γ1(x)*γ2(y), where γ1 and γ2 are two planar curves lying in planes, which are not orthogonal.
Rafik Medjati   +2 more
doaj   +1 more source

Translation planes of dimension two and characteristic two

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
This article discusses translation planes of dimension two and characteristic two. Let G be a subgroup of the linear translation complement of such a plane π. The nature of G and its possible action on π are investigated.
N. L. Johnson, T. G. Ostrom
doaj   +1 more source

Matrix spread sets of p-primitive semifield planes

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this article we present the matrix spread sets of the p-primitive planes of order p4 where p=3,5,7,11.
M. Cordero
doaj   +1 more source

Surface Reconstruction Adopting Laser Plane of Linear Path System Registered by Parallel Constraint

open access: yesIEEE Access, 2018
A surface reconstruction technology, which is contributed from the parallel constraint between two laser planes, is introduced and achieved by a laser projector guided by a linear path system.
Guan Xu   +3 more
doaj   +1 more source

Translation planes of odd order and odd dimension

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
The author considers one of the main problems in finite translation planes to be the identification of the abstract groups which can act as collineation groups and how those groups can act.
T. G. Ostrom
doaj   +1 more source

Cubic Extensions of Flag-Transitive Planes, I. Even Order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined.
Yutaka Hiramine   +2 more
doaj   +1 more source

A EUCLIDEAN FORMULATION OF INTERIOR ORIENTATION COSTRAINTS IMPOSED BY THE FUNDAMENTAL MATRIX [PDF]

open access: yesISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2016
Epipolar geometry of a stereopair can be expressed either in 3D, as the relative orientation (i.e. translation and rotation) of two bundles of optical rays in case of calibrated cameras or, in case of unclalibrated cameras, in 2D as the position of the ...
I. Kalisperakis, G. Karras, E. Petsa
doaj   +1 more source

Ethyl N-(2-acetyl-3-oxo-1-phenylbutyl)carbamate

open access: yesActa Crystallographica Section E, 2013
In the title compound, C15H19NO4, all three carbonyl groups are syn-oriented with respect to the methine group attached to the phenyl ring. The mean planes of the phenyl ring and ethyl carbamate moiety form a dihedral angle of 65.2 (1)°.
Alexander N. Volov, Ilia A. Zamilatskov
doaj   +1 more source

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