• 제목/요약/키워드: cardinal number

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초등학교 교육과정에 제시된 자연수 개념의 지도 내용 분석 (The Analysis on the textbook Contents about the Natural number Concepts in the Korean National Elementary Mathematics Curriculum)

  • 이명희;황우형
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권4호
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    • pp.437-462
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    • 2010
  • The purpose of this research is to analyze the textbook contents about the natural number concepts in the Korean National Elementary Mathematics Curriculum. Understanding a concept of natural number is crucial in school mathematics curriculum planning, since elementary students start their basic learning with natural number system. The concepts of natural number have various meaning from the perspectives of pedagogical research, and the philosophy of mathematics. The natural number concepts in the elementary math curriculum consist of four aspects; counting numbers, cardinal numbers, ordinal numbers, and measuring numbers. Two research questions are addressed; (1) How are the natural number concepts focusing on counting, cardinal, ordinal, measuring numbers are covered in the national math curriculum? ; (2) What suggestions can be made to enhance the teaching and learning about the natural number concepts? Findings reveal that (1) the national mathematics curriculum properly reflects four aspects of natural number concepts, as the curriculum covers 50% of the cardinal number system; (2) In the aspect of the counting number, we hope to add the meaning about 'one, two, three, ......, and so on' in the Korean Mathematics curriculum. In the ordinal number, we want to be rich the related meaning in a set. Further suggestions are made for future research to include them ensuing number in the curriculum.

NEW CARDINAL FUNCTIONS RELATED TO ALMOST CLOSED SETS

  • Cho, Myung Hyun;Moon, Mi Ae;Kim, Junhui
    • 호남수학학술지
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    • 제35권3호
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    • pp.541-550
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    • 2013
  • In this paper, we strengthen the properties of approximation by points (AP) and weak approximation by points (WAP) considered by A. Pultr and A. Tozzi in 1993 to define ${\kappa}$-AP and ${\kappa}$-WAP for an infinite cardinal ${\kappa}$. We also strengthen the properties of radial and pseudoradial to define ${\kappa}$-radial and ${\kappa}$-pseudoradial for an infinite cardinal ${\kappa}$. These allow us to consider new cardinal functions related to almost closed sets; AP-number, WAP-number, radial number, and pseudoradial number. We study their properties and show the relationships between them. We also provide some examples around ${\kappa}$-AP and ${\kappa}$-WAP which are closely connected with ${\kappa}$-radial and ${\kappa}$-pseudoradial.

CARDINALITY OF TYPE 2 FOR FUZZY-VALUED FUNCTIONS

  • Jang, Lee-Chae
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.265-272
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    • 1999
  • In this paper we define generalized concepts of cardinal-ity of a fuzzy-valued function and obtained some properties of these new concepts.

Activating Twenty-four: Time, Space, and Body

  • KOHN, Livia
    • 대순사상과 동아시아종교
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    • 제2권1호
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    • pp.57-83
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    • 2022
  • Numbers structure reality and define the way people live. Both in Daoism and in Daesoon Jinrihoe they signify key concepts, notably the cardinal numbers from one through nine that classify different dimensions of the cosmos. Beyond these, the number twenty-four plays an important role. In a temporal mode, it marks the divisions or seasonal periods of the year. Consisting of fifteen days each, these periods signal (and are named after) changes in dominant weather patterns and the position of the sun. Generally activated in the body through particular seasonal activities and dietary prescriptions, in Daoism they are also the root of a series of healing exercises and certain refinement practices of internal alchemy. In Daesoon Jinrihoe, moreover, they are activated by chanting a specific incantation that invokes the twenty-four divine rulers of the divisions, originally a group of Tang Dynasty officials that in nature and function resemble the spirit generals of the early Celestial Masters. Beyond this, the number twenty-four also applies to space. Not unlike the twenty-eight lunar stations or mansions, traditional cosmology acknowledges twenty-four directions, made up of six constellations each in the four cardinal directions, complete with starry deities and divine generals. Their powers are activated with the help of written characters rather than vocal incantations, using techniques common both in Daoism and Daesoon Jinrihoe.

