• 제목/요약/키워드: first principle calculation

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초.중.고등학교 확률과 통계 단원에 나타난 표본개념에 대한 분석 (Features of sample concepts in the probability and statistics chapters of Korean mathematics textbooks of grades 1-12)

  • 이영하;신수영
    • 대한수학교육학회지:수학교육학연구
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    • 제21권4호
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    • pp.327-344
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    • 2011
  • 본 연구는 고등학교 수학교과에서 배우는 모평균의 신뢰구간 구하기와 같은 통계적 추론 능력을 기르기 위한 방안의 첫 단계연구이다. 통계적 추론과정을 비판적으로 분석하여 신뢰할만한 추론방법으로 이를 인정할 수 있는 표본개념의 형성을 위해, 연구자들은 우연과 필연, 귀납과 연역, 가능성원리, 통계량의 변이성, 통계적 모형 등의 하위 개념들이 형성되어야 한다고 보았다. 그리고 초중등 통계단원의 전 과정에서 이들 개념의 체계적인 발달을 도모해야 한다는 전제 아래, 초 중 고등학교 통계단원을 분석해 본 결과는 아래와 같았다. 첫째, 문제해결 방법 선택의 지도와 관련하여, 통계적 방법을 선택할 문제 상황으로서, 우연적 상황을 필연적 상황과 구분하기위한 설명이 있는 교과서가 초등학교에는 없고, 중등 수준에서도 매우 드물었다. 둘째 표본의 모집단 관련 의미를 이해시키려는 단계적 준비가 미흡하다고 할 수 있다. 전체와 부분의 모집단과 표본 구분이 고등학교에서 비로소 공식화되고 있으며, 초 중학교에서 사용되는 표본자료는 그것으로부터 얻어지는 계산적 결과에만 초점이 맞추어짐으로서, 학년이 올라감에 따라 모집단을 향한 귀납적 추론의 신뢰성에 대한 비판적 사고의 깊이가 더해지는 모습을 찾아보기 어려웠다. 셋째, 무작위 추출이 갖는 대표성의 의미에 대한 설명보다는 무작위 활동 자체에 대한 설명이 중심이 됨으로서 무작위 추출의 확률적 의미, 즉 무작위 표본을 통해 구해질 통계량의 표집분포에서의 (상속된) 무작위성을 위한 담보로서의 목적에 대한 설명이 없다는 점이다. 넷째 통계적 추론을 수학(연역)적 추론과 구분해 주는 설명이 없을 뿐 아니라, 학습자의 논리성 발달 수준에 맞게 변화하는 가능성원리에 대한 설명, 적용 등을 전혀 찾기 어렵다는 점이다. 다섯째 통계량의 우연변이성과 그에 따른 표집분포의 존재에 대한 이해를 추구하는 설명을 찾기 어렵다는 점이다. 표집분포를 수학적으로 구하는 것은 매우 어려운 과정이지만, 그것의 존재를 인식하느냐 못하느냐는 통계적 추론 자체의 이해 가능성을 달리하는 중요한 문제이기 때문이다.

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The Contribution of Innovation Activity to the Output Growth of Emerging Economies: The Case of Kazakhstan

