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Relevant bibliographies by topics / Dimension of an euclidean space

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Academic literature on the topic 'Dimension of an euclidean space'

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Published: 24 April 2022

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Journal articles on the topic "Dimension of an euclidean space"

1

Rogers. "DIMENSION PRINTS IN EUCLIDEAN SPACE." Real Analysis Exchange 14, no. 1 (1988): 64. http://dx.doi.org/10.2307/44153625.

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Crabb, M. C. "Immersing projective spaces in Euclidean space." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 117, no. 1-2 (1991): 155–70. http://dx.doi.org/10.1017/s0308210500027670.

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SynopsisUsing the KOℝ/2-theoretic obstruction theory developed in [4] and [5], necessary and sufficient conditions are derived for quaternionic projective spaces ℍPk and odd-dimensional complex projective spaces ℂP2k+1, of real dimension m say, to immerse in Euclidean space ℝ2m−1 in the range l ≦ 14. The results refine those obtained by Davis and Mahowald ([10, 11]) and earlier authors.

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Pąk, Karol. "Topological Manifolds." Formalized Mathematics 22, no. 2 (2014): 179–86. http://dx.doi.org/10.2478/forma-2014-0019.

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Summary Let us recall that a topological space M is a topological manifold if M is second-countable Hausdorff and locally Euclidean, i.e. each point has a neighborhood that is homeomorphic to an open ball of E n for some n. However, if we would like to consider a topological manifold with a boundary, we have to extend this definition. Therefore, we introduce here the concept of a locally Euclidean space that covers both cases (with and without a boundary), i.e. where each point has a neighborhood that is homeomorphic to a closed ball of En for some n. Our purpose is to prove, using the Mizar f

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HAMBLY, B. M., and T. KUMAGAI. "ASYMPTOTICS FOR THE SPECTRAL AND WALK DIMENSION AS FRACTALS APPROACH EUCLIDEAN SPACE." Fractals 10, no. 04 (2002): 403–12. http://dx.doi.org/10.1142/s0218348x02001270.

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We discuss the behavior of the dynamic dimension exponents for families of fractals based on the Sierpinski gasket and carpet. As the length scale factor for the family tends to infinity, the lattice approximations to the fractals look more like the tetrahedral or cubic lattice in Euclidean space and the fractal dimension converges to that of the embedding space. However, in the Sierpinski gasket case, the spectral dimension converges to two for all dimensions. In two dimensions, we prove a conjecture made in the physics literature concerning the rate of convergence. On the other hand, for nat

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Hashimoto, Hideya. "Hypersurfaces in 4-dimensional Euclidean space." Czechoslovak Mathematical Journal 40, no. 2 (1990): 315–24. http://dx.doi.org/10.21136/cmj.1990.102383.

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Ushakov, Vitaly. "Developable surfaces in Euclidean space." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 66, no. 3 (1999): 388–402. http://dx.doi.org/10.1017/s1446788700036685.

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AbstractThe classical notion of a two-dimensional develpable surface in Euclidean three-space is extended to the case of arbitrary dimension and codimension. A collection of characteristic properties is presented. The theorems are stated with the minimal possible integer smoothness. The main tool of the investigation is Cartan's moving frame method.

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Alishahi, Kasra, and Mohsen Sharifitabar. "Volume degeneracy of the typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions." Advances in Applied Probability 40, no. 04 (2008): 919–38. http://dx.doi.org/10.1017/s0001867800002901.

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This paper is devoted to the study of some asymptotic behaviors of Poisson-Voronoi tessellation in the Euclidean space as the space dimension tends to ∞. We consider a family of homogeneous Poisson-Voronoi tessellations with constant intensity λ in Euclidean spaces of dimensions n = 1, 2, 3, …. First we use the Blaschke-Petkantschin formula to prove that the variance of the volume of the typical cell tends to 0 exponentially in dimension. It is also shown that the volume of intersection of the typical cell with the co-centered ball of volume u converges in distribution to the constant λ−1(1 −

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Alishahi, Kasra, and Mohsen Sharifitabar. "Volume degeneracy of the typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions." Advances in Applied Probability 40, no. 4 (2008): 919–38. http://dx.doi.org/10.1239/aap/1231340158.

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This paper is devoted to the study of some asymptotic behaviors of Poisson-Voronoi tessellation in the Euclidean space as the space dimension tends to ∞. We consider a family of homogeneous Poisson-Voronoi tessellations with constant intensity λ in Euclidean spaces of dimensions n = 1, 2, 3, …. First we use the Blaschke-Petkantschin formula to prove that the variance of the volume of the typical cell tends to 0 exponentially in dimension. It is also shown that the volume of intersection of the typical cell with the co-centered ball of volume u converges in distribution to the constant λ−1(1 −

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Khalimsky, Efim. "Finite, primitive and euclidean spaces." Journal of Applied Mathematics and Simulation 1, no. 3 (1988): 177–96. http://dx.doi.org/10.1155/s1048953388000140.

