• East Asian mathematical journal
• /
• 제18권1호
• /
• pp.111-125
• /
• 2002

Many different families of infinite series were recently observed to be summable in closed forms by means of certain operators of fractional calculus(that is, calculus of integrals and derivatives of any arbitrary real or complex order). In this sequel to some of these recent investigations, the authors present yet another instance of applications of certain fractional calculus operators. Alternative derivations without using these fractional calculus operators are shown to lead naturally a family of analogous infinite sums involving hypergeometric functions.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제48권3호
• /
• pp.213-234
• /
• 2009

College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.

• 대한수학회논문집
• /
• 제12권2호
• /
• pp.457-466
• /
• 1997

We give a formula related to fractional calculus which may be useful in solving some fractional linear differential equations. We also give a brief survey of the history of the fractional calculus.

• 대한약침학회지
• /
• 제12권3호
• /
• pp.61-72
• /
• 2009

Objectives : This experimental study was performed to investigate the safety and efficacy of Bovis Calculus pharmacopuncture solution manufactured with freezing dryness method to use eye drop. To identify the use of it as eye drop, the eye irritation test of rabbits and the antibacterial test of Staphylococcus aureus, Staphylococcus epidermidis, Pseudomonas aeruginosa, Aspergillus niger, Fusarium oxysporum, and Candida albicans were performed. Methods : 1. The eye irritation test of this material was performed according to the Regulation of Korea Food & Drug Administration(2005. 10. 21, KFDA 2005-60). After Bovis Calculus pharmacopuncture solution was administered in the left eye of the rabbits, eye irritation of the cornea, iris and conjunctiva was observed at 1, 2, 3, 4 & 7day. 2. After administering Bovis Calculus pharmacopuncture solution on bacterial species(Staphylococcus aureus, Staphylococcus epidermidis, Pseudomonas aeruginosa, Aspergillus niger, Fusarium oxysporum, Candida albicans) which cause Keratitis, MIC(Minimum Inhibition Concentration) and the size of inhibition zone were measured. Anti-bacterial potency was also measured using the size of inhibition zone. Results : 1. After Bovis Calculus pharmacopuncture solution was administered in the left eye of the rabbits, it was found that none of nine rabbits have abnormal signs and weight changes. 2. After Bovis Calculus pharmacopuncture solution was medicated in the left eye of the rabbits, no eye irritation of the cornea, iris and conjunctiva was observed at 1, 2, 3, 4 & 7day. 3. There was no response to MIC on bacterial species(Staphylococcus aureus, Staphylococcus epidermidis, Pseudomonas aeruginosa, Aspergillus niger, Fusarium oxysporum, Candida albicans) after Bovis Calculus pharmacopuncture solution was medicated. Conclusions : The present study suggests that Bovis Calculus pharmacopuncture solution is a nontoxic and non-irritant medicine, which does not cause eye irritation in rabbits, but dosen't have antibacterial effects on bacterial species(Staphylococcus aureus, Staphylococcus epidermidis, Pseudomonas aeruginosa, Aspergillus niger, Fusarium oxysporum, Candida albicans) which cause Keratitis. These study result recommends that more research on other herbal medicines of eye drop for Keratitis are required.

• Journal of Acupuncture Research
• /
• 제24권4호
• /
• pp.125-142
• /
• 2007

calculus pharmacopuncture. Porcine skin including fat tissue after treated Fel ursi and Bovis calculus pharmacopuncture by means of the dosage dependent variation are investigated the histologic changes after injection of these pharmacopuncture. Results: Following results were obtained from the preadipocyte proliferation and lipolysis of adipocyte and histologic investigation of fat tissue. 1. Fel ursi and Bovis calculus pharmacopuncture showed the effect of decreased preadipocyte proliferation on the high dosage($1mg/m{\ell}$). 2. Fel ursi pharmacopuncture showed the effect of decreased the activity of glycerol-3-phosphate dehydrogenase (GPDH) on the high dosage($1mg/m{\ell}$) and Bovis calculus pharmacopuncture significantly showed from $0.1mg/m{\ell}$ concentration. 3. Fel ursi pharmacopuncture was not showed the effect of lipolysis, but Bovis calculus pharmacopuncture was increased the effect of lipolysis in all concentration significantly. 4. Investigated the histological changes in porcine fat tissue after treated Fel ursi and Bovis calculus pharmacopuncture, we knew that these pharmacopuncture was showed significant activity to the lysis of cell membranes in all concentration. Conclusion : These results suggest that Fel ursi and Bovis calculus pharmacopuncture efficiently induces diminish proliferation of preadipocyte and lipolysis in adipose tissue.

