• Title/Summary/Keyword: pi-space

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Fundamental Groups of a Topological Transformation Group

  • Chu, Chin-Ku;Choi, Sung Kyu
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.103-113
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    • 1991
  • Some properties of a path space and the fundamental group ${\sigma}(X,x_0,G)$ of a topological transformation group (X, G, ${\pi}$) are described. It is shown that ${\sigma}(X,x_0,H)$ is a normal subgroup of ${\sigma}(X,x_0,G)$ if H is a normal subgroup of G ; Let (X, G, ${\pi}$) be a transformation group with the open action property. If every identification map $p:{\Sigma}(X,x,G)\;{\longrightarrow}\;{\sigma}(X,x,G)$ is open for each $x{\in}X$, then ${\lambda}$ induces a homeomorphism between the fundamental groups ${\sigma}(X,x_0,G)$ and ${\sigma}(X,y_0,G)$ where ${\lambda}$ is a path from $x_0$ to $y_0$ in X ; The space ${\sigma}(X,x_0,G)$ is an H-space if the identification map $p:{\Sigma}(X,x_0,G)\;{\longrightarrow}\;{\sigma}(X,x_0,G)$ is open in a topological transformation group (X, G, ${\pi}$).

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Pi2 Pulsations Associated With Poleward Boundary Intensifications

  • Ki, Gwan-Hyeok;Le, Dong-Hun;K. Takahashi
    • Bulletin of the Korean Space Science Society
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    • 2004.04a
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    • pp.42-42
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    • 2004
  • Recently, Pi2 pulsations during the intervals of extremely quiet magnetospheric conditions (Kp = 0$\^$+/) have been reported by Sutcliffe and Lyons (2002). The authors observed several Pi2 bursts occurred simultaneously at high (magnetic latitude = 71$^{\circ}$) and low (42$^{\circ}$) latitudes during the absence of magnetospheric substorms and found that the bursts are strongly correlated with poleward boundary intensifications (PBIs), associated with enhancements of energetic ion fluxes observed by the Geotail satellite at Xgsm - -12 Re to -17 Re and Ygsm - 12 Re to 10 Re in the plasma sheet. (omitted)

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Simulation of Supply Air Control in a VAV System Using a Stratified Lumped Thermal Model (성층화 열용량 모델을 이용한 VAV 시스템 급기 제어 시뮬레이션)

  • 문정우;김서영;김원년;조형희
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.12 no.7
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    • pp.632-641
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    • 2000
  • The present study concerns the simulation of supply-air control in a variable air volume (VAV) system. A stratified lumped thermal model (multi-zone model) is suggested to predict local thermal response of an air-conditioned space. The effects of various thermal parameters such as the cooling system capacity, the thermal mass of air-conditioned space, the time delay of thermal effect, and the building envelope heat transmission are investigated in detail. Further, the influence of control parameters, PI control factor and the sensor location on a VAV system is quantitatively delineated. The results obtained show that the previous homogeneous lumped thermal model (1-zone model) may predict a significantly different thermal response in the air-conditioned space according to the sensor location.

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SOME PROPERTIES OF $D^n$-GROUPS

  • Kim, In-Su
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.1
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    • pp.1-9
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    • 1989
  • In 1980 and 1983, it was proved that P $D^{2}$-groups are surface groups ([2], [3]). Since then, topologists have been positively studying about P $D^{n}$ -groups (or $D^{n}$ -groups). For example, let a topological space X have a right .pi.-action, where .pi. is a multiplicative group. If each x.memX has an open neighborhood U such that for each u.mem..pi., u.neq.1, U.cap. $U_{u}$ =.phi., this right .pi.-action is said to be proper. In this case, if X/.pi. is compact then (1) .pi.$_{1}$(X/.pi).iden..pi.(X:connected, .pi.$_{1}$: fundamental group) ([4]), (2) if X is a differentiable orientable manifold with demension n and .rho.X (the boundary of X)=.phi. then $H^{k}$ (X;Z).iden. $H_{n-k}$(X;Z), ([6]), where Z is the set of all integers.s.

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Explorized Policy Iteration For Continuous-Time Linear Systems (연속시간 선형시스템에 대한 탐색화된 정책반복법)

  • Lee, Jae-Young;Chun, Tae-Yoon;Choi, Yoon-Ho;Park, Jin-Bae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.3
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    • pp.451-458
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    • 2012
  • This paper addresses the problem that policy iteration (PI) for continuous-time (CT) systems requires explorations of the state space which is known as persistency of excitation in adaptive control community, and as a result, proposes a PI scheme explorized by an additional probing signal to solve the addressed problem. The proposed PI method efficiently finds in online fashion the related CT linear quadratic (LQ) optimal control without knowing the system matrix A, and guarantees the stability and convergence to the LQ optimal control, which is proven in this paper in the presence of the probing signal. A design method for the probing signal is also presented to balance the exploration of the state space and the control performance. Finally, several simulation results are provided to verify the effectiveness of the proposed explorized PI method.