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Integer and digital spaces are playing a significant role in digital image processing, computer graphics, computer tomography, robot vision, and many other fields dealing with finitely or countable many objects. It is proven here that every finite T0-space is a quotient space of a subspace of some simplex, i.e. of some subspace of a Euclidean space. Thus finite and digital spaces can be considered as abstract simplicial structures of subspaces of Euclidean spaces. Primitive subspaces of finite, digital, and integer spaces are introduced. They prove to be useful in the investigation of connecte

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GUPTA, RAM SHANKAR. "ON BI-HARMONIC HYPERSURFACES IN EUCLIDEAN SPACE OF ARBITRARY DIMENSION." Glasgow Mathematical Journal 57, no. 3 (2014): 633–42. http://dx.doi.org/10.1017/s0017089514000524.

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AbstractThe following Chen's bi-harmonic conjecture made in 1991 is well-known and stays open: The only bi-harmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we prove that the bi-harmonic conjecture is true for bi-harmonic hypersurfaces with three distinct principal curvatures of a Euclidean space of arbitrary dimension.

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Dissertations / Theses on the topic "Dimension of an euclidean space"

1

Spear, Donald W. "Hausdorff, Packing and Capacity Dimensions." Thesis, University of North Texas, 1989. https://digital.library.unt.edu/ark:/67531/metadc330990/.

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In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euclidean space R^. Also the lower entropy dimension is calculated for some Cantor sets. By incorporating technics of Munroe and of Saint Raymond and Tricot, outer measures are created. A Vitali covering theorem for packings is proved. Methods (by Taylor and Tricot, Kahane and Salem, and Schweiger) for determining the Hausdorff and capacity dimensions of sets using probability measures are discussed and extended. The packing pre-measure and measure are shown to be scaled after an affine transformat

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Barfield, Naren Anthony. "Integrated artworks : theory and practice in relation to printmaking and computers, and the influence of 'non-Euclidean geometry' and the 'fourth dimension' on developments in twentieth-century pictoral space." Thesis, Open University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.299913.

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Meurer, Martin [Verfasser], der Mosel Heiko [Akademischer Betreuer] von, and Alfred [Akademischer Betreuer] Wagner. "Integral Menger Curvature and Rectifiability of n-dimensional Borel sets in Euclidean N-space / Martin Meurer ; Heiko von der Mosel, Alfred Wagner." Aachen : Universitätsbibliothek der RWTH Aachen, 2015. http://d-nb.info/112753159X/34.

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Kolbe, Benedikt Maximilian [Verfasser], Myfanwy [Akademischer Betreuer] Evans, John [Akademischer Betreuer] Sullivan, Myfanwy [Gutachter] Evans, John [Gutachter] Sullivan, and Jean-Marc [Gutachter] Schlenker. "Structures in three-dimensional Euclidean space from hyperbolic tilings / Benedikt Maximilian Kolbe ; Gutachter: Myfanwy Evans, John Sullivan, Jean-Marc Schlenker ; Myfanwy Evans, John Sullivan." Berlin : Technische Universität Berlin, 2020. http://d-nb.info/1217326049/34.

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Portela, Antonio Edilson Cardoso. "Noções de geometria projetiva." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/25586.

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PORTELA, Antonio Edilson Cardoso. Noções de geometria projetiva. 2017. 58 f. Dissertação (Mestrado Profissional em Matemática em Rede Nacional) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.<br>Submitted by Jessyca Silva (jessyca@mat.ufc.br) on 2017-09-06T17:17:00Z No. of bitstreams: 1 2017_dis_aecportela.pdf: 1065928 bytes, checksum: 468c05aa35745f3fd2761f13aa26eff1 (MD5)<br>Rejected by Rocilda Sales (rocilda@ufc.br), reason: Boa tarde, Estou devolvendo a Dissertação de ANTONIO EDILSON CARDOSO PORTELA, para que o mesmo realize algumas correções na formatação do trabal

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Solstad, Trygve. "Neural representations of Euclidean space." Doctoral thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for nevromedisin, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-6060.

