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Quotitive Division and Invert and Multiply Algorithm for Fraction Division (분수 포함제와 제수의 역수 곱하기 알고리즘의 연결성)

  • Yim, Jaehoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.521-539
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    • 2016
  • The structures of partitive and quotitive division of fractions are dealt with differently, and this led to using partitive division context for helping develop invert-multiply algorithm and quotitive division for common denominator algorithm. This approach is unlikely to provide children with an opportunity to develop an understanding of common structure involved in solving different types of division. In this study, I propose two approaches, measurement approach and isomorphism approach, to develop a unifying understanding of fraction division. From each of two approaches of solving quotitive division based on proportional reasoning, I discuss an idea of constructing a measure space, unit of which is a quantity of divisor, and another idea of constructing an isomorphic relationship between the measure spaces of dividend and divisor. These ideas support invert-multiply algorithm for quotitive as well as partitive division and bring proportional reasoning into the context of fraction division. I also discuss some curriculum issues regarding fraction division and proportion in order to promote the proposed unifying understanding of partitive and quotitive division of fractions.

Economic Phenomena, Economic Analysis, and Its Statistical Applicability: Focusing on the Developments of Econometrics and Challenging Issues (경제현상과 경제분석, 그리고 통계학적 응용성 - 계량경제학의 발전과 과제를 중심으로 -)

  • Kim, Chiho
    • The Korean Journal of Applied Statistics
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    • v.28 no.6
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    • pp.1075-1091
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    • 2015
  • This paper reviews the developments of econometric analysis and seeks a statistical applicability to current economic phenomena. During the last half century, economic analysis has progressed continuously, analyzing and predicting a broad variety of economic phenomena. In the center of this progress lies the remarkable contribution of econometrics and mathematical statistics. New economic research environment has been recently created via developments of IT and the spread of internet and SNSs. Economic phenomena has become increasingly complicated along with more volatile and sophisticated economic analysis. In that context, it can be suggested that there is a need to move beyond current economic paradigms and adapt new approaches such as complex theory and econophysics, all of which posits as a challenge for econometrics and statistics.

Study on the Spectroscopic Characteristics of Irradiated Diamonds (전자빔 처리된 다이아몬드의 분광학적 특성 연구)

  • Shon, Shoo-Hack;Kim, Bea-Seoub;Jang, Yun-Deuk;Kim, Jong-Rang;Kim, Jong-Gun;Kim, Jeong-Jin
    • Journal of the Mineralogical Society of Korea
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    • v.22 no.4
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    • pp.407-415
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    • 2009
  • The change of the nitrogen-related centers and the color change of electron beam irradiated type Ia natural diamonds were studied. The irradiation of diamond with high-energy electron beam creates lattice defects which are neutral single vacancy $V^0$. It increased with increasing electron dose density. The B aggregation seems to produce vacancies more easily than the A aggregation, because diamonds with more B aggregation have more platelets, which are sufficient breakable size by electron beam. Greenish blue color of irradiated diamond is changed to darker with increasing electron dose density. GR1 centers with a zero-phonon line at 741 nm and phonon sidebands make transmit visible light at 530 nm and it moves to 500 nm with higher intensity of GR1 centers.

Domestic Research Trends and Tasks on Early Algebra Education : Focused on the Elementary School Mathematics (국내 초기 대수 교육 연구의 동향과 과제 : 초등 수학을 중심으로)

  • Han, Chaereen;Kwon, Oh Nam
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.2
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    • pp.115-142
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    • 2018
  • This research analyzed domestic researches on early algebra education which are published in six major mathematics education journals in Korea. The purpose of this work is to grasp trends of early algebra education in Korea and to draw up future tasks. From 2000 to 2017, 89 papers which are related to early algebra education published in 6 journals. The 89 papers were categorized by research period, academic journals, research topics, and research subjects. As a result, the number of researches on early algebra education in Korea has increased since 2000. Although early algebra education belongs to the field of elementary mathematics education, lots of papers were published in other math education journals than in the math education journals for elementary school mathematics. Most research focused on proportional reasoning across the algebraic content area. The majority of the research subjects were students, especially upper-grade students of elementary school. Based on the results of this study, some implications for early algebra education in Korea were suggested.

