Neste artigo, apresenta-se a evolução das ideias sobre a quarta dimensão espacial, partindo daquelas que surgem da geometria euclidiana clássica e abordando, em seguida, as que resultam do âmbito das ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...

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Abstract: In this paper, we construct binary spatially coupled (SC) low-density parity-check (LDPC) codes based on Euclidean geometry (EG) LDPC codes for storage ...

THE philosopher Kant declared that Euclidean geometry was inherent in the human mind and expressed the truth about space. We now recognize that non-Euclidean geometry is equally valid as an abstract ...

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Abstract This survey highlights some foundational history and some interesting recent discoveries in elementary geometry that deserve to be better known, such as the hierarchies of axiom systems, ...

IN a recent number of NATURE (June 30) there appeared a review of a book by G. Mannoury on the philosophy of mathematics, and the reviewer emphasised a statement of the author to the effect that the ...

This article presents an introduction to a new logical reasoning method for Euclidean geometry basedon the invariance principle of information (data). Due to this ...

Unity 3D Exploration of non-Euclidean geometry through the implementation of non-Euclidean impossible portals and infinite stairs. Includes an immersive experience where users can traverse through ...