• Title/Summary/Keyword: $M_gB_2$

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KNOTS WITH ARBITRARILY HIGH DISTANCE BRIDGE DECOMPOSITIONS

  • Ichihara, Kazuhiro;Saito, Toshio
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1989-2000
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    • 2013
  • We show that for any given closed orientable 3-manifold M with a Heegaard surface of genus g, any positive integers b and n, there exists a knot K in M which admits a (g, b)-bridge splitting of distance greater than n with respect to the Heegaard surface except for (g, b) = (0, 1), (0, 2).

Karyotype Analysis of Juniperus rigida Sieb. et Zucc. of Two Different Provenances in Korea (한국산(韓國産) Juniperus rigida의 두 산지(産地)의 핵형분석(核型分析))

  • Kim, Chung Suk;Chung, Woo Kyu;Ahn, Joong Kug;Jeong, Mee Jeong;Han, Chang Sook
    • Journal of Korean Society of Forest Science
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    • v.73 no.1
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    • pp.9-13
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    • 1986
  • Karyotypes are described for Juniperus rigida Sieb. et zucc, in two provenances of Gyeong-nam and Choong-puk. Chromosome numbers of two provenances, are 2n=22. The most common feature of mitotic chromosomes was shown at the chromosome 7, which has secondary constriction on the short arm. And the most differential chromosome was shown at chromosome 9 from Gyeong-nam and chromosome 5 from Choong-puk provenance which bore secondary constriction. The karyotype formulae are as follows; Gyeong-nam, Jinyang provenance race is $$K(2n)=22=2A^m+2B^m+2C^m+2D^{sm}+2E^{st}+2F^m+2^{sc}G^m+2H^m+2^{sc}I^t+2J^{st}+2K^m$$ Choong-puk, Jechun provenance race is $$K(2n)=22=2A^m+2B^m+2C^m+2D^{st}+2^{sc}E^{sm}+2F^m+2^{sc}G^m+2H^m+2I^m+2J^{st}+2K^{sm}$$.

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POSITIVE SOLUTION FOR A CLASS OF NONLOCAL ELLIPTIC SYSTEM WITH MULTIPLE PARAMETERS AND SINGULAR WEIGHTS

  • AFROUZI, G.A.;ZAHMATKESH, H.
    • Journal of applied mathematics & informatics
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    • v.35 no.1_2
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    • pp.121-130
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    • 2017
  • This study is concerned with the existence of positive solution for the following nonlinear elliptic system $$\{-M_1(\int_{\Omega}{\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^pdx)div({\mid}x{\mid}^{-ap}{\mid}{\nabla}u{\mid}^{p-2}{\nabla}u)\\{\hfill{120}}={\mid}x{\mid}^{-(a+1)p+c_1}\({\alpha}_1A_1(x)f(v)+{\beta}_1B_1(x)h(u)\),\;x{\in}{\Omega},\\-M_2(\int_{\Omega}{\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^qdx)div({\mid}x{\mid}^{-bq}{\mid}{\nabla}v{\mid}^{q-2}{\nabla}v)\\{\hfill{120}}={\mid}x{\mid}^{-(b+1)q+c_2}\({\alpha}_2A_2(x)g(u)+{\beta}_2B_2(x)k(v)\),\;x{\in}{\Omega},\\{u=v=0,\;x{\in}{\partial}{\Omega},$$ where ${\Omega}$ is a bounded smooth domain of ${\mathbb{R}}^N$ with $0{\in}{\Omega}$, 1 < p, q < N, $0{\leq}a$ < $\frac{N-p}{p}$, $0{\leq}b$ < $\frac{N-q}{q}$ and ${\alpha}_i,{\beta}_i,c_i$ are positive parameters. Here $M_i,A_i,B_i,f,g,h,k$ are continuous functions and we discuss the existence of positive solution when they satisfy certain additional conditions. Our approach is based on the sub and super solutions method.

The Effects of RPE of Step Aerobics on the Immunologic Function of High School Girls (Step aerobics의 RPE가 여고생의 면역기능에 미치는 영향)

