• 한국수학사학회지
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• 제15권2호
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• pp.15-32
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• 2002

The first part of this thesis gives some brief explanation of the theory and history of imaginary elements in analytic geometry in the 19th century. The second part of this thesis discusses the theory of imaginary elements of synthetic geometry in the first half of the 19th century. Then the next part mentions the theory of imaginary elements of geometry in the second half of that same century. Particularly Christian von Staudt's and Felix Klein's theories are handled in this part. Von Staudt, who has completed the system of the synthetic projective geometry, used ‘involution’ in order to introduce a new concept ‘imaginary elements’- imaginary points, imaginary lines and imaginary plane-in synthetic geometry. Klein applied von Staudt's theory as he convey the result of the research in algebraic geometry in a picture. Von Staudt's and Klein's research may be regarded as the top of the effort to investigate possible relationship between real and imaginary structures.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1993년도 춘계학술대회 논문집
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• pp.97-101
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• 1993

In this work, the imaginary part of the inner modulation transfer function of the cutting dynamics is introduced for tool wear monitoring. Time-series method is utilized to construct the generalthree dimensional cutting dynamics whose imaginary part of the inner modulation transfer funcition shows the proportionality to tool wear at the natural frequency of the machine tool dynamics. This modelis reduced to single-input single- output model without altering the proporitonality characteristics to tool wear and implemented to the dual computer system in which one computer performs measurement while the other calculates the imaginary part of the inner modulation transfer function of th cutting dynamics by the batchleast square method. The values of the imaginary part at the natural frequencyof the machine tool structure in the cutting direction are compared to the one calculated during machining with a brand new tool to decide the current stants of the tool. The experiments shows the relevance of the proposed concept.

• 한국정밀공학회지
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• 제10권4호
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• pp.94-103
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• 1993

In this work, the imaginary part of the inner modulation transfer function of the cutting dynamics is introduced for tool wear monitoring. Time-series method is utilized to construct the general three dimensional cutting dynamics whose imaginary part of the inner modulation transfer funcition shows the proportionality to tool wear at the natural frequency of the machine tool dynamics. Thus model is reduced to single-input single-output model without altering the proportionality characteristics to tool wear and implemented to the dual computer system in which one computer performs measurement while the other calculates the imaginary part of the inner modulation transfer function of the cutting dynamics by the batch least square method. The values of the imaginary part at the natural requency of the machine tool structure in the cutting direction are compared to the one calculated during machining with a brand new tool to decide the current status of the tool. The experiments shows the relevance of the proposed concept.

• 한국세라믹학회지
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• 제28권7호
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• pp.556-560
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• 1991

The behavior of Ni-Zn ferrite/Mn-Zn ferrite composite electromagnetic absorber was investigated. The imaginary part of complex permeability of the composite was higher than that of either ferrite alone at all frequency range (50∼1400MHz) studied. The difference, which was pronounced in low frequency range, was reached the maximum value when the composite consisted of constituent ferrites with equal amount. Since the thickness in inversely proportional to the imaginary part of complex permeability for the ferrite absorber, it was possible to reduce the thickness of electromagnetic absorber by employing a composite of two different ferrites.

• 한국콘텐츠학회논문지
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• 제20권2호
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• pp.265-276
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• 2020

본 연구는 국내에서 출판된 그림책 중 상상친구를 주제로 한 총 30권의 그림책을 대상으로 상상친구 그림책의 출판 경향과 상상친구의 외적인 특성에 대해 연구하였다. 연구결과 첫째, 상상친구 그림책의 원전 출판 국가는 서구권의 나라가 대부분이었으며, 동양권에서는 한국과 일본에서 일부만 출판되었다. 분석된 책의 다수가 픽션 그림책이었으며, 상상친구와 관련된 책이 2000년 이후로 꾸준히 출판되고 있었다. 둘째, 그림책에서나타난 상상친구의 외적 특성은 주인공 및 상상친구의 성별, 주인공과 상상친구의 이름, 상상친구의 현시 여부, 상상친구의 유형, 상상친구의 수로 분석하여 결과를 나타내었다. 그림책에 나타난 상상친구를 가진 주인공은 여성의 비중이 남성보다 높았으며, 주인공의 이름과 함께 상상친구의 이름을 구체적으로 제시하고 있는 경우가 많았다. 분석된 그림책에서 상상친구가 주인공에게는 구체적 형태로 나타나고 있으나 주인공외 타인에게 보이지 않는 경우가 대부분이었다. 상상친구의 유형은 동물, 사람, 기타 순으로 나타났으며 주인공이 1명의 상상친구를 가진 경우가 많았다.

