• Title/Summary/Keyword: W L R

Search Result 915, Processing Time 0.028 seconds

THE HARMONIC ANALYSIS ASSOCIATED TO THE HECKMAN-OPDAM'S THEORY AND ITS APPLICATION TO A ROOT SYSTEM OF TYPE BCd

  • Trimeche, Khalifa
    • Korean Journal of Mathematics
    • /
    • v.27 no.1
    • /
    • pp.221-267
    • /
    • 2019
  • In the five first sections of this paper we define and study the hypergeometric transmutation operators $V^W_k$ and $^tV^W_k$ called also the trigonometric Dunkl intertwining operator and its dual corresponding to the Heckman-Opdam's theory on ${\mathbb{R}}^d$. By using these operators we define the hypergeometric translation operator ${\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, and its dual $^t{\mathcal{T}}^W_x$, $x{\in}{\mathbb{R}}^d$, we express them in terms of the hypergeometric Fourier transform ${\mathcal{H}}^W$, we give their properties and we deduce simple proofs of the Plancherel formula and the Plancherel theorem for the transform ${\mathcal{H}}^W$. We study also the hypergeometric convolution product on W-invariant $L^p_{\mathcal{A}k}$-spaces, and we obtain some interesting results. In the sixth section we consider a some root system of type $BC_d$ (see [17]) of whom the corresponding hypergeometric translation operator is a positive integral operator. By using this positivity we improve the results of the previous sections and we prove others more general results.

Synthesis and Crystal Structure of Tetrakis(2-ethylimidazole)bis(thiocyanate-N) nickel(II) Complex (Tetrakis(2-ethylimidazole)bis(thiocyanate-N) nickel(II) 착물의 합성 및 결정구조)

  • 김인회;조지연;김종혁;김종승;서일환
    • Korean Journal of Crystallography
    • /
    • v.12 no.4
    • /
    • pp.222-226
    • /
    • 2001
  • The title complex, $Ni(L)_4(NCS)_2$(1) (L=2-ethylimidazole) has been synthesized and charac-terized by X-ray single crystallography. The complex 1 crystallizes in the tertragonal system P4nc space group with a=10.587(2), $c=12.927(3){\AA}$, Z=2m, $R_1$=0.581 and $wR_$=0.1675 for 672 independent reflection. The central Ni(II) atom of the complex has a regular octa-hedral coordination geometry, with the 2-ethylimidazole ligands bonding through nitrogen atom and the isothiocyanate ligands bonding through nitrogen atom in a trans arrangement.

  • PDF

Crystal Structure of Three-Dimensional Nickel(II) Tetraaza Macrocyclic Complex Linked by Hydrogen-Bonds (수소 결합에 의한 이차원의 Nickel(II) Tetraaza 거대 고리 착물 결합구조)

  • Park, Ki-Young;Choo, Geum-Hong;Suh, Il-Hwan
    • Korean Journal of Crystallography
    • /
    • v.13 no.1
    • /
    • pp.12-16
    • /
    • 2002
  • The complex [Ni(L)](BDC)·4H₂O (1) (L = 3,14-dimethyl-2,6,13,17-tetraazatricyclo[16,4,O/sup 1.18/,O/sup 7.12/] docosane; BDC = 1,3-benzenedicarboxylate) has been synthesized and characterized by X-ray crystallography. Compound 1 crystallizes in the orthorhombic space group Pcnb, with a = 8.764(2) , b = 17.687(2) , c = 19.475(1) , V = 3018.7(8) ³, Z = 4, R₁, (wR₂) for 2148 observed reflections of [1>2σ(I) was 0.0822 (0.2236). Compound 1 is interconnected to give a three-dimensional network through weak hydrogen-bonding interactions.

