• Title/Summary/Keyword: reverse fraction

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An analysis of solution methods by fifth grade students about 'reverse fraction problems' ('역 분수 문제'에 대한 5학년 학생들의 해결 방법 분석)

  • Pang, JeongSuk;Cho, SeonMi
    • The Mathematical Education
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    • v.58 no.1
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    • pp.1-20
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    • 2019
  • As the importance of algebraic thinking in elementary school has been emphasized, the links between fraction knowledge and algebraic thinking have been highlighted. In this study, we analyzed the solution methods and characteristics of thinking by fifth graders who have not yet learned fraction division when they solved 'reverse fraction problems' (Pearn & Stephens, 2018). In doing so, the contexts of problems were extended from the prior study to include the following cases: (a) the partial quantity with a natural number is discrete or continuous; (b) the partial quantity is a natural number or a fraction; (c) the equivalent fraction of partial quantity is a proper fraction or an improper fraction; and (d) the diagram is presented or not. The analytic framework was elaborated to look closely at students' solution methods according to the different contexts of problems. The most prevalent method students used was a multiplicative method by which students divided the partial quantity by the numerator of the given fraction and then multiplied it by the denominator. Some students were able to use a multiplicative method regardless of the given problem contexts. The results of this study showed that students were able to understand equivalence, transform using equivalence, and use generalizable methods. This study is expected to highlight the close connection between fraction and algebraic thinking, and to suggest implications for developing algebraic thinking when to deal with fraction operations.

Effect of Alcohol Addition on Back-Extraction of BSA and Cytochrome c Using AOT Reverse Micellar System

  • Lee, Seong Sik;Lee, Bong Guk;Choe, Jin Seong;Lee, Jong Pal
    • Bulletin of the Korean Chemical Society
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    • v.22 no.8
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    • pp.897-902
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    • 2001
  • The protein back-extraction processes were discussed from the viewpoint of the micelle-micelle interaction. Bovine serum albumin (BSA) suppressing the cluster formation of reverse micelle (positive value of ${\beta}pr)$ has the high back-extra cted fraction (Eb), but cytochrome c enhancing the formation of reverse micelle (negative value of ${\beta}pr)$ has the low back-extracted fraction, relatively. We have also examined quantitatively the effects of alcohol addition and protein solubilization on the percolation process of reverse micelle. The alcohols suppressing the formation of micellar cluster (high values of ${\beta}t)$, remarkably improved the back-extraction rates of BSA and cytochrome c. The values of ${\beta}t$, defined by the variation of percolation process, and the back-extraction behavior of proteins have a good linear correlation. These results indicate that the micelle-micelle interaction or micellar clustering plays an important role in the back-extraction process of proteins.

Bacterial Reverse Mutation Test of Sipjeondaebo-tang (세균을 이용한 십전대보탕 복귀돌연변이 시험)

  • Ma, Jin-Yeul;Huang, Dae-Sun;Lee, Nam-Hun;Ha, Hye-Kyung;Yu, Young-Beob;Shin, Hyun-Kyoo
    • The Journal of Korean Medicine
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    • v.29 no.3
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    • pp.1-10
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    • 2008
  • Objectives: This study was to assess the toxicity of Sipjeondaebo-tang by bacterial reverse mutation test. Methods: In this study, to evaluate the bacterial reverse mutation of Sipjeondaebo-tang water-extract, the in vitro Ames test using Salmonella typhimurium (TA98, TA100, TA1,535, TA1,537) and Escherichia coli(WP2uvrA) were performed with Sipjeondaebo-tang water extract at the concentrations 0, 312, 625, 1250, 2500 and 5000 ${\mu}g/plate$. Results: Sipjeondaebo-tang water extract was negative in Ames test with both Salmonella typhimurium or Escherichia coli with and without rat liver microsomal enzyme (S9- fraction and S+ fraction). Conclusions: According to these results, we concluded that a Sipjeondaebo-tang water extract did not cause bacterial reverse mutation.

