• Title/Summary/Keyword: Pi

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PMO Theory of Orbital Interaction (Ⅴ). ${\pi}$-${\pi}$ and ${\pi}^{\ast}$-${\pi}^{\ast}$ Orbital Interactions (궤도간 상호작용의 PMO 이론 (제5보). ${\pi}$-${\pi}$${\pi}^{\ast}$-${\pi}^{\ast}$ 궤도간 상호작용)

  • Ik Choon Lee;Ki Yull Yang;Nan Pyo Lee;Wang Ki Kim
    • Journal of the Korean Chemical Society
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    • v.29 no.1
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    • pp.23-30
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    • 1985
  • PMO expressions for ${\pi}^{\ast}$-${\pi}^{\ast}$ orbital interaction have been derived. Important differences between ${\pi}$-${\pi}$ and ${\pi}^{\ast}$-${\pi}^{\ast}$ interactions predicted by PMO expressions are : (ⅰ) energy splitting in ${\pi}^{\ast}$-${\pi}^{\ast}$ interaction will be greater than that in ${\pi}$-${\pi}$ interaction, (ⅱ) energy change due to interaction will be more destabilizing in ${\pi}^{\ast}$-${\pi}^{\ast}$ than in ${\pi}$-${\pi}$ interaction. These predictions were borne out in experimental data and in results of MO theoretical computations. It was pointed out that both STeO-3G and INDO-LCBO methods underestimate ${\pi}^{\ast}$-${\pi}^{\ast}$ orbital interaction and in order to estimate properly with MO theoretical calculation, use of split valence basis set is required.

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Studies on Resistance to anthracnose (Colletrichum dematium) in Pepper (고추의 탄저병(炭疽病) 저항성(抵抗性)에 관(關)한 연구(硏究))

  • Park, Hyoun Kyu;Kim, Byung Soo;Lee, Woo Sung
    • Current Research on Agriculture and Life Sciences
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    • v.4
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    • pp.7-11
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    • 1986
  • Nine Korean local cultivars and 34 PI lines of pepper were tested for resistance to anthracnose (Colletotrichum dematium). Red ripe fruits were harvested, punctured and inoculated by spraying and dropping a conidial suspension of Colletotrichum dematium. Resistance was evaluated by measuring the diameter of ripe rot lesions developed on and around the puncture. The results obtained are as follows : 1. PI 201232, PI 224451, PI 257044, PI 257119, PI 257099, PI 224433, PI 244668, PI 257102, PI 173877, Namji, Cheongryong, and Seodong were the least diseased and considered to be resistant. 2. PI 241670, PI 244670, and PI 224423 were the most diseased and considered to be susceptible. 3. Others were in between the two extremes and considered to be intermediate.

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SOME RESULTS ON STRONG π-REGULARITY

  • Cho, Yong Uk
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.293-297
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    • 2009
  • We will introduce some properties of strongly reduced near-rings and the notion of left $\pi$-regular near-ring. Also, we will study for right $\pi$-regular, strongly left $\pi$-regular, strongly right $\pi$-regular and strongly $\pi$- regular. Next, we may characterize the strongly $\pi$-regular near-rings with related strong reducibility.

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A Study On the Development of the Pi-Yin Theory (비음(脾陰) 이론의 형성에 대한 고찰)

  • Yun, Ki-ryoung
    • Journal of Korean Medical classics
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    • v.35 no.3
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    • pp.91-106
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    • 2022
  • Objectives : To examine the developmental process of the Pi-Yin theory since the Huangdineijing to Miu Xiyong. Methods : Related contents since the Huangdineijing to Miu Xiyong was searched to examine the development of the Pi-Yin theory. Results & Conclusions : In the Huangdineijing and Shanghanzabinglun, the origin of the Pi's body fluids that nurtures everywhere is explained to be the Wei, which limited the development of the Pi-Yin theory. Liu Wansu understood tonification of the Pi by means of moistening medicinals to mean adding Pi-Yin based on the manifestation of dryness in the case of dampness deficiency which is the main Qi of the Pi and Wei. Zhu Danxi understood adding Pi-Yin as accomplished by supplementing Blood. The understanding of the nature of Pi to be 'likes dryness and hates dampness' leading to thinking that drying dampness tonifies the Pi was the reason why the Pi-Yin theory could not develop fully. Miu Xiyong accepted theories of both Li Dongyuan and Zhu Danxi, and constructed the Pi-Yin theory to bring caution to the unwanted effects of using Baizhu wrongly. Through examination of the developmental process of the Pi-Yin theory, it could be understood that rather than focusing on the physiological function of the Pi-Yin and ways of maintaining its proper functioning, the theory was developed to bring caution to using medicinals with dry and hot properties that could dry the Pi-Yin.

