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1

Cho, Yun-Hi. "RIGONOMETRY IN EXTENDED HYPERBOLIC SPACE AND EXTENDED DE SITTER SPACE". Bulletin of the Korean Mathematical Society 46, n.º 6 (30 de novembro de 2009): 1099–133. http://dx.doi.org/10.4134/bkms.2009.46.6.1099.

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2

Jordá, Enrique. "Weighted Vector-Valued Holomorphic Functions on Banach Spaces". Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/501592.

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We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a functionfdefined in a subsetAof an open and connected subsetUof a Banach spaceX, with values in another Banach spaceE, and admitting certain weak extensions in a Banach space of holomorphic functions can be holomorphically extended in the corresponding Banach space of vector-valued functions.
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3

Hopersky, Alexey N., Rustam V. Koneev e Alexey M. Nadolinsky. "On the Extended Hilbert Space". UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, n.º 1 (29 de março de 2024): 38–42. http://dx.doi.org/10.18522/1026-2237-2024-1-38-42.

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The construction of the extended Hilbert space is presented in the form of a direct sum of the spaces of vectors of finite and infinite norms as the main space in the mathematical formalism of quantum mechanics of a many-electron atom. On the example of constructing the analytical structure of the probability amplitude 1s-3p of photoexcitation of a neon atom, the implementation of the EHS-construct for solving the equations of the self-consistent Hartree-Fock field is given.
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4

Herrlich, Frank. "The extended Teichmüller space". Mathematische Zeitschrift 203, n.º 1 (janeiro de 1990): 279–91. http://dx.doi.org/10.1007/bf02570736.

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5

Zhuge, Hai, Erlin Yao, Yunpeng Xing e Jie Liu. "Extended resource space model". Future Generation Computer Systems 21, n.º 1 (janeiro de 2005): 189–98. http://dx.doi.org/10.1016/j.future.2004.09.016.

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6

COTTOM, D. "Orifices Extended in Space". differences 11, n.º 2 (1 de janeiro de 1999): 1–21. http://dx.doi.org/10.1215/10407391-11-2-1.

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7

Jaime E. Oliver La Rosa. "Extending Space in Varèse's Interpolations: Extended Stereo Space". Perspectives of New Music 51, n.º 1 (2013): 262. http://dx.doi.org/10.7757/persnewmusi.51.1.0262.

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Jaime E. Oliver La Rosa. "Extending Space in Varèse's Interpolations: Extended Stereo Space". Perspectives of New Music 51, n.º 1 (2013): 262–69. http://dx.doi.org/10.1353/pnm.2013.0017.

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9

Kang, Kiseok Michael. "Extended Space Deterrence: Providing Security Assurance in Space". Journal of Strategic Security 16, n.º 2 (julho de 2023): 11–25. http://dx.doi.org/10.5038/1944-0472.16.2.2095.

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Many U.S. allies are increasingly dependent on space-based platforms for their military and economic activities. At the same time, the counterspace threats from U.S. adversaries such as China and Russia are rapidly intensifying. The United States has provided extended deterrence to its allies through its overwhelming nuclear and conventional capabilities for decades. The question arises as to whether the time-tested logic of extended deterrence is applicable in the space domain. This research argues that U.S. extended deterrence in space—relying on the traditional mechanism of deterrence-by-punishment—is ineffective due to the unique nature of outer space.
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10

Gusevskii, N. A., e N. S. Zindinova. "Space of extended Schottky groups". Siberian Mathematical Journal 27, n.º 6 (1987): 838–49. http://dx.doi.org/10.1007/bf00970002.

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11

Teofanov, Nenad, e Filip Tomić. "Extended Gevrey Regularity via Weight Matrices". Axioms 11, n.º 10 (21 de outubro de 2022): 576. http://dx.doi.org/10.3390/axioms11100576.

