• Title/Summary/Keyword: Decomposition Product

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A Simple Matrix Factorization Approach to Fast Hadamard Transform (단순한 메트릭스 계승접근에 의한 고속 아다마르 변환)

  • Lee, Moon-Ho
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.1
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    • pp.173-176
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    • 1987
  • This paper presents a simple factorization of the Hadamard matrix which is used to develop a fast algorithm for the Hadamard transform. This matrix decomposition is of the kronecker products of identity matrices and successively lower order Hadamard matrices. This following shows how the Kronecker product can be mathematically defined and efficiently implemented using a factorization matrix methods.

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Research of Integrated System Design Process for Minimize Iteration Time of System Design Activities (시스템 설계 업무 반복시간을 최소화하는 통합된 시스템 설계 프로세스 연구)

  • Kim Jin-Hoon;Park Young-Won
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.27 no.3
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    • pp.31-36
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    • 2004
  • This paper will describe design process and its results that are minimized unaddressed feature of product development processes. This process provides integrated system design process by context analysis of EIA 632 standard process, interface definition from activity decomposition, integration of related activities, and definition of concurrency & sequential activities flow. This process and method application will contribute to minimize time loss that is emerged from activities iteration by not definitely definition of activities interface.

A FAMILY OF SERIES AND INTEGRALS INVOLVING WHITTAKER, BESSEL FUNCTIONS, AND THEIR PRODUCTS DERIVABLE FROM THE REPRESENTATION OF THE GROUP SO(2, 1)

  • Choi, Junesang;Shilin, I.A.
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.999-1008
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    • 2017
  • By mainly using certain properties arising from the semisimple Lie group SO(2, 1), we aim to show how a family of some interesting formulas for bilateral series and integrals involving Whittaker, Bessel functions, and their product can be obtained.

FUZZY EQUIVALENCE RELATIONS AND FUZZY FUNCTIONS

  • Lee, Keon-Chang
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.1
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    • pp.20-29
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    • 2009
  • In this paper, by using the definition of fuzzy equivalence relations introduced by Dib and Youssef, we obtain fuzzy analogues of many results concerning ordinary equivalence relations. Moreover, we investigate fuzzy analogues of many results concerning relationships between ordinary equivalence relations and ordinary functions. In particular, we obtain the fuzzy-canonical decomposition of a fuzzy function.

Research of Integrated System Design Process for Concurrency Design Activity (동시적 업무수행을 위한 통합된 시스템 설계 프로세스연구)

  • 김진훈;박영원
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2004.04a
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    • pp.103-108
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    • 2004
  • This paper will describe integrated system design process and its application. Integrated design process is performed activities concurrently and sequentially for product development. For a group of activities to be truly integrated, the flow of deliverables among them must be well defined, and committed to. For this purpose, the study will suggest procedure that is executed context analysis of standard process, interface definition from activity decomposition, integration of related activities, and definition of concurrency & sequential activities flow, This procedure and method will contribute to minimize time loss that is emerged from activities iteration by not definitely definition of activities interface.

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Kinetics of Reversible Consecutive Reactions

  • Park, Tae Jun
    • Bulletin of the Korean Chemical Society
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    • v.34 no.1
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    • pp.243-245
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    • 2013
  • Rate equations are exactly solved for the reversible consecutive reaction of the first-order and the time-dependence of concentrations is analytically determined for species in the reaction. With the assumption of pseudo first-order reaction, the calculation applies and determines the concentration of product accurately and explicitly as a function of time in the unimolecular decomposition of Lindemann and in the enzyme catalysis of Michaelis-Menten whose rate laws have been approximated in terms of reactant concentrations by the steady-state approximation.

Nanophase Iron Clusters Produced by CO₂Laser Multiphoton-Decomposition of $Fe(CO)_5$ : Their Generation and Characterization

  • Lee, G. H.;Huh, S. H.;Jung, H. I.
    • Bulletin of the Korean Chemical Society
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    • v.17 no.8
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    • pp.686-688
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    • 1996
  • We have produced nanophase iron clusters inside a gas cell by decomposing iron pentacarbonyls from the mixture of ~20 Torr Fe(CO)5/~3 Torr SF6 with a pulsed CO2 laser. The product displayed a black tint. Its composition was identified to be mostly iron from an inductively coupled plasma (ICP) atomic emission spectrum. The X-ray diffraction (XRD) pattern indicates a body-centered cubic structure for the cluster. A transmission electron micrograph proves that their diameter ranges between 50 and 70 Å and their average diameter is 60 Å.

