Log in

Relevant bibliographies by topics / Hyperspace / Journal articles

To see the other types of publications on this topic, follow the link: Hyperspace.

Journal articles on the topic 'Hyperspace'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Hyperspace.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

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.

Full text

Abstract:

<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>

APA, Harvard, Vancouver, ISO, and other styles

2

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.

Full text

Abstract:

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 .

APA, Harvard, Vancouver, ISO, and other styles

3

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

4

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

5

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.

Full text

Abstract:

<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>

APA, Harvard, Vancouver, ISO, and other styles

6

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

7

Spann, Girardeau A., and John Agresto. "Hyperspace." Michigan Law Review 84, no. 4/5 (February 1986): 628. http://dx.doi.org/10.2307/1288835.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

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

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

10

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

11

Kočinac, Ljubiša D. R., Luong Quoc Tuyen, and Ong Van Tuyen. "Some Results on Pixley–Roy Hyperspaces." Journal of Mathematics 2022 (March 7, 2022): 1–8. http://dx.doi.org/10.1155/2022/5878044.

Full text

Abstract:

In this paper, we prove that if a space X has a point-countable c n -network, then the Pixley-Roy hyperspace P R X also has a point-countable c n -network. If X is a regular space with a point-countable c k -network, then so does the Pixley-Roy hyperspace P R X . Moreover, if X has a point-countable s p -network (resp., strict Pytkeev network), then the Pixley–Roy hyperspace P R 2 X also has a point-countable s p -network (resp., strict Pytkeev network). On the other hand, we show that if the Pixley–Roy hyperspace P R X has a countable c n -network (resp., s p -network and strict Pytkeev network), then so does X . By these results, we obtain that if the Pixley–Roy hyperspace P R X is a cosmic space (resp., P 0 -space, strict P 0 -space, and stric P 0 -space), then so is X . Furthermore, the Pixley-Roy hyperspace P R n S 2 is not a k -space for each n ≥ 2 .

APA, Harvard, Vancouver, ISO, and other styles

12

Beall, Abigail. "Jump to hyperspace." New Scientist 251, no. 3354 (October 2021): 51. http://dx.doi.org/10.1016/s0262-4079(21)01756-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

BERAN, ZDENĚK, and SERGEJ ČELIKOVSKÝ. "CHAOS ON HYPERSPACE." International Journal of Bifurcation and Chaos 23, no. 05 (May 2013): 1350084. http://dx.doi.org/10.1142/s0218127413500843.

Full text

Abstract:

In this paper, the chaotic behavior of a set-valued mapping F : X → 2X, where X is a compact space, is investigated. The existence of the generalized shadowing property in the hyperspace 2X is proved. Based on the generalized shadowing property of the set-valued mappings F and the assumption of the existence of an unstable chain recurrent point of the mapping F, it is shown that the Bernoulli system of bi-directional shifts is embedded in the sense of semiconjugacy into the image of mapping F, i.e. Smale's chaos in the set-valued system F is thereby proved.

APA, Harvard, Vancouver, ISO, and other styles

14

Singmaster, Deborah. "Home in hyperspace." Nature 315, no. 6019 (June 1985): 520. http://dx.doi.org/10.1038/315520a0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Finkelstein, David. "Hyperspin and Hyperspace." Physical Review Letters 56, no. 15 (April 14, 1986): 1532–33. http://dx.doi.org/10.1103/physrevlett.56.1532.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Kapitanski, Lev, and Sanja Živanović Gonzalez. "Attractors in hyperspace." Topological Methods in Nonlinear Analysis 44, no. 1 (April 12, 2016): 199. http://dx.doi.org/10.12775/tmna.2014.043.

Full text

APA, Harvard, Vancouver, ISO, and other styles

17

Taylor, Willie. "Spinning in hyperspace." Nature 353, no. 6343 (October 1991): 388–89. http://dx.doi.org/10.1038/353388a0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Shepard, Sherri, and Andrew Simoson. "Scouts in hyperspace." Computers & Graphics 13, no. 2 (January 1989): 253–60. http://dx.doi.org/10.1016/0097-8493(89)90068-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Rivlin, Ehud, Rodrigo Botafogo, and Ben Shneiderman. "Navigating in hyperspace." Communications of the ACM 37, no. 2 (February 1994): 87–96. http://dx.doi.org/10.1145/175235.175242.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Ingram, W. T., and D. D. Sherling. "Two Continua Having A Property of J. L. Kelley." Canadian Mathematical Bulletin 34, no. 3 (September 1, 1991): 351–56. http://dx.doi.org/10.4153/cmb-1991-056-1.

