• 제목/요약/키워드: $L^p$ space

검색결과 432건 처리시간 0.029초

ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS

  • Kim, Tae-Kyun;Rim, Seog-Hoon;Simsek, Yilmaz;Kim, Dae-Yeoul
    • 대한수학회지
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    • 제45권2호
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    • pp.435-453
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    • 2008
  • In this paper, by using q-deformed bosonic p-adic integral, we give $\lambda$-Bernoulli numbers and polynomials, we prove Witt's type formula of $\lambda$-Bernoulli polynomials and Gauss multiplicative formula for $\lambda$-Bernoulli polynomials. By using derivative operator to the generating functions of $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, we give Hurwitz type $\lambda$-zeta functions and Dirichlet's type $\lambda$-L-functions; which are interpolated $\lambda$-Bernoulli polynomials and generalized $\lambda$-Bernoulli numbers, respectively. We give generating function of $\lambda$-Bernoulli numbers with order r. By using Mellin transforms to their function, we prove relations between multiply zeta function and $\lambda$-Bernoulli polynomials and ordinary Bernoulli numbers of order r and $\lambda$-Bernoulli numbers, respectively. We also study on $\lambda$-Bernoulli numbers and polynomials in the space of locally constant. Moreover, we define $\lambda$-partial zeta function and interpolation function.

수소 결합에 의한 사차원의 Copper(II) 거대고리 착물의 결정구조 (Crystal Structure of Three-Dimensional Copper(II) Macrocyclic Complex Linked by Hydrogen-Bonds)

  • Park, Ki-Young;Hong, Choon-Pyo;Lee, Hye-Ok;Choo, Geum-Hong;Suh, Il-Hwan;Kim, Jin-Gyu;Park, Young-Soo
    • 한국결정학회지
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    • 제11권2호
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    • pp.75-79
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    • 2000
  • The complex [Cu(L)(H2O)2] (PDC)(1)(L=2,5,9,12-tetramethyl-1,4,8,11- tetraazacyclotetradecane;PDC=1,4-pyridinedicarboxylate) has been synthesized and characterized by X-ray crys-tallography. The compound 1 crystallizes in the triclinic space group P1, with a=7.553(1)Å, b=9.619(2)Å, c=10.692(2)Å, α=74.22(1)°, β=73.32(1)°, γ=78.70(1)°, V=710.1(2)Å3, Z=1,R1(wR2) for 2634 observed reflections of [I>2σ(I)] was 0.0854(0.2242). The compound 1 is interconnected to give a three-dimensional network through weak hydrogen-bonding interactions.

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칼만추정과 초월함수 사영을 통한 L1 신호간의 거리 Metric에 IES을 적용한 새로운 고장진단 기법 (A New Fault Diagnosis Scheme between L1 Signals Using IES on the Metric Defined via Kalman Filter and Exponential Function Transformation)

  • 김성수
    • 전기학회논문지P
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    • 제64권1호
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    • pp.23-28
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    • 2015
  • Measuring the distances between signals in the signal space is usually determined by obtaining the ideal metric which is not easy to obtain. In this research we have investigated the scheme that measures the distances between the signals constructed with the measured voltage signals connected to electric apparatus using Kalman filter and exponential mapping. The metric is defined on the feature signals obtained via the estimation process of a Kalman filter and the mapping process using the exponential transformation. Diagnosis is on the voltage fluctuations is applied to determining whether the system is in the stable state or not due to the unexpected accidents, such as power overcharge, discharge, outages flow may be the cause of the accident. The decision making scheme evaluated with respect to the effectiveness and the degree of complication with different variances. Two methods, the Hard Limit Threshold Scheme(HLTS) and the Interval Energy Scheme(IES) are proposed and compared. In experiments the IES shows better tolerance to impulse noise than the HLTS.

