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Chloro- and Hydrido Complexes of (Pentamethylcyclopentadienyl) bis(phosphine)ruthenium ((펜타메틸시클로펜타디에닐) 비스(포스핀)루테늄의 염화물과 수소화물 유도체)

  • Dong-Hwan Lee
    • Journal of the Korean Chemical Society
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    • v.36 no.2
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    • pp.248-254
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    • 1992
  • Bis(phosphine)ruthenium derivatives $({\eta}^5-C_5Me_5)RuCl(PR_3)_2(PR_3=PMe_3,\; PMe_2Ph,\;PEt_3,\;PMePh_2$, 1/2DPPE, 1/2DPPB) (2a${\sim}$2f) have been synthesized by the reaction of $[({\eta}^5-C_5Me_5)RuCl_2]_2$ (1) with excessive phosphine in ethanol. The reaction of complexes $({\eta}^5-C_5Me_5)Ru(PR_3)_2Cl\;with\;NaBH_4$ in ethanol gave the corresponding hydride complexes $({\eta}^5-C_5Me_5)Ru(PR_3)_2H (PR_3=PMe_3, PEt_3, PMePh_2$, 1/2 DPPE, 1/2DPPB) (3a${\sim}$3e). Chloride complexes (2a${\sim}$2f) and hydride complexes (3a${\sim}$3e) were isolated as crystals, which were characterized by IR, $^1H-NMR$ , and elemental analysis.

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DIFFERENT CHARACTERIZATIONS OF CURVATURE IN THE CONTEXT OF LIE ALGEBROIDS

  • Rabah Djabri
    • Journal of the Korean Mathematical Society
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    • v.61 no.5
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    • pp.923-951
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    • 2024
  • We consider a vector bundle map F : E1 → E2 between Lie algebroids E1 and E2 over arbitrary bases M1 and M2. We associate to it different notions of curvature which we call A-curvature, Q-curvature, P-curvature, and S-curvature using the different characterizations of Lie algebroid structure, namely Lie algebroid, Q-manifold, Poisson and Schouten structures. We will see that these curvatures generalize the ordinary notion of curvature defined for a vector bundle, and we will prove that these curvatures are equivalent, in the sense that F is a morphism of Lie algebroids if and only if one (and hence all) of these curvatures is null. In particular we get as a corollary that F is a morphism of Lie algebroids if and only if the corresponding map is a morphism of Poisson manifolds (resp. Schouten supermanifolds).

Properties of Spinel Ferrites for NTC Thermistor (NTC 서미스터용 스피넬 페라이트의 특성)

  • 이승관;허정섭;김현식;오영우;최태현
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1997.11a
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    • pp.128-131
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    • 1997
  • 기본 조성식 M $n_{1-x}$/F $e_{2+x}$/ $O_4$(이하 Mg계), M $n_{1-x}$/F $e_{2+x}$/ $O_4$(이하 Mg계)의 식에서 x를 0.0,0.025,0.1,0.2로 변화시키고, 하소온도 80$0^{\circ}C$, 소결은도를 l10$0^{\circ}C$~12$50^{\circ}C$$50^{\circ}C$간격으로 변화 시켰을 때와 Mn계와 Mg계를 1:1로 흔합하였을 때, F $e_2$ $O_3$의 과잉 양이 증가할수록 비저항은 감소하였고, 저항온도계수 $\alpha$는 밀도와 비례하는 관계를 나타내었으며, B정수는 4600(K)에서 10500(K)의 범위를 나타내었다. 본 조성의 실험으로써 Mn-Ni-Co계 서미스터의 대체가 가능함을 확인할 수 있었다.있었다.

