Academic literature on the topic 'Hyperspace'

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Journal articles on the topic "Hyperspace"

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Dogra, Shovan, Madhumangal Pal, and Qin Xin. "Picture fuzzy sub-hyperspace of a hyper vector space and its application in decision making problem." AIMS Mathematics 7, no. 7 (2022): 13361–82. http://dx.doi.org/10.3934/math.2022738.

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<abstract><p>In this paper, the notion of picture fuzzy sub-hyperspace of a hyper vector space is introduced and some related results are investigated on the basis of some basic operations (intersection, union, Cartesian product etc.) on picture fuzzy sets. The concept of picture fuzzy linear transformation with respect to some picture fuzzy sub-hyperspace is initiated here and some important results are studied in this regard. It is shown that with respect to some pre-assumed picture fuzzy sub-hyperspace, linear combination of two picture fuzzy linear transformations is a picture fuzzy linear transformation, composition of two picture fuzzy linear transformations is a picture fuzzy linear transformation and inverse of a bijective picture fuzzy linear transformation is a picture fuzzy linear transformation. The effect of good linear transformation on picture fuzzy sub-hyperspaces is discussed here. It is shown that the image of a picture fuzzy sub-hyperspace is a picture fuzzy sub-hyperspace under bijective good linear transformation and the inverse image of a picture fuzzy sub-hyperspace is a picture fuzzy sub-hyperspace under good linear transformation. Some important results on picture fuzzy sub-hyperspaces in the light of $ (\theta, \phi, \psi) $-cut of picture fuzzy set are studied here. Finally, an application of picture fuzzy sub-hyperspace conditions in decision making problem is presented here.</p></abstract>
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Curtis, D. W. "Application of a Selection Theorem to Hyperspace Contractibility." Canadian Journal of Mathematics 37, no. 4 (August 1, 1985): 747–59. http://dx.doi.org/10.4153/cjm-1985-040-7.

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For X a metric continuum, 2X denotes the hyper space of all nonempty subcompacta, with the topology induced by the Hausdorff metric H, and C(X) ⊂ 2X the hyperspace of subcontinua. These hyperspaces are continua, in fact are arcwise-connected, since there exist order arcs between each hyperspace element and the element X. They also have trivial shape, i.e., maps of the hyperspaces into ANRs are homotopic to constant maps. For a detailed discussion of these and other general hyperspace properties, we refer the reader to Nadler's monograph [4].The question of hyperspace contractibility was first considered by Wojdyslawski [8], who showed that 2X and C(X) are contractible if X is locally connected. Kelley [2] gave a more general condition (now called property K) which is sufficient, but not necessary, for hyperspace contractibility. The continuum X has property K if for every there exists δ > 0 such that, for every pair of points x, y with d(x, y) < δ and every subcontinuum M containing x, there exists a subcontinuum N containing y with .
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Potharaju, Rahul, Terry Kim, Eunjin Song, Wentao Wu, Lev Novik, Apoorve Dave, Andrew Fogarty, et al. "Hyperspace." Proceedings of the VLDB Endowment 14, no. 12 (July 2021): 3043–55. http://dx.doi.org/10.14778/3476311.3476382.

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Microsoft recently introduced Azure Synapse Analytics, which offers an integrated experience across data ingestion, storage, and querying in Apache Spark and T-SQL over data in the lake, including files and warehouse tables. In this paper, we present our experiences with designing and implementing Hyperspace, the indexing subsystem underlying Synapse. Hyperspace enables users to build multiple types of secondary indexes on their data, maintain them through a multi-user concurrency model, and leverage them automatically---without any change to their application code---for query/workload acceleration. Many requirements of Hyperspace are based on feedback from several enterprise customers. We present the details of Hyperspace's underlying design, the user-facing APIs, its concurrency control protocol for index access, its index-aware query processing techniques, and its maintenance mechanisms for handling index updates. Evaluations over standard industry benchmarks and real customer workloads show that Hyperspace can accelerate query execution by up to 10x and in certain real-world workloads, even up to two orders of magnitude.
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Weighill, Thomas, Takamitsu Yamauchi, and Nicolò Zava. "Coarse infinite-dimensionality of hyperspaces of finite subsets." European Journal of Mathematics 8, no. 1 (December 30, 2021): 335–55. http://dx.doi.org/10.1007/s40879-021-00515-3.

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AbstractWe consider infinite-dimensional properties in coarse geometry for hyperspaces consisting of finite subsets of metric spaces with the Hausdorff metric. We see that several infinite-dimensional properties are preserved by taking the hyperspace of subsets with at most n points. On the other hand, we prove that, if a metric space contains a sequence of long intervals coarsely, then its hyperspace of finite subsets is not coarsely embeddable into any uniformly convex Banach space. As a corollary, the hyperspace of finite subsets of the real line is not coarsely embeddable into any uniformly convex Banach space. It is also shown that every (not necessarily bounded geometry) metric space with straight finite decomposition complexity has metric sparsification property.
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Sharma, Puneet. "Induced dynamics on the hyperspaces." Applied General Topology 17, no. 2 (October 3, 2016): 93. http://dx.doi.org/10.4995/agt.2016.4154.

