• 제목/요약/키워드: (p, q, r)-generation

검색결과 12건 처리시간 0.029초

GENERATING PAIRS FOR THE SPORADIC GROUP Ru

  • Darafsheh, M.R.;Ashrafi, A.R.
    • Journal of applied mathematics & informatics
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    • 제12권1_2호
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    • pp.143-154
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    • 2003
  • A finite group G is called (l, m, n)-generated, if it is a quotient group of the triangle group T(l, m, n) = 〈$\chi$, y, z│$\chi$$\^$l/ = y$\^$m/ = z$^n$ = $\chi$yz = 1〉. In [19], the question of finding all triples (l, m, n) such that non-abelian finite simple group are (l, m, n)-generated was posed. In this paper we partially answer this question for the sporadic group Ru. In fact, we prove that if p, q and r are prime divisors of │Ru│, where p < q < r and$.$(p, q) $\neq$ (2, 3), then Ru is (p, q, r)-generated.

GENERATING PAIRS FOR THE HELD GROUP He

  • Ashrafi, Ali-Reza
    • Journal of applied mathematics & informatics
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    • 제10권1_2호
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    • pp.167-174
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    • 2002
  • A group G is said to be (l, n, n)-generated if it is a quotient group of the triangle group T(p,q,r)=(x,y,z|x$\^$p/=y$\^$q/=z$\^$r/=xyz=1). In [15], the question of finding all triples (l, m, n) such that non-abelian finite simple groups are (l , m, n)-generated was posed. In this paper we partially answer this question for the sporadic group He. We continue the study of (p, q, r) -generations of the sporadic simple groups, where p, q, r are distinct primes. The problem is resolved for the Held group He.

해법(解法) 발생(發生)의 연추적(連推的) 모형(模型) -기존의 폴리아(Polya) 틀에 대한 재해석- (The Generation Model of Problem Solving as a Reinterpretation on Polya Thesis)

  • 조동호
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제3권
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    • pp.229-249
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    • 1997
  • 폴리아가 그의 저서 ‘How to Solve It.'에서 주창한 문제 해결의 모형은 이렇게 해석될 수 있다. 곧, 절대 다수의 수학 문제는 조건문 (p${\rightarrow}$q)의 명제 형식으로 분해된다는 것이다. 그리하여 순조롭게 발생되는 문제 해법의 전과정은 아래와 같이 마치 징검다리를 놓듯 추이율(transitivity)을 연거퍼 적용하는(이른바 연추적이라 함) 절차이다. (p: 주어진 정보) ${\rightarrow}$ ${\cdots}$ ${\rightarrow}$ ${\cdots}$ ${\rightarrow}$ (구하는 정보: q) 이것은, 일반적으로, 추이율이 성립하는 모든 관계(relation)의 연추적 확인 과정으로 확장될 수 있다. 요컨대 항진식 (p${\rightarrow}$r) ${\wedge}$ (r${\rightarrow}$q) ${\rightarrow}$ (p${\rightarrow}$q)의 보장 아래 관계의 추이율 xRz ${\wedge}$ zRy ${\rightarrow}$ xRy 로 연결되는 온갖 경로를 포괄한다. 이상과 같이 정식화되는 이 도식의 한계와 효용은 (1) 모든 문제가 조건문의 형태를 갖추고 있는 것은 아니며, (2) 조건문 형식의 문제라도 해법이 반드시 연추적으로 발생되는 법도 아니고, (3) 더구나 이것이 해법 발생의 만능 열쇠는 아닐뿐더러, (4) 발상을 촉진하는 데는 교육공학적으로 더 정교한 배려가 필요하므로, (5) 초보 단계에서 행동 수정을 위한 치유 목적으로 사용됨이 바람직하다.

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생활용수 수요추정방법 개선에 의한 하수발생량 예측에 관한 연구 (A study on the prediction of the generation of domestic sewage by improvement of water demand estimation)

  • 김재윤
    • 한국환경과학회지
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    • 제11권12호
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    • pp.1275-1279
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    • 2002
  • This study was performed to improve water demand estimation and analize correlation between generation of domestic sewage and domestic water use. To improve the prediction of water demand estimation, new water demand equation was developed. The results is as follows. $InQ_t = {\beta}_0+{\beta}_1InP_t+{\beta}_2InY_t+{\beta}_3InH_t+{varepsilon}_t$By using the statistical analysis of the "generation of domestic sewage" and "domestic water use", the regression equation between them is formed. The result is as follows. Generation of domestic sewage : 0.8487 $\times$ Domestic water use + 684.57 ($R^2$= 0.972)>$R^2$= 0.972)

Analysis and Design of a Multi-resonant Converter with a Wide Output Voltage Range for EV Charger Applications

