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Journal articles on the topic 'Structure space'

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1

TAKATSU, ASUKA, and TAKUMI YOKOTA. "CONE STRUCTURE OF L2-WASSERSTEIN SPACES." Journal of Topology and Analysis 04, no. 02 (2012): 237–53. http://dx.doi.org/10.1142/s1793525312500112.

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The aim of this paper is to obtain a better understanding of the geometric structure of quadratic Wasserstein spaces over separable Hilbert spaces. For this sake, we focus on their cone and product structures, and prove that the quadratic Wasserstein space over any separable Hilbert space has a cone structure and splits the underlying space isometrically but no more than that. These are shown in more general settings, and one of our main results is that the quadratic Wasserstein space over a Polish space has a cone structure if and only if so does the underlying space.
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2

WOODBURY, ROBERT F., and ANDREW L. BURROW. "Whither design space?" Artificial Intelligence for Engineering Design, Analysis and Manufacturing 20, no. 2 (2006): 63–82. http://dx.doi.org/10.1017/s0890060406060057.

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Design space exploration is a long-standing focus in computational design research. Its three main threads are accounts of designer action, development of strategies for amplification of designer action in exploration, and discovery of computational structures to support exploration. Chief among such structures is the design space, which is the network structure of related designs that are visited in an exploration process. There is relatively little research on design spaces to date. This paper sketches a partial account of the structure of both design spaces and research to develop them. It
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Félix, Yves, and Daniel Tanre. "H–space structure on pointed mapping spaces." Algebraic & Geometric Topology 5, no. 2 (2005): 713–24. http://dx.doi.org/10.2140/agt.2005.5.713.

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4

Maciejewski, M., S. Colombi, V. Springel, C. Alard, and F. R. Bouchet. "Phase-space structures - II. Hierarchical Structure Finder." Monthly Notices of the Royal Astronomical Society 396, no. 3 (2009): 1329–48. http://dx.doi.org/10.1111/j.1365-2966.2009.14825.x.

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5

Wren, Rachael. "Structure and space." Cardiovascular Diagnosis and Therapy 9, no. 3 (2019): 299–300. http://dx.doi.org/10.21037/cdt.2018.12.03.

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Smolenskaya, Elena. "ARCHITECTURAL SPACE STRUCTURE." Innovative Project 1, no. 3 (2016): 38–41. http://dx.doi.org/10.17673/ip.2016.1.03.7.

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7

Seidel, Michael, and Polina Petrova. "Kinematic Space Structure." Stahlbau 81, no. 8 (2012): 665–70. http://dx.doi.org/10.1002/stab.201201603.

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8

Helbig, Thorsten, Boris Peter, Thomas Müller, and Matthias Oppe. "Structure as Space." Stahlbau 87, no. 10 (2018): 945–53. http://dx.doi.org/10.1002/stab.201800015.

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9

Ramsay, Arlan. "Local product structure for group actions." Ergodic Theory and Dynamical Systems 11, no. 1 (1991): 209–17. http://dx.doi.org/10.1017/s0143385700006088.

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AbstractA differentiable G-space is introduced, for a Lie group G, into which every countably separated Borel G-space can be imbedded. The imbedding can be a continuous map if the space is a separable metric space. Such a G-space is called a universal G-space. This universal G-space has a local product structure for the action of G. That structure is inherited by invariant subspaces, giving a local product structure on general G-spaces. This information is used to prove that G-spaces are stratified by the subsets consisting of points whose orbits have the same dimension, to prove that G-spaces
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Watanabe, Toshio. "Geometrical Structures of Photographic and Stereoscopic Spaces." Spanish Journal of Psychology 9, no. 2 (2006): 263–72. http://dx.doi.org/10.1017/s1138741600006168.

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Two experiments were conducted to investigate the geometrical structures of photographic and stereoscopic spaces. In Experiment 1, it was investigated how accurately photographic space reproduces real physical space, and the geometrical structure of photographic space was compared with that of visual space. As a result, the mapping function of distance between photographic and physical spaces (δ = adb) shows that a and b range from 0.96–1.1 and 0.69–0.78. The mapping function of angle between photographic and physical spaces (Φ = gϕh) shows that g and h range from 2.37–5.29 and 0.74–0.97. Furt
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Lin, Christopher. "Torsion-free G2-structures with identical Riemannian metric." Journal of Topology and Analysis 10, no. 04 (2018): 915–32. http://dx.doi.org/10.1142/s1793525318500310.

