• Title/Summary/Keyword: many variables

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NEW TRANSFORMATIONS FOR HYPERGEOMETRIC FUNCTIONS DEDUCIBLE BY FRACTIONAL CALCULUS

  • Kim, Yong Sup
    • 대한수학회논문집
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    • 제33권4호
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    • pp.1239-1248
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    • 2018
  • Recently, many authors have obtained several hypergeometric identities involving hypergeometric functions of one and multi-variables such as the Appell's functions and Horn's functions. In this paper, we obtain several new transformations suitably by applying the fractional calculus operator to these hypergeometric identities, which was introduced recently by Tremblay.

IN INTEGRAL TRANSFORM INVOLVING TWO GENERALISED H-FUNCTIONS

  • Sharma, S.D.
    • Kyungpook Mathematical Journal
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    • 제19권1호
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    • pp.119-125
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    • 1979
  • In the present paper we study a new integral transform whose kernel involves the product of two H-functions of two complex variables. Next, we establish an inversion formula for this new transform. On account of very general nature of its kernel, several other integral transforms studies earlier by many research workers viz., Bose (1952), Mukherji (1962), Nigam (1963), Rathie (1965), Singh (1969), Mittal & Goel (1973), and Gupta, Garg & Kalla (1975), follow as its particular cases.

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ON THE FRACTIONAL PARTIAL DERIVATIVE AND IT'S APPLICATION

  • Owa, Shigeyoshi
    • Kyungpook Mathematical Journal
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    • 제20권1호
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    • pp.77-82
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    • 1980
  • There are many definitions of the fractional derivative. It is purpose of this paper to show some results which were got for fractional partial derivative of functions of two variables and to give an application of the fractional partial derivative.

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A RECURSIVE ALGORITHM TO INVERT MULTIBLOCK CIRCULANT MATRICES

  • Baker, J.;Hiergeist, F.;Trapp, G.
    • Kyungpook Mathematical Journal
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    • 제28권1호
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    • pp.45-50
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    • 1988
  • Circulant and multiblock circulant matrices have many important applications, and therefore their inverses are of considerable interest. A simple recursive algorithm is presented to compute the inverse of a multiblock circulant matrix. The algorithm only uses complex variables, roots of unity and normal matrix/vector operations.

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環境因子의 空間分析을 통한 南韓지역의 山林植生帶 구분/지리정보시스템(GIS)에 의한 접근 (Classification of Forest Vegetation Zone over Southern Part of Korean Peninsula Using Geographic Information Systems)

  • Lee, Kyu-Sung;Byong-Chun Lee;Joon Hwan Shin
    • The Korean Journal of Ecology
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    • 제19권5호
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    • pp.465-476
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    • 1996
  • There are several environmental variables that may be influential to the spatial distribution of forest vegetation. To create a map of forest vegetation zone over southern part of Korean Peninsula, digital map layers were produced for each of environmental variables that include topography, geographic locations, and climate. In addition, an extensive set of field survey data was collected at relatively undisturbed forests and they were introduced into the GIS database with exact coordinates of survey sites. Preliminary statistical analysis on the survey data showed that the environmental variables were significantly different among the previously defined five forest vegetation zones. Classification of the six layers of digital map representing environmental variables was carried out by a supervised classifier using the training statistics from field survey data and by a clustering algorithm. Although the maps from two classifiers were somewhat different due to the classification procedure applied, they showed overall patterns of vertical and horizontal distribution of forest zones. considering the spatial contents of many ecological studies, GIS can be used as an important tool to manage and analyze spatial data. This study discusses more about the generation of digital map and the analysis procedure rather than the outcome map of forest vegetation zone.

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수리 변수들이 대수층 내의 담수 해수 - 확산대의 형성에 미치는 영향에 대한 정량적 분석 (Quantitative Analysis for the Effects of Hydraulic Variables on the Formation of Freshwater-Saltwater Transition Zones in Aquifers)

  • 박남식
    • 물과 미래
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    • 제28권2호
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    • pp.137-143
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    • 1995
  • 해안 대수층 내에서 담수와 해수 사이에 형성되는 확산대의 위치와 형태는 많은 변수들에 의하여 영향을 받는다. 현재까지 수행된 많은 연구는 확산대들의 정성적 비교로 국한되었다. 본 연구에서는 정량적 분석을 위하여 확산대 특성(최대 침투 길이, 두께, 성층 정도)을 계량화하고 수치 모형을 이용하여 주요 변수(유속과 확산지수)가 확산대 특성에 미치는 영향을 고찰하였다. 차원해석을 통하여 정리된 실험 결과는 유속과 확산지수가 확산대의 특성에 미치는 영향을 명확히 규명하였다. 유속의 증가는 확산계수를 증가시키기 때문에 확산대가 팽창한다는 일부의 주장과는 달리 확산대는 축소하는 것으로 밝혀졌다.

