• 제목/요약/키워드: and function

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Analytical Formulation for the Everett Function

  • Hong, Sun-Ki;Kim, Hong-Kyu;Jung, Hyun-Kyo
    • Journal of Magnetics
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    • 제2권3호
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    • pp.105-109
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    • 1997
  • The Preisach model neds a density function or Everett function for the hysterisis operator to simulate the hysteresis phenomena. To obtain the function, many experimental data for the first order transition curves are required. However, it needs so much efforts to measure the curves, especially for the hard magnetic materials. By the way, it is well known that the density function has the Gaussian distribution for the interaction axis on the Preisach plane. In this paper, we propose a simple technique to determine the distribution function or Everett function analytically. The initial magnetization curve is used for the distribution of the Everett function for the coercivity axis. A major, minor loop and the initial curve are used to get the Everett function for the interaction axis using the Gaussian distribution function and acceptable results were obtained.

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CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION $X_2$

  • Choi, June-Sang;Hasanov, Anvar;Turaev, Mamasali
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제17권4호
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    • pp.347-354
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    • 2010
  • Exton [Hypergeometric functions of three variables, J. Indian Acad. Math. 4 (1982), 113~119] introduced 20 distinct triple hypergeometric functions whose names are $X_i$ (i = 1, ..., 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions $_oF_1$, $_1F_1$, a Humbert function ${\Psi}_2$, a Humbert function ${\Phi}_2$. The object of this paper is to present 16 (presumably new) integral representations of Euler type for the Exton hypergeometric function $X_2$ among his twenty $X_i$ (i = 1, ..., 20), whose kernels include the Exton function $X_2$ itself, the Appell function $F_4$, and the Lauricella function $F_C$.

그래픽 디스프레이에 적합한 Cosine, Sine함수 발생기 설계에 관한 연구 (A Study On the Design of Cosine, Sine Function Generator for the Display of Graphics)

  • 김용성
    • 정보학연구
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    • 제8권3호
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    • pp.1-10
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    • 2005
  • Cosine and Sine function is widely used for the arithmetic, translation, object drawing, Simulation and etc. of Computer Graphics in Natural Science and Engineering. In general, Cordic Algorithm is effective method since it has relatively small size and simple architecture on trigonometric function generation. However profitably it has those merits, the problem of operation speed is occurred. In graphic display system, the operation result of object drawing is quantized and has the condition that is satisfied with rms error less than 1. So in this paper, the proposed generator is composed of partition operation at each ${\pi}/4$ and basic Cosine, Sine function generator in the range of $0{\sim}{\pi}/4$ using the lower order of Tayler's series in an acceptable error range, that enlarge the range of $0{\sim}2{\pi}$ according to a definition of the trigonometric function for the purpose of having a high speed Cosine, Sine function generation. And, division operator using code partition for divisor three is proposed, the proposed function generator has high speed operation, but it has the problems in the other application parts with accurate results, is need to increase the speed of the multiplication.

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인터넷 쇼핑몰 구매경험자들의 고객만족도에 영향을 미치는 요인 (Factors that Influence Satisfaction of Shoppers Who have Internet Shopping Mall Experience.)

  • 김성언
    • 한국정보시스템학회지:정보시스템연구
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    • 제17권2호
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    • pp.27-47
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    • 2008
  • The base of an internet shopping mall is web application system. However, this mall is a market place where selling and buying of products and services take place. Therefore, it should be considered both a commerce function and a web site design function. The commerce function and the web site design function are considered as variables that influence trust and familiarity. This trust and familiarity are considered as the main factors that influence satisfaction of shoppers of internet shopping malls. Analysis indicates that the web site design function significantly influences both trust and familiarity, but the commerce function significantly influence only familiarity negatively. Also trust and familiarity significantly influence user satisfaction.

INEQUALITIES AND COMPLETE MONOTONICITY FOR THE GAMMA AND RELATED FUNCTIONS

  • Chen, Chao-Ping;Choi, Junesang
    • 대한수학회논문집
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    • 제34권4호
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    • pp.1261-1278
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    • 2019
  • It is well-known that if ${\phi}^{{\prime}{\prime}}$ > 0 for all x, ${\phi}(0)=0$, and ${\phi}/x$ is interpreted as ${\phi}^{\prime}(0)$ for x = 0, then ${\phi}/x$ increases for all x. This has been extended in [Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions, J. Math. Anal. Appl. 336 (2007), 812-822]. In this paper, we extend the above result to the very general cases, and then use it to prove some (logarithmically) completely monotonic functions related to the gamma function. We also establish some inequalities for the gamma function and generalize some known results.

기능블록 구성에 의한 공정제어 언어의 개발 (Development of a Process Control Language Using Function Block Configuration)

  • Byung Kook Kim
    • 전자공학회논문지B
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    • 제29B권8호
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    • pp.24-34
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    • 1992
  • A process control language is developed using function block configuration, to simplify software development for large scale process control systems, and to implement advanced control algorithms with ease. A function block parser and controller is implemented to be suitable for multi-loop control systems having hierachical structure. On-line change of controller parameter is possible, and inclusion of user defined function block is also possible. By adding plant model block, control performance can be checked in advance. Function blocks of the Smith Predicotor, auto-tuners are implemented to demonstrate usefulness of function block configuration.

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품질기능전개(品質機能展開)와 A. H. P기법(技法)을 이용(利用)한 기능평가(機能評價) (A Study on the Function Evaluation using Q. F. D and A. H. P)

  • 박노국;문희영;송문익
    • 품질경영학회지
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    • 제21권2호
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    • pp.85-92
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    • 1993
  • This study aimed at the improvement of the conventional methods of Velue Engineering Function Analysis, the most important phase of VE processes, through Quality Function Development and Analytic Hierarchy Process. This study was performed in both theory and study. In the theoretical study, the necessity and the fitness of the connection between VE and QC techniques were studied. The use of Function Requirement Coefficients in Quality Function Development makes the more objective Function Evaluation possible.

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LOG-SINE AND LOG-COSINE INTEGRALS

  • Choi, Junesang
    • 호남수학학술지
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    • 제35권2호
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    • pp.137-146
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    • 2013
  • Motivated essentially by their potential for applications in a wide range of mathematical and physical problems, the log-sine and log-cosine integrals have been evaluated, in the existing literature on the subject, in many different ways. The main object of this paper is to present explicit evaluations of some families of log-sine and log-cosine integrals by making use of the familiar Beta function.

ON A CERTAIN EXTENSION OF THE RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE OPERATOR

  • Nisar, Kottakkaran Sooppy;Rahman, Gauhar;Tomovski, Zivorad
    • 대한수학회논문집
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    • 제34권2호
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    • pp.507-522
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    • 2019
  • The main aim of this present paper is to present a new extension of the fractional derivative operator by using the extension of beta function recently defined by Shadab et al. [19]. Moreover, we establish some results related to the newly defined modified fractional derivative operator such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.

ON GEOMETRIC PROPERTIES OF THE MITTAG-LEFFLER AND WRIGHT FUNCTIONS

  • Das, Sourav;Mehrez, Khaled
    • 대한수학회지
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    • 제58권4호
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    • pp.949-965
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    • 2021
  • The main focus of the present paper is to present new set of sufficient conditions so that the normalized form of the Mittag-Leffler and Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disk. Interesting consequences and examples are derived to support that these results are better than the existing ones and improve several results available in the literature.