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Journal articles on the topic 'Multifunction space'

Author: Grafiati

Published: 28 June 2021

Last updated: 13 February 2022

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1

Piazza, Luisa Di, and Kazimierz Musiał. "Decompositions of Weakly Compact Valued Integrable Multifunctions." Mathematics 8, no. 6 (May 26, 2020): 863. http://dx.doi.org/10.3390/math8060863.

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We give a short overview on the decomposition property for integrable multifunctions, i.e., when an “integrable in a certain sense” multifunction can be represented as a sum of one of its integrable selections and a multifunction integrable in a narrower sense. The decomposition theorems are important tools of the theory of multivalued integration since they allow us to see an integrable multifunction as a translation of a multifunction with better properties. Consequently, they provide better characterization of integrable multifunctions under consideration. There is a large literature on it starting from the seminal paper of the authors in 2006, where the property was proved for Henstock integrable multifunctions taking compact convex values in a separable Banach space X. In this paper, we summarize the earlier results, we prove further results and present tables which show the state of art in this topic.

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2

Cao, Jiling, Ivan L. Reilly, and Salvador Romaguera. "Some properties of quasiuniform multifunction spaces." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 64, no. 2 (April 1998): 169–77. http://dx.doi.org/10.1017/s1446788700001671.

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AbstractThe aim of this paper is to explore some properties of quasiuniform multifunction spaces. Various kinds of completeness of the quasiuniform multifunction space (YmX, UmX) are characterized in terms of suitable properties of the range space (Y, U). We also discuss the local compactness of quasiuniform multifunction spaces. By using the notion of small-set symmetry, the classic result of Hunsaker and Naimpally is extended to the quasiuniform setting.

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3

Dodos, Pandelis. "On continuity and selections of multifunctions." Bulletin of the Australian Mathematical Society 65, no. 3 (June 2002): 407–22. http://dx.doi.org/10.1017/s0004972700020451.

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The notions of a Baire-1 and a weak Baire-1 multifunction are defined and a striking analogy between Baire-1 multifunctions and classical Baire-1 functions is established. A selection theorem is presented which asserts that if X is a metrisable space, Y a Polish space and F: X → 2Y/{∅} a closed-valued, weak Baire-1 multifunction, then F admits a Baire-1 selection. Using the machinery developed we prove that if X is a Banach space with separable dual, then every weak* usco, defined on a completely metrisable space Z, which values are weakly* compact subsets of the dual, is norm lower semicontinuous on a dense Gδ set.

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4

Caesandra, Violla, Hanny Wahidin Wiranegara, and Sugihartoyo Sugihartoyo. "Tingkat Keberlanjutan Pemanfaatan Ruang Publik Multifungsi di Permukiman Kumuh." TATALOKA 22, no. 3 (August 31, 2020): 354–65. http://dx.doi.org/10.14710/tataloka.22.3.354-365.

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Due to the limitation of slum dweller’s residence, they use public spaces for their daily activities. One kind of them is a park. Public space used for various kinds of activities by slum dwellers is called a multifunction public space. Utilization of multifunction public space can potentially lead to spatial use conflict which interfere with its functional sustainability. The aim of this research was to identify the level of sustainability of the utilization of a multifunction public space in the slum area. This research used a quantitative approach and a questionnaires survey method. Respondents were slum dwellers using the park. The total respondents was 96 by using the Lemeshow formula. The results showed that there were differences in the level of sustainability among three parks. The highest level of sustainable utilization is Pendongkelan, the medium level is Melati Indah, and the lowest level is Taman Anggrek. There were four aspects of sustainability which were measured. Diversity and harmony were two aspects determining sustainability. For sustainability of spatial utilization of the multifunction public space in the slum area need management to take care of the size of the park, the availability of park amenities, and its accessibility.

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5

Sundevall, Elin P., and Märit Jansson. "Inclusive Parks across Ages: Multifunction and Urban Open Space Management for Children, Adolescents, and the Elderly." International Journal of Environmental Research and Public Health 17, no. 24 (December 14, 2020): 9357. http://dx.doi.org/10.3390/ijerph17249357.

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In urban areas where increased density has caused loss of urban open space (UOS), there is a need for high-quality parks that are inclusive and fit for multiple user groups. To make parks more inclusive, UOS management may need to consider multifunction and the perspectives of various age groups in future development and maintenance activities. Walking interviews were conducted in a park in central Landskrona, Sweden, with children, adolescents, and elderly users, and also with the head park manager of the city. The results revealed different perspectives among the three age groups of users concerning affordances and UOS management. The manager described user-oriented management to support multifunction and inclusion, including user participation. All user groups studied showed an appreciation of liveliness, contact with nature, social places for their own age group, clean and safe parks, and a variety of different atmospheres and activities in the park. Social multifunction can be developed in programmed or non-programmed ways, but some functions interfere with each other. UOS managers can develop parks to suit different age groups, promote user participation within management, and develop social multifunction to create inclusive parks for various age groups.

