Results 181 to 190 of about 299 (217)
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A general representation for classical detection theory with Euclidean geometry
2010 IEEE 18th Signal Processing and Communications Applications Conference, 2010A general geometric representation for the classical detection theory which is compatible with Euclidean geometry is proposed. The proposed representation is so generic that can be employed to almost all communication problems. The a posteriori probability of a symbol given an observation occurred decreases exponentially with the square of the Eclidean
Muhammet Fatih Bayramoglu +1 more
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A generalized Euclidean algorithm for geometry theorem proving
Annals of Mathematics and Artificial Intelligence, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Uniform Finite Generation of the Isometry Groups of Euclidean and Non-Euclidean Geometry
Canadian Journal of Mathematics, 1971A connected Lie group H is generated by a pair of oneparameter subgroups if every element of H can be written as a finite product of elements chosen alternately from the two one-parameter subgroups. If, moreover, there exists a positive integer n such that every element of H possesses such a representation of length at most n, then H is said to be ...
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Euclidean geometry and the flow of generalized liquids
Discussions of the Faraday Society, 1967This paper is a review of recent research on liquid viscosity, derived from structural studies based on aggregates of spheres in space, and from non-linear continuum mechanics. The use of Voronoi polyhedra and the Delaunay graph to characterize irregular aggregates is briefly described, and the theory due to Bernal of a liquid as an aggregate of ...
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Euclidean Geometry, Generalities
2003In this chapter, all the vector spaces are defined over the field R of real numbers. The spaces under consideration all have finite dimension.
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Leibniz' principle, general relativity, and the observational dominance of euclidean geometry
International Journal of Theoretical Physics, 1975Leibniz' principle and the observational dominance of Euclidean geometry suggest a huge cosmological constant in Einstein's field equations and a correspondingly huge negative “vacuum” density. This theory lends support to renormalization procedures in quantum electrodynamics and to the view that the interactions we “observe” are fluctuations of the ...
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2021
In this work, we aimed to see how changes in the Earth's gravitational field in the context of general relativity modify the radius and age values of the universe in the previously developed distance-determining model. By applying the relationships of light propagating in accelerating systems and gravity to the Earth moving with the Milky Way galaxy in
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In this work, we aimed to see how changes in the Earth's gravitational field in the context of general relativity modify the radius and age values of the universe in the previously developed distance-determining model. By applying the relationships of light propagating in accelerating systems and gravity to the Earth moving with the Milky Way galaxy in
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Generalizing and Transferring Mathematical Definitions from Euclidean to Taxicab Geometry
2018Research shows that by observing properties of figures and making conjectures in non-Euclidean geometries, students can better develop their understanding of concepts in Euclidean geometry. It is also known that definitions in mathematics are an integral part of understanding concepts and are often not used correctly in proof or logic courses by ...
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Non-Euclidean Geometry and Einstein’s General Relativity: Cassirer’s View in 1921
2016This chapter gives a brief account of the debate about the foundations of geometry after general relativity, with a special focus on Cassirer’s view in 1921. Cassirer emphasized that the geometrical hypotheses of general relativity differed completely from those of Newtonian mechanics and of special relativity.
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Discontinuous Normals in Non-Euclidean Geometries and Two-Dimensional Gravity
Symmetry, 2022Emmanuele Battista +2 more
exaly