• Title/Summary/Keyword: Product Array

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AN EXTENSION ON GENERALIZED HYPERGEOMETRIC POLYNOMIALS

  • Shah, Manilal
    • Kyungpook Mathematical Journal
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    • v.11 no.1
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    • pp.93-99
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    • 1971
  • In this paper, the author has established the formulae for product of two generalized hypergeometric polynomials by defining the polynomial in the form $$F_n(x)=x^{({\delta}-1)n}{_{p+{\delta}}F_q}\[\array{{\Delta}({\delta},-n),&a_1,&{\cdots}{\cdots},&a_p\\&b_1,&{\cdots}{\cdots},&b_q};\;{\lambda}x^c\]$$, where the symbol ${\Delta}({\delta},-n)$ represents the set of ${\delta}$-parameters: $${\frac{-n}{\delta}},\;{\frac{-n+1}{\delta}},\;{\cdots}{\cdots},\;{\frac{-n+{\delta}-1}{\delta}}$$ and ${\delta}$, n are positive integers. A number of known as well as new results have been also obtained with proper choice of parameters.

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Efficient Transformations Between Binary Images and Quadtrees on a Linear Array with Reconfigurable Optical Buses (LAROB상에서 이진영상과 사진트리 사이의 효율적인 변환)

  • Kim, Myung
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.6
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    • pp.1511-1519
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    • 1999
  • We present efficient algorithms for transforming between binary images and quadtrees on the LABOR. For a binary image of size n ${\times}$ n, both algorithms run in $\theta$(1) time using n2 processors. These algorithms are optimal in the sense that the product of time and number of processors is asymptotically the same as the optimal sequential time which is $\theta$(n2).

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The Optimal Parameter Decision of$\beta$ carotene Mass Production Using Taguchi Method (다구찌 방법을 이용한 $\beta$-carotene 대량생산의 최적환경 조건 결정)

  • 조용욱;박명규
    • Journal of the Korea Safety Management & Science
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    • v.2 no.3
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    • pp.27-36
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    • 2000
  • The Robust Design method uses a mathematical tool called orthogonal arrays to study a large number of decision variables with a small number of experiments. It also uses a new measure of quality, called signal-to-noise (S/N) ratio, to predict the quality from the customer's perspective. Thus, the most economical product and process design from both manufacturing and customers' viewpoints can be accomplished at the smallest, affordable development cost. Many companies, big and small, high-tech and low-tech, have found the Robust Design method valuable in making high-quality products available to customers at a low competitive price while still maintaining an acceptable profit margin. A study to analyze and solve problems of a biochemical process experiment has presented in this paper. We have taken Taguchi's parameter design approach, specifically orthogonal array, and determined the optimal levels of the selected variables through analysis of the experimental results using S/N ratio.

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Design of High-Speed Dynamic CMOS PLA (고속 다이나믹 CMOS PLA의 설계)

  • 김윤홍;임인칠
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.28B no.11
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    • pp.859-865
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    • 1991
  • The paper proposes a design of high-speed dynamic CMOS PLA (Programmable Logic Array) which performs stable circuit operation. The race problem which nay occur in a NOR-NOR implementation of PLA is free in the proposed dynamic CMOS PLA by delaying time between the clocks to the AND- and to the OR-planes. The delay element has the same structure as the product line of the longest delay in the AND p`ane. Therefore it is unnecessary to design the delay element or to calculate correct delay time. The correct delay generated by the delay element makes the dynamic CMOS PLA to perform correct and stable circuit operation. Theproposed dynamic CMOS PLA has few variation of switching delay with the increasing number of inputs or outputs in PLA. It is verified by SPICE circuit simulation that the proposed dynamic CMOS PLA has the better performance over existing dynamic CMOS PLA's.

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Automatic Layout of High Density PLA (고밀도 PLA의 자동 Layout System의 구성)

  • 이제현;경종민
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.6
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    • pp.13-18
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    • 1985
  • A set of utility programs for automatic generation, minimization and verification of high density PLA layout was developed, which includes equation-to-truth table translator, logic minimizer, PLA product term sorter, file generator for plotting stick diagram, dynamic CMOS PLA layout generator and bipartite row folded CMOS PLA layout generator. Size reduction is performed mainly by logic minimizer and bipartite row folder, and the maximal delay is reduced by sorter. The fOe for automatically generated layout is stored in CIF. Each program was written in Clanguage, and was run on VAX-11/750 (UNIX).

