• 제목/요약/키워드: Function

검색결과 69,605건 처리시간 0.068초

INTEGRALS INVOLVING SPHEROIDAL WAVE FUNCTION AND THEIR APPLICATIONS IN HEAT CONDUCTION

  • Gupta, R.K.;Sharma, S.D.
    • Kyungpook Mathematical Journal
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    • 제18권2호
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    • pp.311-319
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    • 1978
  • This paper deals with the evaluation of two definite integrals involving spheroidal wave function, H-function of two variables, and the generalized hypergeometric function. Also, an expansion formula for the product of generalized hypergeometric function and the H-function of two variables has been obtained. Since the H-function of two variables, spheroidal wave functions, and the generalized hypergeometric function may be transformed into a number of higher transcendental functions and polynomials, the results obtained in this paper include some known results as their particular cases. As an application of such results, a problem of heat conduction in a non-homogenous bar has been solved by using the generalized Legendre transform [9].

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p-PRECONVEX SETS ON PRECONVEXITY SPACES

  • Min, Won-Keun
    • 호남수학학술지
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    • 제30권3호
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    • pp.425-433
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    • 2008
  • In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function, $p^*c$-convex function, pI-convex function and $p^*I$-convex function.

ZETA FUNCTIONS FOR ONE-DIMENSIONAL GENERALIZED SOLENOIDS

  • Yi, In-Hyeop
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권2호
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    • pp.141-155
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    • 2011
  • We compute zeta functions of 1-solenoids. When our 1-solenoid is nonorientable, we compute Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid and its orientable double cover explicitly in terms of adjacency matrices and branch points. And we show that Artin-Mazur zeta function of orientable double cover is a rational function and a quotient of Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid.

ON AN INTEGRAL INVOLVING Ī-FUNCTION

  • D'Souza, Vilma;Kurumujji, Shantha Kumari
    • 대한수학회논문집
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    • 제37권1호
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    • pp.207-212
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    • 2022
  • In this paper, an interesting integral involving the Ī-function of one variable introduced by Rathie has been derived. Since Ī-function is a very generalized function of one variable and includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the Ī function of one variable to simpler special functions by suitably specializing the parameters. A few special cases of our main results are also discussed.

OPTIMAL APPROXIMATION BY ONE GAUSSIAN FUNCTION TO PROBABILITY DENSITY FUNCTIONS

  • Gwang Il Kim;Seung Yeon Cho;Doobae Jun
    • East Asian mathematical journal
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    • 제39권5호
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    • pp.537-547
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    • 2023
  • In this paper, we introduce the optimal approximation by a Gaussian function for a probability density function. We show that the approximation can be obtained by solving a non-linear system of parameters of Gaussian function. Then, to understand the non-normality of the empirical distributions observed in financial markets, we consider the nearly Gaussian function that consists of an optimally approximated Gaussian function and a small periodically oscillating density function. We show that, depending on the parameters of the oscillation, the nearly Gaussian functions can have fairly thick heavy tails.

수산물 산지 중도매인 기능 변화에 관한 연구 (A Study of Middleman's Functions in Fisheries Port Market)

  • 장영수
    • 수산경영론집
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    • 제38권3호
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    • pp.89-108
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    • 2007
  • The purpose of the study are summarized as follows: First, it has researched the new functions of middleman in Fisheries Port Market. Second, the new functions which middleman have to perform in Fisheries Port Market consist of the origin function, marketing function, logistics function. The origin function consists of the discrimination of fish species and freshness, making the price by auction, financing, etc. Marketing function consists of various species assortment from not only fisheries port market but also non fisheries port market as frozen and import fish markets, finding the new selling markets as not broker but wholesaler, making the price and margin non through the action, processing, etc. Logistics function consist of fish stock, delivery Third, it has recognized the upcoming important problems by building up the new functions as middleman in Fisheries port Market. This study has used a questionnaire to verify 3 hypotheses. Research model, factor analysis, regression analysis. The result of this study are summarized as follows: The origin function influences positively on the effectiveness of middleman's performance in Fisheries port Market. Marketing function influences positively on the effectiveness of middleman's performance. However, logistics function did not directly influences on the effectiveness of middleman's performance.

