• Title/Summary/Keyword: Sigma S

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A Characterization of The Strong Measurability via Oscillation

  • Lee, Sang Han;Kim, Jin Yee;Kim, Mi Hye
    • Journal of the Chungcheong Mathematical Society
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    • v.7 no.1
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    • pp.59-67
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    • 1994
  • Let (${\Omega},{\Sigma},{\mu}$) be a measure space. A function $f:{\Omega}{\rightarrow}X$ is said to be equioscillated if for each set $A{\in}{\Sigma}$ of positive measure and for each ${\epsilon}$ > 0, there is a measurable subset B of A of positive measure such that the inequality s$sup_{{\omega}{\in}B}x^*f({\omega})-inf_{{\omega}{\in}B}x^*f({\omega})$ < ${\epsilon}$ holds for every $x^*$ with $||x^*||{\leq}1$. Strong measurability of a vector valued function is characterized using equioscillation.

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An Electrical Effect Analysis of Asynchronous Phenomena in Parallel Operation of Synchronous Generator (동기발전기(同期發電機)의 병열혼전(竝列渾轉)시 비동기현상(非同期現象)에서 발생(發生)하는 전기현상해석(電氣現象解析))

  • Lee, Eun-Woong;Lim, Jae-Il;Lee, Dong-Ju;Kim, Jong-Gyeum;Jo, Sung-Bae
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.234-237
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    • 1997
  • In the Closing time in order to operate synchronous generators parallely, it is generated the asynchronous phenomena. These asynchronous phenomena give rise of the eddy current on the rotor. These eddy current are solved analytically for the Laplace' Equ. ${\nabla}^2{\widetilde{H}}=0$ in free space and for the Bullard's Equ. ${\nabla}^2{\widetilde{H}}$+${\sigma}_r{\mu}_r{\nabla}$${\times}$${\widetilde{\nu}}_r$${\times}$${\widetilde{H}}^{III}$=${\sigma}_r{\mu}_r{\frac{{\partial}H}{{\partial}t}}$ for the rotor by using each double Fourier series component of the 3D H-field

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A Vertical Line Following Guidance Law Design (수직면 직선추종유도법칙 설계)

  • Whang, Ick-Ho;Cho, Sung-Jin
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.7
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    • pp.1309-1313
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    • 2010
  • In this paper, we propose a novel guidance law for controlling an UAV(Unmanned Air-Vehicle) to follow a reference line in vertical plane. A kinematics model representing the relative motion of the UAV to the reference line is derived. And then LQR(Linear Quadratic Regulator) theory is applied to the model to derive the VLFG(Vertical Line Following Guidance) law. The resultant guidance law forms a gain-scheduling controller scheduled by a simple parameter $\sigma$ which is a function of the UAV's velocity, axial acceleration, gravity, and the slope of the reference line. Also derived is a stability condition for the $\sigma$ variation based on Lyapunov theory. Simulation results show that the proposed guidance law can be applied effectively to UAV guidance algorithm design.

Harmonic Reduction of Input Current in Boost-type Rectifier Using Sigma-Delta Modulation (시그마델타 변조기를 이용한 승압형 정류기의 입력전류 고조파 저감)

  • Bae, C.H.;Lee, B.S.;Park, H.J.;Lee, J.W.
    • Proceedings of the KIEE Conference
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    • 2003.07b
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    • pp.1250-1252
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    • 2003
  • This Paper presents Sigma-Delta Modulation(SDM) schemes to generate switching waveform for a high-power factor boost-type rectifier. The SDM scheme can be implemented by simple digital algorithm unlike conventional PWM schemes with several hardware, and has the characteristics of spectrum-spreading and noise-shaping effects, which are profitable in harmonic reduction of input current in the boost-type rectifier. The comparison results of their spectrum performances shows that the 1st-order SDM has better harmonic suppression effect than conventional PWM scheme and Dithered SDM scheme.

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Compressive Properties of Open Cell 6063 Aluminium Foam (개포형 6063 발포 알루미늄의 압축특성)

  • Bu, Sung-Duk;Kang, Bok-Hyun;Kim, Ki-Young
    • Journal of Korea Foundry Society
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    • v.27 no.1
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    • pp.36-41
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    • 2007
  • Compressive properties of the open cell 6063 aluminum alloy foams made by the plaster molding process were investigated before and after heat treatment. Loading process was controlled at a displacement rate of 2 mm/min. Compressive strength of 10 PPI foam was the largest of the same density foams. Increase in strength after heat treatment for the bulk material was remark able, however was not for the 6063 aluminum foam. C values were in the range of $0.39{\sim}0.53$ for as cast foams and $0.13{\sim}0.16$ for T6 heat treated foams in the equation of ${sigma}^*_{pl}/{\sigma}_{ys}=C({\rho}/{\rho}_{s})^{1.5}$ and increased with cell size.

