• Title/Summary/Keyword: Unit Vector

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LINEAR FUNCTIONALS ON $\mathcal{O}_n$ AND PRODUCT PURE STATES OF UHF

  • Lee, Jung-Rye;Shin, Dong-Yun
    • Korean Journal of Mathematics
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    • v.8 no.2
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    • pp.155-162
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    • 2000
  • For a sequence $\{{\eta}_m\}_m$ of unit vectors in $\mathbb{C}^n$, we consider the associated linear functional ${\omega}$ on the Cuntz algebra $\mathcal{O}_n$. We show that the restriction ${\omega}{\mid}_{UHF_n}$ is the product pure state of a subalgebra $UHF_n$ of $\mathcal{O}_n$ such that ${\omega}{\mid}_{UHF_n}={\otimes}{\omega}_m$ with ${\omega}_m({\cdot})$ < ${\cdot}{\eta}_m,{\eta}_m$ >. We study product pure states of UHF and obtain a concrete description of them in terms of unit vectors. We also study states of $UHF_n$ which is the restriction of the linear functionals on $O_n$ associated to a fixed unit vector in $\mathbb{C}^n$.

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REEB FLOW INVARIANT UNIT TANGENT SPHERE BUNDLES

  • Cho, Jong Taek;Chun, Sun Hyang
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.805-812
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    • 2014
  • For unit tangent sphere bundles $T_1M$ with the standard contact metric structure (${\eta},\bar{g},{\phi},{\xi}$), we have two fundamental operators that is, $h=\frac{1}{2}{\pounds}_{\xi}{\phi}$ and ${\ell}=\bar{R}({\cdot},{\xi}){\xi}$, where ${\pounds}_{\xi}$ denotes Lie differentiation for the Reeb vector field ${\xi}$ and $\bar{R}$ denotes the Riemmannian curvature tensor of $T_1M$. In this paper, we study the Reeb ow invariancy of the corresponding (0, 2)-tensor fields H and L of h and ${\ell}$, respectively.

Overproduction and High Level Secretion of Glucose Oxidase in Saccharomyces cerevisiae (Glucose Oxidase의 Saccharomyces cerevisiae에서의 대량생산 및 고효율 분비)

  • 홍성용;최희경;이영호;백운화;정준기
    • Microbiology and Biotechnology Letters
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    • v.26 no.1
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    • pp.68-75
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    • 1998
  • The overproduction and high level secretion of Glucose Oxidase (GOD) from A. niger in S. cerevisiae was carried out by cloning GOD gene. For this purpose, using two different strong promoters (ADH1 promoter, GAL10 promoter) and signal sequences (${alpha}$-MF signal sequence of S. cerevisiae and ${alpha}$-amylase signal sequence of A. oryzae) and GAL7- and GOD terminator, four expression vectors were constructed. All the expression vectors were transformed in S. cerevisiae 2805 using auxotroph method. By the flask culture, transformants of pGAL expression vector series containing GAL 10 promotor showed much higher GOD productivity than transformants of pADH expression vector series containing ADH1 promoter Transformants of pGALGO2 containing GAL10 promotor and ${alpha}$-amylase signal sequence has shown the best productivity of GOD ($GOD_{total}$: 10.3 unit/mL, $GOD_{ex}$: 8.7 unit/mL) at 115 hr. This value was three fold higher than that of pGALGO1 containing GAL 10 promotor and ${alpha}$-MF signal sequence, even if the same promotor was involved. Through the ${alpha}$-amylase signal sequence of A. oryzae, GOD was secreted much more than the case of ${alpha}$-MF signal sequence from S. cerevisiae. These results suggest that signal sequence may play a important roles in not only the secretion but also the overproduction of foreign protein. Secretion rate of GOD in pGALGO1 and pGALGO2 was 89% and 84%, respectively, Because of the overglycosylation in S. cerevisiae the molecular weight of recombinant GOD in S. cerevisiae was much larger (250 kDa) than that of nature GOD in A. niger (170 kDa).