Lpophilicity vs. Antitumor Activity of Carboxylatoplatinum(lV) Complexes

  • 송리타;김관묵;손윤수
    • Bulletin of the Korean Chemical Society
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    • 제21권10호
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    • pp.951-952
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    • 2000
  • Acylation of an intermediate tetrahydroxoplatinum(IV) complex, $[Pt(OH)_4(dach)]$ (dach = $trans-(\pm)-12-di-aminocyclohexane)$, with one or two kinds of carboxylic anhydrides in stepwise manner afforded various car-boxylatoplatinum(IV) complexes, $[Pt(O_2CR)\chi(OR’)4-\chi(dach)]$ (R = $(CH_2)_3CH_3$ or $C(CH_3)_3$, R’ = H or $OCCH_3$, and $\chi$ = 1-4) with a wide range of lipophilicity. The title complexes were subjected to bioassay using the murine leukemia L1210 cell line, and in particular, their in vivo oral antitumor activity was attempted to correlate with their lipophilicity and water solubility. The most orally active complex exhibited intermediate lipophilicity and water solubility, but it has been found that an exact relationship between the lipophilicity and oral anticancer activity could not be established, since the lipophilicity of the complexes is not the sole parameter to determine the oral activity. One of the important intermediate complexes partially substituted was subjected to X-ray anal-ysis for positit of the substituted group: $[Pt(OPiv)_3(OH)(dach)]$ crystallizes in the tetragonal sys-tem, space group $P42_1c$ with a = 21.161(3) $\AA$, b = 21.161(6) $\AA$, c = 12.816(3) $\AA$, $\alpha=\beta=$ r $=90^{\circ}$, V = 5739(2) $\AA^3$ and Z = 8.

Synthesis and Structure of 1,2,3,4,5-Pentamethylcyclopentadienyl-1,4-Diphenyltetraazabutadiene Complexes of Rhodium and Iridium

  • Paek ,Cheolki;Ko, Jaejung;Kang, Sangook;Patrick J.Carrol
    • Bulletin of the Korean Chemical Society
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    • 제15권6호
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    • pp.432-436
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    • 1994
  • Monomeric rhodium and iridium-diaryltetrazene complexes $Cp^*$M(RNN=NNR)($Cp^*$=1,2,3,4,5-pentamethylcyclope ntadienyl; M=Rh, Ir; R=Ph, 4-tolyl) have been synthesized from [$Cp^*MCl_2]_2$(M=Rh, Ir) and 2 equiv. of $[Li(THF)_x]_2(RN_4$R) in benzene. We have determined the crystal structure of (${\eta}^5$-pentamethylcyclopentadienyl)diphenyltetrazene iridium by using graphite-monochromated Mo-$K_a$ radiation. The compound was crystallized in the monoclinic space group $P2_{1/c}$ with a=13.781(3), b=9.035(l), c=17.699(3) ${\AA}$, and ${\beta}=111.93(l)^{\circ}$. An X-ray crystal structure of complex 1 showed a short N(2)-N(3) distance ($1.265 {\AA}$) consistent with the valence tautomer A with Ir(III) rather than Ir(I). All complexes are highly colored and decompose on irradiation at 254 nm. Electrochemical studies show that complex 1 displays a quasi-reversible reduction.

흰쥐에서 출혈성 쇼크 후 회복 시 저체온법 및 수액 치료에 따른 폐장의 염증성 변화 (Inflammatory Reponse of the Lung to Hypothermia and Fluid Therapy after Hemorrhagic Shock in Rats)

