• Title/Summary/Keyword: Complex Functions

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ISOMETRIES ON THE SPACE OF CONTINUOUS FUNCTIONS WITH FINITE CODIMENSIONAL RANGE

  • HEDAYATIAN, K.
    • Honam Mathematical Journal
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    • v.27 no.4
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    • pp.631-639
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    • 2005
  • For compact Hausdorff spaces X and Y let C(X) and C(Y) denote the complex Banach spaces of complex valued continuous functions on X and Y, respectively. Also let $T:C(X){\rightarrow}C(Y)$ be a linear isomerty. Necessary and sufficient conditions are given such that range of T has finite codimension.

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Neighborhood Properties for Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients

  • Bulut, Serap
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.211-220
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    • 2014
  • In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we prove several inclusion relations associated with the (n, ${\delta}$)-neighborhoods of certain subclasses of analytic functions of complex order, which are introduced here by means of the Al-Oboudi derivative. Several special cases of the main results are mentioned.

Analysis of Propagation Properties in Junctions between Straight and Bent Waveguides Using Cylindrical Functions of Complex Order

  • Rashid, Mohd-Abdur;Masao Kodama
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.711-714
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    • 2002
  • This paper presents a method to determine the propagation properties in the junctions between straight and bent waveguides using cylindrical functions of complex order. The proposed method was succeeded by developing the method of numerical calculation of cylindrical functions of complex order. As a result, we numerically calculate the reflection and transmission coefficients in the junctions in various situations, and we compare these results with the results by the perturbation method.

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Transfer function approximation of motion-induced aerodynamic forces with rational functions

  • Kirch, Arno;Peil, Udo
    • Wind and Structures
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    • v.14 no.2
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    • pp.133-151
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    • 2011
  • For a detailed investigation of the dynamic behaviour of slender bridges under wind action especially the motion-induced fluid forces should be available not only for harmonic motions but also for more general ones. If linear transfer behaviour is assumed, the force-displacement relation for almost arbitrary motions can be handled in the frequency domain using aerodynamic transfer functions. In aerospace engineering as well as in bridge engineering, these functions are usually approximated by special kinds of complex-valued rational functions which depend on complex frequencies. The quality of this approximation is evaluated for several bridge cross sections in this article. It is shown that rational functions are for some sections scarcely suitable to realistically represent the transfer behaviour of motion-induced aerodynamic forces for arbitrarily complex frequencies.

HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS

  • Han, Chong-Kyu;Kim, Hye-Seon
    • Journal of the Korean Mathematical Society
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    • v.49 no.2
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    • pp.379-394
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    • 2012
  • Given an almost complex structure ($\mathbb^{C}^m$, J), $m\geq2$, that is defined by setting $\theta^{\alpha}=dz^{\alpha}+a_{\beta}^{\alpha}d\bar{z}^{\beta}$, ${\alpha}=1,\ldots$,m, to be (1, 0)-forms, we find conditions on ($a_{\beta}^{\alpha}$) for the existence of holomorphic functions an classify the almost complex structures by type ($\nu$,q). Then we determine types for several examples in $\mathbb{C}^2$ and $\mathbb{C}^3$ including the natural almost complex structure on $S^6$.

ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF GENERAL SUBCLASSES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER INVOLVING SUBORDINATION

  • Altinkaya, Sahsene;Yalcin, Sibel
    • Honam Mathematical Journal
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    • v.40 no.3
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    • pp.391-400
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    • 2018
  • The object of this paper to construct a new class $$A^m_{{\mu},{\lambda},{\delta}}({\alpha},{\beta},{\gamma},t,{\Psi})$$ of bi-univalent functions of complex order defined in the open unit disc. The second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass are determined. Several special consequences of the results are also indicated.

The Effect of a Complex Rehabilitation Intervention Program on Cognitive and Hand Functions in Patients with Mild Cognitive Impairment and Dementia (복합재활중재 프로그램이 경도인지저하와 치매환자의 인지와 손기능에 미치는 연구)

  • Chong, Bokhee
    • Journal of The Korean Society of Integrative Medicine
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    • v.4 no.3
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    • pp.49-59
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    • 2016
  • Purpose : The study was aimed to evaluate the improvement of cognitive and hand functions after the application of a complex rehabilitation intervention program on patients with mild cognitive impairment (MCI) and dementia who were living a regional community from. Methods : Subjects who were living in a regional sanatorium or who were outpatients of a community health center were enrolled from 2012. 2 to 2013.2 All subjects were enforced 8 cycles of a complex rehabilitation intervention program including RON dance, physical activity using therabands, reality awareness training, space retrieval training and handicraft activities. Results : There were significant improvement in LOTCA-G cognitive function and JTHFT hand function test after the application of a complex rehabilitation intervention program. Conclusion : The result shows a significant improvement in cognitive and hand functions after the application of a complex rehabilitation intervention program in patients with MCI and dementia. Therefore the authors suggest the vast studies of the cognitive function program development and hand function vitalization by the application of a complex rehabilitation intervention program.

GENETIC PROGRAMMING OF MULTI-AGENT COOPERATION STRATEGIES FOR TABLE TRANSPORT

  • Cho, Dong-Yeon;Zhang, Byoung-Tak
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.06a
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    • pp.170-175
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    • 1998
  • Transporting a large table using multiple robotic agents requires at least two group behaviors of homing and herding which are to bo coordinated in a proper sequence. Existing GP methods for multi-agent learning are not practical enough to find an optimal solution in this domain. To evolve this kind of complex cooperative behavior we use a novel method called fitness switching. This method maintains a pool of basis fitness functions each of which corresponds to a primitive group behavior. The basis functions are then progressively combined into more complex fitness functions to co-evolve more complex behavior. The performance of the presented method is compared with that of two conventional methods. Experimental results show that coevolutionary fitness switching provides an effective mechanism for evolving complex emergent behavior which may not be solved by simple genetic programming.

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