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The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two parameter sequences Mp=pτpσ, τ>0, σ>1. The other one uses weight matrices defined by certain weight functions. We prove the equivalence of the corresponding spaces in the Beurling case by taking projective limits with respect to matrix parameters, while in the Roumieu case we need to consider a larger space than the one obtained as the inductive limit of extended Gevrey classes.
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12

Clifton, Nick, Fiona Carroll e Richard Wheeler. "Proximity, Innovation, Collaboration; Developing the 4th “Extended Reality” Space". Dialogue and Universalism 32, n.º 2 (2022): 61–82. http://dx.doi.org/10.5840/du202232228.

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The digital “4th Space” is a development of Oldenburg’s delineation of the 1st (home), 2nd place (work) and 3rd (social) places. Coworking spaces are presented as an example of space blurring within the knowledge economy, where digitalization, knowledge flows, flexibility and innovation play out at the micro level. Post-pandemic, they are likely to play a greater role as remote working remains a permanent feature. But how should we reassess their role in the advent of the 4th space, and what might the 4th space mean for how the role of proximity itself is (re)conceptualized in relation to collaboration and innovation? To do so, providing examples, we suggest the journey from the telephone to extended reality (XR) video conferencing technologies as a means to understand the evolution of the 4th space. We discuss (XR) spaces and the opportunities to afford proximity and collaboration, thus providing an agenda for further research.
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13

Sanyal, S., e R. Nag. "using an extended Fock space wavefunction". Journal of Physics G: Nuclear and Particle Physics 22, n.º 2 (1 de fevereiro de 1996): L7—L12. http://dx.doi.org/10.1088/0954-3899/22/2/001.

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14

Healy, W. P. "Gauge transformations in extended phase space". Physica Scripta 48, n.º 3 (1 de setembro de 1993): 269–76. http://dx.doi.org/10.1088/0031-8949/48/3/003.

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15

Rayman, Marc D., e Philip Varghese. "The deep space 1 extended mission". Acta Astronautica 48, n.º 5-12 (março de 2001): 693–705. http://dx.doi.org/10.1016/s0094-5765(01)00044-3.

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16

Pradhan, Parthapratim. "Thermodynamic products in extended phase-space". International Journal of Modern Physics D 26, n.º 02 (fevereiro de 2017): 1750010. http://dx.doi.org/10.1142/s0218271817500109.

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We have examined the thermodynamic properties for a variety of spherically symmetric charged-AdS black hole (BH) solutions, including the charged AdS BH surrounded by quintessence dark energy and charged AdS BH in [Formula: see text] gravity in extended phase-space. This framework involves treating the cosmological constant as thermodynamic variable (for example: thermodynamic pressure and thermodynamic volume). Then they should behave as an analog of Van-der-Waal (VdW) like systems. In the extended phase-space we have calculated the entropy product and thermodynamic volume product of all horizons. The mass (or enthalpy) independent nature of the said product signals they are universal quantities. The divergence of the specific heat indicates that the second-order phase transition occurs under certain condition. In Appendix A, we have studied the thermodynamic volume products for axisymmetric spacetime and it is shown to be not universal in nature. Finally, in Appendix B, we have studied the [Formula: see text] criticality of Cauchy horizon for charged-AdS BH and found to be an universal relation of critical values between two horizons as [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text]. The symbols are defined in the main work.
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17

Sawhill, Bruce K. "Extended objects in curved space-time". Physics Letters B 203, n.º 1-2 (março de 1988): 69–73. http://dx.doi.org/10.1016/0370-2693(88)91572-9.

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18

Kehagias, A., J. Madore, J. Mourad e G. Zoupanos. "Linear connections on extended space‐time". Journal of Mathematical Physics 36, n.º 10 (outubro de 1995): 5855–67. http://dx.doi.org/10.1063/1.531292.

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19

Weiss, Bernard, Mark Utell e Paul Morrow. "Toxicological implications of extended space flights". Acta Astronautica 27 (julho de 1992): 239–42. http://dx.doi.org/10.1016/0094-5765(92)90203-u.

