• Title/Summary/Keyword: partially ordering

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THE ITERATION METHOD OF SOLVING A TYPE OF THREE-POINT BOUNDARY VALUE PROBLEM

  • Liu, Xiping;Jia, Mei
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.475-487
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    • 2009
  • This paper studies the iteration method of solving a type of second-order three-point boundary value problem with non-linear term f, which depends on the first order derivative. By using the upper and lower method, we obtain the sufficient conditions of the existence and uniqueness of solutions. Furthermore, the monotone iterative sequences generated by the method contribute to the minimum solution and the maximum solution. And the error estimate formula is also given under the condition of unique solution. We apply the solving process to a special boundary value problem, and the result is interesting.

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A Dynamic Programming Approach for Emergency Vehicle Dispatching Problems

  • Choi, Jae Young;Kim, Heung-Kyu
    • Journal of the Korea Society of Computer and Information
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    • v.21 no.9
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    • pp.91-100
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    • 2016
  • In this research, emergency vehicle dispatching problems faced with in the wake of massive natural disasters are considered. Here, the emergency vehicle dispatching problems can be regarded as a single machine stochastic scheduling problems, where the processing times are independently and identically distributed random variables, are considered. The objective of minimizing the expected number of tardy jobs, with distinct job due dates that are independently and arbitrarily distributed random variables, is dealt with. For these problems, optimal static-list policies can be found by solving corresponding assignment problems. However, for the special cases where due dates are exponentially distributed random variables, using a proposed dynamic programming approach is found to be relatively faster than solving the corresponding assignment problems. This so-called Pivot Dynamic Programming approach exploits necessary optimality conditions derived for ordering the jobs partially.

EXTENSIONS OF ORDERED FIXED POINT THEOREMS

  • Sehie Park
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.831-850
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    • 2023
  • Our long-standing Metatheorem in Ordered Fixed Point Theory is applied to some well-known order theoretic fixed point theorems. In the first half of this article, we introduce extended versions of the Zermelo fixed point theorem, Zorn's lemma, and the Caristi fixed point theorem based on the Brøndsted-Jachymski principle and our 2023 Metatheorem. We show some of their applications to other fixed point theorems or theorems on the existence of maximal elements in partially ordered sets. In the second half, we collect and improve order theoretic fixed point theorems in the collection of Howard-Rubin in 1991 and others. In fact, we improve or extend several ordering principles or fixed point theorems due to Brézis-Browder, Brøndsted, Knaster-Tarski, Tarski-Kantorovitch, Turinici, Granas-Horvath, Jachymski, and others.

First-principle Study for AlxGa1-xP and Mn-doped AlGaP2 Electronic Properties

  • Kang, Byung-Sub;Song, Kie-Moon
    • Journal of Magnetics
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    • v.20 no.4
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    • pp.331-335
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    • 2015
  • The ferromagnetic and electronic structure for the $Al_xGa_{1-x}P$ and Mn-doped $AlGaP_2$ was studied by using the self-consistent full-potential linear muffin-tin orbital method. The lattice parameters of un-doped $Al_xGa_{1-x}P$ (x = 0.25, 0.5, and 0.75) were optimized. The band-structure and the density of states of Mn-doped $AlGaP_2$ with or without the vacancy were investigated in detail. The P-3p states at the Fermi level dominate rather than the other states. Thus a strong interaction between the Mn-3d and P-3p states is formed. The ferromagnetic ordering of dopant Mn with high magnetic moment is induced due to the (Mn-3d)-(P-3p)-(Mn-3d) hybridization, which is attributed by the partially filled P-3p bands. The holes are mediated with keeping their 3d-characters, therefore the ferromagnetic state is stabilized by this double-exchange mechanism.

