• Title/Summary/Keyword: Type-function

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INTEGRAL REPRESENTATION OF SOME BLOCH TYPE FUNCTIONS IN ℂn

  • Choi, Ki Seong;Yang, Gye Tak
    • Journal of the Chungcheong Mathematical Society
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    • v.10 no.1
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    • pp.17-22
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    • 1997
  • Let B be the open unit ball in the complex space $\mathbb{C}^n$. A holomorphic function $f:B{\rightarrow}C$ which satisfies sup{(1- ${\parallel}\;{\nabla}_zf\;{\parallel}\;{\mid}z{\in}B$} < $+{\infty}$ is called Bloch type function. In this paper, we will find some integral representation of Bloch type functions.

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ASYMPTOTIC APPROXIMATION OF KERNEL-TYPE ESTIMATORS WITH ITS APPLICATION

  • Kim, Sung-Kyun;Kim, Sung-Lai;Jang, Yu-Seon
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.147-158
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    • 2004
  • Sufficient conditions are given under which a generalized class of kernel-type estimators allows asymptotic approximation on the modulus of continuity. This generalized class includes sample distribution function, kernel-type estimator of density function, and an estimator that may apply to the censored case. In addition, an application is given to asymptotic normality of recursive density estimators of density function at an unknown point.

SOME REMARKS ON THE GENERALIZED ORDER AND GENERALIZED TYPE OF ENTIRE MATRIX FUNCTIONS IN COMPLETE REINHARDT DOMAIN

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.4
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    • pp.811-824
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    • 2021
  • The main aim of this paper is to introduce the definitions of generalized order and generalized type of the entire function of complex matrices and then study some of their properties. By considering the concepts of generalized order and generalized type, we will extend some results of Kishka et al. [5].

A Preliminary Study of The Singer-Loomis Type Deployment Inventory for the Korean Version (싱어 루미스 심리 유형 검사의 한국판 제작을 위한 예비연구)

  • Hyoin Park
    • Sim-seong Yeon-gu
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    • v.28 no.2
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    • pp.139-153
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    • 2013
  • Psychological typology in analytic psychology is used not only for ascertaining the attitude or function of the conscious ego, but also as one blueprint for the individuation process. We all know the need to emphasize an awareness of the deployment and development of the superior function, the secondary function, the third function and the inferior function for the individuation process. This study has the goal of refining our awareness of this deployment and development of typological functions. The questionnaires of the Myers-Briggs Type Inventory and the Gray Wheelwrights Jungian Type Survey use the method of a forced-choice questionnaire, on the assumption of a bi-polarity hypothesis. But the questionnaire of the Singer-Loomis Type Deployment Inventory uses the Likert scale. It is able to show the deployment of the superior function, the secondary function, the third function and the inferior function visibly. It allows us to test the subject at stated periods for his/her development or change of psychological typology. The Singer-Loomis Type Deployment Inventory is a statistically superior method for showing Jung's psychological typology relative to both the Myers-Briggs Type Inventory and the Gray Wheelwrights Jungian Type Survey. I have studied how the original authors of The Singer-Loomis Type Deployment Inventory understood Jung's psychological typology. I produced the reliability and the item-discrimination power of the Korean Version of the Singer-Loomis Type Deployment Inventory. On the basis of this study, I produced the revised Korean version 1 of Singer-Loomis Type Deployment Inventory.

A Study on the Types of Social Networks of Housewives in Urban Nuclear Families (가족의 사회관계망 유형화 연구 - 도시 핵가족 주부를 중심으로 -)

  • 원효종;옥선화
    • Journal of Families and Better Life
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    • v.20 no.4
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    • pp.149-164
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    • 2002
  • The purpose of this study was to identify the types of social networks of urban housewives according to different network composition patterns and to analyze the structural and functional characteristics of identified types. The data used in this study were collected from 589 full-time housewives residing in Taejeon city. The major findings are as follows: 1) The social networks of housewives in urban nuclear families were classified into eight types: the kin network, the non-kin network, the kin-centered network, the friend-centered network, the neighbor-centered network, the associate-centered network, the parallel network, and the decentralized network. 2) The structual characteristics (size, density, homogeneity, duration, proximity, frequency, closeness, direction) varied according to the type. The kin network type and the non-kin network type showed extreme degrees in network characteristics. The parallel network type and the decentralized network type showed an average level of network characteristics. The kin-, friend-, neighbor-, and the associate-centered types showed network characteristics of an intermediate level between the single-category types and the decentralized type. 3) The average levels of function of social network types were different in only two(service support, interference) of the six function areas(emotional support, service support, material support, information support, social companionship support, interference). The average level of service support by the non-kin network type was higher than other types. The average level of interference by the kin-centered network type was higher than other types, and that of the neighbor-centered network type was lower than other types. On the other hand, the total amount of function performance of social network types was different in all function areas. The total amount of social support given by the decentralized network type was greater than the other types. The total amount of interference given by the non-kin network type was smaller than the other types.

