• 호남수학학술지
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• 제33권2호
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• pp.187-206
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• 2011

The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권2호
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• pp.141-145
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• 2014

In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function ${\psi}^{\prime}(t)$ on (0, ${\infty}$).

• 대한수학회보
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• 제61권1호
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• pp.135-145
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• 2024

We consider a function-field analogue of Dirichlet series associated with the Goldbach counting function, and prove that it can, or cannot, be continued meromorphically to the whole plane. When it cannot, we further prove the existence of the natural boundary of it.

• 대한수학회논문집
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• 제12권2호
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• pp.293-303
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• 1997

The existence theorem for the operator valued function space integral has been studied, when the wave function was in $L_1(R)$ class and the potential energy function was represented as a double integra [4]. Johnson and Lapidus established the existence theorem for the operator valued function space integral, when the wave function was in $L_2(R)$ class and the potential energy function was represented as an integral involving a Borel measure [9]. In this paper, we establish the existence theorem for the operator valued function we establish the existence theorem for the operator valued function space integral as an operator from $L_1(R)$ to $L_\infty(R)$ for certain potential energy functions which involve double integrals with some Borel measures.

• 한국통신학회논문지
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• 제29권3C호
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• pp.368-373
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• 2004

초광대역 (UWB) 신호의 정밀한 시간 해상도는 실내 환경에서의 위치추적 등, 다양한 응용을 가능하게 하는 동시에, 사간 오차에 대한 감도가 매우 높아지는 등, 시스템 설계 시 기술적 어려움을 주기도 한다. 신호의 시간 해상도를 평가하는 유용한 방법 중 하나는 신호의 ambiguity function을 평가하는 것이다. 이 논문에서는 기존의 ambiguity function과는 달리 시간 오차와 시간 스케일링 인자를 두 변수로 하여 펄스 방식의 UWB 신호를 위한 ambiguity function을 정의하였고, 임펄스 라디오 (impulse radio)의 송수신 방식에 따른 UWB ambiguity function을 평가하여 시스템의 타이밍과 관련된 이슈들을 논하였다.

• East Asian mathematical journal
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• 제35권1호
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• pp.23-30
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• 2019

Since Mittag-Leffler introduced the so-called Mittag-Leffler function, a number of its extensions have been investigated due mainly to their applications in a variety of research subjects. Shukla and Prajapati presented a lot of formulas involving a generalized Mittag-Leffler function in a systematic manner. Motivated mainly by Shukla and Prajapati's work, we aim to investigate a generalized multi-index Mittag-Leffler function and, among possible numerous formulas, choose to present several formulas involving this generalized multi-index Mittag-Leffler function such as a recurrence formula, derivative formula, three integral transformation formulas. The results presented here, being general, are pointed out to reduce to yield relatively simple formulas including known ones.

• Kyungpook Mathematical Journal
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• 제64권1호
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• pp.95-111
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• 2024

The filled function method is useful in solving unconstrained global optimization problems. However, depending on the type of function, and parameters used, there are limitations that cause difficultiies in implemenations. Exponential and logarithmic functions lead to the overflow effect, requiring iterative adjustment of the parameters. This paper proposes a polynomial-filled function that has a general form, is non-exponential, nonlogarithmic, non-parameteric, and continuously differentiable. With this newly proposed filled function, the aforementioned shortcomings of the filled function method can be overcome. To confirm the superiority of the proposed filled function algorithm, we apply it to a set of unconstrained global optimization problems. The data derived by numerical implementation shows that the proposed filled function can be used as an alternative algorithm when solving unconstrained global optimization problems.

• 정보보호학회논문지
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• 제17권4호
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• pp.47-52
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• 2007

본 논문에서는 파이프 해쉬 함수를 가진 동적 파이프 해쉬 함수를 제안한다. 안전도를 높이기 위하여, 압축함수를 추가하여 파이프 기반 동적 해쉬 함수를 제안하였다. 제안한 동적 파이프 해쉬 함수는 다중충돌공격에 안전하고 압축 사이즈를 가변할 수 있기 때문에 많은 장점을 가지고 있다. 예를 들어, 디지털 서명 프로토콜에서 사용자가 보다 큰 키 사이즈를 선택하여 높은 안전도를 요구한다면, 동적 해쉬 함수를 사용하여 압축사이즈를 증가시켜 쉽게 실현할 수 있다.

• 대한가정학회지
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• 제50권6호
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• pp.77-87
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• 2012

The purpose of this study is to investigate the influence of the mentoring function and mentor trust on the intention to reparticipate in the mentoring program, focusing on university students in fashion related departments. To achieve the purpose, research was conducted through a survey questionnaire. The questionnaire data from 223 university students in fashion related departments who experienced mentoring programs were analyzed. SPSS 18.0 and AMOS 7.0 statistical packages were used to investigate a structural model and test research hypotheses. The results derived from the analysis of the questionnaire survey were summarized as follows. First, the result showed that the mentoring function was composed of three factors: a sensitivity developmental function, psychosocial function, and fashion career developmental function. Second, the sensitivity developmental function, psychosocial function, and fashion career developmental function positively affected mentor trust. Third, the sensitivity developmental function positively affected the intention to reparticipate in the mentoring program, while the psychosocial function and fashion career developmental function did not influence the intention to reparticipate in the mentoring program. Fourth, mentor trust positively influenced the intention to reparticipate in the mentoring program. The results of the current study would be useful for the professor and university administrator who would like to establish a mentoring program in a fashion related department, by exploring the relation of mentoring function, mentor trust and the intention to reparticipate in the mentoring program.

• Journal of Nutrition and Health
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• 제31권9호
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• pp.1457-1467
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• 1998

The relationship between cognitive function and dietary patterns in Korean elderly women was investigated in this study. Twenty-four-hour dietary recall and cognitive function tests were performed in 170 elderly women aged over 60 years. Average age of the subjects was 71 years and the average number of family members was 3.3. Most of the subjects had less than seven years of education and their monthly income was much lower than the Korean average. Most of the subjects engaged in regular exercise and did not indulge in drinking and smoking. The average cognitive function score of the subjects was 58.4. Most of the subjects appeared to consume insufficient amount of food ; average intakes of energy, Ca, iron, vitamin A, and riboflavin were lower than RDA for the elderly. Cognitive function score was positively related to education level and regularity of exercise. Also, cognitive function score had a strong relationship with food intake such as total amounts of foods, fish and shellfish, milk and dairy products, total animal food, fruit, bread and sugar. Energy, protein, Ca, p, riboflavin, and niacin were also shown to have positive relationships to cognitive function score, while carbohydrate caloric ratio had a negative relationship with cognitive function. According to the results of multiple regression analysis, factors that most influenced on cognitive function were education level and riboflavin intake. The subjects who had more than seven years of education had significantly higher cognitive function scores than those with no school education. And cognitive function scores f3r those who consumed more than 2/3 of the RDA for most nutrients were significantly higher than the ones fir the subjects who consumed less than 2/3 of the RDA. These results suggest that proper education and adequate nutrient intake in quantity and quality by achieving food diversity are essential in maintaining cognitive function in later life (Korean J Nutrition 31(9) : 1457-1467, 1998)