• 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.

• Composites Research
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• v.34 no.2
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• pp.129-135
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• 2021

In this paper, in order to examine the effect of fiber volume fraction non-uniformity in thickness direction on the buckling load of cylindrical composite lattice structures, we modified the equation of buckling load of the cylindrical composite lattice structures proposed by Vasiliev. The thickness of each layer of the rib was varied by fiber volume fraction, and material properties were applied differently by using the rule of mixture. Also, we performed linear buckling analysis by varying the structure size, thickness, and average value of the fiber volume fraction of finite element model. Finally, by comparing the calculation results of the buckling load of the equivalent model using the modified buckling load equation and the results of the finite element analysis, we found that the fiber volume fraction non-uniformity in thickness direction can reduce the buckling load of the cylindrical composite lattice structure.

• Transactions of the Korean Society of Automotive Engineers
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• v.14 no.6
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• pp.50-56
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• 2006

Residual gas fraction in a combustion process is very crucial to improve combustion and cyclic variations. Especially, the residual gas fraction is strongly affected by backflow of the residual gas during the valve overlap period in an idle operation. Therefore, it is one of the most interesting that valve timings can affect flow characteristics of gas exchange process, especially during idle operation. This analysis investigates residual gas fraction with respect to valve timing changes which is critical for combustion efficiency and engine performance. Flow characteristics of residual gas by changing intake and exhaust valve timing are calculated by CFD methodology during an idle operation in an SI engine. It is analyzed that retarded EVO and advanced IVO results in the increase of valve overlap period and consequently, residual gas fraction. Futhermore, changes in IVO have stronger effects on variation of residual gas fraction.

• Nuclear Engineering and Technology
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• v.24 no.2
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• pp.168-177
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• 1992

The importance of the study of two phase flow phenomena has increased for both fuel performance and safety analysis of nuclear power plants. In the analysis of two phase flow system, an accurate prediction of local void fractions is very important. In this study, a vertical rectangular subchannel having 4 electrically heated rods is constructed for the measurement of local void fraction under two phase flow. The measurement has been conducted by electrical conductivity probes and signal processing circuit which are known to be adequate to measuring local void fraction. Also experiments are performed with varying the inlet flow rate to search for radial void fraction profile accordingly to the different flow rate even with the same averaged void fraction. From the result of experiments, the validity of electrical conductivity probe and electrical circuit is confirmed.

• Korean Journal of Pharmacognosy
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• v.45 no.2
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• pp.141-146
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• 2014

In this study, we investigated on antioxidative activities and tyrosinase inhibitory activities of methanol extract and its fractions from roots of Arctium lappa. The total phenolic compound and flavonoid content of the ethylacetate fraction was found to be 818.29 mg/g and 360.59 mg/g as the highest content. In the measurement of DPPH radical scavenging ability and tyrosinase inhibitory activity, the ethylacetate fraction was higher than the other fractions and the extract. In addition, comparative analysis of phenolic compounds by liquid chromatography-mass spectrometry (MS)/MS system under the multiple-reaction monitoring (MRM) with negative-ion electrospray ionization mode. The main phenolic compounds in the extract and fractions of roots from Arctium lappa were cynarin and chlorogenic acid. The main phenolic compound of the ethylacetate fraction was cynarin. n-Butanol fraction had a significantly higher chlorogenic acid content than other samples. In conclusion, DPPH radical scavenging ability and tyrosinase inhibitory activity of the cynarin-riched ethylacetate fraction showed the highest activity.

• The Journal of Pediatrics of Korean Medicine
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• v.22 no.1
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• pp.113-121
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• 2008

Objectives In human myeloid leukemia cells, there are no specific features of apoptosis compared with apoptosis in other cell types. Solanum nigrum L.(SNL) is a deciduous tree, which is widely distributed in Korea with reported anti-tumor, anti-inflammatory and non-specific immune-enhancing properties. Although the plant has been clinically used for treating a variety of diseases, its bioactive ingredients are unknown and its mode of action potential has never been investigated. Thus anti-tumor property of methanol extract was investigated. Methods In this study, anti-tumor property of methanol extract was investigated by determining its in vitro growth-inhibitory effects on human myeloid leukemia cells. XTT proliferation assay, DNA fragmentation, immunoblot analysis, densitometric analysis were used. Results 1. The methanol fraction of the extracts of SNL induced mitochondria-mediated apoptosis in human myeloid leukemia cells. 2. The methanol fraction exhibited relatively higher cytotoxic activity in a dose-dependent manner than chloroform, and hexane fraction. 3. Typical ladder profile of Oligonucleosomal fragments were appeared. 4. The secreted cytosolic cytochrome C level was increased by treatment of methanol fraction. Conclusions Methanol fraction of SNL is capable of inducing apoptosis in human myeloid leukemia cells.