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Based on a general formula due to Bryant, we work out the topological structure of the space of torsion-free [Formula: see text]-structures generating the same associated Riemannian metric on a compact [Formula: see text]-manifold. We also identify a corresponding Lie group-theoretic structure of the space. These observations are then used to describe the moduli space of torsion-free [Formula: see text]-structures in certain cases — by way of covering spaces.
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Bunce, Leslie J., and Richard M. Timoney. "On the operator space structure of Hilbert spaces." Bulletin of the London Mathematical Society 43, no. 6 (2011): 1205–18. http://dx.doi.org/10.1112/blms/bdr054.

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13

He, Li, and Guangfu Cao. "Banach space structure of weighted Fock-Sobolev spaces." Frontiers of Mathematics in China 11, no. 3 (2016): 693–703. http://dx.doi.org/10.1007/s11464-015-0516-0.

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14

Kadari, Ramalingaiah, and B. Surender Reddy. "Cubic Structure on Soft Gamma-m-Normed Linear Space." Indian Journal Of Science And Technology 17, no. 28 (2024): 2933–44. http://dx.doi.org/10.17485/ijst/v17i28.1713.

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Objectives: The purpose of this research is to take the lead in comprehending the fuzzy idea of cubic structure on soft Gamma-m normed linear space. According to the theory of Soft m-Normed Linear Space (SMNLS), we offer the conviction of Cauchy's sequence and convergence in cubic Soft Gamma-m Normed Linear Space (CSGMNLS). We have obtained certain results like the concept of completeness in CSGMNLS. Methods: In this paper we defined the soft gamma ring, soft gamma ideals and soft gamma vector space which are used to introduce the notion of soft gamma-2-normed linear space, Soft Gamma-m-Normed
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15

Shareef, Sardar S., and Hozan L. Rauf. "The Influence of Building Structure on Human Perception in Interior Spaces." Journal of Studies in Science and Engineering 1, no. 1 (2021): 1–10. http://dx.doi.org/10.53898/josse2021111.

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Structures create interior spaces. However, the sense of every space depends on the type of structure used. This paper tries to evaluate structural systems apply in architecture and then analyse space identity given by different structures. The method of this study mainly depends on a survey in the current literature and case study which the colour building in the department of architecture in EMU-North Cyprus has taken as the case study. Frame concrete (column and beam) is used in the building, which has made the interiors compacted in the structure's boundary. At the same time, inside spaces
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Mu, Bo, Chang Liu, Guohang Tian, et al. "Conceptual Planning of Urban–Rural Green Space from a Multidimensional Perspective: A Case Study of Zhengzhou, China." Sustainability 12, no. 7 (2020): 2863. http://dx.doi.org/10.3390/su12072863.

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The structure and function of green-space system is an eternal subject of landscape architecture, especially due to limited land and a need for the coordinated development of PLEs (production, living, and ecological spaces). To make planning more scientific, this paper explored green-space structure planning via multidimensional perspectives and methods using a case study of Zhengzhou. The paper applies theories (from landscape architecture and landscape ecology) and technologies (like remote sensing, GIS—geographic information system, graph theory, and aerography) from different disciplines t
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Evdokimov, V. A. "THE STRUCTURE OF PUBLIC SPACE." Memoirs of NovSU, no. 1 (2024): 11–19. http://dx.doi.org/10.34680/2411-7951.2024.1(52).11-19.

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The article examines the structure of public space. Public space is characterized from the point of view of scale and from the point of view of the spheres of communicative ties. Interactions in terms of scale take place in the public space of the world, continental, national, regional, local, in terms of the spheres of reflection of communicative relations - in the urban, extraurban, Internet environment. Public space is considered to be a vast system, not limited to the urban environment, which includes in terms of spheres of expression such segments as political, cultural, economic, ethnic
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LIU, Rongqiang, Hongwei GUO, Xu yan HOU, and Zongquan DENG. "Dynamic equivalent continuum modeling of beamlike space lattice structure." Abstracts of the international conference on advanced mechatronics : toward evolutionary fusion of IT and mechatronics : ICAM 2010.5 (2010): 486–91. http://dx.doi.org/10.1299/jsmeicam.2010.5.486.