  • Kwon, Sun-Ok;Jeong, Seon-Tae
    • Journal of Life Science
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    • v.20 no.2
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    • pp.304-313
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    • 2010
  • Out of the tenth graders of K girl's high school in J city, 24 students whose %fat was over 30% were divided into 3 groups through Purposing Sampling. Groups A and B were exercise groups and C was the control group. Using Borg's RPE (rating of perceived exertion), RPE 15-17 (hard-very hard) $\times$ 3 sets were set up for group A, RPE 11-13 (fairly light-somewhat hard) $\times$ 3 sets were set up for group B, and both groups performed step aerobics (step box: 68cm in length, 28cm in width, 15cm in hight, 450g in weight) for 50-60 minutes a day, 3 days a week for 8 weeks in total. This research was conducted to find out the effects of various RPE in step aerobics on the immunologic function (neutrophil, lymphocyte, monocyte, eosinophil, basophil, IgG, IgA, and IgM levels) of overweight female high school students. By using SPSS Ver. 14.0, a repeated two-way ANOVA was conducted to find out the effects of interaction between the groups and time period, paired t-test to evaluate data within each group, and pre- and post experiment difference rates (%diff) to perform one-way ANOVA for group comparisons. The following results were found. As for WBC, within group A, neutrophil, monocyte, basophil, and eosinophil levels increased, while lymphocyte levels remained the same. Within group B, eosinophil levels decreased while neutrophil, lymphocyte, monocyte, and basophil levels showed no differences. Within the control group, neutrophil, basophil, and eosinophil levels decreased while lymphocyte and monocyte levels showed no differences. As for the group comparisons, neutrophil levels increased more in group A than group B and the control group. There were no differences in lymphocyte levels among the three groups. Monocyte levels increased more in group A and B than the control group. Basophil and Eosinophil increased more in group A than group B and the control group. As for immunoglobin, within group A, the IgG level increased but the levels of IgA and IgM did not change. Within group B, the IgA level increased but the level of IgG decreased, and the level of IgM did not change. Within the control group, the IgG level decreased but the levels of IgA and IgM did not change. As for the group comparisons, the level of IgA increased more in group A than the control group, and the level of IgG increased more in group A than group B and the control group, but levels of IgM among the three groups did not show any difference. In summary, WBC and Ig levels showed that the three groups remained at the reference interval even after the exercise program. However, group A, which performed RPE 15-17 in step aerobics, showed increase in more measured items than the other groups, and this implies that the immunologic function has improved in the range of the reference intervals. Therefore, it will be effective to conduct step aerobics with the RPE 15-17 (hard-very hard) in order to increase the immunologic function.

Soil Microarthropods at the Kwang Yang Experiment Plantation -1. Composition of Oribatid Mites (Acari: Cryptostigmata)- (서울대 광양연습림내 토양 미소 절지동물에 관한 연구 -1. 날개응애의 종조성)

  • Kwak, Joon Soo
    • The Korean Journal of Ecology
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    • v.10 no.1
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    • pp.23-31
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    • 1987
  • This study was carried out to investigate by the MGP analysis the composition of oribatid mite in coniferous and broad-leaved forests, Kwang Yng experiment plantation, Chola Nam Do Province, southern part of Korea. In these study area, 157 species of oribatid mites (Acari: Cryptogimata) were identified. Among them 6 species such as; Brachychochthonius jugatus JACOT, B hungaricus BALOGH, Eremulus translamealtus BALOGH et. MAHUNKA, Brachioppiella ctenifera GOLOSOVA, Striatoppia opuntiseta BALOGH et. MAHUNKA, Suctobelba perdentata baculifer BALOGH et. MAHUNKA have not been described in Korea. Species compositions were as follows; Among them 69 species were found in all the six sampling sites, 33 species scattered sporadically in all the area, 12 species found in coniferous forest, 10 species in broad-leaved forest only, and 33 species sampled at one site. According to the MGP analysis I, site B-1, B-2, and B-3 were found to be "Type G" and site C-1, C-2, and C-3 were "Type MG". According to the MGP analysis II, site B were found to be all "Type G". But site C-1 was "Type MG", C-2 was "Type M" and C-3 was "Type G" suggesting that "Group M" increased in the site C.e G" suggesting that "Group M" increased in the site C. in the site C.

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Induction of G2/M Cell Cycle Arrest by Glutamine Deprivation in Human Prostate Carcinoma PC3 Cells (글루타민 결핍에 의한 PC3 인체 전립선 암세포의 G2/M 세포주기 억제 유발)

  • Shin, Dong Yeok;Choi, Sung Hyun;Park, Dong Il;Choi, Yung Hyun
    • Journal of Life Science
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    • v.23 no.6
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    • pp.832-837
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    • 2013
  • In this study, it was investigated the possible mechanisms by which glutamine deprivation exerts its anti-proliferative action in cultured human prostate carcinoma PC3 cells. Glutamine deprivation resulted in inhibition of growth and G2/M arrest of the cell cycle in a time-dependent manner without apoptosis induction, as determined by MTT assay, DAPI staining and flow cytometry analyses. The induction of G2/M arrest by glutamine deprivation was associated with the inhibition of expression of Cdc2, cyclin A and cyclin B1, and up-regulation of the expression of cyclin-dependent kinase (Cdk) inhibitor p21(WAF1/CIP1) in both transcriptional and translational levels. Moreover, glutamine deprivation increased the phosphorylation of checkpoint kinase (Chk)1 and Chk2; however, the levels of Cdc25C phosphorylation were decreased in response to glutamine deprivation in a time-dependent manner. Our data provide a first biochemical evidence that glutamine deprivation suppresses cell viability through G2/M phase arrest without induction of apoptosis in PC3 cells.