카디널 보간을 이용한 효율적인 고화질 볼륨 가시화 (Efficient High Quality Volume Visualization Using Cardinal Interpolation)

  • 계희원
    • 한국멀티미디어학회논문지
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    • 제14권3호
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    • pp.339-347
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    • 2011
  • 볼륨 가시화가 의료 데이터에 이용되면서 고화질 영상을 생성하고자 하는 요구가 계속되고 있다. 기존에 볼륨 가시화에 사용되던 선형 보간 필터는 상대적으로 빠른 속도로 좋은 화질의 영상을 생성하지만, 더 높은 화질의 영상을 생성하려면 고차 보간 필터가 필요하다. 고차 보간 필터를 사용하는 경우 성능 저하가 발생하는데, 재-샘플링의 연산 시간이 크게 증가하기 때문이다. 본 연구는 고차 보간 필터에 카디널 보간을 적용하여 고화질 볼륨 가시화를 수행한다. 그리고 빈공간 도약 기법을 적용 가능하게 하여 재 샘플링의 횟수를 감소시키고 효율적인 가시화를 수행한다. 구체적으로 볼륨 데이터를 일정 크기의 블록으로 나누고, 각 블록의 밀도값의 상계와 하계를 이용하여, 빈공간을 도약한다. 이 과정에서 본 연구는 각 블록의 밀도값의 상계와 하계를 계산하는 새로운 방법을 제안한다. 그 결과로서 빈공간 도약이 효율적으로 수행되어 고화질 볼륨 가시화 수행속도를 크게 향상되었다.

Promoting and improving three Rs practice: the Korean guidelines

  • Choe, Byung In;Lee, Gwi Hyang
    • BMB Reports
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    • 제50권12호
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    • pp.610-614
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    • 2017
  • Scientists planning research that involves the use of animals are required to examine the possibilities for replacement, reduction, or refinement (the Three Rs), and their protocol must be reviewed by the Institutional Animal Care and Use Committee. Good scientific practice involving appropriate search techniques on the available Three Rs resources is essential for both ethical and scientific reasons. Appropriate experimental design and statistical analysis techniques are particularly necessary for research involving the use of animals, because this can improve animal welfare and scientific outcomes, as well as saving animal lives. There are a number of resources to help researchers improve their search techniques, experimental design strategies, and their reporting of research involving the use of animals. However, there is little specific information or resources on the Three Rs alternatives that is readily available in the Korean language. This paper outlines the common errors made by submitting researchers that have been repeatedly observed during the ethical review of experimental protocols over the last ten years, and provides information on the Korean resources available to promote good scientific practice. This could help to bridge the gap between Korean scientists and animal welfare advocates assisting scientists to improve ethical considerations and conduct responsible research.

Compatibility of the Direction Sign on the Pendant Switch of Overhead Cranes

  • Park, Jae Hee
    • 대한인간공학회지
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    • 제34권1호
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    • pp.75-83
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    • 2015
  • Objective: The aim of this study is to suggest the standard of the direction sign on the pendant switch of overhead cranes which can reduce human errors in control. Background: A great number of crane accidents occur in industries. One of the major causes of the accidents is the mistake in the control of cranes by confusing the orientation of crane movements. Nevertheless, three different direction sign styles, 'East, West, South, North (EWSN)', 'Forward, Backward, Left, Right (FBLR)', and arrows for four directions are used without standardization. Method: An overhead crane simulator was installed for a laboratory experiment. It could move along six directions by the control of a pendant switch. 90 participants were evenly assigned to the three different conditions of direction sign styles. The participants were asked to control the pendant switch according to the continuously appearing 16 direction signs on a monitor ahead. The participants were allowed to refer an orientation sign board on the ceiling representing correct movement directions of the overhead crane simulator. Results: The direction sign style, 'EWSN', showed statistically significant better performance in task completion time and number of errors than the other sign styles. The direction sign style, 'EWSN', adopting the cardinal direction system, made the participants clear in direction controls after customizing to the crane movements. However, the direction sign styles, 'FBLR' and the arrows adopting the relative direction system made conflicts in direction controls due to the egocentric view of human. Conclusion: The direction sign style, 'EWSN', is the most appropriate for the standardization of the direction sign on the pendant switch of overhead cranes. Application: The results of this study can be applied to the standardization of direction sign in the legal notification on the safety certifications of crane manufacturing.

