• 제목/요약/키워드: K-C number

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A COMPLETE FORMULA FOR THE ORDER OF APPEARANCE OF THE POWERS OF LUCAS NUMBERS

  • Pongsriiam, Prapanpong
    • 대한수학회논문집
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    • 제31권3호
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    • pp.447-450
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    • 2016
  • Let $F_n$ and $L_n$ be the nth Fibonacci number and Lucas number, respectively. The order of appearance of m in the Fibonacci sequence, denoted by z(m), is the smallest positive integer k such that m divides $F_k$. Marques obtained the formula of $z(L^k_n)$ in some cases. In this article, we obtain the formula of $z(L^k_n)$ for all $n,k{\geq}1$.

Antitimor Activity of Some Phytobased Polysaccharides and their Effects on the Immune Function

  • Moon, Chang-Kiu;Sim, Kyl-Soon;Lee, Soo-Hwan;Park, Kwang-Sik;Pyo, Yun-Yeo;Ha, Bae-Jin;Lee, Chong-Chul
    • Archives of Pharmacal Research
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    • 제6권2호
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    • pp.123-131
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    • 1983
  • Polysaccharide fractions were prepared from Ginseng root, Mori Radicis Cortex (M. R. C. ), Phellodendri Cortex (Ph. C. ), Sappan Wood (S. W. ) and Tigli Semen (T. S.). Water extract was also prepared from the mixture of ph. C., S. W. and T. S. Ginseng polysaccharide and water extract of the mixture showed marked antitumor activity against sarcoma 180. Ginseng polysaccharide showed a mild increasing effect on the number of circulating leucocytes and a marked increasing effect on the number leucocytes and a marked increasing effect on the number of plaque forming cells (PEC). Polysaccharides from ginsing root, S. W., Ph. C. + T. S. and water extract of the mixture showed dramatic inducing activities of periotoneal exudate cells (PEC), polymorphonuclear leucocytes (PMN) and macrophages. These results suggest the possibility that water extract of the mixture may have the lentinan like effect and ginseng polysaccharide may have stimulating effects on the general immune system.

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파장 라우팅 광학 네트워크-온-칩에서의 최소 개수 파장 할당 기법 (A Minimum Wavelength Assignment Technique for Wavelength-routed Optical Network-on-Chip)

  • 김영석;이재훈;최적;한태희
    • 전자공학회논문지
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    • 제50권10호
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    • pp.82-90
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    • 2013
  • 실리콘 포토닉스 기반의 광학 네트워크-온-칩(Optical NoC, ONoC)은 차세대 엑사스케일 컴퓨팅(Exascale computing)을 위한 유망 아키텍처 기술 중 하나이다. 최근 들어 활발해지고 있는 ONoC의 연구들은 파장 분할 다중화(Wavelength Division Multiplexing, WDM)를 이용하여 대역폭을 더욱 향상시키고 광신호의 경로 충돌을 방지하는데 초점을 두고 있다. 하지만 기존 ONoC 연구에서는 중앙 집중형 라우터 구조 위주로 Processing Element(PE)의 수가 증가함에 따라 WDM을 위해 사용되는 파장 수가 선형적으로 증가한다. 이러한 파장 수의 증가는 다중 파장을 위한 광원 및 광학 스위치 등 광학 장치를 구성하기 위한 비용을 증가시키고 광신호의 상호 간섭에 의한 감쇄 효과 등으로 ONoC의 확장성을 제한한다. 본 논문에서는 WDM 기반 2D-mesh 구조의 ONoC를 위한 분산형 광학 라우팅 아키텍처를 제안하고 커뮤니케이션의 연결정도에 따라 필요한 파장 수를 최소화하는 방법을 제시하였다. 기존 중앙 집중형 라우팅 아키텍처와 비교하여 $8{\times}8$ 네트워크에서 평균 56% 파장 수와, 21%의 광학 스위치 수를 감소시켰다.

