• Journal of the Korean Mathematical Society
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• v.57 no.4
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• pp.1059-1059
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• 2020

• Journal of applied mathematics & informatics
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• v.41 no.6
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• pp.1365-1376
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• 2023

In this paper, we construct higher-order poly-tangent polynomials and study several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order poly-tangent polynomials.

• Journal of applied mathematics & informatics
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• v.42 no.2
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• pp.457-469
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• 2024

In this paper, we construct higher-order (p, q)-poly-tangent numbers and polynomials and give several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order (p, q)-poly-tangent polynomials.

• Journal of Korean Elementary Science Education
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• v.35 no.2
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• pp.137-149
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• 2016

The purpose of this study is to develop a descriptive paper test item which can evaluate elementary school students' HGA (scientific Hypothesis Generating Ability) and to propose a counting formula that can easily assess student's HGA objectively and quantitatively. To make the test item can possibly evaluate all the students from 6th graders to 3rd graders, the 'rabbit's ear' item is developed. Developed test item was distributed to four different elementary schools in Seoul. Total 280 students who were in the 6th grade solved the item. All the students' reponses to the item were analyzed. Based on the analyzed data evaluation factors and evaluation criteria are extracted to design a Hypothesis Generating ability Quotient (HGQ). As the result 'Explican's Degree of Likeness' and 'Hypothesis' Degree of Explanation' are chosen as evaluation factors. Also precedent evaluation criteria were renewed. At first, Explican's Degree of Likeness evaluation criterion was turned four levels into three levels and each content of evaluation criterion is also modified. Secondly, new evaluation factor 'Hypothesis' Degree of Explanation' was developed as combined three different evaluation criteria, 'level of explican', 'number of explican' and 'structure of explican'. This evaluation factor was designed to assess how the suggested hypothesis can elaborately explain the cause of one phenomenon. Newly designed evaluation factors and evaluation criteria can assess HGA more in detail and reduce the scoring discordant through the markers. Lastly, Developed counting formula is much more simple than precedent Kwon's equation for evaluating the Hypothesis Explanation Quotient. So it could help easily distinguish one student's scientific hypothesis generating ability.

• Bulletin of the Korean Mathematical Society
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• v.59 no.5
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• pp.1093-1103
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• 2022

In this paper, we establish an evaluation formula to calculate the Wiener integral of polynomials in terms of natural dual pairings on abstract Wiener spaces (H, B, 𝜈). To do this we first derive a translation theorem for the Wiener integral of functionals associated with operators in 𝓛(B), the Banach space of bounded linear operators from B to itself. We then apply the translation theorem to establish an integration by parts formula for the Wiener integral of functionals combined with operators in 𝓛(B). We finally apply this parts formula to evaluate the Wiener integral of certain polynomials in terms of natural dual pairings.

• Proceedings of the Korea Water Resources Association Conference
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• 2018.05a
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• pp.146-146
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• 2018

Basin evapotranspiration is the result of water balance and energy balance, which is affected by climate and underlying surface characteristics, the process is complex, and spatial and temporal variability is large, the evapotranspiration estimation of river basin is an important but difficult problem in the field of hydrology, over the years, many scholars devoted to the basin actual evapotranspiration estimation and achieved excellent results. We discuss Budyko coupled water-energy balance theory and evaporation paradox, then use the Fu's equation to estimate actual evapotranspiration yearly in different areas with different dryness. The result shows that Fu's equation has high precision for estimating evapotranspiration yearly in our selected study area, and the estimation result has higher precision in the area with high dryness. Then, we propose an improved formula which can be used to estimate actual evapotranspiration monthly. Furthermore, we found that the parameter in the formula reflects general conditions of underlying surface and it is affected by several factors, at last, we tried to propose the calculation formula. The study indicates that Fu's equation provides a reliable method for evapotranspiration estimation in dry regions as well as semi-humid and semi-arid regions, which has great significance for forecasting river basin water resources and inquiring into ecological water requirement.

• Journal of Korean Classical Literature and Education
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• no.15
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• pp.139-161
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• 2008

This study examined the texts of the Late Joseon Dynasty's YEONJEONG GASA, whose authors are unknown, to list the contents of education which can be provided by conventional elements. Most existing discussions on expression education have focused on creativity. However, the perspective creativity based on the concepts of modern individualism and difference believes that creation can be done only by special professionals with inborn abilities and is likely to jeopardize the possibility and need of expression education to reduce the scope of expression education. On the other hand, conventionality has been related to "cliche" and "old-fashioned" and considered the counterpoint of creativity with lacking originality and aesthetical or educational valuelessness. Nevertheless, conventionality is valuable as cultural custom in that it is closely related to the contemporary culture, thoughts, and language. Also, it is the power that creates new text and induces sympathy in receivers. The Late Joseon Dynasty's YEONJEONG GASA by unknown authors include typicality of circumstances, schematism of emotion, and formula in conventionality. The positive aspects of conventionality - familiarity and intimacy - are the basis of sympathy and become the power that encourages the public to participate in creation and enjoyment within the frame of creativity. Ultimately, conventionality of YEONJEONG GASA allows learners to experience the pleasure of expression and has an important meaning for expression education as it provides them with the opportunity to perform expressions to extend sympathy.

• The Mathematical Education
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• v.17 no.2
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• pp.33-35
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• 1979

• Communications of Mathematical Education
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• v.11
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• pp.297-305
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• 2001

In this paper, we derive the formula that the number of configuration on the rectangular arrays is counted by the composite shift operator method.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.3
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• pp.1084-1090
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• 2012

The objectives of this study were to investigate needs and determine the priority of needs of women immigrants on life-long education. The subjects of the study were 121 women immigrants who participated in life-long education programs before. Borich priority determination formula and Locus for Focus Model were used for the determination of the priority of needs. The result indicated that the priority of needs were in order of education for employment, education for child rearing, and education for pregnancy, delivery and health life. The suggestions for program development of women immigrants are discussed.