• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.55-64
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• 2004

본 대학의 공학수학교육 정책 중의 하나로서 대학 입학 전인 2월 중에 예비대학을 개설하여 기초수학 수준별 특별교육을 실시하였다. 수준별교육의 일환으로써 야간대학 실업계 고교출신 직업학생들을 대상으로 실시한 기초수학[Pre-Calculus] 특별교육이 미분적분학 학습에 준 성공적인 결과를 분석하고, 향후 기초수학 수준별 특별교육을 통한 주야간 공과대학 미분적분학 교육의 발전적인 방향에 대하여 고찰해 보고자한다.

• Communications of Mathematical Education
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• v.23 no.4
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• pp.953-959
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• 2009

Provide the present state and problems in mathematical ability of freshmen of Applied Mathematics Department in the year of 2009 on the bases of their mathematical abilities comparing on the early test and the final one of the first semester after taking Precalculus 1.

• Journal of Periodontal and Implant Science
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• v.23 no.1
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• pp.183-192
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• 1993

The purpose of this epidermiological analysis was to evaluate the periodontal status of Korean young adults(twenties) in order to provide detail & baseline data for frequence of periodontal disease. Two hundred and fifty young adults, aged 20-29 years, were selected by random sampling. Dental visity, scaling treatment, education, income, toothbrushing frequence & method were checked, and plaque index(Loe and silness), calculus index(Ramfjord), gingival index(Loe and silness), attached gingival width, perio probing depth, gingival recession were measured. The obtained results were as follows. 1. Average plaque index(1.96), calculus index(1.43), gingival index(1.7) were higher in mandible than maxillar. It was most prevalent in lst molar. 2. Average attached gingival width(4.0mm) was wider in maxillar than mandible. It was most prominent in lateral incisor. 3. Pocket depth(>4mm) was distributed in 42% subject, it was higher in mandible than maxilla and most prevalent in 1st molar. 4. Gingival recession(>1mm) was distributed in 94% subject, it was higher in mandible than maxilla, and most prevalant in canine. 5. According to unpaired t-test, palque index, calculus index, gingival index were not statistically significant in history of scaling treatment, level of eduction and account of income, but were showed statistically significant in histrory of dental clinic.(PB0.05) 6. According to ANOVA test, correlation between tooth-brushing(frequence, method) and gingival index was showed statistically significant.(P<0.05) 7. There was gingival recessionof 87% subject in only one time brushing, 80% subject in two time, and 68% subject in three times. There was gingival recessionof 68% subject in leftright direction tooth brushing, 73% subject in upper-low method and 77% subject in combination method.

• The Pure and Applied Mathematics
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• v.12 no.2 s.28
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• pp.125-131
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• 2005

In this paper, we introduce the concept of derivative of the function f : $\mathbb{Q}p{\to} R$ where $\mathbb{Q}p$ is the field of the p-adic numbers and R is the set of real numbers. And some basic theorems on derivatives are given.

• Korean Journal of Mathematics
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• v.23 no.4
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• pp.655-664
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• 2015

In this paper, we prove the discrete Hardy inequality through the continuous case for decreasing functions using elementary properties of calculus. Also, we prove the Carleman's inequality through limiting the discrete Hardy inequality with applications of Taylor series.

• Honam Mathematical Journal
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• v.34 no.2
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• pp.289-295
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• 2012

In this note we prove the space (A, ${\parallel}.{\parallel}$) is a Banach space and ${\parallel}ab{\parallel}{\leq}{\parallel}a{\parallel}{\parallel}b{\parallel}$ for $a,b{\in}A$ where $A:=\{a:=(a_t)_{t{\in}G}:{\sum}_{t{\in}G}{\parallel}a_t{\parallel}_t<{\infty}\}$, $G=\mathbb{N}^*$. Also we show some property in (A, ${\parallel}.{\parallel}$).

• The Pure and Applied Mathematics
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• v.14 no.4
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• pp.335-354
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• 2007

In this paper, we define an analogue of generalized Wiener measure and investigate its basic properties. We define (${\hat}It{o}$ type) stochastic integrals with respect to the generalized Wiener process and prove the ${\hat}It{o}$ formula. The existence and uniqueness of the solution of stochastic differential equation associated with the generalized Wiener process is proved. Finally, we generalize the linear filtering theory of Kalman-Bucy to the case of a generalized Wiener process.

• East Asian mathematical journal
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• v.21 no.2
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• pp.219-231
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• 2005

This paper investigates some results (Theorems 2.1-2.3, below) concerning certain classes of analytic and univalent functions, involving the familiar fractional derivative operators. We state interesting consequences arising from the main results by mentioning the cases connected with the starlikeness, convexity, close-to-convexity and quasi-convexity of geometric function theory. Relevant connections with known results are also emphasized briefly.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.73-82
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• 2016

The utility of exponential generating functions is that they are relevant for combinatorial problems involving sets and subsets. Sequences of polynomials play a fundamental role in applied mathematics, such sequences can be described using the exponential generating functions. The actuarial polynomials ${\alpha}^{({\beta})}_n(x)$, n = 0, 1, 2, ${\cdots}$, which was suggested by Toscano, have the following exponential generating function: $${\limits\sum^{\infty}_{n=0}}{\frac{{\alpha}^{({\beta})}_n(x)}{n!}}t^n={\exp}({\beta}t+x(1-e^t))$$. A linear functional on polynomial space can be identified with a formal power series. The set of formal power series is usually given the structure of an algebra under formal addition and multiplication. This algebra structure, the additive part of which agree with the vector space structure on the space of linear functionals, which is transferred from the space of the linear functionals. The algebra so obtained is called the umbral algebra, and the umbral calculus is the study of this algebra. In this paper, we investigate some umbral representations in the actuarial polynomials.

• Journal of Educational Research in Mathematics
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• v.11 no.2
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• pp.307-320
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• 2001

Traditionally, there are many inherent restrictions in highschool mathematics textbooks. They are restricted in its contents and inevitably resorted to reader's ability of intuition. So they are usually lacked logical precisions and have various differences in expressions. We are mainly concerned with the definite integral and its applications in current highschool mathematics II textbooks according to 6th curriculum. We choose 6 of them arbitrarily and survey by comparison to deduce some controversial topics among them as follows. 1) absurd metaphors in formula process 2) confusions in important notations and too much choices in terms and statements. 3) lack of precisions in - teaching hierarchy (between some contents of Physics and the applications of definite integral) - introducing a proof of theorem (fundamental theorem of Calculus I) - introducing the methods (integral substitutions 1, ll) 4) adopting small topics such as - mean value theorem of integral - integrals with variable limits. In coming 7th curriculum, highschool students in Korea are supposed to choose calculus as a whole, independent course. So we hope that the suggested controversial topics are to be referred by authors to improve the preceding Mathematics ll textbooks and for teachers to use them for better mathematics education.