• Title/Summary/Keyword: 위상(수)학

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Sea Level Variability at a Synoptic Band along the East Coast of Korea and its Causal Mechanism (한국 동해연안의 종관주기 해수면 변동 특성과 발생원인)

  • Jung, Sung-Yun;Yun, Jae-Yul;Park, Tae-Wook;Lim, Se-Han;Oh, Im-Sang
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.13 no.2
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    • pp.89-105
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    • 2008
  • Sea level and atmospheric pressure data of 1999-2005 from four stations along the Korean east coast were analyzed to understand the sea level variability and its causal mechanism. The results of the wavelet and the auto-spectrum analyses indicate that the sea level fluctuations of 3-17 day period are statistically significant at the 95% confidence level, especially in spring to early summer. In this period, the coherency between the sea levels and the atmospheric pressures in a cross-spectrum is high, implying the importance of an inverted barometric effect in generation of the sea level fluctuations. To learn about the sea level variability, the cross-spectrum analyses were applied between the sea levels of the adjacent stations. The results show a case of southward phase propagations along the coast, as in 1999, 2003 and 2005, and an another case of no progressive phase lags between the stations, as in 2000-2002, and 2004. The phase speed in the former case is 12-15 m/s, which is a commonly observed phase speed of coastal Kelvin waves. Generation of such fluctuations seems to be related to low pressure cells developed in the Asian continent in spring and summer and moving eastward over the coastal region north of the stations. The latter case of no progressive phase lag, however, occurs when the low pressure cells developed in the continent move along the region south of the stations. In this case, the northeastward phase propagation with a speed of 5-8 m/s is observed along the southwestern coast of Japan.

A study of the hologram which records the interference of light with computer (컴퓨터로 빛의 간섭을 기록하는 홀로그램(CGH)의 특성 연구)

  • Lee, Jeong-Yeong;Jang, Woo-Yeong
    • Journal of Korean Ophthalmic Optics Society
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    • v.10 no.4
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    • pp.305-312
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    • 2005
  • In this thesis, Lohmann's algorithm and FFT (fast Fourier transform) are used to synthesize binary-phase holograms. FFT computing is carried out for the calculation of complex wavefronts of $128{\times}128$ sampling points of an object that is numerically specified. Then using the Lohmann's algorithm, the amplitude and the phase of complex wavefronts are encoded in binary holograms on each sampling points. PC (personal computer) and laser printer are used to plot binary-phase holograms and CGH (computer generated holograms) films are obtained from this plot by photographic reduction. Holographic images of numerically specified objects are reconstructed from the He-Ne laser and the inverse Fourier optics system. We estimate the quality of holographic images according to the sampling number, application of random phase, amplitude clipping and bleaching the CGH film. We derive optimized conditions to reconstruct better holographic images and to reduce the speckle noise. FFT and Lohmann's algorithm are implemented with MS Visual BASIC 6.0 for the programming of binary-phase hologram.

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Understanding Lacan's Psychology through the Mathematical Concepts and its Application (수학적 개념을 통한 라깡의 심리학에 대한 이해와 그 응용)

  • Kim, Jae-Ryong
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.45-55
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    • 2014
  • Lacan gives an explanation on our real actual world by the concepts the "Real", the "Imaginary" and the "Symbolic". Although this three registers are not far from each other, they never can be unified. Among animals, only human has interest in the "truth". The concept of truth is discussed and debated in several contexts, including philosophy and religion. Many human activities depend upon the concept, which is assumed rather than a subject of discussion, including science, law, and everyday life. Language and words are a means by which humans convey information to one another, and the method used to determine what is a "truth" is termed a criterion of truth. Accepting then that "language is the basic social institution in the sense that all others presuppose language", Lacan found in Ferdinand de Saussure's linguistic division of the verbal sign between signifier and signified a new key to the Freudian understanding that "his therapeutic method was 'a talking cure'". The purpose of this paper is to understand Lacan's psychology and psychoanalysis by using the mathematical concepts and mathematical models, especially geometrical and topological models. And re-explanation of the symbolic model and symbols can help students understand new ideas and concepts in the educational scene.

