• Title/Summary/Keyword: $Q_C^{-1}$

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THE BERGMAN KERNEL FOR INTERSECTION OF TWO COMPLEX ELLIPSOIDS

  • Beberok, Tomasz
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.5
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    • pp.1291-1308
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    • 2016
  • In this paper we obtain the closed forms of some hypergeometric functions. As an application, we obtain the explicit forms of the Bergman kernel functions for intersection of two complex ellipsoids {$z{\in}\mathbb{C}^3:{\mid}z_1{\mid}^p+{\mid}z_2{\mid}^q$ < 1, ${\mid}z_1{\mid}^p+{\mid}z_3{\mid}^r$ < 1}. We consider cases p = 6, q = r = 2 and p = q = r = 2. We also investigate the Lu Qi-Keng problem for p = q = r = 2.

Production of Coenzyme $Q_{10}$ by Recombinant E. coli Harboring the Decaprenyl Diphosphate Synthase Gene from Sinorhizobium meliloti

  • Seo Myung-Ji;Im Eun-Mi;Hur Jin-Haeng;Nam Jung-Yeon;Hyun Chang-Gu;Pyun Yu-Ryang;Kim Soon-Ok
    • Journal of Microbiology and Biotechnology
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    • v.16 no.6
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    • pp.933-938
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    • 2006
  • Decaprenyl diphosphate synthase (DPS) is the key enzyme for the production of coenzyme $Q_{10}$ ($CoQ_{10}$). A dps gene from Sinorhizobium meliioti KCCM 11232 (IFO 14782) was isolated by PCR and then cloned in Escherichia coli. DNA sequencing analysis revealed an open reading frame of 1,017 bp encoding a 338-amino-acid protein. The protein was identical at the 98% level to the putative octaprenyl diphosphate synthase (IspB) of S. meliloti 1021. The deduced amino acid sequence included the DDxxD domains conserved in the majority of the prenyl diphosphate synthases. Heterologous expression in E. coli BL21 (DE3) was carried out, and the $CoQ_{10}$ produced was then analyzed by HPLC. E. coli BL21 (DE3) harboring the dps gene from S. melioti produced CoQ$_{10}$ in addition to endogenous coenzyme Q$_8$ (CoQ$_8$), whereas wild-type E. coli BL21 (DE3) host did not have the ability of producing CoQ$_{10}$. The results suggest that the putative dps from S. meliloti KCTC 2353 encoded the DPS.

Computation of $Q_{10}$ Values and Shelf-life for Canned and Bottled Orange Juices (캔 및 병 오렌지쥬스의 저장온도에 따른 $Q_{10}$값 및 품질수명의 산정)

  • Lee, Nam-Kyung;Yoon, Jae-Young;Lee, Su-Rae
    • Korean Journal of Food Science and Technology
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    • v.27 no.5
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    • pp.748-752
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    • 1995
  • Canned and bottled orange juices currently sold in Korean market were stored for 24 weeks at 20, 30, 40 and $50^{\circ}C$ and analyzed after opening at 4 week intervals. Activation energy, $Q_{10}$ values and shelf-life at respective temperatures were calculated from the data on various quality indexes. Proposed indexes were lead, tin, iron and vitamin C contents in canned juices and vitamin C content and browning index in bottled juices and $Q_{10}$ values for these parameters were in the range of $1.3{\sim}2.0$. Shelf-life calculated for canned juices at 10, 20 and $30^{\circ}C$ were 10, 6 and 3 months and that in bottled juices, 24, 12 and 6 months, respectively. When the distribution temperature of juices in Korea is assumed to be $15^{\circ}C$ average, the optimum shelf-life was estimated to be 8 months in canned juices and 18 months in bottled juices. In order to ascertain the safety of canned orange juices, efforts are needed to re-examine the recommended distribution period, legal limit for lead and improvement of container materials.

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HIGHER ORDER NONLOCAL NONLINEAR BOUNDARY VALUE PROBLEMS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

  • Khan, Rahmat Ali
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.329-338
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    • 2014
  • In this paper, we study the method of upper and lower solutions and develop the generalized quasilinearization technique for the existence and approximation of solutions to some three-point nonlocal boundary value problems associated with higher order fractional differential equations of the type $$^c{\mathcal{D}}^q_{0+}u(t)+f(t,u(t))=0,\;t{\in}(0,1)$$ $$u^{\prime}(0)={\gamma}u^{\prime}({\eta}),\;u^{\prime\prime}(0)=0,\;u^{\prime\prime\prime}(0)=0,{\ldots},u^{(n-1)}(0)=0,\;u(1)={\delta}u({\eta})$$, where, n-1 < q < n, $n({\geq}3){\in}\mathbb{N}$, 0 < ${\eta},{\gamma},{\delta}$ < 1 and $^c\mathcal{D}^q_{0+}$ is the Caputo fractional derivative of order q. The nonlinear function f is assumed to be continuous.

