Results 21 to 30 of about 237,242 (260)

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
core   +1 more source

Making Euclidean geometry compulsory: Are we prepared?

Perspectives in Education, 2010
This study investigated the attitude towards, as well as the level of understanding of Euclidean geometry in pre-service mathematics education (PME) students.
Sonja van Putten, Sarah Howie, Gerrit Stols   +2 more
doaj   +3 more sources

Boxing Partula

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
doaj   +1 more source

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, Mackrell, Kate, Stevenson, Ian   +2 more
core   +1 more source

From Euclidean Geometry to Knots and Nets [PDF]

, 2017
This document is the Accepted Manuscript of an article accepted for publication in Synthese. Under embargo until 19 September 2018. The final publication is available at Springer via https://doi.org/10.1007/s11229-017-1558-x.This paper assumes the ...
A Pelc, A Weir, B Buldt, B Krön, B Larvor, B Larvor, B Russell, Brendan Larvor, D Corfield, E Grosholz, F Tanswell, GH Hardy, I Starikova, J Auslander, J Avigad, J Avigad, J Azzouni, J Azzouni, J Azzouni, J Ferreirós, J Mumma, JA Robinson, M Detlefsen, N Goethe, R Hersh, S Feferman, S Mac Lane, S Pollard, S Toffoli De, S Toffoli De, S Toffoli De, S-J Shin, TC Hales, W Thurston, Y Rav, Y Rav, YI Manin   +36 more
core   +2 more sources

Conformal Powers of the Laplacian via Stereographic Projection [PDF]

, 2007
A new derivation is given of Branson's factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson's formula from knowledge of the corresponding
Graham, C. Robin
core   +4 more sources

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, Hanche-Olsen Harald, Holden Helge, Krystek Michael P.   +3 more
doaj   +1 more source

CR geometry and conformal foliations [PDF]

, 2016
We use the CR geometry of the standard hyperquadric in ℂP3 to give a detailed twistor description of conformal foliations in Euclidean 3 ...
Baird, Paul, Eastwood, Michael
core   +1 more source

Studying the status of fractal geometry in art and its appearance in artwork [PDF]

پیکره, 2015
Euclid was one of the first who attempted to explain natural phenomena in terms of mathematical concepts. His efforts were called Euclidean geometry.
Mahtab Mobini, Nooshin Fatholahi
doaj   +1 more source

NeutroGeometry & AntiGeometry are alternatives and generalizations of the Non-Euclidean Geometries [PDF]

Neutrosophic Sets and Systems, 2021
In this paper we extend the NeutroAlgebra & AntiAlgebra to the geometric spaces, by founding the NeutroGeometry & AntiGeometry.
Florentin Smarandache
doaj   +1 more source