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Isolation of Angiotensin Converting Enzyme Inhibitor from Doenjang (전통된장으로부터 Angiotensin Converting Enzyme 저해물질의 분리)

  • Kim, Seung-Ho;Lee, Yun-Jin;Kwon, Dae-Young
    • Korean Journal of Food Science and Technology
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    • v.31 no.3
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    • pp.848-854
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    • 1999
  • Inhibitory compounds of angiotensin converting enzyme (ACE) were separated from Doenjang (traditional Korean fermented soybean paste). Water extracts from Doenjang which showed ACE inhibitory activity were separated with gel permeation chromatography (GPC), in which two fractions with high ACE inhibitory activities were obtained. The first fraction from GPC was further isolated by semi-preparative reverse phase preparative-HPLC (high performance liquid chromatography) and 2-dimensional electrophoresis/thin layer chromatography (TLC). The purified spot had molecular weight of 759 daltons and ninhydrin-positive non-peptide. The second fraction from GPC was also further isolated by semi-preparative reverse phase HPLC and $NH_2-column$ HPLC. One fraction with high ACE inhibitory activity was purified and characterized. Molecular weight of this fraction by LC-MS was 272.34 daltons. The active fraction was identified as Arg-Pro with ACE $IC_{50}$ of $92\;{\mu}M$.

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RCC frames with ferrocement and fiber reinforced concrete infill panels under reverse cyclic loading

  • Ganesan, N.;Indira, P.V.;Irshad, P.
    • Advances in concrete construction
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    • v.5 no.3
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    • pp.257-270
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    • 2017
  • An experimental investigation was carried out to study the strength and behavior of reinforced cement concrete (RCC) frames with ferrocement and fiber reinforced concrete infill panel. Seven numbers of $1/4^{th}$ scaled down model of one bay-three storey frames were tested under reverse cyclic loading. Ferrocement infilled frames and fiber reinforced concrete infilled frames with varying volume fraction of reinforcement in infill panels viz; 0.20%, 0.30%, and 0.40% were tested and compared with the bare frame. The experimental results indicate that the strength, stiffness and energy dissipation capacity of infilled frames were considerably improved when compared with the bare frame. In the case of infilled frames with equal volume fraction of reinforcement in infill panels, the strength and stiffness of frames with fiber reinforced concrete infill panels were slightly higher than those with ferrocement infill panels. Increase in volume fraction of reinforcement in the infill panels exhibited only marginal improvement in the strength and behavior of the infilled frames.

Effect of Reversed Austenite on the Damping Capacity of Austenitic Stainless Steel (오스테나이트계 스테인리스강의 감쇠능에 미치는 역변태 오스테나이트의 영향)

  • Kim, Young-Hwa;Sung, Ji-Hyun;Kang, Chang-Yong
    • Journal of Power System Engineering
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    • v.19 no.1
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    • pp.70-75
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    • 2015
  • The influence of reversed austenite on the damping capacity in austenitic stainless steel with two phase of martensite and reversed austenite was investigated. The two phases of deformation induced martensite and reversed austenite was obtained by an reverse annealing treatment at $500^{\circ}C{\sim}700^{\circ}C$ for various time after 70% cold rolling. With an increase of the reverse annealing treatment temperature and time, volume fraction of reversed austenite was rapidly increased. With an increase of volume fraction of reveresd austenite, damping capacity was rapidly increased. At same volume of reveresd austenite, damping capacity of reversed austenite obtained by reverse annealing treatment at $700^{\circ}C$ for various time was higher then reveresd austenite obtained by reverse annealing treatment at $500^{\circ}C{\sim}700^{\circ}C$ for 10min. Thus, the damping capacity was affected greatly by reversed austenite obtained by annealing treatment at $700^{\circ}C$ for various time.