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Role of Berberis lycium in Reducing Serum Cholesterol in Broilers

  • Chand, N.;Durrani, F.R.;Qureshi, M.S.;Durrani, Z.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.4
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    • pp.563-568
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    • 2007
  • This study was planned to investigate the role of Berberis lycium in reducing serum cholesterol in broilers. Six experimental rations designated as A, B, C, D, E and F having 0, 0.5, 1.0, 1.5, 2.0 and 2.5% Berberis lycium were fed to 240 broiler chicks, randomly distributed into 24 replicates, so as to have 4 replicates per group and 10 chicks per replicate. The experiment lasted for 35 days. Average serum total cholesterol, triglyceride, high density lipoprotein (HDL) and low density lipoprotein (LDL) were used as criteria of response. Average total serum cholesterol per chick was 129.33, 120.50, 116.50, 113.00, 101.67 and 114.00 mg/dl for group A, B, C, D, E and F respectively. Total serum cholesterol showed decreasing trend with the increasing level of Berberis lycium unto 2% (p<0.05). Mean serum triglyceride level per chick was 60.00, 58.17, 58.00, 55.33, 50.17 and 48.50 mg/dl for group A, B, C, D, E and F respectively. Mean serum triglyceride showed decreasing trend with the increasing level of Berberis lycium (p<0.05). Serum triglyceride was significantly lower in group F than other groups. Mean HDL per chick for the six experimental groups A, B, C, D, E and F was 52.08, 53.42, 60.42, 62.25, 62.92 and 54.50 mg/dl respectively. HDL showed increasing trend with the increase in the level of Berberis lycium unto 2%. The average serum LDL per chick was 65.25, 55.45, 44.48, 39.68, 28.72 and 49.80 mg/dl for group A, B, C, D, E and F respectively. LDL also showed decreasing trend with the increase in the level of Berberis lycium unto 2% (p<0.05). It was concluded that Berberis lycium added to feed at the rate of 2.0% can be used in broiler feed for reducing serum total cholesterol, triglyceride and LDL and increasing HDL.

THE NUMBER OF POINTS ON ELLIPTIC CURVES EA0:y2=x3+Ax OVER $\mathbb{F}$p MOD 24

  • Park, Hwa-Sin;You, Soon-Ho;Kim, Dae-Yeoul;Kim, Min-Hee
    • Honam Mathematical Journal
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    • v.34 no.1
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    • pp.93-101
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    • 2012
  • Let $E_A^B$ denote the elliptic curve $E_A^B:y^2=x^3+Ax+B$. In this paper, we calculate the number of points on elliptic curves $E_A^0:y^2=x^3+Ax$ over $\mathbb{F}_p$ mod 24. For example, if $p{\equiv}1$ (mod 24) is a prime, $3t^2{\equiv}1$ (mod p) and A(-1 + 2t) is a quartic residue modulo p, then the number of points in $E_A^0:y^2=x^3+Ax$ is congruent to 0 modulo 24.

Genome-wide survey and expression analysis of F-box genes in wheat

  • Kim, Dae Yeon;Hong, Min Jeong;Seo, Yong Weon
    • Proceedings of the Korean Society of Crop Science Conference
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    • 2017.06a
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    • pp.141-141
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    • 2017
  • The ubiquitin-proteasome pathway is the major regulatory mechanism in a number of cellular processes for selective degradation of proteins and involves three steps: (1) ATP dependent activation of ubiquitin by E1 enzyme, (2) transfer of activated ubiquitin to E2 and (3) transfer of ubiquitin to the protein to be degraded by E3 complex. F-box proteins are subunit of SCF complex and involved in specificity for a target substrate to be degraded. F-box proteins regulate many important biological processes such as embryogenesis, floral development, plant growth and development, biotic and abiotic stress, hormonal responses and senescence. However, little is known about the F-box genes in wheat. The draft genome sequence of wheat (IWGSC Reference Sequence v1.0 assembly) used to analysis a genome-wide survey of the F-box gene family in wheat. The Hidden Markov Model (HMM) profiles of F-box (PF00646), F-box-like (PF12937), F-box-like 2 (PF13013), FBA (PF04300), FBA_1 (PF07734), FBA_2 (PF07735), FBA_3 (PF08268) and FBD (PF08387) domains were downloaded from Pfam database were searched against IWGSC Reference Sequence v1.0 assembly. RNA-seq paired-end libraries from different stages of wheat, such as stages of seedling, tillering, booting, day after flowering (DAF) 1, DAF 10, DAF 20, and DAF 30 were conducted and sequenced by Illumina HiSeq2000 for expression analysis of F-box protein genes. Basic analysis including Hisat, HTseq, DEseq, gene ontology analysis and KEGG mapping were conducted for differentially expressed gene analysis and their annotation mappings of DEGs from various stages. About 950 F-box domain proteins identified by Pfam were mapped to wheat reference genome sequence by blastX (e-value < 0.05). Among them, more than 140 putative F-box protein genes were selected by fold changes cut-offs of > 2, significance p-value < 0.01, and FDR<0.01. Expression profiling of selected F-box protein genes were shown by heatmap analysis, and average linkage and squared Euclidean distance of putative 144 F-box protein genes by expression patterns were calculated for clustering analysis. This work may provide valuable and basic information for further investigation of protein degradation mechanism by ubiquitin proteasome system using F-box proteins during wheat development stages.