The DWA Design with Improved Structure by Clock Timing Control (클록 타이밍 조정에 의한 개선된 구조를 가지는 DWA 설계)

  • Kim, Dong-Gyun;Shin, Hong-Gyu;Cho, Seong-Ik
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.4
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    • pp.401-404
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    • 2010
  • In multibit Sigma-Delta Modulator, DWA(Data Weighted Averaging) among the DEM(Dynamic Element Matching) techniques was widely used to get rid of non-linearity that caused by mismatching of unit capacitor in feedback DAC path. this paper proposed the improved DWA architecture by adjusting clock timing of the existing DWA architecture. 2n Register block used for output was replaced with 2n S-R latch block. As a result of this, MOS Tr. can be reduced and extra clock can also be removed. Moreover, two n-bit Register block used to delay n-bit data code is decreased to one n-bit Register. In order to confirm characteristics, DWA for the 3-bit output with the proposed DWA architecture was designed on 0.18um process under 1.8V supply. Compared with the existing architecture. It was able to reduce the number of 222 MOS Tr.

Effects of Patenting Temperature on the Bending Fatigue Resistance of the Steel Filaments used for Automotive Tire (열처리 조건에 따른 미세 강선의 굽힘 피로 특성 변화)

  • Yang, Y.S.;Bae, J.G.;Park, C.G.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.454-457
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    • 2008
  • Effects of patenting temperature on bending fatigue resistance of pearlitic steel filaments were investigated experimentally. The fatigue resistance of steel filaments was carried out by using hunter machine, specially designed for ultra fine-sized steel wires, in the controlled conditions. The transmission electron microscopy (TEM) was used for observing the overall microstructure. It revealed that the fatigue resistance as well as tensile strength increased together with increase of patenting temperature from 510 to $600^{\circ}C$, while the endurance ratio ($\sigma_e/\sigma_{TS}$) of filaments decreased. It is believed that this variation of mechanical properties with change of patenting temperature should be strongly influenced by the change of microstructure. The bending fatigue properties of steel filaments were discussed based on microstructural parameters.

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Polycyclic aromatic hydrocarbons (PAHs) in surface water from the coastal area of Bangladesh

  • Habibullah-Al-Mamun, Md.;Ahmed, Md. K.;Masunaga, Shigeki
    • Advances in environmental research
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    • v.7 no.3
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    • pp.177-200
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    • 2018
  • Sixteen USEPA priority polycyclic aromatic hydrocarbons (PAHs) in the surface water from the coastal areas of Bangladesh were analyzed by GC-MS/MS. Samples were collected in winter and summer, 2015. The total concentration of PAHs (${\Sigma}PAHs$) showed a slight variation in the two seasons, which varied from 855.4 to 9653.7 ng/L in winter and 679.4 to 12639.3 ng/L in summer, respectively. The levels of ${\Sigma}PAHs$ were comparable to or relatively higher than other coastal areas around the world. The areas with recent urbanization and industrialization (Chittagong, Cox's Bazar and Sundarbans) were more contaminated with PAHs than the unindustrialized area (Meghna Estuary). Generally, 2-3-ring PAHs were the dominant compounds. Molecular ratios suggested that PAHs in the study areas could be originated from both pyrogenic and petrogenic sources. The risk assessment revealed the extremely high ecological risk of PAHs, indicating an intense attention should be paid to PAHs pollution in the coastal areas of Bangladesh.

Connected geodesic number of a fuzzy graph

  • Rehmani, Sameeha;Sunitha, M.S.
    • Annals of Fuzzy Mathematics and Informatics
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    • v.16 no.3
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    • pp.301-316
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    • 2018
  • In this paper, the concept of connected geodesic number, $gn_c(G)$, of a fuzzy graph G is introduced and its limiting bounds are identified. It is proved that all extreme nodes of G and all cut-nodes of the underlying crisp graph $G^*$ belong to every connected geodesic cover of G. The connected geodesic number of complete fuzzy graphs, fuzzy cycles, fuzzy trees and of complete bipartite fuzzy graphs are obtained. It is proved that for any pair k, n of integers with $3{\leq}k{\leq}n$, there exists a connected fuzzy graph G : (V, ${\sigma}$, ${\mu}$) on n nodes such that $gn_c(G)=k$. Also, for any positive integers $2{\leq}a<b{\leq}c$, it is proved that there exists a connected fuzzy graph G : (V, ${\sigma}$, ${\mu}$) such that the geodesic number gn(G) = a and the connected geodesic number $gn_c(G)=b$.

Transport Mechanisms and Defect Structures of the System $\alpha$-Fe$_2O_3$-CoO

  • Kim, Keu-Hong;Lee, Sung-Han;Choi, Jae-Shi
    • Bulletin of the Korean Chemical Society
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    • v.7 no.5
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    • pp.341-346
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    • 1986
  • The electrical conductivity of the system ${\alpha}-Fe_2O_3-CoO$ was measured in the temperature range 200-1000$^{\circ}C$ and PO$_{2}$ range 10$^{-7}-2{\times}10^{-1}$ atm. Possible defect models were suggested on the basis of conductivity data, which were measured as a function of temperature and of oxygen partial pressure. The observed activation energies were 0.50 eV and 1.01 eV in the low- and high-temperature regions, respectively. The observed conductivity dependences on PO$_{2}$ were ${\sigma}\;{\alpha}\;PO_2^{-1/6}$ in the PO$_{2}$ range $10^{-7}-10^{-4}$ atm and ${\sigma}\;{\alpha}\;PO_2^{-1/4}$ at PO$_{2}$ 's of $10^{-4}-2{\times}10^{-1}$ atm at temperatures from 300-1000$^{\circ}C$. An extrinsic electron conduction due to an Vo defect and an intrinsic electron conduction due to an Fei' defect were suggested at different temperature and oxygen partial pressure regions, respectively.