  • 장원채;범민선;정인석;홍영주;오봉석
    • Journal of Chest Surgery
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    • 제39권12호
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    • pp.879-890
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    • 2006
  • 배경: 출혈성 쇼크는 허혈 시 발생하는 산소산화물 등에 의해 체내에 여러 가지 염증반응을 일으킴으로써 각 장기의 기능부전을 초래한다. 특히 폐장은 허혈 시 조기에 폐포 세포의 투과성이 증가하여 부종, 염증세포의 침윤 및 출혈 등이 일어나 호흡부전증을 초래한다. 또한 출혈성 쇼크 시 기본적으로 시행하는 수액 요법은 간질의 부종을 일으켜 폐장의 기능을 감소시킬 수 있는 위험 요소이다. 따라서 출혈성 쇼크 후 폐장의 기능 저하를 예방하기 위해서는 폐장의 염증 반응을 줄이고 폐부종을 최소화시키는 노력이 필요하다. 대상 및 방법: $300{\sim}350$ gm 정도의 수컷 흰쥐를 이용하여 경정맥을 통해 약 3 mL/100 g의 혈액을 제거하여 평균 경동맥압 $35{\sim}40$ mmHg의 출혈성 쇼크 상태(I단계, 60분)를 유도하고 유지한 후, 제거한 혈액을 재주입하고 수액요법을 실시하여 평균 경동맥압을 80 mmHg로 유지하는 소생 상태(II 단계, 60분)를 시행한 후 약 3시간 정도 경과를 관찰(III 단계)하였다. 실험동물은 3군으로 나누어 실험하였으며 I군(n=10)은 I 단계 시 직장체온을 $37{\pm}1^{\circ}C$로 유지하고 II 단계에서 린저액을 이용하여 수액요법을 실시하였다. II 군(n=10)은 I 단계 시 직장체온을 $33{\pm}1^{\circ}C$로 유지하고 II단계에서 린저액을 이용한 수액요법을 실시하였다. III군은 I단계 시 $33{\pm}1^{\circ}C$로 체온을 유지하였고 II 단계에서 5% 알부민액을 이용하여 수액요법을 실시하였다. 각 군 모두 실험 전, I, II, III 단계 후반에 혈류역학적 인자(심박수, 평균 경동맥압), 동맥혈 가스 분석, 혈청내 포도당과 LDH, I, II단계의 투여 수액양, 기관지-폐포 세척액의 Interleukin(IL)-8을 측정하였고, 조직검사를 통해 염증반응의 정도를 조직학적 점수로 평가하였다. 결과: I군의 4예를 제외한 26예가 III단계까지 생존하였다. 각 군 간의 평균 경동맥압의 유의한 차이는 없었다. 그러나 실험 1단계에서의 채혈량은 I군은 $3.2{\pm}0.5$ mL/100 g으로 II, III 군의 $3.9{\pm}0.8$ mL/100 g, $4.1{\pm}0.7$ mL/100 g에 비해 각각 유의하게 적었다(p< 0.05). II 단계에서의 투여 수액량은 I 군 $28.6{\pm}6.0$ mL, II 군 $20.6{\pm}4.0$ mL, III 군 $14.7{\pm}2.7$ mL로 각 군 간에 통계적인 유의성이 있었다(p<0.05). 혈청내 칼륨 농도는 I군에서 II군에 비해 소생술 후 의의 있게 높았으며(p<0.05), 포도당 농도는 II단계의 I군에서 타군과 비교하여 현저히 낮았다(p<0.05). IL-8은 I 군 $1,834{\pm}437$ pg/mL, II 군 $1,006{\pm}532$ pg/mL, III군 $764{\pm}302$ pg/mL로 I 군에서 II 및 III군과 비교하여 통계적으로 유의하게 높았으며(p<0.05), 폐조직의 조직검사를 통해 평가한 염증세포 분포 점수에서 III 군이 $1.6{\pm}0.6$으로 I 군 $2.8{\pm}1.2$에 비해 통계적으로 유의하게 낮았다(p<0.05). 결론: 압력 조절형 출혈성 쇼크 모델에서 시행한 저체온법은 정상체온을 유지하고 있는 군에 비해 쇼크 상태에서의 기초대사량을 줄여줌으로써 허혈에 의한 조직의 직접적인 손상을 억제할 수 있으리라 생각된다. 또한 저체온법은 수액의 사용량을 줄여주고 IL-8등의 싸이토카인 분비를 억제시키며 백혈구의 침윤을 줄여줌으로써 쇼크 후 폐장의 기능 회복에 도움을 준다. 그러나 저체온법을 시행한 군에서도 투여하는 수액을 달리함으로써 폐장의 염증변화나 손상이 차이를 나타낼 수 있을 것으로 생각되며 이에 대한 세심한 연구가 있어야 할 것이다.

