• 제목/요약/키워드: J measure

검색결과 1,326건 처리시간 0.04초

Truncated Complex Moment Problem with Data in a Circle

  • Lee, Sang-Hun;Sim, Jung-Hui
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.241-247
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    • 2005
  • Let ${\gamma}{\equiv}\left{{\gamma}_{ij}\right}(0{\leq}i+j{\leq}2n)$ be a collection of complex numbers with ${\gamma}_{00}>0$ and ${\gamma}_{ji}={\bar{\gamma}}_{ij}$. The truncated complex moment problem for ${\gamma}$ entails finding a positive Borel measure ${\mu}$ supported in the complex plane ${\mathbb{C}}$ such that ${\gamma}_{ij}={\int}{\bar{z}}^{i}z^jd{\mu}(z)(0{\leq}i+j{\leq}2n)$. We solve this truncated moment problem with data in a circle and discuss the behavior of data in an extended moment matrix.

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파괴표면분석을 통한 WC-Co복합재료의 Fracture Toughness측정방법과 Failure Behavior (Fracture Toughness and Failure Behavior of WC-Co Composites by Fracture Surface Analysis)

  • 한동빈
    • 한국세라믹학회지
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    • 제26권5호
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    • pp.645-654
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    • 1989
  • Specimens of WC-Co were indented to measure the resulting crack size and unindented samples were fractured in 3-point flexure to obtain the strength and to measure characteristic features on the fracture surface. Fracture toughness was determined using fractography and compared to those determined using identation techniques. We show that principles of fracture mechanics can be applied WC-Co composites and can be used to analyze the fracture process. The fracture surfaces were examined by scanning electron microscopy and optical microscopy. Characteristic feature observed in glasses, single crystals and polycrystalline materials known as mirror, mist, hackle, and crack branching were identified for these composites. We discuss the importance of fracture surface analysis in determining the failure-initiating sources and the failure behaviorof WC-Co composites.

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ESPI 방법들을 이용한 압력용기 내부 결함 측정에 관한 연구 (A study on the Measurement of Internal Defects of Pressure Vessel by using ESPI Methods)

  • 이정식;강영준;백성훈
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1803-1807
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    • 2005
  • The pipe which it uses from the nuclear power plant or factory by a long period use and a corrosive action the inside defect occurs on the inside. abstract here. The ESPI method is in order to investigate the laser light in the measurement object it will be able to measure the wide territory whole in once, does not receive an effect in direction of defect not to be, has the strong point it will be able to measure a change of place arrowhead real-time defect. It measured a inside defect of pressure vessel by using Out of plane ESPI and In plane of ESPI. It compared a each method result.

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THE FLAT EXTENSION OF NONSINGULAR EMBRY MOMENT MATRICES E(3)

  • Li, Chunji;Liang, Hongkai
    • 대한수학회논문집
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    • 제35권1호
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    • pp.137-149
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    • 2020
  • Let γ(n) ≡ {γij} (0 ≤ i+j ≤ 2n, |i-j| ≤ n) be a sequence in the complex number set ℂ and let E (n) be the Embry truncated moment matrices corresponding from γ(n). For an odd number n, it is known that γ(n) has a rank E (n)-atomic representing measure if and only if E(n) ≥ 0 and E(n) admits a flat extension E(n + 1). In this paper we suggest a related problem: if E(n) is positive and nonsingular, does E(n) have a flat extension E(n + 1)? and give a negative answer in the case of E(3). And we obtain some necessary conditions for positive and nonsingular matrix E (3), and also its sufficient conditions.

THE QUARTIC MOMENT PROBLEM

  • Li, Chun-Ji;Lee, Sang-Hoon
    • 대한수학회지
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    • 제42권4호
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    • pp.723-747
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    • 2005
  • In this paper, we consider the quartic moment problem suggested by Curto-Fialkow[6]. Given complex numbers $\gamma{\equiv}{\gamma}^{(4)}\;:\;{\gamma00},\;{\gamma01},\;{\gamma10},\;{\gamma01},\;{\gamma11},\;{\gamma20},\;{\gamma03},\;{\gamma12},\;{\gamma21},\;{\gamma30},\;{\gamma04},\;{\gamma13},\;{\gamma22},\;{\gamma31},\;{\gamma40}$, with ${\gamma00},\;>0\;and\;{\gamma}_{ji}={\gamma}_{ij}$ we discuss the conditions for the existence of a positive Borel measure ${\mu}$, supported in the complex plane C such that ${\gamma}_{ij}=\int\;\={z}^i\;z^j\;d{\mu}(0{\leq}i+j{\leq}4)$. We obtain sufficient conditions for flat extension of the quartic moment matrix M(2). Moreover, we examine the existence of flat extensions for nonsingular positive quartic moment matrices M(2).