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20

Santiago-Mozos, Ricardo, Fernando Pérez-Cruz e Antonio Artés-Rodríguez. "Extended Input Space Support Vector Machine". IEEE Transactions on Neural Networks 22, n.º 1 (janeiro de 2011): 158–63. http://dx.doi.org/10.1109/tnn.2010.2090668.

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21

Irshad, Azeem, Muhammad Salman, Sajid Bashir e Muhammad Bilal Malik. "Extended state space recursive least squares". Digital Signal Processing 49 (fevereiro de 2016): 95–103. http://dx.doi.org/10.1016/j.dsp.2015.10.017.

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22

Rubinstein, Isaak, e Boris Zaltzman. "Extended space charge in concentration polarization". Advances in Colloid and Interface Science 159, n.º 2 (setembro de 2010): 117–29. http://dx.doi.org/10.1016/j.cis.2010.06.001.

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23

Vinokhodova, Alla, Vadim Gushin, Polina Kuznetsova e Anna Yusupova. "Crew Interaction in Extended Space Missions". Aerospace 10, n.º 8 (16 de agosto de 2023): 719. http://dx.doi.org/10.3390/aerospace10080719.

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Detection of the extent of common values in a cohesive space crew has become an important trend in modern space psychology. It is known from the works of Ch. Osgood that the semantic differential scale is a reliable way to obtain objective information on the emotional attitudes towards a topic of interest. Within the frame of the Russian space experiment “Interactions” on the International Space Station (ISS), a computerized survey, the Personal Self-Perception and Attitudes (PSPA), was developed for analyzing the subjects’ emotional attitudes toward their social environment. In the course of the PSPA procedure, the crewmembers rate each other and themselves (in the past, present, and future) using the criteria previously personally chosen. These criteria should be regarded as their personal values. A total of 30 subjects have already completed the study on board the ISS. The main tasks of the study are: (1) to define individual and group values and the extent of group identification reflected in sharing these values; (2) to determine the impact of cross-cultural factors on mutual perceptions and self-perceptions in space crews and with the Mission Control Center (MCC); (3) to study changes in the space crews’ group cohesiveness and structure as they are exposed to the stress of the extended space mission environment. The data obtained indicate an increase in a “psychological distance” between the crew and the MCC personnel versus increased crew cohesion. The results gained made it possible to identify the most significant categories of values common to the subjects from the professional cosmonaut group. The priority of these shared values for each subject is an important condition for the formation of a cohesive crew.
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24

Ebnali, Mahdi, Phani Paladugu, Christian Miccile, Sandra Hyunsoo Park, Barbara Burian, Steven Yule e Roger D. Dias. "Extended Reality Applications for Space Health". Aerospace Medicine and Human Performance 94, n.º 3 (1 de março de 2023): 122–30. http://dx.doi.org/10.3357/amhp.6131.2023.

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INTRODUCTION: Spaceflight has detrimental effects on human health, imposing significant and unique risks to crewmembers due to physiological adaptations, exposure to physical and psychological stressors, and limited capabilities to provide medical care. Previous research has proposed and evaluated several strategies to support and mitigate the risks related to astronauts' health and medical exploration capabilities. Among these, extended reality (XR) technologies, including augmented reality (AR), virtual reality (VR), and mixed reality (MR) have increasingly been adopted for training, real-time clinical, and operational support in both terrestrial and aerospace settings, and only a few studies have reported research results on the applications of XR technologies for improving space health. This study aims to systematically review the scientific literature that has explored the application of XR technologies in the space health field. We also discuss the methodological and design characteristics of the existing studies in this realm, informing future research and development efforts on applying XR technologies to improve space health and enhance crew safety and performance.Ebnali M, Paladugu P, Miccile C, Park SH, Burian B, Yule S, Dias RD. Extended reality applications for space health. Aerosp Med Hum Perform. 2023; 94(3):122–130.
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25

الكليلي سميحة e مصطفى حاكمة. "Some Results of Unique Common Fixed Point Generalized In Extended b_2-metric spaces". Journal of Pure & Applied Sciences 21, n.º 4 (3 de outubro de 2022): 35–39. http://dx.doi.org/10.51984/jopas.v21i4.2122.

