• 제목/요약/키워드: various function

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EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Choi, Junesang;Rathie, Arjun K.;Parmar, Rakesh K.
    • 호남수학학술지
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    • 제36권2호
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    • pp.357-385
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    • 2014
  • Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions. Here we aim at giving further extensions of the abovementioned extended functions and investigating various formulas for the further extended functions in a systematic manner. Moreover, our extension of the Beta function is shown to be applied to Statistics and also our extensions find some connections with other special functions and polynomials such as Laguerre polynomials, Macdonald and Whittaker functions.

다양한 지지면에서 균형운동이 경직성 뇌성마비 양하지마비 아동의 대동작기능 및 균형능력에 미치는 효과 (The Effect of Balance Exercise on Various Support Surfaces on the Gross Motor Function and Balance Ability of Children with Cerebral Palsy)

  • 이은정;송주민
    • 대한물리의학회지
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    • 제7권3호
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    • pp.357-365
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    • 2012
  • Purpose : The present study has been performed to find the effects on gross motor function and balance ability of applying a balance exercise program consisting of motions able to stimulate balance-related sensory systems on various support surfaces along with goal-oriented upper extremity tasks to enhance the balance ability. Methods : 10children diagnosed as having spastic diplegia were selected as the subject for this study, of whom 5children were randomly assigned to a control group (CG) and the remainder to a balance exercise group (BEG) to perform the upper extremity task on various support surfaces. Each intervention was executed 30minutes per session with 2sessions a week for 12weeks. To make comparisons before and after intervention, gross motor function measure; standing; demention D(GMFM;D), walking/running/jumping ;demention E (GMFM;E) and pediatric balance scale (PBS) were evaluated. Results : The CG showed a significant difference (p<.05) in GMFM;E. BEG showed a significant difference (p<.05) in GMFM;D as well as GMFM;E and in PBS before and after intervention. BEG showed a significant improvement (p<.05) in GMFM;D and the PBS compared with the CG whereas it did not indicate any statistically significant difference in GMFM;E. Conclusion : According to the results of this study, it has been shown that a balance exercise accompanied by upper extremity task on various support surfaces had an effect on improvement in the gross motor function and the balance ability of children with spastic diplegic cerebral palsy.

초광대역 Ambiguity Function에 관한 연구 (On the Ultra-Wideband Ambiguity Function)

  • 이준용
    • 한국통신학회논문지
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    • 제29권3C호
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    • pp.368-373
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    • 2004
  • 초광대역 (UWB) 신호의 정밀한 시간 해상도는 실내 환경에서의 위치추적 등, 다양한 응용을 가능하게 하는 동시에, 사간 오차에 대한 감도가 매우 높아지는 등, 시스템 설계 시 기술적 어려움을 주기도 한다. 신호의 시간 해상도를 평가하는 유용한 방법 중 하나는 신호의 ambiguity function을 평가하는 것이다. 이 논문에서는 기존의 ambiguity function과는 달리 시간 오차와 시간 스케일링 인자를 두 변수로 하여 펄스 방식의 UWB 신호를 위한 ambiguity function을 정의하였고, 임펄스 라디오 (impulse radio)의 송수신 방식에 따른 UWB ambiguity function을 평가하여 시스템의 타이밍과 관련된 이슈들을 논하였다.

ANALYSIS OF AN EXTENDED WHITTAKER FUNCTION AND ITS PROPERTIES

  • Nabiullah Khan;Saddam Husain;M. Iqbal Khan
    • 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.

Airway Mucus: Its Components and Function

  • Lillehoj, Erik-P.;Kim, K.-Chul
    • Archives of Pharmacal Research
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    • 제25권6호
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    • pp.770-780
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    • 2002
  • The airway surface liquid (ASL), often referred to as mucus, is a thin layer of fluid covering the luminal surface of the airway. The major function of mucus is to protect the lung through mucociliary clearance against foreign particles and chemicals entering the lung. The mucus is comprised of water, ions, and various kinds of macromolecules some of which possess the protective functions such as anti-microbial, anti-protease, and anti-oxidant activity. Mucus glycoproteins or mucins are mainly responsible for the viscoelastic property of mucus, which is crucial for the effective mucociliary clearance. There are at least eight mucin genes identified in the human airways, which will potentially generate various kinds of mucin molecules. At present, neither the exact structures of mucin proteins nor their regulation are understood although it seems likely that different types of mucins are involved in different functions and might also be associated with certain airway diseases. The fact that mucins are tightly associated with various macromolecules present in ASL seems to suggest that the defensive role of ASL is determined not only by these individual components but rather by a combination of these components. Collectively, mucins in ASL may be compared to aircraft carriers carrying various types of weapons in defense of airborne enemies.