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Correlations among the Continence Function, Cognitive Function and Activities of Daily Living in Elderly Male Patients with Dementia in a Geriatric Hospital

  • Kim, Hong Rae;Shin, Hee Joon;Wang, Joong San
    • 국제물리치료학회지
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    • 제7권1호
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    • pp.972-978
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    • 2016
  • The purpose of this study was to identify correlations among the continence function, cognitive function, and activities of daily living(ADL) in elderly male patients with dementia in geriatric hospitals. The subjects were 64 patients aged 65 or above who were diagnosed with dementia among the hospitalized male patients in a geriatric hospital. For the subjects' cognitive function, a questionnaire developed for the Korean Mini Mental Status Examination(K-MMSE) was used. For the continence function and ADL, data were collected using a patient evaluation table. As a result, a lower level of cognitive function resulted in corresponding higher levels of dependence in all items of ADL except bathing(p<.05), and a lower level of cognitive function led to corresponding declines in the continence function(bowel control, bladder control)(p<.01). In addition, a higher level of dependence in ADL resulted in corresponding higher levels of difficulty in bowel and bladder control(p<.01). This study showed correlations among the cognitive function, ADL, and continence function of elderly men with dementia. The results of this study may be used as basic data for the management and treatment of hospitalized elderly male patients with dementia in geriatric hospitals.

수면 무호흡과 수면이 기억기능에 미치는 영향 (The influence of sleep and sleep apnea on memory function)

  • 이성훈;이나영;박윤조;전덕인
    • 수면정신생리
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    • 제5권2호
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    • pp.177-184
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    • 1998
  • Objectives : Disturbance of sleep with or without sleep apnea may impair the memory function. Sleep deficiency, sleepiness, sleep apnea and emotional problem in sleep disorders can induce an impairment of memory function. Methods : In this study, the polysomnographies were administered to 58 sleep apnea patients and 38 sleep disorder patients without sleep apnea. Their clinical symptoms were quantitatively evaluated. Short term and long term memory were evaluated before and after polysom no graphy with Digit symbol test and Rey-Osterrieth complex figure test. And correlations among various sleep, repiratory and clinical variables were statistically studied in order to explore which variables may influence on memory function. Results and Conclusions : Results are as follows. Depth of sleep cis positively correlated with memory function. As sleep apnea increases and average saturation of blood oxygen decreases, memory function is more impaired. Emotional depression, high blood pressure, obesity or alcohol impaired memory function. However, daytime sleepiness was not significantly correlated with memory function. The possible mechanisms how above factors influence on the memory function were discussed.

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코사인 모듈화 된 가우스 활성화 함수를 사용한 캐스케이드 코릴레이션 학습 알고리즘의 성능 향상 (An Improvement of Performance for Cascade Correlation Learning Algorithm using a Cosine Modulated Gaussian Activation Function)

  • 이상화;송해상
    • 한국컴퓨터정보학회논문지
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    • 제11권3호
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    • pp.107-115
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    • 2006
  • 본 논문에서는 캐스케이드 코릴레이션 학습 알고리즘을 위한 새로운 클래스의 활성화 함수를 소개한다. 이 함수는 코사인으로 모듈화된 가우스 함수로서 편의상 이 활성화 함수를 코스가우스(CosGauss) 함수라고 칭하기로 한다. 이 함수는 기존의 시그모이드 함수(sigmoidal function), 하이퍼볼릭탄젠트 함수(hyperbolic tangent function), 가우스 함수(gaussian function)에 비해서 등성이(ridge)를 더 많이 얻을 수 있다. 이러한 등성이들로 인하여 빠른 속도로 수렴하고 패턴인식 속도를 향상 시켜서 학습 능력을 향상시킬 수 있다. 캐스케이드 코릴레이션 네트워크에 이 활성화 함수를 사용하여 중요한 기준 문제(benchmark problem)의 하나인 이중나선 문제(two spirals problem)에 대하여 실험하여 다른 활성화 함수들과 결과 값을 비교하였다.

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다중반응표면최적화를 위한 공정능력함수법에서 최소치최대화 기준의 활용에 관한 연구 (Using the Maximin Criterion in Process Capability Function Approach to Multiple Response Surface Optimization)

  • 정인준
    • 지식경영연구
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    • 제20권3호
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    • pp.39-47
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    • 2019
  • Response surface methodology (RSM) is a group of statistical modeling and optimization methods to improve the quality of design systematically in the quality engineering field. Its final goal is to identify the optimal setting of input variables optimizing a response. RSM is a kind of knowledge management tool since it studies a manufacturing or service process and extracts an important knowledge about it. In a real problem of RSM, it is a quite frequent situation that considers multiple responses simultaneously. To date, many approaches are proposed for solving (i.e., optimizing) a multi-response problem: process capability function approach, desirability function approach, loss function approach, and so on. The process capability function approach first estimates the mean and standard deviation models of each response. Then, it derives an individual process capability function for each response. The overall process capability function is obtained by aggregating the individual process capability function. The optimal setting is given by maximizing the overall process capability function. The existing process capability function methods usually use the arithmetic mean or geometric mean as an aggregation operator. However, these operators do not guarantee the Pareto optimality of their solution. Moreover, they may bring out an unacceptable result in terms of individual process capability function values. In this paper, we propose a maximin-based process capability function method which uses a maximin criterion as an aggregation operator. The proposed method is illustrated through a well-known multiresponse problem.