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SPACE CURVES SATISFYING $\Delta$H = AH

  • Kim, Dong-Soo;Chung, Hei-Sun
    • Bulletin of the Korean Mathematical Society
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    • v.31 no.2
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    • pp.193-200
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    • 1994
  • Let x : $M^{n}$ .rarw. $E^{m}$ be an isometric immersion of a manifold $M^{n}$ into the Euclidean space $E^{m}$ and .DELTA. the Laplacian of $M^{n}$ defined by -div.omicron.grad. The family of such immersions satisfying the condition .DELTA.x = .lambda.x, .lambda..mem.R, is characterized by a well known result ot Takahashi (8]): they are either minimal in $E^{m}$ or minimal in some Euclidean hypersphere. As a generalization of Takahashi's result, many authors ([3,6,7]) studied the hypersurfaces $M^{n}$ in $E^{n+1}$ satisfying .DELTA.x = Ax + b, where A is a square matrix and b is a vector in $E^{n+1}$, and they proved independently that such hypersurfaces are either minimal in $E^{n+1}$ or hyperspheres or spherical cylinders. Since .DELTA.x = -nH, the submanifolds mentioned above satisfy .DELTA.H = .lambda.H or .DELTA.H = AH, where H is the mean curvature vector field of M. And the family of hypersurfaces satisfying .DELTA.H = .lambda.H was explored for some cases in [4]. In this paper, we classify space curves x : R .rarw. $E^{3}$ satisfying .DELTA.x = Ax + b or .DELTA.H = AH, and find conditions for such curves to be equivalent.alent.alent.

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Cloning of Bacillus amyloliquefaciens amylase gene using YRp7 as a vector I. Expression of cloned amylase gene in Escherichia coli (YRp 7 vector를 이용한 Bacillus amyloliquefaciens amylase gene의 cloning I. Escherichia coli에서의 발현)

  • 서정훈;김영호;전도연;홍순덕;조윤래
    • Microbiology and Biotechnology Letters
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    • v.14 no.2
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    • pp.161-168
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    • 1986
  • A 1.95Kb Sau3Al fragment coding for $\alpha$-amylase from Bacillus amyloliquefaciens was isolated by the shotgun method using Escherichia coli as a host. The genome of Bacillus amyloliquefaciens was partially digested with the restriction endonuclease Sau3Al and joined to plasmid YRp7 cleaved with the restriction endonuclease BamHI. The $\alpha$-amylase gene present in a 1.95Kb insert was stably maintained and expressed in Escherichia coli. The amount of $\alpha$-amylase activity produced by Escherichia coli containing the hybrid plasmid pEA24 was about 65% of the activity produced by the donor Bacillus amyloliquefaciens strain. The properties of $\alpha$-amylase produced by Escherichia coli were very similar to those produced by Bacillus amyloliquefaciens as based on optimum temperature, pH, and effect of CaCl$_2$ concentration. About 70% of the $\alpha$-amylase produced by Escherichia coli was localized in the periplasmic space, whereas the remaining enzyme was localized in the inner part of the cell.

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Lactobacillus casei YIT 9018의 Shuttle Vector 개발을 위한 분자유전학적 연구

  • Yoo, Min;Nam, Jin-Sik;Kwon, Oh-Sik;Baek, Young-Jin
    • Microbiology and Biotechnology Letters
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    • v.25 no.5
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    • pp.464-467
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    • 1997
  • A shuttle vector, pSHvec, was constructed for Lactobacillus casei (L. casei) YIT 9018 and JM1O9 by recombinant DNA technology. This vector contained the $\beta$-lactamase II gene from Bacillus cereus as a selection marker and replication origins for both Gram(+) and Gram(-) strains. It could transform the wild type L. casei YIT 9018 as well as E. coli JM109 and transformed cells were selected based on antibiotics resistance. The ability of L. casei YIT 9018 for curd formation in 11% skim milk was maintained even after transformation with pSHvec. The vector was stable as long as antibiotics were added to the medium. These results could contribute to the study of lactic acid bacteria for the industrial purpose at a genetic level.

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A plasmid vector faciliting gene expression in both yeast and mammalian cells

  • Lee, Tae-Ho
    • Journal of Microbiology
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    • v.35 no.2
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    • pp.149-151
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    • 1997
  • A plasmid vector with combined features of yeast shuttle vector and mammalian expression vector was constructed to facilitate expression of cloned gene in both cell-types. All necessary elements required for plasmid maintenance and selection in E. coli, yeast and mammalian cells were size-economically arranged in this plasmid. The numan cytomegalovirus (CMV) immediate early promoter and yeast GAL1 promoter were sequentially placed in front of the gene to be expressed. The synthetic splicing donor and acceptor sequences were inserted into the immediate upstream and downstream of the GAL1 promotor, allowing the CMV promotor to direct the expression of a given gene in mammalian cell environment by splicing out the interfering GAL1 promotor sequence. When the resulting vector containing LacZ as a gene was introduced into yeast and mammalian cells, both cells efficiently produced .betha.-galactosidase, dimonstrating its dual host usage.