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6

Zhang, Chen, Jun Gao, Xiangyu Cao, Si-Jia Li, Huanhuan Yang, and Tong Li. "Multifunction Tunable Metasurface for Entire-Space Electromagnetic Wave Manipulation." IEEE Transactions on Antennas and Propagation 68, no. 4 (April 2020): 3301–6. http://dx.doi.org/10.1109/tap.2019.2929438.

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7

Bilal, Shamas, Tzanko Donchev, Nikolay Kitanov, and Nasir Javaid. "Nonlocal Riemann–Liouville fractional evolution inclusions in Banach space." Asian-European Journal of Mathematics 13, no. 08 (June 2, 2020): 2050162. http://dx.doi.org/10.1142/s1793557120501624.

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In this paper, we study the existence of solutions for nonlocal semilinear fractional evolution inclusions involving Riemann–Liouville derivative in a general Banach space. The fixed point theorem for contractive valued multifunction is used. Illustrative example is provided.

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8

SAMEI, MOHAMMAD, GHORBAN KHALILZA DEH RANJBAR, and VAHID HEDAYATI. "Existence of Solutions for a Class of Caputo Fractional q-Difference Inclusion on Multifunctions by Computational Results." Kragujevac Journal of Mathematics 45, no. 4 (August 2021): 543–70. http://dx.doi.org/10.46793/kgjmat2104.543s.

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In this paper, we study a class of fractional q-diﬀerential inclusion of order 0 < q < 1 under L1-Caratheodory with convex-compact valued properties on multifunctions. By the use of existence of ﬁxed point for closed valued contractive multifunction on a complete metric space which has been proved by Covitz and Nadler, we provide the existence of solutions for the inclusion problem via some conditions. Also, we give a couple of examples to elaborate our results and to present the obtained results by some numerical computations.

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9

Borwein, J., W. B. Moors, and Y. Shao. "Subgradient representation of multifunctions." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 40, no. 3 (January 1999): 301–13. http://dx.doi.org/10.1017/s0334270000010924.

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10

George, Reny, and Hemanth Kumar Pathak. "Some New Extensions of Multivalued Contractions in a b-metric Space and Its Applications." Mathematics 9, no. 1 (December 23, 2020): 12. http://dx.doi.org/10.3390/math9010012.

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The Hβ-Hausdorff–Pompeiu b-metric for β∈[0,1] is introduced as a new variant of the Hausdorff–Pompeiu b-metric H. Various types of multi-valued Hβ-contractions are introduced and fixed point theorems are proved for such contractions in a b-metric space. The multi-valued Nadler contraction, Czervik contraction, q-quasi contraction, Hardy Rogers contraction, weak quasi contraction and Ciric contraction existing in literature are all one or the other type of multi-valued Hβ-contraction but the converse is not necessarily true. Proper examples are given in support of our claim. As applications of our results, we have proved the existence of a unique multi-valued fractal of an iterated multifunction system defined on a b-metric space and an existence theorem of Filippov type for an integral inclusion problem by introducing a generalized norm on the space of selections of the multifunction.

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11

Pruitt, J. S. "A large flat panel multifunction display for military and space applications." IEEE Aerospace and Electronic Systems Magazine 7, no. 9 (September 1992): 30–35. http://dx.doi.org/10.1109/62.156194.

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12

Deroba, Joseph C., Garrett J. Schneider, Christopher A. Schuetz, and Dennis W. Prather. "Multifunction Radio Frequency Photonic Array With Beam-Space Down-Converting Receiver." IEEE Transactions on Aerospace and Electronic Systems 54, no. 6 (December 2018): 2746–61. http://dx.doi.org/10.1109/taes.2018.2829359.

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13

Papageorgiou, Nikolaos S. "Trajectories of set valued integrals." Bulletin of the Australian Mathematical Society 31, no. 3 (June 1985): 389–411. http://dx.doi.org/10.1017/s0004972700009357.

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The purpose of this paper is to study the trajectory multifunction Φ(·) determined by the indefinite set valued integral of a measurable Banach space valued multifunction F(·), that is for all t ∈ [0, T], , where the set valued integral is interpreted in the sense of Aumann. We study the topological and algebraic properties of SΦ equaling the set of selectors of Φ(·) whose primitive is an integrable selector of F(·). We also determine several useful properties that Φ(·) possesses and finally we present some convergence and stability results using the Kuratowski-Mosco convergence of sets.

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14

Coodey, M., and S. Simons. "The convex function determined by a multifunction." Bulletin of the Australian Mathematical Society 54, no. 1 (August 1996): 87–97. http://dx.doi.org/10.1017/s0004972700015100.

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We shall show how each multifunction on a Banach space determines a convex function that gives a considerable amount of information about the structure of the multifunction. Using standard results on convex functions and a standard minimax theorem, we strengthen known results on the local boundedness of a monotone operator, and the convexity of the interior and closure of the domain of a maximal monotone operator. In addition, we prove that any point surrounded by (in a sense made precise) the convex hull of the domain of a maximal monotone operator is automatically in the interior of the domain, thus settling an open problem.

