• Title/Summary/Keyword: $D_z(x_o,G)$

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A Study on the Usage of Miào(廟) and Gōng(宮) in Zhou Dynasty through the Mentions to Them in the Scripture Sentences of 『Chūn-qiū(春秋)』 - In the Process of Investigating the Existence of Zhou Dynasty's System to Regulate the Number of Zōng-miào(宗廟) 【1/2】 (『춘추』 경문에서의 묘(廟)·궁(宮) 언급을 통한 주대(周代)의 그 쓰임 사례 일고찰 - 주대의 묘수제(廟數制) 실재 여부에 대한 궁구 과정에서 【1/2】-)

  • Seo, Jeong-Hwa
    • The Journal of Korean Philosophical History
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    • no.57
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    • pp.57-90
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    • 2018
  • In this discussion, as a way to verify the existence of the system to regulate Zhou dynasty's $z{\bar{o}}ng-mi{\grave{a}}o$(宗廟) numbers, the discussion was focused on '$mi{\grave{a}}o$ (廟)' and '$g{\bar{o}}ng$(宮)' in the records of "$Ch{\bar{u}}n-qi{\bar{u}}$(春秋)". As for the parts where the contents of scripture sentences were not specific, the context of the case was investigated through the writings in "$Zu{\breve{o}}-zhu{\grave{a}}n$(左傳)" and other materials. In the cases of the usage of the letter, '$mi{\grave{a}}o$(廟 : a ruler's house, a nation's royal court)', in the scripture sentences in "$Ch{\bar{u}}n-qi{\bar{u}}$(春秋)", the followings need to be noticed. In $t{\grave{a}}i-mi{\grave{a}}o$(太廟) of State $L{\check{u}}$(魯), nationwide events and a ruler's political ancestral rite, $d{\grave{i}}$(?) ritual, were performed, and fancy tools for ancestral rites used in those rituals were equipped. As for the $z{\bar{o}}ng-mi{\grave{a}}o$(宗廟) of a ruler of those times, a ritual of royal court, $ch{\acute{a}}o$(朝) rite, was performed. The usage case of the letter, '$g{\bar{o}}ng$(宮 : house)', is as the following. In $g{\bar{o}}ng$(宮) where a ruler's personal family lived was a family ancestral rite for them carried out. The record about the ornate decorating for the $hu{\acute{a}}n-g{\bar{o}}ng$ house(桓宮), which can be said to have been the political base of $s{\bar{a}}n-hu{\acute{a}}n-sh{\grave{i}}$(三桓氏), three politically noble families of State $L{\check{u}}$(魯), is outstanding. The $x{\bar{i}}-g{\bar{o}}ng$ house(西宮) during $X{\bar{i}}-g{\bar{o}}ng$(魯 僖公)'s reign and a $x{\bar{i}}n-g{\bar{o}}ng$ house(新宮 : a newly built house) destroyed by fire at the third year of $Ch{\acute{e}}ng-g{\bar{o}}ng$(魯 成公), are assumed to have been a ruler's another house, such as the $ch{\check{u}}-g{\bar{o}}ng$ house(楚宮) in which $Xi{\bar{a}}ng-g{\bar{o}}ng$(魯 襄公) used to enjoy staying, which is different from the viewpoint that it might be a $m{\acute{i}}-g{\bar{o}}ng$ shrine(?宮 : a house constructed as a shrine for the deceased father or the deceased grand father) that had been formed since Han dynasty. It has been discussed that, regarding the records that the '$w{\check{u}}-g{\bar{o}}ng$ house(武宮) was built' and that the '$y{\acute{a}}ng-g{\bar{o}}ng$ house(煬宮) was built', certain buildings were established with the symbols of '$w{\check{u}}$(武 : martial arts and force of arms)' and '$y{\acute{a}}ng$(煬 : to burn and get rid of everything)', and the events that a lord stood as its lord continued. Therefore, its main goal was not the performance of a dutiful ancestral rite by a ruler of those times for deceased rulers, for instance, $W{\check{u}}-g{\bar{o}}ng$(魯 武公) or $Y{\acute{a}}ng-g{\bar{o}}ng$(魯 煬公), but display of certain political symbolism through the ritual. This symbolism is most obvious with the $hu{\acute{a}}n-g{\bar{o}}ng$ house(桓宮) and the $x{\bar{i}}-g{\bar{o}}ng$ house(僖宮). As a consequence, all $mi{\grave{a}}os$(廟) and $g{\bar{o}}ngs$(宮) in scripture sentences had the functions of a shrine in some part, but it has been verified that they were not the buildings set up as a shrine to follow '$z{\bar{o}}ng-mi{\grave{a}}o$(宗廟)'s number regulation system' of '$ti{\bar{a}}nz{\check{i}}-7-mi{\grave{a}}o$(天子七廟 : an emperor owns seven $mi{\grave{a}}os$(廟))' or '$zh{\bar{u}}h{\acute{o}}u-5-mi{\grave{a}}o$(諸侯五廟 : a lord owns five $mi{\grave{a}}os$(廟))'.

