• Title/Summary/Keyword: Fractions as ratios

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A Study on the Integrated Approach to Multiplication in Elementary School Mathematics (초등학교 수학에서 곱셈의 통합적 접근에 대한 탐색)

  • Lee, Jiyoung
    • Journal of the Korean School Mathematics Society
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    • v.22 no.3
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    • pp.303-327
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    • 2019
  • This study proposed an integrated approach to multiplication as a way to help students understand multiplication in elementary mathematics. The integrated approach to multiplication is to give students a broad understanding of multiplication by solving a situation of multiplication in a variety of ways in mathematics classes, exploring and discussing each other's methods. The integrated approach to multiplication was derived from a number of previous studies that emphasized various approaches, a consistent approach, and a specific approach to multiplication. As results, the integrated approach of multiplication can be interpreted in four ways as a situation of multiplication, and each method is connected to important characteristics of multiplication emphasized in previous studies. In addition, this study has theoretically confirmed that the integrated approach to multiplication is important not only for multiplication but also for division, fraction and operation of fractions, ratios, rates, and proportions. This study is expected to provide some implications for teachers with regard to multiplication in elementary school mathematics.

Ionic Compositions of PM10 and Reactive Gases during Asian Dust Events in March 2007 (2007년 3월 서울 황사 사례의 PM10 이온조성과 반응성 기체 특성)

  • Park, In-Ji;Lim, Sae-Hee;Lee, Mee-Hye;Lee, Young-Jae;Kim, Jeong-Soo
    • Journal of Korean Society for Atmospheric Environment
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    • v.27 no.4
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    • pp.395-404
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    • 2011
  • Asian dust evens took place in Seoul on 27~28 March and 31 March~1 April 2007, during which the mass and chemical compositions of $PM_{10}$ were measured at urban area in Seoul, Korea. In conjunction with $PM_{10}$ compositions, the behaviors of gas precursors such as CO, $O_3$, $SO_2$, and $NO_2$ and meteorological parameters and air mass trajectories were thoroughly examined. The earlier case was a weak dust incidence which was characterized by elevated concentrations of CO, $SO_2$ and $NO_2$ as well as secondary aerosols. In contrast, the later showed the trait of the dust aerosols associated with high $PM_{10}$ mass and $Ca^{2+}$ concentrations. In general, the fractions of ionic species against mass decreased with increase in dust loading. The ratios of ${SO_4}^{2-}$ to ${NO_3}^-$ and $SO_2$ to $NO_2$ were similar in temporal variations, suggesting the concentrations of secondary aerosols were sensitive to the level of precursor gases. In this study, $Na^+$ and $Cl^-$ were also highly elevated during the heavy dust episode, which is thought to have originated from alkaline soils spreading through the northeast regions of China.

Suppressing Erwinia carotovora Pathogenicity by Projecting N-Acyl Homoserine Lactonase onto the Surface of Pseudomonas putida Cells

  • Li, Qianqian;Ni, Hong;Meng, Shan;He, Yan;Yu, Ziniu;Li, Lin
    • Journal of Microbiology and Biotechnology
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    • v.21 no.12
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    • pp.1330-1335
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    • 2011
  • N-Acyl homoserine lactones (AHLs) serve as the vital quorum-sensing signals that regulate the virulence of the pathogenic bacterium Erwinia carotovora. In the present study, an approach to efficiently restrain the pathogenicity of E. carotovora-induced soft rot disease is described. Bacillus thuringiensis-derived N-acyl homoserine lactonase (AiiA) was projected onto the surface of Pseudomonas putida cells, and inoculation with both strains was challenged. The previously identified N-terminal moiety of the ice nucleation protein, InaQ-N, was applied as the anchoring motif. A surface display cassette with inaQ-N/aiiA was constructed and expressed under the control of a constitutive promoter in P. putida AB92019. Surface localization of the fusion protein was confirmed by Western blot analysis, flow cytometry, and immunofluorescence microscopy. The antagonistic activity of P. putida MB116 expressing InaQ-N/AiiA toward E. carotovora ATCC25270 was evaluated by challenge inoculation in potato slices at different ratios. The results revealed a remarkable suppressing effect on E. carotovora infection. The active component was further analyzed using different cell fractions, and the cell surface-projected fusion protein was found to correspond to the suppressing effect.