CONFORMAL HEMI-SLANT SUBMERSION FROM KENMOTSU MANIFOLD

  • Mohammad Shuaib;Tanveer Fatima
    • Honam Mathematical Journal
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    • v.45 no.2
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    • pp.248-268
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    • 2023
  • As a generalization of conformal semi-invariant submersion, conformal slant submersion and conformal semi-slant submersion, in this paper we study conformal hemi-slant submersion from Kenmotsu manifold onto a Riemannian manifold. The necessary and sufficient conditions for the integrability and totally geodesicness of distributions are discussed. Moreover, we have obtained sufficient condition for a conformal hemi-slant submersion to be a homothetic map. The condition for a total manifold of the submersion to be twisted product is studied, followed by other decomposition theorems.

Pyrolytic Reaction Pathway of Chloroethylene in Hydrogen Reaction Atmosphere (수소 반응분위기에서 Chloroethylene 열분해 반응경로 특성)

  • Won, Yang-Soo
    • Korean Chemical Engineering Research
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    • v.49 no.5
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    • pp.510-515
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    • 2011
  • The pyrolytic reaction of 1,1-dichloroethylene($CH_2CCl_2$) has been conducted to investigate thermal decomposition of chlorocarbon and product formation pathways under hydrogen reaction environment. The reactions were studied in a isothermal tubular flow reactor at 1 atm total pressure in the temperature range $650{\sim}900^{\circ}C$ with reaction times of 0.3~2.0 sec. A constant feed molar ratio $CH_2CCl_2:H_2$ of 4:96 was maintained through the whole experiments. Complete decay(99%) of the parent reagent, $CH_2CCl_2$ was observed at temperature near $825^{\circ}C$ with 1 sec. reaction time. The important decay of $CH_2CCl_2$ under hydrogen reaction environment resulted from H atom cyclic chain reaction by abstraction and addition displacement. The highest concentration (28%) of $CH_2CHCl$ as the primary product was observed at temperature $700^{\circ}C$, where up to 46% decay of $CH_2CCl_2$ was occurred. The secondary product, $C_2H_4$ as main product was detected at temperature above $775^{\circ}C$. The one less chlorinated ethylene than parent increase with temperature rise subsequently. The HCl and dechlorinated hydrocarbons such as $C_2H_4$, $C_2H_6$, $CH_4$ and $C_2H_2$ were the main products observed at above $825^{\circ}C$. The important decay of $CH_2CCl_2$ resulted from H atom cyclic chain reaction by abstraction and addition displacement. The important pyrolytic reaction pathways to describe the features of reagent decay and intermediate product distributions, based upon thermochemical and kinetic principles, were suggested.

Characteristics of a-Si:H Films for Contact-type Linear Image Sensor (밀착형 선형 영상감지소자를 위한 a-Si:H막의 특성)

  • 오상광;박욱동;김기완
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.11
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    • pp.894-901
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    • 1991
  • Contact-type linear image sensors have been fabricated by means of RF glow discharge decomposition method of silane and hydrogen mixtures. The dependences of the electrical and optical properties of these sensor on thickness, RF power, substrate temperature and ambient gas pressure have been investigated. the ITO/i-a-Si:H/Al structure film shows photosensitivity of 0.85 and photocurrent to dark current ratio ($I_{ph}/I_{d}$) of 150 at 5V bias voltage under 200${\mu}W/cm^[2}$ red light intensity. Under 200${\mu}W/cm^[2}$ green light intensity, the ratio is 100. In order to investigate photocarrier transport mechanism and to obtain ${\mu}{\gamma}$ product we have measured the I-V characteristics of these sensors favricated with several different deposition parameters under various light sources. The linear inage sensor for document reading has been operated under reverse bias condition with green light source, resulting in ${\mu}{\gamma}$ product of about 1.5$[\times}10^{-9}cm^{2}$/V.

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