Crystal Structure of Two-Dimensional Bis(isonicotinato)tet-raaquazinc(II) Complex Linked by Hydrogen-Bonds (수소 결합에 의한 이차원의 Bis(isonicotinato)tetraaquazinc(II) 착물의 결정구조)

  • Park, Ki-Young;Kim, Moon-Jip;Suh, Il-Hwan
    • Korean Journal of Crystallography
    • /
    • v.13 no.1
    • /
    • pp.17-20
    • /
    • 2002
  • The complex [Zn(L)₂(H₂O)₄] (1) (L = isonicotinate) has been prepared and characterized by X-ray crystallography. Compound 1 crystallizes in the triclinic space group P1, with a = 6.9062(4) , b = 9.2618(7) , c = 6.3313(3) , α = 104.986(6)°, β = 112.865(4)°, γ = 96.213(6)°, V = 350.41(4) , Z = 1, R₁(wR₂) for 1225 observed reflections of [I > 2σ(I)] was 0.0209 (0.0591). The coordination environment of the zinc atom can be described as an octahedron in which the isonicotinato ligands are mutually trans. Compound 1 is also connected into a two-dimensional chain via hydrogen-bonds.

Growth Inhibition of Listeria monocytogenes by Weissella spp. from Kimchi Through Real-time PCR (실시간 정량 PCR을 통한 김치 유래 Weissella spp.에 의한 Listeria monocytogenes 생육 억제)

  • Lee, Young-Duck;Kim, Dae-Yong;Park, Jong-Hyun
    • Journal of Food Hygiene and Safety
    • /
    • v.30 no.1
    • /
    • pp.103-108
    • /
    • 2015
  • Weissella spp. from traditional Korean foods of Kimchi were isolated and characterized against food-borne pathogenic Listeria monocytogens. The isolates were identified as W. cibaria 0D17 and W. confusa 0D23 from Kimchi by the biochemical characteristics and 16S DNA sequencing. The culture solutions of the isolates adjusted to pH 7.0 showed L. monocytogens inhibition. To analyze the quantitative detection of L. monocytogenes, real-time PCR was performed according to the SYBR Green I method. The isolates grew well and L. monocytogens did not grow during the co-culture with those strains at $37^{\circ}C$. Therefore, W. cibaria 0D17 and W. confusa 0D23 might be the candidates as the functional lactic acid bacteria for improving food safety.

Abstracts of Research Papers in Poultry Science (가금학 분야 연구 논문 초록)

  • 세계가금학회한국지부
    • Korean Journal of Poultry Science
    • /
    • v.4 no.1
    • /
    • pp.66-74
    • /
    • 1977
  • 닭의 혈액상에 관한 발표는 많으나 아직 우리나라에서의 보고는 거의 없다. 이에 산난능력이 우수한 닭과 병계에 대한 앞으로의 혈액학적 연구를 위한 기초적자료를 얻고저 임상적으로 건강한 소위 한국 재내종(LCH)과 백색레그혼 (WLH)암탉의 정상 혈액학치 즉 적혈구, 백혈구, 혈색소, 헤마토크리프. 평균적혈구 용적, 평균 적혈구 혈색소량. 평균 적혈구 혈색소 농도 등을 조사하였다. 1 R.B.C.는 L.C.H.에서 3.18$\pm$0.10million per c$\mu$. mm였으며 W.L.H.는 3.23$\pm$0.05였다. 2. W.B.C.는 L.C.H에서 42.17$\pm$3.35, thousand per. c$\mu$mm였으며 W.L.H.는 35.64$\pm$2.89였다. 3. Hemoglobin치는 L.C.H.에서 11.24$\pm$0.30gm per 100$m\ell$였으며 WL.H.는 38.40$\pm$0.75였다. 4. Hematocrit치는 L.C.H.에서 34.00$\pm$0,98 percent였으며, W.L.H.는 33.40$\pm$0.75였다. 5. M.C.V.는 L.C.H에서 103.66$\pm$1.22 c$\mu$ 였으며, W.L.H.는 103.32$\pm$1.28이였다. 6. M.C.H,는 C.L.H.에서 34.19$\pm$0.41 $\mu$ $\mu\textrm{g}$9였으며. W.L.H,는 34.37$\pm$0.31이었다. 7. M.C.H.C는 L.C.H.에서 33.09$\pm$0.22 percent였으며, W.L.H.는 33.25$\pm$0.36 0.36이었다. (중략)