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19

Bejenaru, Andreea, and Mihai Postolache. "On a new nonlinear convex structure." AIMS Mathematics 9, no. 1 (2023): 2063–83. http://dx.doi.org/10.3934/math.2024103.

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<abstract><p>In this work we start from near vector spaces, which we endow with some additional properties that allow convex analysis. The seminormed structure used here will also be improved by adding properties such as the null condition and null equality, thus resulting in a new type of space, which is still weaker than the conventional Banach structures: pre-convex regular near-Banach space. On the newly defined structure, we introduce the concept of uniform convexity and analyze several resulting properties. The major outcomes prove a remarkable resemblance to the classical pr
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20

Agrawal, Pramod Kumar. "Structure of Space Fabric." Natural Science 13, no. 12 (2021): 477–90. http://dx.doi.org/10.4236/ns.2021.1312041.

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21

Makowski, Z. S. "Book Review: Space Structure." International Journal of Space Structures 9, no. 1 (1994): 47–48. http://dx.doi.org/10.1177/026635119400900106.

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22

Kwan, A. S. K., and S. Pellegrino. "Prestressing a space structure." AIAA Journal 31, no. 10 (1993): 1961–63. http://dx.doi.org/10.2514/3.11876.

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23

Robilotta, M. R. "Pion: space-like structure." Journal of Physics G: Nuclear and Particle Physics 37, no. 7 (2010): 075014. http://dx.doi.org/10.1088/0954-3899/37/7/075014.

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24

Bristow, Gillian. "Structure, Strategy and Space." European Urban and Regional Studies 7, no. 1 (2000): 19–33. http://dx.doi.org/10.1177/096977640000700102.

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25

Kondratiev, Yuri G., José L. da Silva, Ludwig Streit, and Georgi F. Us. "Analysis on Poisson and Gamma Spaces." Infinite Dimensional Analysis, Quantum Probability and Related Topics 01, no. 01 (1998): 91–117. http://dx.doi.org/10.1142/s0219025798000089.

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We study the spaces of Poisson, compound Poisson and Gamma noises as special cases of a general approach to non-Gaussian white noise calculus, see Ref. 18. We use a known unitary isomorphism between Poisson and compound Poisson spaces in order to transport analytic structures from Poisson space to compound Poisson space. Finally we study a Fock type structure of chaos decomposition on Gamma space.
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26

KUMAR, PRADIP. "ALMOST COMPLEX STRUCTURE ON PATH SPACE." International Journal of Geometric Methods in Modern Physics 10, no. 03 (2013): 1220034. http://dx.doi.org/10.1142/s0219887812200344.

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Let M be a complex manifold and let PM ≔ C∞([0, 1], M) be space of smooth paths over M. We prove that the induced almost complex structure on PM is weak integrable by extending the result of Indranil Biswas and Saikat Chatterjee of [Geometric structures on path spaces, Int. J. Geom. Meth. Mod. Phys.8(7) (2011) 1553–1569]. Further we prove that if M is smooth manifold with corner and N is any complex manifold then induced almost complex structure 𝔍 on Fréchet manifold C∞(M, N) is weak integrable.
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27

Ibragimov, M. M. "Geometric properties of the facial structure of unit balls of a facially symmetric spaces and its duals." UZBEK MATHEMATICAL JOURNAL 68, no. 4 (2025): 63–72. https://doi.org/10.29229/uzmj.2024-4-7.

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This paper discusses the geometric properties of the unit ball of a normed space, under which a facially symmetric space becomes a base norm space. Additionally, the geometric properties of linear isometries between the facially symmetric spaces are investigated, as well as the properties of generalized Peirce projections defined in these spaces.
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28

CIRELLI, RENZO, ALESSANDRO MANIÀ, and LIVIO PIZZOCCHERO. "QUANTUM PHASE SPACE FORMULATION OF SCHRÖDINGER MECHANICS." International Journal of Modern Physics A 06, no. 12 (1991): 2133–46. http://dx.doi.org/10.1142/s0217751x91001064.

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We develop a geometrical approach to Schrödinger quantum mechanics, alternative to the usual one, which is based on linear and algebraic structures such as Hilbert spaces, operator algebras, etc. The starting point of this approach is the Kähler structure possessed by the set of the pure states of a quantum system. The Kähler manifold of the pure states is regarded as a “quantum phase space”, conceptually analogous to the phase space of a classical hamiltonian system, and all the constituents of the conventional formulation, in particular the algebraic structure of the observables, are reprodu
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29

Clouâtre, Raphaël, and Michael Hartz. "Multipliers and operator space structure of weak product spaces." Analysis & PDE 14, no. 6 (2021): 1905–24. http://dx.doi.org/10.2140/apde.2021.14.1905.