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Expression and Secretion of Human Serum Albumin in the Yeast Saccharomyces cerevisae

  • Kang, Hyun-Ah;Jung, Moon-Soo;Hong, Won-Kyoung;Sohn, Jung-Hoon;Choi, Eui-Sung;Rhee, Sang-Ki
    • Journal of Microbiology and Biotechnology
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    • v.8 no.1
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    • pp.42-48
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    • 1998
  • In order to maximize the secretory expression of human serum albumin (HSA) in the yeast Saccharomyces cerevisiae, a series of HSA expression vectors were constructed with a combination of different promoters, 5' untranslated regions (5'UTR), and secretion signal sequences. The expression vector composed of the galactose-inducible promoter GALl0, the natural 5'UTR, and the natural signal sequence of HSA directed the most efficient expression and secretion of HSA among the constructed vectors when introduced into several S. cerevisiae strains. Although the major form of HSA expressed and secreted in the yeast transformants was the mature form of 66 kDa, the truncated form of 45 kDa was also detected both in the cell extract and in the culture supernatant. The level of the intact HSA protein in the culture supernatant reached up to 30 mg/l at 24 h of cultivation in a shake-flask culture but began to decrease afterwards, indicating that the secreted HSA protein was unstable in a prolonged culture of yeast.

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A Control Algorithm for Highly Efficient Operation of Auxiliary Power Unit in a Series Hybrid Electric Bus (직렬형 하이브리드 버스에서 보조동력장치의 고효율 작동을 위한 제어 알고리즘)

  • 함윤영;송승호;민병문;노태수;이재왕;이현동;김철수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.170-175
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    • 2003
  • A control algorithm is developed for highly efficient operation of auxiliary power unit (APU) that consists of a diesel engine and a directly coupled induction generator in series hybrid electric Bus (SHEB). In a series hybrid configuration the APU supplies the electric power needed for maintaining the state of charge (SOC) of the battery unit in various conditions of vehicle operation. As the rotational speed of generator does not depend on the vehicle speed, an optimized operation of engine-generator unit based on the efficiency map of each component can be achieved. The output torque of diesel engine can be controlled by the amount of fuel injection, and the power converted from mechanical to electrical energy can be adjusted by generate control unit (GCU) using the decoupling vector control of torque and flux. As for the given reference of the generating power, the multiply of speed and torque, many combinations of operating speed and torque are possible. The algorithm decides the new operating point based on the engine efficiency map and generator characteristic curve. During the transition of operating points, the speed controller saturation is avoided using variable limit and filtering of generator torque reference. A test rig and SHEB consist of a 1.5L diesel engine and a 30kw induction generator are constructed by Hyundai Motor Company.

Analysis of Doubly Fed Variable-Speed Pumped Storage Hydropower Plant for Fast Response (빠른 응답성을 갖는 가변속 DFIM 분석)

  • Sun, Jinlei;Seo, Joungjin;Cha, Hanju
    • The Transactions of the Korean Institute of Power Electronics
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    • v.27 no.5
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    • pp.425-430
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    • 2022
  • A pumped storage power station is an important means to solve the problem of peak load regulation and ensures the safety of power grid operation. The doubly fed variable-speed pumped storage (DFVSPS) system adopts a doubly fed induction machine (DFIM) to replace the synchronous machine used in traditional pumped storage. The stator of DFIM is connected to the power grid, and the three-phase excitation windings are symmetrically distributed on the rotor. Excitation current is supplied by the converter. The active and reactive power of the unit can be quickly adjusted by adjusting the amplitude, frequency, and phase of the rotor-side voltage or current through the converter. Compared with a conventional pumped storage hydropower station (C-PSH), DFVSPS power stations have various operating modes and frequent start-up and shutdown. This study introduces the structure and principle of the DFVSPS unit. Mathematical models of the unit, including a model of DFIM, a model of the pump-turbine, and a model of the converter and its control, are established. Fast power control strategies are proposed for the unit model. A 300 MW model of the DFVSPS unit is established in MATLAB/Simulink, and the response characteristics in generating mode are examined.

Expression of the E. coli LacZ Gene in Chicken Embryos Using Replication Defective Retroviral Vectors Packaged With Vesicular Stomatitis Virus G Glycoprotein Envelopes

