Results 31 to 40 of about 2,675 (232)

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

International 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
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Hypersurfaces in a conformally flat space with curvature collineation

International Journal of Mathematics and Mathematical Sciences, 1991
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]

Human Molecular Genetics, 1995
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.
openaire   +4 more sources

Collineation measurement: A method for constructing the imperial citadel of Thang Long in harmony with nature

Frontiers of Architectural Research, 2022
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

AIMS Mathematics
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

, 1892
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

Известия Иркутского государственного университета: Серия "Математика", 2020
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

Computer Vision and Image Understanding, 1999
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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On rank 4 projective planes

International Journal of Mathematics and Mathematical Sciences, 1981
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

International 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
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