Results 41 to 50 of about 12,845,141 (320)

Non-Euclidean Geometry [PDF]

open access: yesNature, 1911
As many mathematicians give very little thought to the theory of sets, it is perhaps worth while dwelling for moment on Dr. Sommerville's possibly misleading remarks in NATURE of October 5. He, quite correctly, points out the one-one correspondence between the aggregates of integral numbers 1, 2, 3, &c. (n), and even numbers 2, 4, 6, &c. (2n). Thus the
  +6 more sources

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

open access: yesپیکره, 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

On The Investigating Cycle Properties In The Galilean Plane G^2

open access: yesEurasian Journal of Science and Engineering, 2023
The introduction of the Galilean plane within the affine plane parallels the familiar concepts of the Euclidean plane, extending the realm of geometric exploration.
Abdullah Kurudirek
doaj   +1 more source

Designing digital technologies and learning activities for different geometries

open access: yes, 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.
Ian Stevenson   +5 more
core   +1 more source

The Relationship between Lines and Geometric Forms in Creating Metaphysical Understanding Based on Hegel's Ideas [PDF]

open access: yesJournal of Philosophical Investigations
The natural or artificial environment consists of a series of lines, forms and volumes that create a feeling and mentality in humans that is felt with the five senses and sometimes leads to a specific metaphysical understanding of the environment; for ...
Ahmad Heidari
doaj   +1 more source

Uptunneling to de Sitter

open access: yesJournal of High Energy Physics, 2020
We propose a Euclidean preparation of an asymptotically AdS2 spacetime that contains an inflating dS2 bubble. The setup can be embedded in a four dimensional theory with a Minkowski vacuum and a false vacuum.
Mehrdad Mirbabayi
doaj   +1 more source

Application vs. non-application contexts in Euclidean geometry tasks in grades 10–12 South African mathematics textbooks

open access: yesDesimal
Mathematical 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
doaj   +1 more source

Toth e il pensiero trans-euclideo in Aristotele (Toth and trans-euclidean thought in Aristotle)

open access: yesScience & Philosophy
For 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
doaj   +1 more source

The geometry of visual experience [PDF]

open access: yes, 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  

Accelerated Discovery of Topological Spin Phase Diagrams in CrSBr Magnets Via High‐Throughput Optimization

open access: yesAdvanced 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

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