• Transactions of the Korean Society of Mechanical Engineers A
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• v.20 no.9
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• pp.2782-2791
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• 1996

The effective longitudinal shear modulus(LSM) of continuous composites is studied theoretically and numerically using 3-phase unit cell model. Circular, hexagonal and rectangular shapes of reinforced fiber are considered to predict the shear modulus as a function of elastic modulus of each phase and volume fraction of interphase and reinforced fiber. It is found that rectangular fiber shape in low fiber volume fraction($v_f$<30%) and circular fiber shape in high volume fraction($v_f$>40%) shows the higher longitudinal shear modulus. Also the obtained values of LSM for rectangular array and by numerical analysis are higher than those of hexagonal array and by theoretical analysis respectively. The reinforcing effects of interphase are more significant in cases of higher fiber volume fraction and circular fiber shape. Not only the spatial distribution and shape of reinforcing fiber but also the volume of interphase have a pronounced effects on the overall LSM. It is also found that the tangent moduous of 2-and 3-phase polymer matrix composites is insensitive to the shape and distribution of reinforcing fibers.

• School Mathematics
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• v.11 no.1
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• pp.71-91
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• 2009

The purpose of this study was to analyze operation sense in detail with regard to division of fraction. For this purpose, two sixth grade students who were good at calculation were clinically interviewed three times. The analysis was focused on (a) how the students would understand the multiple meanings and models of division of fraction, (b) how they would recognize the meaning of algorithm related to division of fraction, and (c) how they would employ the meanings and properties of operation in order to translate them into different modes of representation as well as to develop their own strategies. This paper includes several episodes which reveal students' qualitative difference in terms of various dimensions of operation sense. The need to develop operation sense is suggested specifically for upper grades of elementary school.

• Journal of the Korean Society of Visualization
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• v.18 no.1
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• pp.11-17
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• 2020

The reduction of CO2 emissions has been a key target in the marine industry since the IMO's MEPC published its findings in 2009. Air lubrication method is one of the mature technologies for commercialization to reduce the frictional resistance and enhance fuel efficiency of ships. Since the air lubrication pattern varies according to the ship's standing position and injection flow rate, in order to effectively control the air lubrication system, it is necessary to be able to judge the air layer development state based on the information collected from the monitoring sensor. In this study, we performed the air lubrication ship simulation experiment to measure the void fraction and the frictional resistance. The void fraction was measured to confirm the behavior of the air. Through the measurement of the frictional resistance, the change in frictional resistance reduction rate from the injection point to the longitudinal direction of the ship was confirmed. Based on the measurement results, correlation analysis was performed on void fraction and frictional resistance reduction rate.

• Journal of Ginseng Research
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• v.17 no.2
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• pp.101-108
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• 1993

This study was made to understand a hypoglycemic action of the fat soluble fraction of Panax ginseng C.A. Meyer in streptozotocin induced diabetic rats by determining the activities of several enzymes related to carbohydrate and lipid metabolism as well as several blood component levels such as glucose and ketone bodies, and non-esterified fatty acids. Albino rats (Sprague Dawley, 170-200g, 3) were injected once with 70mg streptozotocinhg body weight intraperitoneally and fed with ordinary diet for 7 days, and then the fat soluble fraction (5 mg~20 mg/day/rat) was injected intraperitoneally once a day for three days to rats having high blood glucose level over 340 mg/100ml. After a final injection of the fat soluble fraction, rats u.ere starved for 16 hours followed by the analysis of blood serum and liver enzymes. It was found that increased levels of glucose, ketone bodies and free fatty acids in streptozotocin induced rats were decreased appreciably by administration of the fat soluble fraction. However, the amount of administered fat soluble fraction did not show any significantly different hypoglycemic action. Decreased activities of glucokinase, phosphofructokinase, pyruvate kinase, 6-phosphogluconate dehydrogenase and acetyl CoA carboxylase of the liver of streptozotocin induced diabetic rats were greatly modified suggesting that a hypoglycemic action of the fat soluble fraction was also appreciable as ginseng saponin fraction. We also compared a hypoglycemic action of the fat soluble fraction prepared from American ginseng and Chinese ginseng with that of Korean pain ginseng. 핀o significant difference of the hypoglycemic activity was observed between the above ginseng fat soluble fractions, suggesting that a study of the fat soluble fraction might be one of the most interesting subjects relating to diabetic hyperglycemia in the near future.