UNITARILY INVARIANT NORM INEQUALITIES INVOLVING G1 OPERATORS

  • Bakherad, Mojtaba
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.889-899
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    • 2018
  • In this paper, we present some upper bounds for unitarily invariant norms inequalities. Among other inequalities, we show some upper bounds for the Hilbert-Schmidt norm. In particular, we prove $${\parallel}f(A)Xg(B){\pm}g(B)Xf(A){\parallel}_2{\leq}{\Large{\parallel}}{\frac{(I+{\mid}A{\mid})X(I+{\mid}B{\mid})+(I+{\mid}B{\mid})X(I+{\mid}A{\mid})}{^dA^dB}}{\Large{\parallel}}_2$$, where A, B, $X{\in}{\mathbb{M}}_n$ such that A, B are Hermitian with ${\sigma}(A){\cup}{\sigma}(B){\subset}{\mathbb{D}}$ and f, g are analytic on the complex unit disk ${\mathbb{D}}$, g(0) = f(0) = 1, Re(f) > 0 and Re(g) > 0.

Variation of Inclusion Selectivities of the Cadmium Host Complexes with Ammonium Oniums for Aromatic Guest Molecules (암모니움 이온을 가진 카드뮴 호스트 착물의 방향족 게스트 분자에 대한 포접선택성 변화)

  • Kim, Chong-Hyeak;Lee, Sueg-Geun
    • Analytical Science and Technology
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    • v.17 no.3
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    • pp.282-288
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    • 2004
  • Inclusion selectivities of the cyanocadmate host complexes with ammonium oniums, $[Cd_x(CN)_{2x}][onium{\cdot}zG]$ (onium = $NMe_3Et^+$, $NMeEt{_3}^+$ and $NEt{_4}^+$, G = guest), have been investigated for $C_6H_6$ (B), PhMe (T), PhEt (E), ortho (O), meta (M), and para (P) isomers of $C_6H_4Me_2$ as the aromatic guest molecules. From the binary, ternary, quaternary and quinary mixed guests of B, T, E, O, M and P, the order of preference in the $NMe_3Et+$-host is $B{\gg}$T>P${\fallingdotseq}O{\fallingdotseq}M$ and E>O${\gg}P{\fallingdotseq}M$; in the $NMeEt{_3}^+$-host is T>B>P${\gg}O{\fallingdotseq}M$ and E>P${\gg}$M>O; in the $NEt{_4}^+$-host is $B{\gg}T{\fallingdotseq}O{\fallingdotseq}M{\fallingdotseq}P$. However, the $NEt{_4}^+$-host complexes of E, O, M and P mixed-guests were not obtained. These inclusion selectivities were compared to our previous results of the $NMe{_4}^+$-host; T>B>P${\gg}$M>O and E>P${\gg}$M>O.

Immobilization of Cyclodextrin Glucanotransferase for Production of 2-O-\alpha-D-Glucopyranosyl L-Ascorbic Acid. (2-O-\alpha-D-Glucopyranosyl L-Ascorbic acid 생산을 위한 Cyclodextrin glucanotransferase의 고정화)

  • 성경혜;김성구;장경립;전홍기
    • Microbiology and Biotechnology Letters
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    • v.31 no.4
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    • pp.368-376
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    • 2003
  • Cyclodextrin glucanotransferase (CGTase) from Paenibacillus sp. JB-13 was immobilized on various carriers by several immobilization methods such as ionic binding, covalent linkage and ultrafiltration to improve the process performance. The ultrafiltration and covalent linkage with CNBr-activated sepharose 4B were found as the best method for immobilization of CGTase. The ability of CGTase immobilization onto CNBr-activated sepharose 4B was as high as 18,000 units/g resin when the conditions was as follows: contact time 9 hrs at $37^{\circ}C$, pH 6.0, 100 nm and enzyme loading 24,000 units/g resin. The optimum conditions for production of 2-O-$\alpha$-D-Glucopyranosyl L-Ascorbic acid by immobilized CGTase turned out to be: pH 5.0, temperature $37^{\circ}C$, 20% substrate solution containing 8% (w/v) of soluble starch and 12% (w/v) of L-ascorbic acid sodium salt, 100 rpm, far 25 hrs and with 800 units of immobilized CGTase/ml substrate solution. Moreover the CGTase activity could be stably maintained for 8 times of repetitive reactions after removing products by ultrafiltration through YM 10 membrane.

Electromagnetic Wave Scattering of the Perfect Conducting Body of Revolution (회전형 완전도체의 전자파 산란특성)

  • Kim, Jung-Ki
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.2
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    • pp.130-138
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    • 1988
  • The method of conjugate gradient (C.G.M.) is applied to the solution of current distribution from body of revolution(B.O.R.). Using the C.G.M., it is possible to analyze electrically large arbitratily oriented B.O.R.. The fundamental differencess between C.G.M. and moment are outlined. This method converge for any initial guess, and this techniqe guarantees a monotonic convegence. Numerical resulsts are presented for electromagnetic case which shows good agreements with moment solution.

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