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Journal of Geometry, 1989
Some characterizations of the topological affine spaces are already known [2,5,6]; they are given via the topologies on the sets of points and hyperplanes. According to the definition made by Sorensen in [6], a topological affine space is an affine space whose sets of points and hyperplanes are endowed with non-trivial topologies such that the joining ...
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Some characterizations of the topological affine spaces are already known [2,5,6]; they are given via the topologies on the sets of points and hyperplanes. According to the definition made by Sorensen in [6], a topological affine space is an affine space whose sets of points and hyperplanes are endowed with non-trivial topologies such that the joining ...
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On Classifying Affine Barbilian Spaces
Results in Mathematics, 1987The author considers the representation of an affine Barbilian space by means of the corresponding affine geometry over a unitary free module, i.e. \(A_{FF}(M_ R,B)=(P,L,\phi,\|)\), where \(M_ R\) is a free unitary right R-module over an arbitrary ring R with identity, B is a Barbilian domain; \(P=set\) of points, \(L=set\) of lines, \(\phi =relation\)
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2011
In this chapter we consider affine spaces on which a distance has been defined. Thus we have a model of classical Euclidean Geometry, where, for instance, Pythagoras’ Theorem works well. We give a short method to compute the distance between two varieties of arbitrary dimension.
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In this chapter we consider affine spaces on which a distance has been defined. Thus we have a model of classical Euclidean Geometry, where, for instance, Pythagoras’ Theorem works well. We give a short method to compute the distance between two varieties of arbitrary dimension.
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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Satellite Communications in the New Space Era: A Survey and Future Challenges
IEEE Communications Surveys and Tutorials, 2021Oltjon Kodheli +2 more
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