• Title/Summary/Keyword: Pi

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${\pi}G{\alpha}$-LOCALLY CLOSED SETS AND ${\pi}G{\alpha}$-LOCALLY CONTINUOUS FUNCTIONS

  • Rani, I. Arockia;Balachandran, K.;Janaki, C.
    • East Asian mathematical journal
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    • v.24 no.4
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    • pp.317-328
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    • 2008
  • In this paper we introduce ${\pi}G{\alpha}$-LC sets, ${\pi}G{\alpha}-LC^*$ sets and ${\pi}G{\alpha}-LC^{**}$ sets and different notions of generalizations of continuous functions in topological space and discuss some of their properties. Further we prove pasting lemma for ${\pi}G{\alpha}-LC^{**}$ continuous functions and ${\pi}G{\alpha}-LC^{**}$ irresolute functions.

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NEW SERIES IDENTITIES FOR ${\frac{1}{\Pi}}$

  • Awad, Mohammed M.;Mohammed, Asmaa O.;Rakha, Medhat A.;Rathie, Arjun K.
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.865-874
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    • 2017
  • In the theory of hypergeometric and generalized hypergeometric series, classical summation theorems have been found interesting applications in obtaining various series identities for ${\Pi}$, ${\Pi}^2$ and ${\frac{1}{\Pi}}$. The aim of this research paper is to provide twelve general formulas for ${\frac{1}{\Pi}}$. On specializing the parameters, a large number of very interesting series identities for ${\frac{1}{\Pi}}$ not previously appeared in the literature have been obtained. Also, several other results for multiples of ${\Pi}$, ${\Pi}^2$, ${\frac{1}{{\Pi}^2}}$, ${\frac{1}{{\Pi}^3}}$ and ${\frac{1}{\sqrt{\Pi}}}$ have been obtained. The results are established with the help of the extensions of classical Gauss's summation theorem available in the literature.

벤젠 이합체와 그 치환체의 양자역학을 통한 π-π interaction의 계산

  • Jo, Ji-Seong;Cho, Art.
    • Proceeding of EDISON Challenge
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    • 2014.03a
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    • pp.385-397
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    • 2014
  • 신약을 개발하거나 단백질 구조를 예측하는데 Molecular Mechanics (MM)의 방법을 사용한다. 하지만, MM 만으로는 자연현상에서 일어나는 결과를 정확하게 기술하기 어렵다. 본 연구는 기존의 MM 방법으로는 정확히 예측이 불가능한 비 공유결합 중 하나인 ${\pi}-{\pi}$ interaction을 양자역학 계산을 통해 정확한 예측이 가능한지 보았다. ${\pi}-{\pi}$ interaction 이란 생체 내, 의약 화합물에서 발견되는 결합이기 때문에, 단백질과 결합하는 구조의 예측이 중요하다고 할 수 있다. 본 실험은 ${\pi}-{\pi}$ interaction을 갖는 Sandwich, T shape, 그리고 Parallel displaced 세 가지 모형을 가지고 양자역학 계산을 수행하였다. 양자역학 계산은 DFT의 세가지 함수 M06_2X, M05_2X, B3LYP를 이용하였다. 실험결과에서 세 가지 함수가 각기 다른 결과를 보였는데, M06_2X의 결과에서 ${\pi}-{\pi}$ interaction을 더 정확하게 계산하였다. 이러한 결과를 바탕으로, 양자역학의 방법을 통해 MM에서는 예측이 불가능한 ${\pi}-{\pi}$ interaction을 계산 할 수 있고 이 부분을 고려하여 화합물 간의 결합구조를 예측을 향상시킬 수 있다.

