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SIMPLE VALUATION IDEALS OF ORDER TWO IN 2-DIMENSIONAL REGULAR LOCAL RINGS

  • Hong, Joo-Youn;Lee, Hei-Sook;Noh, Sun-Sook
    • Communications of the Korean Mathematical Society
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    • v.20 no.3
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    • pp.427-436
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    • 2005
  • Let (R, m) be a 2-dimensional regular local ring with algebraically closed residue field R/m. Let K be the quotient field of R and v be a prime divisor of R, i.e., a valuation of K which is birationally dominating R and residually transcendental over R. Zariski showed that there are finitely many simple v-ideals $m=P_0\;{\supset}\;P_1\;{\supset}\;{\cdotS}\;{\supset}\;P_t=P$ and all the other v-ideals are uniquely factored into a product of those simple ones. It then was also shown by Lipman that the predecessor of the smallest simple v-ideal P is either simple (P is free) or the product of two simple v-ideals (P is satellite), that the sequence of v-ideals between the maximal ideal and the smallest simple v-ideal P is saturated, and that the v-value of the maximal ideal is the m-adic order of P. Let m = (x, y) and denote the v-value difference |v(x) - v(y)| by $n_v$. In this paper, if the m-adic order of P is 2, we show that $O(P_i)\;=\;1\;for\;1\;{\leq}\;i\; {\leq}\;{\lceil}\;{\frac{b+1}{2}}{\rceil}\;and\;O(P_i)\;=2\;for\;{\lceil}\;\frac{b+3}{2}\rceil\;{\leq}\;i\;\leq\;t,\;where\;b=n_v$. We also show that $n_w\;=\;n_v$ when w is the prime divisor associated to a simple v-ideal $Q\;{\supset}\;P$ of order 2 and that w(R) = v(R) as well.

Analysis of Insulation Breakdown Cause in 13.8 kV XLPE Cable (13.8 kV XLPE 케이블의 절연파괴 원인 분석)

  • Kim, Hee-Dong;Park, Yong-Hun;Park, Jae-Hyun;Kwon, Jae-Ho;Park, Deok-Hyun
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.1173-1174
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    • 2015
  • 내연 발전기(50 MW, 13.8 kV) 출력단자에서 차단기까지 연결된 13.8 kV XLPE(cross-linked polyethylene) 케이블에서 운전중에 절연파괴로 인해 지락이 발생하였다. XLPE 케이블의 건전성을 확인하기 위해 절연저항과 절연진단 시험을 수행하였다. 교류전압을 1~10 kV까지 증가하면서 XLPE 케이블의 유전정접 측정결과 A상과 C상은 0.1%로 일정하게 측정되었다. 반면에 B상의 유전정접은 1 kV에서 0.54%, 2 kV에서 0.68%, 3 kV에서 0.82%, 4 kV에서 1.12%로 증가하였다. 그리고 교류전압을 약 4.3 kV 인가 중에 진단장비가 차단되었다.

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Maximum Degree Vertex-Based Algorithm for Maximum Clique Problem (최대 클릭 문제에 관한 최대차수 정점 기반 알고리즘)

  • Lee, Sang-Un
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.1
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    • pp.227-235
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    • 2015
  • In this paper, I propose a linear time algorithm devised to produce exact solution to NP-complete maximum clique problem. The proposed algorithm firstly, from a given graph G=(V,E), sets vertex $v_i$ of the maximum degree ${\Delta}(G)$ as clique's major vertex. It then selects vertex $v_j$ of ${\Delta}(G)$ among vertices $N_G(v_i)$ that are adjacent to $v_i$, only to determine $N_G(v_i){\cap}N_G(v_j)$ as candidate cliques w and $v_k$. Next it obtains $w=w{\cap}N_G(v_k)$ by sorting $d_G(v_k)$ in the descending order. Lastly, the algorithm executes the same procedure on $G{\backslash}w$ graph to compare newly attained cliques to previously attained cliques so as to choose the lower. With this simple method, multiple independent cliques would also be attainable. When applied to various regular and irregular graphs, the algorithm proposed in this paper has obtained exact solutions to all the given graphs linear time O(n).

