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Line geometries for sequence comparisons

Bulletin of Mathematical Biology, 1984
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Waterman, Michael S.   +1 more
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Point-Line Geometries

2010
Point-line geometries are just rank two geometries, and so inherit the concepts of morphism and cover from the last chapter. The symmetry between the two types is broken by the concept of a subspace, which treats points differently from lines. A new graph, the point-collinearity graph, is useful in describing geometric properties.
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Fuzzy plane geometry I: Points and lines

Fuzzy Sets and Systems, 1997
This paper initiates the study of fuzzy geometry by first studying two basic ideas, fuzzy points and fuzzy lines, in fuzzy plane geometry. The authors consider the fuzzy distance between fuzzy points and show that it is a weak fuzzy metric. They study various definitions of a fuzzy line, develop their basic properties, and investigate parallel fuzzy ...
Buckley, J. J., Eslami, E.
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The Geometry of Decoupled Line Driven Winds

Astrophysics and Space Science, 1995
Bjorkman & Cassinelli (1993) have proposed a mechanism that is expected to produce strong equatorial focusing of the radiation-driven winds from rapidly-rotating B stars. Here the possibility of the decoupling of the stellar radiation field and the outflow is considered.
John M. Porter, Janet E. Drew
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Fuzzy geometry: Perpendicular to fuzzy line segment

Information Sciences, 2018
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Chakraborty, Debjani, Das, Suman
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An introduction to line geometry with applications

Computer-Aided Design, 1999
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Pottmann, Helmut   +2 more
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The geometry of branch lines

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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Voltage refinement by deficit HOLZ line geometry

Journal of Electron Microscopy, 2004
A method of refining electron beam voltage from deficit line intersections, using a quasi-kinematic scattering approximation, is described and applied to a silicon standard. It is shown that dynamical corrections are necessary for higher-index zone axes, such as 310 and 411, where a single deficit line associated with one dominant Bloch state is ...
Chris J, Rossouw, Christian J, Maunders
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Geometry with Imprecise Lines

2008
Practical application of geometric algorithms is hindered by data imprecision. One of the primitive elements in geometry is the concept of a line. We investigate what is the right way to model imprecise lines, and present algorithms to compute bounds on the solution to linear programming or vertical extent problems on a set of imprecise lines.
Löffler, Maarten, Kreveld, Marc van
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