CONSTRUCTION OF MANY d-ALGEBRAS

  • Allen, Paul J.
    • 대한수학회논문집
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    • 제24권3호
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    • pp.361-366
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    • 2009
  • In this paper we consider constructive function triples on the real numbers $\mathbb{R}$ and on (not necessarily commutative) integral domains D which permit the construction of a multitude of d-algebras via these constructive function triples. At the same time these constructions permit one to consider various conditions on these d-algebras for subsets of solutions of various equations, thereby producing geometric problems and interesting visualizations of some of these subsets of solutions. In particular, one may consider what notions such as "locally BCK" ought to mean, certainly in the setting provided below.

국내 소프트웨어 개발사업에 적합한 기능점수규모 예측방법에 관한 연구 (A Study on Estimating Function Point Count of Domestic Software Development Projects)

  • 박찬규;신수정;이현옥
    • 경영과학
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    • 제20권2호
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    • pp.179-196
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    • 2003
  • Function point model is the international standard method to measure the software size which is one of the most important factors to determine the software development cost. Function point model can successfully be applied only when the detailed specification of users' requirements is available. In the domestic public sector, however, the budgeting for software projects is carried out before the requirements of softwares ere specified in detail. Therefore, an efficient function point estimation method is required to apply function point model at the early stage of software development projects. The purpose of this paper is to compare various function point estimation methods and analyse their accuracies in domestic software projects. We consider four methods : NESMA model, ISBSG model, the simplified function point model and the backfiring method. The methods are applied to about one hundred of domestic projects, and their estimation errors are compared. The results can used as a criterion to select an adequate estimation model for function point counts.

GENERATING FUNCTIONS OF (p, q)-ANALOGUE OF ALEPH-FUNCTION SATISFYING TRUESDELL'S ASCENDING AND DESCENDING Fp,q-EQUATION

  • ALTAF A. BHAT;M. YOUNUS BHAT;H. MAQBOOL;D.K. JAIN
    • Journal of applied mathematics & informatics
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    • 제41권2호
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    • pp.373-386
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    • 2023
  • In this paper we have obtained various forms of (p, q)-analogue of Aleph-Function satisfying Truesdell's ascending and descending Fp,q-equation. These structures have been employed to arrive at certain generating functions for (p, q)-analogue of Aleph-Function. Some specific instances of these outcomes as far as (p, q)-analogue of I-function, H-function and G-functions have likewise been obtained.

Better Estimators of Multiple Poisson Parameters under Weighted Loss Function

  • Kim, Jai-Young
    • 한국국방경영분석학회지
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    • 제11권2호
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    • pp.69-82
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    • 1985
  • In this study, we consider the simultaneous estimation of the parameters of the distribution of p independent Poisson random variables using the weighted loss function. The relation between the estimation under the weighted loss function and the case when more than one observation is taken from some population is studied. We derive an estimator which dominates Tsui and Press's estimator when certain conditions hold. We also derive an estimator which dominates the maximum likelihood estimator(MLE) under the various loss function. The risk performances of proposed estimators are compared to that of MLE by computer simulation.

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SOME EXPLICIT PROPERTIES OF (p, q)-ANALOGUE EULER SUM USING (p, q)-SPECIAL POLYNOMIALS

  • KANG, J.Y.
    • Journal of applied mathematics & informatics
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    • 제38권1_2호
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    • pp.37-56
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    • 2020
  • In this paper we discuss some interesting properties of (p, q)-special polynomials and derive various relations. We gain some relations between (p, q)-zeta function and (p, q)-special polynomials by considering (p, q)-analogue Euler sum types. In addition, we derive the relationship between (p, q)-polylogarithm function and (p, q)-special polynomials.