Relevant bibliographies by topics / Non-Euclidean spaces

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  1. Journal articles

Academic literature on the topic 'Non-Euclidean spaces'

Author: Grafiati
Published: 28 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Non-Euclidean spaces"

1

Lally, Nick, and Luke Bergmann. "Mapping dynamic, non-Euclidean spaces." Abstracts of the ICA 1 (July 15, 2019): 1–2. http://dx.doi.org/10.5194/ica-abs-1-204-2019.

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<p><strong>Abstract.</strong> Space is often described as a dynamic entity in human geographic theory, one that resists being pinned down to static representations. Co-produced in and through relations between various things and phenomena, space in these accounts is variously described as being contingent, processual, plastic, relational, situated, topological, and uneven. In contrast, most cartographic methods and tools are based on static, Euclidean understandings of space that can be reduced to a simple, mathematical description. In this work, I explore how cartography can
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2

Courrieu, Pierre. "Function approximation on non-Euclidean spaces." Neural Networks 18, no. 1 (2005): 91–102. http://dx.doi.org/10.1016/j.neunet.2004.09.003.

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3

Novello, Tiago, Vincius da Silva, and Luiz Velho. "Global illumination of non-Euclidean spaces." Computers & Graphics 93 (December 2020): 61–70. http://dx.doi.org/10.1016/j.cag.2020.09.014.

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4

Urban, Philipp, Mitchell R. Rosen, Roy S. Berns, and Dierk Schleicher. "Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement." Journal of the Optical Society of America A 24, no. 6 (2007): 1516. http://dx.doi.org/10.1364/josaa.24.001516.

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5

BORELL, STEFAN, and FRANK KUTZSCHEBAUCH. "NON-EQUIVALENT EMBEDDINGS INTO COMPLEX EUCLIDEAN SPACES." International Journal of Mathematics 17, no. 09 (2006): 1033–46. http://dx.doi.org/10.1142/s0129167x06003795.

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We study the number of equivalence classes of proper holomorphic embeddings of a Stein space X into ℂn. In this paper we prove that if the automorphism group of X is a Lie group and there exists a proper holomorphic embedding of X into ℂn, 0 < dim X < n, then for any k ≥ 0 there exist uncountably many non-equivalent proper holomorphic embeddings Φ: X × ℂk ↪ ℂn × ℂk. For k = 0 all embeddings will be proved to satisfy the additional property of ℂn\Φ(X) being (n - dim X)-Eisenman hyperbolic. As a corollary we conclude that there are uncountably many non-equivalent proper holomorphic embeddi
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6

Borisov, A. V., and I. S. Mamaev. "Rigid body dynamics in non-Euclidean spaces." Russian Journal of Mathematical Physics 23, no. 4 (2016): 431–54. http://dx.doi.org/10.1134/s1061920816040026.

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7

Capecchi, Danilo, and Giuseppe Ruta. "Beltrami's continuum mechanics in non-Euclidean spaces." PAMM 15, no. 1 (2015): 703–4. http://dx.doi.org/10.1002/pamm.201510341.

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8

Midler, Jean-Claude. "Non-Euclidean Geographic Spaces: Mapping Functional Distances." Geographical Analysis 14, no. 3 (2010): 189–203. http://dx.doi.org/10.1111/j.1538-4632.1982.tb00068.x.

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9

Dörfel, B.-D. "Non-commutative Euclidean structures in compact spaces." Journal of Physics A: Mathematical and General 34, no. 12 (2001): 2583–94. http://dx.doi.org/10.1088/0305-4470/34/12/306.

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10

Schwarz, Binyamin, and Abraham Zaks. "Non-Euclidean motions in projective matrix spaces." Linear Algebra and its Applications 137-138 (August 1990): 351–61. http://dx.doi.org/10.1016/0024-3795(90)90134-x.

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