• Title/Summary/Keyword: (p, q, r)-generation

Search Result 12, Processing Time 0.023 seconds

GENERATING PAIRS FOR THE SPORADIC GROUP Ru

  • Darafsheh, M.R.;Ashrafi, A.R.
    • Journal of applied mathematics & informatics
    • /
    • v.12 no.1_2
    • /
    • pp.143-154
    • /
    • 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
    • /
    • v.10 no.1_2
    • /
    • pp.167-174
    • /
    • 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.

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

  • Jo, Dong-Ho
    • Communications of Mathematical Education
    • /
    • v.3
    • /
    • pp.229-249
    • /
    • 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.

  • PDF

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

  • 김재윤
    • Journal of Environmental Science International
    • /
    • v.11 no.12
    • /
    • pp.1275-1279
    • /
    • 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
    • /
    • v.17 no.4
    • /
    • pp.849-859
    • /
    • 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
    • /
    • v.12 no.3
    • /
    • pp.175-183
    • /
    • 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.

  • PDF

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
    • /
    • v.27 no.5
    • /
    • pp.1023-1031
    • /
    • 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.

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

  • SOHN Byung-Kyu;RYU Cheong-Ro
    • Korean Journal of Fisheries and Aquatic Sciences
    • /
    • v.34 no.6
    • /
    • pp.705-712
    • /
    • 2001
  • It is of great importance to represent the directional ocean waves in a laboratory basin for hydraulic model tests. The directional ocean waves can be expressed as a linear superposition of a large number of component waves with different frequencies and propagating directions. The aim of the study is to check the wave generating characteristics by serpent-type wave generating system in PKNU (Pukyong National University) which is composed of 10 piston-type wave generators. In the experiment, spatial variation of irregular wave heights and propagating angles are measured in the multi-directional wave maker basin. Target wave directional spectrum is reproduced in the area of multi-directional wave maker basin. The directional spreading of the generated waves varied spacially in the basin. They differed from target spectrum as the measurement point becomes far from the center line normal to the generator face, The effective generation area where that target can be reproduced is limited to the triangular area attached the generator face. According to the results, it is emphasized that the effective experiment area in the basin considered wave generator characteristics should be determined in consideration of experimental conditions including structural shapes, water depth, wave directionality etc.

  • PDF

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

  • Lee, Soo;Kim, Seung Hye;Hwang, Heon
    • Journal of the Korean Applied Science and Technology
    • /
    • v.34 no.1
    • /
    • pp.152-162
    • /
    • 2017
  • A hydrophilic coating solution was prepared by adding a silane coupling agent and a nano-inorganic oxide in aqueous surfactant solution to increase the efficiency of photovoltaic power generation due to the introduction of antifogging and antifouling properties on the glass surface of the solar cell module. Addition of $Ludox^{(R)}$, a nano-inorganic oxide, to 1% hydrophilic coating solution showed improved hydrophilicity and excellent antifogging effect regardless of $Ludox^{(R)}$ concentration. However, the antifouling effect on the glass surface was showed only when Ludox was added more than 10%. In the case of addition of 0.7% of hydrolyzed TEOS at pH 4, the antifogging effect was maintained as a result of the steam test as well as the antifouling effect even after the coated glass surface was rubbed 100 times with a wet Kimwipe. In addition, from the surface roughness ($R_q$) calculated using AFM data, the higher surface roughness with irregular surface shape was obtained with the higher concentration of TEOS. The addition of 0.7% of TEOS showed relatively high surface roughness and well organized surface condition which can help to improve transmittance of light. In conclusion, $Ludox^{(R)}$ is not required only for the antifogging property. However, at least 10% of Ludox should be added to show antifouling effect and 0.7% of TEOS should be added for good durability.

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

  • Park, Yong-Kuk;Shin, Hong-Kee;Kim, Kee-Soon
    • The Korean Journal of Physiology
    • /
    • v.10 no.1
    • /
    • pp.41-48
    • /
    • 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.

  • PDF