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A PROPERTY OF COFUNCTORS SF(X,A)

  • So, Kwang Ho
    • Kyungpook Mathematical Journal
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    • v.13 no.2
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    • pp.235-240
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    • 1973
  • A k-dimensional vector bundle is a bundle ${\xi}=(E,P,B,F^k)$ with fibre $F^k$ satisfying the local triviality, where F is the field of real numbers R or complex numbers C ([1], [2] and [3]). Let $Vect_k(X)$ be the set consisting of all isomorphism classes of k-dimensional vector bundles over the topological space X. Then $Vect_F(X)=\{Vect_k(X)\}_{k=0,1,{\cdots}}$ is a semigroup with Whitney sum (${\S}1$). For a pair (X, A) of topological spaces, a difference isomorphism over (X, A) is a vector bundle morphism ([2], [3]) ${\alpha}:{\xi}_0{\rightarrow}{\xi}_1$ such that the restriction ${\alpha}:{\xi}_0{\mid}A{\longrightarrow}{\xi}_1{\mid}A$ is an isomorphism. Let $S_k(X,A)$ be the set of all difference isomorphism classes over (X, A) of k-dimensional vector bundles over X with fibre $F^k$. Then $S_F(X,A)=\{S_k(X,A)\}_{k=0,1,{\cdots}}$, is a semigroup with Whitney Sum (${\S}2$). In this paper, we shall prove a relation between $Vect_F(X)$ and $S_F(X,A)$ under some conditions (Theorem 2, which is the main theorem of this paper). We shall use the following theorem in the paper. THEOREM 1. Let ${\xi}=(E,P,B)$ be a locally trivial bundle with fibre F, where (B, A) is a relative CW-complex. Then all cross sections S of ${\xi}{\mid}A$ prolong to a cross section $S^*$ of ${\xi}$ under either of the following hypothesis: (H1) The space F is (m-1)-connected for each $m{\leq}dim$ B. (H2) There is a relative CW-complex (Y, X) such that $B=Y{\times}I$ and $A=(X{\times}I)$ ${\cap}(Y{\times}O)$, where I=[0, 1]. (For proof see p.21 [2]).

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POSITIVE INTERPOLATION ON Ax = y AND AX = Y IN ALG$\mathcal{L}$

  • Kang, Joo-Ho
    • Honam Mathematical Journal
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    • v.31 no.2
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    • pp.259-265
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    • 2009
  • Let $\mathcal{L}$ be a subspace lattice on a Hilbert space $\mathcal{H}$. Let x and y be vectors in $\mathcal{H}$ and let $P_x$ be the projection onto sp(x). If $P_xE$ = $EP_x$ for each E ${\in}\;\mathcal{L}$, then the following are equivalent. (1) There exists an operator A in Alg$\mathcal{L}$ such that Ax = y, Af = 0 for all f in $sp(x)^{\perp}$ and A ${\geq}$ 0. (2) sup ${\frac{{\parallel}E^{\perp}y{\parallel}}{{\parallel}E^{\perp}x{\parallel}}:E{\in}\mathcal{L}}$ < ${\infty}$ < x, y > ${\geq}$ 0. Let X and Y be operators in $\mathcal{B}(\mathcal{H})$. Let P be the projection onto $\overline{rangeX}$. If PE = EP for each E ${\in}\;\mathcal{L}$, then the following are equivalent: (1) sup ${\frac{{\parallel}E^{\perp}Yf{\parallel}}{{\parallel}E^{\perp}Xf{\parallel}}:f{\in}\mathcal{H},E{\in}\mathcal{L}}$ < ${\infty}$ and < Xf, Yf > ${\geq}$ 0 for all f in H. (2) There exists a positive operator A in Alg$\mathcal{L}$ such that AX = Y.