Full text

Abstract:

AbstractIn proving the contractibility of certain hyperspaces J. L. Kelley identified and defined a certain uniformnessproperty which he called Property 3.2. It is known that the classes of locally connected continua, homogeneous continua and hereditarily indecomposable continua have Property 3.2. In this paper we prove that two examples of indecomposable continua developed respectively by the authors have Property 3.2. One is the example of a nonchainable atriodic tree-like continuum with positive span which was defined by the first author, and the other is a nonchainable, noncircle-like continuum which has the cone=hyperspace property which was defined by the second author. Each of the examples is an inverse limit of an inverse system having a single bonding map.

APA, Harvard, Vancouver, ISO, and other styles

21

Holá, L'Ubica, Jan Pelant, and László Zsilinszky. "Developable hyperspaces are metrizable." Applied General Topology 4, no. 2 (October 1, 2003): 351. http://dx.doi.org/10.4995/agt.2003.2038.

Full text

Abstract:

<p>Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a G<sub>δ</sub>-diagonal in the hyperspace setting is also discussed.</p>

APA, Harvard, Vancouver, ISO, and other styles

22

Wu, Hsien-Chung. "Informal Norm in Hyperspace and Its Topological Structure." Mathematics 7, no. 10 (October 11, 2019): 945. http://dx.doi.org/10.3390/math7100945.

Full text

Abstract:

The hyperspace consists of all subsets of a vector space. Owing to a lack of additive inverse elements, the hyperspace cannot form a vector space. In this paper, we shall consider a so-called informal norm to the hyperspace in which the axioms regarding the informal norm are almost the same as the axioms of the conventional norm. Under this consideration, we shall propose two different concepts of open balls. Based on the open balls, we shall also propose the different types of open sets. In this case, the topologies generated by these different concepts of open sets are investigated.

APA, Harvard, Vancouver, ISO, and other styles

23

Shakir, Qays R. "On setwise betweenness." Applied General Topology 24, no. 1 (April 5, 2023): 115–23. http://dx.doi.org/10.4995/agt.2023.18061.

Full text

Abstract:

In this article, we investigate the notion of setwise betweenness, a concept introduced by P. Bankston as a generalisation of pointwise betweenness. In the context of continua, we say that a subset C of a continuum X is between distinct points a and b of X if every subcontinuum K of X containing both a and b intersects C. The notion of an interval [a,b] then arises naturally. Further interesting questions are derived from considering such intervals within an associated hyperspace on X. We explore these ideas within the context of the Vietoris topology and n-symmetric product hyperspaces on all nonempty closed subsets of a topological space X, CL(X). Moreover, an alternative pointwise interval, derived from setwise intervals, is introduced.

APA, Harvard, Vancouver, ISO, and other styles

24

Goldman, Yale E. "No hype in hyperspace." Biophysical Journal 120, no. 8 (April 2021): 1306–8. http://dx.doi.org/10.1016/j.bpj.2021.02.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Ryabov, Valeriy. "Inhomogeneous deformation in hyperspace." International Journal of Geometric Methods in Modern Physics 17, no. 12 (September 22, 2020): 2050142. http://dx.doi.org/10.1142/s021988782050142x.

Full text

Abstract:

Geometrical approach to continuum mechanics allowing an atomistic treatment is developed. It suggests a body as a surface immersed into ambient space. Four kinds of surfaces inherent to basic deformations determine classical dynamics of the atoms alongside their spatial coordinates. For uniaxial stretch, this surface is isomorphic to the cylinder. For a simple shear, it is the twisted cylinder, for a bending — a cone, and for a torsion — a helicoid. Scalar parameters of the metric of these surfaces that are stretch ratios, shear, cone, and torsion angles used instead of the strain tensor constitute extra coordinates of the particles in hypersurface. Correspondingly, vector-valued tensions are used instead of stress. In the case of pure deformation, the normal and extra coordinates of atoms obey the classical equation of motion admitting periodic boundary conditions. It is shown how the employing of artificial orders of freedom leads to a minimum of elastic energy. In boundary problems, the system of governing equations unambiguously reproduce the stress–strain–displacement relations with the help of using the tension boundary theorem instead of the Cauchy traction principle. The derived direct method of elastostatic makes the system of governing equations closed and the compatibility condition unnecessary. Commonest examples of bending problem normally following from the Airy stress function illustrate the new concept.

