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HYERS-ULAM-RASSIAS STABILITY OF ISOMORPHISMS IN C*-ALGEBRAS

  • Park, Choonkil
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.2
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    • pp.159-175
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    • 2006
  • This paper is a survey on the Hyers-Ulam-Rassias stability of the Jensen functional equation in $C^*$-algebras. The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300. Its content is divided into the following sections: 1. Introduction and preliminaries. 2. Approximate isomorphisms in $C^*$-algebras. 3. Approximate isomorphisms in Lie $C^*$-algebras. 4. Approximate isomorphisms in $JC^*$-algebras. 5. Stability of derivations on a $C^*$-algebra. 6. Stability of derivations on a Lie $C^*$-algebra. 7. Stability of derivations on a $JC^*$-algebra.

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Review on the reliability of low frequency responses of locally operating sensors (국내 지진센서의 저주파 응답의 신뢰성에 관한 고찰)

  • 박동희;연관희;장천중
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2002.09a
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    • pp.35-42
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    • 2002
  • Frequency responses for most of the local seismic sensors in Korea have been roughly checked by mutual comparison of Fourier spectra of seismic records from accelerometer and seismometer, both of which are installed at the same location. Especially, because the frequency content of the seismic energy is usually above 1 Hz for local earthquakes, the reliability of low frequency response could have not been evaluated. Fortunately a recent large earthquake, Ms=7.2 on 02/06/29 containing dominant low frequency energy makes it possible to check the low frequency response of the seismic sensors, especially EpiSensor and JC-V100. Considering two types of sensor pairs, (STS-2 and EpiSensor, JC-V100 and EpiSensor), the low frequency response of EpiSensor is confirmed first by comparison with STS-2 which has proved low frequency response. Second, reliable low frequency limit of instrumentally corrected seismic data from JC-V100 data is estimated to be about 0.03 Hz by comparison with EpiSensor data.

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Protoplast Formation of Collectotrichum acutum and the Assessment of Antifungal Activity of Several by using its Protoplasts (고추 탄저병군(Colletotrichum acutatum)의 원형질체 형성과 원형질체를 이용한 살균제 효과 검정)

  • Kim, Myoung-Ki;Kim, Heung-Tae
    • The Korean Journal of Pesticide Science
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    • v.12 no.1
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    • pp.88-96
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    • 2008
  • To obtain protoplasts of Colletotrichum acutatum JC24, conidia were inoculated onto cellophane membrane placed on PDA and incubated at $25^{\circ}C$ for 20 hrs under the dark condition. Cellophane membranes, where mycelia were incubated, were soaked into 2% lysing enzyme solution prepared with 0.02 M phosphate buffer (pH 7.0) including 1.2 M sorbitiol. After treatment in 2% enzyme solution for 2 - 3 hrs, it could be possible to harvest $2-3\;{\times}\;10^6$ protoplasts/mL. The effect of several fungicides on reversion ratio was determined by using the protoplasts obtained from C. acutatum JC24. Any protoplasts could not be reversed to mycelia on reversion PDA amended with $10\;{\mu}\;g\;mL^{-1}$ of propineb. With tebuconazole, inhibition ratio of protoplast reversion was 100 and 0.9% at 0.5 and $0.1\;{\mu}\;g\;mL^{-1}$, respectively, while inhibitory effect on mycelial growth was 85.1 and 75.7%. The inhibitory tendency of carbendazim on protoplast reversion was as same as mycelial growth. In the case of strobilurins, trifloxystrobin and kresoxim-methyl, they only could inhibit protoplast reversion of C. acutatum JC24, when salicylhydroxamic acid (SHAM) was amended into reversion PDA with strobilurins.