컴퓨터 시각에 의한 분무입자 크기와 분무량 측정법 개발 (Development of a Method to Measure Droplet Size and Spray Deposition Using Computer Vision)

  • 서상룡;김태환;성제훈;정종훈;유수남
    • Journal of Biosystems Engineering
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    • 제19권4호
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    • pp.369-379
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    • 1994
  • A computer vision system consisted of a microscope, a CCD camera, a frame grabber and a personal computer was used to analyze spraying pattern. An algorithm was developed for the system to measure size of droplets including overlapped droplets, to count number of droplets, and to estimate spray deposition in a certain area from the data obtained. A series of experiment was carried out to test validity of the algorithm. The experiment resulted that accuracy of the droplet size measurement, accuracy of counting the number of droplets and the estimation of spray deposition were within an acceptable range. It was concluded from the results that the computer vision system operated by the developed algorithm is very useful tool to analyze spraying pattern.

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스튜엇트 플랫폼의 조작성 연구 (Study on Manipulability of a Stewart Platform)

  • 김한성;최용제
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1994년도 추계학술대회 논문집
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    • pp.901-906
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    • 1994
  • In designing and evaluating manipulators, itis important to understand the capability of kinematic and static performances. Both workspace and manipulability can be considered as such performance measures. In general, the measure of manipulability is related to the kinematics for serial type manipulators. However.in case of parallel manipulators such as Stewart Platform, the manipulability can be interpreted as the static capability of transforming the input forces of actuators to the wrench of the end-effector. In this paper, the mathematical and physical meanings of manipulability suggested in some research works have been examined, and more meaningful measure of manipulability using the absolute minimum eigenvalues of J $^{T}$ .del. J has been suggested, which has been applied to a Stewart Platform in order to investigate the manipulability of this mechanism..

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웨이브렛 변환을 이용한 저주파에서 짧은 잔향 시간을 갖는 실음향에서의 잔향시간 측정에 관한 연구 (Measurement of Short Reverberation Times of an Acoustic Room at Low Frequencies Using Wavelet Transform)

  • 이상권
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 춘계학술대회논문집
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    • pp.1077-1080
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    • 2002
  • In building acoustics, reverberation time is an important acoustic parameter. However, it is often difficult to measure short reverberation times at low frequencies using the traditional band pass filter bank if the product of bandwidth (B) and reverberation time (T) is small. It is well known that the minimum permissible product of bandwidth and reverberation time of the traditional band pass filter is at least 16 [F. Jacobsen, J. Sound Vib. 115, 163-170 (1987)]. This strict requirement makes it difficult to measure short reverberation times of an acoustic room at low frequencies exactly. In order to reduce this strict requirement, recently, the wavelet filter bank is developed and the minimum permissible product of bandwidth and reverberation time is replaced with 4 [S. K. Lee, J, Sound Vib. 252, 141-153 (2002)]. In the present paper, it is demonstrated how the short reverberation times at low frequencies are successfully measured by using the wavelet filter bank. In order to present this job, two synthetic signals and one measured signal are used for impulse responses of an acoustic room.

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평면이방성을 고려한 사각엠보싱 공정의 미세면굴곡에 대한 연구 (A Study on the Surface Deflection in Rectangular Embossing Considering Planar Anisotropy)

  • 김진학;정완진
    • 소성∙가공
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    • 제22권6호
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    • pp.310-316
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    • 2013
  • Recently, numerical predictions of surface deflection based on curvature analysis have been developed. In the current study, a measure of surface deflection is proposed as the maximum variation of curvature difference between the panel and the tool in order to account for surfaces that have high curvature. The current study focused on the assessment of accuracy for the surface deflection prediction with the consideration of planar anisotropy. As an example, a shallow rectangular drawn part with rectangular embossing was considered. In terms of the proposed surface deflection measure, the maximum variation of curvature difference, the prediction with a planar anisotropic model shows better correspondence with experiment than the one using a normal anisotropic model.

인공토조용(人工土槽用) 6분역계(分力計) 개발(開發)에 관한 연구(硏究) (Development of Dynamometer for Soil Bin Experiment)

  • 박준걸;정창주;이규승;최창현;박원엽
    • Journal of Biosystems Engineering
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    • 제16권1호
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    • pp.9-17
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    • 1991
  • A dynamometer was designed and constructed to measure three directional forces and moments of pull type implement with eliminating the interference between the forces. The dynamometer consists of a linear motion bearing, self-aligning bearings, universal joints, and cantilevers where strain gages were attached. A data acuquisition system was developed to collect data and to analyze them. The data acuquisition system consists of the dynamometer, a potentiometer to measure the implement depth, strain amplifiers, a A/D converter, and an IBM-AT compatible microcomputer. Program, written in C language, was developed to read data from tranducers with given interval, to calculate forces and moments, to display them on screen, and to store them on disk. The calibration results showed that cantilevers had good linearity and there was no interference among directional forces. When applied loads were reduced with constant rate, hysteresis was appeared on the dynamometer. It might to be reduced by using ball bearings instead of self-aligning bearings.

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