APA, Harvard, Vancouver, ISO, and other styles

26

Kupis, Marta. "Eastern Cultures Enter Hyperspace." Intercultural Relations 3, no. 2(6) (February 16, 2020): 157–74. http://dx.doi.org/10.12797/rm.02.2019.06.09.

Full text

Abstract:

The article discusses inspirations from Far Eastern cultures present in George Lucas’ Star Wars saga. This cinematic story is treated as a postmodernist text, in which references to earlier cultural works appear. More attention is given to the sequel trilogy, not explored in academic circles as much as the two earlier trilogies. These inspirations are analysed through the lens of Edward Said’s concept of orientalism, with additional focus on the specific ways in which it was employed in the United States of America. In the conclusion, some reflections are devoted to audience reactions to the newest trilogy and the Eastern elements present therein.

APA, Harvard, Vancouver, ISO, and other styles

27

Costantini, C., S. Levi, and J. Pelant. "Infima of hyperspace topologies." Mathematika 42, no. 1 (June 1995): 67–86. http://dx.doi.org/10.1112/s0025579300011360.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Jones, Gareth. "New Adventures in Hyperspace." Reviews in Religion & Theology 4, no. 2 (May 1997): 3–5. http://dx.doi.org/10.1111/j.1467-9418.1997.tb00075.x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Gbadamosi, Raimi. "Black face in hyperspace." Journal of the African Literature Association 11, no. 1 (January 2, 2017): 50–57. http://dx.doi.org/10.1080/21674736.2017.1335950.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Ma, Xianfeng, Bingzhe Hou, and Gongfu Liao. "Chaos in hyperspace system." Chaos, Solitons & Fractals 40, no. 2 (April 2009): 653–60. http://dx.doi.org/10.1016/j.chaos.2007.08.009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Morsi, Nehad N. "Hyperspace fuzzy binary relations." Fuzzy Sets and Systems 67, no. 2 (October 1994): 221–37. http://dx.doi.org/10.1016/0165-0114(94)90090-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Nerlich, G. "The Metaphysics of Hyperspace." Philosophical Review 117, no. 3 (July 1, 2008): 462–64. http://dx.doi.org/10.1215/00318108-2008-009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Simms, John C. "Covering Hyperspace with Hypercurves." Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 37, no. 25 (1991): 393–400. http://dx.doi.org/10.1002/malq.19910372503.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Steurer, Walter. "Quasicrystals: Sections of Hyperspace." Angewandte Chemie International Edition 50, no. 46 (October 13, 2011): 10775–78. http://dx.doi.org/10.1002/anie.201107163.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Gutev, Valentin. "Hyperspace selections avoiding points." Commentationes Mathematicae Universitatis Carolinae 63, no. 3 (February 13, 2023): 351–64. http://dx.doi.org/10.14712/1213-7243.2022.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Jardón, Daniel, Iván Sánchez, and Manuel Sanchis. "Transitivity in Fuzzy Hyperspaces." Mathematics 8, no. 11 (October 24, 2020): 1862. http://dx.doi.org/10.3390/math8111862.

Full text

Abstract:

Given a metric space (X,d), we deal with a classical problem in the theory of hyperspaces: how some important dynamical properties (namely, weakly mixing, transitivity and point-transitivity) between a discrete dynamical system f:(X,d)→(X,d) and its natural extension to the hyperspace are related. In this context, we consider the Zadeh’s extension f^ of f to F(X), the family of all normal fuzzy sets on X, i.e., the hyperspace F(X) of all upper semicontinuous fuzzy sets on X with compact supports and non-empty levels and we endow F(X) with different metrics: the supremum metric d∞, the Skorokhod metric d0, the sendograph metric dS and the endograph metric dE. Among other things, the following results are presented: (1) If (X,d) is a metric space, then the following conditions are equivalent: (a) (X,f) is weakly mixing, (b) ((F(X),d∞),f^) is transitive, (c) ((F(X),d0),f^) is transitive and (d) ((F(X),dS)),f^) is transitive, (2) if f:(X,d)→(X,d) is a continuous function, then the following hold: (a) if ((F(X),dS),f^) is transitive, then ((F(X),dE),f^) is transitive, (b) if ((F(X),dS),f^) is transitive, then (X,f) is transitive; and (3) if (X,d) be a complete metric space, then the following conditions are equivalent: (a) (X×X,f×f) is point-transitive and (b) ((F(X),d0) is point-transitive.