The Crystal Structure of Licarin-B $(C_{20}H_{20}O_4)$, A Component of the Seeds of Myristica fragrans

  • Kim, Yang-Bae;Park, Il-Yeong;Shin, Kuk-Hyun
    • Archives of Pharmacal Research
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    • v.14 no.1
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    • pp.1-6
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    • 1991
  • The crystal structure of licarin-B, a component of Myristicae Semen was determined by single crystal X-ray diffraction analysis. Crystal of the compound, which was recrystallized from the mixture of hexane and ether, is monoclinic with a=12.740(1), b=7.219(1), c=9.284(1) ${\AA}$, ${\beta}=94.75(1)^{\circ}$, $D_x=1.26$, $D_m=1.27\;g/cm^3$, space group P21, and Z=2. The structure was solved by direct method and refined by least-squares procedure to the final R value of 0.040 for 1532 independent reflections ${F{\ge}3{\sigma}(F)}$. The compound is a dimeric phenylpropanoid, and belongs to the neolignan analogues. The molecules are arranged along with the screw axis. The intermolecular contacts appear to be the normal van der Waals' forces.

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Electrical resistivity and magnetization of Sr$_{1-x}K_xBiO_3$ superconductor in magnetic field: Observation of a reentrant superconducting resistive transition at low temperature

  • Kim, J.S.;Kim, D.C.;Joo, S.J.;Kim, G.T.;Lee, S.Y.;Khim, Z.G.;Bougerol-Chaillout, C.;Kazakov, S.M.;Pshirkov, J.S.;Antipov, E.V.;Park, Y.W.
    • 한국초전도학회:학술대회논문집
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    • v.9
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    • pp.210-213
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    • 1999
  • Magnetoresistance and magnetization of Sr$_{l-x}K_xBiO_3$ were both measured as functions of temperature and magnetic field. Resistivity goes to zero at T=10.1K and the overall superconducting transition behavior under applied magnetic fields is similar to that of other BiO based superconductors. Also, below T<5K we have observed the reappearance of finite resistivity with a power law temperature dependence( ${\rho}$ ${\sim}$T$^1$); the reentrant superconducting transition of resistivity. Contrary to the Josephson weak link effect in polycrystalline samples, which gives the depression of the superconducting state with increasing electrical current or magnetic field, the superconducting state for T<5K is resumed by applying a higher current or magnetic field. Magnetic susceptibility( ${\chi}$ ) of Sr$_{l-x}K_xBiO_3$ for T<5K also shows similar trends to that observed in transport measurements: increase of ${\chi}$ (paramagnetic-like behavior) at a low magnetic fields(B=50 Oe) and, the resumption of perfect diamagnetism at high fields.

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The Crystal Structure of a $\beta$-Allyl Type Phenylpropanoid 2-(4-allyl-2, 6-dimethoxyphenoxy)-1-(4-hydroxy-3-methoxyphenyl) propan-1-ol, from the Seeds of Myristica fragrans

  • Kim, Yang-Bae;Park, Il-Yeong;Kim, Jeong-Ae;Shin, Kuk-Hyun
    • Archives of Pharmacal Research
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    • v.14 no.2
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    • pp.137-142
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    • 1991
  • The structure of a $\beta$-allyl type phenylpropanoid was determined by single crystal X-ray diffraction analysis. The compound was recrystallized from a mixture of n-hexane and benzene in monoclinic crystal system with a = 24.782 (2), b = 10.537 (1), c = 7.871 (1) ${\AA}, \beta=95.74$ (1)$^\circ, $D_x$=1.216, $D_m$=1.22g/$cm^3$, space group $P2_1/a$, and Z=4. The structure was solved by direct method and refined by least-squares procedure to the final R value of 0.054 for 2824 observed reflections {$F{\geq}3\sigma(F)$}. The molecular geometry shows a most stable trans-form with respect to the bulky phenyls, and this conformation is settled by an intramolecular hydrogen bond. In the crystal, the molecules are arranged along with the screw axis, and stabilized by the $O{\cdot}H{\cdots}O$ type intermolecular hydrogen bonds. The other intermolecular contacts appear to be the normal van der Waals' interactions. The compound is a dimeric phenylpropanoid, and belongs to the neolignan analogues.