Design of Space Search-Optimized Polynomial Neural Networks with the Aid of Ranking Selection and L2-norm Regularization

  • Wang, Dan;Oh, Sung-Kwun;Kim, Eun-Hu
    • Journal of Electrical Engineering and Technology
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    • v.13 no.4
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    • pp.1724-1731
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    • 2018
  • The conventional polynomial neural network (PNN) is a classical flexible neural structure and self-organizing network, however it is not free from the limitation of overfitting problem. In this study, we propose a space search-optimized polynomial neural network (ssPNN) structure to alleviate this problem. Ranking selection is realized by means of ranking selection-based performance index (RS_PI) which is combined with conventional performance index (PI) and coefficients based performance index (CPI) (viz. the sum of squared coefficient). Unlike the conventional PNN, L2-norm regularization method for estimating the polynomial coefficients is also used when designing the ssPNN. Furthermore, space search optimization (SSO) is exploited here to optimize the parameters of ssPNN (viz. the number of input variables, which variables will be selected as input variables, and the type of polynomial). Experimental results show that the proposed ranking selection-based polynomial neural network gives rise to better performance in comparison with the neuron fuzzy models reported in the literatures.

Sensorless Vector Control of Induction Motor Using Fuzzy PI Controller (퍼지 PI제어기를 이용한 유도전동기 속도 센서리스 벡터제어)

  • 남상현;이재환;김대균;김길동;이승환;한경희
    • Proceedings of the KIPE Conference
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    • 1999.07a
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    • pp.390-393
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    • 1999
  • For high performance ac drives, the speed sensorless vector control and a speed control algorithm base on the Fuzzy PI controller have received increasing attention. A Fuzzy PI controller is used for robust and fast speed control and space vector modulation method is used for PWM wave generation in this proposed system. The computer simulation results show that the proposed controller are more excellent control characteristics than conventional PI controller in transient-state response.

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Predicting Factors for the Distance from Skin to the Epidural Space with the Paramedian Epidural Approach (방정중접근법에 의한 경막외 천자시 피부로부터 경막외강까지의 거리의 예측인자)

  • Shim, Jae-Chol;Lee, Myoung-Eui;Kim, Dong-Won
    • The Korean Journal of Pain
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    • v.9 no.2
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    • pp.349-353
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    • 1996
  • Background: Although the paramedian approach for epidural blockade is useful in some clinical situation, the parameters which are correlated with the distance from skin to the epidural space has not been established. Methods: We studied in 143 patients having elective continuous epidural blocks for relief of postoperative pain. All blocks were performed using paramedian approach with Tuohy needle in the lumbar (group 1, n=100) and thoracic (group 2, n=45) area. We measured the distance from skin to the epidural space, body weight, height, and the angle between the shaft of the needle and the skin. Data were analyzed by linear regression. The relationships between parameters identified by the F-test with a P value of less than 0.05 were considered statistically significant. Results: The mean distance from skin to the lumbar epidural space was $4.4{\pm}0.7$ cm. significant correlation between the body weight and the depth of lumbar epidural space ($\gamma$ value : 0.492) was noted with regression equation of depth(cm)=2.293+0.034${\times}$body weight (kg). Also the significant correlation between the ponderal index (PI) and the depth of lumbar epidural space ($\gamma$ value : 0.539) was noted with regression equation of depth(cm)=1.703+0.07${\times}$PI, The mean distance from skin to the thoracic epidural space was $5.2{\pm}0.7cm$ which did not correlated with other anatomic measurements. Conclusion: We found that PI and body weight are the suitable predictors of the depth of the lumbar epidural space, but not the thoracic epidural space.

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Effects of asymmetric plasmasphere on MHD waves in a three-dimensional dipolar magnetosphere

  • Roh, Sang-Il;Lee, Dong-Hun;R. E. Denton;K. Takahashi;J. Goldstein;A. Keiling;R. A. King;K. Yumoto
    • Bulletin of the Korean Space Science Society
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    • 2003.10a
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    • pp.39-39
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    • 2003
  • The plasmaspheric region shows relatively strong longitudinal asymmetry in the sense that the location of the plasmapause and the density distribution significantly vary with respect to local time, and this asymmetry effect has been neglected in previous magnetospheric ULF wave studies. In this study, we numerically examine the MHD wave properties of field line resonances (FLRs) and Pi2 pulsations when the inner magnetosphere is assumed to be asymmetric. We use the dipole magnetic field model, but our density model is based on. observational data from the IMAGE satellite. We assume an impulsive input in the magnetotail, which can be associated with a substorm onset. Our results suggest that local FLRs appear in both the radial and azimuthal oscillations owing to the asymmetry. Plasmaspheric Pi2 signals appear in the compressional component, but they are more strongly affected by ambient plasmaspheric structure than the FLRs. We compare our results with the observational data of Pi2 events.

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