  • Sun, Wenjin;Jin, Xiang;Zhang, Li;Hu, Haibing;Xing, Yan
    • Journal of Power Electronics
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    • 제17권4호
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    • pp.849-859
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    • 2017
  • This paper illustrates the analysis and design of a multi-resonant converter applied to an electric vehicle (EV) charger. Thanks to the notch resonant characteristic, the multi-resonant converter achieve soft switching and operate with a narrowed switching frequency range even with a wide output voltage range. These advantages make it suitable for battery charging applications. With two more resonant elements, the design of the chosen converter is more complex than the conventional LLC resonant converter. However, there is not a distinct design outline for the multi-resonant converters in existing articles. According to the analysis in this paper, the normalized notch frequency $f_{r2n}$ and the second series resonant frequency $f_{r3n}$ are more sensitive to the notch capacitor ratio q than the notch inductor ratio k. Then resonant capacitors should be well-designed before the other resonant elements. The peak gain of the converter depends mainly on the magnetizing inductor ratio $L_n$ and the normalized load Q. And it requires a smaller $L_n$ and Q to provide a sufficient voltage gain $M_{max}$ at ($V_{o\_max}$, $P_{o\_max}$). However, the primary current increases with $(L_nQ)^{-1}$, and results in a low efficiency. Then a detailed design procedure for the multi-resonant converter has been provided. A 3.3kW prototype with an output voltage range of 50V to 500V dc and a peak efficiency of 97.3 % is built to verify the design and effectiveness of the converter.

Current Understanding of the Mechanism of qE, a Major Component of Non-photochemical Quenching in Green Plants

  • Zulfugarov Ismayil S.;Mishra Sujata R.;Han, Ok-Kyung;Safarova Rena B.;Nath Krishna;Lee, Choon-Hwan
    • Journal of Photoscience
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    • 제12권3호
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    • pp.175-183
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    • 2005
  • Plants dissipate excess excitation energy from their photosynthetic apparatus by a process called non-photochemical quenching (NPQ). The major part of NPQ is energy dependent quenching (qE) which is dependent on the thylakoid pH and regulated by xanthophyll cycle carotenoids associated with photosystem (PS) II of higher plants. The acidification of the lumen leads to protonation and thus conformational change of light harvesting complex (LHC) proteins as well as PsbS protein of PSII, which results in the induction of qE. Although physiological importance of qE has been well established, the mechanistic understanding is rather insufficient. However, recent finding of crystal structure of LHCII trimer and identification of qE mutants in higher plants and algae enrich and sharpen our understanding of this process. This review summarizes our current knowledge on the qE mechanism. The nature of quenching sites and components involved in this process, and their contribution and interaction for the generation of qE appeared in the proposed models for the qE mechanism are discussed.

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Biochemical Analysis of Interaction between Kringle Domains of Plasminogen and Prion Proteins with Q167R Mutation

  • Lee, Jeongmin;Lee, Byoung Woo;Kang, Hae-Eun;Choe, Kevine K.;Kwon, Moosik;Ryou, Chongsuk
    • Journal of Microbiology and Biotechnology
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    • 제27권5호
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    • pp.1023-1031
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    • 2017
  • The conformational change of cellular prion protein ($PrP^C$) to its misfolded counterpart, termed $PrP^{Sc}$, is mediated by a hypothesized cellular cofactor. This cofactor is believed to interact directly with certain amino acid residues of $PrP^C$. When these are mutated into cationic amino acid residues, $PrP^{Sc}$ formation and prion replication halt in a dominant negative (DN) manner, presumably due to strong binding of the cofactor to mutated $PrP^C$, designated as DN PrP mutants. Previous studies demonstrated that plasminogen and its kringle domains bind to PrP and accelerate $PrP^{Sc}$ generation. In this study, in vitro binding analysis of kringle domains of plasminogen to Q167R DN mutant PrP (PrPQ167R) was performed in parallel with the wild type (WT) and Q218K DN mutant PrP (PrPQ218K). The binding affinity of PrPQ167R was higher than that of WT PrP, but lower than that of PrPQ218K. Scatchard analysis further indicated that, like PrPQ218K and WT PrP, PrPQ167R interaction with plasminogen occurred at multiple sites, suggesting cooperativity in this interaction. Competitive binding analysis using $\small{L}$-lysine or $\small{L}$-arginine confirmed the increase of the specificity and binding affinity of the interaction as PrP acquired DN mutations. Circular dichroism spectroscopy demonstrated that the recombinant PrPs used in this study retained the ${\alpha}$-helix-rich structure. The ${\alpha}$-helix unfolding study revealed similar conformational stability for WT and DN-mutated PrPs. This study provides an additional piece of biochemical evidence concerning the interaction of plasminogen with DN mutant PrPs.