  • PDF

Study on the Travel and Tractive Characteristics of the Two-Wheel Tractor on the General Slope Land(III)-Tractive Performance of Power Tiller- (동력경운기의 경사지견인 및 주행특성에 관한 연구 (III)-동력경운의 경사지 견인성능-)

  • 송현갑;정창주
    • Journal of Biosystems Engineering
    • /
    • v.3 no.2
    • /
    • pp.35-61
    • /
    • 1978
  • To find out the power tiller's travel and tractive characteristics on the general slope land, the tractive p:nver transmitting system was divided into the internal an,~ external power transmission systems. The performance of power tiller's engine which is the initial unit of internal transmission system was tested. In addition, the mathematical model for the tractive force of driving wheel which is the initial unit of external transmission system, was derived by energy and force balance. An analytical solution of performed for tractive forces was determined by use of the model through the digital computer programme. To justify the reliability of the theoretical value, the draft force was measured by the strain gauge system on the general slope land and compared with theoretical values. The results of the analytical and experimental performance of power tiller on the field may be summarized as follows; (1) The mathematical equation of rolIing resistance was derived as $$Rh=\frac {W_z-AC \[1+ \frac{sl}{K} \(\varrho ^{-\frac{sl}{K}-1\)\] sin\theta_1}} {tan\phi \[1+ \frac{sl}{K} \(\varrho ^{-\frac{sl}{K}-1\)\]+\frac{tan\theta_1}{1}$$ and angle of rolling resistance as $$\theta _1 - tan^1\[ \frac {2T(AcrS_0 - T)+\sqrt (T-AcrS_0)^2(2T)^2-4(T^2-W_2^2r^2)\times (T-AcrS_0)^2 W_z^2r^2S_0^2tan^2\phi} {2(T^2-W_z^2r^2)S_0tan\phi}\] $$and the equation of frft force was derived as$$P=(AC+Rtan\phi)\[1+ \frac{sl}{K} \(\varrho ^{-\frac{sl}{K}-1\)\]cos\phi_1 \ulcorner \frac {W_z \ulcorner{AC\[ [1+ \frac{sl}{K} \(\varrho ^{-\frac{sl}{K}-1\)\]sin\phi_1 {tan\phi[1+ \frac{sl}{K} \(\varrho ^{-\frac{sl}{K}-1\]+ \frac {tan\phi_1} { 1} \ulcorner W_1sin\alpha $$The slip coefficient K in these equations was fitted to approximately 1. 5 on the level lands and 2 on the slope land. (2) The coefficient of rolling resistance Rn was increased with increasing slip percent 5 and did not influenced by the angle of slope land. The angle of rolling resistance Ol was increasing sinkage Z of driving wheel. The value of Ol was found to be within the limits of Ol =2\ulcorner "'16\ulcorner. (3) The vertical weight transfered to power tiller on general slope land can be estim ated by use of th~ derived equation: $$R_pz= \frac {\sum_{i=1}^{4}{W_i}} {l_T} { (l_T-l) cos\alpha cos\beta \ulcorner \bar(h) sin \alpha - W_1 cos\alpha cos\beta$$The vertical transfer weight $R_pz$ was decreased with increasing the angle of slope land. The ratio of weight difference of right and left driving wheel on slop eland,$\lambda= \frac { {W_L_Z} - {W_R_Z}} {W_Z} $, was increased from ,$\lambda$=0 to$\lambda$=0.4 with increasing the angle of side slope land ($\beta = 0^\circ~20^\circ) (4) In case of no draft resistance, the difference between the travelling velocities on the level and the slope land was very small to give 0.5m/sec, in which the travelling velocity on the general slope land was decreased in curvilinear trend as the draft load increased. The decreasing rate of travelling velocity by the increase of side slope angle was less than that by the increase of hill slope angle a, (5) Rate of side slip by the side slope angle was defined as $ S_r=\frac {S_s}{l_s} \times$ 100( %), and the rate of side slip of the low travelling velocity was larger than that of the high travelling velocity. (6) Draft forces of power tiller did not affect by the angular velocity of driving wheel, and maximum draft coefficient occurred at slip percent of S=60% and the maximum draft power efficiency occurred at slip percent of S=30%. The maximum draft coefficient occurred at slip percent of S=60% on the side slope land, and the draft coefficent was nearly constant regardless of the side slope angle on the hill slope land. The maximum draft coefficient occurred at slip perecent of S=65% and it was decreased with increasing hill slope angle $\alpha$. The maximum draft power efficiency occurred at S=30 % on the general slope land. Therefore, it would be reasonable to have the draft operation at slip percent of S=30% on the general slope land. (7) The portions of the power supplied by the engine of the power tiller which were used as the source of draft power were 46.7% on the concrete road, 26.7% on the level land, and 13~20%; on the general slope land ($\alpha = O~ 15^\circ ,\beta = 0 ~ 10^\circ$) , respectively. Therefore, it may be desirable to develope the new mechanism of the external pO'wer transmitting system for the general slope land to improved its performance.l slope land to improved its performance.

