• 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.

• 호남수학학술지
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• 제45권2호
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• pp.184-197
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• 2023

For the numerous uses and significance of the Whittaker function in the diverse research areas of mathematical sciences and engineering sciences, This paper aims to introduce an extension of the Whittaker function by using a new extended confluent hypergeometric function of the first kind in terms of the Mittag-Leffler function. We also drive various valuable results like integral representation, integral transform and derivative formula. Further, we also analyze specific known results as a particular case of the main result.

• 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.

• 대한간호학회지
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• 제23권4호
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• pp.678-693
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• 1993

The purposes of this study were to describe the level of vision and hearing impairments, depression and functional capacity, among Korean institutionalized elderly and to examine the relation-ship between sensory impairments, depression, and functional capacity in these people. The final pupose was to test the cognitive function path model using sensory competencies as predictors. A convenience sample of thirty nine male and 90 female subjects with a mean age of 80.5 were the subjects of this study. The subjects were tested for cognitive function, and vision and hearing impairments. Physical function and social function were measured by observation of designated task performance by the subjects. Their level of de-pression was measured using a Geriatric Depression Scale administered through an interview. Individual subjective ratings of hearing and vision were marked by the subjects, on a ladder scale. The results of the study showed that 48.8% of the subjects had a hearing impairment, 63.5% had a vision impairement, and 36.4% had both a vision and hearing impairement. The four sensory groups (no sensory impairement, hearing impairement, vision impairement, hearing and vision impairement) were tested for differences in depression, physical function, social behavior and cognitive function. The only significant difference that was found was in cognitive function, between the no sensory impairement group and the hearing and vision impairement group(F=3.25, P<.05), Subjective ratings of hearing showed a significant correlation with cognitive function(r=.34, p<.001) and with social behavior(r=.31, p<.001). There was no correlation between subjective vision ratings and cognitive function or social behavior. However there was a significant correlation between vision and hearing(r=.49, p<.001). There was also a significant negative correlation between age and vision(r=-.21, p<.01) and between age and hear-ing(r=-.34, p<.001). There was a significant correlation between depression and physical function (r=-.32, p<.001) but there was no correlation between depression and cognitive function or social behavior. Based on the literature review and the result, this study, a path model of sensory competence-> cognitive function- >social behavior was developed and tested : Perceived vision and perceived hearing were the exogenous variahles and cognitive function and social behavior were the endogeneous variables in the model. The path analysis result demonstrated an accept-able fit (GFI=.997, AGFI=.972, X$^2$=.72 (p=.396), RMSR=.019) between the data and the model. There was a significant direct effect($\beta$=.38) of perceived hearing on cognitive function. There was a significant direct effect ($\beta$=.32) of cognitive function on social behavior. The total effect of hearing on social behavior was $\beta$=.32 including the indirect effect ($\beta$=.12) . However perceived vsion had little effect ($\beta$=-.08) on cognitive function. The result of path analysis confirms that hearing levels influence cognitive function, and both hearing and cognitive function levels influence social behavior. However, vision has little effect on cognitive function or on social behavior. For the next study, a combined model of the pre viously developed environment - >depression- > physical and social function model, and the present cognitive function model, should be tested to further refine the functional capacity model. There also a need for longitudinal study of functional capacity and sencory competence in order to better understand how declining sensory competence influences functional capacity and how it effects in-creasing dependency and nursing needs in the elderly.

• 혜화의학회지
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• 제23권2호
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• pp.23-32
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• 2015

Objective : The purpose of this study was to examine the level of the cognitive function, and to identify the influencing factors on cognitive function in women cancer patients receiving chemotherapy. This study attempted to provide basic data useful to development of nursing intervention and improve the quality of life in women cancer patients. Methods : As a cross-sectional descriptive study, women with receiving chemotherapy above one cycle were recruited. One hundred and twenty-five women cancer patients who met the study criteria agreed to participate in the study. The questionnaire set consisted of cognitive function, quality of life, depression, anxiety and information on demographic and clinical characteristics. Results : There was no statistically significant difference in clinical characteristics according to the cognitive function. The cognitive function was higher the more low age (F=9.937, p<.001), and the more high education level (F=12.332, p<.001). Multiple regression analysis showed the predictors were significantly related to cognitive function. age, education, and the number of chemotherapy explained 31.8% of the cognitive function. Conclusions : This result of this study provides basic information about factors influencing cognitive function, although study findings are insufficient in explaining related variables among women cancer patients. Even though women cancer patients were receiving chemotherapy, this study showed that the level of cognitive function was high. In order to receive better results and findings the period decreasing cognitive function, further studies are need to measure cognitive function according to the passage of time during or after chemotherapy.

