Results 31 to 40 of about 211,113 (260)
After Non-Euclidean Geometry: Intuition, Truth and the Autonomy of Mathematics
Journal for the History of Analytical Philosophy, 2018 The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry.
Janet Folina
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Lazy orbits: an optimization problem on the sphere
, 2017 Non-transitive subgroups of the orthogonal group play an important role in the non-Euclidean geometry. If $G$ is a closed subgroup in the orthogonal group such that the orbit of a single Euclidean unit vector does not cover the (Euclidean) unit sphere ...
Vincze, Csaba
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, 1999 We analyse symmetry breaking in general gauge theories paying particular attention to the underlying geometry of the theory. In this context we find two natural metrics upon the vacuum manifold: a Euclidean metric associated with the scalar sector, and ...
Lepora, Nathan. F.
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Toth e il pensiero trans-euclideo in Aristotele (Toth and trans-euclidean thought in Aristotle)
Science & PhilosophyFor about 2000 years the postulate of parallels, enunciated by Euclid, was a source of doubts (postulate or theorem?) clarified with the birth of non-Euclidean geometry.
Nicola Umberto Animobono
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The Topological Reading of Ambiances in the Built Environment: The New Methodology for the Analysis of the Luminous Ambiance in the Museum Space [PDF]
SHS Web of Conferences, 2019 Daylight is currently at the centre of discourse on architectural space. The definition of architectural space takes essence from Euclidean geometry related to metric dimensions.
Saraoui Selma +3 more
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Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore
Advanced Functional Materials, EarlyView.To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul +8 more
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An Overview of Existing Problems in Teaching the Science ”Fundamentals of Geometry”
International Journal of Social Sciences & Educational StudiesThis paper goes into the challenges faced in the teaching of geometry, emphasizing its foundational principles. It investigates an alternate viewpoint by relating geometric principles to verses from the Holy Quran, implying that geometric conceptions ...
Safarov Tulqin Nazarovich +1 more
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On the non-generic Tzitzeica-Johnson's Configuration
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 Working in the context of Hilbert's axiomatic system, we prove that the Tzitzeica-Johnson configuration has sense in neutral geometry. The elements of a Tzitzeica-Johnson configuration allow us to analyse the Euclidean or the non-Euclidean character of ...
Boskoff Wladimir G. +2 more
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Advanced Functional Materials, EarlyView.Tabular foundation model interrogates the synthetic likelihood of metal−organic frameworks. Abstract Metal–organic frameworks (MOFs) are celebrated for their chemical and structural versatility, and in‑silico screening has significantly accelerated their discovery; yet most hypothetical MOFs (hMOFs) never reach the bench because their synthetic ...
Xiaoyu Wu +3 more
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Exact solutions of (deformed) Jackiw–Teitelboim gravity
European Physical Journal C: Particles and Fields, 2021 It is well known that Jackiw–Teitelboim (JT) gravity posses the simplest theory on 2-dimensional gravity. The model has been fruitfully studied in recent years.
Davood Momeni, Phongpichit Channuie
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