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15

Alansi, Mohammed, Ibrahim Elshafiey, Abdulhameed Al-Sanie, and Md Anowar Hossain. "Multi-User Detection for Radar and Communication Multifunction System." Journal of Circuits, Systems and Computers 24, no. 03 (February 10, 2015): 1550038. http://dx.doi.org/10.1142/s0218126615500383.

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A multifunctional system that performs synthetic aperture radar (SAR) and communication tasks is presented. The system depends on orthogonal frequency division multiplexing (OFDM) waveform shaping and multiple input multiple output (MIMO) configuration to achieve enhancement in the spectral efficiency of communication operation and provide interference rejection in SAR imaging. The SAR interval idle time is utilized to enhance the communication signal through diversity. Adaptive system features are introduced to achieve multi-user detection and improve the communication reliability, by means of space division multiple access (SDMA) and space–time block coding (STBC). Investigations of linear and nonlinear multi-user detection (MUD) techniques are provided. Moreover, a genetic algorithm-based system is developed to optimize the MUD problem and to provide near-optimal performance even for overloaded scenarios. A gain of more than 4 dB is achieved at bit error rate of 10-2.

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16

Liang, Hui Rong, Jian Ning Xu, and Duan Yin Zhu. "Multifunction Expansion Design of the Wellbore Multiphase-Flow Experimental System." Advanced Materials Research 732-733 (August 2013): 421–25. http://dx.doi.org/10.4028/www.scientific.net/amr.732-733.421.

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In this paper, a set of wellbore multiphase flow experimental system with several functions is designed. The system can complete a flow loop of the two-phase flow or the multiphase flow of oil, gas, and water in a level, vertical or tilt angle tube, used to study the flow law of these different mixed modes in the inner tube and the annular space of the wellbore and the heat transfer law between the fluids in the inner tube and the annular space. It is a set of large-scale and complete experimental system to research the multiphase flow.

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17

Psyk, Stanislaw. "Quasi-continuity with respect to semi-regularisation topology." Bulletin of the Australian Mathematical Society 37, no. 3 (June 1988): 423–28. http://dx.doi.org/10.1017/s0004972700027040.

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This paper gives some sufficient conditions under which upper, lower or both upper and lower quasi-continuity of multifunction in the process of semi-regularisation of a topological space are preserved. Analogous results for continuous maps are true.

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18

Yin, Ziyan, Yu Liu, and Yuchun Pan. "Evaluation and Classification of Rural Multifunction at a Grid Scale: A Case Study of Miyun District, Beijing." Sustainability 13, no. 11 (June 3, 2021): 6362. http://dx.doi.org/10.3390/su13116362.

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Rural areas are a natural, economic and social complex with multiple functions. Identifying rural multifunction scientifically is the basis for promoting efficient rural spatial planning and sustainable development strategy. In this paper, we calculated and characterized the rural production-living-ecological (PLE) functions at a grid scale of 300 × 300 m in Miyun District by establishing an evaluation index system. Several types of rural functional area were identified with the help of an ISO cluster unsupervised classification tool. Three main results were found as follows. (1) The values of the production, living, ecological functions and multifunction ranged from 0–0.101, 0–0.204, 0.009–0.241 and 0.009–0.302, respectively. Ecological function was dominant in this area. (2) The overall spatial patterns of production and living functions showed the characteristic of being “high in the south and low in the north”, and areas with high values were almost distributed around urban areas and the Miyun Reservoir. While for the ecological function and multifunction, they possessed the opposite characteristics to production and living functions, with high values concentrated in the mountainous areas in the northwest, northeast, east and south of Miyun District. (3) According to the clustering results, rural multifunction of Miyun District was divided into four types: ecological conservation, employment and residence, recreation and potential development, with the area proportions of 44.22%, 17.92%, 20.73% and 17.13%, respectively. Each functional type showed a characteristic of agglomeration. In the future, the study of rural multifunction at micro scales should be paid more attention to better understand the functional differences within the country. This research can provide a decision-making reference for demarcation of rural production-living-ecological space and compilation of spatial planning.

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19

Xu, Xiuqin, Hui Xu, Yongheng Shang, Zhiyu Wang, Yang Wang, Liping Wang, Hao Luo, Zhengliang Huang, and Faxin Yu. "The Design and Life Test of a Multifunction Power Amplifier for Space Application." Active and Passive Electronic Components 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/1312721.

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A new multifunction power amplifier (MFPA) is designed and fabricated for the application of point-to-point K-Band backhaul TR module. A DC temperature life test was performed to model the up-limit temperature effect of the designed MFPA under space application. After 240 hours of 100°C life test, the test results illustrate that the designed MFPA has only slight power degradation at the saturation region without change of the linear gain. The general performance of the designed MFPA satisfies the requirement of the application scenario.

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20

Cardinali, Tiziana. "On the structure of the solution set of evolution inclusions with Fréchet subdifferentials." Journal of Applied Mathematics and Stochastic Analysis 13, no. 1 (January 1, 2000): 51–72. http://dx.doi.org/10.1155/s104895330000006x.

