• Title/Summary/Keyword: Complex Conjugate

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Electrochemical Method for Detecting Hippuric Acid Using Osmium-antigen Conjugate on the Gold Nanoparticles Modified Screen-printed Carbon Electrodes

  • Choi, Young-Bong;Kim, Hyug-Han
    • Journal of Electrochemical Science and Technology
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    • v.2 no.1
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    • pp.57-61
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    • 2011
  • This paper describes an electrochemical immunoassay for simple, fast and quantitative detection of a urinary hippuric acid which is one of major biological indicator in toluene-exposed humans. The electrochemical system of immunoassay was based on the directly osmium complex conjugated with hippuric acid. With the competition between free hippuric acid (HA) and the osmium-hippuric acid conjugate (Os-HA) to bind with antibody hippuric acid (Anti-HA) coated onto gold nanoparticles, the electrical signals were proportional to urinary hippuric acid (HA) in the range of 0.01-5 mg/mL which is enough range to be used for in-field or point-of-care (POC) diagnosis. The proposed electrochemical method can be extended to the applications to detect a wide range of different small molecules in the field of health care.

Free and transient responses of linear complex stiffness system by Hilbert transform and convolution integral

  • Bae, S.H.;Cho, J.R.;Jeong, W.B.
    • Smart Structures and Systems
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    • v.17 no.5
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    • pp.753-771
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    • 2016
  • This paper addresses the free and transient responses of a SDOF linear complex stiffness system by making use of the Hilbert transform and the convolution integral. Because the second-order differential equation of motion having the complex stiffness give rise to the conjugate complex eigen values, its time-domain analysis using the standard time integration scheme suffers from the numerical instability and divergence. In order to overcome this problem, the transient response of the linear complex stiffness system is obtained by the convolution integral of a green function which corresponds to the unit-impulse free vibration response of the complex system. The damped free vibration of the complex system is theoretically derived by making use of the state-space formulation and the Hilbert transform. The convolution integral is implemented by piecewise-linearly interpolating the external force and by superimposing the transient responses of discretized piecewise impulse forces. The numerical experiments are carried out to verify the proposed time-domain analysis method, and the correlation between the real and imaginary parts in the free and transient responses is also investigated.

Optical Implementation of Incoherent Holographic 3D Display System using Modified Triangular and Mach-Zehender Interferometer (변형된 삼각 및 마하젠더 간섭계 기반의 인코히어런트 홀로그래픽 3D 디스플레이 시스템의 광학적 구현)

  • 김승철;구정식;김은수
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.4C
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    • pp.524-532
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    • 2004
  • In this paper, an incoherent holographic 3D imaging and display system based on the modified triangular and Mach-Zehnder interferometers is optically implemented and some experiments are carried out. Incoherent hologram of a 3D object is generated by using the hologram input system of modified triangular interferometer. Then this complex hologram is reconstructed by using the hologram output system of modified Mach-Zehnder interferometer in which two LCD spatial light modulators and a waveplate are inserted. From the experiment with two point sources having a depth difference of 100 mm each other, it is revealed that each point source can be independently reconstructed at its own focal position from the complex hologram, while both of the bias and conjugate image are simultaneously eliminated at the same time. And in the experiment with the real 3D object of two dices having a depth difference of 30 mm each other, it is also conformed that the bias and conjugate image can be effectively eliminated from the hologram pattern and each 3D dice can be also successfully reconstructed at its own focal position from the complex hologram. These experiment results finally suggest a possibility of implementing a new incoherent holographic 3D imaging and display system using the modified triangular and Mach-Zehender interferometers.

Consideration about phase error of the MTI system (변형 삼각간섭계에서의 위상오차에 관한 고찰)

  • Kim, Soo-Gil;Ko, Myung-Sook
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2007.11a
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    • pp.169-171
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    • 2007
  • We need two operation modes to obtain the complex hologram without bias and the conjugate image in the modified triangular interferometer(MTI). To solve the problem, we proposed the optimized MTI with one wave plate, which can obtain cosine and sine functions by the combination of one wave plate and one linear polarizer. In the extraction of phase term using the combination of polarization components, the phase error occurs, and we simulated such potential phase errors in the optimized MTI.