Back-Extraction Processes of C.C.Lipase with Mediated AOT Reverse Micellar System

  • Lee, Sung-Sik;Kim, Bong-Gyu;Sung, Nak-Chang;Lee, Jong-Pal
    • Bulletin of the Korean Chemical Society
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    • v.25 no.6
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    • pp.873-877
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    • 2004
  • The relationship between the behaviors of c.c.lipase back-extraction and their percolation phenomena by using AOT reverse micellar systems (RVMS) has been studied by the addition of a small amount of additives to organic phase such as thiols and nonionic-surfactants focusing on micelle-micelle interactions. The values of ${\beta}_t$ defined by the variation of percolation processes and back-extraction behaviors of c.c.lipase have a good linear correlation. The hydrophobicity of additive molecules suppressing the cluster formation of reverse micelles (high values of ${\beta}_t$) improved the back-extraction behavior of c.c.lipase. The back-extraction fraction and its rate of c.c.clipase are increased with decreasing of the value of hydrophilic lipophilic balance (HLB) and increasing of the hydrophobicity per additive molecules added to reverse micellar systems (RVSM) in the same additives concentration.

Two p-Terphenyls from Mushroom Paxillus panuoides with Free Radical Scavenging Activity

  • Yun, Bong-Sik;Lee, In-Kyoung;Kim, Jong-Pyung;Yoo, Ick-Dong
    • Journal of Microbiology and Biotechnology
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    • v.10 no.2
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    • pp.233-237
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    • 2000
  • As part of a continuing investigation to identify free radical scavengers from the fruit bodies of basidiomycetes, we isolated two p-terphenyl compounds, designated as PAl and PA2l, from cethanolic extract of the fruit body of Pasillus panuoides. The methanolic extract was processed by ethyl acetate extraction and silica gel column chromatography to yield two active fraction. PAl was obtained from one of the fractions through Sephadex LH-20 and silica gel column chromatographies and reverse-phase HPLC. The other fraction was purified by Sephadex LH-20 and reverse-phase column chromatographies to produce PA2. The compounds PA1 and PA2 were identified as leucomentin-4 and leucomentin-2, respectively, on the basis of various spectroscopic analyses. These compounds exhibited strong inhibitory activities against lipid peroxidation in rat liver microsomes with IC_{50}$ values of 0.10 and $0.06{\;}\mu\textrm{g}ml$, respectively.

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Experimental Study of Check Valves in Pumping Systems with Air Entrainment

  • Lee, Thong-See;Low, Hong-Tong;Nguyen, Dinh-Tam;Rong, Wei;Neo, Avan
    • International Journal of Fluid Machinery and Systems
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    • v.1 no.1
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    • pp.140-147
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    • 2008
  • An experiment setup was introduced to study dynamic behaviour of different types of check valves and the effects of air entrainment on the check valve performance under pressure transient condition. The experiment results show that the check valves with low inertia, assisted by springs or small traveling distance/angle gave better performance under pressure transient condition than check valves without these features. Air entrainment was found to affect both wave speed and reverse velocity. With the increase of the initial air void fraction in pipeline, the experiment results show that the wave speed was reduced, the reverse velocity was increased. The first peak pressure increased initially and then decreased with the increase of the initial air void fraction, the pressure surge periods were increased proportionally with air void fraction due to the greatly reduced wave speed. The study can be applied to help choosing suitable check valves for a particular pumping system.

A Sperm Factor Inducing Second Polar Body Formation in Mouse Secondayy Oocyte

  • Park, Y.S;Min, S.H.
    • Korean Journal of Animal Reproduction
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    • v.26 no.4
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    • pp.369-375
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    • 2002
  • A sperm factor(s) for oocyte activation during fertilization has not been clearly identified. In this study to elucidate an oocyte activation factor(s), mouse sperm were sonicated and ultra-filtered with a 30 kilo-daltons (KD) cutoff membrane and the ultra-filtrate was then sequentially fractionated over Suporose 12 column and Superdex column, The recovered fractions were micro-injected into Mⅱmouse oocytes and second polar body formation (PBF) was examined. Suporose fraction RV2.10 prepared from sperm extract significantly increased PBF. Of Superdex fractions re-separated from Suporose fraction RV2.10, fraction RV2.12 also had the strongest PBF activity. By analyzing with micro-reverse phase column (URPC), the Superdex fraction RV2.12 appeared to be glutamic acid. In microinjection test, glutamic acid significantly increased PBF. This study suggests that glutamic acid should be a type of sperm factor for second polar body formation related to oocyte activation.