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Identification of rice blast major resistance genes in Korean rice varieties using molecular marker

  • Kim, Yangseon;Goh, Jaeduk;Kang, Injeong;Shim, Hyeongkwon;Heu, Sunggi;Roh, Jaehwan
    • Proceedings of the Korean Society of Crop Science Conference
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    • 2017.06a
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    • pp.112-112
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    • 2017
  • Rice blast caused by Magnaporthe oryzae is one of the most serious diseases that affect the quantity and quality of rice production. The use of resistant rice varieties would be the most effective way to control the rice blast. However R gene incorporation into the rice variety takes time and pathogen could overcome the R gene effects after for a while. For monitoring the rice blast resistance gene distribution in Korean varieties, the four major blast resistance genes against M. oryzae were screened in a number of Korean rice varieties using molecular markers. Of the 120 rice varieties tested, 40 were found to contain the Pi-5 gene, 25 for the Pi-9 gene, 79 for Pi-b and 40 for the Pi-ta gene. None of these rice varieties includes tested 4 R genes. 3 R genes combination, Pi-5/Pi-9/Pi-b, Pi-5, Pi-9.Pi-ta, or Pi-9/Pi-b/Pi-ta were found in 12 varieties, the rice blast disease severity were showed as resistant in the rice verities containing Pi-9/Pi-b/Pi-ta R genes combination, respectively. Also pathogenic diversity of M. oryzae isolates collected in the rice field from 2004 to 2015 in rice field in Korea were analyzed using rice blast monogenic lines, each harboring a single blast resistance gene. Compatibility of blast isolates against rice blast monogenic lines carrying the resistance genes Pi5, Pi9, Pib, and Piz showed dynamic changes by year. It indicates that pathogen has high evolutionary potential adapted host resistances to increase fitness and would lead to rice blast resistance bred into the cultivar becoming ineffective eventually.

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EO Characteristics in the Vertical Alignment (VA)-$\pi$ mode LCD Using the Tilt Angle Decrease Effect on the Blended Polymer (혼합된 polymer에서의 틸트 감소 효과를 이용한 VA-$\pi$ mode LCD의 전기광학 특성)

  • Lee, Kyung-Jun;Hwang, Jeoung-Yeon;Seo, Dae-Shik
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2003.05d
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    • pp.53-56
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    • 2003
  • Blending effects for generating a pretilt angle in nematic liquid crystal (NLC) with negative dielectric anisotropy on the blended polyimide (PI) of homeotropic and homogeneous alignment surface were studied. Also, we investigated the EO performances for the advanced VA-$\pi$ cell using this homeotropic blended PI surface. A many decrease of tilt angle on the polymer surface to blend homeotropic PI and homogeneous PI with side chain type was measured, and the tilt angle decreased as blended ratio and rubbing strength increase. The blended effects for generating a pretilt angle were clearly observed, and the many decrease of tilt angle can be achieved by using the blended PI surface. The electro-optical (EO) characteristics using the advanced VA-$\pi$ cell using the homeotropic blended PI surface than that of conventional VA cell can be improved. We suggest that the developed advanced VA-$\pi$ cell on a homeotropic blended PI surface is a promising technique for the achievement of a fast response time, and a high contrast ratio.

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A Transmission Technique for Paging Indicator in OFDM-based Cellular Systems (OFDM 이동통신 시스템의 Paging Indicator 전송 방식)

  • Kim, Yeong-Jun;Yoo, Hyun-Il;Woo, Kyung-Soo;Lee, Hee-Soo;Cho, Yong-Soo
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.7A
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    • pp.710-719
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    • 2008
  • In this paper, a transmission technique of paging indicator (PI) on the existing preamble is proposed to reduce power consumption of the user equipment in idle mode for OFDM-based cellular systems. Compared with the PI transmission technique using the L1/L2 control channel, the PI transmission technique using preamble has advantages of not requiring additional overhead for PI transmission as well as reducing computational complexity for PI detection. Synchronization and PI detection techniques are descried for OFDM-based cellular systems, especially for mobile WiMAX systems. It is shown by computer simulation that the PI can be transmitted using the preamble (or common synch symbol) without affecting performances of synchronization and cell searching in mobile WiMAX systems.

