• 제목/요약/키워드: Fractions as ratios

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분수의 다양한 의미에서 단위에 대한 초등학교 6학년 학생들의 이해 실태 조사 (Sixth Grade Students' Understanding on Unit as a Foundation of Multiple Interpretations of Fractions)

  • 이지영;방정숙
    • 대한수학교육학회지:수학교육학연구
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    • 제24권1호
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    • pp.83-102
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    • 2014
  • 본 연구에서는 분수 학습을 마친 초등학교 6학년 학생 150명을 대상으로 분수의 5가지 의미에 관한 20개의 문항을 제시하였고, 학생들의 반응을 단위의 이해에 초점을 두어 분석하였다. 연구 결과, 전체-부분으로서의 분수에 익숙한 학생들은 분수의 다른 의미에서도 주어진 전체를 단위로 인식하는 오류를 많이 보였다. 또한, 각 의미별로 단위와 관련된 다양한 반응들이 나타났다. 이러한 연구 결과를 바탕으로 각각의 분수의 의미를 지도할 때 단위와 관련된 강조사항을 확인하여 시사점을 제공하고자 한다.

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Studies on the antitumor activity of duchesnea indicae herba

  • Lee, In-Rhan;Kim, Young-Hee
    • Archives of Pharmacal Research
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    • 제9권1호
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    • pp.1-4
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    • 1986
  • As a part of finding the biologically active components from Duchesnea indica (Andr.) Focke (Rosaceae), antitumor activities of its water soluble fractions have been studied. The fractions were examined for antitumor activity against sarcoma 180 implanted in mice. The anitumor inhibition ratios of the water soluble fractions from Duchesnea indica were 17.9, 37.1, 62.1, 62.4%, repectively.

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입주 전 신축 건물의 사무실내 방향족 탄화수소의 농도 특성 (Characteristics of Aromatic Hydrocarbons Measured in an As-built Building)

  • 나광삼;배귀남;김용표
    • 한국대기환경학회지
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    • 제16권5호
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    • pp.545-552
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    • 2000
  • Eight aromatic hydrocarbons were quantified in a newly constructed building before occupancy during the period of November 1997 to January 1998. Air samples were collected in 6 L stainless steel canisters for 8 hours based on working hour. It was found that the measured total concentration of aromatic hydrocarbons decreases rapidly with time up to a steady-state value. However, the fractions for each aromatic hydrocarbon were greatly changed with time. The concentration ratios of indoor to outdoor for aromatic hydrocarbons are greater than 1 during early period of the measurement, and the ratios decrease with time. The concentrations of toluene, m+p-xylene, ethylbenzene, and o-xylene are much higher than those of styrene, 1, 2, 4-trimethylbenzene, and 1, 3, 5-f trimethylbenzene in indoor air. The concentration fractions of m+p-xylene, ethylbenzed, and o-xylene in indoor air are about twice as hight as those in outdoor air measured during the similar period. It was concluded that the aromatic hydrocarbons were emitted from building materials, paints, and adhesives in an-built building.

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Relationship between the Methane Production and the CNCPS Carbohydrate Fractions of Rations with Various Concentrate/roughage Ratios Evaluated Using In vitro Incubation Technique

  • Dong, Ruilan;Zhao, Guangyong
    • Asian-Australasian Journal of Animal Sciences
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    • 제26권12호
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    • pp.1708-1716
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    • 2013
  • The objective of the trial was to study the relationship between the methane ($CH_4$) production and the Cornell Net Carbohydrate and Protein System (CNCPS) carbohydrate fractions of feeds for cattle and the suitability of CNCPS carbohydrate fractions as the dietary variables in modeling the $CH_4$ production in rumen fermentation. Forty-five rations for cattle with the concentrate/roughage ratios of 10:90, 20:80, 30:70, 40:60, and 50:50 were formulated as feed samples. The Menke and Steingass's gas test was used for the measurement of $CH_4$ production. The feed samples were incubated for 48 h and the $CH_4$ production was analyzed using gas chromatography. Statistical analysis indicated that the $CH_4$ production (mL) was closely correlated with the CNCPS carbohydrate fractions (g), i.e. CA (sugars); $CB_1$ (starch and pectin); $CB_2$ (available cell wall) in a multiple linear pattern: $CH_4=(89.16{\pm}14.93)$ $CA+(124.10{\pm}13.90)$ $CB_1+(30.58{\pm}11.72)$ $CB_2+(3.28{\pm}7.19)$, $R^2=0.81$, p<0.0001, n = 45. Validation of the model using 10 rations indicated that the $CH_4$ production of the rations for cattle could accurately be predicted based on the CNCPS carbohydrate fractions. The trial indicated that the CNCPS carbohydrate fractions CA, $CB_1$ and $CB_2$ were suitable dietary variables for predicting the $CH_4$ production in rumen fermentation in vitro.