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In this paper we consider a Cauchy problem in which is present an evolution inclusion driven by the Fréchet subdifferential o ∂−f of a function f:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone . subdifferential of order two and a perturbation F:I×Ω→Pfc(H) with nonempty, closed and convex values.First we show that the Cauchy problem has a nonempty solution set which is an Rδ-set in C(I,H), in particular, compact and acyclic. Moreover, we obtain a Kneser-type theorem. In addition, we establish a continuity result about the solution-multifunction x→S(x). We also produce a continuous selector for the multifunction x→S(x). As an application of this result, we obtain the existence of solutions for a periodic problem.

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21

Ayoola, E. O., and John O. Adeyeye. "Continuous Interpolation of Solution Sets of Lipschitzian Quantum Stochastic Differential Inclusions." Journal of Applied Mathematics and Stochastic Analysis 2007 (January 23, 2007): 1–12. http://dx.doi.org/10.1155/2007/80750.

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Given any finite set of trajectories of a Lipschitzian quantum stochastic differential inclusion (QSDI), there exists a continuous selection from the complex-valued multifunction associated with the solution set of the inclusion, interpolating the matrix elements of the given trajectories. Furthermore, the difference of any two of such solutions is bounded in the seminorm of the locally convex space of solutions.

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22

MA, Xiaodong, Xin LI, Rui HU, and Manh Ha KHUONG. "Delineation of “production-living-ecological” space for urban fringe based on rural multifunction evaluation." Progress in Geography 38, no. 9 (2019): 1382–92. http://dx.doi.org/10.18306/dlkxjz.2019.09.011.

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23

De Blasi, F. S., and G. Pianigiani. "Baire's category in existence problems for non-convex lower semicontinuous evolution differential inclusions." Proceedings of the Edinburgh Mathematical Society 54, no. 3 (June 15, 2011): 645–67. http://dx.doi.org/10.1017/s0013091509001059.

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AbstractThe existence of mild solutions to the non-convex Cauchy problemis investigated. Here A is the infinitesimal generator of a C0-semigroup in a reflexive and separable Banach space $\mathbb{E}$, F is a Pompeiu–Hausdorff lower semicontinuous multifunction whose values are closed convex and bounded sets with non-empty interior contained in $\mathbb{E}$, and ∂F(t, x(t)) denotes the boundary of F(t, x(t)). Our approach is based on the Baire category method, with appropriate modifications which are actually necessary because, under our assumptions, the underlying metric space that naturally enters in the Baire method, i.e. the solution set of the convexified Cauchy problem (CF), can fail to be a complete metric space.

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24

Papageorgiou, Nikolaos S. "Properties of the trajectories of set-valued integrals in banach spaces." Bulletin of the Australian Mathematical Society 41, no. 2 (April 1990): 271–81. http://dx.doi.org/10.1017/s0004972700018098.

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Let F: T → 2x \ {} be a closed-valued multifunction into a separable Banach space X. We define the sets and We prove various convergence theorems for those two sets using the Hausdorff metric and the Kuratowski-Mosco convergence of sets. Then we prove a density theorem of CF and a corresponding convexity theorem for F(·). Finally we study the “differentiability” properties of K(·). Our work extends and improves earlier ones by Artstein, Bridgland, Hermes and Papageorgiou.

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25

Chen, Tzong H., Larry A. Roe, and Abdollah S. Nejad. "Multifunction droplet imaging and velocimetry system for spray jets." Journal of Propulsion and Power 10, no. 6 (November 1994): 798–803. http://dx.doi.org/10.2514/3.23817.

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26

Park, Sehie. "Extensions of best approximation and coincidence theorems." International Journal of Mathematics and Mathematical Sciences 20, no. 4 (1997): 689–98. http://dx.doi.org/10.1155/s016117129700094x.

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LetXbe a Hausdorff compact space,Ea topological vector space on whichE*separates points,F:X→2Ean upper semicontinuous multifunction with compact acyclic values, andg:X→Ea continuous function such thatg(X)is convex andg−1(y)is acyclic for eachy∈g(X). Then either (1) there exists anx0∈Xsuch thatgx0∈Fx0or (2) there exist an(x0,z0)on the graph ofFand a continuous seminormponEsuch that0<p(gx0−z0)≤p(y−z0) for all y∈g(X). A generalization of this result and its application to coincidence theorems are obtained. Our aim in this paper is to unify and improve almost fifty known theorems of others.

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27

Brinkoe, Rikke, and Susanne Balslev Nielsen. "Multiplying the use of space and what it implies in practice: a cross-case analysis." Journal of Facilities Management 16, no. 2 (May 8, 2018): 197–216. http://dx.doi.org/10.1108/jfm-09-2017-0045.