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A Simple Random Signal Generator Employing Current Mode Switched Capacitor Circuit

  • Yamakawa, Takeshi;Suetake, Noriaki;Miki, Tsutomu;Uchino, Eiji;Eguchi, Akihiro
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.865-868
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    • 1993
  • This paper describes a simple random signal generator employing by CMOS analog technology in current mode. The system is a nonlinear dynamical system described by a difference equation, such as x(t+1) = f(x(t)) , t = 0,1,2, ... , where f($.$) is a nonlinear function of x(f). The tent map is used as a nonlinear function to produce the random signals with the uniform distribution. The prototype is implemented by using transistor array devices fabricated in a mass product line. It can be easily realized on a chip. Uniform randomness of the signal is examined by the serial correlation test and the $\chi$2 test.

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The Design of the Motor Bracket for Reduction of Structure-Borne Noise in Package Air-Conditioner (에어컨의 구조 소음 저감을 위한 실내기 모터 브라켓의 설계)

  • Sim, Hyoun-Jin;Kim, Seong-Hyeon;Kang, Tae-Ho;Lee, Jung-Yoon;Oh, Jae-Eung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.453-456
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    • 2005
  • In recent years, the demand of a silent indoor air-conditioner is the essential research filed when the product is developed. In this study, through the design modification of the noise and vibration source, the noise and vibration level of the package air-conditioner is reduced. The modal analysis of the motor bracket is performed by FEM. To find the most suitable shape of the motor bracket, Design of Experiments is applied.

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Life Assessment of Automotive Electronic Part using Virtual Qualification (Virtual Qualification을 통한 자동차용 전장부품의 수명 평가)

  • Lee, Hae-Jin;Lee, Jung-Youn;Oh, Jae-Eung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.143-146
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    • 2005
  • In modern automotive control modules, mechanical failures of surface mounted electronic components such as microprocessors, crystals, capacitors, transformers, inductors, and ball grid array packages, etc., are mai or roadblocks to design cycle time and product reliability. This paper presents a general methodology of failure analysis and fatigue prediction of these electronic components under automotive vibration environments. Mechanical performance of these packages is studied through finite element modeling approach fur given vibration environments in automotive application. Using the results of vibration simulation, fatigue lift is predicted based on cumulative damage analysis and material durability information. Detailed model of solder/lead joints is built to correlate the system level model and obtain solder strains/stresses. The primary focus in this paper is on surface-mount interconnect fatigue failures and the critical component selected for this analysis is 80 pin plastic leaded microprocessor.

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Flavonoids analysis about mulberry fruit of Korean mulberry cultivar, 'Daeshim'

  • Ju, Wan-Taek;Kwon, O-Chul;Kim, Yong-Soon;Kim, Hyun-Bok;Sung, Gyoo-Byung;Kim, Jong-gil
    • International Journal of Industrial Entomology and Biomaterials
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    • v.37 no.2
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    • pp.43-48
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    • 2018
  • Mulberry fruit is a new income product in Korea sericulture due to the increase of fruit consumption. However, flavonoids of Korean mulberry cultivar for fruit production did not reported yet. In this study, the typical mulberry cultivar, 'Daeshim' was analyzed using ultrahigh performance liquid chromatography coupled with diode array detection and quadrupole time-of-flight mass spectrometry (UPLC-DAD-QTOF/MS) technique for flavonoids analysis. Nine flavonoids were isolated and analyzed from Daeshim using UPLC-DAD-QTOF/MS chromatogram. According to quantitative analysis, rutin (66.1 mg/100g DW) and quercetin 3-O-(6"-O-malonyl) glucoside (26.7 mg/100g DW) were abundant in mulberry fruit. Our results might be used as basic information for mulberry consumption.

A Study on Selection of Optimal Basic Dimensions by Utilization of Orthogonal Array Table in Industrial Design (산업 디자인에 있어서 직교배열표 적용에 따른 기초치수 적정치 산출에 관한 연구)

  • 홍성수;이재환
    • Archives of design research
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    • v.16 no.3
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    • pp.183-190
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    • 2003
  • It is a fundamental pre-requisite to thoroughly analyse and understand the things which are being designed in the process of industrial design. However, it is not always easy to acquire appropriate data to meet all the requirements to finally design a functionally superior products. This paper proposes an industrial design model with heightened reliability using the orthogonal array tables, which are fairly handy to apply when there are many design criteria to be considered at the onset stage Especially, in this research, the basic purpose of the orthogonal arrays that they try to compact the range of experiments and to improve the effectiveness of the experiment results is answered under average industrial design processes. At the same time, non-quantitative data of design factors are quantitative by the concurrency in design and their mutual actions are examined. This method can help industrial designers in narrowing their design possiblities by depicting more valid data, thus producing quality product designs by deriving optimal control factors.

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