Influence of AVS on the Partitioning of Bioavailable Zn to Various Binding Phases in Sediments

  • Song, Ki-Hoon;Vincent T. Breslin
    • Journal of the korean society of oceanography
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    • 제39권4호
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    • pp.243-250
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    • 2004
  • Sediment microcosm experiments were conducted for 14 and 28 days using Zn spiked sediment to examine the changing distribution of bioavailab1e sediment-bound Zn at different SEM (simultaneously extracted metal)-Zn/ AVS (acid volatile sulfide) mole ratios as a function of time and amphipod density. In surficial sediments (0-1cm), AVS concentrations significantly decreased due to bioturbation and oxidation, while SEM-Zn concentrations remained unchanged. As a result, SEM-Zn/AVS ratios in the surface sediment were greater one although the ratios were designed as less than one initially. With increasing SEM-Zn/AVS ratios in surficial sediments, concentrations of potentially bioavailable $MgCl_2$extractable-Zn, NaOAc extractable-Zn and pore water-Zn significantly increased, while concentrations of SEM-Zn were not significantly varied. Results suggested that as AVS concentrations decreased, AVS bound Zn was partitioned to other sediment fractions (i.e. $MgCl_2$ and NaOAc extractable) and the pore water, resulting in changes in Zn bioavailability in surficial sediments. Concentrations of AVS, SEM-Zn and pore water-Zn remained unchanged in the deeper layers (>1 cm) of the sediment.

입도분포에 따른 하상퇴적물의 지구화학적 분산 및 부화 (Geochemical Dispersion and Enrichment of Fluvial Sediments Depending on the Particla Size Distribution)

  • 이현구
    • 자원환경지질
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    • 제32권3호
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    • pp.247-260
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    • 1999
  • Geochermical characteristics of the fluvial sediments deprnding on particle size distribution size were investigated in the respect of majir, minor and rare eath element chemisitry. Ratios of $Al_{2}O_{3}/Na_{2}O$ and $K_{2}O/Na_{2}O$ of the sediments show the homogeneous valus, and partly positive correlation with $SiO_{2}/Al_{2}O_{3}$, respecively. Characteristics of minor element ratios (V/Ni, Cr/V, Ni/Co and Zr/Hf)are within the lower and narrow range. Thesesuggested that sediment sources may be acidic to intermediate granitic rock, and may be explained by simple weathering and sedimentation. With increasing SiO2 contents, concentrations of $Al_{2}O_{3}$, $Fe_{2}O_{3}$, CaO and MgO decreased, but those of $K_{2}O$ and $Na_{2}O$ increased, Concentrations of Ba, Be, Cs, Cu, Li, Ni, Sr, V and Zr show comparatively normal negative and some positive trends. Compared with the mean composition of granite, concentrations of $Al_{2}O_{3}$, $Fe_{2}O_{3}$, MnO, CaO and MgO in the sediments of the study area were highly enriced. Among some minor and rare earth elements, concentrations of As, Cd, Cu, and V were enriched, but those of Be, Ce, Rb, Sc, Sr and Zn were depleted when compared with average composition of granite. By decreasing of particle size fractions, SiO2, Rb and Sr conterts decreased, but concentrations of $Al_{2}O_{3}$, $Fe_{2}O_{3}$, CaO, MgO, $TiO_{2}$, MgO, $P_{2}O_{5}$, Be, Cu, Hf, Pb, V and Zr increased. From the correlations between particle size fractions and element concenreations, some elements of $Fe_{2}O_{3}$, CaO, MgO, $P_{2}O_{5}$, Cu, Ni, Zn and Zr showed typical trends in the secondary contramination sediments. These trends are typically shown under 100 mesh fractions. It indicates that the fraction of minus 100 mesh is the optimum size fraction for geochemical and environmental survey.

