• 제목/요약/키워드: geometric series

검색결과 251건 처리시간 0.027초

압입 시험의 기하학적 조건과 유동 응력 선도와의 관계에 관한 연구 (Evaluation of Flow Stress using Geometric Conditions of Ball Indentation Test)

  • 이병섭;이호진;이봉상
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 춘계학술대회논문집
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    • pp.291-294
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    • 2003
  • Ball indentation tests have been used to estimate the mechanical properties of materials by some investigators. In this study, load-depth curves from ball indentation tests have been analysed using the geometric conditions of ball indentation. Series of numerical calculations and experimental results showed that those curves could be simplified by linear functions. After linearizing the indentation curves, the estimation process of the flow properties became straight forward and the scatter of results could be drastically reduced.

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GEOMETRIC ERGODICITY AND TRANSIENCE FOR NONLINEAR AUTOREGRESSIVE MONELS

  • Lee, Oe-Sook
    • 대한수학회논문집
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    • 제10권2호
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    • pp.409-417
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    • 1995
  • We consider the $R^k$-valued $(k \geq 1)$ process ${X_n}$ generated by $X_n + 1 = f(X_n)+e_{n+1}$, where $f(x) = (h(x),x^{(1)},x^{(1)},\cdots,x{(k-1)})'$. We assume that h is a real-valued measuable function on $R^k$ and that $e_n = (e'_n,0,\cdot,0)'$ where ${e'_n}$ are independent and identically distributed random variables. We obtained a practical criteria guaranteeing a given process to be geometrically ergodic. Sufficient condition for transience is also given.

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정확한 위상정보를 얻기 위한 탈초점 영상들의 이미지 처리기법 (Image Processing of Defocus Series TEM Images for Extracting Reliable Phase Information)

  • 송경;신가영;김종규;오상호
    • Applied Microscopy
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    • 제41권3호
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    • pp.215-222
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    • 2011
  • We discuss the experimental procedure for extracting reliable phase information from a defocus series of transmission electron microscopy (TEM) dark-field images using the transport of intensity equation (TIE). Taking InGaN/GaN multi-quantum well light-emitting diode as a model system, various factors affecting the final result of reconstructed phase such as TEM sample preparation, TEM imaging condition, image alignment, the correction of defocus values and the use of high frequency pass filter are evaluated. The obtained phase of wave function was converted to the geometric phase of the corresponding lattice planes, which was then used for the two-dimensional mapping of lattice strain following the dark-field inline holography (DIH) routine. The strain map obtained by DIH after optimized image processing is compared with that obtained by the geometric phase analysis of high resolution TEM (HRTEM) image, manifesting that DIH yields more accurate and reliable strain information than HRTEM-based GPA.

카산드르의"뒤보네"광고포스터 연구 (A study on cassandre's advertising poster"Dubonnet")

  • 강순천
    • 디자인학연구
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    • 16호
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    • pp.185-196
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    • 1996
  • The series of ‘Dubonnet’poster is one of the masterpieces of Cassandre who was the leader of advertising poster in 1920's and 1930's. Orihinally it was a triptych, but it was developed as a serial work later through lettering and seasonal advertising posters. It was kept in circulation for more than two decades and issued in a variety of formats. In this thesis I tried to figure out the artistic character and uniqueness of Cassandre's poster by analyzing it with many different points of view of the poster, the stream of changing style and influence from the Avant-garde painting. In chapterII, objectively analyzing the series of‘Dubonnet’one by one, I examined the method that Cassandre used to deliver the concept of advertising and his message. The triptych, the first one of series of Dubonnet poster is witty, the slogan is a pun using the words dubo(doubt), bon(good), and Dubonnet, and the theme is treated as an animated sequence in the manner of a comic strip. In the following winter and summer seasonal advertising posters, the‘Dubonnet man’in the same position is enjoying the‘Dubonnet’, irrespective of the hazards of climate and season, There was a change towards 1929 that rectilinear design gave place to supple and undulating lines in Cassandre's posters. Seasonal advertising posters also showed the change, and the tendency of realistic and concrete elements of an expression was strengthened. In chapterIII, I studied three as main characters of Cassandre's poster. The first one is simple and geometric expression, second one is uniqueness of figures and the last one is important roll of lettering. Cassandre believed that there were fundamental differences between the function of a poster and that of a painting. He also recognized that the symbol was the essential element in the poster design, which would be simply and swiftly recognized. The recognition led him to simple design and bold geometric abstraction. He was a man who knew the value of copy in advertising and developed it fully in his simplified geometric compositions by integrating of letterforms and image. The‘Dubonnet man’is geometrized, almost featureless. This approach of rendering human beings was one that Cassandre had used from the early years, most notably in his posters for Dubonnet.

