• Title/Summary/Keyword: $Q_C^{-1}$

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KUCERA GROUP OF CIRCULAR UNITS IN FUNCTION FIELDS

  • Ahn, Jae-Hyun;Jung, Hwan-Yup
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.2
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    • pp.233-239
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    • 2007
  • Let $\mathbb{A}=\mathbb{F}_q$[T] be the polynomial ring over a finite field $\mathbb{F}_q$[T] and K=$\mathbb{F}_q$(T) its field of fractions. Let ${\ell}$ be a fixed prime divisor of q-1. Let J be a finite set of monic irreducible polynomials $P{\in}{\mathbb{A}}$ with deg $P{\equiv}0$ (mod ${\ell})$. In this paper we define the group $C_K$ of circular units in K=k$(\{\sqrt[{\ell}]P\;:\;P{\in}J\})$ in the sense of Kucera [4] and compute the index of $C_K$ in the full unit group $O^*_K$.

A GENERAL ITERATIVE ALGORITHM FOR A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN A HILBERT SPACE

  • Thianwan, Sornsak
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.13-30
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    • 2010
  • Let C be a nonempty closed convex subset of a real Hilbert space H. Consider the following iterative algorithm given by $x_0\;{\in}\;C$ arbitrarily chosen, $x_{n+1}\;=\;{\alpha}_n{\gamma}f(W_nx_n)+{\beta}_nx_n+((1-{\beta}_n)I-{\alpha}_nA)W_nP_C(I-s_nB)x_n$, ${\forall}_n\;{\geq}\;0$, where $\gamma$ > 0, B : C $\rightarrow$ H is a $\beta$-inverse-strongly monotone mapping, f is a contraction of H into itself with a coefficient $\alpha$ (0 < $\alpha$ < 1), $P_C$ is a projection of H onto C, A is a strongly positive linear bounded operator on H and $W_n$ is the W-mapping generated by a finite family of nonexpansive mappings $T_1$, $T_2$, ${\ldots}$, $T_N$ and {$\lambda_{n,1}$}, {$\lambda_{n,2}$}, ${\ldots}$, {$\lambda_{n,N}$}. Nonexpansivity of each $T_i$ ensures the nonexpansivity of $W_n$. We prove that the sequence {$x_n$} generated by the above iterative algorithm converges strongly to a common fixed point $q\;{\in}\;F$ := $\bigcap^N_{i=1}F(T_i)\;\bigcap\;VI(C,\;B)$ which solves the variational inequality $\langle({\gamma}f\;-\;A)q,\;p\;-\;q{\rangle}\;{\leq}\;0$ for all $p\;{\in}\;F$. Using this result, we consider the problem of finding a common fixed point of a finite family of nonexpansive mappings and a strictly pseudocontractive mapping and the problem of finding a common element of the set of common fixed points of a finite family of nonexpansive mappings and the set of zeros of an inverse-strongly monotone mapping. The results obtained in this paper extend and improve the several recent results in this area.

Chromosomal Localization and Mutation Detection of the Porcine APM1 Gene Encoding Adiponectin (Adiponectin을 암호화하는 돼지 APM1 유전자의 염색체상 위치파악과 돌연변이 탐색)

  • Park, E.W.;Kim, J.H.;Seo, B.Y.;Jung, K.C.;Yu, S.L.;Cho, I.C.;Lee, J.G.;Oh, S.J.;Jeon, J.T.;Lee, J.H.
    • Journal of Animal Science and Technology
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    • v.46 no.4
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    • pp.537-546
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    • 2004
  • Adiponectin is adipocyte complement-related protein which is highly specialized to play important roles in metabolic and honnonal processes. This protein, called GBP-28, AdipoQ, and Acrp30, is encoded by the adipose most abundant gene transcript 1 (APM1) which locates on human chromosome 3q27 and mouse chromosome 16. In order to determine chromosomal localization of the porcine APM1, we carried out PCR analysis using somatic cell hybrid panel as well as porcine whole genome radiation hybrid (RH) panel. The result showed that the porcine APM1 located on chromosome 13q41 or 13q46-49. These locations were further investigated with the two point analysis of RH panel, revealed the most significant linked marker (LOD score 20.29) being SIAT1 (8 cRs away), where the fat-related QTL located. From the SSCP analysis of APM1 using 8 pig breeds, two distinct SSCP types were detected from K~ native and Korean wild pigs. The determined sequences in Korean native and Korean wild pigs showed that two nucleotide positions (T672C and C705G) were substituted. The primary sequence of the porcine APM1 has 79 to 87% identity with those of human, mouse, and bovine APM1. The domain structures of the porcine APM1 such as signal sequence, hypervariable region, collagenous region. and globular domain are also similar to those of mammalian genes.

