• Title/Summary/Keyword: mathematical expression

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Kinetic Modeling of Simultaneous Saccharification and Fermentation for Ethanol Production Using Steam-Exploded Wood with Glucose- and Cellobiose-Fermenting Yease, Brettanomyces custersii

  • Moon, Hyun-Soo;Kim, Jun-Seok;Oh, Kyeong-Keun;Kim, Seung-Wook;Hong, Suk-In
    • Journal of Microbiology and Biotechnology
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    • v.11 no.4
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    • pp.598-606
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    • 2001
  • A mathematical model is proposed that can depict the kinetics of simultaneous saccharification and fermentation (SSF) using steam-exploded wood(SEW) with a glucose- and cellobiose-fermenting yeast strain. Brettanomyces custersii. An expression to describe the reduction of the relative digestibility during the hydrolysis of the SEW is introduced in the hydrolysis model. The fermentation model also takes two new factors into account, that is, the effects of the inhibitory compounds present in the SEW hydrolysates on the microorganism and the fermenting ability of Brettanomyces custersii, which can use both glucose and cellobiose as carbon sources. The model equations were used to simulate the hydrolysis of the SEW, the fermentation of the SEW hydrolysates, and a batch SSF, and the results were compared with the experimental data. The model was found to be capable of representing ethanol production over a range of substrate concentrations. Accordingly, the limiting factors in ethanol production by SSF under the high concentration of the SEW were identified as the effect of inhibitory compounds present in the SEW, the enzyme deactivation, and a limitation in the digestibility based on the physical condition of the substrate.

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Symbol Error Probability of DVB-S2 System with I/Q Unbalances (I/Q 불균형이 고려된 DVB-S2 시스템의 심벌 오류 확률)

  • Im, In-Chul;Won, Seung-Chan;Yoon, Dong-Weon;Park, Sang-Kyu
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.9C
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    • pp.810-819
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    • 2007
  • The I/Q unbalance which is generated by non-ideal components such as a $90^{\circ}$ phase shifter and I/Q filters is an inevitable physical phenomenon and leads to performance degradation when we implement a coherent two-dimensional (2-D) modulation/demodulation system. This paper provides an exact and general expression for the SEP(symbol error probability) of DVB-S2 system with I/Q phase and amplitude unbalance over AWGN channel. Coordinate rotation and shift techniques used to redefine a received signal are key mathematical tools. In conclusion, the derived result is expressed as a linear combination of the 2-D Gaussian Q-functions.

A Study on the development of Tuna Purse Seiner (참치 선망 어선의 선형개발에 관한 연구)

  • 김인철
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.35 no.3
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    • pp.335-342
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    • 1999
  • The purpose of present research is to develop and efficient numerical method for the calculation of potential flow and predict the wave-making resistance for the application to ship design of tuna purse seiner. Havelock was considered the wave resistance of a post extending vertically downwards through the water from the surface, its section by a horizontal plane being the same at all depths and having its breadth small compared with its length. This enables us to elucidate certain points of interest in ship resistance. However, the ship has not infinite draft. So, the problem which is investigated ind detail in this paper is the wave resistance of a mathematical quadratic model in a uniform stream. The paper deals with the numerical calculation of potential flow around the series 60 with forward velocity by the new slender ship theory. This new slender ship theory is based on the asymptotic expression of the Kelvin-source, distributed over the small matrix at each transverse section so as to satisfy the approximate hull boundary condition due to the assumption of slender body. The numerical results using the panel shift method and finite difference method are compared with the experimental results for wigley mono hull. There are no differences in the wave resistance. However, it costs much time to compute not only wave resistance but also wave pattern over some range of Froude numbers. More improvements are strongly desired in the numerical procedure.

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A Representation of Green Function Using Discrete Wavelet Concept for Fast Field Analysis (고속 전자파 해석을 위한 그린 함수의 이산 웨이블릿 표현법)

  • Kim Hyung-Hoon;Park Jong-Il;Kim Hyeong-Dong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.17 no.9 s.112
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    • pp.895-899
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    • 2006
  • A compact representation of Green function is proposed by applying the discrete wavelet concept in the k-domain, which can be used for the acceleration of scattered field calculations in integral equation methods. Since the representation of Green function is very compact in the joint spatio-spectral domain, it can be effectively utilized in the fast computation of radiation integral of electromagnetic problems. A mathematical expression of Green function based on the discrete wavelet concept is derived and its characteristics are discussed.

Nonlinear Dynamic Model of Escherichia coli Thiamine Pyrophosphate Riboswitch

  • Loong, Stanley NG Kwang;MISHRA, Santosh K.
    • Proceedings of the Korean Society for Bioinformatics Conference
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    • 2005.09a
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    • pp.421-426
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    • 2005
  • In this paper, we investigate the nonlinear dynamic behavior of TPP (thiamine pyrophosphate) riboswitches in E. coli (Escherichia coli). TPP riboswitches are highly conserved RNA regulatory elements, embedded within the 5’'untranslated region of three TPP biosynthesis operons. The three operons thiCEFSGH, thiMD, and thiBPQ are involved in the biosynthesis, salvage, and transport of TPP, respectively. TPP riboswitches modulate their expressions in response to changing TPP concentration, without involving protein cofactors. Interestingly, the expression of thiMD is regulated at the translational level, while that of thiCEFSGH at both levels of transcription and translation. We develop a mathematical model of the TPP riboswitch’s regulatory system possessed by thiCEFSGH and thiMD, so as to simulate the time-course experiments of TPP biosynthesis in E. coli. The simulation results are validated against three sets of reported experimental data in order to gain insight into the nature of steady states and the stability of TPP riboswitches, and to explain the biological significance of regulating at level of transcription or translation, or even both. Our findings suggest that in the TPP biosynthesis pathway of E. coli, the biological effect of down-regulating thiCEFSGH operon at the translational level by TPP riboswitch is less prominent than that at the transcriptional level.