  • PDF

Laser Damage Threshold Increase of A/R Coating Films for 200MHz AOM (A/R 코팅 변화에 따른 200MHz AOM의 laser damage threshold 증가)

  • Kim, Yong-Hun;Lee, Hang-Hun;Lee, Jin-Ho;Park, Yeong-Jun;Park, Jeong-Ho
    • Korean Journal of Materials Research
    • /
    • v.7 no.3
    • /
    • pp.213-217
    • /
    • 1997
  • AOhf(Hcousto-r)l)tic niodulator) with :!OOlIiz freclucncl- and Sfi(;(Seconrl harmonic generation) green lasel-Lvith 53% nm wavelength were used for Il\'IIII~Dii.it,ii v~ilco disk recorder) FOI rhe appli~aptin of high densit]. optical recording, a high po\ver I ~ c r is r c ~ ~ l i ~ i l - u l ic I !tic. s\-sti,m a n d optic.,~I io;iting l,t)c>rs of each optical device must have a high laser damage threshoid hie rn;itie ant] retlwtive coatings on a $TeO_{2}$ singlc crystal. which is used as an acoustooptic material, by E-beam evaporation method. Laser damage threshold \vas nicdsureci hy Ar laser with the input power oi 0.55LV 1,aser damage threiholti 01 $ZrO_{2}$ and $SiO_{2}$. filn-is were higher than $AI_{2}O_{3}$ f i l m U'e also investigated a long--tern1 stability of the output po\ver of St{(; green laser

  • PDF

Age and Growth of the Marbled Rockfish, Sebastiscus marmoratus from the Coastal Waters of Cheju Island (제주산 쏨뱅이 (Sebastiscus marmoratus)의 연령과 성장)

  • BAE Hee-Chan;CHUNG Sang-Chul
    • Korean Journal of Fisheries and Aquatic Sciences
    • /
    • v.32 no.4
    • /
    • pp.432-437
    • /
    • 1999
  • Age and growth of the marbled rockfish, Sebastiscus marmoratus were studied based on 818 specimens caught from the coastal waters of Cheju Island from July 1992 to July 1993 and from June 1994 to July 1995. According to the monthly changes of marginal increment in each annual ring groups, the ring of otolith was formed in both female and male in February. Relationship between the total body length (TL) and the radius of otolith (R) was estimated, Growth of females was rather slower than that of male in total length; TL=-0.526+4.818R(r=0.847) for female, and TL=-1.895+ 5.239R (r=0.881) for male. The growth curve fits well with Bertalanffy equation: $L_{t}=21.484(1-e^{-0.424(t+0.334)})$ for female and $L_{t}=23.698(1-e^{-0.441(t+0.0589)})$ for male, Growth in weight as follows: $W_t=163.42(1-e^{-0.424(t+0.334)})^3$ for female and $W_t=210.14(1-e^{-0.441(t+0.0589)})^3$ for male.

  • PDF