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Euclidean Distance Geometry and Applications [PDF]
SIAM Review, 2014 Euclidean distance geometry is the study of Euclidean geometry based on the concept of distance. This is useful in several applications where the input data consists of an incomplete set of distances, and the output is a set of points in Euclidean space that realizes the given distances.
Leo Liberti +3 more
core +11 more sources
The geometry of the quantum Euclidean space [PDF]
Journal of Geometry and Physics, 2000 29 pages, latex ...
Gaetano Fiore, J. Madore
core +8 more sources
Geodesic motion in Euclidean Schwarzschild geometry [PDF]
European Physical Journal C: Particles and Fields, 2022 This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second ...
Emmanuele Battista, Giampiero Esposito
doaj +2 more sources
Nature, 1911 MR. FRANKLAND (NATURE, September 7) has raised the old problem of Bertrand's proof of the parallel-axiom by a consideration of infinite areas. This is perhaps the most subtle and the most specious of all the attempted proofs, and this character it owes to the fact that a process of reasoning which is sound for finite magnitudes is extended to a field ...
W. B. FRANKLAND
+9 more sources
Spacetime and Euclidean geometry [PDF]
General Relativity and Gravitation, 2006 11 pages, 9 figures; for a festschrift honoring Michael P.
Dieter R. Brill, Ted Jacobson
openaire +7 more sources
Metric characterizations of spherical, and Euclidean buildings [PDF]
Geom. Topol. 5 (2001) 521-550, 2001 A building is a simplicial complex with a covering by Coxeter complexes (called apartments) satisfying certain combinatorial conditions. A building whose apartments are spherical (respectively Euclidean) Coxeter complexes has a natural piecewise spherical (respectively Euclidean) metric with nice geometric properties.
Alexander Lytchak +9 more
arxiv +3 more sources
The Message of Non-Euclidean Geometry [PDF]
Science, 1904 n ...
George Bruce Halsted
openalex +6 more sources
The Non-Euclidean Geometry Inevitable [PDF]
Monist, 1894 n ...
George Bruce Halsted
openalex +4 more sources