• Title/Summary/Keyword: (1,1)-decompositions

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AN EXISTENCE OF LINEAR SYSTEMS WITH GIVEN TRANSFER FUNCTION

  • Yang, Meehyea
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.99-107
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    • 1993
  • A vector space K with scalar product <.,.> is called a Krein space if it can be decomposed as a northogonal sum of a Hilbert space and an anti-space of a Hilbert space. The space K induces a Hilbert space $K_{J}$ in the inner product <.,.> $K_{J}$=<.,.>K, where $J^{2}$=I. the eigenspaces of J are denoted by $K^{+}$$_{J}$, which is a Hilbert space and $K^{-}$$_{J}$, which is an anti-space of a Hilbert space. Then the Krein space K is the orthogonal sum of $K^{+}$$_{J}$ and $K^{-}$$_{J}$. Such a decomposition of K is called a fundamental decomposition. In general, fundamental decompositions are not unique. The norm of the Hilbert space depends on the choice of a fundamental decomposion, but such norms are equivalent. The topology generated by these norms is called the strong or Mackey topology of K. It is used to define all topological notions on the Krein space K with respect to this topology. The Pontryagin index of a Krein space is the dimension of the antispace of a Hilbert space in any such decomposition. the dimension does not depend on the choice of orthogonal decomposition. A Krein space is called a Pontryagin space if it has finite Pontryagin index.dex.yagin index.dex.

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EFFECTS OF AMINES ON COPPER ETCHING WITH H$_2$SO$_4$-$H_2O$$_2$ SYSTEMS

  • Kobayashi, Katsuyoshi;Minami, Naoki;Chiba, Atsushi
    • Journal of Surface Science and Engineering
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    • v.32 no.3
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    • pp.377-384
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    • 1999
  • The corrosion of copper in $H_2$$SO_4$ $-H_2$$O_2$ etching solutions with amines was investigated at various flow rates (v). Amine additives give a retardation of $H_2$$O_2$ decompositions, increases in both corrosion rates and etch factor, and a protection of etched copper surfaces. However n-alkylamine additives acted as corrosion inhibitors at v < 10cm/s, those acted as corrosion accelerators at v of 10-220cm/s. The maximum corrosion rate was obtained with about 0.1 molal concentration of additives. Steric effects of substituted groups suppressed the acceleration of copper corrosion. The increases in both corrosion rates and flow rates gave the increase in etch factor. Corrosion rates with n-alkylamine increased in the order of ethylamine < n-propylamine < n-butylamine, those with butylamine isomers tert- < sec- < iso- < n-butylamine, and those with amine additives of different number of substituted groups tri- < di- < mono-n-propylamine, respectively.

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Toluene Decompositions over Al-W-incorporated Mesoporous Titanosilicates Photocatalysts

  • Lee, Ye-Ji;Kim, Young-Mi;Jeong, Ha-Rim;Yeo, Min-Kyeong;Kang, Mi-Sook
    • Bulletin of the Korean Chemical Society
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    • v.30 no.1
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    • pp.107-113
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    • 2009
  • This study investigated the decomposition activities of toluene on 10 mol% Al-W-incorporated mesoporous titano (15 mol %) silicates. The mesopore sizes observed in the transmission electron microscopy images ranged from 2.0 to 5.0 nm, and the pores were irregular on the addition of 10 mol% Al or W ions, but changed to regular hexagonal forms with the simultaneous additions of Al and W. The X-ray photon spectroscopy results showed a shift of the special peak for Ti2p in Al-incorporated mesoporous titanosilicates to a stronger binding energy compared to those of mesoporous titanosilicates and Al-incorporated mesoporous titanosilicates. Three O1s peaks in the spectra of the Al and W coexisted samples were observed at 530.5 and 531.7, 533, and 533.7eV, which were assigned to $Ti-Os\;in\;TiO_2\;and\;Ti_2O_3,\;Si-O\;in\;SiO_2\;and\;Al-O\;in\;Al_2O_3$, respectively. The toluene molecules desorbed at lower temperatures over W-incorporated mesoporous titanosilicates, and the amounts of toluene desorbed were also small; however, Al-incorporated mesoporous titanosilicates adsorbed much more toluene, particular over $Al_7.5-W_2.5-Ti_15-Si_75$. The photocatalytic decomposition of toluene was more enhanced over $Al_7.5-W_2.5-Ti_15-Si_75$ than over Al- or W-incorporated mesoporous titanosilicates only.