Growth on Methanol of a Carboxydobacterium, Acinetobacter sp. Strain JC1 DSM 3803

  • Ro, Young-Tae;Seo, Jae-Goo;Lee, Joo-Hun;Kim, Dae-Myung;Chung, In-Kwon;Kim, Tae-Ue;Kim, Young-Min
    • Journal of Microbiology
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    • v.35 no.1
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    • pp.30-39
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    • 1997
  • Acinetobacter sp. strain JC1 DSM 3803, a carboxydobacterium, was found to grow methylotrophically at the expense of methanol and methlamine, but not of methane, formaldehyde, formate, dimethylamine, or trimethylamine, as the sole source of carbon and energy. The doubling times of the bacterium growing on methanol (0.5%, v/v) and methylamine (0.5%, w/v) at 3$0^{\circ}C$ and pH 6.8 were 4.8 h and 5.7 h, respectively. Cells grown on methanol, however, failed to show typical methanol dehydrogenase and oxidase activities. The cell was found to contain no c-type cytochromes. Cells grown on methanol exhibited higher catalase activity than those grown on pyruvate or glucose. The catalase present in the cells also exhibited peroxidase activity. The catalase activity, growth on methanol of the cell, and oxygen consumption by methanol-grown maldehyde dehydrogenase, formaldehyde reductase, glucose-6-phosphate dehydrogenase, and 6-phosphogluconate dehydrogenase activities were detected from cells grown on methanol.

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Development of Hydroponic Media Using Fly Ash and Clay System Cultures (양액재배용 석탄회-점토계 배지 개발)

  • 김일섭;강위수;신대용;류근창
    • Journal of Bio-Environment Control
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    • v.9 no.1
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    • pp.47-59
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    • 2000
  • In order to investigate the physical and chemical properties of artificial culture media, the specimens were substituted with 5~20% clay, 10~30%(w) quick lime, 5~l5%(w) burnt plaster and 10%(w) sawdust. Fly ash-clay bodies were sintered at 1,050~1,20$0^{\circ}C$ and then their properties were determined. It was found that 90FA10JC(fly ash +clay(90:10, %(w)) specimen sintered at 1,15$0^{\circ}C$ for 10 min. had good physical and chemical properties. When this composition was supplement with 10%(w) sawdust, bulk density water absorption, apparent porosity, compressive strength and pH after 240 hrs curing time were 1.14, 54.4%, 39.5%, 54 kgf.cm$^{-2}$ and 7.1 respectively. The physical properties of fly ash-quick lime-burnt plaster system specimens were superior to FAJC systems. However, this composition we not suitable as a artificial culture media because of its high pH. In this study, it was shown that 90FA10JC10SD(90FA10JC +10%(w) sawdust) system exhibited the best physical properties.

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Injective JW-algebras

  • Jamjoom, Fatmah Backer
    • Kyungpook Mathematical Journal
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    • v.47 no.2
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    • pp.267-276
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    • 2007
  • Injective JW-algebras are defined and are characterized by the existence of projections of norm 1 onto them. The relationship between the injectivity of a JW-algebra and the injectivity of its universal enveloping von Neumann algebra is established. The Jordan analgue of Theorem 3 of [3] is proved, that is, a JC-algebra A is nuclear if and only if its second dual $A^{**}$ is injective.

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Magnesium diboride(MgB2) wires for applications

  • Patel, Dipak;Kim, Jung Ho
    • Progress in Superconductivity and Cryogenics
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    • v.18 no.1
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    • pp.1-5
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    • 2016
  • Field and temperature dependence of the critical current density, Jc, were measured for both un-doped and carbon doped $MgB_2/Nb/Monel$ wires manufactured by Hyper Tech Research, Inc. In particular, carbon incorporation into the $MgB_2$ structure using malic acid additive and a chemical solution method can be advantageous because of the highly uniform mixing between the carbon and boron powders. At 4.2 K and 10 T, Jc was estimated to be $25,000-25,300Acm^{-2}$ for the wire sintered at $600^{\circ}C$ for 4 hours. The irreversibility field, $B_{irr}$, of the malic acid doped wire was approximately 21.0 - 21.8 T, as obtained from a linear extrapolation of the J-B characteristic. Interestingly enough, the Jc of the malic acid doped sample exceeds $10^5Acm^{-2}$ at 6 T and 4.2 K, which is comparable to that of commercial Nb-Ti wires.