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Derivation of Acoustic Target Strength Equation Considering Pulse Type of Acoustic Signal (펄스 타입의 음향신호를 고려한 음향표적강도 이론식 개발)

  • Kim, Ki-June;Hong, Suk-Yoon;Kwon, Hyun-Wung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.812-819
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    • 2007
  • Acoustic Target Strength (TS) is a major parameter of the active sonar equation, which indicates the ratio of the radiated intensity from the source to the re-radiated intensity by a target. This research provides the time pattern of TS in time domain, which is applicable to pulse modulated acoustic pressure field. If the time pattern of TS is predicted by using TS equation in frequency domain, it takes long time and difficult since time function pulsed acoustic wave may be decomposed into their frequency domain components. But TS equation in time domain has a convenience. If the expression for pulsed acoustic field has been obtained, the problem can be solved. Furthermore this paper introduces about mathematical equivalence quantities between EM wave and Acoustic Wave.

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Application of Neural Network Adaptive Control for Real-time Attitude Control of Multi-Articulated Robot (다관절 로봇의 실시간 자세제어를 위한 신경회로망 적응제어의 적용)

  • Lee, Seong-Su;Park, Wal-Seo
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.25 no.9
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    • pp.50-55
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    • 2011
  • This research is to apply the adaptive control of neuron networks for the real-time attitude control of Multi-articulated robot. Multi-articulated robot is expressed with a complicated mathematical model on account of the mechanic, electric non-linearity which each articulation of mechanism has, and includes an unstable factor in time of attitude control. If such a complex expression is included in control operation, it leads to the disadvantage that operation time is lengthened. Thus, if the rapid change of the load or the disturbance is given, it is difficult to fulfill the control of desired performance. In this research we used the response property curve of the robot instead of the activation function of neural network algorithms, so the adaptive control system of neural networks constructed without the information of modeling can perform a real-time control. The proposed adaptive control algorithm generated control signs corresponding to the non-linearity of Multi-articulated robot, which could generate desired motion in real time.

Theoretical Stiffness of Cracked Reinforced Concrete Elements (철근콘크리트 부재의 균열 후 강성 이론)

  • 김장훈
    • Journal of the Korea Concrete Institute
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    • v.11 no.5
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    • pp.79-88
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    • 1999
  • The purpose of this paper is to develop a mathematical expression for computing crack angles based on reinforcement volumes in the longitudinal and transverse directions, member end-fixity and length-to-width aspect ratio. For this a reinforced concrete beam-column element is assumed to possess a series of potential crack planes represented by a number of differential truss elements. Depending on the boundary condition, a constant angle truss or a variable angle truss is employed to model the cracked structural concrete member. The truss models are then analyzed using the virtual work method of analysis to relate forces and deformations. Rigorous and simplified solution schemes are presented. An equation to estimate the theoretical crack angle is derived by considering the energy minimization on the virtual work done over both the shear and flexural components the energy minimization on the virtual work done over both the shear and flexural components of truss models. The crack angle in this study is defined as the steepest one among fan-shaped angles measured from the longitudinal axis of the member to the diagonal crack. The theoretical crack angle predictions are validated against experimentally observed crack angle reported by previous researchers in the literature. Good agreement between theory and experiment is obtained.

Manufacture and Estimation of Two phase driver for Linear Pulse Motor (리니어펄스모터의 2상 구동드라이버 제작 및 평가)

  • Kim, Dong-Hee;Kang, Geon-Il;Ahn, Jae-Young;Kim, Kwang-Heon;Lim, Young-Cheol;Park, Sung-Jun
    • Proceedings of the KIPE Conference
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    • 2007.11a
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    • pp.69-71
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    • 2007
  • Need correct analysis of thrust for control performance improvement of HB-LPM (Hybrid type Linear Pulse Motor). It is difficult to analyze HB-LPM's thrust. In this paper, HB-LPM's thrust is expressed to mathematical expression. And it is proved validity of this numerical formula by thrust measurement system. Two phase driver is composed. It is verified validity of numerical formula that measure waveform of electric current and voltage that is supplied in each phase. In this study, composed two phase drive driver, advantage of this IGBT element 6 by accumulated IPM module 1 Driver composition possible. That is, can economize 1 moule. In other words, Driver composition is available by IGBT or metal oxide semiconductor field effect transistor element 4. This is economical big gain.

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Two phase driver manufacture of Hybrid type Linear Pulse Motor and estimation (하이브리드형 선형펄스모터의 2상 구동드라이버 제작 및 평가)

  • Kim, Dong-Hee;Ahn, Jae-Young;Kang, Geon-Il;Kim, Kwang-Heon;Lim, Young-Cheol;Park, Sung-Jun
    • Proceedings of the KIEE Conference
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    • 2007.10c
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    • pp.28-30
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    • 2007
  • Need analysis of correct thrust for control performance improvement of HB-LPM (Hybrid type Linear Pulse Motor). It is difficult to analyze HB-LPM's thrust. In this paper, HB-LPM's thrust is expressed to mathematical expression. And it is proved validity of this numerical formula by thrust measurement system. Two phase driver is composed. It is verified validity of numerical formula that measure waveform of electric current and voltage that is supplied in each Phase. In this study, composed two phase drive driver, advantage of this IGBT element 6 by accumulated IPM module 1 Driver composition possible. That is, can economize 1 module. In other words, Driver composition is available by IGBT or metal oxide semiconductor field effect transistor element 4. This is economical big gains.

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