Results 21 to 30 of about 12,845,141 (320)
Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry [PDF]
Eighteen Essays in Non-Euclidean Geometry, 2017 This is a survey article on the infinitesimal rigidity of frameworks in Euclidean, hyperbolic, and spherical geometry. We discuss the equivalence of the static and kinematic formulations of the infinitesimal rigidity, the projective interpretation of ...
Ivan Izmestiev
semanticscholar +1 more source
MoebInv: C++ libraries for manipulations in non-Euclidean geometry
SoftwareX, 2020 The introduced package MoebInv contains two C++ libraries for symbolic, numeric and graphical manipulations in non-Euclidean geometry. The first library cycle implements basic geometric operations on cycles, which are the zero sets of certain polynomials
Vladimir V. Kisil
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
, 2010 Hyperbolic Geometry appeared in the first half of the 19th century as an attempt to understand Euclid's axiomatic basis of Geometry.
Barbu, Catalin
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose' +1 more
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The fourth dimension: from its spatial nature in Euclidean geometry to a time-like component of non-Euclidean manifolds [PDF]
Revista Brasileira de Ensino de FísicaIn this article, the evolution of the ideas about the fourth spatial dimension is presented, starting from those which come out within classical Euclidean geometry and going through those arose in the framework of non-Euclidean geometries, like those of ...
José Maria Filardo Bassalo +2 more
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Non-Euclidean Biosymmetries and Algebraic Harmony in Genomes of Higher and Lower Organisms [PDF]
EPJ Web of Conferences, 2021 The article is devoted to the study of the relationship of non-Euclidean symmetries in inherited biostructures with algebraic features of information nucleotide sequences in DNA molecules in the genomes of eukaryotes and prokaryotes.
Petoukhov Sergey +2 more
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Object tracking via non-Euclidean geometry: A Grassmann approach [PDF]
IEEE Winter Conference on Applications of Computer Vision, 2014 A robust visual tracking system requires an object appearance model that is able to handle occlusion, pose, and illumination variations in the video stream. This can be difficult to accomplish when the model is trained using only a single image.
S. Shirazi +3 more
semanticscholar +1 more source
Mathematical Proof and Discovery Reductio ad Absurdum
Informal Logic, 2008 The uses and interpretation of reductio ad absurdum argumentation in mathematical proof and discovery are examined, illustrated with elementary and progressively sophisticated examples, and explained.
Dale Jacquette
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