A Study of the Vegetation in the Deogyusan National Park - Focused on the deciduous forest at Namdeogyu area - (덕유산국립공원의 식생에 관한 연구 -남덕유지역 낙엽활엽수림을 중심으로-)

  • Kim, Hyoun-Sook;Lee, Sang-Myong;Chung, Heung-Lak;Song, Ho-Kyung
    • Korean Journal of Environment and Ecology
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    • v.23 no.5
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    • pp.471-484
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    • 2009
  • This study was carried out to classify vegetation structure on the deciduous forest at Namdeogyu area in Deogyusan National Park from May 2007 to September 2008 using the gradient analyses and phytosociological method. The vegetation was classified into Quercus mongolica community(Typical subcommunity, Rhododendron sehlippenbaehii-Q. mongolica subcommunity, Carex lanceolata-Q. mongolica subcommunity), Q. Serrata community(Typical subcommunity, Q. variabilis -Q. serrata subcommunity, Carpinus laxiflora - Q. serrata subcommunity), C. laxiflora community, Fraxinus mandshurica community and Corn us controversa community. Ecological characteristics such as species composition, layer structure, vegetation ratio, and the distribution of individual trees by DBH(diameter at breast height) were significantly different among communities. The order of important value of the forest community with DBH 2cm above plants was Q. mongolica(67.8), F. mandshurica(44.8), Q. serrata(27.5), Acer pseudo-sieboldianum(17.0), C. controversa(l5.9), F. sieboldiana(l1.5), R. schlippenbachii(11.0), C. cordata(11.0), Styrax obassia(10.9), Magnolia sieboldii(10.4) and C. laxiflora(9.8). Distribution of DBH of Q. mongolica had a formality distribution, suggesting a continuous domination of these species over the other species for the time being. In contrast, F. mandshurica appeared limited to the valley of the sheet and a higher frequency of young individuals, suggesting a continuous domination of these species the development of a climax forest terrain. Q. serrata had a higher frequency of young individuals and middle individuals, suggesting a continuous domination of these species over the other species for the time being in contrast. This study examined the correlation between each community and the environment according to DCCA ordination. The Q. mongolica community predominated in the highest elevation habitats which had many C.E.C and T-N. F. mandshurica community predominated in the highest elevation habitats which had many Moisture and EX-Cation. The Q. serrata community and C. laxiflora community mainly occurred in the low elevation habitats which had few C.E.C and T-N. The C. controversa community appeared on the park in the middle habitats.

Purification and Characterization of Fibrinolytic Enzymes from Tricholoma saponaceum (할미송이버섯으로부터 혈전용해효소의 정제 및 특성 연구)

  • Kim, Jun-Ho
    • The Korean Journal of Mycology
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    • v.28 no.1
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    • pp.60-65
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    • 2000
  • Two fibrinolytic enzymes were purified from the fruiting bodies of Tricholoma saponaceum. The enzymes have a molecular weight of 18(FE-1) and 18.2(FE-2) kDa, respectively, and include $Zn^{2+}$ ion as determined by ICP/MS. The N-terminal amino acid sequence of the two enzymes were exactly the same: A-L-Y-V-G-X-S-P-X-Q-Q-S-L-L-V. The activity of FE-1 was highly inhibited by EDTA and 1,10-phenanthroline, indicating that the enzyme is a metalloprotease. The activity of FE-1 was slightly increased by $Mg^{2+},\;Zn^{2+},\;Fe^{2+}\;and\; Co^{2+}$, however, the enzyme activity was totally inhibited by $Hg^{2+}$. Addition of $Zn^{2+}\;and\;Co^{2+}$ reversed the inhibition caused by 1,10-phenanthroline. It has a pH optimum at pH 7.5, suggested that FE-1 was a neutral protease. It shows the maximum fibrinolytic activity at $55^{\circ}C$, is completely inactivated above at $65^{\circ}C$.

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LEAST SQUARES SOLUTIONS OF THE MATRIX EQUATION AXB = D OVER GENERALIZED REFLEXIVE X

  • Yuan, Yongxin
    • Journal of applied mathematics & informatics
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    • v.26 no.3_4
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    • pp.471-479
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    • 2008
  • Let $R\;{\in}\;C^{m{\times}m}$ and $S\;{\in}\;C^{n{\times}n}$ be nontrivial unitary involutions, i.e., $R^*\;=\;R\;=\;R^{-1}\;{\neq}\;I_m$ and $S^*\;=\;S\;=\;S^{-1}\;{\neq}\;I_m$. We say that $G\;{\in}\;C^{m{\times}n}$ is a generalized reflexive matrix if RGS = G. The set of all m ${\times}$ n generalized reflexive matrices is denoted by $GRC^{m{\times}n}$. In this paper, an efficient method for the least squares solution $X\;{\in}\;GRC^{m{\times}n}$ of the matrix equation AXB = D with arbitrary coefficient matrices $A\;{\in}\;C^{p{\times}m}$, $B\;{\in}\;C^{n{\times}q}$and the right-hand side $D\;{\in}\;C^{p{\times}q}$ is developed based on the canonical correlation decomposition(CCD) and, an explicit formula for the general solution is presented.