Linguistic Analysis of Bumwoo KIM Chi Young's Cogitation on Mathematics (범우 김치영선생의 수학에 대한 사유의 언어적 분석)

  • Lee, Kang Sup;Lee, Hyun Soo
    • Communications of Mathematical Education
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    • v.32 no.2
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    • pp.207-223
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    • 2018
  • In this study, we studied Bumwoo KIM Chi Young's cogitation on mathematics, and analyzed his typical 3 essays on mathematics by KoNLP. Approximately 80% of Bumwoo's sentences consist of less than 30. His writing became clearer over the years. It is verified from the mean and standard deviation of the number of words in a sentence are decreasing. Bumwoo emphasized the structure in mathematics, and he was a strong advocate of importancy on axiom, topolized and category as the characteristics of modern mathematics. In particular, it can be seen that the relations between 'mathematics', 'axiom', 'structure', 'Euclid', 'axiomatic system' and 'set' were his main topic.

Elasticity and Viscosity Control of an Ultrasonic Motor by a Phase Difference Control (초음파 모터의 위상차 조절에 의한 점탄성 제어)

  • 우수용;이권현;오금곤;정헌상;김영동
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.11 no.5
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    • pp.86-92
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    • 1997
  • An ultrasonic motor(USM) has good characteristics such as compact size, silent motion, high speed responce, low speed and high torque. The USM is driven by 2-phase AC electricity. The control parameters of USM are voltage, phase, and frequency of input powers, etc. In this paper, the fine elasticity and viscosity control with no force feedback can be implemented by a phase difference parameter. Experiment results show the change of torque with regard to elasticity and viscosity. Therefore the USM can be used as a micro-actuator in the automation field of the installation.

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Identification of Acoustic Signals of Vehicles Using Bispectrum (바이스펙트럼을 이용한 차량의 음향식별)

  • An, Chong-Koo;Lee, Dong-Min;Lee, Tai-Ho
    • The Journal of the Acoustical Society of Korea
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    • v.11 no.1
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    • pp.5-13
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    • 1992
  • Since power spectrum has no information about the phase of a signal, the power spectral analysis technique can not be used to interpret the phase coherency of the signal produced by some nonlinear process. In this case, third-order spectrum, the so called bispectrum, is very useful in analyzing such signals. some typical computer simulation results are shown in order to represent the usefulness of the bispectrum, and the bispectra of the measured acoustic signals of three vehicles are shown in order to use to identify the sources of those signals.

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Design and Realization of Phase Sensitive Detector Circuitry of Two-Channel Ring-Core Flux-Gate Compass (2-체널 링-코어 플럭스-게이트 콤파스의 위상검출 회로 설계와 구현에 관한 연구)

  • Yim, Jeong-Bin
    • Journal of Navigation and Port Research
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    • v.26 no.1
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    • pp.127-136
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    • 2002
  • This paper Presents a discussion on the design and realization for the Phase Sensitive Defector (PSD) circuitry of Flu$\chi$-gate Compass that gives direction information to the Directional Frequency Analysis and Recording (DIFAR) Sonobuoy in Air Anti-Submarine Warfare. PSD circuitry is realized with Twin-T RC networked active band-pass filter. Results of a performance test the PSD circuitry shows that the effectiveness of band-pass filtering of desired $2F_0$ second harmonic signal, which is Pro- portional to the direction of earth's magnetic field. This resulted in the extraction of direction information.

Triangular Grid Homogenization Using Local Improvement Method (국소개선기법을 이용한 삼각격자 균질화)

  • Choi, Hyung-Il;Jun, Sang-Wook;Lee, Dong-Ho;Lee, Do-Hyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.8
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    • pp.1-7
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    • 2005
  • This paper proposes a local improvement method that combines extended topological clean up and optimization-based smoothing for homogenizing triangular grid system. First extended topological clean up procedures are applied to improve the connectivities of grid elements. Then, local optimization-based smoothing is performed for maximizing the distortion metric that measures grid quality. Using the local improvement strategy, we implement the grid homogenizations for two triangular grid examples. It is shown that the suggested algorithm improves the quality of the triangular grids to a great degree in an efficient manner and also can be easily applied to the remeshing algorithm in adaptive mesh refinement technique.

