• Title/Summary/Keyword: decomposable

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LOCAL SPECTRAL THEORY AND QUASINILPOTENT OPERATORS

  • YOO, JONG-KWANG
    • Journal of applied mathematics & informatics
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    • v.40 no.3_4
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    • pp.785-794
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    • 2022
  • In this paper we show that if A ∈ L(X) and R ∈ L(X) is a quasinilpotent operator commuting with A then XA(F) = XA+R(F) for all subset F ⊆ ℂ and 𝜎loc(A) = 𝜎loc(A + R). Moreover, we show that A and A + R share many common local spectral properties such as SVEP, property (C), property (𝛿), property (𝛽) and decomposability. Finally, we show that quasisimility preserves local spectrum.

A Bayesian Sampling Algorithm for Evolving Random Hypergraph Models Representing Higher-Order Correlations (고차상관관계를 표현하는 랜덤 하이퍼그래프 모델 진화를 위한 베이지안 샘플링 알고리즘)

  • Lee, Si-Eun;Lee, In-Hee;Zhang, Byoung-Tak
    • Journal of KIISE:Software and Applications
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    • v.36 no.3
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    • pp.208-216
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    • 2009
  • A number of estimation of distribution algorithms have been proposed that do not use explicitly crossover and mutation of traditional genetic algorithms, but estimate the distribution of population for more efficient search. But because it is not easy to discover higher-order correlations of variables, lower-order correlations are estimated most cases under various constraints. In this paper, we propose a new estimation of distribution algorithm that represents higher-order correlations of the data and finds global optimum more efficiently. The proposed algorithm represents the higher-order correlations among variables by building random hypergraph model composed of hyperedges consisting of variables which are expected to be correlated, and generates the next population by Bayesian sampling algorithm Experimental results show that the proposed algorithm can find global optimum and outperforms the simple genetic algorithm and BOA(Bayesian Optimization Algorithm) on decomposable functions with deceptive building blocks.

Hydrogen Separation of Carbon Molecular Sieve Membranes Derived from Polyimides Having Decomposable Side Groups (열분해성 그룹이 도입된 폴리이미드로부터 유도된 탄소분자체막의 수소 분리 특성)

  • Young Moo Lee;Youn Kook Kim;Ji Min Lee;Ho Bum Park
    • Membrane Journal
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    • v.14 no.2
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    • pp.99-107
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    • 2004
  • Carbon molecular sieve (CMS) membranes were prepared by pyrolysis of polyimides having carboxylic acid groups and applied to the hydrogen separation. The polymeric membranes having carboxylic acid groups showed different steric properties as compared with polymeric membranes having other side groups ($-CH_3$ and $-CF_3$) because of the hydrogen bond between the carboxylic acid groups. However, the microporous CMS membranes were significantly affected by the decomposable side groups evidenced from the wide angle X-rat diffraction, nitrogen adsorption isotherms, and single gas permeation measurement. Furthermore, the gas separation properties of the CMS membranes were essentially affected by the pyrolysis temperature. As a result, the CMS membranes Prepared by Pyrolysis of polyimide containing carboxylic acid froups at $700^{\circ}C$ showed the $H_2$ permeability of 3,809 Baller [$1{\times}10^{-10}$ H $\textrm{cm}^$(STP)cm/$\textrm{cm}^2$.s.cmHg], $H_2$/$N_2$, selectivity of 46 and $H_2$/$CH_4$ selectivity of 130 while the CMS membranes derived from polyimide showed the H$_2$ permeability of 3,272 Barrer, $H_2$/$N_2$ selectivity of 136 and $H_2$/$CH_4$ selectivity of 177.

