• Title/Summary/Keyword: special functions

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AN ELEMENTARY COMPUTATION OF HANKEL MATRICES ON THE UNIT DISC

  • Chung, Young-Bok
    • Honam Mathematical Journal
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    • v.43 no.4
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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.

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

  • Kim, S.H.;Kang, H.J.;Kim, T.K.;Moon, D.H.
    • Journal of Power System Engineering
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    • v.16 no.1
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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.

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

  • 이원용;박두순
    • Journal of Internet Computing and Services
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    • v.2 no.4
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    • pp.69-81
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    • 2001
  • This paper describes a parallel programming environment to help programmer to write parallel programs. Parallel program must be write according to the character of the various hardware or program. So it is difficult for the programs to write the parallel programmer. In this paper, we propose and implement a parallel programming environment using graph type intermediate representation form, and graph user interface is provided for programmer to get parallel programs easily, This parallel environment supports special functions using graph type intermediate representation form. The special functions involve program editing. data dependence analysis, loop transformation. CFG, PDG, HTG. This parallel environment helps users make parallelism and optimization easy through showing the intermediate code with graph.

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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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    • v.42 no.1
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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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    • v.50 no.1
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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
    • Proceedings of the Korea Society for Simulation Conference
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    • 1997.04a
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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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    • v.59 no.4
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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.

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

  • Jo, Byeong-Seong;Lee, Ho-Chin
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.4 no.4
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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.
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.6
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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.

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

  • Shin, Seung-Cheol;Rho, Sang-Hoon
    • The KIPS Transactions:PartA
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    • v.14A no.7
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    • pp.457-466
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    • 2007
  • IEC61131-3 is the standard of control languages in which special purpose controllers and motion controllers such as PLC can be programmed. IL(Instruction List), one of the standard languages, is in assembly level but has some high-level features. This paper describes a formal semantics of IL in operational style. Previous works on IL semantics do not include functions and function blocks, which is not so practical. We define IL semantics including functions and function blocks.