Half-metallic Ferromagnetism for Mn-doped Chalcopyrite (Al,Ga)As Semiconductor (Chalcopyrite (Al,Ga)As 반도체와 Mn의 반금속 강자성)

  • Kang, B.S.;Song, K.M.
    • Journal of the Semiconductor & Display Technology
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    • v.19 no.3
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    • pp.49-54
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    • 2020
  • We studied the electronic and magnetic properties for the Mn-doped chalcopyrite (CH) AlAs, GaAs, and AlGaAs2 semiconductor by using the first-principles calculations. The chalcopyrite AlGaP2, AlGaAsP, and AlGaAs2 compounds have a semiconductor characters with a small band-gap. The interaction between Mn-3d and As-4p states at the Fermi level dominate rather than the other states. The ferromagnetic ordering of dopant Mn with high magnetic moment is induced due to the Mn(3d)-As(4p) strong coupling, which is attributed by the partially filled As-4p bands. The holes are mediated with keeping their 3d-electrons, therefore the ferromagnetic state is stabilized by this double-exchange mechanism. We noted that the ferromagnetic state with high magnetic moment is originated from the hybridized As(4p)-Mn(3d)-As(4p) interaction mediated by the holes-carrier.

Ferromagnetism of Chalcopyrite AlGaAs2:Mn Quaternary Alloys (4원 합금 AlGaAs2:Mn의 강자성)

  • Kang, Byung-Sub
    • Korean Journal of Materials Research
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    • v.30 no.12
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    • pp.666-671
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    • 2020
  • The electronic structure and magnetic properties of chalcopyrite (CH) AlGaAs2 with dopant Mn at 3.125 and 6.25 % concentrations are investigated using first-principles calculations. The CH AlGaAs2 alloy is a p-type semiconductor with a small band-gap. The AlGaAs2:Mn shows that the ferromagnetic (FM) state is the most energetically favorable one. The Mn-doped AlGaAs2 exhibits FM and strong half-metallic ground states.The spin polarized Al(Ga,Mn)As2 state (Al-rich system) is more stable than the (Al,Mn)GaAs2 state (Ga-rich system), which has a magnetic moment of 3.82mB/Mn. The interaction between Mn-3d and As-4p states at the Fermi level dominates the other states.The states at the Fermi level are mainlyAs-4p electrons, which mediate strong interaction between the Mn-3d and As-4p states. It is noticeable that the FM ordering of dopant Mn with high magnetic moment originates from the As(4p)-Mn(3d)-As(4p) hybridization, which is attributed to the partially unfilled As-4pbands. The high FM moment of Mn is due to the double-exchange mechanism mediated by valence-band holes.

Using Survey information of BIM-applied Project - Construction Industry Specialist Interview - (스마트 건설에서 디지털 측량정보의 활용)

  • Jo, Jae-Hee;Choi, Young-Woo;Lee, Ji-Woo;Kim, Hwan-Yong
    • Journal of KIBIM
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    • v.10 no.3
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    • pp.33-42
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    • 2020
  • Recently, in the smart construction field, it is possible to construct spatial information of 3D data base quickly and accurately using drones, LiDARs and ARs,. Most public ordering institutions are pushing for the efficiency of construction work through establishing and announcing road maps and guidelines for utilizing BIM for the entire life cycle of construction. However, in most policies, the impact of 3D data on the entire life cycle is limited by only partially constructing and utilizing 3D data or by being mentioned. In addition, many public institutions, construction companies and planning companies did not actively utilize survey information during the actual construction phase, despite the possibility of using 3D survey information. In order to confirm the utilization of survey information, a total of eight private construction companies were selected and interviewed by experts. The analysis shows that most of companies lack the performance of drone measurements or have a lack of awareness of advantages, and among them, construction companies are relatively active. Based on these opinions, this study examined the usability of surveying information and examined measures to expand the utilization of survey information in legal and institutional aspects, technology development aspects and industrial development.

Channel-Adaptive Mobile Streaming Video Control over Mobile WiMAX Network (모바일 와이맥스망에서 채널 적응적인 모바일 스트리밍 비디오 제어)

  • Pyun, Jae-Young
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.46 no.5
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    • pp.37-43
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    • 2009
  • Streaming video service over wireless and mobile communication networks has received significant interests from both academia and industry recently. Specifically, mobile WiMAX (IEEE 802.16e) is capable of providing high data rate and flexible Quality of Service (QoS) mechanisms, supporting mobile streaming very attractive. However, we need to note that streaming videos can be partially deteriorated in their macroblocks and/or slices owing to errors on OFDMA subcarriers, as we consider that compressed video sequence is generally sensitive to the error-prone channel status of the wireless and mobile network. In this paper, we introduce an OFDMA subcarrier-adaptive mobile streaming server based on cross-layer design. This streaming server system is substantially efficient to reduce the deterioration of streaming video transferred on the subcarriers of low power strength without any modifications of the existing schedulers, packet ordering/reassembly, and subcarrier allocation strategies in the base station.