APA, Harvard, Vancouver, ISO, and other styles

37

CORDA, CHRISTIAN, GIORGIO FONTANA, and GLORIA GARCIA CUADRADO. "GRAVITATIONAL WAVES IN THE HYPERSPACE?" Modern Physics Letters A 24, no. 08 (March 14, 2009): 575–82. http://dx.doi.org/10.1142/s0217732309030370.

Full text

Abstract:

In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the hyperspace formalism that has been recently introduced in some papers in the literature, with the goal of a better understanding of manifolds dimensionality also in a cosmological framework, is discussed. Using the concept of refractive index in the hyperspace, spherical solutions are given and the propagation of GWs in a region of the hyperspace with a unitary refractive index is also discussed. Propagation phenomena associated to the higher dimensionality are proposed, possibly including nonlinear effects. Further and accurate studies in this direction are needed.

APA, Harvard, Vancouver, ISO, and other styles

38

Zaitov, Adilbek Atakhanovich, and Khamidjon Kurbanov. "When is the space of semi-additive functionals an absolute (neighbourhood) retract?" Proceedings of the International Geometry Center 15, no. 2 (September 10, 2022): 86–99. http://dx.doi.org/10.15673/tmgc.v15i2.2020.

Full text

Abstract:

In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space. As a consequence it is established that the space OSf(X) of semi-additive functionals is absolute (neighbourhood) retract if and only if the hyperspace exp(X) is so.

APA, Harvard, Vancouver, ISO, and other styles

39

Bordbar, Hashem, Sanja Jančič-Rašovič, and Irina Cristea. "Regular local hyperrings and hyperdomains." AIMS Mathematics 7, no. 12 (2022): 20767–80. http://dx.doi.org/10.3934/math.20221138.

Full text

Abstract:

<abstract><p>This paper falls in the area of hypercompositional algebra. In particular it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings. These are Krasner hyperrings $ R $ with a unique maximal hyperideal $ M $ having the dimension equal to the dimension of the vectorial hyperspace $ \frac{M}{M^2} $. The aim of the paper is to show that any regular local hyperring is a hyperdomain. For proving this, we make use of the relationship existing between the dimension of the vectorial hyperspaces related to the hyperring $ R $ and to the quotient hyperring $ \overline{R} = \frac{R}{\langle a\rangle} $, where $ a $ is an element in $ M\setminus M^2 $, and of the regularity of $ \overline{R} $.</p></abstract>

APA, Harvard, Vancouver, ISO, and other styles

40

Cruz-Castillo, Ricardo, Alejandro Ramírez-Páramo, and Jesús Tenorio. "Characterizations of weakly star-type Rothberger and Menger properties in hyperspaces." Filomat 37, no. 24 (2023): 8237–45. http://dx.doi.org/10.2298/fil2324237c.

Full text

Abstract:

In this paper, we introduce the selection principles wSS* 1(??(?),C?(?)), wSS* fin(??(?),C?(?)), wS* 1(??(?),C?(?)) and wS* fin(??(?),C?(?)) to characterize the properties of weakly strong-star Rothberger (Menger) and weakly star-Rothberger (Menger) in the hyperspace (?, ?+ ?), respectively. Furthermore, we introduce the notions H(C?(?)) and Ifin(C?(?),C?(?)) to characterize, respectively, the H-separability and the principle Ufin(D,D), in the same hyperspace.

APA, Harvard, Vancouver, ISO, and other styles

41

Gilson, James G. "Classical fluid aspects of nonlinear Schrödinger equations and solitons." Journal of Applied Mathematics and Simulation 1, no. 2 (January 1, 1987): 99–114. http://dx.doi.org/10.1155/s1048953388000085.