• Computers and Concrete
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• 제21권2호
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• pp.181-187
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• 2018

In order to solve the life prediction problem of damaged coating steel bar in magnesium cement concrete, this study tries to establish the marginal distribution function by using the corrosion current density as a single degradation factor. Representing the degree of steel corrosion, the corrosion current density were tested in electrochemical workstation. Then based on the Copula function, the joint distribution function of the damaged coating was established. Therefore, it is indicated that the corrosion current density of the bare steel and coated steel bar can be used as the boundary element to establish the marginal distribution function. By using the Frank-Copula function of Copula Archimedean function family, the joint distribution function of the damaged coating steel bar was successfully established. Finally, the life of the damaged coating steel bar has been lost in 7320d. As a new method for the corrosion of steel bar under the multi-dimensional factors, the two-dimensional Copula function has certain practical significance by putting forward some new ideas.

• 한국건설관리학회논문집
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• 제7권3호
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• pp.102-111
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• 2006

건설 VE Job plan의 진행단계 중 초기 단계인 기능분석에서 핵심이라 할 수 있는 기능정의의 정확성은 VE 성과와 직결된다. 그러나 현재 사용되고 있는 기능정의의 방법은 정확한 정의와 이해가 이루어지지 않거나 활용방법에 어려움이 따라 체계적으로 수행하지 못하는 경우가 많으며 VE 대상 선정에 있어 기능에 대한 정의가 명확하게 이루어지지 않아 기능정의 후 기능정리 단계에서 각 기능들간의 유기적 연결에 어려움이 발생하는 경우가 많다. 이에 본 연구에서는 기능정의를 보다 명확하게 하여 차후 기능정리에서 발생하는 문제점을 보완하여 보다 나은 기능분석 단계를 유도할 수 있도록 하기 위한 CAFAT(Combined Antithetic Function Analysis Technique)을 제안하고자 한다.

• 대한수학회논문집
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• 제33권2호
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• pp.549-560
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• 2018

Since Mittag-Leffler introduced the so-called Mittag-Leffler function in 1903, due to its usefulness and diverse applications, a variety and large number of its extensions (and generalizations) and variants have been presented and investigated. In this sequel, we aim to introduce a new extension of the Mittag-Leffler function by using a known extended beta function. Then we investigate ceratin useful properties and formulas associated with the extended Mittag-Leffler function such as integral representation, Mellin transform, recurrence relation, and derivative formulas. We also introduce an extended Riemann-Liouville fractional derivative to present a fractional derivative formula for a known extended Mittag-Leffler function, the result of which is expressed in terms of the new extended Mittag-Leffler functions.

• 지역사회간호학회지
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• 제22권4호
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• pp.377-388
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• 2011

Purpose: This study was to examine the relation between diabetes and cognitive function in older adults. Methods: Eighty community-dwelling patients with diabetes and 506 subjects without diabetes were studied with cognitive function test. Cognitive function was measured by Full-scale IQ, Basic IQ, Executive IQ, Attention Function Index, Working Memory Index, Language Function Index, Visuospatial Function Index, Memory Function Index, and MMSE-K1. Results: In model controlling for education, the diabetic group showed significantly lower scores than the non-diabetic group in in Full-scale IQ (p=.012), Basic IQ (p=.034), Executive IQ (p=.014), Attention Function Index (p=.002), Working Memory Index (p=.037), and Memory Function Index (p=.043). The diabetic and non-diabetic groups that were matched for gender, age, and education showed similar differences in 7 out of 9 cognitive measures. The impairments of Full-scale IQ and Memory Function Index in the diabetic group were, respectively, 2.7 and 2.8 times greater than that in the diabetic group. Conclusion: These results showed that diabetes should be considered to a factor of cognitive impairment in older adults.

• Journal of Advanced Marine Engineering and Technology
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• 제39권4호
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• pp.478-482
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• 2015

본 논문에서는 winding function이론을 이용하여 플럭스 스위칭 전동기의 토크 계산에 대하여 기술하였다. 먼저 플럭스 스위칭 전동기의 토크 리플을 줄이기 위하여 기존의 전동기 모델에서 회전자 형상을 최적화한 새로운 플럭스 스위칭 전동기를 제시였고, 유한요소해석을 통하여 최적화된 전동기의 토크 리플의 감소를 확인하였다. 그리고 Winding function 이론을 이용한 시뮬레이션 결과와 유한요소해석 결과를 비교 검토하였다. 또한 최적화된 플럭스 스위칭 전동기와 구동 실험 장치를 제작하였고, winding function 이론을 이용한 토크 특성 해석 결과와 실험결과를 비교한 결과로부터 winding function 이론을 이용한 해석 방법의 가능성을 확인하였다.