• Title/Summary/Keyword: Integration of Functions

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INTEGRATION OF BICOMPLEX VALUED FUNCTION ALONG HYPERBOLIC CURVE

  • Chinmay Ghosh;Soumen Mondal
    • Korean Journal of Mathematics
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    • v.31 no.3
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    • pp.323-337
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    • 2023
  • In this paper, we have defined bicomplex valued functions of bounded variations and rectifiable hyperbolic path. We have studied the integration of product-type bicomplex valued functions on rectifiable hyperbolic path. Also we have established bicomplex analogue of the Fundamental Theorem of Calculus for hyperbolic line integral.

Further Results on Characteristic Functions Without Contour Integration

  • Song, Dae-Kun;Kang, Seul-Ki;Kim, Hyoung-Moon
    • Communications for Statistical Applications and Methods
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    • v.21 no.5
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    • pp.461-469
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    • 2014
  • Characteristic functions play an important role in probability and statistics; however, a rigorous derivation of these functions requires contour integration, which is unfamiliar to most statistics students. Without resorting to contour integration, Datta and Ghosh (2007) derived the characteristic functions of normal, Cauchy, and double exponential distributions. Here, we derive the characteristic functions of t, truncated normal, skew-normal, and skew-t distributions. The characteristic functions of normal, cauchy distributions are obtained as a byproduct. The derivations are straightforward and can be presented in statistics masters theory classes.

Study on the Execution of Green Logistics and Supply Chain Integration for by 3PL for Manufacturing Companies (3PL을 활용한 제조기업 공급사슬통합 및 녹색물류 실행을 위한 실증적 연구)

  • Lim, Janghyuk;Han, Young-Geun
    • Journal of the Korea Safety Management & Science
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    • v.15 no.4
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    • pp.233-243
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    • 2013
  • As companies were concerned with developing green logistics and environment, most logistics concerned functions like packaging, loading, storage, transportation and IT studies are active in study. Even if active in research studies, companies still recognized that logistics cost increases as green concepts are applied. For the efficient execution of green logistics management, it is absolutely necessary but difficult to build an optimal logistics system where each function is smoothly interacted through the proper integration and the link of various logistics functions and partners. This study aims to development of green logistics through integration of supply chain functions and partners. With this aim of study, case studies with analysis of embodiment, planning and operations for supply chain of companies are carried out.

RIEMANN-STIELTJES INTEGRATION OF FUNCTIONS OF $\textsc{k}{\phi}-BOUNDED$ VARIATIONS

  • JAEKEUN PARK
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.545-553
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    • 1997
  • By using the decreasing rearrangement of nonoverlapping subintervals of a closed bounded intervals and L.C.young's series for two ø-sequences we obtain some results concerning Riemann-Stieltijes integrals of functions of $\textsc{k}{\phi}-bounded$ variations.

INTEGRATION STRUCTURES FOR THE OPERATOR-VALUED FEYNMAN INTEGRAL

  • Jefferies, Brian
    • Journal of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.349-363
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    • 2001
  • The analytic in mass operator-valued Feynman integral is related to integration with respect to unbounded set functions formed from the semigroup obtained by analytic continuation of the heat semigroup and the spectral measure of multiplication by characteristics functions.

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Integration of History-based Parametric CAD Model Translators Using Automation API (오토메이션 API를 사용한 설계 이력 기반 파라메트릭 CAD 모델 번역기의 통합)

  • Kim B.;Han S.
    • Korean Journal of Computational Design and Engineering
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    • v.11 no.3
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    • pp.164-171
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    • 2006
  • As collaborative design and configuration design are of increasing importance in product development, it becomes essential to exchange the feature and parametric CAD models among participants. A history-based parametric method has been proposed and implemented. But each translator which exchanges the feature and parametric information tends to be heavy because to implement duplicated functions such as the identification of the selected geometries, mapping between features which have different attributes. Furthermore. because the history-based parametric translator uses the procedural model as the neutral format, which is the XML macro file, the history-based parametric translators need a geometric modeling kernel to generate an internal explicit geometric model. To ease the problem, we implemented a shared integration platform, the TransCAD. The TransCAD separates translators from the XML macro files. The translators for various CAD systems need to communicate with only the TransCAD. To support the communication with the TransCAD, we exposed the functions of the TransCAD by using the Automation APIs, which is developed by Microsoft. The Automation APIs of the TransCAD consist of the part modeling functions, the data extraction functions, and the utility functions. Each translator uses these functions to translate a parametric CAD model from the sending CAD system into the XML format, or from the in format into the model of the receiving CAD system This paper introduces what the TransCAD is and how it works for the exchange of the feature and parametric models.