• 한국수학교육학회지시리즈E:수학교육논문집
• /
• 제30권1호
• /
• pp.47-65
• /
• 2016

국내 대학의 여러 분야에서 블렌디드러닝과 면대면 수업 방식에 의한 교육 효과를 비교한 연구 결과들이 나와 있으나 대학의 수학 분야 혹은 미적분학 과목에 관해서는 찾아보기 쉽지 않다. 여기서는 공학계열 전공을 선택하고자 하는 학생들을 대상으로 하는 대학 미적분학 과목에서 블렌디드러닝과 면대면 수업방식에 따른 교육 효과를 H대학의 사례를 분석하여 선행연구결과와 종합하여 고찰한다.

• 대한약침학회지
• /
• 제11권3호
• /
• pp.105-111
• /
• 2008

Objective: The aim of this study is to investigate the safety of Fel Ursi, Bovis Calculus & Moschus pharmacopuncture solution manufactured with freezing dryness method to use eye drop. Methods: The eye irritation test of this material was performed according to the Regulation of Korea Food & Drug Administration(2005. 10. 21, KFDA 2005-60). After Fel Ursi, Bovis Calculus & Moschus pharmacopuncture solution was applied eyewash in the left eye of the rabbits, the author observed eye irritation of the cornea, iris, conjunctiva at 1, 2, 3, 4 & 7day. Results: 1. After Fel Ursi, Bovis Calculus & Moschus pharmacopuncture solution was applied eyewash in the left eye of the rabbits, there wasn t physical problem at 9 rabbits. 2. After Fel Ursi, Bovis Calculus & Moschus pharmacopuncture solution was applied eyewash in the left eye of the rabbits, there wasn't eye irritation of the cornea, iris, conjunctiva at 1, 2, 3, 4 & 7day. Conclusions: In this study, it was observed that Fel Ursi, Bovis Calculus & Moschus pharmacopuncture solution didn't induced eye irritation in rabbits.

• 한국수학사학회지
• /
• 제23권3호
• /
• pp.45-56
• /
• 2010

순차식 연산은 겐첸이 자연연역을 1934년 대칭적 버전으로 재구성한 것으로서, 여기에서 그는 '주정리' 를 소개한다. 이 논문에서 우리는 절단의 유용성에도 불구하고 증명이론에서 왜 절단정리가 이토록 중요한 위상을 차지하는지 검토할 것이다. 이어서 커리-하우어드 대응의 역동적 측면, 즉 절단 제거와 단순히 유형화된 람다-연산에서 ${\beta}$-환원의 대응이 연구될 것이다. 이러한 대응의 중요성은 프로그램의 세계와 수학 증명의 세계를 마주보게 함으로써 프로그램의 정확성을 보증해준다는 데에 있다.

• 대한수학교육학회지:수학교육학연구
• /
• 제8권2호
• /
• pp.495-507
• /
• 1998

This article intends to review what problems the terms in calculus have and how those problems are caused. For this purpose We make examinations on the considerations in the analysis of mathematical terminology, which includes the problems of general and technical terms, the meaning and the boundary of words, their consistency, the name and meaning, concept and their concept images, translations and qwerty effects. And in chapter 3, We analyse the textbook which are currently used, through which I was able to find out that the terms in calculus have some problems, In other words, the key terms such as "differentiable", "differential coefficient", "differential" have their roots in the term "differential" but the term "derived function" is very distinct from other terms and thus obstructs the consistency of terms. And the central term "differential" is being used without clear definition. In particular, the fact that "differential", when used in its arbitrary definition, has the image of "splitting minutely" can be an obstacle to understanding the exact concepts of calculus. In chapter 4, We make a review on the history of calculus and the term "differential" currently used in modern mathematics so that I can identify the origin of the problem connected with the usage of the term "differential". We should recognize the specified problems and its causes and keep their instructional implications in mind. Furthermore, following researches and discussions should be made on whether the terminology system of calculus should be reestablished and how the reestablishment should be made.e terminology system of calculus should be reestablished and how the reestablishment should be made.

• 대한수학교육학회지:수학교육학연구
• /
• 제19권1호
• /
• pp.123-142
• /
• 2009

운동학 맥락은 미적분 학습에서 미적분의 형식적인 내용의 직관적인 이해의 원천으로 간주된다. 속도 그래프 아래의 넓이와 이동 거리 관계는 적분 영역에서 다루는 운동학적 맥락의 토대이며, 미적분의 기본정리가 역사적으로 발달한 맥락이다. 본 연구는 속도 그래프 아래의 넓이와 거리 계산 사이의 관계를 통해서 미적분의 기본정리를 조명하고, 이를 통해서 교과서 및 학생들의 이해에서 나타나는 문제점을 분석하였다. 그리고 이상의 논의 결과를 종합하여 미적분의 기본정리에 대한 교육적 시사점을 제안하였다.