EO Characteristics in the Advanced Vertical Alignment VA-$\pi$ Cell on a Homeotropic Blended Polymer (수직 복합 폴리머 표면을 이용한 Advanced VA-$\pi$ cell의 전기광학 특성)

  • Lee, Kyung-Jun;Hwang, Jeoung-Yeon;Hahn, Eun-Joo;Paek, Seung-Kwon;Seo, Dae-Shik
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.11a
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    • pp.530-533
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    • 2002
  • Blending effects for generating a pretilt angle in nematic liquid crystal (NLC) with negative dielectric anisotropy on the blended polyimide (PI) of homeotropic and homogeneous alignment surface were studied. Also, we investigated the EO performances for the advanced VA-$\pi$ cell using this homeotropic blended PI surface. A many decrease of tilt angle on the polymer surface to blend homeotropic PI and homogeneous PI with side chain type was measured, and the tilt angle decreased as blended ratio and rubbing strength increase. The blended effects for generating a pretilt angle were clearly observed, and the many decrease of tilt angle can be achieved by using the blended PI surface. The electro-optical (EO) characteristics using the advanced VA-$\pi$ cell using the homeotropic blended PI surface than that of conventional VA cell can be improved. We suggest that the developed advanced VA-$\pi$ cell on a homeotropic blended PI surface is a promising technique for the achievement of a fast response time, and a high contrast ratio.

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EO Characteristic in the Advanced Vertical Alignment (VA)- π Cell a Homeotropic Blended Polymer (수직 복합폴리머 표면을 이용한 Advanced VA-π cell의 전기 광학 특성)

  • 황정연;이경준;조용민;서대식
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.9
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    • pp.826-832
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    • 2003
  • Blending effects for generating a pretilt angle in nematic liquid crystal (NLC) with negative dielectric anisotropy on the blended polyimide (PI) of homeotropic and homogeneous alignment surface were studied. Also, we investigated the EO performances for the advanced VA- $\pi$ cell using this homeotropic blended PI surface. A many decrease of tilt angle on the polymer surface to blend homeotropic PI and homogeneous PI with side chain type was measured, and the tilt angle decreased as blended ratio and rubbing strength increase. However, a small decrease of tilt angle on the polymer surface to blend homeotropic PI and homogeneous PI with main chain type was measured. The blended effects for generating a pretilt angle were clearly observed, and the many decrease of tilt angle can be achieved by using the blended PI surface. The electro-optical (EO) characteristics using the advanced VA- $\pi$ cell using the homeotropic blended PI surface than that of conventional VA cell can be improved. We suggest that the developed advanced VA-$\pi$ cell on a homeotropic blended PI surface is a promising technique for the achievement of a fast response time, and a high contrast ratio.

Control of Raspberry Pi 4 Board using Minecraft Pi and Python Language (Minecraft Pi와 Python 언어를 이용한 라즈베리 파이 4 보드 제어)

  • Choi, Byeong-yoon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2021.10a
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    • pp.643-645
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    • 2021
  • Minecraft Pi edition is a distinct version of Minecraft developed for Raspberry Pi and was mostly used as an educational instrument for upcoming programmers. In this paper, the basic method to control GPIO pin of Raspberry Pi 4 board using python 3 and Minecraft Pi software was implemented. The implemented scheme can be easily applicable to the area of educational platform and metaverse application if a plenty of python libraries embedded in raspberry pi and excellent gaming capability of Minecraft Pi software are efficiently merged to meet application-specific hardware and software requirements.

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Mechanism of Orientation of Liquid Crystal Molecules for Polarized UV-exposed Polyimide Alignment Layers (폴리애미드 배향막의 편광 자외선 조사에 따른 액정 배향 메카니즘)

  • 김일형;김욱수;하기룡
    • Polymer(Korea)
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    • v.26 no.2
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    • pp.209-217
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    • 2002
  • We studied the mechanism of orientation of polyimide molecules which were irradiated by polarized UU (PUV) using polarized Fourier transform infrared (FT-IR) spectroscopy and ultraviolet (UV) spectroscopy, According to the measured UV spectra, we found PI films mainly absorb UV light less than 350 nm wavelength, therefore, UV light less than 360 nm induces photochemical reaction of PI. PUV irradiation of PI films caused decrease of all peak intensities in the FT-IR spectra. except the newly formed broad peak at $3244 cm^{-1}$, due to degradation of the PI molecules. The remaining PI molecules after photo-degradation showed predominantly perpendicular molecular orientation to the irradiated PUV polarization direction, due to the preferential degradation of PI molecules parallel to irradiated PUV polarization direction. However the rubbing of PI films induced reorientation of the PI molecules parallel to the rubbing direction. We also investigated the alignment of the liquid crystal by rubbing or PUV irradiation. Liquid crystals align perpendicular to the PUV polarization direction and parallel to the rubbing direction.