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Purpose Shared space is a design and engineering concept that gains attention in the context of both regeneration of, for example, former production sites and in the context of designing new building complex(es) with a multifunction strategy. But the practicalities of realising shared space are generally overlooked, despite its importance for the user experience and the degree of success with shared space initiatives. The purpose of this study is to increase the knowledge of shared space and the complex processes involved in realising multiple use of space. Design/methodology/approach To achieve the purpose stated, the paper presents a study of current literature and four cases of shared space, including a commercial building, a public sport facility, a public health centre and an educational building. The study draws on theory from the fields of property management, space management, urban design and architecture, as well as from the social sciences and geography, to provide an as complete picture as possible of the challenges related to shared spaces in practice. Findings The result of the study presented is increased knowledge of the processes involved in sharing space in a facilities management context, supported by specific recommendations regarding attention to issues of territoriality, involvement and practicalities. Originality/value Not much scientific work has been conducted on the topic of shared space in a facilities management context, and this study adds to the so far limited knowledge within the area.

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28

Sehgal, V. M. "A variant of a fixed point theorem of Browder-Fan and Reich." International Journal of Mathematics and Mathematical Sciences 8, no. 4 (1985): 693–96. http://dx.doi.org/10.1155/s0161171285000771.

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LetSbe a convex, weakly compact subset of a locally convex Hausdorff space(E,τ)andf:S→Ebe a continuous multifunction from its weak topologyωtoτ. letρbe a continuous seminorm on(E,τ)and for subsetsA,BofEletp(A,B)=inf{p(x−y):x ϵ A, y ϵ B}. In this paper, sufficient conditions are developed for the existence of anx ϵ Ssatisfyingp(x,fx)=p(fx,S). The result is then used to prove several fixed point theorems.

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SENGUPTA, A. "TOWARD A THEORY OF CHAOS." International Journal of Bifurcation and Chaos 13, no. 11 (November 2003): 3147–233. http://dx.doi.org/10.1142/s021812740300851x.

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This paper formulates a new approach to the study of chaos in discrete dynamical systems based on the notions of inverse ill-posed problems, set-valued mappings, generalized and multivalued inverses, graphical convergence of a net of functions in an extended multifunction space [Sengupta & Ray, 2000] and the topological theory of convergence. Order, chaos and complexity are described as distinct components of this unified mathematical structure that can be viewed as an application of the theory of convergence in topological spaces to increasingly nonlinear mappings, with the boundary between order and complexity in the topology of graphical convergence being the region in (Multi(X)) that is susceptible to chaos. The paper uses results from the discretized spectral approximation in neutron transport theory [Sengupta, 1988, 1995] and concludes that the numerically exact results obtained by this approximation of the Case singular eigenfunction solution is due to the graphical convergence of the Poisson and conjugate Poisson kernels to the Dirac delta and the principal value multifunctions respectively. In (Multi(X)), the continuous spectrum is shown to reduce to a point spectrum, and we introduce a notion of latent chaotic states to interpret superposition over generalized eigenfunctions. Along with these latent states, spectral theory of nonlinear operators is used to conclude that nature supports complexity to attain efficiently a multiplicity of states that otherwise would remain unavailable to it.

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Palmucci, Michela, and Francesca Papalini. "Periodic and boundary value problems for second order differential inclusions." Journal of Applied Mathematics and Stochastic Analysis 14, no. 2 (January 1, 2001): 161–82. http://dx.doi.org/10.1155/s1048953301000120.

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In this paper we study differential inclusions with boundary conditions in which the vector field F(t,x,y) is a multifunction with Caratheodory type conditions. We consider, first, the case which F has values in ℝ and we establish the existence of extremal solutions in the order interval determined by the lower and the upper solution. Then we prove the existence of solutions for a Dirichlet problem in the case in which F takes their values in a Hilbert space.

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31

Ahmed, Sajid, and Mohamed Alouini. "A survey of correlated waveform design for multifunction software radar." IEEE Aerospace and Electronic Systems Magazine 31, no. 3 (March 2016): 19–31. http://dx.doi.org/10.1109/maes.2016.150051.

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32

Huang, Gan, Zhien Xian, Zhiguo Zhang, Shunchong Li, and Xiangyang Zhu. "Divide-and-conquer muscle synergies: A new feature space decomposition approach for simultaneous multifunction myoelectric control." Biomedical Signal Processing and Control 44 (July 2018): 209–20. http://dx.doi.org/10.1016/j.bspc.2018.04.011.

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33

Hayashi, Miwa, Valerie Huemer, Fritz Renema, Steve Elkins, Jeffrey W. McCandless, and Robert S. McCann. "Effects of the Space Shuttle Cockpit Avionics Upgrade on Crewmember Performance and Situation Awareness." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 49, no. 1 (September 2005): 54–58. http://dx.doi.org/10.1177/154193120504900113.

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The Space Shuttle Cockpit Avionics Upgrade (CAU) is a proposed cockpit display upgrade designed to address human-factors usability issues of the current suite of cockpit displays, Multifunction Electronic Display System (MEDS). Unlike MEDS, CAU consolidates information in a task-oriented manner, rather than a data-source-oriented manner. CAU also makes greater use of color coding and graphical depictions in systems status presentations. An ascent-phase operation simulation study showed that CAU formats significantly improved the participants' abort-related situation awareness. Participants also performed certain malfunction management procedures more accurately when CAU was used. The Space Shuttles are now scheduled to be retired by 2010 without incorporating CAU; however, the results of the present study suggest that the human-centered design concepts are effective and can be extended to the cockpit interface design of NASA's next generation Crew Exploration Vehicle.