중·노년층의 전근증상에 대한 간정격 활용의 증례군 분석 (Case Series Study of Liver-Tonification Acupuncture Treatment for Muscle Cramp of Middle-aged and Elderly)

  • 이득수;이규영;박상신
    • 한방재활의학과학회지
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    • 제30권1호
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    • pp.115-123
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    • 2020
  • Objectives The aim of this study was to investigate the effects of liver-tonification acupuncture (LTA) on periodic muscle cramps (MC). Methods We retrospectively reviewed medical records of 28 patients treated for periodic MC with LTA in a Korean medicine clinic. Patients were treated with (A) LTA alone, (B) LTA and treatments for myofascial meridian, or (C) LTA and treatments for other diseases. We mainly investigated effectiveness of treatments, the number of treatments, the number of relapses, and time to relapse. Results After treatments, periodic MC disappeared in all patients except two in group C. The number of treatments in group C was significantly greater than that of group A (p<0.05). Periodic MC recurred in one patient in each of groups A and C, but symptoms disappeared after re-treatments. Periodic MC did not recur for a median of 7.0, 8.5, and 5.0 weeks in groups A, B, and C, respectively. Conclusions We found some therapeutic effects of LTA treatments for periodic MC in middle-aged and elderly patients.

더덕 속 식물의 부정근 유도와 증식 (Induction and Proliferation of Adventitious Roots in Codonopsis spp.)

  • 김지아;박응준;최용의
    • 한국약용작물학회지
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    • 제20권6호
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    • pp.493-499
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    • 2012
  • We have established adventitious root culture systems of Codonopsis lanceolata, Codonopsis pilosula and Codonopsis ussuriensis. Root segments of C. lanceolata were the best explants for induction of adventitious roots and the number of adventitious root for explant was highest on solid medium with $0.5mg/{\ell}$ NAA and produced $18.8{\pm}1.9$ roots per explant. Root segments of C. pilosula were the best explants for induction of adventitious roots and the number of adventitious root for explant was highest on solid medium with $1.0mg/{\ell}$ NAA and produced $8.5{\pm}1.8$ roots per explant. Leaf segments of C. ussuriensis were the best explants for induction of adventitious roots and the number of adventitious root for explant was highest on solid medium with $0.5mg/{\ell}$ NAA and produced $7.8{\pm}0.4$ roots per explant. In liquid culture, the best production of adventitious root (fresh weight) was obtained in 1/2 MS medium with $1.0mg/{\ell}$ NAA. This study demonstrated for the first time to produce adventitious roots in C. pilosula and C. ussuriensis.

Effect of C/N Ratio on the Production of Poly(3-hydroxyalkanoates) by the Methylotroph Paracoccus denitrificans

  • Kim, Byung-Ki;Yoon, Sung-Chul;Nam, Jae-Do;Lenz, Robert-W.
    • Journal of Microbiology and Biotechnology
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    • 제7권6호
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    • pp.391-396
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    • 1997
  • Two series of carbon sources, linear primary $C_1$~$C_9$ alcohols and linear $C_2$~$C_{10}$ monocarboxylic acids were tested for PHA synthesis in Paracoccus denitrificans. The results showed that the growth-associated synthesis of PHA could be referred only to the carbon sources with odd number of carbon except methanol. For all carbon sources with even number of carbon, nitrogen limitation was required to induce PHA synthesis in P. denitrificans. Poly(3-hydroxyvalerate)[P(3HV)] homopolymer was synthesized from $C_5$, $C_7$, and $C_9$ while growing in the presence of nitrogen, but the nitrogen depletion in the later growth period incorporated 3-hydroxybutyrate(3HB) unit into the polymer chain. The optimum C/N ratio for P(3HV) homopolymer production was found to be 10 when the strain was grown on 10 ml/l of valeric acid for 96 h. P. denitrificans synthesized P(3HB-co-3HV) copolymers from n-hexanoic and n-octanoic acid. The microstructural characterics of the P(3HB-co-3HV) copolymer from n-propanol was investigated using $^13C$-nuclear magnetic resonance spectroscopy, showing a structural heterogeneity.

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Rotifer, Keratella sp.의 성장을 위한 최적 염분 및 수온 조건 (The Optimal Salinity and Temperature Condition for the Growth of Rotifer, Keratella sp.)

  • 이배익;김신권;권오남;박흠기;박진철
    • 수산해양교육연구
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    • 제25권5호
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    • pp.1205-1213
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    • 2013
  • We investigated the optimum salinity and temperature conditions for the mass culture of small rotifer, Keratella sp.. In the salinity experiment ranging from 0-34‰, the population growth of Keratella sp. drastically increased continuously up to 15‰, and then slightly increased over 20‰. Their maximum density reached 1,007 inds./mL at 0‰. A pre-reproductive phase was shorter in low salinity than in high salinity. The highest number of offspring per female (10.2 inds.) and lifespan of the female (10.7 days) were obtained at 0‰, but there were no significant differences compared to those at 5‰. In the temperature experiments ranging from 16-$32^{\circ}C$, the highest maximum density (1,766 inds./mL) was shown at $24^{\circ}C$. The number of offspring per female significantly increased with increasing temperature, and the highest number of offspring per female was 10.4 inds. at $24^{\circ}C$. The lifespan of female increased with decreasing temperature and the longest lifespan was 12.8 days at $16^{\circ}C$.