Judgement Criterion of Insulation Deterioration in 4.16kV and 6.6kV Motor Stator Windings (4.16kV 및 6.6kV 전동기 고정자 권선의 절연열화 판정기준)

  • Kim, Hee-Dong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.4
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    • pp.788-794
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    • 2009
  • To assess the condition of stator insulation, nondestructive tests were performed on twenty five coil groups and twenty six motors. The stator windings has nominal ratings of 6.6kV and are classified into five coil groups ;one group with healthy insulation and four groups with four different types of artificial defects. After completing nondestructive tests, the AC voltage applied to the stator windings was gradually increasing until insulation failure in order to obtain the breakdown voltage. No.1, No.2 and No.6 of 6.6kV motors failed near rated voltage of 14kV, 8.7kV and 14kV, respectively. The breakdown voltage of three motors was lower that expected for good quality coils(14.2kV) in 6.6kV motors. No.3 and No.6 of 4.16kV motors failed near rated voltage of 5.6kV and 4.2kV, respectively. Almost all of failures were located in a line-end coil at the exit from the core slot. The breakdown voltages and the types of defects showed strong relation to the stator insulation tests such as in the case of AC current, dissipation factor(tan${\delta}$) and partial discharge magnitude.

Evaluation of Dose Reduction and Maintaining Image Quality according to Exposure Factors of Cone Beam Computed Tomography (콘빔전산화단층촬영에서 노출 조건에 따른 화질 유지 및 선량 감소에 대한 평가)

  • Han, Jin-Woo
    • Journal of the Korean Society of Radiology
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    • v.14 no.4
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    • pp.353-360
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    • 2020
  • This research aims at suggesting exposure condition that shows maintaining the value of the physical image quality factor by decreasing tube voltage and tube current from the standard exposure condition(80 kV, 7 mA) of a CBCT apparatus. To measure the value of the physical image quality factor, modular transfer function(MTF) was analyzed and dose-area product(DAP) was used for the measurement of exposure dose. CBCT images of a Sedentex IQ phantom were obtained under 15 exposure conditions of different combination of tube voltage(80, 78, 76 kV) and tube current(7, 6, 5, 4, 3 mA) and MTF 10 was calculated under each exposure conditions. There were no significant differences in MTF 10 under 80 kV-6 mA, 80 kV-5 mA exposure conditions in comparison with standard exposure condition. Based on the results of this research, 80 kV-5 mA condition are expected to be able to reduce exposure dose with maintaining the value of the physical image quality factor of the standard exposure condition.

Phylogenetic analysis of Viburnum (Adoxaceae) in Korea using DNA sequences

  • CHOI, Yun Gyeong;YOUM, Jung Won;LIM, Chae Eun;OH, Sang-Hun
    • Korean Journal of Plant Taxonomy
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    • v.48 no.3
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    • pp.206-217
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    • 2018
  • The nucleotide sequences of the chloroplast rbcL, matK, and psbA-trnH and nuclear internal transcribed spacer (ITS) regions were determined from all species of Viburnum in Korea with multiple accessions to reconstruct the phylogeny and to evaluate the utility of the DNA sequences as DNA barcodes. The results of phylogenetic analyses of the cpDNA and ITS data are consistent with the findings of previous studies of Viburnum. Four morphologically closely related species, V. dilatatum, V. erosum, V. japonicum, and V. wrightii, were included in a strongly supported sister clade of V. koreanum and V. opulus. Viburnum odoratissimum is suggested to be sister to the V. dilatatum/V. koreanum clade in the cpDNA data, while V. odoratissimum is a sister to V. furcatum in the ITS data. Viburnum burejaeticum and V. carlesii are strongly supported as monophyletic. Our analyses of DNA barcode regions from multiple accessions of the species of Viburnum in Korea confirm that six out of ten species in Korea can be discriminated at the species level. The V. dilatatum complex can be separated from the remaining species according to molecular data, but the resolution power to differentiate a species within the complex is weak. This study suggests that regional DNA barcodes are useful for molecular species identification in the case of Viburnum when flowering or fruiting materials are not available.