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<p> </p><p>In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot be transitive and hence cannot exhibit higher degrees of mixing. We also prove that the dynamics induced on the hyperspace by such a collection cannot have dense set of periodic points. We also give example to show that the induced dynamics in this case may or may not be sensitive.</p>
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Morales, José Ángel Juárez, Gerardo Reyna Hernández, Jesús Romero Valencia, and Omar Rosario Cayetano. "Free Cells in Hyperspaces of Graphs." Mathematics 9, no. 14 (July 10, 2021): 1627. http://dx.doi.org/10.3390/math9141627.

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Often for understanding a structure, other closely related structures with the former are associated. An example of this is the study of hyperspaces. In this paper, we give necessary and sufficient conditions for the existence of finitely-dimensional maximal free cells in the hyperspace C(G) of a dendrite G; then, we give necessary and sufficient conditions so that the aforementioned result can be applied when G is a dendroid. Furthermore, we prove that the arc is the unique arcwise connected, compact, and metric space X for which the anchored hyperspace Cp(X) is an arc for some p∈X.
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Spann, Girardeau A., and John Agresto. "Hyperspace." Michigan Law Review 84, no. 4/5 (February 1986): 628. http://dx.doi.org/10.2307/1288835.

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Rogel-Salazar, J. "Hyperspace." Contemporary Physics 60, no. 1 (January 2, 2019): 77–78. http://dx.doi.org/10.1080/00107514.2019.1577917.

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Casas-de la Rosa, Javier. "Variations of star selection principles on hyperspaces." Mathematica Slovaca 74, no. 1 (February 1, 2024): 171–84. http://dx.doi.org/10.1515/ms-2024-0013.

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Abstract In this paper, we define some combinatorial principles to characterize spaces X whose hyperspace satisfies some variation of some classical star selection principle. Specifically, the variations characterized are the selective and absolute versions of the star selection principles for the Menger and Rothberger cases; also, the hyperspaces considered in these characterizations are CL(X), 𝕂(X), 𝔽(X) and ℂ𝕊(X) in both cases, endowed with either the Fell topology or the Vietoris topology.
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Qi, Pengcheng. "Mapping and animating Star Wars Millennium Falcon hyperspace jumping base on Blender." Applied and Computational Engineering 76, no. 1 (July 16, 2024): 189–99. http://dx.doi.org/10.54254/2755-2721/76/20240587.

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Science fiction movies are fictional, which means that most of the elements portrayed are not real but rather imaginative. For most space operas, writers often devise creative solutions to overcome the limitations imposed by the speed of light, such as the concept of hyperspace in "Star Wars" to bypass speed restrictions. This study aimed to celebrate the 47th Force Day in 2024 by using the non-commercial software Blender to recreate the iconic Disney version of hyperspace jumping visual effects. The research effort included reproducing both the hyperspace flyby scene and the scene of a spaceship jumping out of hyperspace, showcasing stunning visual effects achieved through Blender's rendering and special effects capabilities. In the context of the Disney version of hyperspace jumping featuring a swirling blue tunnel, the research team meticulously modeled and rendered the spaceship's traversal through hyperspace within Blender. Additionally, the paper employed special effects techniques to recreate the spectacular moment of the spaceship emerging from hyperspace, capturing the visual allure of Disney's interpretation of hyperspace jumping. The results demonstrate the feasibility of this endeavor, albeit with potential technical flaws.
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Dissertations / Theses on the topic "Hyperspace"

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Freeman, Jeannette Broad. "Hyperspace Topologies." Thesis, University of North Texas, 2001. https://digital.library.unt.edu/ark:/67531/metadc2902/.

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In this paper we study properties of metric spaces. We consider the collection of all nonempty closed subsets, Cl(X), of a metric space (X,d) and topologies on C.(X) induced by d. In particular, we investigate the Hausdorff topology and the Wijsman topology. Necessary and sufficient conditions are given for when a particular pseudo-metric is a metric in the Wijsman topology. The metric properties of the two topologies are compared and contrasted to show which also hold in the respective topologies. We then look at the metric space R-n, and build two residual sets. One residual set is the collection of uncountable, closed subsets of R-n and the other residual set is the collection of closed subsets of R-n having n-dimensional Lebesgue measure zero. We conclude with the intersection of these two sets being a residual set representing the collection of uncountable, closed subsets of R-n having n-dimensional Lebesgue measure zero.
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Smith, Pauline. "Navigating hyperspace : assessing usability." Thesis, University of Nottingham, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240543.