Kinetic Responses of Soil Carbon Dioxide Emission to Increasing Urea Application Rate

  • Lee, Sun-Il;Lim, Sang-Sun;Lee, Kwang-Seung;Kwak, Jin-Hyeob;Jung, Jae-Woon;Ro, Hee-Myoung;Choi, Woo-Jung
    • Korean Journal of Environmental Agriculture
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    • v.30 no.2
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    • pp.99-104
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    • 2011
  • BACKGROUND: Application of urea may increase $CO_2$ emission from soils due both to $CO_2$ generation from urea hydrolysis and fertilizer-induced decomposition of soil organic carbon (SOC). The objective of this study was to investigate the effects of increasing urea application on $CO_2$ emission from soil and mineralization kinetics of indigenous SOC. METHODS AND RESULTS: Emission of $CO_2$ from a soil amended with four different rates (0, 175, 350, and 700 mg N/kg soil) of urea was investigated in a laboratory incubation experiment for 110 days. Cumulative $CO_2$ emission ($C_{cum}$) was linearly increased with urea application rate due primarily to the contribution of urea-C through hydrolysis to total $CO_2$ emission. First-order kinetics parameters ($C_0$, mineralizable SOC pool size; k, mineralization rate) became greater with increasing urea application rate; $C_0$ increased from 665.1 to 780.3 mg C/kg and k from 0.024 to 0.069 $day^{-1}$, determinately showing fertilizer-induced SOC mineralization. The relationship of $C_0$ (non-linear) and k (linear) with urea-N application rate revealed different responses of $C_0$ and k to increasing rate of fertilizer N. CONCLUSION(s): The relationship of mineralizable SOC pool size and mineralization rate with urea-N application rate suggested that increasing N fertilization may accelerate decomposition of readily decomposable SOC; however, it may not always stimulate decomposition of non-readily decomposable SOC that is protected from microbial decomposition.

A Study on the Treatment of Nondegradable Pollutants by Ultrasonic Irradiation (초음파에 의한 난분해성물질 처리에 관한 연구)

  • 손종열;모세영;문경환
    • Journal of Environmental Health Sciences
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    • v.21 no.3
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    • pp.102-106
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    • 1995
  • This study was performed to examine factors affecting the decompostion of nondegradable polluants(trichloroethylene(TCE), phenol) using ultrasonic irradiation. The TCE and phenol, which are major hazard compounds causing environmental pollution, were not decomposable pollutants by conventional treatment. The results show that the oxidation and reduction reaction of ultrasound produced $H_2O_2$, $H^+$ and $OH^-$ radical, which decomposed pollutants of TCE and phenol in water. It was confirmed that the ultrasonic irradiation showed an excellent removal efficiency for the nondegradable pollutants than any other processes, utilized in the treatment of organic compounds in the industrial wastewater. Conclusively, these results suggest that ultrasonic irradiation may be highly useful for the treatment of wastewaters contaminated organic pollutants, which is difficult to treat economically by conventional process.

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Decomposable Decoding and Display Structure for Scalable Media Visualization over Advanced Collaborative Environment (진보된 협업환경에서 확장성 있는 미디어 가시화를 위한 디코딩 디스플레이 구조)

  • Kim, Jae-Youn;Moon, Jeong-Hoon;Kwak, Jae-Seung;Kim, Jong-Won
    • 한국HCI학회:학술대회논문집
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    • 2006.02a
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    • pp.443-448
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    • 2006
  • 본 논문에서는 고화질 협업 환경에서 다수의 고화질 영상들을 처리하기 위한 타일드 디스플레이(tiled display)기반의 확장성있는 디스플레이 구조를 제안한다. 제안하는 구조는 대형 고화질 디스플레이를 제어하기 위한 기술과 다수의 고화질 영상을 제한된 시스템 자원을 이용하여 효율적으로 디스플레이 하기위한 기술을 다룬다. 제안된 시스템은 영상의 획득/디코딩/디스플레이와 같은 가시화를 담당하는 Scalable Visualization Consumer 로 명명된 확장형 가시화 응용을 포함한다. 제안된 기법들을 토대로 구현된 확장형 가시화 시스템의 성능을 평가하고자 한다.