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이중 사인 시리즈법에 의한 직사각형 평판의 자유 진동해석 (Double Fourier Sine Series Method for The Free Vibration of a Rectangular Plate)

  • 윤종욱;이장무
    • 소음진동
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    • 제6권6호
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    • pp.771-779
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    • 1996
  • In this paper, double Fourier sine series is used as a modal displacement functions of a rectangular plate and applied to the free vibration analysis of a rectangular plate under various boundary conditions. The method of stationary potential energy is used to obtain the modal displacements of a plate. To enhance the flexibility of the double Fourier sine series, Lagrangian multipliers are utilized to match the geometric boundary conditions, and Stokes' transformation is used to handle the displacements that are not satisfied by the double Fourier sine series. The frequency parameters and mode shapes obtained by the present method are compared with those obtained by MSC/NASTRAN and other analysis.

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선반가공시 채터 모드 및 안정영역 분석 (Chatter Mode and Stability Boundary Analysis in Turning)

  • 오상록;진도훈;윤문철;류인일;하만경
    • 한국공작기계학회논문집
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    • 제14권5호
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    • pp.7-12
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    • 2005
  • This paper presents several time series methods to analyze the chatter mechanics by using the power spectrum of these algorithms considering the cutting dynamics. In this study, several time series models such as AR(burg, forwardbackward, geometric lattice, instrument variable, least square, Yule Walker), ARX(1s, iv4), ARMAX, ARMA, Box Jenkins, Output Error were modeled and compared with one another. Finally, it was proven that time series modelings are also a desirable and reliable algorithm than the other conventional methods(FFT) for the calculation of the chatter mode in turning operation. Also, the spectrum of times series methods is a little bit more powerful than the FFT fer the detection of a high noisy and weak chatter mode. The radial cutting force Fy has been used for spectrum and chatter stability lobe analysis in this study.

Ergodicity of Nonlinear Autoregression with Nonlinear ARCH Innovations

  • Hwang, S.Y.;Basawa, I.V.
    • Communications for Statistical Applications and Methods
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    • 제8권2호
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    • pp.565-572
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    • 2001
  • This article explores the problem of ergodicity for the nonlinear autoregressive processes with ARCH structure in a very general setting. A sufficient condition for the geometric ergodicity of the model is developed along the lines of Feigin and Tweedie(1985), thereby extending classical results for specific nonlinear time series. The condition suggested is in turn applied to some specific nonlinear time series illustrating that our results extend those in the literature.

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A Characterization of Negative Binomial Distribution Truncated at Zero

  • Shanmugam, R.
    • Journal of the Korean Statistical Society
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    • 제11권2호
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    • pp.131-138
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    • 1982
  • Analogous to Singh's (1978) characterization of positive-Poisson distributioin and Shanmugam and Singh's (1992) characterization of logarithmic series distribution, a characterization and its statistical application of the negative binomial distribution truncated at zero are given in this paper. While it is known that under certain conditions the negative binomial distribution truncted at zero approaches the positive-Poisson and the logarithmic series distributions, we show here that the results of this paper approach in limit the results of Singh, and Shanmugam and Singh, respectively. Using the biologicla data from Sampford (1955), we illusrate our results. Also, expressions are explicitly given to test the hypothesis whether a random sample is indeed from a geometric distribution.

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A New Solution for Projective Reconstruction Based on Coupled Line Cameras

  • Lee, Joo-Haeng
    • ETRI Journal
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    • 제35권5호
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    • pp.939-942
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    • 2013
  • We provide a new solution for the projective reconstruction problem based on coupled line cameras (CLCs) and their geometric properties. The proposed solution is composed of a series of optimized steps, and each step is more efficient than those of the initial solution proposed in [1]. We also give a new determinant condition for rectangle determination, which leads to less ambiguity in implementation. The key steps of the proposed solution can be represented with more compact analytic equations due to the intuitive geometric interpretations of the projective reconstruction problem based on CLCs: the center of projection corresponds to the intersection point of the two solution circles of each line camera involved.

기하학적 튜브디자인과 아르키메데스 수평별 입문 (Introduction to Archimedean Horizontal Stars on Geometric Tube Design)

  • 황홍택
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제29권2호
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    • pp.241-254
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    • 2015
  • 기하학적 튜브디자인을 통한 아르키메데스별 창작과 관련된 체계적인 연구개발이, 최근 수년간 브리지컨퍼런스 수학예술 갤러리에 선정된 모델을 중심으로, 진행되어 왔다. 본 연구는 창의적 실험수학교육에 유용한 소스로, 아르키메데스 별 창작활동에 관한 이론적 배경 그리고 아르키메데스 수평별 체계적인 분류 및 그에 따른 시작단계 수준의 개발 성과를 소개한다.