• 대한수학회논문집
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• 제31권1호
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• pp.115-129
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• 2016

Fractional calculus operators have been investigated by many authors during the last four decades due to their importance and usefulness in many branches of science, engineering, technology, earth sciences and so on. Saigo et al. [9] evaluated the fractional integrals of the product of Appell function of the third kernel $F_3$ and multivariable H-function. In this sequel, we aim at deriving the generalized fractional differentiation of the product of Appell function $F_3$ and multivariable H-function. Since the results derived here are of general character, several known and (presumably) new results for the various operators of fractional differentiation, for example, Riemann-Liouville, $Erd\acute{e}lyi$-Kober and Saigo operators, associated with multivariable H-function and Appell function $F_3$ are shown to be deduced as special cases of our findings.

• Journal of Chest Surgery
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• 제23권2호
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• pp.333-341
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• 1990

aortoiliac pattern, Group II; femoropopliteal pattern and Group g; tibioperoneal pattern. A majority of patients belonged to group I [27 cases], 8 patients came under group II .and none in group g. Thirty patients underwent bypass operation with autogenous saphenous vein or synthetic graft with or without concomitant lumbar sympathectomy. Remaining 5 patients were operated on with sympathectomy only, Bypass procedures were anatomic bypass in 22 cases: aortoiliac artery bypass in 11 cases, femoropopliteal artery bypass in 10 cases, sequential femoropopliteal artery bypass in one case and extra-anatomic bypass in 8 cases, axillary-bifemoral artery bypass in one case and femorofemoral artery bypass in 7 cases. Postoperative complications which mainly composed of superficial wound infection[5 cases] which were treated without any significant sequel in all cases and thrombosis[2 cases]. Three patients died whose causes of death were acute renal failure in 2 cases and myocardial infarction in other, The overall patency, rate was 70Zo in 5 years. In conclusion, the clinical pattern and operative outcome were similar to he western pattern and all cases of death did not related to operative procedures and ischemic symptoms were relieved by bypass operations except several cases. I think and recommend that all patients suffering chronic arterial insufficiency by atherosclerosis obliterans ought to be managed with urgent and adequate operative procedure.

• 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.

• 대한수학회보
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• 제51권4호
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• pp.995-1003
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• 2014

A remarkably large number of integral formulas involving a variety of special functions have been developed by many authors. Also many integral formulas involving various Bessel functions have been presented. Very recently, Choi and Agarwal derived two generalized integral formulas associated with the Bessel function $J_{\nu}(z)$ of the first kind, which are expressed in terms of the generalized (Wright) hypergeometric functions. In the present sequel to Choi and Agarwal's work, here, in this paper, we establish two new integral formulas involving the generalized Bessel functions, which are also expressed in terms of the generalized (Wright) hypergeometric functions. Some interesting special cases of our two main results are presented. We also point out that the results presented here, being of general character, are easily reducible to yield many diverse new and known integral formulas involving simpler functions.

• 만화애니메이션 연구
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• 통권16호
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• pp.21-32
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• 2009

본 연구는 2003년부터 2008년까지 한국에서 개봉된 애니메이션 영화들을 분석대상으로 하여 해당 영화의 흥행성과에 영향을 미치는 요인들을 고찰하고자 한다. 종속변수는 전국 총관객수이다. 총관객수에 영향을 미치는 요인이 무엇인지 고찰하기 위해 독립변인은 배급사 파워, 개봉스크린 규모, 개봉시점, 속편형태, 수상실적, 영화의 국적 및 등급, 그리고 전문가 평점과 네티즌의 온라인평점으로 설정되었다. 회귀분석 결과에서 전국 관객수에 유의미한 영향력을 미치는 변수는 개봉스크린 규모, 할리우드직배사의 배급, 여름시즌 개봉, 그리고 네티즌 평점이다. 본 연구는 한국 영화시장에서 애니메이션 흥행성과에 대한 분석을 시도했다는 점에서 의의를 찾을 수 있을 것이다.