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Optimization of Modified Triangular Interferometer (MNT 시스템에서의 편광소자에 의한 위상오차분석)

  • Kim, Soo-Gil;Ko, Myung-Sook
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2007.05a
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    • pp.117-119
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    • 2007
  • We need two operation modes to obtain the complex hologram without bias and the conjugate image in the modified triangular interferometer(MTI). To solve the problem, we proposed the optimized MTI with one wave plate, which can obtain cosine and sine functions by the combination of one wave plate and one linear polarizer. In the extraction of phase term using the combination of polarization components, the phase error occurs, and we analyzed such potential phase errors in the optimized MTI.

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A Study on the Effects of Added Zeros to the System with a Monotone Nondecreasing Step Response

  • Kwon, Byung-Moon;Lee, Hyun-Seok;Kwon, Oh-Kyu
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.44.4-44
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    • 2002
  • This paper investigates some conditions such that zeros are added to the system with a monotone nondecreasing step response in order to hold the monotonicity as before. Two conditions are presented for the cases that a real zero and complex conjugate zeros are added to the system satisfying the monotonicity condition, respectively. To exemplify the proposed results, some simple examples via computer simulation are shown in this paper. Proposed conditions can be easily used in the control system design since they are only formulated in terms of pole-zero configurations.

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RELATIONS OF L-REGULAR FUNCTIONS ON QUATERNIONS IN CLIFFORD ANALYSIS

  • KANG, HAN UL;SHON, KWANG HO
    • East Asian mathematical journal
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    • v.31 no.5
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    • pp.667-675
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    • 2015
  • In this paper, we provide some properties of several left regular functions in Clifford analysis. We find the corresponding Cauchy-Riemann system and conjugate harmonic functions of the harmonic functions, for each left regular function in the sense of several complex variables. And we investigate certain properties of generalized quaternions in Clifford analysis.

Phase Error due to Polarization Components of the Modified Triangular Interferometer

  • Kim, Soo-Gil
    • Journal of the Optical Society of Korea
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    • v.11 no.1
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    • pp.10-17
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    • 2007
  • We need two operation modes to obtain the complex hologram without bias and the conjugate image in the modified triangular interferometer (MTI). To solve the problem, we proposed the optimized MTI with one wave plate, which can obtain cosine and sine functions by the combination of one wave plate and one linear polarizer. In the extraction of phase term using the combination of polarization components, the phase error occurs, and we analyzed such potential phase errors in the optimized MTI.

Total Synthesis of (±)-Aspidospermidine Starting from 3-Ethyl-5-bromo-2-pyrone

  • Cho, Hyun-Kyu;Tam, Nguyen Thanh;Cho, Cheon-Gyu
    • Bulletin of the Korean Chemical Society
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    • v.31 no.11
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    • pp.3382-3384
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    • 2010
  • A new synthetic route to ($\pm$)-aspidospermidine was devised, starting from the cycloadduct of 3-ethyl-5-bromo-2-pyrone with vinyl sulfide through a tandem conjugate addition-alkylation sequence. The requisite 3-ethyl-5-bromo-2-pyrone was prepared via the C3-selective Pd-catalyzed coupling reaction with $Et_3Al$-dimethylaminoethanol complex.

ON A GENERALIZATION OF THE P$\'{O}$LYA-WIMAN CONJECTURE

  • Kim, Young-One
    • Communications of the Korean Mathematical Society
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    • v.9 no.4
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    • pp.825-830
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    • 1994
  • This paper is concerned with the zeros of successive derivatives of real entire functions. In order to state our results, we introduce the following notations : An entire function which assumes only real values on the real axis is said to be a real entire function. Thus, if a complex number is a zero of a real entire function, then its conjugate is also a zero of the same function.

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