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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
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Studying the status of fractal geometry in art and its appearance in artwork [PDF]
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
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On The Investigating Cycle Properties In The Galilean Plane G^2
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
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Designing digital technologies and learning activities for different geometries
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
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The Relationship between Lines and Geometric Forms in Creating Metaphysical Understanding Based on Hegel's Ideas [PDF]
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
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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
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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
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Toth e il pensiero trans-euclideo in Aristotele (Toth and trans-euclidean thought in Aristotle)
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
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The geometry of visual experience [PDF]
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
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