Structural Changes in Isothermal Crystallization Processes of Synthetic Polymers Studied by Time-Resolved Measurements of Synchrotron-Sourced X-Ray Scatterings and Vibrational Spectra

  • Tashiro, Kohji;Hama, Hisakatsu
    • Macromolecular Research
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    • v.12 no.1
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    • pp.1-10
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    • 2004
  • The structural changes occurring in the isothermal crystallization processes of polyethylene (PE), poly-oxymethylene (POM), and vinylidene fluoridetrifluoroethylene (VDFTrFE) copolymer have been reviewed on the basis of our recent experimental data collected by the time-resolved measurements of synchrotron-sourced wide-angle (WAXS) and small-angle X-ray scatterings (SAXS) and infrared spectra. The temperature jump from the melt to a crystallization temperature could be measured at a cooling rate of 600-1,000 $^{\circ}C$/min, during which we collected the WAXS, SAXS, and infrared spectral data successfully at time intervals of ca. 10 sec. In the case of PE, the infrared spectral data clarified the generation of chain segments of partially disordered trans conformations immediately after the jump. These segments then became transformed into more-regular all-trans-zigzag forms, followed by the formation of an orthorhombic crystal lattice. At this stage, the generation of a stacked lamella structure having an 800-${\AA}$-long period was detected in the SAXS data. This structure was found to transfer successively to a more densely packed lamella structure having a 400-${\AA}$-long period as a result of the secondary crystallization of the amorphous region in-between the original lamellae. As for POM, the formation process of a stacked lamella structure was essentially the same as that mentioned above for PE, as evidenced from the analysis of SAXS and WAXS data. The observation of morphology-sensitive infrared bands revealed the evolution of fully extended helical chains after the generation of lamella having folded chain structures. We speculate that these extended chains exist as taut tie chains passing continuously through the neighboring lamellae. In the isothermal crystallization of VDFTrFE copolymer from the melt, a paraelectric high-temperature phase was detected at first and then it transferred into the ferroelectric low-temperature phase at a later stage. By analyzing the reflection profile of the WAXS data, the structural ordering in the high-temperature phase and the ferroelectric phase transition to the low-temperature phase of the multi-domain structure were traced successfully.

Improvement of the Figure of Merit in Pb[(Mg1/3Ta2/3)0.7Ti0.3]O3 Systems

  • Kim, Yeon Jung
    • Applied Science and Convergence Technology
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    • v.25 no.5
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    • pp.88-91
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    • 2016
  • The $Pb[(Mg_{1/3}Ta_{2/3})_{0.7}Ti_{0.3}]O_3$+xwt%PbO systems at temperature of $1250^{\circ}C$ for 4 hours was successful synthesized. In this study, PbO-doped $Pb[(Mg_{1/3}Ta_{2/3})_{0.7}Ti_{0.3}]O_3$ systems with non-linear behaviors showed ordering-degree dependence at the low temperature range were prepared using the columbite precursor method. And the characteristic of remnant polarization vs. electric field were analyzed. The pyroelectric, dielectric and piezoelectric properties of partially disordered $Pb[(Mg_{1/3}Ta_{2/3})_{0.7}Ti_{0.3}]O_3$+xwt%PbO solid solutions were studied as a function of temperature, frequency, and electric field. It showed distinct features of temperature dependent of pyroelectric coefficient, spontaneous polarization and dielectric constant at about $50^{\circ}C$. The figure of merit was calculated as pyroelectric coefficient, dielectric constant and dissipation factor. It was found that the high voltage responsivity FV, high detectivity FD were $0.0373m^2/C$ and $0.6735{\times}10^{-4}Pa{-1/2}$, respectively, in the $Pb[(Mg_{1/3}Ta_{2/3})_{0.7}Ti_{0.3}]O_3$+3.0 wt%PbO system.