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Recently, extended -metric space has been used as a generalization of both -metric and extended metric spaces. The object of this study is to evidence some findings of fixed point and common fixed point for mappings in the frame of extended -metric space, in addition, to generalizing some examples. The outcomes of this study are to generalize and extend some existing findings in previous literature.
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26

BEER, G., e J. VANDERWERFF. "SEPARATION OF CONVEX SETS IN EXTENDED NORMED SPACES". Journal of the Australian Mathematical Society 99, n.º 2 (26 de fevereiro de 2015): 145–65. http://dx.doi.org/10.1017/s144678871500004x.

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We give continuous separation theorems for convex sets in a real linear space equipped with a norm that can assume the value infinity. In such a space, it may be impossible to continuously strongly separate a point $p$ from a closed convex set not containing $p$, that is, closed convex sets need not be weakly closed. As a special case, separation in finite-dimensional extended normed spaces is considered at the outset.
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27

Fang, Zhong-Shan, e Ze-Hua Zhou. "Extended Cesáro operators from generally weighted Bloch spaces to Zygmund space". Journal of Mathematical Analysis and Applications 359, n.º 2 (novembro de 2009): 499–507. http://dx.doi.org/10.1016/j.jmaa.2009.06.013.

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28

Burgin, M. S. "Topology in nonlinear extensions of hypernumbers". Discrete Dynamics in Nature and Society 2005, n.º 2 (2005): 145–70. http://dx.doi.org/10.1155/ddns.2005.145.

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Modern theory of dynamical systems is mostly based on nonlinear differential equations and operations. At the same time, the theory of hypernumbers and extrafunctions, a novel approach in functional analysis, has been limited to linear systems. In this paper, nonlinear structures are introduced in spaces of real and complex hypernumbers by extending the concept of a hypernumber. In such a way, linear algebras of extended hypernumbers are built. A special topology of conical neighborhoods in these algebras is introduced and studied. It is proved that the space of all extended real hypernumbers is Hausdorff. This provides uniqueness for limits what is very important for analysis of dynamical systems. It is also proved that construction of extended real hypernumbers is defined by a definite invariance principle: the space of all extended real hypernumbers is the biggest Hausdorff factorization of the sequential extension of the space of all real numbers with the topology of conical neighborhoods. In addition, this topology turns the set of all bounded extended real hypernumbers into a topological algebra. Other topologies in spaces of extended hypernumbers are considered.
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29

Laith K. Shaakir e Anas A. Hijab. "Some properties on extended eigenvalues and extended eigenvectors". Tikrit Journal of Pure Science 24, n.º 6 (3 de novembro de 2019): 128–30. http://dx.doi.org/10.25130/tjps.v24i6.448.

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In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and .
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30

Pashaie, F., N. Tanoomand-Khooshmehr, A. Rahimi e L. Shahbaz. "On extended biharmonic hypersurfaces with three curvatures". Proyecciones (Antofagasta) 42, n.º 1 (1 de fevereiro de 2023): 125–44. http://dx.doi.org/10.22199/issn.0717-6279-5443.

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The subject of harmonic and biharmonic submanifolds, with important role in mathematical physics and differential geometry, arises from the variation problems of ordinary mean curvature vector field. Generally, harmonic submanifolds are biharmonic, but not vice versa. Of course, many examples of biharmonic hypersurfaces are harmonic. A well-known conjecture of Bang-Yen Chen on Euclidean spaces says that every biharmonic submanifold is harmonic. Although the conjecture has not been proven (in general case), it has been affirmed in many cases, and this has led to its spread to various types of submanifolds. Inspired by the conjecture, we study the Lorentz submanifolds of the Lorentz-Minkowski spaces. We consider an advanced versión of the conjecture (namely, L1-conjecture) on Lorentz hypersurfaces of the pseudo-Euclidean 5-space L5 := E15 (i.e. the Minkowski 5-space). We confirm the extended conjecture on Lorentz hypersurfaces with three principal curvatures.
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31

Shaakir1, Laith K., e Anas A. Hijab2. "Some properties on extended eigenvalues and extended eigenvectors". Tikrit Journal of Pure Science 24, n.º 6 (3 de novembro de 2019): 128. http://dx.doi.org/10.25130/j.v24i6.898.

