• Title/Summary/Keyword: duality.

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ADMISSIBLE INERTIAL MANIFOLDS FOR INFINITE DELAY EVOLUTION EQUATIONS

  • Minh, Le Anh
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.669-688
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    • 2021
  • The aim of this paper is to prove the existence of an admissible inertial manifold for mild solutions to infinite delay evolution equation of the form $$\{{\frac{du}{dt}}+Au=F(t,\;u_t),\;t{\geq}s,\\\;u_s({\theta})={\phi}({\theta}),\;{\forall}{\theta}{\in}(-{{\infty}},\;0],\;s{\in}{\mathbb{R}},$$ where A is positive definite and self-adjoint with a discrete spectrum, the Lipschitz coefficient of the nonlinear part F may depend on time and belongs to some admissible function space defined on the whole line. The proof is based on the Lyapunov-Perron equation in combination with admissibility and duality estimates.

A MODEL OF RETIREMENT AND CONSUMPTION-PORTFOLIO CHOICE

  • Junkee Jeon;Hyeng Keun Koo
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.4
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    • pp.1101-1129
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    • 2023
  • In this study we propose a model of optimal retirement, consumption and portfolio choice of an individual agent, which encompasses a large class of the models in the literature, and provide a methodology to solve the model. Different from the traditional approach, we consider the problems before and after retirement simultaneously and identify the difference in the dual value functions as the utility value of lifetime labor. The utility value has an option nature, namely, it is the maximized value of choosing the retirement time optimally and we discover it by solving a variational inequality. Then, we discover the dual value functions by using the utility value. We discover the value function and optimal policies by establishing a duality between the value function and the dual value function. The model and approach offer a significant advantage for computation of optimal policies for a large class of problems.

George Du Maurier's Trilby: Female Sexuality as an Erotic Organizer

  • Park, Doohyun
    • Journal of English Language & Literature
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    • v.56 no.6
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    • pp.1105-1117
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    • 2010
  • This study traces out female identity and sexuality in George Du Maurier's novel, Trilby. The heroine's sexuality in this novel plays some interesting roles invoking both male gaze and male homosocial desire. There seems to have been lots of debates about female subjectivity and gender relations in the Victorian age. George Du Maurier tries to redefine female identity which had been divided into two aspects in the age: angel and demon. When he describes Trilby's identity, the fixed duality as fallen, demonic and autonomous women might have been considerably fluid. Rather than returning to the old boundaries of female subjectivity and identity through his heroine, he unwittingly describes the female role as an erotic organizer. As Du Maurier shows that Trilby's identity plays a conduit role for male homosocial desire, he created the tension between masculinity and femininity and revealed a changing relationship between female nature and male culture as well. Furthermore, when George Du Maurier in his novel opened a new possibility for an erotic organizer through his heroin, Trilby, he seems to have represented the more fluid female role in the patriarchal culture that asked only some fixed roles for women.

Evaluation of Transmission Quality for Stream-type traffics on Very High-speed Network (초고속 네트워크 상에서의 스트림형 트래픽의 전송 품질 평가)

  • Lee Yang Min;Lee Jae Kee
    • The KIPS Transactions:PartC
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    • v.11C no.6 s.95
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    • pp.773-780
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    • 2004
  • In this paper, we measured the transmission characteristics of a MPEG2 and a DV that are typical stream-type traffics on the very high speed network and carried out the subjective evaluation of end users for these stream-types. In the subjective evaluation of these stream-type data, video quality evaluation is based on ITU-R BT.500-1 and audio qualify evaluation is based on ITU-R BS.1116-1. Also experiment method to acquire the subjective evaluation of end users is selected the 5 grades method of DSCQS. Under the same condition, in case of MPEG2, the evaluation grade of the video and the audio duality becomes deteriorated at the load rate of $54\%$ that network traffic increases rapidly. In case of DV the evaluation grade of video duality began decrease, but the degree of the change was slower than MPEG2 at the same load rate. Moreover the subjective evaluation grade of end users was superior to load rate $70\%$ in case of DV audio quality, traffic and QoS control that consider the subjective evaluation of end user is required. Conclusively, in case of MPEG2, we can perform traffic control that only use the actual measurement values on the network. However in case of DV, we can perform traffic control that the actual measurement values on the network and the subjective evaluation of end users are considered at the same time.

Joint Base Station and Relay Precoder Design with Relay Local Channel State Information for Multi-relay Aided Multi-user All-MIMO System (다중 릴레이, 다중 사용자 All-MIMO 시스템에서 릴레이 지역 채널 정보를 사용한 기지국 및 릴레이 전처리기 공동 설계 기법)

  • Cho, Young-Min;Jang, Seung-Jun;Kim, Dong-Ku
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.6A
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    • pp.405-419
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    • 2012
  • In this paper, we propose a joint base station(BS) and relay precoders design in multi-relay aided multi-user all-multiple-input multiple-output(MIMO) system. The design criterion is to minimize user sum mean square error(SMSE) with relay sum power constraint(RSPC) where only local channel state information(CSI)s are available at relays. Local CSI at a relay is defined as the CSI of the channel which the relay itself accesses, out of among all the 1st hop and the 2nd hop channel in the system. With BS precoder structure which is concatenated with block diagonalization(BD) precoder, each relay can determine its own precoder using only local CSI. Proposed scheme is based on sequential iteration of two stages; stage 1 determines BS precoder and relay precoders jointly with SMSE duality, and stage 2 determines user receivers. Proposed scheme can be demonstrated theoretically to be always converge. We verify that proposed scheme outperforms simple amplify-and-forward(SAF), MMSE relay, and proposed schemes in [1] in terms of both SMSE and sum-rate performances.

