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Line geometries for sequence comparisons
Bulletin of Mathematical Biology, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael S. Waterman, Marcela D. Perlwitz
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Line Geometry, Sphere Geometry, Kinematics
2020A Dupin cyclide is a quartic and cyclic surface. It is the envelope of a one parameter family of spheres. In Lie’s model of sphere geometry, it is represented by a conic. Lie’s line-sphere-mapping maps a conic in Lie’s quadric to a conic on Plucker’s quadric which corresponds to a regulus in the manifold of lines.
Boris Odehnal +2 more
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On point-line geometry and displacement
Mechanism and Machine Theory, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kwun-Lon Ting, Yi Zhang
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An introduction to line geometry with applications
Computer-Aided Design, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Peternell +2 more
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Geological Society, London, Special Publications, 2016
Abstract A branch line is the line of intersection between two hard-linked fault planes, or between two parts of a single fault plane of more complex geometry. Of interest is whether they provide any information about the kinematic development of the fault system to which they belong.
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Abstract A branch line is the line of intersection between two hard-linked fault planes, or between two parts of a single fault plane of more complex geometry. Of interest is whether they provide any information about the kinematic development of the fault system to which they belong.
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The geometry of the projective line
2004What are geometric objects? On the one hand, curves, surfaces, various geometric structures; on the other, tensor fields, differential operators, Lie group actions. The former objects originated in classical geometry while the latter ones are associated with algebra. Both points of view are legitimate, yet often separated.
S. Tabachnikov, V. Ovsienko
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Complex Curves as Lines of Geometries [PDF]
Results in Mathematics, 2016 We investigate Hjelmslev geometries \({\mathcal{H}}\) having a representation in a complex affine space \({\mathbb{C}^n}\) the lines of which are given by entire functions. If \({\mathcal{H}}\) has dimension 2 and the entire functions satisfy some injectivity conditions, then \({\mathcal{H}}\) is a substructure of the complex Laguerre plane.
Josef Mikeš +2 more
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