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PM2.5, PM10, TSP의 시간대별 관측결과에 기초한 황사기간 중 분진의 분포특성에 대한 고찰: 서울시의 4대 관측점을 중심으로 한 2001년 봄철 황사 기간에 대한 사례연구 (Insights into the Factors Determining the Aerosol Distribution Characteristics of the Asian Dust on the Basis of the Concurrent Analysis of PM2.5, PM10, and TSP During the Spring Season of 2001)

  • 김기현;김민영;신재영;최규훈;강창희
    • 한국대기환경학회지
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    • 제18권5호
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    • pp.419-426
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    • 2002
  • The concentrations of three different fractions of particulate matters including PM2.5, PM10, and TSP were compared between the Asian Dust (AD) and non-AD (NAD) periods during the spring season of 2001. For the purpose of this comparative analysis, the data sets were obtained from four different observatory sites located within the city boundary of Seoul that concurrently measure those three fractions of PM at hourly intervals. According to our study, several conclusions can be drawn to describe relationships between the AD event and PM distribution characteristics. First of all, it is apparent that the concentrations of PM are distinctively distinguished between AD and NAD. If the extent of contribution to the AD events are assessed on the quantitative basis, it appears that their magnitude increases on the order of PM2.5, PM10, and TSP. As a result, the increase of PM observed during AD event is dominated by the coarse rather than fine fraction of PM. Moreover, when their relationships were assessed in terms of fractional ratios, it was found that TSP/PM10 ratios were almost constant, regardless of the occurrences of AD. On the other hand, the coarse/fine or TSP/PM2.5 ratios changed dramatically between AD and NAD periods. The results of our analysis cleary distinguishes quantitative role of each PM fraction between AD and NAD period, while suggesting indirectly the possible control of source processes on such relationships.

식이 $\omega3$$\omega6$계 지방산 조성이 제 2세대 쥐의 RBC과 뇌조직 Synaptosome, Microsome 및 Mitochondria의 인지질 및 행동발달에 미치는 영향 (Effects of Dietary $\omega3$ and $\omega6$ Fatty Acids on the Fatty Acid Composition of RBC and Brain Synaptosomal, Microsomal and mitochondrial Phospholipids and on Behavioral Development of Rats)

  • 엄영숙
    • Journal of Nutrition and Health
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    • 제29권8호
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    • pp.849-860
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    • 1996
  • The supply of different fatty acids during the development period has significant effects. This study examined the effects of dietary $\omega$3 and $\omega$6 fatty acid compositions on phospholipids (PLs) of RBC and rat brain subcellular fractions (synaptosome, microsome, mitochondria), and on learning ability of the 2nd generation rat. Rats were fed experimental diets 3-4 wks prior to the conception. Early in the lactation period, the feeding mothers were exchanged. Diets consisted of 10% fat(by weight), which was either safflower oil('S') poor in $\omega$3 fatty acids or computer-searched mixed oil('M') with P/M/S ratio, 1/1.4/1 and $\omega$6/$\omega$3 ratio, 6.1/1. The 'S' and 'M' rats were subdivided further into SS, SM, MS & MM rats according to their lactation stauts. At 3 (weaning) & 9 wks of age, the percentage of total $\omega$3 fatty acids to their lactation status. At 3 (weaning) & 9 wks of age, the percentage of total $\omega$3 fatty acids and the ratios of $\omega$3/$\omega$6 fatty acids in PLs of RBC and brain subcellular fractions in SM and MM groups fed milk from the mixed oil-fed mothers for 2 wks tended to be higher than those in SS and MS groups respectively. In contrast, the concentrations of $\omega$6 fatty acids, especially 22:5$\omega$6 in all fractions, were significantly lower in the SM & MM groups compared to those of the SS & MS groups respectively. In contrast, the concentration of $\omega$6 fatty acids, especially 22:5$\omega$6 in all fractions, were significantly lower in the SM & MM groups compared to those of the SS & MS groups, The values for the DHA$\omega$3/22:5$\omega$6 ratios after the lactation period were markedly higher in the groups (SM & MM) which were reared by mixed oil(MO) fed mothers. In carring out Y-water maze at 9th wk of age, the SM(4.2$\pm$0.5) & MM (5.3$\pm$0.5) groups made significantly less errors compared to the SS(6.2$\pm$0.6, p<0.05 compared with SM) & MM (7.2$\pm$0.5, p<0.05 compared with MM) groups which were lactated by the safflower oilfed mothers. Therefore, by feeding a balanced fatty acid diet from the lactation period up to 9 wks of age as compared with the groups fed $\omega$3 fatty acid-deficient diet regardless of mother's diet given before parturition. The levels of DHA(synaptosome) and 22:5$\omega$3 (mitochondria) were positively correlated not only with these values in RBC but also with visual discriminating ability. The levels of DHA and 22:5$\omega$3 in RBC can, therfore, reflect visual discriminatng ability in the rat.

