Results 11 to 20 of about 213,055 (273)
Non-Euclidean geometry in nature [PDF]
, 2017 I describe the manifestation of the non-Euclidean geometry in the behavior of collective observables of some complex physical systems. Specifically, I consider the formation of equilibrium shapes of plants and statistics of sparse random graphs.
Nechaev, Sergei
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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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Partialy Paradoxist Smarandache Geometries [PDF]
, 1996 A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors oflines that would seem to require a discrete space.
Iseri, Howard
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Nature, 1911 As many mathematicians give very little thought to the theory of sets, it is perhaps worth while dwelling for moment on Dr. Sommerville's possibly misleading remarks in NATURE of October 5. He, quite correctly, points out the one-one correspondence between the aggregates of integral numbers 1, 2, 3, &c. (n), and even numbers 2, 4, 6, &c. (2n). Thus the
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Designing digital technologies and learning activities for different geometries [PDF]
, 2009 This chapter focuses on digital technologies and geometry education, a combination of topics that provides a suitable avenue for analysing closely the issues and challenges involved in designing and utilizing digital technologies for learning mathematics.
Jones, Keith +2 more
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The Renaissance Concept of Space: Notes on the Interaction between Arts and Sciences in History [PDF]
Acta Baltica Historiae et Philosophiae Scientiarum, 2015 “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
Vértices, 2010 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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Intrinsic Inference on the Mean Geodesic of Planar Shapes and Tree Discrimination by Leaf Growth [PDF]
, 2010 For planar landmark based shapes, taking into account the non-Euclidean geometry of the shape space, a statistical test for a common mean first geodesic principal component (GPC) is devised.
Huckemann, Stephan
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