• 대한수학회보
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• 제45권4호
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• pp.663-670
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• 2008

In this paper, the aim is to solve the neutral delay differential equations in the following form using multiquadric approximation scheme, (1) $$\{_{\;y(t)\;=\;{\phi}(t),\;\;\;\;\;t\;{\leq}\;{t_1},}^{\;y'(t)\;=\;f(t,\;y(t),\;y(t\;-\;{\tau}(t,\;y(t))),\;y'(t\;-\;{\sigma}(t,\;y(t)))),\;{t_1}\;{\leq}\;t\;{\leq}\;{t_f},}$$ where f : $[t_1,\;t_f]\;{\times}\;R\;{\times}\;R\;{\times}\;R\;{\rightarrow}\;R$ is a smooth function, $\tau(t,\;y(t))$ and $\sigma(t,\;y(t))$ are continuous functions on $[t_1,\;t_f]{\times}R$ such that t-$\tau(t,\;y(t))$ < $t_f$ and t - $\sigma(t,\;y(t))$ < $t_f$. Also $\phi(t)$ represents the initial function or the initial data. Hence, we present the advantage of using the multiquadric approximation scheme. In the sequel, presented numerical solutions of some experiments, illustrate the high accuracy and the efficiency of the proposed method even where the data points are scattered.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2005년도 제36회 하계학술대회 논문집 D
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• pp.2876-2878
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• 2005

In this paper, we propose Genetic Algorithms(GAs)-based Optimal Polynomial Neural Networks(PNN). The proposed algorithm is based on Group Method of Data Handling(GMDH) method and its structure is similar to feedforward Neural Networks. But the structure of PNN is not fixed like in conventional Neural Networks and can be generated. The each node of PNN structure uses several types of high-order polynomial such as linear, quadratic and modified quadratic, and is connected as various kinds of multi-variable inputs. The conventional PNN depends on experience of a designer that select No. of input variable, input variable and polynomial type. Therefore it is very difficult a organizing of optimized network. The proposed algorithm identified and selected No. of input variable, input variable and polynomial type by using Genetic Algorithms(GAs). In the sequel the proposed model shows not only superior results to the existing models, but also pliability in organizing of optimal network. The study is illustrated with the ACI Distance Relay Data for application to power systems.

• 한국통신학회논문지
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• 제31권7C호
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• pp.725-734
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• 2006

이 논문의 1부에 이어, 수신안테나 다양성을 쓰는 직접수열 부호분할 다중접속(direct-sequence code division multiple access: DS/CDMA) 시스템에서 의사잡음(pseudonoise: PN) 부호를 획득할 때 평균값(cell average: CA), 큰값(greatest of: GO), 작은값(smallest of: SO) 일정 오경보 확률(constant false alarm rate: CFAR) 처리기의 성능 특성을 비균질 (nonhomogeneous) 잡음 환경에서 얻고 견주어 본다. 균질 잡음 환경에서와는 다르게, 비균질 잡음 환경에서는 큰값 일정 오경보 확률 처리기가 가장 성능이 좋고, 평균값 일정 오경보 확률 처리기가 그 다음으로 성능이 좋다는 것을 볼 수 있다.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
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• pp.149-151
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• 2005

In this paper, we propose the Optimal Polynomial Neural Networks(PNN) for nonlinear process. The PNN is based on Group Method of Data Handling(GMDH) method and its structure is similar to feedforward Neural Networks. But the structure of PNN is not fixed like in conventional Neural Networks and can be generated. The each node of PNN structure uses several types of high-order polynomial such as linear, quadratic and modified quadratic, and is connected as various kinds of multi-variable inputs. The conventional PNN depends on experience of a designer that select No. of input variable, input variable and polynomial type. Therefore it is very difficult a organizing of optimized network. The proposed algorithm identified and selected No. of input variable, input variable and polynomial type by using Genetic Algorithms(GAs). In the sequel the proposed model shows not only superior results to the existing models, but also pliability in organizing of optimal network. Medical Imaging System(MIS) data is simulated in order to confirm the efficiency and feasibility of the proposed approach in this paper.

• 한국수학교육학회지시리즈A:수학교육
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• 제6권2호
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• pp.1-9
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• 1968

In mathematics, a definition must have authentic reasons to be defined so. On defining geometric figures, there must be adequencies in sequel and consistency in the concepts of figures, though the dimensions of them are different. So we can avoid complicated thoughts from the study of geometric property. From the texts of SMSG, UICSM and others, we can find easily that the same concepts are not kept up on defining some figures such as ray and segment on a line, angle and polygon on a plane, and polyhedral angle and polyhedron on a 3-dimensionl space. And the measure of angle is not well-defined on basis of measure theory. Moreover, the concepts for interior, exterior, and frontier of each figure used in these texts are different from those of general topology and algebraic topology. To avoid such absurdness, I myself made new terms and their definitions, such as 'gan' instead of angle, 'polygonal region' instead of polygon, and 'polyhedral solid' instead of polyhedron, where each new figure contains its interior. The scope of this work is hmited to the fundamental idea, and it merely has dealt with on the concepts of measure, dimension, and topological property. In this case, the measure of a figure is a set function of it, so the concepts of measure is coincided with that of measure theory, and we can deduce the topological property for it from abstract stage. It also presents appropriate concepts required in much clearer fashion than traditional method.