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Hu, Hang. "Aspects of the Subarrayed Array Processing for the Phased Array Radar." International Journal of Antennas and Propagation 2015 (2015): 1–21. http://dx.doi.org/10.1155/2015/797352.

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This paper gives an overview on the research status, developments, and achievements of subarrayed array processing for the multifunction phased array radar. We address some issues concerning subarrayed adaptive beamforming, subarrayed fast-time space-time adaptive processing, subarray-based sidelobe reduction of sum and difference beam, subarrayed adapted monopulse, subarrayed superresolution direction finding, subarray configuration optimization in ECCM (electronic counter-countermeasure), and subarrayed array processing for MIMO-PAR. In this review, several viewpoints relevant to subarrayed array processing are pointed out and the achieved results are demonstrated by numerical examples.

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Augustinaitė, Dalia. "CONTEMPORARY TYPOLOGIC ALTERNATIVES OF BURYING AND THE PRINCIPLES OF BURYING ARCHITECTURE FORMATION / ŠIUOLAIKINĖS LAIDOJIMO TIPOLOGINĖS ALTERNATYVOS IR ARCHITEKTŪROS FORMAVIMO PRINCIPAI." Mokslas – Lietuvos ateitis 8, no. 1 (April 28, 2016): 139–47. http://dx.doi.org/10.3846/mla.2016.876.

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The context of the concept of modern burial traditions is an inseparable from religion, which is a base to convey natural customs of the unique culture using numinous values. In the sense of allegory, burial character conveys immortality vision. Therefore there are many variations of interpretation in different cultures at a different time. A fundamental change of burial typology and architecture happens due to the changes of the life style. Scientific advance is the most fateful thing, which changes the attitude towards the functionality as well as to creativity in the burial sector. Due to the postmodernism, an exceptional, relatively separate form of the burial – virtual information bases of the dead, also actual as an alternative direction of the applied art to visual expression, have been formed on the basis of digital technologies. Essential objects of today‘s burial space topic are identified as a holistic optimisation of the consumerism, full-fledged integration of burial spaces in modern urbanistic structures and formation of multicultures. The solutions of this topic usually come through the multifunction of burial territories, burial nature and multifunction of architecture, as well as universal application, the priority of stable creation of the environment, including the search of the new typological alternatives of the burial. The components of burial space formation, significant to Lithuania, more or less match the global situation. Therefore, it is favourable for the state to take more objective account of the viable long-term juridical base and policy of burial space planning, the strategy of which would not lack of national features of heritage protection, however, using architecture as a means, would convey memorial persistent value and significance of the commemoration of the dead in a modern and creative way. Šiame straipsnyje atskleidžiami kone dažniausiai taikytini šiuolaikinių laidojimo alternatyvų tipai ir jų vystymosi perspektyvoje tendencijos, aktualios architektūros formavimo principams, įskaitant ir kūrybingumą bei ryšį su Religija. Ateities kapinių vizija analizuojama siejant su laidojimo pobūdžiu, racionaliomis mirties įprasminimo ir laidojimo zonų integravimo urbanistinėje erdvėje galimybėmis bei velionio įamžinimu. Nagrinėjamos sritys, reikšmingos holistinei globaliai laidojimo erdvių problematikai, yra reikšmingos Lietuvos Respublikos religiniam diskursui pagal galiojančius nacionalinius dokumentus religinės situacijos bei įstatyminės bazės apimtyje.

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36

Nesterov, B. F., V. M. Chmyrev, V. S. Shutov, and A. M. Alimov. "AVIS Space Experiment: Testing of Technologies for the Development and Use of Multifunction Pico- and Nanosatellite Platforms." Seismic Instruments 54, no. 6 (December 2018): 662–68. http://dx.doi.org/10.3103/s0747923918060099.

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Cмірнов, О. Л., О. А. Наконечний, and А. В. Бологов. "Formation of the measuring channel of multifunction phased array radar in tracking mode." Наука і техніка Повітряних Сил Збройних Сил України, no. 4(41), (October 25, 2020): 102–5. http://dx.doi.org/10.30748/nitps.2020.41.12.

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In the article is considered the principle of the formation of the measuring channel for multifunction phased array radar in tracking mode using one of the short-range air defense radar system as an example. A new approach to the problem is offered, which is based on considering the change of noise levels both in the measuring channel and in the dynamic model of the target being tracked and is adaptive to its motion in space. The number of simultaneously monitored targets is calculated under the condition of application of the proposed principle of channel formation. The efficiency of the obtained solutions is confirmed. The conclusion is made about the expediency of application of this method in the existing air defense systems, the modernization of which is currently underway.

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38

Chen, Li Dong, Feng Yong Du, Feng Bao Du, and Wei Zhi Wang. "Design on Multifunctional Water-Saving Mulch Planter." Advanced Materials Research 912-914 (April 2014): 628–32. http://dx.doi.org/10.4028/www.scientific.net/amr.912-914.628.

