Results 31 to 40 of about 2,675 (232)
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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Hypersurfaces in a conformally flat space with curvature collineation
We classify the shape operators of Einstein and pseudo Einstein hypersurfaces in a conformally flat space with a symmetry called curvature collineation. We solve the fundamental problem of finding all possible forms of non-diagonalizable shape operators.
K. L. Duggal, R. Sharma
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Treacher Collins syndrome [PDF]
Treacher Collins syndrome is an autosomal dominant disorder of craniofacial development, the features of which include conductive hearing loss and cleft palate. In the absence of a candidate gene, a positional cloning approach has been used to isolate the mutated gene which maps to chromosome 5q31.3-32.
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The Imperial Citadel of Thang Long is a crucial case in ancient Vietnam's planning and design history. Although historical materials indicate that the orientation of the Imperial Citadel of Thang Long has a dialectical unity relationship with the ...
Theanh Dinh, Xiaogeng Ren
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Fuzzy collineations of 3-dimensional fuzzy projective space from 4-dimensional fuzzy vector space
In this paper, the fuzzy counterparts of the collineations defined in classical projective spaces are defined in a 3-dimensional fuzzy projective space derived from a 4-dimensional fuzzy vector space. The properties of fuzzy projective space $ (\lambda, \
Elif Altintas Kahriman
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Collineation as a mode of motion
Perhaps the most important difference between the old and the new geometry lies in the extended use made during the present century of geometric transformations, f The change which has come about in this direction is due in part to the influence of ...
M. Bôcher
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Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
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Finding the Collineation between Two Projective Reconstructions
The problem of finding the collineation between two 3D projective reconstructions has been proved to be useful for a variety of tasks such as calibration of a stereo rig and 3D affine and/or Euclidean reconstruction.
G. Csurka, D. Demirdjian, R. Horaud
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Let a finite projective plane be called rank m plane if it admits a collineation group G of rank m, let it be called strong rank m plane if moreover GP=G1 for some point-line pair (P,1).
O. Bachmann
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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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