Results 31 to 40 of about 1,143,945 (288)
DesimalMathematical knowledge and ideas are shaped by cultural context, and context can influence mathematics teaching and learning. Contextualising mathematical problems provides relevance, meaning, and application to mathematical concepts, making them more ...
Tinevimbo Zhou, Ugorji l. Ogbonnaya
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Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]
E3S Web of ConferencesThe article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
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On Angular Measures in Axiomatic Euclidean Planar Geometry
Measurement Science Review, 2022 We address the issue of angular measure, which is a contested issue for the International System of Units (SI). We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional way of measuring a plane ...
Grötschel Martin +3 more
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Autoformalizing Euclidean Geometry
CoRRAutoformalization involves automatically translating informal math into formal theorems and proofs that are machine-verifiable. Euclidean geometry provides an interesting and controllable domain for studying autoformalization. In this paper, we introduce a neuro-symbolic framework for autoformalizing Euclidean geometry, which combines domain knowledge,
Logan Murphy +5 more
openaire +3 more sources
The geometry of visual experience [PDF]
, 2007 In this thesis I examine what the geometry of visual experience is. This is a question which to some has had an a priori answer, and to some its relevance to philosophy has been considered questionable.
Meadows, Phillip
core
Advanced Functional Materials, EarlyView.Here, we develop a high‐throughput algorithm that accelerates the elucidation of phase diagrams of topological spin textures using limited computational resources at high numerical accuracy. Applying this framework to the van der Waals magnet CrSBr, we unveiled a hierarchy of previously unknown topological textures (domain‐wall bimerons, bimeron chains,
Andrew Lyall +4 more
wiley +1 more source
Substantia, 2022 The comprehension of form generally assumes a euclidean three-dimensional perspective. I argue here that non-euclidean geometry has much to offer in understanding structures of atomic crystals, molecular liquid crystals and related mesoporous inorganic
Stephen Hyde
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Did Lobachevsky Have A Model Of His imaginary Geometry ? [PDF]
, 2010 The invention of non-Euclidean geometries is often seen through the optics of Hilbertian formal axiomatic method developed later in the 19th century. However such an anachronistic approach fails to provide a sound reading of Lobachevsky's geometrical ...
Rodin, Andrei
core
Full‐Field Damage Monitoring in Architected Lattices Using In situ Electrical Impedance Tomography
Advanced Functional Materials, EarlyView.In situ electrical impedance tomography (EIT) turns 3D‐printed, CNT‐infused architected lattices into full‐field damage‐imaging systems. Tunable Voronoi‐based geometries act as active sensing architectures, enabling conductivity maps to detect early‐stage damage and localise sequential ligament fracture before catastrophic failure.
Akash Deep +4 more
wiley +1 more source
Advanced Functional Materials, EarlyView.This study explored how innovative “auxetic” scaffolds, which expand when stretched, influence skeletal muscle development. Researchers cultured muscle cells on different scaffold designs and applied repeated stretching over 10 days. They found that scaffold geometry affected muscle cell differentiation and fiber formation.
Maria Kalogeropoulou +5 more
wiley +1 more source