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30

MACHU, FRANCOIS-XAVIER. "LOCAL STRUCTURE OF MODULI SPACES." International Journal of Mathematics 22, no. 12 (2011): 1683–709. http://dx.doi.org/10.1142/s0129167x11007409.

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We provide a sketch of the GIT construction of the moduli spaces for the three classes of connections: the class of meromorphic connections with fixed divisor of poles D and its subclasses of integrable and integrable logarithmic connections. We use the Luna Slice Theorem to represent the germ of the moduli space as the quotient of the Kuranishi space by the automorphism group of the central fiber. This method is used to determine the singularities of the moduli space of connections in some examples.
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31

Lee, Dae-Hyung. "Understanding Physical Education Learning Spaces from the Perspective of Elementary Preservice Teacher Educators." Institute for Education and Research Gyeongin National University of Education 44, no. 4 (2024): 49–60. https://doi.org/10.25020/je.2024.44.4.49.

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This study aims to explore the role, structure, and cultural meaning of physical education learning spaces from the perspective of elementary school preservice teacher educators. Data were collected using the researcher’s learning space diary and the participant’s stimulated recall questionnaire. The results of the inductive category analysis method are as follows: First, the role and meaning of physical education learning spaces were categorized into the following: learning space (a place for learning experiences), personal space (a place for movement and challenge), social space (a place for
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McCollum, Gin. "Sensorimotor coordination and the structure of space." Journal of Vestibular Research 13, no. 4-6 (2003): 157–72. http://dx.doi.org/10.3233/ves-2003-134-602.

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Embedded in neural and behavioral organization is a structure of sensorimotor space. Both this embedded spatial structure and the structure of physical space inform sensorimotor control. This paper reviews studies in which the gravitational vertical and horizontal are crucial. The mathematical expressions of spatial geometry in these studies indicate methods for investigating sensorimotor control in freefall. In freefall, the spatial structure introduced by gravitation – the distinction between vertical and horizontal – does not exist. However, an astronaut arriving in space carries the physio
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ISIDRO, JOSÉ M. "A QUANTUM IS A COMPLEX STRUCTURE ON CLASSICAL PHASE SPACE." International Journal of Geometric Methods in Modern Physics 02, no. 04 (2005): 633–55. http://dx.doi.org/10.1142/s0219887805000673.

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Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase space. Under an observer we understand, as in general relativity, a local coordinate chart. While classical mechanics can be formulated using a symplectic structure on classical phase space, quantum mechanics requires a complex-differentiable structure on that same space. Complex-differentiable structures on a given real manifold are often not unique. This arti
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Abed Ali, Safia S., and Boushra Y. Hussein. "New kind of vector space via Ş-Proximit structure." E3S Web of Conferences 508 (2024): 04012. http://dx.doi.org/10.1051/e3sconf/202450804012.

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This paper describes the basic aim of Ş -proximit space for non-empty sets. The relationship between approach space and Ş-proximit space has been clarified. This paper demonstrates that all metric spaces are Ş-proximit spaces. But the opposite is not always true. We define SA-contraction and present various features and the results. In addition, we define new Ş-proximit normed space. We demonstrate that any proximit normed space is normed. But the opposite is not always true. We define the concepts of the Ş -proximit semigroup, Ş-proximit group, and Ş-proximit vector space via instances of pro
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35

Karl-Goswin and Grosse-Erdmann. "The Structure of the Sequence Spaces of Maddox." Canadian Journal of Mathematics 44, no. 2 (1992): 298–307. http://dx.doi.org/10.4153/cjm-1992-020-2.

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AbstractThe sequence of spaces of Maddox, c0(p), c(p)and l∞(p), are investigated. Here, p — (pk) is a bounded sequence of strictly positive numbers. It is observed that C0(P) is an echelon space of order 0 and that l∞(p) is a co-echelon space of order ∞, while clearly c(p) = c0(p) ⊗ 〈 (1,1,1,…) 〉. This sheds a new light on the topological and sequence space structure of these spaces: Based on the highly developed theory of (co-) echelon spaces all known and various new structural properties are derived.
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Wu, Xiu-Yun, Chun-Yan Liao, and Yan-Hui Zhao. "L-topological derived neighborhood relations and L-topological derived remotehood relations." Filomat 36, no. 5 (2022): 1433–50. http://dx.doi.org/10.2298/fil2205433w.

