Results 41 to 50 of about 1,025,793 (179)
Towards a Quantum Erlangen Program
The classical Erlangen Program sought to classify metric spaces entirely in terms of their symmetries. In physical spacetimes, these symmetries define transformations between classical reference frames, yielding a one-to-one correspondence between frame ...
Matthew J. Lake
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A new material for substrates of optical elements used under ultra‐powerful X‐ray beams is described – the diamond‐silicon carbide composite Skeleton®. The composition and structure of the material, its surface roughness with a technological coating of polycrystalline silicon and its thermophysical characteristics are studied.The paper considers the ...
Alexey E. Pestov +14 more
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This article continues a series of the authors’ previous publications dedicated to Nikolai Nikolaevich Parfentiev, a prominent professor of mathematics at Kazan University.
S. A. Ezhova, Yu. A. Al’pin
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N.I. LOBACHEVSKY AND SCHOOL GEOMETRY COURSE
99-102В статье рассмотрены исторические предпосылки возникновения и концепция Н.И. Лобачевского построения школьного курса геометрии, ее связь с современными взглядами на школьный учебник геометрии.The article considers historical preconditions and the ...
Орлов В.В.
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Time in Space: Velimir Khlebnikov and the “Philosophy of Hyperspace”
This article reconceptualizes Velimir Khlebnikov’s aesthetic temporality not as a lyrical motif but as an epistemic procedure through which poetic language tests the legibility of history.
Michaela Böhmig
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Did Lobachevsky have a model of his Imaginary geometry? [PDF]
Lobachevsky's Imaginary geometry in its original form involved an extension of rather than a radical departure from Euclidean intuition. It wasn't anything like a formal theory in Hilbert's sense and hence didn't require anything like a model.
Rodin, Andrei
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Some reflections on why Lobachevsky geometry was recognized
Sometimes arguments that preceded recognition of non-Euclidean (Lobachevsky) geometry are represented in a simplified `black and white' pattern: `conservators made nonsense of genius'. Although there is something in this point of view, the real situation was more complicated, and up to some time there were decent grounds for not recognizing the ...
Prasolov, V. V., Skopenkov, A. B.
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LOBACHEVSKY GEOMETRY – THE FIRST NON-CLASSICAL SCIENTIFIC THEORY
Обычно появление неклассической науки относят к началу XX в. Прежде всего имеют в виду теорию относительности, квантовую механику, излучение энергии, генетику, что совершенно справедливо. Но автор подчеркивает, что первая неклассическая теория появилась уже в первой половине XIX в. в области математики.
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Nikolai I. Lobachevsky, Pangeometry
Lobachevsky wrote his Pangeometry in 1855, the year before his death. This memoir is a résumé of his work on non-Euclidean geometry and its applications, and it can be considered as his clearest account on the subject.
Athanase Papadopoulos +1 more
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Sistema Geométrico Não-Euclidiano [PDF]
In this paper we approach the historical development of the geometry no-euclidean. It includes the work of the main mathematical that contribute with this new discovery.
Basso, Marli
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