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Synthesizable Interface Verification for Hardware/Software Co-verification (하드웨어/소프트웨어 동시검증을 위한 합성 가능한 인터페이스 검증 기법)

  • Lee, Jae-Ho;Han, Tai-Sook;Yun, Jeong-Han
    • Journal of KIISE:Software and Applications
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    • v.37 no.4
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    • pp.323-339
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    • 2010
  • The complexity of embedded systems and the effort to develop them has been rising in proportion with their importance. Also, the heterogeneity of the hardware and software parts in embedded systems makes it more challenging to develop. Errors caused by hardware/software interfaces, especially, account for up to 13 percent of failures with an increasing trend. Therefore, verifying the interface between hardware and software in embedded system is one of the most important research areas. However, current approaches such as co-simulation method and model checking have explicit limitations. In this paper, we propose the synthesizable interface co-verification framework for hardware/software co-design. Firstly, we introduce the separate interface specifications for the heterogeneous components to describe hardware design and software design. Our specifications are expressive enough to describe both. We also provide the transformation rules from the software specification to the hardware specification so that the whole system can be described from the software view. Secondly, we address the solution of verifying the interface of the software and hardware design by adopting and extending existing verification-techniques and extending them. In hardware interface verification, we exploit the model checking technique and provide more efficient verification by closing the hardware design from the assumption of the software behavior which is ensured by software verification step. Lastly, we generate the interface codes such as device APIs, device driver, and device controller from the specification so that verified hardware and software codes can be synthesized without extra efforts.

The Working Conditions for Care Workers and Care Quality in Long-Term Care Services (노인장기요양보험제도에서 요양보호사의 근로조건이 서비스 질에 미치는 효과에 관한 연구)

  • Kwon, Hyun Jung;Hong, Kyung Zoon
    • Korean Journal of Social Welfare
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    • v.69 no.1
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    • pp.33-57
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    • 2017
  • This study examines the effect of working conditions for care workers on the care quality in long-term care facilities, particularly the coexisting perspective on publicness and the marketization of Long-term care services in South Korea brings about. Prior studies have not identified a causal relationship between working conditions and the care quality, only explained cause of a low-wage labor market and low productivity of social services. Theoretical relevance of working conditions and service quality on Long-term care in Korea is to view from a integrated care model by Daly and Lewis(2002). A nonproportional stratified sampling procedure was used to consider Long-term care facility's ownership. A merged dataset combining surveys from 248 Long-Term Care facilities and online resources from NHIC administrative was used and analyzed by multiple regression. The analysis results is showed as follows. Overall, organizations with better working conditions, having higher wage, having greater a fringe benefit, being skills development and training are likely to have good care quality in each area. This research shows that the working conditions, rewards and support to care workers of organizational culture in the normative dimension beyond the minimum standard on labor market policy and evaluation system by government regulations have a positive impact on Long-term care quality.

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The Honam Region제s Evolutions in the 1990s: Convergence or Divergence\ulcorner (1990년대 호남지역경제의 전개과정: 지역경제의 수렴 또는 확산\ulcorner)

  • 정준호
    • Journal of the Economic Geographical Society of Korea
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    • v.4 no.2
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    • pp.57-77
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    • 2001
  • The Honam region has been recognized as one of the most lagging regions in Korea. Drawing upon some decompositions oi Gross Regional Domestic Product(GRDP) per head and labor productivity, the overall trend of inequalities in Korea has been revealed and the trajectory of the Honam region's economic change has been identified by examining how the region's economic performance changed relative to that of Korea in the 1990s. There are some findings. First of all, Korea is characterized by strong divergence in the development of its region economies, in terms o\ulcorner per capita GRDP, which relies upon productivity differentials rather than differences in employment rates. Second, the Honam region has displayed poor economic performances in terms of GRDP per head except for Jeonnam. Third, the dramatic fall in cumulative population growth relative to the national average has been an important factor in the Jeonnam's overwhelming economic performance measured by per capita GRDP. Fourth, the decline in the relative productivity of the Honam region is mostly explained by falling relative regional productivity growth in construction, transport and manufacturing, although it should be noted that the latter sector has made positive contribution to raising relative regional productivity of Jeonnam. Fifth, overall the shift in employment to service sector, especially to social, personal, public, health, education, other services other than distribution, hotels, catering has tended to support relative regional productivities, along with the positive contribution being made oi agriculture, forestry and fishing to relative regional productivity growth in the Honam region.

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Mechanism of Action of Fatty Alcohol Ethoxylate on Foliar Penetration of Dimethomorph into Cucumber (Fatty Alcohol Ethoxylate에 의해 유도되는 Dimethomorph의 오이 엽면 침투 기작)

