• Title/Summary/Keyword: M1 M2

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BIRECURRENT HYPERSURFACES OF A RIEMANNIAN MANIFOLD WITH CONSTANT CURVATURE

  • Choe, Yeong-Wu
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.159-164
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    • 1989
  • Let M be a hypersurface of dimension n(.geq.2) in an (n+1)-dimensional real space form over bar M(c) with constant curvature c and H the second fundamental tensor of M. M is said to be birecurrent if here exists a covariant tensor field .alpha. of order 2 such that .del.$^{2}$H=H .alpha., where .del. is the connection of M. Also, M is said to be recurrent if there exists a 1-form .betha. such that .del.H=H .betha.. Matsuyama [2] recently proved that a recurrent hypersurface M in a real space form is locally symmetric and a complete irreducible birecurrent hypersurface M in a real space form is recurrent. The main purpose of this paper is to characterize the birecurrent or recurrent hypersurface M of a Riemannian manifold with constant curvature c and to prove that M is classified as a cylinder, $M^{n}$ (c) or ( $c_{1}$)* $M^{n-r}$ ( $c_{2}$) where 1/ $c_{1}$+1/ $c_{2}$=1/c.

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Dust Spatial Distribution and Emission of Tunnel Ventilated Windowless Broiler Building (터널환기 무창육계사의 분진크기별 분포와 배출농도에 관한 연구)

  • Choi, H.C.;Yeon, G.Y.;Spmg, J.I.;Kang, H.S.;Kwon, D.J.;Yoo, Y.H.;Yang, C.B.;Chun, S.S.;Kim, Y.K.
    • Journal of Animal Environmental Science
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    • v.12 no.3
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    • pp.115-122
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    • 2006
  • This study investigated the spatial distribution of dust originating from tunnel-ventilated windowless broiler building measuring 12 m wide, 61 m long, with a side wall height of 3 m and a capacity of 16,982 birds. Dust concentrations in terms of total suspended particles (TSP), and particulate matter of sizes $10\;{\mu}m$(PM10), $2.5\;{\mu}m$(PM2.5), and $1\;{\mu}m(PM1)$ were measured at 30 minutes interval by using GRIMM Aerosol Monitor (GRIMM AEROSOL). The spatial distribution of dust showed the lower dust concentration in the inlet than in the outlet of the tunnel ventilation, and dust concentration decreasing as the dust size decreased, as follows: $317.9\;{\mu}g/m^3$ TSP; $74.7{\mu}m/m^3$ PM10; $9.7\;{\mu}g/m^3$ PM2.5; and $6.2\;{\mu}g/m^3$ PM1 in the inlet; and $2,678.5\;{\mu}g/m^3$ TSP; $555.5\;{\mu}g/m^3$ PM10; $33.3\;{\mu}g/m^3$ PM2.5; and $10.2\;{\mu}g/m^3$ PM1 in the outlet. The dust concentration emitted from the tunnel ventilated fan was $446.6\;{\mu}g/m^3$ TSP; $129.1\;{\mu}g/m^3$ PM10; $15.8\;{\mu}g/m^3$ PM2.5; and $6.1\;{\mu}g/m^3$ PM1 in the 3 meters from the fan and $25.1\;{\mu}g/m^3$ TSP; $8.8\;{\mu}g/m^3$ PM10; $5.6\;{\mu}g/m^3$ PM2.5; and $4.9\;{\mu}g/m^3$ PM1 in the 50 meters from the fan.

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Effects of the Temperature and Light Intensity on the Growth and Microcystin Production of Three Species of Microcystis (M. aeruginosa, M. ichthyoblabe, M. viridis) (Microcystis 3종(M. aeruginosa, M. ichthyoblabe, M. viridis)의 성장과 microcystins 생성에 대한 온도 및 조도의 영향)