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In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and . http://dx.doi.org/10.25130/tjps.24.2019.119
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32

SELKO, Zamir, e Eriola SILA. "Some Fixed Point Results of (α,β,φ,δ) Contractions in Extended Cone b-Metric Spaces". Eurasia Proceedings of Science Technology Engineering and Mathematics 25 (25 de dezembro de 2023): 67–75. http://dx.doi.org/10.55549/epstem.1403012.

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This paper investigates the existence and uniqueness of fixed points for a class of generalized contractive mappings defined on extended cone metric spaces. Subsequently, we define and explore (α, β, φ, δ)-contractions, a generalization of traditional contractions that allows for a more nuanced understanding of the contraction behavior in extended cone metric spaces. The extended metric space was defined for the first time in 2017, by Kamran et al. (2017). They replaced the constant in the triangle inequality of the metric with a two-variable function and explored various fixed point theorems. In 2022, Das and Bag[4] introduced extended cone metric spaces by incorporating a three-variable map into the third condition of the cone metric. Afterwards, Selko and Sila introduced the concept of extended quasi cone b-metric spaces and demonstrated the Banach contraction within this framework. In 2018, Alqahtani. (2018) and colleagues established several fixed point results for a pair of orbital cyclic functions in an extended metric space. In this paper we prove some fixed point theorems for -orbital-cyclic functions in extended cone metric spaces by using the continuous map φ and a nonnegative constant δ.
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33

Gregory, Jim S., e J. S. Griffith. "Winter concealment by subyearling rainbow trout: space size selection and reduced concealment under surface ice and in turbid water conditions". Canadian Journal of Zoology 74, n.º 3 (1 de março de 1996): 451–55. http://dx.doi.org/10.1139/z96-052.

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The proportion of rainbow trout (Oncorhynchus mykiss) concealing themselves in simulated interstitial spaces was examined in the presence of surface ice, in turbid water, and in clear water. Tests were conducted in enclosures in a small Idaho stream with structures that provided five rectangular spaces varying in width and height, one circular space, and one triangular space. Space use was assessed each morning by trapping test fish inside the structures. Significantly more fish concealed themselves under clear water conditions than under either surface ice or turbid water conditions. Spaces narrower than the width of a test fish with extended pectoral fins and spaces taller than the height of a test fish with dorsal fin extended were used less than would be expected if space use was random. The frequency with which two or more fish occurred together in the same space was similar to that expected if fish occurred together at random. Fish rarely returned to the same space on consecutive nights.
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34

Chi, Shun Tang, e Hung Chi Song. "An Investigation on the Disobeyed Housing in Kaohsiung City". Applied Mechanics and Materials 71-78 (julho de 2011): 4903–6. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.4903.

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For a long time, Taiwan residents extended housing spaces in order to suffice their living demands and provide an ideal living space which they imaged. The rate of housing extended space in Taiwan is 65.9% [1]. For understanding the state of housing spaces extending phenomenon in Taiwan, the task of this study is investigating the formats and reasons of Kaohsiung housing extended spaces by the questionnaire and analysis. The results of this study indicated five of these findings are worth summarizing: ˙ The main sources of disobeyed spaces are the vacant by building coverage ratio, included the front of the house, the behind of the house, the side of the house, the flat roof, the balcony etc. ˙ The purpose of housing spaces extended to increase the use of spaces, the space functions mostly were laundry rooms and stockrooms. ˙ Most sizes of the disobeyed spaces were one floor of the metal shacks. ˙ The regulations of building coverage ratio, floor area ratio have some flows and let the residents to construct the disobeyed space. ˙ The mechanisms of the housing market and building design became the factors of the disobeyed house afterward. Besides strengthen the inspection of the disobeyed constructs to prevent disobeyed house, it is proposed to proceed from the following two strategies. First, revise the vacant of BCR and FAR and architectural design standards. Second, revise the mechanisms of the housing market and architecture plan.
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Banaszkiewicz, Marek, Marek Węgrzyn, Fatina Basmadji e Mirosław Galicki. "Robust Trajectory Tracking Control of Space Manipulators in Extended Task Space". Pomiary Automatyka Robotyka 26, n.º 4 (20 de dezembro de 2022): 27–35. http://dx.doi.org/10.14313/par_246/27.

