Results 21 to 30 of about 101,961 (306)
Minimal homogeneous submanifolds in euclidean spaces [PDF]
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'
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Mathematical Proof and Discovery Reductio ad Absurdum
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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Computing the nearest euclidean distance matrix with low embedding dimensions [PDF]
Euclidean distance embedding appears in many high-profile applications including wireless sensor network localization, where not all pairwise distances among sensors are known or accurate.
Qi, Hou-Duo, Yuan, Xiaoming, Qi, Hou Duo
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The Renaissance Concept of Space: Notes on the Interaction between Arts and Sciences in History [PDF]
“Renaissance concept of space” harbors surely some definite bonuses for anybody embarking on a study of the inventive role that philosophy has had, in its happiest moments of life, for human cognition.
Rein Undusk
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Do mito da Geometria Euclidiana ao ensino das Geometrias Não Euclidianas
Das tentativas frustradas de provar que o quinto postulado de Euclides era um teorema, surgiram as Geometrias Não Euclidianas. Com os quatro primeiros postulados de Euclides e a negação do quinto, surgiram outras Geometrias cujos postulados são possíveis
Mylane dos Santos Barreto +1 more
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Menelaus's theorem for hyperbolic quadrilaterals in the Einstein relativistic velocity model of hyperbolic geometry [PDF]
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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Studying the status of fractal geometry in art and its appearance in artwork [PDF]
Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
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