PMO Theory of Orbital Interactions (Part 7). $\sigma-\pi$ Interactions

  • Kong, Byung-Hoo;Lee, Byung-Choon;Lee, Ik-Choon;Yang, Ki-Yull
    • Bulletin of the Korean Chemical Society
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    • v.6 no.5
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    • pp.277-279
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    • 1985
  • Orbital interactions of the types, ${\sigma}-{\pi},\;{\sigma}^*-{\pi},\;{\sigma}-{\pi}^*\;and\;{\sigma}^*-{\pi}^*$ are investigated for the rotamers of ${\alpha}$-X-acetones (X = F and Cl) using STO-3G method of calculation. It was found that the interactions are possible only in gauche forms, and the ${\sigma}^*-{\pi}^*$ interactions are in general greater than the $\sigma-\pi$ interactions due to the greater overlap, in spite of the greater energy gap involved; the greater ${\sigma}^*-{\pi}^*$ interaction causes greater lowering of ${\pi}^*$ level relative to the lowering of ${\sigma}$ in the ${\sigma}-{\pi}$ interaction so that both ${\sigma}-{\pi}^*$ and $n-{\pi}^*$ interactions are enhanced in the gauche forms. The extra stability of the gauche form and the red shift in the $n-{\pi}^*$ transition are thus found to be natural corollaries of the greater ${\sigma}^*-{\pi}^*$ interaction in the gauche forms.

Electronic Structure and Photoreactivity of N-Methyllutione (N-메틸루티돈의 電子構造와 光化學反應性에 關한 硏究)

  • Shim Sang Chul;Hyun Myung Ho;Chae Kyu Ho
    • Journal of the Korean Chemical Society
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    • v.21 no.6
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    • pp.434-439
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    • 1977
  • The electronic structures of 4-pyridone and lutidone are studied by the SCF MO-CI PPP method and by the configuration analysis method. The spectral data are consistent with the values calculated by the method. The polarization of $S_1({\pi},{\pi}^*)$ state is along the long molecular axis in both compounds. The lowest $({\pi},{\pi}^*)$1 state shows significant charge transfer (16∼18%) from ${\pi}$ bonding orbital of C=O moiety to ${\pi}^*$ antibonding orbital of divinyl amine moiety. The lowest triplet state shows much larger charge transfer (24∼29 %) but in opposite direction compared to that of $S_1({\pi},{\pi}^*)$ state.

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Enhanced Hybrid Multi Electrical Cupping System using S-PI Controller (S-PI 제어기를 이용한 개선된 하이브리드 멀티전동부항시스템)

  • Kim, Jong-Chan;Kim, CheeYong
    • Journal of Korea Multimedia Society
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    • v.18 no.11
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    • pp.1400-1407
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    • 2015
  • In the paper, we suggest bettered EHMECS(Enhanced Hybrid Multi Electrical Cupping System) to regulate automatically vacuum pressure using many cupping cup at once. We controlled accurately the pressure using S-PI control technique in pump motor to input the air inside cupping cup. S-PI control compared constant velocity, load and velocity variance between existing PI and FLC(Fuzzy Logic Control). The stabilization time of suggested S-PI control improve 20% of existing PI and 8% of FLC. The error constant of normal condition improved 71% of existing PI and 62% of FLC in steady speed and 80% of existing PI and 67% of FLC in load change. Also the error constant about velocity variance improve 45% of PI control. It is prove the suggested S-PI control technique. When use long time vacuum pressure of cupping cup regulated the suggested S-PI control technique, can loosen knotted muscles.