다방향불규칙파 조파수조의 조파특성에 관한 연구 (A Study on the Wave Generating Characteristics of the Multi-directional Irregular Wave Basin)

  • 손병규;류청로
    • 한국수산과학회지
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    • 제34권6호
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    • pp.705-712
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    • 2001
  • 다방향불규칙파 조파장치를 이용하여 평면수조내의 발생파의 특성과 목표스펙트럼의 재현성 및 대표파의 통계적인 안정과 선형적인 관계를 검토하여 유효조파영역 및 모형구조물의 설치대상 영역을 검정하였다. 주요한 결과를 요약하면 다음과 같다. 다방향불규칙파에 의한 발생파의 특성과 목표스펙트럼의 재현성은 양호한 결과를 얻었으며, 이들 결과로부터 유효조파영역 및 대표적인 파랑의 재현성이 높은 영역을 설정할 수 있었다. 유효조파영역에서 얻어진 관측자료인 대표파는 통계적으로 안정하였으며, spectrum peakedness parameter $Q_p$와 평균 run-length, $Q_p$$U_r$로서 대표파의 선형적인 관계를 나타낼 수 있었다.

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나노실리카와 TEOS가 함유된 친수성 코팅액의 태양광 유리팬널에 미치는 표면 특성 연구 (Effect of nanosilica and TEOS in hydrophilic coating solution on the surface characteristics of solar cell glass panel)

  • 이수;김승혜;황헌
    • 한국응용과학기술학회지
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    • 제34권1호
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    • pp.152-162
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    • 2017
  • 태양광 발전의 효율을 높이기 위한 실란 커플링제와 나노 무기산화물을 첨가한 계면활성제를 이용한 친수성 코팅액을 제조하여 태양광 모듈의 유리 표면에 도포하여 김서림 방지(antifogging) 및 내오염성(antifouling)을 부여하였다. 1% 친수성 코팅액에 나노 무기산화물인 $Ludox^{(R)}$를 첨가한 경우 $Ludox^{(R)}$의 농도에 관계없이 초친수성과 우수한 antifogging 효과를 나타내었다. 그러나 유리에 대한 antifouling 효과는 $Ludox^{(R)}$를 10% 이상 첨가하였을 때부터 발현되었다. 또한, pH 4에서 가수분해한 TEOS를 첨가한 코팅액의 경우 TEOS를 0.7% 첨가한 경우 steam test 결과 antifogging 효과를 유지하였으며, 코팅한 유리 표면을 젖은 킴와이프로 100회 문지른 후에도 pollution test 결과 antifouling 효과를 유지하였다. 또한, AFM을 이용하여 표면 거칠기($R_q$)를 확인한 결과 TEOS를 너무 많이 첨가하면 가장 높은 표면 거칠기 값을 보였으며 코팅된 표면의 상태도 매우 불규칙하였다. TEOS가 0.7% 첨가된 경우 비교적 높은 표면 거칠기 값과 안정된 표면 상태를 나타내었다. 결론적으로 김서림 방지 특성만을 위하여는 나노 무기산화물인 $Ludox^{(R)}$는 필요없으나, antifouling의 효과를 나타내기 위해서는 최소 10%의 $Ludox^{(R)}$가 첨가되어야 하며, 우수한 내구성을 나타내기 위해서는 0.7%의 TEOS를 첨가해야 한다.

Tetrodotoxin 중독가토(中毒家兎)의 심전도학적(心電圖學的) 연구(硏究) (An Electrocardiographic Study on Tetrodotoxin Intoxicated Rabbits)

  • 박용국;신홍기;김기순
    • The Korean Journal of Physiology
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    • 제10권1호
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    • pp.41-48
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    • 1976
  • Tetrodotoxin (TTX) is the purified active principle responsible for tetrodon (Puffer-fish) poisoning which has long been known in the Orient. The pharmacological actions of TTX have been rather extensively investigated. Two of the most prominent effects of intravenousely administered TTX are severe hypotension and respiratory paralysis resulting from its depressant actions on tissues. This depressant actions of TTX in turn result from the selective inhibition of sodium-carrying mechanism which is essential to generation of the action potential. TTX differs from local anesthetics in that it does not affect potassium conductance. Although the mechanism of the hypotensive action of TTX remains a subject of controversy, most investigator agree that TTX-induced hypotension is caused by alteration in the blood vessels rather than the heart. Not only the study on the effects of TTX on cardiac function is meager but the results of reported works are often contradictory. The present study was undertaken to investigate the effect of TTX on the electrocardiogram of the rabbit and to compare them with well known electrocardiographical characteristics found in digitalis and quinidine intoxicated animals. The results obtained from the present study are summarized as follows. 1. No changes were found in P-R interval and QRS duration after i.v. administration of $1.0\;{\mu}g/kg\;to\;1.5\;{\mu}g/kg$ TTX to the animals. It is obvious that there were no conduction disturbance between atria and ventricles as well as in the ventricular tissue. 2. In $1.0\;{\mu}g/kg$ TTX group, S-T interval and T-P segment were not changed whereas marked changes were observed in $1.5\;{\mu}g/kg$ TTX group. 3. The first and second degree A-V blocks appeared in the $2.0\;{\mu}g/kg$ TTX group. 4. TTX differs from digitalis and quinidine in that it does not cause S-T interval depression and T-wave inversion. In contrast with digitalis, TTX caused Q-T interval prolongation.

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