• Title/Summary/Keyword: Series Expansion

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Posbist Reliability Analysis of Typical Systems

  • Huang, Hong-Zhong;Tong, X.;He, L.P.
    • International Journal of Reliability and Applications
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    • v.8 no.2
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    • pp.137-151
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    • 2007
  • Posbist reliability of typical systems is preliminarily discussed in Cai (1991). In this paper, we focus on the posbist reliability analysis of some typical systems in depth. First, the lifetime of the system is dealt as a fuzzy variable defined on the possibility space (U, ${\phi}$, $P_{oss}$) and the universe of discourse is expanded from (0, $+{\infty}$) to ($-{\infty},\;+{\infty}$). Then, a concrete possibility distribution function of the fuzzy variable is given, i.e., a Gaussian fuzzy variable. Finally, posbist reliability of typical systems (series, parallel, series-parallel, parallel-series, cold redundant system) is deduced. The expansion makes the proofs of some theorems straightforward and allows us to easily obtain the posbist reliability of typical systems. To illustrate the method a numerical example is given.

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SOME FAMILIES OF INFINITE SERIES SUMMABLE VIA FRACTIONAL CALCULUS OPERATORS

  • Tu, Shih-Tong;Wang, Pin-Yu;Srivastava, H.M.
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.111-125
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    • 2002
  • Many different families of infinite series were recently observed to be summable in closed forms by means of certain operators of fractional calculus(that is, calculus of integrals and derivatives of any arbitrary real or complex order). In this sequel to some of these recent investigations, the authors present yet another instance of applications of certain fractional calculus operators. Alternative derivations without using these fractional calculus operators are shown to lead naturally a family of analogous infinite sums involving hypergeometric functions.

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Representation of cutting forces and tool deflection in end milling using Fourier series (엔드밀 가공에서 푸리에 급수를 이용한 절삭력 및 공구변형 표현)

  • Ryu S.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.781-785
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    • 2005
  • Cutting forces and tool deflection in end milling are represented as the closed form of tool rotational angle and cutting conditions. The discrete cutting forces caused by tool entry and exit are continued using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping pan are considered for cutting forces and tool deflection estimation. Compared to numerical methods, the presented method has advantages in short prediction time and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the ferm accuracy is easily predicted by tool deflect ion curve.

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Time-Discretization of Nonlinear Systems with Delayed Multi-Input Using Taylor Series

  • Park, Ji-Hyang;Chong, Kil-To;Nikolaos Kazantzis;Alexander G. Parlos
    • Journal of Mechanical Science and Technology
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    • v.18 no.7
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    • pp.1107-1120
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    • 2004
  • This study proposes a new scheme for the sampled-data representation of nonlinear systems with time-delayed multi-input. The proposed scheme is based on the Taylor-series expansion and zero-order hold assumption. The mathematical structure of a new discretization scheme is explored. On the basis of this structure, the sampled-data representation of nonlinear systems including time-delay is derived. The new scheme is applied to nonlinear systems with two inputs and then the delayed multi-input general equation is derived. The resulting time-discretization provides a finite-dimensional representation of nonlinear control systems with time-delay enabling existing controller design techniques to be applied to them. In order to evaluate the tracking performance of the proposed scheme, an algorithm is tested for some of the examples including maneuvering of an automobile and a 2-DOF mechanical system.

Are Business Cycles in the Fashion Industry Affected by the News? -An ARIMAX Time Series Correlation Analysis between the KOSPI Index for Textile & Wearing Apparel and Media Agendas- (패션산업의 경기변동은 뉴스의 영향을 받는가? -섬유의복 KOSPI와 미디어 의제의 ARIMAX 시계열 상관관계 분석-)

  • Hyojung Kim;Minjung Park
    • Journal of the Korean Society of Clothing and Textiles
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    • v.47 no.5
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    • pp.779-803
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    • 2023
  • The growth of digital news media and the stock price index has resulted in economic fluctuations in the fashion industry. This study examines the impact of fashion industry news and macroeconomic changes on the Textile & Wearing Apparel KOSPI over the past five years. An auto-regressive integrated moving average exogenous time series model was conducted using the fashion industry stock market index, the news topic index, and macro-economic indicators. The results indicated the topics of "Cosmetic business expansion" and "Digital innovation" impacted the Textile & Wearing Apparel KOSPI after one week, and the topics of "Pop-up store," "Entry into the Chinese fashion market," and "Fashion week and trade show" affected it after two weeks. Moreover, the topics of "Cosmetic business expansion" and "Entry into the Chinese fashion market" were statistically significant in the macroeconomic environment. Regarding the effect relation of Textile & Wearing Apparel KOSPI, "Cosmetic business expansion," "Entry into the Chinese fashion market," and consumer price fluctuation showed negative effects, while the private consumption change rate, producer price fluctuation, and unemployment change rate had positive effects. This study analyzes the impact of media framing on fashion industry business cycles and provides practical insights into managing stock market risk for fashion companies.

Alkali-Silica Reaction of Mortar Containing Waste Glass Aggregates (폐유리 골재를 혼입한 모르터의 알칼리 실리카 반응에 관한 연구)

  • 박승범;이봉춘;권혁준
    • Journal of the Korea Concrete Institute
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    • v.13 no.3
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    • pp.213-220
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    • 2001
  • Incorporation of wastes glass aggregate in mortar may cause crack and this may result in the strength reduction due to alkali-silica reaction(ASR) and expansion. The purposes of this study were to investigate the properties of alkali-silica expansion and strength loss through a series of experiments which had a main experimental variables such as waste glass aggregate contents, glass colors, fiber types, and fiber contents. The steel fibers and polypropylene fibers were used for constraining the ASR expansion and mortar cracking. From the result, green waste glass was more suitable than brown one because of low expansion. And in this accelerated ASTM C 1260 test of waste glass, pessimum content can not be found. Also, when used the fibers with waste glass, there is an effect on reduction of expansion and strength loss due to ASR between the alkali in the cement paste and the silica in the waste glass. Specially, adding 1.5 vol.% of steel fiber to 20% of waste glass, the expansion ratio was reduced by 40% and flexural strength was developed by up to 110% comparing with only waste glass(80$\^{C}$ H$_2$O curing).