Optimal Basis Functions for Siegert Resonance State Representation in Al2 Electronic Predissociation

  • Jang, Hyo Weon
    • Journal of the Korean Chemical Society
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    • v.57 no.2
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    • pp.172-175
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    • 2013
  • We compare the relative usefulness of common basis functions and numerical integration methods in representing complex resonance state encountered in the molecular scattering problem of aluminum dimer electronic predissociation. Specifically, the basis set size and computing CPU times are monitored in order to find the minimum requirement for ensuring the modest accuracy of calculated resonance energies (0.1 $cm^{-1}$) for more than 100 resonance states. The combination of the so-called one-dimensional box eigenfunctions and energy-dependent boundary functions are found to be most efficient if integration is done using the basis set quadrature rules.

WISEMAN(Weapon system information Integration for System Engineering and Management) - An Information Integration System for System Engineering (효과적인 시스템엔지니어링 추진을 위한 정보통합시스템(WISEMAN) 개발 및 적용사례)

  • Park, Sam Joon;Oh, Hyung Geun;Kim, Hyung Joon;Han, Sang Chul;Kim, Jong Bok
    • Journal of the Korean Society of Systems Engineering
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    • v.2 no.2
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    • pp.11-20
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    • 2006
  • For systematic and effective achievement of Military R&D(Research and Development) processes and activities, information system which supports the concept of Systems Engineering is necessary. WISEMAN(Weapon System Information Integration for System Engineering and Management) is an information integration system, which can provide various kinds of interrelated application functions and assist the collaboration and concurrent engineering activities for weapon system R&D processes and activities. WISEMAN can manage the design information and configuration data of the target development products. It takes charge of the processes and histories about the product data, makes to share all the design information, and provides important application functions for R&D processes such as requirement management, product structure management, parts Management, documents and CAD drawing management, design change management, TDP(Technical Data Package) management etc., and in conjunction with these functions WISEMAN controls various effectivities of system configurations based on baselines and model information. WISEMAN has been used by ADD and Rotem Co. since developed.

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Interface element method (IEM) for a partitioned system with non-matching interfaces (일치하지 않는 경계를 갖는 분리된 시스템을 위한 계면 요소법)

  • Kim, Hyun-Gyu
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.324-329
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    • 2001
  • A novel method for non-matching interfaces on the boundaries of the finite elements in partitioned domains is presented by introducing interface elements in this paper. The interface element method (IEM) satisfies the continuity conditions exactly through interfaces without recourse to the Lagrange multiplier technique. The moving least square (MLS) approximation in the present study is implemented to construct the shape functions of the interface elements. Alignment of the boundaries of sub-domains in the MLS approximation and integration domains provides a consistent numerical integration due to one form of rational functions in an integration domain. The compatibility of displacements on the boundaries of the finite elements and the interface elements is always preserved in this method, and the completeness of the shape functions of the interface elements guarantees the convergence of numerical solutions. The numerical examples show that the interface element method is a useful tool for the analysis of a partitioned system and for a global-local analysis.

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An Information Modeling Methodolgy for CIM (통합생산을 위한 생산정보 모델에 관한 연구)

  • Kim, Cheol-Han;Kim, Kwang-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.17 no.2
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    • pp.115-129
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    • 1991
  • An ecconomically competitive automated manufacturing system integrates the various control processes and data used in design, manufacturing, sale and service of products. CIM is a way to achieve such integration through computers and computational techniques in design, planning, and manufacturing. Developing effective CIM architectures is hampered by integration problems. The key to resolving these problems lies in a better understanding of manufacturing function and how it is related to other manufacturing functions. Integration of CIM environment requires coordinated solutions to data management problems for individual application system as well as for exchange of data between these applications. This requires a common framework for data management throughout the CIM environment. This paper discusses the design paradigm as a framework for this purpose. Designing an organizational structure to meet those goals involves 1) analyzing the functions through functional decomposition, 2) developing a data model to coordinate functions. As a result, we propose an object-oriented design methodology for manufacturing information system.

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