The biblographical study on $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine -(Comparative study between Oriental and Western Medicine)- (두풍(頭風)과 편두통(Migraine)에 대(對)한 동서의학적(東西醫學的) 문헌고찰(文獻考察))

  • Oh, So-Jeo;Jeong, Ji-Cheon;Lee, Won-Chul
    • The Journal of Internal Korean Medicine
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    • v.14 no.1
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    • pp.129-138
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    • 1993
  • This report on the $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine comes to conclude, through the study of the Oriental- Western medical references, as follow; 1. First, $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine had some concurrencies that both the two symptoms have appeared severe and recurrent headache and more often to the female. 2 Many of them e.g. Sensory disturbance, Vertigo, Nausea, Vomiting, Tinnitus etc. in the prodrome and main symptom of $T{\acute{o}}u\;f{\bar{e}}ng$ and Migraine were identical, especially the symptom of the $f{\bar{e}}ng\;t{\acute{a}}n\;t{\acute{o}}u\;t{\grave{o}}ng$ was similar to the prodrome of the Migraine. We could find out the semilarity of the symptoms through that Migraine is proximately set in unilateral, and $Pi{\bar{a}}nT{\acute{o}}u\;f{\bar{e}}ng$ is so called alias $B{\grave{a}}n\;bi{\bar{a}}n\;t{\acute{o}}u\;t{\grave{o}}ng$. 3. The pathogeny of $T{\acute{o}}u\;f{\bar{e}}ng$ include the case of ‘$f{\bar{e}}ng\;xi{\acute{e}}\;r{\grave{u}}\;n{\bar{a}}o$’, the patient feeling weak condition, $T{\acute{a}}n,\;T{\acute{a}}nshi,\;T{\acute{a}}nhu{\breve{o}},\;Y{\grave{u}}q{\grave{i}}$, etc. and, ‘$t{\acute{a}}n\;zhu{\grave{o}}\;sh{\grave{a}}ng\;y{\acute{a}}o$’, ‘$G{\bar{a}}n\;y{\acute{a}}ng\;hu{\grave{a}}\;f{\bar{e}}ng$’. There were variable that $F{\bar{e}}ng,\;Xu{\grave{e}},\;F{\bar{e}}ngr{\grave{a}},\;F{\bar{e}}ngx{\bar{u}},\;Xu{\grave{e}}x{\bar{u}},\;Hu{\check{o}}$ in the left, and $t{\acute{a}}n,\;R{\grave{e}},\;t{\acute{a}}nr{\grave{e}},\;Qir{\acute{a}}$ in the right partial pathogeny. It was referred $Sh{\grave{a}}o\;y{\acute{a}}ng\;j{\bar{i}}ng$, $Ju{\acute{e}}\;y{\bar{i}}n\;j{\bar{i}}ng$, $Y{\acute{a}}ng\;m{\acute{i}}ng\;j{\bar{i}}ng$, $T{\grave{a}}i\;y{\acute{a}}ng\;j{\bar{i}}ng$ in connection with the Meridian system. And otherwise the primary cause of Migraine is still unknown to us. Heredity is probably important, but the mode of transmission is uncertain. Recently, the important assumption is the vasomotor change caused by vasoconstrictors like that norepinephrine, epinephrine, and serotonin etc.

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