Analysis of Spatial Growth Characteristics of Major Cities in Hunan Province, China for Sustainable Urban Management (지속 가능한 도시경영을 위한 중국 후난성 주요 도시의 공간적 성장 특징분석)

  • Yang, Li-jun;Kim, Hyunchul;Ahn, Chulok
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.45 no.3
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    • pp.197-203
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    • 2022
  • Urban space expansion is an important symbol of the urbanization process and has always been an important topic in urban studies. In addition, for sustainable city management, it is important to identify factors that can influence, such as the driving force and direction of urban space expansion, from the stage of establishing an urban development plan. To understand these factors, by observing the expansion process of a specific city, it is possible to sufficiently observe how the urban spatial dimension changes. Through a series of processes, the spatial growth characteristics of the city are analyzed, and the influence and results of important factors are analyzed. For this purpose, this paper examines the changes in the city's outer boundary and land use structure through monitoring data on urban areas of 14 cities in Hunan Province, China from 2000 to 2016. Temporal and spatial regularity according to the urban space expansion of these cities were analyzed, and a preliminary assessment was made on whether the urban space expansion is coordinated with the urban population growth. The assessment result showed: (1) The urban space of most cities has been extended rapidly in 2000-2015 however, the rate and the intensity of urban space expanding has been declining. (2) The construction of the industrial park is the core driving force of the urban space expanding, and the change of the urban space structure is manifested as enclave city expansion because that the industrial park is usually far away from the city center. (3) The population agglomeration is another driving force of the urban space expanding. At this time, the urban space expanding is like boundary extension. (4) Except Changsha city, all of the cities has a high urbanization-area-growth elastic coefficient. It means that most of the cities should enhance the land use degree.

Performance Analysis of Monopulse System Based on Third-Order Taylor Expansion in Additive Noise (부가성 잡음이 존재하는 모노펄스 시스템 성능의 3차 테일러 전개 기반 해석적 분석)

  • Ham, Hyeong-Woo;Kim, Kun-Young;Lee, Joon-Ho
    • Journal of Convergence for Information Technology
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    • v.11 no.12
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    • pp.14-21
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    • 2021
  • In this paper, it is shown how the performance of the monopulse algorithm in the presence of an additive noise can be obtained analytically. In the previous study, analytic performance analysis based on the first-order Taylor series and the second-order Taylor series has been conducted. By adopting the third-order Taylor series, it is shown that the analytic performance based on the third-order Taylor series can be made closer to the performance of the original monopulse algorithm than the analytic performance based on the first-order Taylor series and the second-order Taylor series. The analytic MSE based on the third-order Taylor approximation reduces the analytic MSE error based on the second-order Taylor approximation by 89.5%. It also shows faster results in all cases than the Monte Carlo-based MSE. Through this study, it is possible to explicitly analyze the angle estimation ability of monopulse radar in an environment where noise jamming is applied.

Development of Technique to Improve the Formability of the Rear Floor in Series Stamping Process (연속 스탬핑 작업시 리어 플로어 성형성 향상기술 개발)

  • Kim, Dong-Hwan;Lee, Jung-Min;Go, Young-Ho;Cha, Hae-Gue;Kim, Byung-Min
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.9 s.174
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    • pp.41-48
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    • 2005
  • In this study, to improve the formability of the rear floor in series stamping process, the method for predicting the temperature of tools and steel sheet is proposed using FE analysis. To do this, tensile tests and straight pulling friction tests of three steel sheets are carried out at temperatures up to $300^{\circ}C$, and the effect of temperature on the tensile properties and the characteristics of friction are examined. The steel sheets have a higher n-value in the temperature range of about $50^{\circ}C$, and it is related to the maximum uniform elongation. Also, the blue shortness occurs in the temperature range of about $150^{\circ}C$. When the temperature is higher than $200^{\circ}C$, the friction coefficient increase with increasing temperature. From the FE-simulation, the effects of the punch temperature considering heat expansion in the number of stamping are examined and discussed. The technique developed in this study fur estimating tool temperature can be used to develop more feasible ways to improve continuous productivity in series stamping process.

Clinical Evaluation of Fuji HR-series (Fuji HR series의 임상평가)

  • Kang, Dae-Hyun;Shin, Dong-Sik;Kim, Young-Hwan;Kang, Hong-Seok;Lee, In-Ja;Huh, Joon
    • Journal of radiological science and technology
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    • v.11 no.2
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    • pp.21-26
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    • 1988
  • Newly developed orthochromatic film HR series have many different types according to high speed, high resolution and special latitude. And now authors have practiced various screen-film combinations, those were usual regular type Fuji new RX film-LT screen and orthochromatic type HR films-rare earth G3, G4 screens. As a result of the experiment, we obtained high speed with high resolution and expansion of diagnostic range on the following combinations compared with usual new RX/LT series. Those combinations were RXO-G and HR-L films to skull, HR-G films to knee joint and hand part, HR-L film to abdomen. Therefore it may be desirable to select adquate kinds of HR series films according to investigated parts.

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