Development a computer system to support the route selecting and surveying of a transmission line (송전선 설계지원 SYSTEM의 구축)

  • Jung, Tay-Ho;Kim, Shin-Chul;Lee, Chong-Soo;Kim, Choon-Gu;Kang, Hee-Kwon;Kim, Jung-Ho
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.831-833
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    • 1998
  • It is getting more difficult to construct new transmission lines, due to the increase of people's demand resulting from the change of social environment and people's consciousness. In order to solve these complicated conditions. we developed a computer system to support the route selecting and surveying of a transmission line. This paper introdouces the methodology for route selecting, designing, surveying of a transmission line and tower designing process using a computer system.

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V-SEMICYCLIC MAPS AND FUNCTION SPACES

  • Yoon, Yeon Soo;Yu, Jung Ok
    • Journal of the Chungcheong Mathematical Society
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    • v.9 no.1
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    • pp.77-87
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    • 1996
  • For any map $v:X{\rightarrow}Y$, the generalized Gottlieb set $G({\Sigma}A;X,v,Y)$ with respect to v is a subgroup of $[{\Sigma}A,Y]$. If $v:X{\rightarrow}Y$ has a left homotopy inverse $u:X{\rightarrow}Y$, then for any $f{\in}G({\Sigma}A;X,v,Y)$, $g{\in}G({\Sigma}A;X,u,Y)$, the function spaces $L({\Sigma}A,X;uf)$ and $L({\Sigma}A,X;g)$ have the same homotopy type.

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Stimulation of Cephalosporin C Production by Acremonium chrysogenum M35 with Fatty Acids

  • Kim Jong-Chae;Kang Seong-Woo;Lim Jung-Soo;Song Yoon-Seok;Kim Seung-Wook
    • Journal of Microbiology and Biotechnology
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    • v.16 no.7
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    • pp.1120-1124
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    • 2006
  • Supplementation with rice oil and its major components (oleic acid and linoleic acid) was found to have a significant influence on cephalosporin C (CPC) production and cell growth by A. chrysogenum M35 in shake flask cultures. Five percent (v/v) rice oil had the most robust effect and 5% (v/v) oleic acid was the second most efficient on cell growth, whereas 3% (v/v) linoleic acid was found to be optimal for CPC production. Rice oil, oleic acid, and linoleic acid also significantly improved the rates of glucose consumption. When glucose was almost consumed, CPC production was initiated and, on the addition of rice oil, lipase activity increased steadily to 1.56 U/ml for 4 days. These results suggest that rice oil and fatty acids are used as carbon source to produce CPC by A. chrysogenum M35. Moreover, a mixture, composed of 40% (v/v) oleic acid and 60% (v/v) linoleic acid, had the strongest stimulatory effect on CPC production, due to a synergistic effect of the two fatty acids. Consequently, the maximum CPC titer (7.44 g/l) was improved about 4.5-fold.

Studies on the Electrochemical Properties of $TiO_{2-x}$ Thin Films ($TiO_{2-x}$ 박막의 전기화학적 성질에 관한 연구)

  • Q Won Choi;Chu Hyun Choe;Ki Hyung Chjo;Yong Kook Choi
    • Journal of the Korean Chemical Society
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    • v.30 no.1
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    • pp.19-26
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    • 1986
  • A titanium oxide thin films were prepared by air oxidation and vapour oxidation and a $TiO_2$ single crystal was reduced by heating in an argon atmosphere. All the electrode characteristics of the Ti$O_{2-x}$, thin films are not different from those of slightly reduced single crystal rutile. In cyclic voltammogram of oxygen containing electrolyte solution at Ti$O_{2-x}$ electrodes, cathodic peaks were observed at between -0.8V and -1.0V vs. SCE. The cathodic current near 0V vs. SCE in saturated solution with nitrogen was observed to be greater than in saturated solution with air. The chronoamperogram was represented by the equation of i = $i_0e^{-kt}$, when the rate constant k was represented by the equation of k =$k_0{[H^+]}^nexp(A{\eta}+E_a/RT)$ The values of activation energy $E_a $were found to be 4.6~4.8kcal/mole in overpotential range of 0.035∼0.145 V and 1.6kcal/mole in overpotential range of 0.2∼0.5V. The values of n and A were found to be 0. 1 and 5.4~5.6/V in range of 0.035~0.145V, and in range of 0.2~0.5V, to be 0.04 and 1.3/V, respectively. This can be interpreted as an totally irreversible reduction of oxygen.

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