ESTIMATION OF A MODIFIED INTEGRAL ASSOCIATED WITH A SPECIAL FUNCTION KERNEL OF FOX'S H-FUNCTION TYPE

  • Al-Omari, Shrideh Khalaf Qasem
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.125-136
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    • 2020
  • In this article, we discuss classes of generalized functions for certain modified integral operator of Bessel-type involving Fox's H-function kernel. We employ a known differentiation formula of Fox's H-function to obtain the definition and properties of the distributional modified Bessel-type integral. Further, we derive a smoothness theorem for its kernel in a complete countably multi-normed space. On the other hand, using an appropriate class of convolution products, we derive axioms and establish spaces of modified Boehmians which are generalized distributions. On the defined spaces, we introduce addition, convolution, differentiation and scalar multiplication and further properties of the extended integral.

A STUDY OF NEW CLASS OF INTEGRALS ASSOCIATED WITH GENERALIZED STRUVE FUNCTION AND POLYNOMIALS

  • Haq, Sirazul;Khan, Abdul Hakim;Nisar, Kottakkaran Sooppy
    • Communications of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.169-183
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    • 2019
  • The main aim of this paper is to establish a new class of integrals involving the generalized Galu$Galu{\grave{e}}$-type Struve function with the different type of polynomials such as Jacobi, Legendre, and Hermite. Also, we derive the integral formula involving Legendre, Wright generalized Bessel and generalized Hypergeometric functions. The results obtained here are general in nature and can deduce many known and new integral formulas involving the various type of polynomials.

Determination of Highway Design Speed Based on Reclassification of Highway Functions and Terrain Types (기능 재분류와 지형특성을 이용한 도로 설계속도 적정화 방안)

  • Shim, Kywan-Bho;Choi, Jai-Sung;Hwang, Kyung-Soo
    • Journal of Korean Society of Transportation
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    • v.23 no.6 s.84
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    • pp.7-18
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    • 2005
  • Currently, design speed selection is chosen by highway function, terrain type and area type. But some standards in classifing highway function let designer decide design speed in an arbitrary manner and too rough a highway function classification system leads to a road function which can not reflect road design, and some ambiguity of terrain type leads to a road which can not reflect land use pattern. Highway design based on traffic volume level without considering area type can result high construction cost. This research paper provides new highway design standards which are based on the refinement of highway design speed selection procedure. The new design speed is summarized to be determined by a more detailed highway function, terrain type, and area type that were made considering South Korean characteristics. The new highway function is established by adopting highway function reclassification and design volumes and rural town center reclassification and new design standards for terrain type selection are developed in this research by analyzing South Korean GIS Data Base obtained over the national government offices.

A Comparative Study of Software Reliability Model Considering Log Type Mean Value Function (로그형 평균값함수를 고려한 소프트웨어 신뢰성모형에 대한 비교연구)

  • Shin, Hyun Cheul;Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.10 no.4
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    • pp.19-27
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    • 2014
  • Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. Infinite failure NHPP software reliability models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, proposes the reliability model with log type mean value function (Musa-Okumoto and log power model), which made out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on mean square error (MSE) and coefficient of determination($R^2$), for the sake of efficient model, was employed. Analysis of failure using real data set for the sake of proposing log type mean value function was employed. This analysis of failure data compared with log type mean value function. In order to insurance for the reliability of data, Laplace trend test was employed. In this study, the log type model is also efficient in terms of reliability because it (the coefficient of determination is 70% or more) in the field of the conventional model can be used as an alternative could be confirmed. From this paper, software developers have to consider the growth model by prior knowledge of the software to identify failure modes which can be able to help.

Development and Analysis of Fuzzy Overall Equipment Effectiveness (OEE) in TPM (TPM에서 퍼지 OEE 모형의 개발 및 분석)

  • Choi, Sungwoon
    • Journal of the Korea Management Engineers Society
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    • v.23 no.4
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    • pp.87-103
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    • 2018
  • This paper introduces the method to develop two main types of the fuzzy OEE (Overall Equipment Effectiveness) models via triangular membership function for measuring uncertainty. The fuzzy OEE includes model type 1 and model type 2. The model type 1 is used when the theoretical machine speed only reflects the time loss whereas model type 2 is used when the actual machine speed reflects both time and speed loss. Model type 2 has shown to perform a lower availability rate and a higher performance rate compared to model type 1. In addition, the fuzzy UPH (Unit Per Hour) which is derived from using the fuzzy OEE is presented to satisfy demand uncertainty. The fuzzy UPH can easily measure the fuzzy tact time and cycle time by reciprocating itself. Finally, this study demonstrates the fuzzy OEE models using IVIFS (Interval-Valued Intuitionistic Fuzzy Set) based on the characterization via membership function, non-membership function and hesitant function. For the purpose of analyzing the fuzzy system OEE, the OEE for each machine of plant structure is considered triangular interval-valued intuitionistic fuzzy number. Regardless of plant structure, the validity degree of fuzzy membership function of system OEE decreases when the number of machine with worst value of the validity degree increases. Corresponding examples are presented in this paper for practitioner to understand the applicability and practicability of the proposed fuzzy OEE methods.