• Korean Journal of Mathematics
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• 제26권2호
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• pp.293-297
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• 2018

In the paper [4], we constructed 3-part of the Hilbert class field of imaginary quadratic fields whose class number is divisible exactly by 3. In this paper, we extend the result for any odd prime p.

• Structural Engineering and Mechanics
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• 제13권4호
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• pp.437-453
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• 2002

In this paper, dynamic stiffness and flexibility for circular membranes are analytically derived using an efficient mixed-part dual boundary element method (BEM). We employ three approaches, the complex-valued BEM, the real-part and imaginary-part BEM, to determine the dynamic stiffness and flexibility. In the analytical formulation, the continuous system for a circular membrane is transformed into a discrete system with a circulant matrix. Based on the properties of the circulant, the analytical solutions for the dynamic stiffness and flexibility are derived. In deriving the stiffness and flexibility, the spurious resonance is cancelled out. Numerical aspects are discussed and emphasized. The problem of numerical instability due to division by zero is avoided by choosing additional constraints from the information of real and imaginary parts in the dual formulation. For the overdetermined system, the least squares method is considered to determine the dynamic stiffness and flexibility. A general purpose program has been developed to test several examples including circular and square cases.

• 한국인터넷방송통신학회논문지
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• 제12권5호
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• pp.107-114
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• 2012

본 논문은 기존 블라인드 등화기의 성능인 수렴 특성과 잔류 부호간 간섭의 영향을 경감시키기 위해 축소 신호점을 사용하고 비용 함수를 실수부와 허수부로 분리하여 처리하는 한 이중 구조 CR-CMA(Constellation Reduction CMA)에 관한 것이다. 기존의 CMA는 진폭만을 보상하고 위상은 보상을 하지 못하며, 이를 해결하기 위해 MCMA(Modified CMA)는 비용 함수만을 실수부와 허수부를 따로 처리하여 진폭과 위상을 보상하지만 진폭의 보상 능력과 초기 수렴 속도에서는 CMA보다 성능이 열악해지는 문제점이 있다. 제안하는 이중 구조 CR-CMA는 CMA와 MCMA(Modified CMA) 알고리즘 장점만을 살릴 수 있도록 비용 함수와 오차 함수를 실수부와 허수부로 나누어 처리하고 축소 신호점을 적용할 수 있도록 개량하여 진폭과 위상의 보상, 빠른 수렴 속도 및 잔류 ISI와 MD(Maximum Distortion) 량의 감소 그리고 MSE(Mean Square Error)와 양호한 심볼 오류율 (SER : symbol error ratio) 특성을 얻을 수 있음을 컴퓨터 시뮬레이션으로 확인하였다.

• 한국전기전자재료학회논문지
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• 제24권9호
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• pp.744-749
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• 2011

Recently, annual usage of energy is dramatically increasing because industrialization is going faster and more electricity is needed due to various electronic devices. This study focused on the performance characteristics of solar cell using the impedance technique. The experiment measured an impedance according to frequency's from 2 mHz until 1 MHz. It could know that the impedance was decreased according to the frequency increases in solar cell. The imaginary part was changed from capacitance component to inductance component.

• Wind and Structures
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• 제10권1호
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• pp.61-82
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• 2007

This paper presents a novel finite element (FE) model for analyzing coupled flutter of long-span bridges using the commercial FE package ANSYS. This model utilizes a specific user-defined element Matrix27 in ANSYS to model the aeroelastic forces acting on the bridge, wherein the stiffness and damping matrices are expressed in terms of the reduced wind velocity and flutter derivatives. Making use of this FE model, damped complex eigenvalue analysis is carried out to determine the complex eigenvalues, of which the real part is the logarithm decay rate and the imaginary part is the damped vibration frequency. The condition for onset of flutter instability becomes that, at a certain wind velocity, the structural system incorporating fictitious Matrix27 elements has a complex eigenvalue with zero or near-zero real part, with the imaginary part of this eigenvalue being the flutter frequency. Case studies are provided to validate the developed procedure as well as to demonstrate the flutter analysis of cable-supported bridges using ANSYS. The proposed method enables the bridge designers and engineering practitioners to analyze flutter instability by using the commercial FE package ANSYS.