• Title/Summary/Keyword: Generating Functions

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ANALYTIC PROPERTIES OF THE q-VOLKENBORN INTEGRAL ON THE RING OF p-ADIC INTEGERS

  • Kim, Min-Soo;Son, Jin-Woo
    • Bulletin of the Korean Mathematical Society
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    • v.44 no.1
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    • pp.1-12
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    • 2007
  • In this paper, we consider the q-Volkenborn integral of uniformly differentiable functions on the p-adic integer ring. By using this integral, we obtain the generating functions of twisted q-generalized Bernoulli numbers and polynomials. We find some properties of these numbers and polynomials.

An Intelligent Measuring and inspection System On the Machine Tools (온더머신 지능형 측정 및 검사시스템)

  • 김경돈
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1996.10a
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    • pp.101-106
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    • 1996
  • Interactive Measuring part Program Generating Tools (IMPPGT) realized on the FANUC 15MA using touch trigger probes and interactive macro functions os the CNC were developed for an intelligent measuring and inspection systems on the machine tools. Menu driven measuring and inspection functions of the IMPPGT were studied and implemented on the CNC through the macro executer and ROM writer. In order to automate measurement and inspection procedures in machine shops measuring G Code system was also proposed. Using the developed measuring G Code system on the machine tool untended measurement and inspection operation was able to be realized in FMS lines.

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LINEAR EXTENSIONS OF DIAMOND POSETS

  • Ju, Hyeong-Kwan;Seo, Seunghyun
    • Honam Mathematical Journal
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    • v.41 no.4
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    • pp.863-870
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    • 2019
  • In this paper, we obtain the enumeration results on the number of linear extensions of diamond posets. We find the recurrence relations and exponential generating functions for the number of linear extensions of diamond posets. We also get some results for the volume of graph polytope associated with bipartite graphs which are underlying graphs of diamond posets.

RETRIAL QUEUEING SYSTEM WITH COLLISION AND IMPATIENCE

  • Kim, Jeong-Sim
    • Communications of the Korean Mathematical Society
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    • v.25 no.4
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    • pp.647-653
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    • 2010
  • We consider an M/M/1 retrial queue with collision and impatience. It is shown that the generating functions of the joint distributions of the server state and the number of customers in the orbit at steady state can be expressed in terms of the confluent hypergeometric functions. We find the performance characteristics of the system such as the blocking probability and the mean number of customers in the orbit.

An Adaptive Neuro-Fuzzy System Using Fuzzy Min-Max Networks (퍼지 Min-Max 네트워크를 이용한 적응 뉴로-퍼지 시스템)

  • 곽근창;김성수;김주식;유정웅
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.367-367
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    • 2000
  • In this paper, an Adaptive neuro-fuzzy Inference system(ANFIS) using fuzzy min-max network(FMMN) is proposed. Fuzzy min-max network classifier that utilizes fuzzy sets as pattern classes is described. Each fuzzy set is an aggregation of fuzzy set hyperboxes. Here, the proposed method transforms the hyperboxes into gaussian membership functions, where the transformed membership functions are inserted for generating fuzzy rules of ANFIS. Finally, we applied the proposed method to the classification problem of iris data and obtained a better performance than previous works.

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CERTAIN NEW EXTENSION OF HURWITZ-LERCH ZETA FUNCTION

  • KHAN, WASEEM A.;GHAYASUDDIN, M.;AHMAD, MOIN
    • Journal of applied mathematics & informatics
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    • v.37 no.1_2
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    • pp.13-21
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    • 2019
  • In the present research paper, we introduce a further extension of Hurwitz-Lerch zeta function by using the generalized extended Beta function defined by Parmar et al.. We investigate its integral representations, Mellin transform, generating functions and differential formula. In view of diverse applications of the Hurwitz-Lerch Zeta functions, the results presented here may be potentially useful in some related research areas.

Development of 3-D Field Grid Generating Method for Viscous Flow Calculation around a Practical Hull Form (선체주위의 점성유동 계산을 위한 3차원 공간 격자계 생성방법)

  • Wu-Joan Kim;Do-Hyun Kim;Suak-Ho Van
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.1
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    • pp.70-81
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    • 1999
  • To predict the viscous boundary layers and wakes around a ship, the CFD techniques are commonly used. For the efficient application of CFD tools to practical hull farms, a 3-D field grid generating system is developed. The present grid generating system utilizes the solution of Poisson equation. Sorenson's method developed for 2-D is extended into 3-D to provide the forcing functions controling grid interval and orthogonality on hull surface, etc. The weighting function scheme is used for the discretization of the Poisson equation and the linear equations are solved by using MSIP salver. The trans-finite interpolation is also employed to assure the smooth transition into boundary surface grids. To rove the applicability, the field grid systems around a container ship and a VLCC with bow and stem bulb are illustrated, and the procedures for generating 3-D field grid system are explained.

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A study on the Product Function Deployment Method (제품 기능 전개 방법에 관한 연구)

  • Lee, Eon-Gyeong;Park, Seon-Ju;Gang, Dal-Mo;Ha, Seong-Do
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.4
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    • pp.55-63
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    • 2001
  • This paper describes a methodology of product function deployment for understanding product functions and generating systematic functional relation charts. The product function deployment is based on the designer's understanding of product functions. The method involves following steps: 1) definition of product primary function and flows of energy, material, and information, 2) construction of a product tree using key parts, 3) definition of functions and interactions of the functional units, 4) construction of 'from-to' relation matrices, 5) grouping of the parts, and 6) construction of functional relation charts. With this approach, functional relation charts can be generated such that complex product functions are easily understood. The functional relation chart of a refrigerator is generated as an example.

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Combinatorial continuous non-stationary critical excitation in M.D.O.F structures using multi-peak envelope functions

  • Ghasemi, S. Hooman;Ashtari, P.
    • Earthquakes and Structures
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    • v.7 no.6
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    • pp.895-908
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    • 2014
  • The main objective of critical excitation methods is to reveal the worst possible response of structures. This goal is accomplished by considering the uncertainties of ground motion, which is subjected to the appropriate constraints, such as earthquake power and intensity limit. The concentration of this current study is on the theoretical optimization aspect, as is the case with the majority of conventional critical excitation methods. However, these previous studies on critical excitation lead to a discontinuous power spectral density (PSD). This paper introduces some critical excitations which contain proper continuity in frequency domain. The main idea for generating such continuous excitations stems from the combination of two continuous functions. On the other hand, in order to provide a non-stationary model, this paper attempts to present an appropriate envelope function, which unlike the previous envelope functions, can properly cover the natural earthquakes' accelerograms based on multi-peak conditions. Finally, the proposed method is developed into the multiple-degree-of-freedom (M.D.O.F) structures.