Sedimentary Excess Barium from a Core of the Northwest Pacific Ocean: Geochemical Proxy

  • Suk, Bong-Chool;Park, Chan-Hong;Taira, Asahiko;Hyun, Sang-Min
    • Journal of the korean society of oceanography
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    • v.35 no.2
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    • pp.98-108
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    • 2000
  • A geochemical study on a hemipelagic core sediment taken from the northwest Pacific Ocean (eastern edge of the Shikoku Basin) was conducted to use of excess barium (Ba(ex)) for evaluate the paleoceano-graphic changes. Also, the excursion of sedimentary Ba(ex) was compared with those of biogenic opal, carbonate and organic carbon content in the sediment during the last glacial and interglacial periods. The calculated Ba(ex) derived from the major and minor element shows a distinctive glacial-interglacial variations, and the mass accumulation rate (MAR) of Ba(ex) shows coincident variations with the MARs of biogenic fractions. Especially, strong positive correlation (r$^2$=0.85) between the MAR of Ba(ex) and the MAR of biogenic carbonate is recognized. Based on the strong positive correlation(r$^2$=0.85) between the MAR of Ba(ex) and the MAR of carbonate content, we estimated the degree of carbonate dissolution rate during the glacial and interglacial periods. Assuming the proportional variation and the refractory nature of barium exist between two factors, the variation of index Ca/Ba ratio in sediment indicates the degree of carbonate dissolution. Sedimentary Ca/Ba ratios index clearly show a striking fluctuation between the glacial and interglacial periods with higher positive correlation during glacial and lower correlation during interglacial. This fact indicates enhanced carbonate dissolution during interglacial period. Thus, the sedimentary Ca/Ba ratio in sedimentary records can be used as one of the useful tools for estimation of the relative degree of carbonate dissolution. The excursion of Ba(ex) and the sedimentary Ca/Ba ratio follows the typical pacific carbonate dissolution type(enhanced dissolution during interglacial and reduced dissolution during glacial time) as suggested by previous work (e.g., Wu et al., 1990). Variation in sedimentary Ca/Ba ratio thus strongly supports that glacial-interglacial fluctuation in carbonate dissolution has been prevailed in the northwest Pacific Ocean.

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Changes in the Total Lipid, Neutral Lipid, Phospholipid and Fatty Acid Composition of Phospholipid Fractions during Pastirma Processing, a Dry-Cured Meat Product

  • Aksu, Muhammet Irfan;Dogan, Mehmet;Sirkecioglu, Ahmet Necdet
    • Food Science of Animal Resources
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    • v.37 no.1
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    • pp.18-28
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    • 2017
  • Pastirma is a dry-cured meat product, produced from whole beef or water buffalo muscles. This study was carried out to investigate the effect of production stages (raw meat, after curing, after $2^{nd}$ drying and pastirma) on the total lipid, neutral lipid, phospholipid and fatty acid composition of phospholipid fraction of pastirma produced from beef M. Longissimus dorsi muscles. The pH and colour ($L^*$, $a^*$ and $b^*$) analyses were also performed in raw meat and pastirma. It was found that pastirma production stages had significant effects (p<0.01) on the total amounts of lipid, neutral lipid and phospholipid, and the highest amounts of lipid, neutral lipid and phospholipid were detected in pastirma. In pastirma, neutral lipid ratio was determined as $79.33{\pm}2.06%$ and phospholipid ratio as $20.67{\pm}2.06%$. Phospholipids was proportionately lower in pastirma than raw meat. Pastirma production stages affected pentadecanoic acid (15:1) (p<0.01), linoleic acid (18:2n-6) (p<0.05), ${\gamma}-linoleic$ acid (18:3n-6) (p<0.05), erucic acid (22:1n-9) (p<0.05), docosapentaenoic acid (22:5n-6) (p<0.05), total unsaturated fatty acid (${\Sigma}USFA$) (p<0.05) and total saturated fatty acid (${\Sigma}SFA$) (p<0.05) ratios of phospholipid fraction and also the moisture content (p<0.01). Pastirma process also affected pH and colour ($L^*$, $a^*$ and $b^*$) values (p<0.01), and these values were higher in pastirma than raw meat.

A new and simple HSDT for thermal stability analysis of FG sandwich plates

  • Menasria, Abderrahmane;Bouhadra, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.25 no.2
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    • pp.157-175
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    • 2017
  • The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.