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The Role of Negative Binomial Sampling In Determining the Distribution of Minimum Chi-Square

  • Hamdy H.I.;Bentil Daniel E.;Son M.S.
    • International Journal of Contents
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    • 제3권1호
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    • pp.1-8
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    • 2007
  • The distributions of the minimum correlated F-variable arises in many applied statistical problems including simultaneous analysis of variance (SANOVA), equality of variance, selection and ranking populations, and reliability analysis. In this paper, negative binomial sampling technique is employed to derive the distributions of the minimum of chi-square variables and hence the distributions of the minimum correlated F-variables. The work presented in this paper is divided in two parts. The first part is devoted to develop some combinatorial identities arised from the negative binomial sampling. These identities are constructed and justified to serve important purpose, when we deal with these distributions or their characteristics. Other important results including cumulants and moments of these distributions are also given in somewhat simple forms. Second, the distributions of minimum, chisquare variable and hence the distribution of the minimum correlated F-variables are then derived within the negative binomial sampling framework. Although, multinomial theory applied to order statistics and standard transformation techniques can be used to derive these distributions, the negative binomial sampling approach provides more information regarding the nature of the relationship between the sampling vehicle and the probability distributions of these functions of chi-square variables. We also provide an algorithm to compute the percentage points of the distributions. The computation methods we adopted are exact and no interpolations are involved.

만성 류마티스 환자의 일상생활 활동과 심리적 요인과의 관계 (Relationship of Activity of Daily Living(ADL) and Psychological Factors in Rheumatoid Arthritis)

  • 김종임;김인자
    • 기본간호학회지
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    • 제2권2호
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    • pp.155-168
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    • 1995
  • Many arthritis patients experience physical and psychological impairment. The influence psychological factors on physical functioning beyond disease & demographic factors has been investigated. Unlike others studied the relationship between just two variables (i. e., depression & helplessness or self-efficacy & depression), the relationships among several variables such as depression, helplessness and self-efficacy were examined altogether. Foully-two patients were examined to identify the relationship between the variables. It was found that ADL is significantly negatively related to depression and helplessness, and positively related to self-efficacy. And ADL was more strongly correlated with self-efficacy and helplessness than depression. Contrary to ADL, pain was significantly negatively related to self-efficacy, and positively related to depression and helplessness. Then stepwise regression analysis was performed to identify the variables to predict ADL. It revealed that helplessness was the only significant predictor of ADL. Finally, it is suggested that the inclusion of the method to increase self-efficacy & to decrease helplessness in any nursing intervention is very important.

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유한요소법에 의한 선형모터의 설계 변수 최적화 (Optimization of the design variables of linear motor by FEM)

  • 신수현;이상룡;정재한
    • 대한기계학회논문집A
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    • 제26권7호
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    • pp.1232-1240
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    • 2002
  • Recently, linear motors are applied to many small precision products. Thus high generating power with small size is required of it. In order to increase the motor efficiency, the design variables need to be optimized. In this study, Vector Fields FEM software, OPERA-3d, was used for simulating linear motor. The thrust and magnetic flux density at the air-gap center were simulated and compared with the experimental results. Taguchi method was applied to investigate the effects of each variables. As a result, the thickness of conductor and magnet was important for the thrust but the thickness of the yoke. The temperature of the conductor was determined by finding the thermal conductivity that was determined by experimentation. Correlation equation relating to the thrust and temperature was proposed by Latin square and Least Square method. The optimum design variables were determined by correlation equation, and compared with simulation results. According to this analysis, thrust force of linear motor was improved about 7% comparing with conventional model.

스마트폰의 수용의도에 영향을 미치는 요인에 관한 연구 (Study on factors affecting acceptance intention of smartphone - Focused on TAM Model -)

  • 노영;이경근
    • 디지털산업정보학회논문지
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    • 제8권4호
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    • pp.273-288
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    • 2012
  • In recent years, smartphone is the most widely used ubiquitous functionality. People do not want to just call other people any more by using a cellular phone; they want to connect to the Internet and use various applications. Hence, cellular phones need to become smart. A smartphone has an operating system and many applications. Specifically the goals of this research are; (1) to suggest theory framework of acceptance about smartphone based on TAM, (2) to examine relationships between exogenous variables. The research model and hypotheses were developed based on the theories of technology acceptance model. Questionnaire was used to collect data. The analysis of this study is designed as individual level to examine the causal relationship among variables. The the reliability and validity of data was tested by explanatory factor analysis, Cronbach's alpha coefficient, confirmatory factor analysis, and correlation analysis. Also, the structural equation model(SEM) analysis was performed to test the usefulness of the model. The analysis results revealed that social norms and individual innovation are major influential variables on the perceived usefulness of smartphone. Also, social norms are influential variables on the perceived enjoyment of smartphone.