  • Smagulova, Sholpan;Mukasheva, Saltanat
    • 유통과학연구
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    • 제10권7호
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    • pp.33-41
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    • 2012
  • The purpose of this study is to analyse the state of the energy industry and to determine the efficiency of its functioning on the basis of energy conservation principle and application of innovative technologies aimed at improving the ecological modernisation of agricultural sectors of Kazakhstan. The research methodology is based on an integrated approach of financial and economic evaluation of the effectiveness of the investment project, based on calculation of elasticity, total costs and profitability, as well as on comparative, graphical and system analysis. The current stage is characterised by widely spread restructuring processes of electric power industry in many countries through introduction of new technical installations of energy facilities and increased government regulation in order to enhance the competitive advantage of electricity market. Electric power industry features a considerable value of creating areas. For example, by providing scientific and technical progress, it crucially affects not only the development but also the territorial organisation of productive forces, first of all the industry. In modern life, more than 90% of electricity and heat is obtained by Kazakhstan's economy by consuming non-renewable energy resources: different types of coal, oil shale, oil, natural gas and peat. Therefore, it is significant to ensure energy security, as the country faces a rapid fall back to mono-gas structure of fuel and energy balance. However, energy resources in Kazakhstan are spread very unevenly. Its main supplies are concentrated in northern and central parts of the republic, and the majority of consumers of electrical power live in the southern and western areas of the country. However, energy plays an important role in the economy of industrial production and to a large extent determines the level of competitive advantage, which is a promising condition for implementation of energy-saving and environmentally friendly technologies. In these circumstances, issues of modernisation and reforms of this sector in Kazakhstan gain more and more importance, which can be seen in the example of economically sustainable solutions of a large local monopoly company, significant savings in capital investment and efficiency of implementation of an investment project. A major disadvantage of development of electricity distribution companies is the prevalence of very high moral and physical amortisation of equipment, reaching almost 70-80%, which significantly increases the operating costs. For example, while an investment of 12 billion tenge was planned in 2009 in this branch, in 2012 it is planned to invest more than 17 billion. Obviously, despite the absolute increase, the rate of investment is still quite low, as the total demand in this area is at least more than 250 billion tenge. In addition, industrial infrastructure, including the objects of Kazakhstan electric power industry, have a tangible adverse impact on the environment. Thus, since there is a large number of various power projects that are sources of electromagnetic radiation, the environment is deteriorated. Hence, there is a need to optimise the efficiency of the organisation and management of production activities of energy companies, to create and implement new technologies, to ensure safe production and provide solutions to various environmental aspects. These are key strategic factors to ensure success of the modern energy sector of Kazakhstan. The contribution of authors in developing the scope of this subject is explained by the fact that there was not enough research in the energy sector, especially in the view of ecological modernisation. This work differs from similar works in Kazakhstan in the way that the proposed method of investment project calculation takes into account the time factor, which compares the current and future value of profit from the implementation of innovative equipment that helps to bring it to actual practise. The feasibility of writing this article lies in the need of forming a public policy in the industrial sector, including optimising the structure of energy disbursing rate, which complies with the terms of future modernised development of the domestic energy sector.

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CrPt3(001) 박막의 자성: 제일원리계산 (First Principles Calculations on Magnetism of CrPt3(001) Thin Films)

  • 정태성;제갈소영;임성현;홍순철
    • 한국자기학회지
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    • 제27권2호
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    • pp.41-48
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    • 2017
  • $CrPt_3$ 합금은 큰 Kerr 효과를 보여 주는 강한 자기결정 이방성을 가지고 있고 흥미롭게도 훈트 제3법칙을 따르지 않는 것으로 알려져 있다. 본 연구에서는 $CrPt_3$ 합금 박막의 두께의 따른 자성과 자기결정 이방성의 변화를 제일원리계산 방법을 이용하여 연구하였다. 기준 자료로 활용하기 위해 덩치 $CrPt_3$의 다양한 자성 상태, 즉 강자성(FM), A-, C-, G-type 반강자성(A-, C-, G-AF)에 대한 계산을 우선 수행하였는데 덩치 $CrPt_3$은 FM 상태가 안정하였고 이는 실험과 일치하였다. A-, C-, G-AF 상태가 FM 상태일 때 보다 총에너지가 각각 0.517, 0.591, 0.183 eV 만큼 높았고 Cr의 자기모멘트는 FM, A-, C-, G-AF 일 때 각각 2.782, 2.805, 2.794, $2.869_{{\mu}_B}$으로 확인되었다. $CrPt_3$(001) 박막의 표면은 CrPt 표면과 Pt 표면으로 두 종류의 원소 구성을 가질 수 있다. 각각의 표면에 대해 3층에서 9층까지 두께를 변화시켜 가면서 계산을 수행하였다. CrPt 표면의 3층 박막은 덩치와는 다르게 C-AF 상태가 FM 상태에 비해 8 meV 안정하였고 그 보다 두꺼운 5층, 7층, 9층 박막은 덩치처럼 FM 상태가 안정하였다. Pt 표면의 3층 박막은 C-AF 상태가 FM 상태에 비해 37 meV, 5층 박막은 G-AF이 FM 상태에 비해 54 meV 만큼 안정하였고 그 보다 두꺼운 7, 9층 박막은 덩치와 같이 FM 상태가 더 안정하였다.