Thalassobius aestuarii sp. nov., Isolated from Tidal Flat Sediment

  • Yi Ha-Na;Chun Jong-Sik
    • Journal of Microbiology
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    • v.44 no.2
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    • pp.171-176
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    • 2006
  • A strictly aerobic, non-motile, ovoid-shaped Alphaproteobacteria, designated strain $JC2049^T$ was isolated from a tidal flat sediment sample. The results of 16S rRNA gene sequence analysis indicated that this isolate belonged to the genus Thalassobius, with a sequence similarity of 96.9-97.3% to other valid Thalassobius spp. The cells required 1-7% NaCl for growth (optimum 2%) and accumulated $poly-\beta-hydroxybutyrate$. Nitrite was reduced to nitrogen, but nitrate was not reduced to nitrite. No genetic potential for aerobic anoxygenic photosynthesis was detected. The primary isoprenoid quinone (Ubiquinone-10), predominant cellular fatty acids $(C_{18:1}{\omega}7c,\;11\;methyl\;C_{18:1}\omega7c\;and\;C_{16:0})$ and DNA G+C content (61 mol %) were all consistent with the assignment of this isolate to the genus Thalassobius. Several phenotypic characteristics clearly distinguished our isolate from other Thalassobius species. The degree of genomic relatedness between strain $JC2049^T$ and other Thalassobius species was in a range of 20-43 %. The polyphasic data presented in this study indicates that our isolate should be classified as a novel species within the genus Thalassobius. The name Thalassobius aestuarii sp. novo is therefore proposed for this isolate; the type strain is $JC2049^T(=IMSNU\;14011^T=KCTC\;12049^T=DSM\;15283^T)$.

Effects of Secondary Task on Driving Performance -Control of Vehicle and Analysis of Motion signal- (동시과제가 운전 수행 능력에 미치는 영향 -차량 통제 및 동작신호 해석을 중심으로-)

  • Mun, Kyung-Ryoul;Choi, Jin-Seung;Kang, Dong-Won;Bang, Yun-Hwan;Kim, Han-Soo;Lee, Su-Jung;Yang, Jae-Woong;Kim, Ji-Hye;Choi, Mi-Hyun;Ji, Doo-Hwan;Min, Byung-Chan;Chung, Soon-Cheol;Taek, Gye-Rae
    • Science of Emotion and Sensibility
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    • v.13 no.4
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    • pp.613-620
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    • 2010
  • The purpose of this study was to quantitatively evaluate the effects of the secondary task while simulated driving using the variable indicating control of vehicle and smoothness of motion. Fifteen healthy adults having 1~2years driving experience were participated. 9 markers were attached on the subjects' upper(shoulder, elbow, Wrist) and lower(knee, ankle, toe) limbs and all subjects were instructed to keep the 30m distance with the front vehicle running at 80km/hr speed. Sending text message(STM) and searching navigation(SN) were selected as the secondary task. Experiment consisted of driving alone for 1 min and driving with secondary task for 1 min, and was defined driving and cognition blocks respectively. To indicate the effects of secondary task, coefficient of variation of distance between vehicles and lane keeping(APCV and MLCV) and jerk-cost function(JC) were analyzed. APCV was increased by 222.1% in SN block. MLCV was increased by 318.2% in STM and 308.4% in SN. JC were increased at the drivers' elbow, knee, ankle and toe, especially the total mean JC of lower limbs were increased by 218.2% in STM and 294.7% in SN. Conclusively, Performing secondary tasks while driving decreased the smoothness of motion with increased JC and disturbed the control of vehicle with increased APCV and MLCV.

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