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Simmons, Charlotte. "Hyperspaces of Continua." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504208/.

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Several properties of Hausdorff continua are considered in this paper. However, the major emphasis is on developing the properties of the hyperspaces 2x and C(X) of a Hausdorff continuum X. Preliminary definitions and notation are introduced in Chapter I. Chapters II and III deal with the topological structure of the hyperspaces and the concept of topological convergence. Properties of 2x and C(X) are investigated in Chapter IV, while Chapters V and VI are devoted to the Hausdorff continuum X. Chapter VII consists of theorems pertaining to Whitney maps and order arcs in 2x. Examples of C(X) are provided in Chapter VIII. Inverse sequences of Hausdorff continua and of their hyperspaces are considered in Chapter IX.
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Peng, Na. "Fractal Gauges for Hyperspace: One Limit Point." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1278387275.

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Theng, Yin Leng. "Addressing the "lost in hyperspace" problem in hypertext." Thesis, Middlesex University, 1997. http://eprints.mdx.ac.uk/7899/.

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End-users tend to lose their way in the maze of information within hypertext. Much work done to address the "lost in hyperspace" problem is reactive, that is, doing remedial work to correct the deficiencies within hypertexts because they are (or were) poorly designed and built. What if solutions are sought to avoid the problem? What if we do things well from the start? This thesis reviews the "lost in hyperspace" problem, and suggests a framework to understand the design and usability issues. These issues cannot be seen as purely psychological or purely computing, they are multi-disciplinary. The proactive, multi-disciplinary approach undertaken in this thesis is drawn from current technologies in sub-disciplines of hypertext, human-computer interaction, cognitive psychology and software engineering, and they include investigations into: " good design principles and guidelines for the building of hypertexts in the first place; " task analysis and user modelling techniques for end-users' tasks to be carefully defined; " effective hypertext structures to ensure usability of hypertexts; and " designer tools to create hypertexts with a reduced tendency for the "lost in hyperspace" problem to arise. To demonstrate these ideas, this thesis presents HyperAT, a hypertext research authoring tool, developed to help designers build usable web documents on the World Wide Web. The World Wide Web is chosen as a hypertext example since it is the most widely used and largest hypertext system ever. The approach taken in HyperAT is novel: multi-disciplinary approaches are integrated and implemented with a practical authoring tool. Evaluation of HyperAT indicates that it does address the "lost in hyperspace" problem, particularly for the World Wide Web by: (i) helping designers manage the complexity of the design and validation processes; and (ii) helping hypertext end-users navigate hypertexts produced by HyperAT without getting "lost".
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Chan, Shu-Shun Herbert. "Hyperspace : parallel versions of multidimensionality in literature and science." Thesis, University of Essex, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.298837.

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Varagona, Scott Smith Michel. "Inverse limit spaces." Auburn, Ala, 2008. http://hdl.handle.net/10415/1486.

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Honeycutt, David Carl. "Relativity via a Bergmannian Chronometric in a squared-dimensional hyperspace." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/27984.

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McParland, Joseph Edward. "Multi-selectible continua." Morgantown, W. Va. : [West Virginia University Libraries], 1998. http://etd.wvu.edu/templates/showETD.cfm?recnum=144.

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Espinoza, Benjamin. "Whitney preserving maps." Morgantown, W. Va. : [West Virginia University Libraries], 2002. http://etd.wvu.edu/templates/showETD.cfm?recnum=2451.

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Thesis (Ph. D.)--West Virginia University, 2002.
Title from document title page. Document formatted into pages; contains vii, 60 p. : ill. Includes abstract. Includes bibliographical references (p. 59-60).
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Books on the topic "Hyperspace"

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Asimov, Janet. The package in hyperspace. New York: Walker, 1988.

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Leslie, Christopher. From Hyperspace to Hypertext. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3.

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Illanes, Alejandro. Hyperspaces: Fundamentals and recent advances. New York: M. Dekker, 1999.

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1852-1918, Graf J. H., ed. Theorie der vielfachen Kontinuität. Zürich: Zürcher & Furrer, 1991.

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Kendall, Maurice G. The course in the geometry of n dimensions. Mineola, N.Y: Dover Publications, 2004.

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Swerdlow, Stewart. The healer's handbook: A journey into hyperspace. New York: Sky Books, 1999.

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Rushkoff, Douglas. Cyberia: Life in the trenches of hyperspace. [San Francisco, Calif.]: HarperSan Francisco, 1994.

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Rushkoff, Douglas. Cyberia: Life in the trenches of hyperspace. 2nd ed. Manchester: Clinamen, 2002.

