Results 11 to 20 of about 28,389 (247)
Translation planes of even order in which the dimension has only one odd factor
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
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The geometry of GL(2,q) in translation planes of even order q2
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
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Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 [PDF]
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
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Translation planes of dimension two and characteristic two
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
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Matrix spread sets of p-primitive semifield planes
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
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Surface Reconstruction Adopting Laser Plane of Linear Path System Registered by Parallel Constraint
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
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Translation planes of odd order and odd dimension
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
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Cubic Extensions of Flag-Transitive Planes, I. Even Order
The collineation groups of even order translation planes which are cubic extensions of flag-transitive planes are determined.
Yutaka Hiramine +2 more
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A EUCLIDEAN FORMULATION OF INTERIOR ORIENTATION COSTRAINTS IMPOSED BY THE FUNDAMENTAL MATRIX [PDF]
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
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Ethyl N-(2-acetyl-3-oxo-1-phenylbutyl)carbamate
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
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