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This study provides a new class of controllers for freeflying space manipulators subject to unknown undesirable disturbing forces exerted on the end-effector. Based on suitably defined taskspace non-singular terminal sliding manifold and the Lyapunov stability theory, we derive a class of estimated extended transposed Jacobian controllers which seem to be effective in counteracting the unstructured disturbing forces. The numerical computations which are carried out for a space manipulator consisting of a spacecraft propelled by eight thrusters and holonomic manipulator of three revolute kinematic pairs, illustrate the performance of the proposed controller.
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36

Davidson, Ernest R., Joseph Vincent Ortiz e Viktor N. Staroverov. "Complete-active-space extended Koopmans theorem method". Journal of Chemical Physics 155, n.º 5 (7 de agosto de 2021): 051102. http://dx.doi.org/10.1063/5.0058080.

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37

Burov, A. A., e I. I. Kosenko. "Pendulum motions of extended lunar space elevator". Mechanics of Solids 49, n.º 5 (setembro de 2014): 506–17. http://dx.doi.org/10.3103/s0025654414050033.

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38

Luo, Feng, e Jean-Marc Schlenker. "Volume maximization and the extended hyperbolic space". Proceedings of the American Mathematical Society 140, n.º 3 (1 de março de 2012): 1053–68. http://dx.doi.org/10.1090/s0002-9939-2011-10941-9.

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39

Chong, C. C., e A. Vourdas. "Quantum correlations and the extended phase space". Journal of Physics A: Mathematical and General 34, n.º 46 (13 de novembro de 2001): 9849–60. http://dx.doi.org/10.1088/0305-4470/34/46/308.

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40

DEKKER, H., e A. MAASSEN VAN DEN BRINK. "TRANSITION STATE THEORY IN EXTENDED PHASE SPACE". Modern Physics Letters B 07, n.º 19 (20 de agosto de 1993): 1263–68. http://dx.doi.org/10.1142/s0217984993001284.

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Turnover theory (of the escape Γ) à la Grabert will be based solely on Kramers' Fokker–Planck equation for activated rate processes. No recourse to a microscope model or Langevin dynamics will be made. Apart from the unstable mode energy E, the analysis requires new theoretical concepts such as a constrained Gaussian transformation (CGT) and dynamically extended phase space (EPS).
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41

Serino, Andrea, Michela Bassolino, Alessandro Farnè e Elisabetta Làdavas. "Extended Multisensory Space in Blind Cane Users". Psychological Science 18, n.º 7 (julho de 2007): 642–48. http://dx.doi.org/10.1111/j.1467-9280.2007.01952.x.

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In the present work, we investigated whether an auditory peripersonal space exists around the hand and whether such a space might be extended by a brief tool-use experience or by long-term experience using a tool in everyday life. To this end, we studied audio-tactile integration in the space around the hand and in far space, in blind subjects who regularly used a cane to navigate and in sighted subjects, before and after brief training with the cane. In sighted subjects, auditory peripersonal space was limited to around the hand before tool use, then expanded after tool use, and contracted backward after a resting period. In contrast, in blind subjects, peri-hand space was immediately expanded when they held the cane but was limited to around the hand when they held a short handle. These results suggest that long-term experience with the cane induces a durable extension of the peripersonal space.
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