• 제목/요약/키워드: Special functions

검색결과 849건 처리시간 0.024초

AN ELEMENTARY COMPUTATION OF HANKEL MATRICES ON THE UNIT DISC

  • Chung, Young-Bok
    • 호남수학학술지
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    • 제43권4호
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    • pp.691-700
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    • 2021
  • In this paper, we compute directly the Hankel matrix representation of the Hankel operator on the Hardy space of the unit disc without using any classical kernel functions with respect to special orthonormal bases for the Hardy space and its orthogonal complement. This gives an elementary proof for the formula.

발포스펀지 의자시트의 진동전달 특성 (Vibration transfer characteristic of foaming sponge chair seat)

  • 김성환;강화중;김태균;문덕홍
    • 동력기계공학회지
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    • 제16권1호
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    • pp.24-29
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    • 2012
  • Recently, in the movie theater, the special chair is installed to maximize the viewing effect of movies. It is structured to convey a vibrational stimulus to a specially-designated parts of human body by attaching a vibration transducer to a existing theater chair. This paper describes the analysis of the vibration transfer characteristic of a foaming sponge seat for the design of the special chair. We could not apply the structural analysis S/W because it is difficult to obtain the mechanical properties and damping coefficients of the various type sponges. And then we computed the transfer functions by the global curve fitting program based on experimental modal analysis. The experimental response results comparatively coincide with those by the global curve fitting program. We also could obtain the natural frequencies, the modal damping coefficient ratio, the modal vectors and the whole transfer functions. Therefore we could analyze the dynamic characteristic for design of foaming sponge seat.

그래프 중간표현 형태를 기반으로 한 병렬 프로그래밍 환경 (A Parallel Programming Environment using Graph Type Intermediate Representation Form)

  • 이원용;박두순
    • 인터넷정보학회논문지
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    • 제2권4호
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    • pp.69-81
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    • 2001
  • 본 논문에서는 사용자의 병렬 프로그램 작성을 도와주는 병렬 프로그래밍 환경을 제공한다. 병렬 프로그램은 다양한 하드웨어의 특성에 따라 또는 프로그램의 특성에 따라 사용자가 병렬 프로그램을 작성하여야 하기 때문에 프로그래머는 병렬프로그램을 작성하는 것이 매우 어렵다. 본 논문에서는 사용자가 쉽게 프로그램을 작성할 수 있도록 하기 위하여 많은 병렬 화 연구에서 제시되고 있는 그래프 중간 표현 형태를 그래프 사용자 인터페이스로 구현하였다. 이 병렬 환경에서는 프로그램 편집기능, 종속성 분석기능, 루프 변환기능, CFG, PDG, HTG 등 중간 코드를 그래프 중간 표현 형태를 통해 보여 줌으로 사용자에게 병렬화, 최적화 작업에 용이하도록 한다.

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Iterative-R: A reliability-based calibration framework of response modification factor for steel frames

  • Soleimani-Babakamali, Mohammad Hesam;Nasrollahzadeh, Kourosh;Moghadam, Amin
    • Steel and Composite Structures
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    • 제42권1호
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    • pp.59-74
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    • 2022
  • This study introduces a general reliability-based, performance-based design framework to design frames regarding their uncertainties and user-defined design goals. The Iterative-R method extracted from the main framework can designate a proper R (i.e., response modification factor) satisfying the design goal regarding target reliability index and pre-defined probability of collapse. The proposed methodology is based on FEMA P-695 and can be used for all systems that FEMA P-695 applies. To exemplify the method, multiple three-dimensional, four-story steel special moment-resisting frames are considered. Closed-form relationships are fitted between frames' responses and the modeling parameters. Those fits are used to construct limit state functions to apply reliability analysis methods for design safety assessment and the selection of proper R. The frameworks' unique feature is to consider arbitrarily defined probability density functions of frames' modeling parameters with an insignificant analysis burden. This characteristic enables the alteration in those parameters' distributions to meet the design goal. Furthermore, with sensitivity analysis, the most impactful parameters are identifiable for possible improvements to meet the design goal. In the studied examples, it is revealed that a proper R for frames with different levels of uncertainties could be significantly different from suggested values in design codes, alarming the importance of considering the stochastic behavior of elements' nonlinear behavior.

The Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

  • Deniz, Erhan;Orhan, Halit
    • Kyungpook Mathematical Journal
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    • 제50권1호
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    • pp.37-47
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    • 2010
  • In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function f(z) defined on the open unit disk for which $\frac{(1-{\alpha})z(D^m_{{\lambda},{\mu}}f(z))'+{\alpha}z(D^{m+1}_{{\lambda},{\mu}}f(z))'}{(1-{\alpha})D^m_{{\lambda},{\mu}}f(z)+{\alpha}D^{m+1}_{{\lambda},{\mu}}f(z)}$ ${\alpha}{\geq}0$) lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives is obtained. The motivation of this paper is to generalize the Fekete-Szeg$\ddot{o}$ inequalities obtained by Srivastava et al., Orhan et al. and Shanmugam et al., by making use of the generalized differential operator $D^m_{{\lambda},{\mu}}$.