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Moderne nevrovitenskap bygger på antagelsen om at kognitive fenomener som bevissthet, hukommelse, og stedsans oppstår fra den samlede aktiviteten av individuelle nerveceller. Hjerneområdene hippocampus og entorhinal cortex (EC) er kritiske for hukommelse og stedsans hos både mennesker og dyr. Hos rotter utgjør ’stedceller’ i hippocampus egne kart for hvert miljø rotta utforsker mens ’gitterceller’ i EC utgjør et koordinatsystem som passer til alle miljøer. Både kart og koordinatsystem finnes i ulike skalaer i den øverste (dorsale) delen av hjerneområdene mens det hittil har vært uklart om dype

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Pak, Anne On-Yi 1977. "Euclidean space codes as space-time block codes." Thesis, Massachusetts Institute of Technology, 2001. http://hdl.handle.net/1721.1/86722.

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Nyagahakwa, Venuste. "Semigroups of Sets Without the Baire Property In Finite Dimensional Euclidean Spaces." Licentiate thesis, Linköpings universitet, Matematik och tillämpad matematik, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-116679.

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A semigroup of sets is a family of sets closed under finite unions. This thesis focuses on the search of semigroups of sets in finite dimensional Euclidean spaces Rn, n ≥ 1, which elements do not possess the Baire property, and on the study of their properties. Recall that the family of sets having the Baire property in the real line R, is a σ-algebra of sets, which includes both meager and open subsets of R. However, there are subsets of R which do not belong to the algebra. For example, each classical Vitali set on R does not have the Baire property. It has been shown by Chatyrko that the fa

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Carnovale, Marc. "Arithmetic Structures in Small Subsets of Euclidean Space." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1555657038785892.

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Mandini, Alessia <1979&gt. "The geometry of the moduli space of polygons in the euclidean space." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2007. http://amsdottorato.unibo.it/424/.

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Books on the topic "Dimension of an euclidean space"

1

Jeremy, Gray. Ideas of space: Euclidean, non-Euclidean, and relativistic. 2nd ed. Clarendon Press, 1989.

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2

Lebesgue integration on Euclidean space. Jones and Bartlett, 2001.

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Frank, Jones. Lebesgue integration on Euclidean space. Jones and Bartlett, 1993.

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Uchiyama, Akihito. Hardy Spaces on the Euclidean Space. Springer Japan, 2001. http://dx.doi.org/10.1007/978-4-431-67905-9.

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Shurman, Jerry. Calculus and Analysis in Euclidean Space. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-49314-5.

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Redfearn, Judy. The Space dimension: European Space Agency. Edited by Bond Peter 1948-, Wilson A. 1956-, and European Space Agency. ESA Publications Division, 2003.

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Bolyai, János. Appendix, the theory of space. North-Holland, 1987.

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Appendix, the theory of space. Akadémiai Kiadó, 1987.

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9

The fourth dimension and non-Euclidean geometry in modern art. MIT Press, 2013.

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10

Davis, Nicholas T. Dimension Lapse. [Create Space Independent Publishing Platform], 2014.

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Book chapters on the topic "Dimension of an euclidean space"

1

Charalambous, Michael G. "The Dimension of Euclidean Spaces." In Dimension Theory. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-22232-1_5.

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Dang, Chuangyin. "The D1-Triangulation in Variable Dimension Algorithms on the Euclidean Space." In Lecture Notes in Economics and Mathematical Systems. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-48775-0_7.

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Kalnins, E. G., W. Miller, and G. S. Pogosyan. "Superintegrability on Two-Dimensional Complex Euclidean Space." In Algebraic Methods in Physics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0119-6_7.

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Kuznetsov, Nikolay, and Volker Reitmann. "Lyapunov Dimension for Dynamical Systems in Euclidean Spaces." In Emergence, Complexity and Computation. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-50987-3_6.

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Itskov, Mikhail. "Curves and Surfaces in Three-Dimensional Euclidean Space." In Tensor Algebra and Tensor Analysis for Engineers. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16342-0_3.

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Itskov, Mikhail. "Curves and Surfaces in Three-Dimensional Euclidean Space." In Tensor Algebra and Tensor Analysis for Engineers. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-93907-8_3.

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Itskov, Mikhail. "Curves and Surfaces in Three-Dimensional Euclidean Space." In Tensor Algebra and Tensor Analysis for Engineers. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30879-6_3.

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Zhelnorovich, Vladimir A. "Spinors in the Four-Dimensional Pseudo-Euclidean Space." In Theory of Spinors and Its Application in Physics and Mechanics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27836-6_3.

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Itskov, Mikhail. "Curves and Surfaces in Three-Dimensional Euclidean Space." In Tensor Algebra and Tensor Analysis for Engineers. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98806-1_3.

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Koenderink, Jan J. "Differential Geometry of Surfaces in Three-Dimensional Euclidean Space." In Computer Vision. Springer US, 2014. http://dx.doi.org/10.1007/978-0-387-31439-6_643.