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Treatment of non-degrable Organic Pollutants in Aqueous by ultrasonic irradiation (초음파에 의한 수중의 난분해성 오염물질 처리)

  • 손종열;모세영;손진석
    • Journal of environmental and Sanitary engineering
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    • v.10 no.1
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    • pp.76-84
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    • 1995
  • This study was performed to examine the factors influenced on the decomposition of nondegradable organic pollutants( Tricholoroethylene,Benzene ) in aqueous by ultrasonic irradiation. The TCE( Tricholoroethylene ) and Benzene are major hazard compounds causing environmental Pollution and not decomposable substances by conventional treatment. The results shows that the oxidation and reduction reaction of ultrasonic Irradiation was formed the H$_{2}$O$_{2}$ , H$^{+}$ and OH$^{-}$ radical, and then theses was decomposed pollutants of TCE and Benzene in aqueous. We were conformed that the ultrasonic irradiation was excellent in removal efficiency of the nondegradable organic substances any other than processes and utilized the treatment of organic compounds in the industrial wastewater. Conclusively, these results suggest that ultrasonic irradiation may be extremely useful for the treatment of wastewater contaminated organic pollutants, which is difficult to treat economically by conventional treatment.

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Characteristics of TCE, Benzene & 2,4 Dichlorophenol Degradation in Aqueous solution by Ulrasonic Irraditation (초음파 조사에 의한 수중의 TCE, Benzene & 2,4 Dichlorophenol의 분해 특성)

  • 손종렬;모세영
    • Journal of environmental and Sanitary engineering
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    • v.11 no.2
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    • pp.33-41
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    • 1996
  • This study was performed to examine the factors influencing on the degradation of TCE, Benzene and 2,4 DCP in aqueous solution using ultrasonic irradiation. The TCE,Benzene and 2,4 DCP, which are hazard compounds causing environmental pollution, were not decomposable pollutants by convientional treatment. The results shows that the generation of H$_{2}$O$_{2}$, H$^{+}$ and OH$^{-}$ radical was formed by the oxidation and reduction reaction of ultrasound, and then theses decomposed the refractory pollutants of TCE, Benzene & 2,4 DCP in aqueous solution. we conformed that the ultrasonic irradiation was excellent in removal efficiency of the refractory pollutants any other than Advanced Oxidation Processes(AOP), utilized the treatment of organic compounds in the industrial wastewater. Consequently, these results suggest that ultrasonic irradiation may be extremely useful for the treatment of wastewaters contaminated organic pollutants, which is difficult to treat economically by conventional process.

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ON PSEUDO SEMI-PROJECTIVE SYMMETRIC MANIFOLDS

  • De, Uday Chand;Majhi, Pradip
    • Journal of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.391-413
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    • 2018
  • In this paper we introduce a new tensor named semi-projective curvature tensor which generalizes the projective curvature tensor. First we deduce some basic geometric properties of semi-projective curvature tensor. Then we study pseudo semi-projective symmetric manifolds $(PSPS)_n$ which recover some known results of Chaki [5]. We provide several interesting results. Among others we prove that in a $(PSPS)_n$ if the associated vector field ${\rho}$ is a unit parallel vector field, then either the manifold reduces to a pseudosymmetric manifold or pseudo projective symmetric manifold. Moreover we deal with semi-projectively flat perfect fluid and dust fluid spacetimes respectively. As a consequence we obtain some important theorems. Next we consider the decomposability of $(PSPS)_n$. Finally, we construct a non-trivial Lorentzian metric of $(PSPS)_4$.

COMMON LOCAL SPECTRAL PROPERTIES OF INTERTWINING LINEAR OPERATORS

  • Yoo, Jong-Kwang;Han, Hyuk
    • Honam Mathematical Journal
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    • v.31 no.2
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    • pp.137-145
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    • 2009
  • Let T ${\in}$ $\mathcal{L}$(X), S ${\in}$ $\mathcal{L}$(Y ), A ${\in}$ $\mathcal{L}$(X, Y ) and B ${\in}$ $\mathcal{L}$(Y,X) such that SA = AT, TB = BS, AB = S and BA = T. Then S and T shares that same local spectral properties SVEP, property (${\beta}$), property $({\beta})_{\epsilon}$, property (${\delta}$) and decomposability. From these common local spectral properties, we give some results related with Aluthge transforms and subscalar operators.