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In order to improve the seeding efficiency and quality of water-saving mulch planters, a kind of multifunction mulch planter with laying irrigation tape was designed based on duckbill type precision seed metering device. It broke the pattern of single planting machine and realized duplex joint seeding operations. The seeding and film mulching performance were also improved by optimizing the seed metering device and film laying device. The planter has the characteristics of simple operation, less investment, reliable performance and good film-mulching result. The result of field test showed that: the average seed space is 150mm; the working speed is 4.3km/h; the pass rate of grain distance is 96.7%; the vacancy rate is 0.8%, the pass rate of seed number is 99.2%. So the sowing quality of the planter is well.

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39

Garg, Medha, and Sumit Chandok. "Existence of Picard operator and iterated function system." Applied General Topology 21, no. 1 (April 3, 2020): 57. http://dx.doi.org/10.4995/agt.2020.11992.

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<p>In this paper, we define weak θ<sub>m</sub>− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness of attractor for a weak θ<sub>m</sub>− iterated multifunction system. Moreover, we introduce (α, β, θ<sub>m</sub>)− contractions using cyclic (α, β)− admissible mappings and obtain some results for such class of mappings without the continuity of the operator. We also provide an illustrative example to support the concepts and results proved herein.</p>

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Tai, De Yi, and Fu Yuan Xu. "Cloud Manufacturing Based on Cooperative Concept of SDN." Advanced Materials Research 482-484 (February 2012): 2424–29. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.2424.

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As a new service-oriented manufacturing paradigm, cloud manufacturing (CMfg) was proposed to realize the added-value and on-demand use of manufacturing resource and ability. Compared with cloud computing, the complexity of CMfg cooperation was analyzed. Supply and demand network of enterprises with multifunction and opening characteristics (SDN) was introduced as a new paradigm of manufacturing cooperation. Dynamic, diversity, fully open and inclusive cooperation are the key concept of SDN. The CMfg cooperation based on SDN was analyzed, from three-dimension of lever, function and space. A model of cooperation-oriented CMfg was built. Resource-oriented, service-oriented and innovation-oriented cooperation were proposed to prompt the implementation and the platform building of CMfg, from the business cooperation perspective.

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41

Yalikun, Yaxiaer, Yoshitake Akiyama, Takayuki Hoshino, and Keisuke Morishima. "A Bio-Manipulation Method Based on the Hydrodynamic Force of Multiple Microfluidic Streams." Journal of Robotics and Mechatronics 25, no. 4 (August 20, 2013): 611–18. http://dx.doi.org/10.20965/jrm.2013.p0611.

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This paper proposes a multiple microfluidic streambased manipulation (MMSM) system for bio-objects. It uses micro hydrodynamics and lab on chip (LOC) technology. Our method can implement the functions of micro manipulation and micro assembly of bio-objects in an open space without contact. Compared to other conventional bio-micro-manipulation and assembly methods, this system manipulates micro objects by controlling multiple microfluidic streams onto them from various directions. The advantages of this method are that it performs open space, multifunction, multi-scale, multi-degree-of-freedom, and non-invasive 3D manipulation. These microfluidic streams are generated simultaneously from multiple orifices. By regulating the parameters of the microfluidic stream, such as the position and number of operating orifices and the flow rate, the direction and velocity of the object can be controlled. To verify this principle, we design an open-space fluidic system for on-chip manipulation and calculated velocity and direction of the microfluidic stream using CFD simulation. Then the prototype microchip with an array of nine orifices is fabricated from glass. In experiments, demonstrations of rectilinear motion of a single cell andmicro particle are observed. The results presented in this paper show that this MMSM is capable of biomicromanipulation and micro assembly of bio-objects.

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Srinivasan, P. S., and P. Veeramani. "Some results on best proximity pair theorems." Applied General Topology 3, no. 1 (April 1, 2002): 25. http://dx.doi.org/10.4995/agt.2002.2109.

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<p>Best proximity pair theorems are considered to expound the sufficient conditions that ensure the existence of an element x<sub>o</sub> ϵ A, such that</p> <p>d(x<sub>o</sub>; T x<sub>o</sub>) = d(A;B)</p> <p>where T : A 2<sup>B</sup> is a multifunction defined on suitable subsets A and B of a normed linear space E. The purpose of this paper is to obtain best proximity pair theorems directly without using any multivalued fixed point theorem. In fact, the well known Kakutani's fixed point theorem is obtained as a corollary to the main result of this paper.</p>

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Castaing, Charles, C. Godet-Thobie, Phan D. Phung, and Le X. Truong. "On fractional differential inclusions with Nonlocal boundary conditions." Fractional Calculus and Applied Analysis 22, no. 2 (April 24, 2019): 444–78. http://dx.doi.org/10.1515/fca-2019-0027.