  • Lee, Kyung-Lak;Jheong, Weon-Hwa;Kim, Jin-Hee;Kim, Han-Soon
    • Korean Journal of Ecology and Environment
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    • v.43 no.3
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    • pp.400-408
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    • 2010
  • The growth and microcystins production characteristics of three species of Microcystis (M. aeruginosa, M. ichthyoblabe, M. viridis) isolated from Yeongchun dam and Ankei dam in Kyungpook Province, South Korea were investigated at temperatures of $15{\sim}35^{\circ}C$ and light intensities of $35{\sim}180\;{\mu}mol\;m^{-2}\;s^{-1}$. All of the three species exhibited the highest growth rates (${\mu}_{max}$) over the $30^{\circ}C$. The maximum growth rates of M. aeruginosa and M. ichthyoblabe was observed at $70\;{\mu}mol\;m^{-2}\;s^{-1}$, while M. viridis showed maximum growth rate at $35\;{\mu}mol\;m^{-2}\;s^{-1}$. The maximum production of total microcystins was observed at $20^{\circ}C$, and the production of microcystins decreased according as temperature increase. The highest microcystins production of M. aeruginosa, M. ichthyoblabe and M. viridis observed at light intensities of $120\;{\mu}mol\;m^{-2}\;s^{-1}$, $70\;{\mu}mol\;m^{-2}\;s^{-1}$ and $35\;{\mu}mol\;m^{-2}\;s^{-1}$, respectively. The concentration of microcyst in production and microcystin types of three species according to temperatures and light intensities showed clear difference between the species.

GROUP-FREENESS AND CERTAIN AMALGAMATED FREENESS

  • Cho, Il-Woo
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.597-609
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    • 2008
  • In this paper, we will consider certain amalgamated free product structure in crossed product algebras. Let M be a von Neumann algebra acting on a Hilbert space Hand G, a group and let ${\alpha}$ : G${\rightarrow}$ AutM be an action of G on M, where AutM is the group of all automorphisms on M. Then the crossed product $\mathbb{M}=M{\times}{\alpha}$ G of M and G with respect to ${\alpha}$ is a von Neumann algebra acting on $H{\bigotimes}{\iota}^2(G)$, generated by M and $(u_g)_g{\in}G$, where $u_g$ is the unitary representation of g on ${\iota}^2(G)$. We show that $M{\times}{\alpha}(G_1\;*\;G_2)=(M\;{\times}{\alpha}\;G_1)\;*_M\;(M\;{\times}{\alpha}\;G_2)$. We compute moments and cumulants of operators in $\mathbb{M}$. By doing that, we can verify that there is a close relation between Group Freeness and Amalgamated Freeness under the crossed product. As an application, we can show that if $F_N$ is the free group with N-generators, then the crossed product algebra $L_M(F_n){\equiv}M\;{\times}{\alpha}\;F_n$ satisfies that $$L_M(F_n)=L_M(F_{{\kappa}1})\;*_M\;L_M(F_{{\kappa}2})$$, whenerver $n={\kappa}_1+{\kappa}_2\;for\;n,\;{\kappa}_1,\;{\kappa}_2{\in}\mathbb{N}$.

Evaluation of Sewage Treatment Plant Efficiency in the Variation of Sewage Inflow and Sludge Interface Height by Rainfall (강우로 인한 유입하수량 증가와 슬러지 계면높이 변화에 따른 하수처리장 효율평가)

  • Park, Hye-Sook;Song, Seok Heon
    • Journal of Korean Society of Environmental Engineers
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    • v.36 no.8
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    • pp.549-553
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    • 2014
  • Variation of sewage sludge interface height and flow rate by rainfall were applied to the actual public sewage treatment plant, and the efficiency of sewage treatment was evaluated by measuring $BOD_5$, $COD_{Mn}$, SS, T-N, and T-P. When both flow and interfacial height are increased, the treatment efficiencies in terms of the five water pollutants are decreased. Among them SS is the most critical pollutant in rainfall. When 0.5 Q inflow was applied, the efficiencies were 74.2% at the sludge interface height of 0.5 m, 76.4% at 1.0 m, 70.2% at 1.5 m, and 60.7% at 2.0 m. When 1.0 Q inflow was applied, the efficiencies were 71.7% at the sludge interface height of 0.5 m, 71.9% at 1.0 m, 46.4% at 1.5 m, and -38.0% at 2.0 m. Operation at 2.0 Q~2.0 m and 3.0 Q~1.0 m above the sludge rising phenomenon occurred causing adverse effects on the public bodies. If the flow rate increases, the processing efficiency is reduced from 74.2% to 17.3%, even though the sludge interface height was maintained at 0.5 m, so that the inflow adjustment was most important during rainfall, and the interface height of 1.0 m should be maintained to minimize the adverse effect on public water system.

