Results 1 to 10 of about 198,847 (198)
Edumatika, 2021 Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry.
Khathibul Umam Zaid Nugroho +2 more
doaj +2 more sources
Data With Non-Euclidean Geometry and Its Characterization
Journal of Artificial Intelligence and Technology, 2021 Recently, dealing the Non-Euclidean data and its characterization is considered as one of the major issues by researchers. The first problem arises while distinction of among Euclidean and non-Euclidean geometry.
Prem Kumar Singh
exaly +2 more sources
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.
S. Nechaev
semanticscholar +4 more sources
Orientation Maps in V1 and Non-Euclidean Geometry. [PDF]
J Math Neurosci, 2015 In the primary visual cortex, the processing of information uses the distribution of orientations in the visual input: neurons react to some orientations in the stimulus more than to others.
Afgoustidis A.
europepmc +2 more sources
HERBRAND’S THEOREM AND NON-EUCLIDEAN GEOMETRY [PDF]
The Bulletin of Symbolic Logic, 2014 We use Herbrand’s theorem to give a new proof that Euclid’s parallel axiom is not derivable from the other axioms of first-order Euclidean geometry. Previous proofs involve constructing models of non-Euclidean geometry.
M. Beeson, P. Boutry, Julien Narboux
semanticscholar +7 more sources
Fractals, Wealth Distributions, and Non-Euclidean Geometry: Quadrant Lorenz Curves [PDF]
EntropyLorenz curves are a socioeconomic method of coding the statistics of positive-valued random variables. Standing at the confluence of fractals, wealth distributions, and non-Euclidean geometry, this paper presents quadrant Lorenz curves (QLCs): Lorenz ...
Iddo Eliazar
doaj +2 more sources
Nature, 1943 THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract system, and that one particular form (due to Riemann) has more claim than Euclidean geometry to represent the properties of physical space.
M. Gardner
semanticscholar +2 more sources
Mathematical Gazette, 1901 Non-Euclidean geometry began as an inquiry into a possible weakness in Euclid’s Elements and became the source of the ideas that there are geometries of spaces other than the one imagined in elementary geometry and that many mathematical theories, not ...
G. Halsted
semanticscholar +5 more sources
Using smartphone photographs of the Moon to acquaint students with non-Euclidean geometry [PDF]
American Journal of Physics, 2021 Although they are sometimes considered problematic to grasp by students, the concepts behind non-Euclidean geometry can be taught using astronomical images. By using photographs of the Moon taken with a smartphone through a simple telescope, we were able
Hugo Caerols +2 more
semanticscholar +1 more source