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Feltz, Michael R. Cosmo 101: The four-dimensional universe. White Plains, NY: Cosmos Pub., 1993.

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Windham, Ryder. Star Wars: Fire Ring Race: Adventures in Hyperspace. New York: Scholastic, 2010.

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Book chapters on the topic "Hyperspace"

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Grosholz, Emily Rolfe. "Music and Hyperspace." In Mathematics, Culture, and the Arts, 19–36. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98231-1_2.

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Macías, Sergio. "n-Fold Hyperspace Suspensions." In Topics on Continua, 327–69. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-90902-8_7.

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Leslie, Christopher. "The End of Science Fiction." In From Hyperspace to Hypertext, 407–60. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_8.

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Leslie, Christopher. "Archeology of the Future." In From Hyperspace to Hypertext, 175–235. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_4.

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Leslie, Christopher. "Have We Not Had Enough of War?" In From Hyperspace to Hypertext, 109–71. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_3.

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Leslie, Christopher. "Planet Smashers of the Second Industrial Revolution." In From Hyperspace to Hypertext, 51–108. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_2.

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Leslie, Christopher. "The Challenges of Inclusion." In From Hyperspace to Hypertext, 291–337. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_6.

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Leslie, Christopher. "Confronting Cold War Masculinity." In From Hyperspace to Hypertext, 341–406. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_7.

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Leslie, Christopher. "The Editor with One Hundred Hands." In From Hyperspace to Hypertext, 237–89. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_5.

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Leslie, Christopher. "Science Fiction and the University." In From Hyperspace to Hypertext, 461–503. Singapore: Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-2027-3_9.

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Conference papers on the topic "Hyperspace"

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PREUSS, GERHARD. "A HYPERSPACE COMPLETION FOR SEMIUNIFORM CONVERGENCE SPACES AND RELATED HYPERSPACE STRUCTURES." In Proceedings of the North-West European Category Seminar. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702418_0018.

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Morley, Sarah, Helen Petrie, Anne-Marie O'Neill, and Peter McNally. "Auditory navigation in hyperspace." In the third international ACM conference. New York, New York, USA: ACM Press, 1998. http://dx.doi.org/10.1145/274497.274516.

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Kepner, Jeremy, Timothy Davis, Vijay Gadepally, Hayden Jananthan, and Lauren Milechin. "Mathematics of Digital Hyperspace." In 2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW). IEEE, 2021. http://dx.doi.org/10.1109/ipdpsw52791.2021.00048.

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Fontana, Giorgio, Paul Murad, and Robert M. L. Baker. "Hyperspace for Space Travel." In SPACE TECHNOLOGY AND APPLICATIONS INTERNATIONAL FORUM-STAIF 2007: 11th Conf Thermophys.Applic.in Micrograv.; 24th Symp Space Nucl.Pwr.Propulsion; 5th Conf Hum/Robotic Techn & Vision Space Explor.; 5th Symp Space Coloniz.; 4th Symp New Frontrs & Future Con. AIP, 2007. http://dx.doi.org/10.1063/1.2437557.

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Azzopardi, Leif, Mark Girolami, and Malcolm Crowe. "Probabilistic hyperspace analogue to language." In the 28th annual international ACM SIGIR conference. New York, New York, USA: ACM Press, 2005. http://dx.doi.org/10.1145/1076034.1076135.

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Young, M. Todd, Jacob Hinkle, Arvind Ramanathan, and Ramakrishnan Kannan. "HyperSpace: Distributed Bayesian Hyperparameter Optimization." In 2018 30th International Symposium on Computer Architecture and High Performance Computing (SBAC-PAD). IEEE, 2018. http://dx.doi.org/10.1109/cahpc.2018.8645954.

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Fontana, Giorgio, and Mohamed S. El-Genk. "Gravitational Waves in the Hyperspace." In 008. AIP, 2008. http://dx.doi.org/10.1063/1.2844943.

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Agrawal, Gautam, K. Lewis, and Christina Bloebaum. "Intuitive Visualization of Hyperspace Pareto Frontier." In 44th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2006. http://dx.doi.org/10.2514/6.2006-726.

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Pandey, Varun, Andreas Kipf, Dimitri Vorona, Tobias Mühlbauer, Thomas Neumann, and Alfons Kemper. "High-Performance Geospatial Analytics in HyPerSpace." In SIGMOD/PODS'16: International Conference on Management of Data. New York, NY, USA: ACM, 2016. http://dx.doi.org/10.1145/2882903.2899412.

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Uren, Victoria, Simon Buckingham Shum, Gangmin Li, John Domingue, and Enrico Motta. "Scholarly publishing and argument in hyperspace." In the twelfth international conference. New York, New York, USA: ACM Press, 2003. http://dx.doi.org/10.1145/775152.775187.

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