V700 Cygni: A Dynamically Active W UMa-type Binary Star II

  • Kim, Chun-Hwey;Jeong, Jang-Hae
    • Journal of Astronomy and Space Sciences
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    • 제29권2호
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    • pp.151-161
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    • 2012
  • An intensive analysis of 148 timings of V700 Cyg was performed, including our new timings and 59 timings calculated from the super wide angle search for planets (SWASP) observations, and the dynamical evidence of the W UMa W subtype binary was examined. It was found that the orbital period of the system has varied over approximately $66^y$ in two complicated cyclical components superposed on a weak upward parabolic path. The orbital period secularly increased at a rate of $+8.7({\pm}3.4){\times}10^{-9}$ day/year, which is one order of magnitude lower than those obtained by previous investigators. The small secular period increase is interpreted as a combination of both angular momentum loss (due to magnetic braking) and mass-transfer from the less massive component to the more massive component. One cyclical component had a $20.^y3$ period with an amplitude of $0.^d0037$, and the other had a $62.^y8$ period with an amplitude of $0.^d0258$. The components had an approximate 1:3 relation between their periods and a 1:7 ratio between their amplitudes. Two plausible mechanisms (i.e., the light-time effects [LTEs] caused by the presence of additional bodies and the Applegate model) were considered as possible explanations for the cyclical components. Based on the LTE interpretation, the minimum masses of 0.29 $M_{\odot}$ for the shorter period and 0.50 $M_{\odot}$ for the longer one were calculated. The total light contributions were within 5%, which was in agreement with the 3% third-light obtained from the light curve synthesis performed by Yang & Dai (2009). The Applegate model parameters show that the root mean square luminosity variations (relative to the luminosities of the eclipsing components) are 3 times smaller than the nominal value (${\Delta}L/L_{p,s}{\approx}0.1$), indicating that the variations are hardly detectable from the light curves. Presently, the LTE interpretation (due to the third and fourth stars) is preferred as the possible cause of the two cycling period changes. A possible evolutionary implication for the V700 Cyg system is discussed.

HS-SPME-GC/MS에 의한 혈액중 17종 유기인계 농약의 동시분석법 (Simultaneous Analysis of 17 Organophosphorous Pesticides in Blood by Automated Head Space-SPME GC/MS)

  • 이종숙;정진미;이한선;염혜선;이상기;박유신;정희선
    • 약학회지
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    • 제54권6호
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    • pp.429-440
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    • 2010
  • HS-SPME-GC/MS was studied and optimized for the determination of 17 orgarnophosphorous pesiticides (OPPs: chlorpyrifos, chlorpyrifos-methyl, demeton-s-methyl, diazinon, dimethoate, EPN, fenitrothion, fenthion, malathion, methidathion, monocrotophos, parathion, phenthoate, phosphamidon, sulfotep, terbufos, triazophos) in blood. Optimum SPME parameters were selected: choice of SPME fiber (85 ${\mu}m$ polyacrylate), pH effect (0.5 N HCl), salt effect ($Na_2SO_4$, 0.2 g; 20%), headspace incubation temperature ($80^{\circ}C$), headspace incubation time (1 min), headspace adsorption time (30 min) and GC desorption time (2 min). These parameters were optimized using HS-SPME autosampler coupled with gas chromatography-mass spectrometry (GC-MS). Method validation was carried out in terms of linearity, limit of detection (LOD), limit of quantitation (LOQ) and recovery in blood. The assay was linear over 0.5~5.0 mg/l ($r^2$=0.955~1.000). Limit of detection (LOD) and limit of quantitation (LOQ) in blood were determined 0.03~0.3 mg/l (S/N=3) and 0.1~1.1 mg/l (S/N=10), respectively. Relative recovery with 0.5, 1 and 5 mg/l (in blood) were 90.8%, 98.5% and 94.1%, respectively. This method will be applied to the determination of the orgarnophosphorous pesticides in postmortem blood. The proposed protocol can be an attractive alternative to be used in routine toxicological analysis.