FMS 스케쥴링을 위한 Priority 함수의 자동 생성에 관한 연구

  • 김창욱;신호섭;장성용;박진우
    • 한국시뮬레이션학회:학술대회논문집
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    • 한국시뮬레이션학회 1997년도 춘계 학술대회 발표집
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    • pp.93-99
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    • 1997
  • Most of the past studies on FMS scheduling problems may be classified into two classes, namely off-line scheduling and on-line scheduling approach. The off-line scheduling methods are used mostly for FMS planning purposes and may not be useful real time control of FMSs, because it generates solutions only after a relatively long period of time. The on-line scheduling methods are used extensively for dynamic real-time control of FMSs although the performance of on-line scheduling algorithms tends vary dramatically depending on various configurations of FMS. Current study is about finding a better on-line scheduling rules for FMS operations. In this study, we propose a method to create priority functions that can be used in setting relative priorities among jobs or machines in on-line scheduling. The priority functions reflect the configuration of FMS and the user-defined objective functions. The priority functions are generated from diverse dispatching rules which may be considered a special priority functions by themselves, and used to determine the order of processing and transporting parts. Overall system of our work consists of two modules, the Priority Function Evolution Module (PFEM) and the FMS Simulation Module (FMSSM). The PFEM generates new priority functions using input variables from a terminal set and primitive functions from a function set by genetic programming. And the FMSSM evaluates each priority function by a simulation methodology. Based on these evaluated values, the PFEM creates new priority functions by using crossover, mutation operation and probabilistic selection. These processes are iteratively applied until the termination criteria are satisfied. We considered various configurations and objective functions of FMSs in our study, and we seek a workable solution rather than an optimum or near optimum solution in scheduling FMS operations in real time. To verify the viability of our approach, experimental results of our model on real FMS are included.

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Integral Formulas Involving Product of Srivastava's Polynomials and Galué type Struve Functions

  • Suthar, Daya Lal;Andualem, Mitku
    • Kyungpook Mathematical Journal
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    • 제59권4호
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    • pp.725-734
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    • 2019
  • The aim of this paper is to establish two general finite integral formulas involving the product of Galué type Struve functions and Srivastava's polynomials. The results are given in terms of generalized (Wright's) hypergeometric functions. These results are obtained with the help of finite integrals due to Oberhettinger and Lavoie-Trottier. Some interesting special cases of the main results are also considered. The results presented here are of general character and easily reducible to new and known integral formulae.

초등학교 정보화 지원시설의 규모산정에 관한 연구 (A Study on the Scale Calculation of Information Support Facility of the Elementary School)

  • 조병성;이호진
    • 교육녹색환경연구
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    • 제4권4호
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    • pp.25-38
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    • 2004
  • Schools have focused so far on a student-oriented education. As the roles of schools, however, have been increasingly emphasized in the information society, community-centered functions are now additionally required. Beyond simply allowing communities to utilize selected facilities, schools can conduct re-education programs for community residents and actively use their facilities for such purposes. As explained above, schools must continuously evolve to meet current needs and demands, such as by offering special classes and utilizing learning facilities in the elementary levels to promote learning in ever-changing societies. This study analyzed the functions of school facilities to communities, as well as the educational functions involved in teaching-learning processes, in light of the advent of a knowledge and information society. Through analysis, the types of information facilities in elementary schools were derived. On the basis of such derived types, systematic and reasonable methods to estimate the scope were suggested.

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AN EXTENSION OF THE EXTENDED HURWITZ-LERCH ZETA FUNCTIONS OF TWO VARIABLES

  • Choi, Junesang;Parmar, Rakesh K.;Saxena, Ram K.
    • 대한수학회보
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    • 제54권6호
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    • pp.1951-1967
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    • 2017
  • We aim to introduce a further extension of a family of the extended Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate several interesting properties of the extended function such as its integral representations which provide extensions of various earlier corresponding results of two and one variables, its summation formula, its Mellin-Barnes type contour integral representations, its computational representation and fractional derivative formulas. A multi-parameter extension of the extended Hurwitz-Lerch Zeta function of two variables is also introduced. Relevant connections of certain special cases of the main results presented here with some known identities are pointed out.

함수를 포함한 IL 언어의 실행적 의미구조 (Operational Semantics for Instruction List with Functions)

  • 신승철;노상훈
    • 정보처리학회논문지A
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    • 제14A권7호
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    • pp.457-466
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    • 2007
  • PLC와 같은 특수 목적 제어기나 모션 제어기 등을 프로그램하기 위해 제공되는 제어 언어의 표준은 IEC61131-3이다. 이 표준 언어의 하나인 IL(Instruction List)은 어셈블리 수준의 언어이지만 고수준 언어의 특징들도 가지고 있다. 본 논문에서는 IL의 정형적인 의미구조를 실행적 의미구조를 이용하여 정의한다. 기존의 IL 의미구조들은 함수와 함수블록을 포함하지 않는 기본 프로그램만을 대상으로 하기 때문에 실용적이지 못하다. 우리는 함수와 함수블록을 포함하는 IL 의미구조를 정의하였다.