The Effects of TMT's Cognitive Traits and CEO Factors on R&D Investment (최고경영진의 인지적 특성과 최고경영자 특성이 R&D투자에 미치는 영향)

  • Hyejin Cho;Gahye Hong
    • Knowledge Management Research
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    • v.24 no.2
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    • pp.65-85
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    • 2023
  • This paper investigates how TMT's cognitive traits affect R&D investment. Drawing on the attention-based view, we propose that TMT's future orientation and risk preference increase the level of R&D investment. As R&D activities have long-term goal of generating proprietary knowledge, it is important to understand how TMT's attention toward future and risk affect R&D investment. Also, we test the moderating effect of CEO duality on R&D investment. As the CEO plays a leadership role in the TMT, if the CEO's decision-making authority is highly concentrated, the impact of TMT on R&D may decrease. We measure CEO duality and CEO ownership stake as CEO characteristics. Based on a sample of 837 U.S. manufacturing firms, the results show that when TMT has a higher tolerance for risk and higher future orientation, R&D intensity increases. However, when CEO also serves as chairman of board and CEO has higher ownership, TMT's influence on R&D investment weakens. This implies that TMT and CEO has power dynamic that can change based on CEO power supporting status. Overall, it suggests that TMT's attention and CEO power are important factors to improve longer-term knowledge accumulation of firm.

On the Strong Law of Large Numbers for Arbitrary Random Variables

  • Nam, Eun-Woo
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.05a
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    • pp.49-54
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    • 2002
  • For arbitrary random variables {$X_{n},n{\geq}1$}, the order of growth of the series. $S_{n}\;=\;{\sum}_{j=1}^n\;X_{j}$ is studied in this paper. More specifically, when the series S_{n}$ diverges almost surely, the strong law of large numbers $S_{n}/g_{n}^{-1}$($A_{n}{\psi}(A_{n}))\;{\rightarrow}\;0$ a.s. is constructed by extending the results of Petrov (1973). On the other hand, if the series $S_{n}$ converges almost surely to a random variable S, then the tail series $T_{n}\;=\;S\;-\;S_{n-1}\;=\;{\sum}_{j=n}^{\infty}\;X_{j}$ is a well-defined sequence of random variables and converges to 0 almost surely. For the almost surely convergent series $S_{n}$, a tail series strong law of large numbers $T_{n}/g_{n}^{-1}(B_{n}{\psi}^{\ast}(B_{n}^{-1}))\;{\rightarrow}\;0$ a.s., which generalizes the result of Klesov (1984), is also established by investigating the duality between the limiting behavior of partial sums and that of tail series. In particular, an example is provided showing that the current work can prevail despite the fact that previous tail series strong law of large numbers does not work.

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A Study on Interior Design Process by approaching Typological Method (유형학적 접근방식에 의한 실내디자인 과정에 관한 연구 (II))

  • 한경희;이선민
    • Korean Institute of Interior Design Journal
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    • no.21
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    • pp.165-172
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    • 1999
  • For the useful method capable of modern expression on traditional residence architecture, a study was performed on the methodological establishment and possibility of typological method could be examinated to interior design process by typological method. First of all, through the establishment verbal of our Korean traditional architecture and further investigation of environmental and cultural idealogical facts, it could be extracted from natural instinct, duality, continuance, flexibility and transitiov. In second process, based on these results, it could be framed and described the individual typological language and, for the sake of drawing for visual and spatial typology, it was made by sketch in terms and view of possibile guidance of prototype, transforming and application method. from these results of investigated sketches, it cold be used for criteria of application method as the parts of visual and spatial typological elements to have an applicable expression of it/s traditionality. Based on above facts, for the subjects of spatial system, form & shape system, circulation system, order system, decoration system, color & material system in interior design fields, we cold propose the practical possibility through the consideration of application method for built-in meaning that could be adaptable for the interior design practices. These facts were extracted from the based on visual & spatial typology, as above mentiov. Also, through preparing and suggesting the criteria of evaluation and measurement of design quality , we could propose the applicable methodology for further & basically Korean traditional embodiment.

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Block Diagonal Decomposition Using Uniform Channel Decomposition for Multicell MIMO Broadcast Channels (다중 셀 MIMO 하향채널에서의 UCD를 이용한 블록 대각 분해)

  • Park, Yu-han;Park, Daeyoung
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.40 no.12
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    • pp.2331-2342
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    • 2015
  • In this paper, we design non-linear transmitter and receiver using a uniform channel decomposition (UCD) to take account of inter-cell interference in multi-cell downlink systems. The designed UCD scheme brings forth the same SINR for all sub-channels in each cell. It provides great convenience to modulation/coding process and achieves the maximum diversity gain. The simulation results confirm that it exhibits a lower BER than the conventional method.

Effect of vacuum on amplitude and phase fluctuation (빛의 세기 및 위상 요동에 나타나는 진공 효과)

  • 노재우;김기식
    • Korean Journal of Optics and Photonics
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    • v.7 no.3
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    • pp.219-226
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    • 1996
  • The wave-particle duality of light plays important role in quantum optics and it often produces a result different from that of classical wave theory. In this paper, we study the intensity and phase fluctuation of light which show certain change after light goes through a beam splitter, and show the difference between the classical and quantum theory. We show quantitatively that the uncertainty of phase increases at the output of a beam splitter due to the contribution of vacuum fluctuation, even though classical theory predicts no such change in phase fluctuation. The expectation values of normally ordered operators are introduced where the vacuum effect is naturally eliminated, and it is shown that the classical informations are recovered in this way. Analysis on the expectation values produces a distinction between measured phase and inferred phase values and they are related through the contribution of vacuum field.

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