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Constituents of Paulownia tomentosa Stem(III): The Crystal Structure of Methyl 5-Hydroxy-dinaphtho[1,2-2',3]furan-7,12-dione-6-carboxylate

  • Park, Il-Yeong;Kim, Bak-Kwang;Kim, Yang-Bae
    • Archives of Pharmacal Research
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    • v.15 no.1
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    • pp.52-57
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    • 1992
  • The molecular structure of a natural compound was determined by single crystal X-ray diffraction analysis. The compound was isolated by methanol extraction and repeated chromatography from the stem of Paulownia tomentosa. Yellow prismatic crystals of the compound, which were recrystallized from tetrahydrofuran, are triclinic, with a = 7.310 (6), b = 10.753(6), c = 11.586(5) ${\AA}.\;\alpha= 93.30(6),\;\beta=105.62(10),\;\gamma=109.49(7)^\circ,\;D_x=1.514,\;D_m=1.51 g/cm^3$, space group P1 and Z = 2. The structure was solved by direct method, and refined by least-squares procedure to the final R-value of 0.032 for 1271 independent reflections $(F\le3\sigma{(F))}$. The compound is one of new furanquinone analogue. The molecule has a nearly planar conformation with an intramolecular hydrogen bond. In the crystal, the planar molecules are arranged as a prallel sheet-like pattern, and these stackings are stabilized by the O-H...O type intermolecular hydrogen bonds. The other intermolecular contacts appear to be the normal van der Waals interactions.

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Crystal Structure of Byakangelicin ($C_{17}H_{18}O_{7}$)

  • Kim, Yang-Bae;Oh, Yong-Ho;Park, Il-Yeung;Shin, Kuk-Hyun
    • Archives of Pharmacal Research
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    • v.25 no.3
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    • pp.275-279
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    • 2002
  • The crystal structure of byakangelicin, one of furanocoumarin aldose reductase inhibitors, was determined by X-ray diffraction method. The crystal is triclinic, with a=8.114(1), b=10.194(1), $c=11.428(1)\AA,{\;}{\alpha}=111.50(1),{\}{\beta}=95.57(1),{\}{\gamma}=112.52(1)^{circ},{\;}D_x=1.41,{\;}D_m=1.39{\;}g/cm^3$, space group P1 and Z=2. The intensity data were collected by ${\omega}-2{\theta}$ scan method with $CuK_{a}$ radiations. The structure was solved by direct method and refined by full matrix least-squares procedure to the final R-value of 0.056. There are two molecules with different conformations in an asymmetric unit. The molecules are kept by two intermolecular O-HO type hydrogen bonds and van der Waal's forces in the crystal. The absolute configuration of the molecules was estimated to S-form by the 'Eta refinement' procedure.

Refinement of the structure of naproxen, (+)-6- methoxy-$\alpha$-methyl-2-naphthaleneacetic acid

  • Kim, Yang-Bae;Song, Hyun-June;Park, Il-Yeong
    • Archives of Pharmacal Research
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    • v.10 no.4
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    • pp.232-238
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    • 1987
  • The molecular structure of naproxen determined by X-ray diffraction technique was refine to the final R-value geing 0.042. The compound was recrystallized from ethanol solution in monoclinic crystal system, space group $P2_1$ , with Z = 2, a = 13.375(5) $\AA$, b = 5.793(2) $\AA$, c = 7.914 $\AA$, $\beta$=93.91(3)$\AA$ and $d_{obs}$ = 1.26, $d_{calc}$ = 1.25 g/cm$^{3}$. The structure was solved by direct method and refined by block diagonal least squares procedure for 747 relfections (F .leq. 6.sigma.(F)). The molecules are connected by two intermolecular OH--O type hydrogen bonds.