Effect of Excess ZnO on Microwave Dielectric Characteristics of Ba(${Zn}_{1/3}{Ta}_{2/3}$)$O_3$ Ceramics (ZnO의 과잉첨가가 Ba(${Zn}_{1/3}{Ta}_{2/3}$)$O_3$세라믹스의 마이크로파 유전특성에 미치는 영향)

  • 이두희;윤석진;박창엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.43 no.4
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    • pp.613-619
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    • 1994
  • Dielectric properties of Ba(ZnS11/3TTaS12/3T)OS13T+x ZnO(x=0, 0.4, 0.8, 1.0 wt%) ceramics have been investigated at microwave frequencies. With excess ZnO, the sinterability was improved and the dielectric constant($\varepsilon$S1rT) and the unloaded quality factor(QS1UT) were increased. The structure changed into hexagonal from pseudocubic as being annealed at 140$0^{\circ}C$ in excess ZnO composition. Also, the temperature coefficient of the resonant frequency ($\tau$S1fT) turned into (-)ppm/$^{\circ}C$ when sintered at 155$0^{\circ}C$ for 2 hours. But the specimen sintered in ZnO muffling showed increased density and $\varepsilon$S1rT but lowerde QS1uT. Among the specimen investigated, expecially the composition added with 0.4wt% excess ZnO showed the most optimum dielectric values ($\varepsilon$S1rT=28, QS1uT x f=120000GHz) better than those of original Ba(ZnS11/2T TaS12/3T)OS13T ceramics.

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Genetic Mapping of QTLs that Control Grain Characteristics in Rice (Oryza sativa L.) (벼의 낱알 특성에 관여하는 양적형질유전자좌 분석)

  • Wacera, Home Regina;Safitri, Fika Ayu;Lee, Hyun-Suk;Yun, Byung-Wook;Kim, Kyung-Min
    • Journal of Life Science
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    • v.25 no.8
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    • pp.925-931
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    • 2015
  • We performed a molecular marker-based analysis of quantitative trait loci (QTLs) for traits that determine the quality of the appearance of grains, using 120 doubled-haploid (DH) lines developed by another culture from the F1 cross between ‘Cheongcheong’ (Oryza sativa L. ssp. Indica) and ‘Nagdong’ (Oryza sativa L. ssp. Japonica). The traits studied included length, width, and thickness of the grains, as well as length-to-width ratio and 1,000-grain weight. The objective of this study was to determine the genetic control of these traits in order to formulate a strategy for improving the appearance of this hybrid. Within the DH population, five traits exhibited wide variation, with mean values occurring within the range of the two parents. Three QTLs were identified for grain length on chromosomes 2, 5, and 7. Three QTLs were mapped for grain width on chromosome 2: qGW2-1, qGW2-2, and qGW2-3. Six chromosomes were identified for the grain length-to-width ratio; four of these were on chromosome 2, whereas the other two were on chromosomes 7 and 12. One QTL influencing 1,000-grain weight was identified and located on chromosome 8. The results presented in the present study should facilitate rice-breeding, especially for improved hybrid-rice quality.

Acute Respiratory Distress Syndrome after Rotavirus Infection in a C1q Nephropathy Patient: A Case Report

  • Kim, Hye Jin;Min, Jeesu;Kim, Ji Hyun;Choi, Yu Hyeon;Han, Mi Seon;Ha, Il-Soo;Kang, Hee Gyung
    • Childhood Kidney Diseases
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    • v.25 no.2
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    • pp.122-127
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    • 2021
  • C1q nephropathy is a rare glomerulopathy that typically presents with nephrotic syndrome in children. Treatment with immunosuppressive agents renders patients vulnerable to infection and its complications. Gastroenteritis is common in children, and rotavirus is a leading cause. Extraintestinal manifestations of rotavirus have recently been reported; however, there is a paucity of cases exploring the involvement of a rotavirus on the respiratory system. Acute respiratory distress syndrome (ARDS) is a rapid onset respiratory failure characterized by noncardiogenic pulmonary edema and hypoxemia. Causes of ARDS include sepsis, pneumonia, pancreatitis, aspiration, and trauma. In this paper, we report a case of ARDS after rotavirus infection in a child with C1q nephropathy who had been treated with immunosuppressive agents.

ON THE INDEFINITE POSITIVE QUADRIC ℚ+n-2

  • Hong, Seong-Kowan
    • East Asian mathematical journal
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    • v.32 no.1
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    • pp.93-100
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    • 2016
  • The generalized Gaussian image of a spacelike surface in $L^n$ lies in the indefinite positive quadric ${\mathbb{Q}}_+^{n-2}$ in the open submanifold ${\mathbb{C}}P_+^{n-1}$ of the complex projective space ${\mathbb{C}}P^{n-1}$. The purpose of this paper is to find out detailed information about ${\mathbb{Q}}_+^{n-2}{\subset}{\mathbb{C}}P_+^{n-1}$.

COUNTING FORMULA FOR SOLUTIONS OF DIAGONAL EQUATIONS

  • Moon, Young-Gu;Lee, June-Bok;Park, Young-Ho
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.803-810
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    • 2000
  • Let N($d_1,...,{\;}d_n;c_1,...,{\;}c_n$) be the number of solutions $(x_1,...,{\;}x_n){\in}F^{n}_p$ of the diagonal equation $c_lx_1^{d_1}+c_2x_2^{d_2}+{\cdots}+c_nx_n^{d_n}{\;}={\;}0{\;}n{\geq},{\;}c_j{\;}{\in}{\;}F^{*}_q,{\;}j=1,2,...,{\;}n$ where $d_j{\;}>{\;}1{\;}and{\;}d_j{\;}$\mid${\;}q{\;}-{\;}1$ for all j = 1,2,..., n. In this paper, we find all n-tuples ($d_1,...,{\;}d_n$) such that the reduced form of ($d_1,...,{\;}d_n$) and N($d_1,...,{\;}d_n;c_1,...,{\;}c_n$) are the same as in the theorem obtained by Sun Qi [3]. Improving this, we also get an explicit formula for the number of solutions of the diagonal equation, unver a certain natural restriction on the exponents.

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