A NOTE ON REPRESENTATION NUMBERS OF QUADRATIC FORMS MODULO PRIME POWERS

  • Ran Xiong
    • 대한수학회보
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    • 제61권4호
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    • pp.907-915
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    • 2024
  • Let f be an integral quadratic form in k variables, F the Gram matrix corresponding to a ℤ-basis of ℤk. For r ∈ F-1k, a rational number n with f(r) ≡ n mod ℤ and a positive integer c, set Nf(n, r; c) := #{x ∈ ℤk/cℤk : f(x + r) ≡ n mod c}. Siegel showed that for each prime p, there is a number w depending on r and n such that Nf(n, r; pν+1) = pk-1Nf(n, r; pν) holds for every integer ν > w and gave a rough estimation on the upper bound for such w. In this short note, we give a more explicit estimation on this bound than Siegel's.

The Endophyte Curtobacterium flaccumfaciens Reduces Symptoms Caused by Xylella fastidiosa in Catharanthus roseus

  • Lacava, Paulo Teixeira;Li, Wenbin;Araujo, Welington Luiz;Azevedo, Joao Lucio;Hartung, John Stephen
    • Journal of Microbiology
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    • 제45권5호
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    • pp.388-393
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    • 2007
  • Citrus variegated chlorosis (CVC) is a disease of the sweet orange [Citrus sinensis (L.)], which is caused by Xylella fastidiosa subsp. pauca, a phytopathogenic bacterium that has been shown to infect all sweet orange cultivars. Sweet orange trees have been occasionally observed to be infected by Xylella fastidiosa without evidencing severe disease symptoms, whereas other trees in the same grove may exhibit severe disease symptoms. The principal endophytic bacterial species isolated from such CVC-asymptomatic citrus plants is Curtobacterium flaccumfaciens. The Madagascar periwinkle [Citrus sinensis (L.)] is a model plant which has been used to study X. fastidiosa in greenhouse environments. In order to characterize the interactions of X. fastidiosa and C. flaccumfaciens, periwinkle plants were inoculated separately with C. flaccumfaciens, X. fastidiosa, and both bacteria together. The number of flowers produced by the plants, the heights of the plants, and the exhibited disease symptoms were evaluated. PCR-primers for C. flaccumfaciens were designed in order to verify the presence of this endophytic bacterium in plant tissue, and to complement an existing assay for X. fastidiosa. These primers were capable of detecting C. flaccumfaciens in the periwinkle in the presence of X. fastidiosa. X. fastidiosa induced stunting and reduced the number of flowers produced by the periwinkle. When C. flaccumfaciens was inoculated together with X. fastidiosa, no stunting was observed. The number of flowers produced by our doubly- inoculated plants was an intermediate between the number produced by the plants inoculated with either of the bacteria separately. Our data indicate that C. flaccumfaciens interacted with X. fastidiosa in C. roseus, and reduced the severity of the disease symptoms induced by X. fastidiosa. Periwinkle is considered to be an excellent experimental system by which the interaction of C. flaccumfaciens and other endophytic bacteria with X. fastidiosa can be studied.

D대학 수변전설비의 고장모드 영향 분석 (Failure Modes and Effects Analysis for Electric Power Installations of D University)

  • 박영호;김두현
    • 한국안전학회지
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    • 제31권5호
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    • pp.7-15
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    • 2016
  • The purpose of this paper is to carry out Failure Modes and Effects Analysis (FMEA) and use criticality in order to determine risk priority number of the components of electric power installations in Engineering college building of D university. In risk priority number, GROUP A had 7 failure modes; more specifically, Transfomer had 4 modes, Filter(C)(1 mode), LA(1 mode), and CB(MCCB)(1 mode), and thus 4 components had failure modes. In terms of criticality, high-grade group a total of 16 failure modes, and 7 components-LA(1 mode), CB(MCCB)(1 mode), MOF(2 modes), PT(1 mode), Transformer(7 modes), Cable(3 modes), and Filter(C)(1 mode)-had failure modes. Comparison of risk priority number and criticality was made. The components which had high risk priority number and high criticality were Transformer, Filter(C), LA, and CB(MCCB). The components which had high criticality were MOF and cable. In particular, Transformer(RPN: 4 modes, Criticality: 7 modes) was chosen as an intensive management component.