고차유한요소의 파랑변형해석에의 적용에 관한 소고 (A Study on Wave Transformation Analysis using Higher-Order Finite Element)

  • 정태화;이종인;김영택;류용욱
    • 한국해안·해양공학회논문집
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    • 제21권2호
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    • pp.108-116
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    • 2009
  • 유한요소법에 사용되어 효율적으로 파랑변형을 해석할 수 있는 (Legendre 보간 함수) 방법을 소개하였다. 고차의 보간함수를 사용하는 유한요소모형은 대부분이 Lagrangian 보간 함수를 사용한다. 이 경우, 적은 수의 요소를 사용하고도 정확한 결과를 얻을 수 있다는 장점이 있지만 결과를 얻기 위해 소요되는 시간이 증가한다는 단점이 있다. Mass lumping을 통하여 계산 시간을 절약할 수는 있지만 이 경우에는 해의 정확성이 떨어진다는 단점이 있어 정확도를 향상시키기 위하여 요소의 수를 증가시켜 다시 계산시간이 증대되는 문제가 생기게 된다. 본 연구에서 Lagrangian 보간 함수의 변형된 형태인 Legendre 보간함수에 수치적분을 사용하여 mass lumping을 수행한 것과 같이 대각 행렬을 만들어 시간 절약의 효과를 얻으면서도 정확도가 어느 정도 유지되는 방법을 소개하였다. Boussinesq 방정식을 이용한 다양한 수치 계산을 통하여 본 연구에서 제안하는 방법의 우수성을 검증하였다.

인도 임상시험 피해보상제도 분석 및 윤리적 고찰 (Analysis and Ethical Review of the Compensation System for Clinical Trial Injury in India)

  • 이찬주;최병인
    • 대한기관윤리심의기구협의회지
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    • 제3권1호
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    • pp.1-10
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    • 2021
  • In 2004, India began investing in the clinical trial industry; the country now boasts a 20% market share with the help of a valuable resource - the world's second largest population. The Contract Research Organization has been able to generate profits efficiently conducting clinical trials via a large pool of participants, skilled researchers, and reduced developmental costs. As the demand and sheer number of global clinical trials increased, the International Council of Harmonization-Good Clinical Practice was introduced, and the need for the Institutional Review Board increased. While the clinical trial industry in India boomed, it came at the expense of the participants' civil rights. The increased media attention regarding the ethical issues forced the Indian Supreme Court to take action. Consequently, India is the only country, by law, that specifically compensates participants suffering from injury directly resulting from participation in clinical trials. This research paper will describe and compare the relevant laws of India and Korea including compensation criteria. In addition, the ethical issues and aspects of indemnity in clinical trials will be discussed. While the clear advantage of the compensation is one of the protected rights of a clinical subject, the current system is not perfect. Furthermore, laws created to redeem ethical issues can have unintended, negative consequences.

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상대적(相對的) 위험(危險)과 추계적(推計的)-통계적(統計的) 우세법칙(優勢法則) (Relative Risk Aversion and Stochastic-Statistical Dominance)

  • 이대주
    • 대한산업공학회지
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    • 제15권2호
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    • pp.33-44
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    • 1989
  • This paper presents stochastic-statistical dominance rules which eliminate dominated alternatives thereby reduce the number of satisficing alternatives to a manageable size so that the decision maker can choose the best alternative among them when neither the utility function nor the probability distribution of outcomes is exactly known. Specifically, it is assumed that only the characteristics of the utility function and the value function are known. Also, it is assumed that prior probabilities of the mutually exclusive states of nature are not known, but their relative bounds are known. First, the notion of relative risk aversion is used to describe the decision maker's attitude toward risk, which is defined with the acknowledgement that the utility function of the decision maker is a composite function of a cardinal value function and a utility function with-respect to the value function. Then, stochastic-statistical dominance rules are developed to screen out dominated alternatives according to the decision maker's attitude toward risk represented in the form of the measure of relative risk aversion.

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