The Analysis of Amplitude and Phase Image for Acoustic Microscope Using Quadrature Technique (쿼드러춰 방식에 의한 초음파현미경의 진폭과 위상영상 분석)

  • Kim, Hyun;Jun, Kye-Suk
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.3
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    • pp.55-61
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    • 1999
  • In this study, we have constructed the acoustic microscope using quadrature technique and analyzed the relative variation of image intensity and the quality of image by reconstructing the amplitude and phase image for surface defects with tiny hight variation. In this experiment, we have constructed the scanning acoustic microscope using the focused transducer with 3㎒ center frequency and the quadrature detector. And we have fabricated aluminum samples with round defects whose depth is different and reconstructed the amplitude and phase images for the samples. One sample has round defects with 2㎜ diameter and 100㎛ depth and the other has round defects with 4㎜ diameter and 5㎜ depth. In the result of line scanning for the sample with 100㎛ round defects, it has been shown that the variation rate of amplitude image intensity is 7% and the variation rate of phase image intensity is 89%. The phase image has better contrast than amplitude image for the sample. In contrast to this, the amplitude image has better contrast than phase image for the sample with 5㎜ depth's defects. Accordingly there is big difference between amplitude image and phase image for depth variation of defects whose boundary is 1 wavelength. Consequently the acoustic microscope using quadrature detector can be evaluated efficiently more than using envelope detector, for detecting defects which have height variation less than 1 wavelength. And also the phase image and the amplitude image can be used for detecting defects of tiny height variation with complimentary relation.

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A study to 3D dose measurement and evaluation for Respiratory Motion in Lung Cancer Stereotactic Body Radiotherapy Treatment (폐암의 정위적체부방사선치료시 호흡 움직임에 따른 3D 선량 측정평가)

  • Choi, Byeong-Geol;Choi, Chang-Heon;Yun, Il-Gyu;Yang, Jin-Seong;Lee, Dong-Myeong;Park, Ju-Mi
    • The Journal of Korean Society for Radiation Therapy
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    • v.26 no.1
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    • pp.59-67
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    • 2014
  • Purpose : This study aims to evaluate 3D dosimetric impact for MIP image and each phase image in stereotactic body radiotherapy (SBRT) for lung cancer using volumetric modulated arc therapy (VMAT). Materials and Methods : For each of 5 patients with non-small-cell pulmonary tumors, a respiration-correlated four-dimensional computed tomography (4DCT) study was performed. We obtain ten 3D CT images corresponding to phases of a breathing cycle. Treatment plans were generated using MIP CT image and each phases 3D CT. We performed the dose verification of the TPS with use of the Ion chamber and COMPASS. The dose distribution that were 3D reconstructed using MIP CT image compared with dose distribution on the corresponding phase of the 4D CT data. Results : Gamma evaluation was performed to evaluate the accuracy of dose delivery for MIP CT data and 4D CT data of 5 patients. The average percentage of points passing the gamma criteria of 2 mm/2% about 99%. The average Homogeneity Index difference between MIP and each 3D data of patient dose was 0.03~0.04. The average difference between PTV maximum dose was 3.30 cGy, The average different Spinal Coad dose was 3.30 cGy, The average of difference with $V_{20}$, $V_{10}$, $V_5$ of Lung was -0.04%~2.32%. The average Homogeneity Index difference between MIP and each phase 3d data of all patient was -0.03~0.03. The average PTV maximum dose difference was minimum for 10% phase and maximum for 70% phase. The average Spain cord maximum dose difference was minimum for 0% phase and maximum for 50% phase. The average difference of $V_{20}$, $V_{10}$, $V_5$ of Lung show bo certain trend. Conclusion : There is no tendency of dose difference between MIP with 3D CT data of each phase. But there are appreciable difference for specific phase. It is need to study about patient group which has similar tumor location and breathing motion. Then we compare with dose distribution for each phase 3D image data or MIP image data. we will determine appropriate image data for treatment plan.