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Fuzzy relations and fuzzy derived operators are useful tools to characterize fuzzy mathematical structures such as fuzzy topology, fuzzy convexity, fuzzy matroid and fuzzy convergence structure. In this paper, notions of L-topological neighborhood relation space, L-topological derived neighborhood relation space and L-topological derived neighborhood space are introduced. It is proved that all of these spaces are categorically isomorphic to L-topological internal relation space and L-topological neighborhood space. Also, notions of L-topological remotehood relation space, L-topological derived
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37

YOUSSEF, NABIL L., AMR M. SID-AHMED, and EBTSAM H. TAHA. "ON FINSLERIZED ABSOLUTE PARALLELISM SPACES." International Journal of Geometric Methods in Modern Physics 10, no. 07 (2013): 1350029. http://dx.doi.org/10.1142/s0219887813500291.

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The aim of this paper is to construct and investigate a Finsler structure within the framework of a Generalized Absolute Parallelism (GAP)-space. The Finsler structure is obtained from the vector fields forming the parallelization of the GAP-space. The resulting space, which we refer to as a Finslerized absolute parallelism (parallelizable) space, combines within its geometric structure the simplicity of GAP-geometry and the richness of Finsler geometry, hence is potentially more suitable for applications and especially for describing physical phenomena. A study of the geometry of the two stru
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38

Olofin, IfeOlorun, and Ronggui Liu. "Suspen-Dome System: A Fascinating Space Structure." Open Civil Engineering Journal 11, no. 1 (2017): 131–42. http://dx.doi.org/10.2174/1874149501711010131.

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With the recent trend in long span space structures, suspen-dome as a roof structure is becoming popular. Therefore, as the construction of long span structures increases in the world today, the effectiveness of suspen-dome structure should be considered in order to undertake further development of the system which may be required to improve its design and construction. One direction of the improvement of such structures is to seek new materials other than using the traditional steel to yield better results. This paper is a review of the suspen-dome system, including its characteristics, its u
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KELLEHER, DANIEL J., BENJAMIN A. STEINHURST, and CHUEN-MING M. WONG. "FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPS." International Journal of Algebra and Computation 22, no. 07 (2012): 1250056. http://dx.doi.org/10.1142/s0218196712500567.

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We explore the relationship between the limit spaces of contracting self-similar groups and self-similar structures. We give the condition on a contracting group such that its limit space admits a self-similar structure, and also the condition such that this self-similar structure is post-critically finite (p.c.f.). We then give necessary and sufficient conditions for a p.c.f. self-similar structure to be the limit space of a contracting self-similar group. When these conditions hold we give a construction of the contracting group. Finally, we illustrate our results with several examples.
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Takehara, Daisuke, and Kei Kobayashi. "Representing Hierarchical Structured Data Using Cone Embedding." Mathematics 11, no. 10 (2023): 2294. http://dx.doi.org/10.3390/math11102294.

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Extracting hierarchical structure in graph data is becoming an important problem in fields such as natural language processing and developmental biology. Hierarchical structures can be extracted by embedding methods in non-Euclidean spaces, such as Poincaré embedding and Lorentz embedding, and it is now possible to learn efficient embedding by taking advantage of the structure of these spaces. In this study, we propose embedding into another type of metric space called a metric cone by learning an only one-dimensional coordinate variable added to the original vector space or a pre-trained embe
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Nguyen, Thanh-Hung, and Xuan-Thuan Nguyen. "Space Splitting and Merging Technique for Online 3-D Bin Packing." Mathematics 11, no. 8 (2023): 1912. http://dx.doi.org/10.3390/math11081912.

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This paper introduces a novel method for online 3-D bin packing, which is a strongly NP-hard problem, based on a space splitting and merging technique. In this scenario, the incoming box is unknown and must be immediately packed. The problem has many applications in industries that use manipulators to automate the packing process. The main idea of the approach is to divide the bin into spaces. These spaces are then categorized into one of two types of data structures: main and secondary data structures. Each node in the main data structure holds the information of a space that can be used to f
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42

TANAKA, Hiroaki. "High Accuracy Space Structure System by Using Smart Structures." Proceedings of Mechanical Engineering Congress, Japan 2019 (2019): F19105. http://dx.doi.org/10.1299/jsmemecj.2019.f19105.