Anti-Inflammatory Effects of Abalone (Haliotis discus hannai) Viscera via Inhibition of ROS Production in LPS-Stimulated RAW 264.7 Cells

  • Shin, Tai-Sun;Choi, Kap Seong;Chun, Jiyeon;Kho, Kang-Hee;Son, Seon Ah;Shim, Sun-Yup
    • Microbiology and Biotechnology Letters
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    • v.50 no.1
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    • pp.22-30
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    • 2022
  • Haliotis discus hannai called abalone, is the valuable marine mollusks and the by-products of abalone processing are viscera. Brownish abalone male viscera (AMV), which have not been reported as having anti-inflammatory effects, was extracted with acetone and fractionated by different six acetone/hexane ratios (0, 10, 20, 30, 40, and 100%) using a silica column via in vitro ABTS and DPPH radical and nitric oxide (NO) production assay-guided fractionation. Among the fractions, the acetone/hexane ratio 40%, A40 exhibited the most potent radical scavenging activities and inhibition of lipopolysaccharide (LPS)-induced NO production without cytotoxicity. A40 inhibited LPS-induced intracellular reactive oxygen species (ROS) production in a dose-dependent manner. Western blot analysis revealed that A40 down-regulated the activation of NF-κB, MAPK (ERK 1/2, p-38, and JNK), and inflammatory enzymes, inducible nitric oxide synthase (iNOS) and cyclooxygenase (COX)-2. Moreover, this fraction inhibited the generation of pro-inflammatory cytokines such as interleukin (IL)-1β, IL-6, and tumor necrosis factor (TNF)-α. These results suggested that AMV containing A40 with anti-inflammatory and anti-oxidantive effects, is the effective therapeutic and functional material for treating inflammatory disorders.

Assessment of DNA Viability in Long term-Stored Buffy Coat Species for the Korean Multicenter Cancer Cohort (한국인 다기관 암 코호트 시료의 DNA 생활성도 평가)

  • Yang, Mi-Hi;Yoo, Ji-Hyun;Kim, Cheong-Sik;Shin, Ae-Sun;Kang, Dae-Hee;Chang, Soung-Hoon;Park, Sue-Kyung;Shin, Hai-Rim;Yoo, Keun-Young
    • Journal of Preventive Medicine and Public Health
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    • v.36 no.4
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    • pp.373-376
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    • 2003
  • Objectives : Peripheral blood-buffy coat fractions (N=14,956) have been stored at $-70^{\circ}C$ in the headquarter of the Korean Multicenter Cancer Cohort (KMCC), since 1993. To study the future molecular etiology of cancers using specimens of the cohort, properly stored specimens are necessary, Therefore, the DNA-viability of the bully coat samples was investigated. Methods : Buffy coat fraction samples were randomly selected from various collection areas and years (N=100). The DNA viability was evaluate from the UV-absorbent ratios at 260/280nm and the PCH for $\beta$-globin was performed with genomic DNA isolated from the buffy coat. Results : PCR products were obtained from 85 and 98% of the C and H area-samples, respectively, using 50 or $100{\mu}l$ of the buffy coat. There were significant differences in the yields of the PCR-amplifications from the C and H areas (p<0.05), which was due to differences in the homogenization of the buffy coat fractions available as aliquots. The PCR-products were obtained from all of the samples (N=7) stored at the C area-local confer, but the other aliquots stored at the headquarter were not PCR-amplified, Therefore, the PCR products in almost all the samples, even including the DNA-degraded samples, were obtained. In addition, an improvement in the DNA isolation, i,e. approx. 1.6 fold, was found after using extra RBC lysis buffer. Conclusions : PCR products for $\beta$-globin were obtained from nearly all of the samples. The regional differences in the PCR amplifications were thought to have originated from the different sample-preparation and homogenization performance. Therefore, the long term-stored buffy coat species at the KMCC can be used for future molecular studies.

