• The Mathematical Education
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• v.49 no.4
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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.

• Honam Mathematical Journal
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• v.35 no.3
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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.

• Journal of applied mathematics & informatics
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• v.6 no.1
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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.

• Journal of Daesoon Thought and the Religions of East Asia
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• v.2 no.1
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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.

• Journal of Korea Multimedia Society
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• v.14 no.3
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• pp.339-347
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• 2011

As the volume visualization has been applied to render medical datasets, there has been a requirement to produce high quality images. Even though nice images can be generated by using previous linear filter, high order filter is required for better images. However, it takes much time for high order resampling, so that, overall rendering time is increased. In this paper, we perform high quality volume visualization using the cardinal interpolation. By enabling the empty space leaping which reduces the number of resampling, we achieve the efficient visualization. In detail, we divide the volume data into small blocks and leap empty blocks by referring the upper and lower bound value for each block. We propose a new method to estimate upper and lower bound value of for each block. As the result, we noticeably accelerated high quality volume visualization.

• BMB Reports
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• v.50 no.12
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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.

• Journal of the Ergonomics Society of Korea
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• v.34 no.1
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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.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.21 no.2
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• pp.108-116
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• 2009

The present study introduces a Legendre interpolation function which is capable of analyzing wave transformation effectively in a finite element method. A Lagrangian interpolation function has been mostly used for a finite element method with a higher-order interpolation function. Although this function has an advantage of giving an accurate result with less number of elements, simulation time increases. Calculation time can be reduced by mass lumping, whereas the accuracy of solution is lowered. In this study, we introduce a modified Lagrangian interpolation function, Legendre cardinal interpolation, which can reduce simulation time with keeping up favorable accuracy. Through various numerical simulations using a Boussinesq equations model, the superiority of the Legendre cardinal interpolation function to a Lagrangian interpolation function was shown.

• The Journal of KAIRB
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• v.3 no.1
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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.

• Journal of Korean Institute of Industrial Engineers
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• v.15 no.2
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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.