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Thermoelastic eigenfrequency of pre-twisted FG-sandwich straight/curved blades with rotational effect

  • Souvik S. Rathore;Vishesh R. Kar;Sanjay
    • Structural Engineering and Mechanics
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    • 제86권4호
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    • pp.519-533
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    • 2023
  • This work focuses on the dynamic analysis of thermal barrier coated straight and curved turbine blades modelled as functionally graded sandwich panel under thermal environment. The pre- twisted straight/curved blade model is considered to be fixed to the hub and, the complete assembly of the hub and blade are assumed to be rotating. The functionally graded sandwich composite blade is comprised of functionally graded face-sheet material and metal alloy core. The constituents' material properties are assumed to be temperature-dependent, however, the overall properties are evaluated using Voigt's micromechanical scheme in conjunction with the modified power-law functions. The blade model kinematics is based on the equivalent single-layer shear deformation theory. The equations of motion are derived using the extended Hamilton's principle by including the effect of centrifugal forces, and further solved via 2D- isoparametric finite element approximations. The mesh refinement and validation tests are performed to illustrate the stability and accurateness of the present model. In addition, frequency characteristics of the pre-twisted rotating sandwich blades are computed under thermal environment at various sets of parametric conditions such as twist angles, thickness ratios, aspect ratios, layer thickness ratios, volume fractions, rotational velocity and blade curvatures which can be further useful for designing the blade type structures under turbine operating conditions.

Variations in Accumulation of Terrigenous and Biogenic Materials in the Northwest Pacific Ocean since the Last Interglacial Period

  • Hyun, Sang-Min;Taira, Asahiko;Ahagon, Naokazu;Han, Sang-Joon
    • Journal of the korean society of oceanography
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    • 제33권3호
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    • pp.80-89
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    • 1998
  • Three cores were taken from the northwest Pacific Ocean (Shikoku Basin) to determine the accumulation rates of both biogenic and terrigeneous fractions since the last penultimate interglacial period. The sediment is characterized by large amounts of terrigenous materials with low biogenic fractions and intermittent volcanic-ash layers, suggesting a hemipelagic origin. Composition of major elements shows no significant differences among sites. Relatively small variation of TiO$_2$/Al$_2$O$_3$ ratios with respect to SiO$_2$ content is the strong evidence for the common origin of terrigenous materials. The fraction of biogenic carbonates varies from near 0% in ash layers to about 35%, with a gradual increase toward the south (St. 4 through St. 6 to St. 20). However, carbonate contents show step-wise increasing tendency from St. 4 through St. 6 to St. 20, which suggests a southward increase of carbonate production. The color reflectance indicates that the sediment of the southern sites contains relatively higher amounts of biogenic carbonates. The mass accumulation rate of terrigenous fractions during the glacial period was 2-3 times higher than that of interglacial period. This enhanced mass accumulation rate of terrigenous materials was concomitant with the high accumulation rate of biogenic fractions. The total sediment accumulation rate is considered as the most important factor controlling mass accumulation rates of the biogenic and terrigenous materials. The enhanced sediment accumulation during the glacial periods is interpreted as a consequence of climate-induced change in the supply of eolian dust from the Asian continent. Enhanced wind strength during the glacial time may have increased transportation of terrigenous materials to the ocean. Thus, variation of sediment accumulation is highly linked with climatic variations.

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