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43

Padula, S. L., C. A. Sandridge, J. L. Walsh, and R. T. Haftka. "Integrated controls-structures optimization of a large space structure." Computers & Structures 42, no. 5 (1992): 725–32. http://dx.doi.org/10.1016/0045-7949(92)90184-2.

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44

Pugliese, Andrea, and Fabio Milner. "A structured population model with diffusion in structure space." Journal of Mathematical Biology 77, no. 6-7 (2018): 2079–102. http://dx.doi.org/10.1007/s00285-018-1246-6.

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45

YOSHINO, Ryozo. "“The Global Structure of Visual Space” by Tarow Indow." Kodo Keiryogaku (The Japanese Journal of Behaviormetrics) 32, no. 1 (2005): 70–73. http://dx.doi.org/10.2333/jbhmk.32.70.

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46

Nakasho, Kazuhisa. "Bilinear Operators on Normed Linear Spaces." Formalized Mathematics 27, no. 1 (2019): 15–23. http://dx.doi.org/10.2478/forma-2019-0002.

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Summary The main aim of this article is proving properties of bilinear operators on normed linear spaces formalized by means of Mizar [1]. In the first two chapters, algebraic structures [3] of bilinear operators on linear spaces are discussed. Especially, the space of bounded bilinear operators on normed linear spaces is developed here. In the third chapter, it is remarked that the algebraic structure of bounded bilinear operators to a certain Banach space also constitutes a Banach space. In the last chapter, the correspondence between the space of bilinear operators and the space of composit
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47

Perez, J. Alvaro, Christelle Pittet, Daniel Alazard, and Thomas Loquen. "Integrated Control/Structure Design of a Large Space Structure using Structured H∞ Control." IFAC-PapersOnLine 49, no. 17 (2016): 302–7. http://dx.doi.org/10.1016/j.ifacol.2016.09.052.

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48

Xing, Jue Hui, Ming Lu, Hai Wang Li, Ya Min Zhao, and Yan Yu. "The Seismic Damage Investigation and Phenomenon Analysis of Space Grid Structures in Lushan Ms 7.0 Earthquake." Applied Mechanics and Materials 501-504 (January 2014): 1535–41. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.1535.

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People remained optimistic about the safety of the space grid structures, because the seismic damages of space grid structures were quite rare and rather light. However, two space grid structures got damaged in 2013 Lushan Ms 7.0 earthquake. The two structures are the double-layer reticulated shell structure and flatbed grid structure, namely Lushan Gymnasium and Lushan Middle School Gymnasium respectively. This paper briefly reviews the seismic damage phenomena of grid structures in historical earthquakes, and then focuses on the two damaged space grid structures in Lushan earthquake. The rea
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Pavlov, Ronnie, and Scott Schmieding. "On the structure of generic subshifts." Nonlinearity 36, no. 9 (2023): 4904–53. http://dx.doi.org/10.1088/1361-6544/acea25.

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Abstract We investigate generic properties (i.e. properties corresponding to residual sets) in the space of subshifts with the Hausdorff metric. Our results deal with four spaces: the space S of all subshifts, the space S ′ of non-isolated subshifts, the closure T ′ ‾ of the infinite transitive subshifts, and the closure T T ′ ‾ of the infinite totally transitive subshifts. In the first two settings, we prove that generic subshifts are fairly degenerate; for instance, all points in a generic subshift are biasymptotic to periodic orbits. In contrast, generic subshifts in the latter two spaces p
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Wess, Julius. "q-Deformed Phase Space and its Lattice Structure." International Journal of Modern Physics A 12, no. 28 (1997): 4997–5005. http://dx.doi.org/10.1142/s0217751x97002656.

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Abstract:
Quantum groups lead to an algebraic structure that can be realized on quantum spaces. These are noncommutative spaces that inherit a well-defined mathematical structure from the quantum group symmetry. In turn such quantum spaces can be interpreted as noncommutative configuration spaces for physical systems. We study the noncommutative Euclidean space that is based on the quantum group SO q(3).
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