The Structure of 1-[2-[[(4-chlorophenyl)-methyl]thio]-2-(2, 4-dichlorphenyl)ethyl]-1H imidazole (Sulconazole) nitrate, C18H16Cl3N3O3S

  • Shin, Hyun-So;Song, Hyun;Cho, Sung-Il;Pakr, Keun-Il
    • Bulletin of the Korean Chemical Society
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    • 제18권1호
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    • pp.14-18
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    • 1997
  • Sulconazole nitrate, C18H16Cl3N3O3S, crystallizes in monoclinic, space group C2/c, with a=14.401(1), b=8.051(1), c=34.861(2) Å, β=95.9(1)°, g=0.58 mm-1, Dc=1.523 g/cm3, Dm=1.522 g/cm3, F(000)=1888.0, and z=8. Intensities for 2460 unique reflections were measured on a CAD4 diffractometer with graphited-monochromated Mo-Kα radiation. The structure was solved by direct method and refined by full matrix least squares to a final R=0.071 for 2182 reflections (Io > 2σIo). The bond lengths and angles are comparable with the values found in the analogues imidazole derivatives. The 2,4-dichlorophenyl ring(A) and the p-chlorophenyl ring(B) are almost planar with different heights [dihedral angle 17.3°] while the imidazole ring(C) is nearly perpendicular to the two phenyl rings[dihedral angles about the two rings A, B are 110.8° and 96.1° respectively]. In order to understand the overall conformation we calculated the selected distances (l1, l2, l3) among the center of the three rings and considered the imaginary plan D[C(7), C(9) and C(16)]. The two polar group S(8) and N(19) do not have gauche conformation and l2 value (4.47 Å) is shorter than the other imidazole derivatives. One -NO3 group are hydrogen bonded the two neighbored sulconazole molecules. The molecular crystal packing is also formed by two hydrogen bondings and van der Waals forces.

Effect of polishing and glazing on the color and spectral distribution of monolithic zirconia

  • Kim, Hee-Kyung;Kim, Sung-Hun;Lee, Jai-Bong;Han, Jung-Suk;Yeo, In-Sung
    • The Journal of Advanced Prosthodontics
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    • 제5권3호
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    • pp.296-304
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    • 2013
  • PURPOSE. The aim of this study was to evaluate the effect of polishing and glazing on the color and spectral distribution of monolithic zirconia. MATERIALS AND METHODS. Forty-five monolithic zirconia specimens ($16.3mm{\times}16.4mm{\times}2.0mm$) were fabricated and divided into 5 groups according to the number of A2-coloring liquid applications (Group I to V). Each group was divided into 3 subgroups according to the method of surface treatments (n=3): N: no treatment; P: polishing; G: glazing. Color and spectral distribution of five different areas of each specimen were measured according to CIELAB color space in the reflectance mode relative to the standard illuminant D65 on a reflection spectrophotometer. Data were analyzed using one-way ANOVA followed by Tukey's HSD test, Pearson correlation and regression analysis (${\alpha}$=.05). RESULTS. There was a significant difference in CIE $L^*$ between Subgroup N and P, and in CIE $b^*$ between Subgroup P and G in each group. Spectral reflectance generally decreased in Subgroup P and G in comparison with Subgroup N. Color differences between Subgroup P and G were within the perceptibility threshold (${\Delta}E{^*}_{ab}$ < 3.7) in most groups. Highly significant correlation was found between CIE $b^*$ and each subgroups as the number of coloring liquid applications increased ($R^2$ >0.88, P<.001). CONCLUSION. A perceptible color difference can be detected after polishing of monolithic zirconia. Polishing decreases the lightness, and glazing also decreases the lightness, but increases the yellowness of monolithic zirconia.