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On the Characteristics of Oxide Film on Gap (GaP 산화막 특성에 관하여)

  • Park, J.W.;Moon, D.C.;Kim, S.T.
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.193-195
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    • 1988
  • The native oxide films were thermally and anodically formed on the n-GaP substrates grown by SSD method and measured this oxide thickness and the chemical composition and the electrical properties with formation condition. The chemical composition of themally oxidized GaP film was composed of mostly $GaPO_4$ at temperature below $800^{\circ}C$ and mostly $\beta-Ga_{2}O_{3}$ above $800^{\circ}C$. But The chemical composition of anodically oxidized GaPfilm was composed of the mixture of $Ga_{2}O_{3}$ and $P_{2}O_{5}$. The barrier height of Al/oxide/n-Gap which was formed at $700^{\circ}C$ by thermal oxidation method were 1.10eV, 1.03eV in Current-Voltage measurement. Interface charge density were $4{\times}10^{12}q(C/cm^2)$ and $3{\times}10^{12}q(C/cm^2)$ in Capacitance-Voltage measurement respectively.

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A Study on the Relative Decay Durability of Quercus Species (참나무류(類)의 비교내후성(比較耐朽性)에 관한 연구(硏究))

  • Min, Kyeong-Heui;Chung, Dae-Kyo
    • Journal of the Korean Wood Science and Technology
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    • v.15 no.2
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    • pp.16-25
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    • 1987
  • This study was carried out under controlled laboratory conditions in order to investigate the relative durability to decay of 6 Quercus species. The relative durability to decay was expressed by the percentage of weight loss by Lentinus edodes and Pleuratus ostreatus. The results obtained could be summarized as follows: 1. The most decay-resistant parts by L. edodes were heart wood of Q. sarrata TH. and sap wood of Q. aliena BL. and the least decay-resistant parts were heart wood of Q. acutissima C. and sap wood of Q. dentata TH.. 2. The most decay-resistant parts by P. osteratus were heart wood of Q. serrata TH. and sap wood of Q. aliena BL. and the least decay-resistant parts were heart wood of Q. variabilis BL. and sap wood of Q. dentata. TH.. 3. The percentage of weight loss in 6 Quercus species by section-height was not a consistent variation. 4. Putting these results together, Quercus aliena BL, could be regarded as the most decay-resistant by L. edodes and P. osteratus under normal condition among 6 Quercus species.

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The Signal Transduciton of Ginsenosides, Active Ingredients of Panax ginseng, in Xenopus oocyte: A Model System for Ginseng Study

  • Nah Seung-Yeol;Lee Sang-Mok
    • Proceedings of the Ginseng society Conference
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    • 2002.10a
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    • pp.66-83
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    • 2002
  • Recently, we have provided evidence that ginsenosides, the active components of Panax ginseng, utilize pertussis toxin (PTX)-insensitive $G{\alpha}_{q/11}-phospholipase\;C-{\beta}3(PLC-{\beta}3)$ signal transduction pathway for the enhancement of $Ca^{2+}-activated\;Cl^{-}$ current in the Xenopus oocyte (British J. Pharmacol. 132, 641-647, 2001; JBC 276, 48797-48802, 2001). Other investigators have shown that stimulation of receptors linked to $G{\alpha}-PLC$ pathway inhibits the activity of G proteincoupled inwardly rectifying $K^+$ (GIRK) channel. In the present study, we sought to determine whether ginsenosides influenced the activity of GIRK 1 and GIRK 4 (GIRK 1/4) channels expressed in the Xenopus oocyte, and if so, the underlying signal transduction mechanism. In oocyte injected with GIRK 1/4 channel cRNAs, bath-applied ginsenosides inhibited high potassium (HK) solution-elicited GIRK current $(EC_{50}:4.9{\pm}4.3\;{\mu}g/ml).$ Pretreatment of the oocyte with PTX reduced the HK solution-elicited GIRK current by $49\%,$ but it did not alter the inhibitory ginsenoside effect on GIRK current. Prior intraoocyte injection of cRNA(s) coding $G{\alpha}_q,\;G{\alpha}_{11}\;or\;G{\alpha}_q/G{\alpha}_{11},\;but\;not\;G{\alpha}_{i2}\;or\;G{\alpha}_{oA}$ attenuated the inhibitory ginsenoside effect. Injection of cRNAs coding $G{\beta}_{1{\gamma}2}$ also attenuated the ginsenoside effect. Similarly, injection of the cRNAs coding regulators of G protein signaling 1, 2 and 4 (RGS1, RGS2 and RGS4), which interact with $G{\alpha}_i\;and/or\;G{\alpha}_{q/11}$ and stimulates the hydrolysis of GTP to GDP in active GTP-bound $G{\alpha}$ subunit, resulted in a significant reduction of ginsenoside effect on GIRK current. Preincubation of GIRK channel-expressing oocyte in PLC inhibitor (U73122) or protein kinase C (PKC) inhibitor (staurosporine or chelerythrine) blocked the inhibitory ginsenoside effect on GIRK current. On the other hand, intraoocyte injection of BAPTA, a free $Ca^{2+}$ chelator, had no significant effect on the ginsenoside action. Taken together, these results suggest that ginsenosides inhibit the activity of GIRK 1/4 channel expressed in the Xenopus oocyte through a PTX-insensitive and $G{\alpha}_{q/11}$-,PLC-and PKC-mediated signal transduction pathway.

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