Physicochemical properties and antioxidant activities of hot water extracts from medicinal fruit mixture (약용열매 혼합 열수 추출물의 이화학적 특성 및 항산화 활성)

  • Gu, Yul-Ri;Park, Hye-Mi;Jeong, Yoo Seok;Jung, Hee Kyoung;Yun, Jeong Hyun;Hong, Joo-Heon
    • Food Science and Preservation
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    • v.23 no.2
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    • pp.267-274
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    • 2016
  • This study was conducted to examine the physicochemical properties and antioxidant activities of medicinal fruit extracts (Corni fructus, Schizandra chinensis, Rubus coreanus Miquel and Lycii folium) with different extraction mixing ratios (MS, an equal ratio of the medicinal fruit = 1.25:1.25:1.25:1.25; M1, 2:1:1:1; M2, 1:2:1:1; M3, 1:1:2:1 and M4, 1:1:1:2) from medicinal fruit. pH, sugar content and acidity of the extracts were 3.22~3.52, $3.20{\sim}4.20^{\circ}Brix$ and 3.60~5.85%, respectively. The extraction yield of M2 (42.33%) was higher than those of MS (36.03%), M1 (40.40%), M3 (32.53%) and M4 (35.90%). The total polyphenol and flavonoid contents of M3 were 14.54 g/100 g and 5.65 g/100 g, respectively. The DPPH and ABTS radical scavenging activities of M3 at $1,000{\mu}g/mL$ were 86.09% and 90.49%, respectively. The ferric-reducing antioxidant power and the reducing power of M3 at $250{\sim}1,000{\mu}g/mL$ were $0.36{\sim}0.86{\mu}M$ and 0.21~0.96, respectively. The antioxidant activities of M3 were significantly higher than those of the other extracts. In conclusion, this study demonstrated that medicinal fruit extracts had potential as a functional material.

Analysis of calmodulin binding property of IQ motifs of IQGAP1 (IQGAP1내에 존재하는 IQ 부위들의 CaM 결합 특성 분석)

  • Jang, Deok-Jin
    • Analytical Science and Technology
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    • v.24 no.6
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    • pp.527-532
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    • 2011
  • IQ motif-containing GTPase-activating protein 1 (IQGAP1), which is a well-known $Ca^{2+}$-independent calmodulin (CaM) binding protein, is involved in various cellular functions such as cell proliferation and cell migration. IQGAP1 has four repeated IQ motifs, which are crucial for CaM binding. It has been shown that all four IQ motifs of IQGAP1 can bind to $Ca^{2+}$/CaM, while the third and fourth IQ motifs of IQGAP1 can bind to apoCaM. However, it has not been clear whether the CaM binding of IQ motifs of IQGAP1 was mediated directly or indirectly. In this study, we examined whether the binding between CaM and each IQ motif of IQGAP1 was direct in vitro. As a result, we found that IQ1 motif has a weak $Ca^{2+}$-dependent CaM binding. In contrast, IQ3 has a $Ca^{2+}$-dependent CaM binding. All other motifs have no significant CaM binding. We also found that IQ(2.7-3) and IQ(3.5-4.4) have CaM binding capacity. This finding indicates that IQ motifs of IQGAP1 plays a dynamic role via different motif interactions with $Ca^{2+}$/CaM or proCaM.

Stability Analysis of Multi-Functional Fishway with Underground Passage (지하이동통로가 구비된 다기능 어도의 안정성 검토)

  • Lee, Young-Jae
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.18 no.6
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    • pp.50-59
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    • 2014
  • In this paper, Reinforced concrete (R/C) and R/C+steel plate concrete slab was carried out by SAP2000 software program in order to compare the stability of the multi-functional fishway, that is Bonggok fishway, built at Bonggok river recently in Gumi city, when the size of underground passage is $1m{\times}0.2m$, $1m{\times}0.4m$, $1m{\times}0.6m$ and the velocity is 0.8m/s, 1.2m/s, 1.6m/s respectively for the S2 (R/C+S/C). The analysis shows the maximum stress of S2 decreases less 26~50% than that of Bonggok, bending moment of sidewall decreases less 28~54%, maximum stress of side wall decreases less 17~31%, bending moment of upper slab decreases less 24~47%, maximum stress of upper slab decreases less 4~20%, and bending moment decreases less 10~27% than that of Bonggok. The complementation is required as much as the following percent; 27% and 25% for the maximum stress and bending moment of underground passage, 15% and 24% for the side wall maximum stress and bending moment, and 10% and 14% for the upper slab maximum stress and bending moment, respectively. This result shows that the S2 is greatly superior to that of the Bonggok fishway, and underground passage size of $1m{\times}0.4m$ is superior to that of $1m{\times}0.2m$ or $1m{\times}0.6m$, and R/C+S/C slab is superior to that of R/C slab. This result is expected to be the basic data for the construction and design of the multi-functional fishway.