THE STUDY OF THE SYSTEM OF NONLINEAR WAVE EQUATIONS

  • Jung, Tacksun;Choi, Q-Heung
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.3
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    • pp.261-267
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    • 2007
  • We show the existence of the positive solution for the system of the following nonlinear wave equations with Dirichlet boundary conditions $$u_{tt}-u_{xx}+av^+=s{\phi}_{00}+f$$, $$v_{tt}-v_{xx}+bu^+=t{\phi}_{00}+g$$, $$u({\pm}\frac{\pi}{2},t)=v({\pm}\frac{\pi}{2},t)=0$$, where $u_+=max\{u,0\}$, s, $t{\in}R$, ${\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_{00}=1$ of the eigenvalue problem $u_{tt}-u_{xx}={\lambda}_{mn}u$ with $u({\pm}\frac{\pi}{2},t)=0$, $u(x,t+{\pi})=u(x,t)=u(-x,t)=u(x,-t)$ and f, g are ${\pi}$-periodic, even in x and t and bounded functions in $[-\frac{\pi}{2},\frac{\pi}{2}]{\times}[-\frac{\pi}{2},\frac{\pi}{2}]$ with $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}f{\phi}_{00}=\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}g{\phi}_{00}=0$.

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The Characteristic of Control Response of BLDC using a Fuzzy PI Controller (퍼지 PI 제어기를 사용한 BLDC 제어 응답특성)

  • Yoon, Yong-Ho;Kim, Jae-Moon;Kim, Duk-Heon;Won, Chung-Yuen
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.10
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    • pp.1978-1983
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    • 2011
  • BLDC motor is used in a wide variety of industrial and servo applications. Its features and advantages mainly consist in high value of torque/inertia ratio, high efficiency with speed range and high dynamic performance. This paper deals with the speed control of a trapezoidal type brushless DC motor using Fuzzy PI controller. The conventional PI controller has been widely used in industrial applications. If we select a optimal PI control gain, the PI controller shows very good control performance. But it is very difficult to find the optimal PI control gain. Fuzzy control does not need any model of plant and is basically adaptive and gives robust performance for plant parameter variation. Therefore the combinations of conventional PI controller and fuzzy controller seem to be very effective. This paper deals with PI controller with 4-rule based fuzzy controller. The proposed fuzzy PI controller increases the control performance of the conventional PI controller. Simulation and experimental results show that fuzzy PI controller has a good robustness regarding the improper tuned PI controller.

A Fuzzy PI Controller for Pitch Control of Wind Turbine (풍력 발전기 피치 제어를 위한 퍼지 PI 제어기)

  • Cheon, Jongmin;Kim, Jinwook;Kim, Hongju;Choi, Youngkiu;Jin, Maolin
    • Journal of Drive and Control
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    • v.15 no.1
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    • pp.28-37
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    • 2018
  • When the wind speed rises above the rated wind speed, the produced power of the wind turbines exceeds the rated power. Even more, the excessive power results in the undesirable mechanical load and fatigue. A solution to this problem is pitch control of the wind turbines. This paper presents a systematic design method of a collective pitch controller for the wind turbines using a discrete fuzzy Proportional-Integral (PI) controller. Unlike conventional PI controllers, the fuzzy PI controller has variable gains according to its input variables. Generally, tuning the parameters of fuzzy PI controller is complex due to the presence of too many parameters strongly coupled. In this paper, a systematic method for the fuzzy PI controller is presented. First, we show the fact that the fuzzy PI controller is a superset of the PI controller in the discrete-time domain and the initial parameters of the fuzzy PI controller is selected by using this relationship. Second, for simplicity of the design, we use only four rules to construct nonlinear fuzzy control surface. The tuning parameters of the proposed fuzzy PI controller are also obtained by the aforementioned relationship between the PI controller and the fuzzy PI controller. As a result, unlike the PI controller, the proposed fuzzy PI controller has variable gains which allow the pitch control system to operate in broader operating regions. The effectiveness of the proposed controller is verified with computer simulations using FAST, a NREL's primary computer-aided engineering tool for horizontal axis wind turbines.