Full text

Abstract:

The author extends his alternative theory for Schrödinger quantum mechanics by introducing the idea of energy reference strata over configuration space. It is then shown that the view from various such strata defines, the content of the system of interest and enables a variety of different descriptions of events in the same space time region. Thus according to the point of view or energy stratum chosen so the type of Schrödinger equation, linear or otherwise, appropriate to describe the system is determined. A nonlinear information channel between two dimensional fluid action in hyperspace into two dimensional energy hyperspace is shown to exist generally as a background to nonlinear Schrödinger structures. In addition it is shown how soliton solutions of the one dimensional Schrödinger equation are related to two dimensional vortex fields in hyperspace.

APA, Harvard, Vancouver, ISO, and other styles

42

GINGL, ZOLTAN, LASZLO B. KISH, and SUNIL P. KHATRI. "TOWARDS BRAIN-INSPIRED COMPUTING." Fluctuation and Noise Letters 09, no. 04 (December 2010): 403–12. http://dx.doi.org/10.1142/s0219477510000332.

Full text

Abstract:

We present introductory considerations and analysis toward computing applications based on the recently introduced deterministic logic scheme with random spike (pulse) trains [Phys. Lett. A373 (2009) 2338–2342]. Also, in considering the questions, "why random?" and "why pulses?", we show that the random pulse based scheme provides the advantages of realizing multivalued deterministic logic. Pulse trains are realized by an element called orthogonator. We discuss two different types of orthogonators, parallel (intersection-based) and serial (demultiplexer-based) orthogonators. The last one can be slower but it makes sequential logic design straightforward. We propose generating a multidimensional logic hyperspace [Phys. Lett. A373 (2009) 1928–1934] by using the zero-crossing events of uncorrelated Gaussian electrical noises available in the chips. The spike trains in the hyperspace are non-overlapping, and are referred to as neuro-bits. To demonstrate this idea, we generate three-dimensional hyperspace bases using the zero-crossing events of two uncorrelated Gaussian noise sources. In such a scenario, the detection of different hyperspace basis elements may have vastly differing delays. We show that it is possible to provide an identical speed for the detection of all the hyperspace bases elements using correlated noise sources, and demonstrate this for the two neuro-bits situation. The key impact of this paper is to demonstrate that a logic design approach using such neuro-bits can yield a fast, low power and environmental variation tolerant means of designing computer circuitry. It also enables the realization of multivalued logic, and also significantly increasing the complexity of computer circuits by allowing several neuro-bits to be transmitted on a single wire.

APA, Harvard, Vancouver, ISO, and other styles

43

Macías, Sergio, and Sam B. Nadler. "Absolute n-fold hyperspace suspensions." Colloquium Mathematicum 105, no. 2 (2006): 221–31. http://dx.doi.org/10.4064/cm105-2-5.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Bogzaran, Fariba. "Lucid Art and hyperspace lucidity." Dreaming 13, no. 1 (2003): 29–42. http://dx.doi.org/10.1023/a:1022186217703.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Di Maio, G., Lj D. R. Kočinac, and E. Meccariello. "Selection principles and hyperspace topologies." Topology and its Applications 153, no. 5-6 (December 2005): 912–23. http://dx.doi.org/10.1016/j.topol.2005.01.020.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Künzi, H. P. A., S. Romaguera, and M. A. Sánchez-Granero. "T0 *-compactification in the hyperspace." Topology and its Applications 159, no. 7 (April 2012): 1815–19. http://dx.doi.org/10.1016/j.topol.2011.06.064.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Camargo, Javier, and Sergio Macías. "Embedding suspensions into hyperspace suspensions." Topology and its Applications 160, no. 10 (June 2013): 1115–22. http://dx.doi.org/10.1016/j.topol.2013.05.005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Vroegrijk, Tom. "Bornological modifications of hyperspace topologies." Topology and its Applications 161 (January 2014): 330–42. http://dx.doi.org/10.1016/j.topol.2013.10.035.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

García-Ferreira, S., and Y. F. Ortiz-Castillo. "The hyperspace of convergent sequences." Topology and its Applications 196 (December 2015): 795–804. http://dx.doi.org/10.1016/j.topol.2015.05.022.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Banks, John. "Chaos for induced hyperspace maps." Chaos, Solitons & Fractals 25, no. 3 (August 2005): 681–85. http://dx.doi.org/10.1016/j.chaos.2004.11.089.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!