Determination of the Optimum Sampling Area for the Benthic Community Study of the Songdo Tidal Flat and Youngil Bay Subtidal Sediment (송도 갯벌과 영일만 조하대 저서동물의 군집조사를 위한 적정 채집면적의 결정)

  • Koh, Chul-Hwan;Kang, Seong-Gil;Lee, Chang-Bok
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.4 no.1
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    • pp.63-70
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    • 1999
  • The optimum sampling area which can be applied to the benthic community study is estimated from large survey data in the Songdo tidal flat and subtidal zone of Youngil Bay, Korea. A total of 250 samples by 0.02 $m^2$ box corer for the benthic fauna in Songdo tidal flat and 50 samples by 0.1 $m^2$ van Veen grab in Youngil Bay were taken from the total sampling area of 5 $m^2$. It was assumed that the sampling area could contain sufficient information on sediment fauna, if cumulative number of species, ecological indices, and similarity index by cluster analysis reflect the similarity level of 75% to those found at total sampling area (5 $m^2$). A total of 56 and 60 species occurred from Songdo tidal flat and Youngil Bay, respectively. The cumulative curve of the species number ($N_{sp}$) as a function of the sampling area (A in $m^2$ ) was fitted as $N_{sp}=37.379A^{0.257}$ ($r^2=0.99$) for intertidal fauna and $N_{sp}=40.895A^{0.257}$ ($r^2=0.98$) for subtidal fauna. Based on these curves and 75% of similarity to the total sampling area (5 $m^2$), the optimum sampling area was proposed as 1.6 $m^2$ for the intertidal and 1.5 $m^2$ for the subtidal fauna. Ecological indices (species diversity, richness, evenness and dominance indices) were again calculated on the basis of species composition in differently simulated sample sizes. Changes in ecological indices with these sample sizes indicated that samplings could be done by collecting fauna from < 0.5 $m^2$-1.5 $m^2$ on the Songdo tidal flat and from < 0.5 $m^2$-1.2 $m^2$ in Youngil Bay. Changes in similarity level of all units of each simulated sample size showed that sampling area of 0.3 $m^2$ (Songdo tidal flat) and 0.6 $m^2$ (Youngil Bay) should be taken to obtain a similarity level of 75%. In conclusion, sampling area which was determined by cumulative number of species, ecological indices and similarity index by cluster analysis could be determined as 1.5 $m^2$ (0.02 $m^2$ box corer, n=75) for Songdo tidal flat and 1.2 $m^2$ (0.1 $m^2$ van Veen grab, n=12) for Youngil Bay. If these sampling areas could be covered in the field survey, population densities of seven dominant species comprising 68% of the total faunal abundance occurring on Songdo tidal flat and six species comprising 90% in Youngil Bay can be estimated at the precision level of P=0.2.

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Effects of Metal-ions on Enzyme Activities from Hansenula anomala B-7 Grown in Medium Containing Cadmium (카드뮴 함유 배지에서 배양된 Hansenula anomala B-7의 Malate Dehydrogenase 활성에 미치는 금속 이온의 영향)

  • Yu, Tae Shick
    • Korean Journal of Microbiology
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    • v.34 no.4
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    • pp.225-230
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    • 1998
  • This study was carried out to investigate the effect of cadmium ion on activities of cadmium-adapted malate dehydrogenase (adapted-MDH), which is defined to be an enzyme obtained from an extreme cadmium-tolerant yeast Hansenula anomaul B-7 grown in medium containing 1 mM cadmium ion. Cadmium-nonadapted malate dehydrogenase (nonadapted-MDH), which is defined to be enzyme expressed in the cells grown in $Cd^{2+}$ -free medium was also characterized by the same manner. Activities of the adapted-MDH and the nonadapted-MDH were strongly induced to 450% and to 150% in comparision with the control examined with 1 mM $Cd^{2+}$, respectively. The adapted-MDH activity was stimulated to 147%, 150%, and 135% compared with the control analyzed with 1 mM $Zn^{2+}$, 1 mM $Mn^{2+}$, and 1 mM $Ca^{2+}$, respectively and to 925%, and 250% compared with the control analyzed in the presence of 2 mM $Cd^{2+}$, and 2.5 mM $Zn^{2+}$, respectively. Km values of the adapted-MDH and the nonadapted-MDH were calculated to be the same 6.9 mM for L-malate, respectively. The Km value of the nonadapted-MDH was not changed by $Cd^{2+}$ while Vmax of the nonadapted-MDH was increased by $Cd^{2+}$. In contrast, both the Km and the Vmax values of the adapted-MDH were changed by $Cd^{2+}$.

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