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Abstract The main purpose of this paper is to study a class of boundary value problem governed by a fractional differential inclusion in a separable Banach space E $$\begin{array}{} \displaystyle \left\{ \begin{array}{lll} D ^\alpha u(t) +\lambda D^{\alpha-1 }u(t) \in F(t, u(t), D ^{\alpha-1}u(t)), \hskip 2pt t \in [0, 1] \\ I_{0^+}^{\beta }u(t)\left\vert _{t=0}\right. = 0, \quad u(1)=I_{0^+}^{\gamma }u(1) \end{array} \right. \end{array}$$ in both Bochner and Pettis settings, where α ∈ ]1, 2], β ∈ [0, 2 – α], λ ≥ 0, γ > 0 are given constants, Dα is the standard Riemann-Liouville fractional derivative, and F : [0, 1] × E × E → 2E is a closed valued multifunction. Topological properties of the solution set are presented. Applications to control problems and subdifferential operators are provided.

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Yang, Ming-ge, and Yi-fan Xu. "Implicit Multifunction Theorems in Banach Spaces." Journal of Applied Mathematics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/892641.

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This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit multifunctions in general Banach spaces. The basic tools of our analysis involve the Ekeland variational principle, the Clarke subdifferential, and the Clarke coderivative.

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ANDRES, JAN, and JIŘÍ FIŠER. "METRIC AND TOPOLOGICAL MULTIVALUED FRACTALS." International Journal of Bifurcation and Chaos 14, no. 04 (April 2004): 1277–89. http://dx.doi.org/10.1142/s021812740400979x.

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Applying metric (Banach-like) and topological (Schauder-like) fixed-point theorems, the existence of metric and topological fractals is respectively proved as (sub)invariant subsets of the Hutchinson–Barnsley map generated by a multifunction system. Weakly contractive and compact multifunction systems are considered, but systems of more general multifunctions are discussed as well. The notions of hyperspaces and AR-spaces are employed for this goal.

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Papadopoulos, Basil K. "A topological lattice on the set of multifunctions." International Journal of Mathematics and Mathematical Sciences 12, no. 4 (1989): 665–68. http://dx.doi.org/10.1155/s0161171289000815.

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Let X be a Wilker space and M(X,Y) the set of continuous multifunctions from X to a topological space Y equipped with the compact-open topology. Assuming that M(X,Y) is equipped with the partial order⊂we prove that(M(X,Y),⊂)is a topological V-semilattice. We also prove that if X is a Wilker normal space and U(X,Y) is the set of point-closed upper semi-continuous multifunctlons equipped with the compact-open topology, then(U(X,Y),⊂)is a topological lattice.

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Tripathy, Binod Chandra, and Shyamal Debnath. "Fuzzy $m$-structures $m$-open multifunctions and bitopological spaces." Boletim da Sociedade Paranaense de Matemática 37, no. 4 (January 9, 2018): 119–28. http://dx.doi.org/10.5269/bspm.v37i4.35152.

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In this paper we study different weak forms of open multifunctionsfrom a fuzzy topological space into a fuzzy $m$-space. Further we study the same from a fuzzy bitopological space into a fuzzy bitopological spaces.

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48

Park, Sehie. "Best approximation theorems for composites of upper semicontinuous maps." Bulletin of the Australian Mathematical Society 51, no. 2 (April 1995): 263–72. http://dx.doi.org/10.1017/s000497270001409x.

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Let (E, τ) be a Hausdorff topological vector space and (X, ω) a weakly compact convex subset of E with the relative weak topology ω. Recently, there have appeared best approximation and fixed point theorems for convex-valued upper semicontinuous maps F: (X, ω) → 2(E, τ) whenever (E, τ) is locally convex. In this paper, these results are extended to a very broad class of multifunctions containing composites of acyclic maps in a topological vector space having sufficiently many linear functionals. Moreover, we also obtain best approximation theorems for classes of multifunctions defined on approximatively compact convex subsets of locally convex Hausdorff topological vector spaces or closed convex subsets of Banach spaces with the Oshman property.

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Amlinsky, Lev. "Library building space design for current information environment." Scientific and Technical Libraries, no. 2 (February 1, 2016): 83–88. http://dx.doi.org/10.33186/1027-3689-2016-2-83-88.

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Relations between society information infrastructure and library space design are analyzed. The transformation of these relations is defined through the transformation of the idea of libraries as a book space towards the concept of libraries for users and librarians. Interaction between libraries and other organization in holding collaborative activities and forming multifunctional spaces in the general structure of library buildings is examined. The interesting solution of the multifunctional library space crystallized in the building of Belarus National Library (Minsk) is explored.

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MUKHERJEE, M. N., and S. RAYCHAUDHURI. "A NEW TYPE OF CLUSTER SETS AND ITS APPLICATIONS." Tamkang Journal of Mathematics 26, no. 4 (December 1, 1995): 327–36. http://dx.doi.org/10.5556/j.tkjm.26.1995.4413.

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In this paper we introduce the concept of a new type of cluster sets, termed $\delta$-cluster sets, of functions and multifunctions between topological spaces. Expressions of such sets are found and multifunctions with $\delta$-closed graphs are characterized. Also the behaviour of $\delta$-cluster sets toward a-continuity of a func- tion is observed. Finally as applications, we find new characterizations of almost regularity, near compactness and near Lindelofness of a topological space in terms of $\delta$-cluster sets of suitable multifunctions.

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