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The Crystal and Molecular Structure of 25,26,27,28-Tetrnacetoxy[4]Arene${\cdot}$Monohydrate (25,26,27,28-테트라아세트오키시[4]에렌${\cdot}$일수화물의 결정 및 분자구조)

  • Choong Tai Ahn;Kwanghyun No
    • Journal of the Korean Chemical Society
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    • v.37 no.3
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    • pp.344-350
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    • 1993
  • 25,26,27,28-Tetraacetoxycalix[4]arene·monohydrate is orthorhombic, space group Pbca with a = 14.979(4), b = 15.154(4), c = 27.890(3) ${\AA}$, Z = 8, V = 6330.6 ${\AA}^{-3}$, D$_c$ = 1.28 $g{\cdot}cm^{-3}$, (Mo K${\alpha}$) = 0.71069 ${\AA}$, ${\mu}$ = 0.86 cm$^{-1}$, F(000) = 2600, and R = 0.069 for 3376 unique observed reflections with I > 1.0 ${\sigma}$(I). The structure was solved by direct methods and refined by cascade diagonal least-squares refinement. All the C-H bond lengths(= 0.96 ${\AA}$), the methyl groups and the methylene groups are fixed and refined as the rigid groups with ideal geometry. The macrocycle exists in the 1,3 alternate conformation (by Conforth) making the angles of 110.7, 684, 113.7 and 68.8$^{\circ}$ between the benzene rings and the methylenic mean plane, and four each acetoxy groups are twisted away from their own benzene rings with the angles of 68.2, 97.6, 78.9 and 71.3$^{\circ}$, respectively. The relative dihedral angles between two opposite side of the benzene rings are 135.6$^{\circ}$ for the rings (1) and (3) and 135.2$^{\circ}$ for (2) and (4). A water molecule which has nearly the same height of the methylenic plane of the macrocycle in the c-axis, is located within the distances of 2.942(5) ${\AA}$ from the O(8) atom of the carbonyl group and 2.901 ${\AA}$ from, another O(2)(1/2-x, -1/2+y, z). The shortest contact between the molecule is 3.193 ${\AA}$ from the O(4) to the C(3)(1/2+x, 1/2-y,-z).

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Improvement of wear resistance of Zircaloy-4 by nitrogen implantation

  • Han, Jeon G.;Lee, jae S.;Kim, Hyung J.;Kim, W.;Choi, B.Y.;Tang, Guoy
    • Proceedings of the Korean Vacuum Society Conference
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    • 1995.06a
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    • pp.151-151
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    • 1995
  • Nitrogen implantation process has been applied for improvement of wear resistance of Z Zircaloy-4 fuel cladding materials. Nitrogen was implanted at 120 ke V to a total do range of 1xHP ions/cm2 to 8xlO17 ions/cm2 at various temperatures of 298"C to 676"C. The m microstructure changes by nitrogen implantation were analyzed by using TEM, XRD 뻐d A AES, cmd then wear behavior was evaluated by ball-on-disc wear testings at various loads a and sliding velocity under unlubricated condition. Nitrogen implantation produced ZrNx nitride above 4.37x1017 ions!cm2 as well as heavy d dislocations, which enhanced microhardness of the implanted surface of up to 900 Hk from 2 200 Hk of unimplanted substrate. Hardness was also found to be increased with increasing i implantation temperature and enhanced up to OOOHk at 620 "C. the wear resistance was g greatly improved with increasing total ion do않 as well as implantation temperature. The effective enhancement of wear resistance at high dose and tem야ratures is believed d due to significant hardening associated with high degree of precipitation of Zr nitrides and g generation of prismatic dislocation I$\infty$ps.infty$ps.

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MEROMORPHIC FUNCTIONS SHARING A NONZERO POLYNOMIAL CM

  • Li, Xiao-Min;Gao, Ling
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.319-339
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    • 2010
  • In this paper, we prove that if $f^nf'\;-\;P$ and $g^ng'\;-\;P$ share 0 CM, where f and g are two distinct transcendental meromorphic functions, $n\;{\geq}\;11$ is a positive integer, and P is a nonzero polynomial such that its degree ${\gamma}p\;{\leq}\;11$, then either $f\;=\;c_1e^{cQ}$ and $g\;=\;c_2e^{-cQ}$, where $c_1$, $c_2$ and c are three nonzero complex numbers satisfying $(c_1c_2)^{n+1}c^2\;=\;-1$, Q is a polynomial such that $Q\;=\;\int_o^z\;P(\eta)d{\eta}$, or f = tg for a complex number t such that $t^{n+1}\;=\;1$. The results in this paper improve those given by M. L. Fang and H. L. Qiu, C. C. Yang and X. H. Hua, and other authors.