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Conference papers on the topic "Dimension of an euclidean space"

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Wong, Tze C., and Hyuck M. Kwon. "Finite Dimension Modulation Design with Polarization Diversity in Three-Dimensional Euclidean Space." In 2011 IEEE Vehicular Technology Conference (VTC Fall). IEEE, 2011. http://dx.doi.org/10.1109/vetecf.2011.6093277.

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Ding, Hu, Fan Yang, and Mingyue Wang. "On Metric DBSCAN with Low Doubling Dimension." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/426.

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The density based clustering method Density-Based Spatial Clustering of Applications with Noise (DBSCAN) is a popular method for outlier recognition and has received tremendous attention from many different areas. A major issue of the original DBSCAN is that the time complexity could be as large as quadratic. Most of existing DBSCAN algorithms focus on developing efficient index structures to speed up the procedure in low-dimensional Euclidean space. However, the research of DBSCAN in high-dimensional Euclidean space or general metric spaces is still quite limited, to the best of our knowledge

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Aiger, Dror, Haim Kaplan, and Micha Sharir. "Reporting Neighbors in High-Dimensional Euclidean Space." In Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2013. http://dx.doi.org/10.1137/1.9781611973105.56.

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Das, Gautam, Paul Heffernan, and Giri Narasimhan. "Optimally sparse spanners in 3-dimensional Euclidean space." In the ninth annual symposium. ACM Press, 1993. http://dx.doi.org/10.1145/160985.160998.

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Munteanu, M. I., and A. I. Nistor. "POLYNOMIAL TRANSLATION WEINGARTEN SURFACES IN 3-DIMENSIONAL EUCLIDEAN SPACE." In Proceedings of the VIII International Colloquium. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814261173_0034.

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Luchin, D. V., A. P. Trofimov, V. V. Yudin, M. Yu Spodobaev, and D. V. Filippov. "Co-located radio direction finding in polarization fading conditions with increased Euclidean space dimension of signal vectors." In 2018 Systems of Signal Synchronization, Generating and Processing in Telecommunications (SYNCHROINFO). IEEE, 2018. http://dx.doi.org/10.1109/synchroinfo.2018.8457067.

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GANCHEV, G., and V. MILOUSHEVA. "ON THE THEORY OF TWO-DIMENSIONAL SURFACES IN EUCLIDEAN SPACE." In Proceedings of the 6th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704191_0006.

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Gan, Junhao, and Yufei Tao. "Fast Euclidean OPTICS with Bounded Precision in Low Dimensional Space." In SIGMOD/PODS '18: International Conference on Management of Data. ACM, 2018. http://dx.doi.org/10.1145/3183713.3196922.

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Sahuguede, Alexandre, Soheib Fergani, Euriell Le Corronc, and Marie-Veronique Le Lann. "Mapping Chronicles to a $k$-dimensional Euclidean Space via Random Projections." In 2018 IEEE 14th International Conference on Automation Science and Engineering (CASE). IEEE, 2018. http://dx.doi.org/10.1109/coase.2018.8560562.

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Berkane, Soulaimane, Andrea Bisoffi, and Dimos V. Dimarogonas. "A Hybrid Controller for Obstacle Avoidance in an $n$-dimensional Euclidean Space." In 2019 18th European Control Conference (ECC). IEEE, 2019. http://dx.doi.org/10.23919/ecc.2019.8795713.

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Reports on the topic "Dimension of an euclidean space"

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Low, Robert J. Framing Curves in Euclidean and Minkowski Space. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-27-2012-83-91.

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Aminov, Yurij. News on Immersions of the Lobachevsky Space into Euclidean Space. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-165-170.

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Kilicoglu, Seyda. On the Involutive B-Scrolls in the Euclidean Three-Space. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-205-214.

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Milousheva, Velitchka. One-parameter Systems of Developable Surfaces of Codimension Two in Euclidean Space. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-328-336.

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Ganchev, Georgi. On The Geometric Structure of Hypersurfaces of Conullity Two in Euclidean Space. GIQ, 2012. http://dx.doi.org/10.7546/giq-8-2007-169-183.

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Bank, Randolph E., Panayot S. Vassilevski, and Ludmil T. Zikatanov. Arbitrary Dimension Convection-Diffusion Schemes for Space-Time Discretizations. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1237558.

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Kelly, Laurie S. Defense Launch: A Key Dimension of the Promise of Space. Defense Technical Information Center, 1996. http://dx.doi.org/10.21236/ada441122.

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Harvey, Jan V. Space: The Fourth Military Dimension. The Strategic Defense Initiative and the Implications for Land Warfare in the Twenty-First Century. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada181427.

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