모자건강관리를 위한 위험요인별 감별평점분류기준 개발에 관한 연구 (A Study on the Risk Factors for Maternal and Child Health Care Program with Emphasis on Developing the Risk Score System)

  • 이광옥
    • 대한간호학회지
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    • 제13권1호
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    • pp.7-21
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    • 1983
  • For the flexible and rational distribution of limited existing health resources based on measurements of individual risk, the socalled Risk Approach is being proposed by the World Health Organization as a managerial tool in maternal and child health care program. This approach, in principle, puts us under the necessity of developing a technique by which we will be able to measure the degree of risk or to discriminate the future outcomes of pregnancy on the basis of prior information obtainable at prenatal care delivery settings. Numerous recent studies have focussed on the identification of relevant risk factors as the Prior infer mation and on defining the adverse outcomes of pregnancy to be dicriminated, and also have tried on how to develope scoring system of risk factors for the quantitative assessment of the factors as the determinant of pregnancy outcomes. Once the scoring system is established the technique of classifying the patients into with normal and with adverse outcomes will be easily de veloped. The scoring system should be developed to meet the following four basic requirements. 1) Easy to construct 2) Easy to use 3) To be theoretically sound 4) To be valid In searching for a feasible methodology which will meet these requirements, the author has attempted to apply the“Likelihood Method”, one of the well known principles in statistical analysis, to develop such scoring system according to the process as follows. Step 1. Classify the patients into four groups: Group $A_1$: With adverse outcomes on fetal (neonatal) side only. Group $A_2$: With adverse outcomes on maternal side only. Group $A_3$: With adverse outcome on both maternal and fetal (neonatal) sides. Group B: With normal outcomes. Step 2. Construct the marginal tabulation on the distribution of risk factors for each group. Step 3. For the calculation of risk score, take logarithmic transformation of relative proport-ions of the distribution and round them off to integers. Step 4. Test the validity of the score chart. h total of 2, 282 maternity records registered during the period of January 1, 1982-December 31, 1982 at Ewha Womans University Hospital were used for this study and the“Questionnaire for Maternity Record for Prenatal and Intrapartum High Risk Screening”developed by the Korean Institute for Population and Health was used to rearrange the information on the records into an easy analytic form. The findings of the study are summarized as follows. 1) The risk score chart constructed on the basis of“Likelihood Method”ispresented in Table 4 in the main text. 2) From the analysis of the risk score chart it was observed that a total of 24 risk factors could be identified as having significant predicting power for the discrimination of pregnancy outcomes into four groups as defined above. They are: (1) age (2) marital status (3) age at first pregnancy (4) medical insurance (5) number of pregnancies (6) history of Cesarean sections (7). number of living child (8) history of premature infants (9) history of over weighted new born (10) history of congenital anomalies (11) history of multiple pregnancies (12) history of abnormal presentation (13) history of obstetric abnormalities (14) past illness (15) hemoglobin level (16) blood pressure (17) heart status (18) general appearance (19) edema status (20) result of abdominal examination (21) cervix status (22) pelvis status (23) chief complaints (24) Reasons for examination 3) The validity of the score chart turned out to be as follows: a) Sensitivity: Group $A_1$: 0.75 Group $A_2$: 0.78 Group $A_3$: 0.92 All combined : 0.85 b) Specificity : 0.68 4) The diagnosabilities of the“score chart”for a set of hypothetical prevalence of adverse outcomes were calculated as follows (the sensitivity“for all combined”was used). Hypothetidal Prevalence : 5% 10% 20% 30% 40% 50% 60% Diagnosability : 12% 23% 40% 53% 64% 75% 80%.

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