  • Kim, Teoan;Lee, Young Man;Lee, Hoon Taek;Heo, Young Tae;Yom, Heng-Cherl;Kwon, Mo Sun;Koo, Bon Chul;Whang, Key;Roh, Kwang Soo
    • Asian-Australasian Journal of Animal Sciences
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    • v.14 no.2
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    • pp.163-169
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    • 2001
  • Despite the high potency of the retrovirus vector system in gene transfer, one of the main drawbacks of has been difficulty in preparing highly concentrated virus stock. Numerous efforts to boost the virus titer have ended in unsatisfactory results mainly due to fragile property of retrovirus envelope protein. In this study, to overcome this problem, we constructed our own retrovirus vector system producing vector viruses encapsulated with VSV-G (vesicular stomatitis virus G glycoprotein). Concentration process of the virus stock by ultracentrifuge did not sacrifice the virus infectivity, resulting in more than 108 to 109 CFU (colony forming unit) per ml on most of the target cell lines tested. Application of this high-titer retrovirus vector system was tested on chicken embryos. Injection of virus stock beneath the blastoderms of pre-incubated fertilized eggs resulted in chick embryos expressing E. coli LacZ gene with 100% efficiency. Therefore, our results suggest that it is possible to transfer the foreign gene into chicken embryo using our high-titer retrovirus vector.

A New Hardware Architecture of High-Speed Motion Estimator for H.264 Video CODEC (H.264 비디오 코덱을 위한 고속 움직임 예측기의 하드웨어 구조)

  • Lim, Jeong-Hun;Seo, Young-Ho;Choi, Hyun-Jun;Kim, Dong-Wook
    • Journal of Broadcast Engineering
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    • v.16 no.2
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    • pp.293-304
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    • 2011
  • In this paper, we proposed a new hardware architecture for motion estimation (ME) which is the most time-consuming unit among H.264 algorithms and designed to the type of intellectual property (IP). The proposed ME hardware consists of buffer, processing unit (PU) array, SAD (sum of absolute difference) selector, and motion vector (MVgenerator). PU array is composed of 16 PUs and each PU consists of 16 processing elements (PUs). The main characteristics of the proposed hardware are that current and reference frames are re-used to reduce the number of access to the external memory and that there is no clock loss during SAD operation. The implemented ME hardware occupies 3% hardware resources of StatixIII EP3SE80F1152C2 which is a FPGA of Altera Inc. and can operate at up to 446.43MHz. Therefore it can process up to 50 frames of 1080p in a second.

Expression of Human Serine Palmitoyltransferase Genes for Antibody Development (Antibody 제작을 위한 human serine palmitoyltransferase 유전자의 발현)

  • 김희숙
    • Journal of Life Science
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    • v.14 no.2
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    • pp.315-319
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    • 2004
  • For antibody development of human serine palmitoyltransferase (SPT, EC 2.3.1.50), SPTLC1 and SPTLC2 genes were subcloned in pRset vector and expressed in E. coli BL21 (DE3)pLys cells. Eucaryotic SPT is a membrane-bound heterodimer enzyme, while all other members are soluble homodimer enzymes. cDNA library were obtained from total RNA from human embryo kidney cell line, HEK293, using RT-PCR and PCR with specific primers was carried out for preparing SPTLC1 and SPTLC2 genes. pRset vector which can express hexahistidine-tag fusion protein was used and the DNA sequences of pRsetB/SPTLC1 and pRsetA/SPTLC2 were confirmed. Recombinant BL21 cells with SPTLC subunits were selected with LB plate containing ampicillin and chroramphenicol. SPTLC1 and SPTLC2 proteins were induced with 1 mM IPTG and seperated on 10% SDS-PAGE gel. Expressed proteins were confirmed by western blotting with His-tag antibody.

A Study on the Feature Extraction for High Speed Character Recognition -By Using Interative Extraction and Hierarchical Formation of Directional Information- (고속 문자 인식을 위한 특징량 추출에 관한 연구 - 방향정보의 반복적 추출과 특징량의 계층성을 이용하여 -)

  • 강선미;이기용;양윤모;양윤모;김덕진
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.11
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    • pp.102-110
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    • 1992
  • In this paper, a new method of character recognition is proposed. It uses density information, in addition to positional and directional information generally used, to recognize a character. Four directional feature primitives are extracted from the thinning templates on the observation that the output of the templates have directional property in general. A simple and fast feature extraction scheme is possible. Features are organized from recursive nonary tree(N-tree) that corresponds to normalized character area. Each node of the N-tree has four directional features that are sum of the features of it's nine sub-nodes. Every feature primitive from the templates are added to the corresponding leaf and then summed to the upper nodes successively. Recognition can be accomplished by using appropriate feature level of N-tree. Also, effectiveness of each node's feature vector was tested by experiment. A method to implement the proposed feature vector organization algorithm into hardware is proposed as well. The third generation node, which is 4$\times$4, is used as a unit processing element to extract features, and it was implemented in hardware. As a result, we could observe that it is possible to extract feature vector for real-time processing.

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