Geology and Mineral Resources of the Ogcheon Zone: Mineralization in the Pyeongchang-Jucheon Area, Kangwon-Do, Korea (옥천대(沃川帶)의 지질(地質) 및 광물자원(鑛物資源)에 관(關)한 연구(硏究) -평창(平昌)~주천지역(酒泉地域)에 있어서의 광화작용(鑛化作用)-)

  • Yun, Suckew;So, Chil Sop;Kim, Kyu Han
    • Economic and Environmental Geology
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    • v.19 no.1
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    • pp.1-18
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    • 1986
  • A group of 16 $Zn+Pb{\pm}Ag$ deposits distributed in the Pyeongchang-Jucheon area, Kangwon-do, South Korea, were semi-regionally investigated. These deposits are contact metasomatic and/or hydrothermal replacement types hosted in the carbonate-dominated Cambrian Machari Formation and Ordovician Ibtanri Formation, and also in the carbonate interbeds of the Precambrian argillic metasediments. Comparing some key aspects of the individual deposits, it is found that the ore deposits hosted in the Machari and Ibtanri Formations are mostly of steeply-dipping chimneys with or without skarn minerals and are rich in Ag and Pb>Zn in metal grade whereas those occuring in the carbonate interbeds of the Precambrian argillic metasediments are gently-dipping conformable lenticular orebodies mostly with skarn minerals and are generally poor in Ag and Zn>Pb. The skarn mineralization in the area appears to have occurred during the lower Cretaceous (118.7Ma) to mid-Cretaceous (107.8Ma) time assumed from the K-Ar dates of the Dowon and Pyeongchang granites which are closely associated with the skarn ore deposits. The Rb/Ba/Sr ratios of these granites indicate that they are of strongly differentiated anomalous granites, and the Nb vs. Y and Rb vs. Y+Nb plots fall on the field of volcanic arc setting. The contact aureoles are zoned, giving the sequence in order of increasing distance from igneous contact: garnet-wollastonite, granet-wollastonite-clinopyroxene and garnet-clinopyroxene in such as the Pyeongchang and Yeonwol 114 areas. Electron microprobe analyses reveal that garnets and clinopyroxenes are generally low in Fe and Mn. Garnets are grossular to intermediate grandite except for those from the Ogryong exoskarn which are richer in andradite, pyrope and spessartine fractions. This indicates that the oxidation state of skarn-forming environment at Ogryong was higher than at the other deposits. Clinopyroxenes are mostly salitic except for those from the Ogryong exoskarn which involve considerable amounts of hedenbergite and johansenite fractions. The ${\delta}^{18}O$ value of Jurassic biotite granite at Ogryong is higher (+10.21‰) than that of Cretaceous one at Chodun (+8.41‰). The ${\delta}^{13}C$ values of carbonate rocks range from -0.89‰ to 0.68‰ and the ${\delta}^{18}O$ values range from +11.91‰ to + 19.34‰ indicating that these carbonate rocks are of marine origin. However, the ${\delta}^{13}C$ values of skarn calcite and vein calcite are -4.80‰ and -12.92‰, and the ${\delta}^{18}O$ values are +5.56‰ and +10.32‰, respectively, indicating that these calcites are of hydrothermal origin. The ${\delta}^{34}S$ values of sulfide minerals range from +4.4‰ to +8.7‰ suggesting that the sulfurs are of magmatic origin.

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Studies on the Lipase Activity and Lipid Components of the Molded Sardine Meal 'Koji' (정어리를 기질로 제조한 Koji의 Lipase활성과 지질성분)

  • KIM Dong-Soo;KOIZUMI Chiaki
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.27 no.5
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    • pp.476-481
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    • 1994
  • The lipase activity of crude enzyme extracted from the molded sardine meal(MSM) 'koji', and lipid classes and fatty acid composition of neutral lipid(NL) and phospholipid (PL) of MSM 'koji' were investigated. The optimum pH and temperature of the crude enzyme was 8.0 and $40^{\circ}C$ using olive oil emulsion as a substrate, but the residual activity depended on pH and temperature. Total lipid contents of the MSM 'koji' consisted of 15.33g/100g NL, 5.45g/100g PL respectively. The major lipid classes of NL were triglyceride ($53.4\%$) and free fatty acid($28.1\%$), that of PL were phosphatidylethanol($32.7\%$), phosphatidylinositol($25.5\%$), phosphatidylcholine($25.1\%$), lyso-phosphatidylcholine($7.3\%$) and sphingomyeline($3.5\%$). The prominent fatty acid fractions of NL were 16:0, 22:6, 18:1 n-9, 18:2n-6 and 20:5, with PL fractions the major fatty acid ratios were 22:6, 16:0, 18:1n-9, 18:2n-6 and 20:5, in the same respective order.

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