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Classification of Power Quality Disturbances Using Feature Vector Combination and Neural Networks (특징벡터 결합과 신경회로망을 이용한 전력외란 식별)

  • Nam, Sang-Won
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.671-674
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    • 1997
  • The objective of this paper is to present a new feature-vector extraction method for the automatic detection and classification of power quality(PQ) disturbances, where FIT, DWT(Discrete Wavelet Transform), and Fisher's criterion are utilized to extract an appropriate feature vector. In particular, the proposed classifier consists of three parts: i.e., (i) automatic detection of PQ disturbances, where the wavelet transform and signal power estimation method are utilized to detect each disturbance, (ii) feature vector extraction from the detected disturbance, and (iii) automatic classification, where Multi-Layer Perceptron(MLP) is used to classify each disturbance from the corresponding extracted feature vector. To demonstrate the performance and applicability of the proposed classification algorithm, some test results obtained by analyzing 10-class power quality disturbances are also provided.

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SECOND ORDER TANGENT VECTORS IN RIEMANNIAN GEOMETRY

  • Kwon, Soon-Hak
    • Journal of the Korean Mathematical Society
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    • v.36 no.5
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    • pp.959-1008
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    • 1999
  • This paper considers foundational issues related to connections in the tangent bundle of a manifold. The approach makes use of second order tangent vectors, i.e., vectors tangent to the tangent bundle. The resulting second order tangent bundle has certain properties, above and beyond those of a typical tangent bundle. In particular, it has a natural secondary vector bundle structure and a canonical involution that interchanges the two structures. The involution provides a nice way to understand the torsion of a connection. The latter parts of the paper deal with the Levi-Civita connection of a Riemannian manifold. The idea is to get at the connection by first finding its.spary. This is a second order vector field that encodes the second order differential equation for geodesics. The paper also develops some machinery involving lifts of vector fields form a manifold to its tangent bundle and uses a variational approach to produce the Riemannian spray.

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Encoding of Speech Spectral Parameters Using Adaptive Vector-Scalar Quantization Methods for Mobile Communication Systems

  • Lee, In-Sung;Kim, Jong-Hark
    • The Journal of the Acoustical Society of Korea
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    • v.17 no.4E
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    • pp.35-40
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    • 1998
  • In this paper, an efficient quantization method of line spectrum pairs(LSP) with cascaded structure of vector quantizer and scalar quantizer is proposed. First, input LSP parameters is vector-quantized using a codebook a with a moderate number of entries. In the second stage of quantization, the components of residual vector are individually quantized by the scalar quantizer. The utilization of ordering property of LSP parameters and the inclusion of interframe prediction improve the quantizer performance and remove the stability check routine after quantization procedure. The new vector-scalar hybrid quantizer using 26 bits/frame shows a transparent quality of speech that an average spectral distortion is 1 dB and the frame proportion with above 2 dB spectral distortion is less than 2%. The performances of proposed quantization method is evaluated in the transmission errors.

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A Study on torque characteristics and rapid response control of induction motor by vector control system (벡터제어 시스템에 의한 유도 전동기의 속응제어와 토오크 특성에 관한 연구)

  • Hwang L.H.;Jang E.S.;Nam W.Y.;Cho S.R.;Shin Y.H.;Cho M.T.;Lee C.S.;Na S.K.
    • Proceedings of the KIPE Conference
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    • 2003.07b
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    • pp.807-811
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    • 2003
  • In this paper, the speed control system of induction motor was proposed using vector control algorithm and space voltage vector PWM method to improve the dynamic performance of Induction motor. The control system is composed of the PI controller for speed control and the current controller using space voltage vector PWM technique. The high-speed calculation and processing for vector control is carried out by TMS320C31 digital signal processor and IGBT module. The proposed scheme is verified through digital simulations and experiments for 3.7[kw] induction motor and shows good dynamic performance.

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Induction Machine Sensorless Vector Control typed by the Field Orientation Using 2 order Flux Observer (2차 자속관측기를 이용한 자계 Orientation 형 유도전동기 센스리스 벡터제어)

  • Hong, S.I.;Son, E.S.;Lee, D.C.
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2067-2069
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    • 2002
  • The study of the vector control of the induction machine without speed sensor is going on and there are the adaptive performance method to use the flux observer. This study is to make the vector control without the speed sensor based on the flux oriented reference vector control theory. This paper proposes the new speed follow-up method to deduce the current value in the current sensor and the 2 order flux observer based on the observer theory and examine the possibility to realize the flux oriented vector control system using the simulation in this proposed method of this study.

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New Magnetic Field Analysis Considering a Vector Magnetic Characteristic

  • Shimoji, Hiroyasu;Enokizono, Masato;Todaka, Takashi;Horibe, Toyomi
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.2B no.4
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    • pp.149-155
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    • 2002
  • This paper presents magnetic field analysis technology that uses a vector magnetic characteristic. Recently the magnetic material was found to be measurable using the vector quantity technique. Therefore considering the anisotropy of the magnetic material in the vector field analysis is necessary. The magnetic field analysis method, which is considered the anisotropy by combining the finite element method with the E&$S^2$ (Enokizono, Soda, and Shimoji) modeling, is applied to a permanent magnet motor model.