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Beyond site-specific archaeological prospection: Spectral geometry reveals cross-site cropmark signals in satellite data. [PDF]
Gravanis E, Agapiou A.
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Neural Facial Mesh Registration using Geometry Images and Teichmüller Refinement. [PDF]
Liu Y +6 more
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In Vitro Analysis of the Effect of Intraoral Scan Body Design on the Accuracy of Complete Arch Implant Scanning. [PDF]
Sanclemente-Reina F +7 more
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Hierarchical YOLO26 with Axis-Wise Context Block and Poincaré Supervision for Fine-Grained Ship Detection in Remote Sensing. [PDF]
İzala Y, Becerikli Y.
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Foundations of geometry—Euclidean and non-Euclidean geometry
1975Euclidean geometry is the oldest and historically most important example of a deductive scientific discipline. Down to modern times it has been a model of an exact science and it became the starting point for a systematic development of the foundations of geometry.
W. Gellert +4 more
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1994
Abstract It will be noted that the ratio of the (essentially positive) Euclidean distances only gives the absolute value of the invariant (δac/δab). It is this fact which gives rise to some tiresome technical difficulties in classical Euclidean geometry, which relies principally on the notion of distance.
Peter M Neumann +2 more
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Abstract It will be noted that the ratio of the (essentially positive) Euclidean distances only gives the absolute value of the invariant (δac/δab). It is this fact which gives rise to some tiresome technical difficulties in classical Euclidean geometry, which relies principally on the notion of distance.
Peter M Neumann +2 more
+4 more sources
Euclidean and Non-Euclidean Geometries
2014Ancient mathematics was motivated by very practical reasoning. What we now call land management and commerce were the overriding considerations, and calculational questions grew out of those transactions. As a result, many of the ideas considered involved meshing rectangles and triangles, their areas, and their relative proportions.
Steven G. Krantz, Harold R. Parks
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