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Possible Link Between Isospace and the Geometry of Space-Time
Physical Review Letters, 1964A relation between internal degrees of freedom and event space in quantum field theory is suggested. The event space is considered as a Riemann space in accord with general relativity. The dimension, metric, linear connection, and curvature tensor of the internal space are uniquely determined by the Riemann geometry. (L.B.S.)
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The Geometry of Tracing, a Possible Link Between Geometric Drawing and Euclid's Geometry?
2023The reproduction of figures is a common task in elementary school, very present in the curricula and in many textbooks. Under what conditions, especially regarding the use of instruments, does this task allow the conceptualization of geometric objects, in what we call the geometry of tracing?
Perrin-Glorian, Marie-Jeanne +1 more
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Multi-Link MIMO Channel Modeling Using Geometry-Based Approach [PDF]
IEEE Transactions on Antennas and Propagation, 2012 Geometry-based stochastic channel models (GSCMs) are extended to support multi-link simulations by applying the concept of common clusters. This novel approach aims to control the correlation between different links, inter-link correlation, by adjusting ...
Juho Poutanen +2 more
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Journal of Engineering for Industry, 1977 Using the theory of screw triangle geometry, successive screw displacement, and pair geometry constraints, a generalized synthesis procedure is proposed and demonstrated to synthesize for a variety of motion programs all possible six-link, two-loop ...
D Kohli, Kohli D
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Solvation of Proteins: Linking Thermodynamics to Geometry
Physical Review Letters, 2007We calculate the solvation free energy of proteins in the tube model of Banavar and Maritan [Rev. Mod. Phys. 75, 23 (2003)10.1103/RevModPhys.75.23] using morphological thermodynamics which is based on Hadwiger's theorem of integral geometry. Thereby we extend recent results by Snir and Kamien [Science 307, 1067 (2005)10.1126/science.1106243] to hard ...
Hansen-Goos, H. +3 more
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GEOMETRY OF QUANTUM VORTICES AND LINK INVARIANTS
International Journal of Modern Physics B, 1992We report on recent and ongoing research in the context of the geometric approach to quantum vortices and link invariants (via the Marsden-Weinstein theory and Chen’s iterated path integrals).
Penna, Vittorio, Spera, Mauro
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