  • Yu, Ju-Hyun
    • The Korean Journal of Pesticide Science
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    • v.12 no.2
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    • pp.127-133
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    • 2008
  • The foliar uptake of dimethomorph into cucumber was assessed by spray application of aqueous dimethomorph solution containing fatty alcohol ethoxylate (FAE) or fatty acid alkyl ester as activator adjuvants. Afterward, the possible mechanism of action of FAE on foliar penetration of active ingredient was suggested by speculating on the effect of lipophile and hydrophile of FAEs. The amount of absorbed dimethomorph induced by polyoxyethylene mono-9-octadecenyl ether (6 moles ethylene oxide, $C_{18=9}E_6$) was linearly related to the concentrations of surfactant as well as dimethomorph in spray solution, suggesting that it is simply a diffusion phenomenon of the solute molecule through a cuticular membrane from leaf surface. Octadecanol attached to FAE was most effective lipophile on the leaf penetration of dimethomorph. And, the more ethylene oxide had the polyoxyethylene chain of FAE up to 20 moles, the higher the uptake rate was. Therefore, the role of lipophile of FAE on dimethomorph penetration to cucumber leaf, probably, is to modify the physico-chemical properties of cuticular membrane to be permeable to dimethomorph, and the polyoxyethylene chain having less than 20 moles ethylene oxide, which is moderately permeable to cuticular membrane by its molar volume, is to let the physically-modified cuticular membrane to be maintained for a longtime.

A Study on the Formation Mechanism of Titanium Sponge in the Kroll Process (Kroll법에 의한 타이타늄 스폰지 생성기구에 관한 연구)

  • Jung, Jae-Young;Sohn, Ho-Sang
    • Resources Recycling
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    • v.26 no.5
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    • pp.54-60
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    • 2017
  • In this study, we investigated the effect of $TiCl_4$ injection time on the Kroll reaction at a given weight ratio of $TiCl_4$ and Mg. The reduction reaction was investigated by measuring the temperature change according to $TiCl_4$ injection time and observing the cross section and appearance of the Ti sponge after the reaction. The temperature increment due to Kroll reaction heat generation was found to be linearly proportional to the $TiCl_4$ feed rate. In the graph of $TiCl_4$ injection time and reduction tank temperature, initial temperature peaks were observed irrespective of the injection conditions. This is interpreted to mean a temporary interruption of reaction due to $MgCl_2$ formation after the initial Kroll reaction. In addition, when the cross section of the sponge was observed, a large amount of spherical Mg particles was observed in $MgCl_2$. We can infer that this is the process of continuously feeding the unreacted Mg surface, so that a continuous Kroll reaction takes place. The sponge appearance showed that the coalescence or growth of the Kroll reacted Ti particles can be controlled by the cooling rate.

Clinical Study of the Correlation of Tumor Necrosis Factor Alpha and the Proteinuria of Henoch-Schönlein Nephritis and Idiopathic Nephrotic Syndrome (Henoch-Schönlein Purpura 신염과 특발성 신증후군에서 Tumor Necrosis Factor Alpha와 단백뇨와의 관련성에 관한 임상적 연구)

  • Jeong, Dong-Ho;Park, Jeong-Hyun;Jeong, Hye-Cheon;Koo, Hyun-Hoe;Lee, Jun-Ho;Ha, Tae-Sun
    • Clinical and Experimental Pediatrics
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    • v.45 no.2
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    • pp.240-246
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    • 2002
  • Purpose : It is not clear that the development of glomerular injury and aggravation by tumor necrosis factor alpha($TNF-{\alpha}$) is related to intrarenal or serum concentration of $TNF-{\alpha}$. So, we studied the relationship between the concentration of $TNF-{\alpha}$ and aggravation of glomerular damage in the Henoch-$Sch{\ddot{o}}nlein$ nephritis(HSN) and idiopathic nephrotic syndrome(INS). Methods : We collected the sera and urines of 21 patients with Henoch-$Sch{\ddot{o}}nlein$ purpura(HSP) and 22 patients with INS visited Chungbuk National University hospital from March 1998 to March 2001. The concentration of $TNF-{\alpha}$ in the sera and urines were measured by sandwich ELISA. Results : Serum $TNF-{\alpha}$ levels in the HSP patients with renal involvement were significantly higher than those without renal involvement(P=0.009). But urine $TNF-{\alpha}$ levels have no correlation with renal involvement(P=0.088). In the HSN patients, proteinuria have a significant correlation with serum $TNF-{\alpha}$ levels(P=0.004) but less correlation with urine $TNF-{\alpha}$ levels(P=0.053). Otherwise, proteinuria have no correlation with serum $TNF-{\alpha}$ levels(P=0.763) but have a significant correlation with urine $TNF-{\alpha}$ levels(P=0.007) in INS. Conclusion : These result suggest that the serum concentration of $TNF-{\alpha}$ would be important to glomerular involvement in HSP. And, it is interesting that proteinuria shows a significant relation with serum $TNF-{\alpha}$ levels in the HSN, but with urine $TNF-{\alpha}$ levels in the INS. This means the major production of $TNF-{\alpha}$ may be originated by extrarenal inflammation in the HSN and by intrarenal tubulo-interstitial damage due to proteinuria in the INS.