Heat Treatment Process Design of CrMoSC1 Steel by Prediction of Phase Transformation and Thermal Stress Analysis (상변태 예측 및 열응력 해석에 의한 CrMoSC1 강의 열처리 공정 설계)

  • Choi, B.H.;Kwak, S.Y.;Kim, J.T.;Choi, J.K.
    • Journal of the Korean Society for Heat Treatment
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    • v.18 no.4
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    • pp.247-255
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    • 2005
  • Although heat treatment is a process of great technological importance in order to obtain desired mechanical properties such as hardness, the process was required a tedious and expensive experimentation to specify the process parameters. Consequently, the availability of reliable and efficient numerical simulation program would enable easy specification of process parameters to achieve desired microstructure and mechanical properties without defects like crack and distortion. In present work, the developed numerical simulation program could predict distributions of microstructure and thermal stress in steels under different cooling conditions. The computer program is based on the finite difference method for temperature analysis and microstructural changes and the finite element method for thermal stress analysis. Multi-phase decomposition model was used for description of diffusional austenite decompositions in low alloy steels during cooling after austenitization. The model predicts the progress of ferrite, pearlite, and bainite transformations simultaneously during quenching and estimates the amount of martensite also by using Koistinen and Marburger equation. To verify the developed program, the calculated results are compared with experimental ones of casting product. Based on these results, newly designed heat treatment process is proposed and it was proved to be effective for industry.

The Determination of Anaerobic Biodegradability and Organic Fractionation of Agricultural Byproducts by Biochemical Methane Potential Assay Using Double First-Order Kinetic Model (반응속도 모델을 적용한 농업부산물의 혐기성 유기물분해율과 메탄생산잠재량 분석)

  • Shin, Kook-Sik;Yoon, Young-Man
    • Journal of the Korea Organic Resources Recycling Association
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    • v.29 no.4
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    • pp.55-65
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    • 2021
  • This study investigated methane productions and a degradation rate of organic matters by German standard method, VDI4630 test. In this study, 11 waste biomasses from agricultural fields were selected for the investigation. The objective of this study was to estimate a distribution of organic matters by using the Double first-order kinetics model in order to calculate the rate of biodegradable organic matters which degrade rapidly in the initial stage and the persistently biodegradable organic matters which degrade slowly later. As a result, all the biomasses applied in this study showed rapid decomposition in the initial stage. Then the decomposition rate began to slow down for a certain period and the rate became 10 times slower than the initial decomposition rate. This trend of decomposition rate changes is typical conditions of biomass decompositions. The easily degradable factors (k1) were raged between 0.097~0.152 day-1 from vegetable crops and persistent degradable factor (k2) were 0.002~0.024 day-1. Among these results, greater organic matter decomposition rates from VDI4630 had greater k1 values (0.152, 0.144day-1) and smaller k1 values (0.002, 0.005day-1) from cucumbers and paprika. In a meanwhile, radishes and tangerine rinds which had low decomposition rates showed 0.097 and 0.094 day-1 of k1 values and decomposition rates seems to affect k1 values.

The Study of the Effects of Nonthermal Plasma-Photocatalyst combined Reactor on Hydrocarbon Decomposition and Reduction during Cold Start and Warm-up in a SI Engine (스파크 점화기관 냉간 시동시 플라즈마 광촉매 복합장치에 의한 탄화수소 화합물 저감에 관한 실험적 연구)

  • Lee, Taek-Heon;Chun, Kwang-Min;Chun, Bae-Hyeock;Shin, Young-Gy
    • 한국연소학회:학술대회논문집
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    • 2001.11a
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    • pp.169-178
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    • 2001
  • Among the recent research ideas to reduce hydrocarbon emissions emitted from SI engines till light-off of catalyst since cold start are those exploiting non-thermal plasma technique and photo-catalyst that draws recent attention by virtue of its successful application to practical use to clean up the atmosphere using the feature of its relative independence on temperature. Based on the previous research results obtained with model exhaust gases using an experimental emissions reduction system that utilizes the non-thermal plasma and photo-catalyst technique, further investigation was conducted on a production N/A 1.5 liter DOHC engine during cold start to warm-up. For the effects of non-thermal plasma-photocatalyst combined reactor, 10% concentration reduction was achieved with the fuel component paraffins, and the large increase in non-fuel paraffinic components and acetylene concentrations were similar to those of base condition. However the absolute value was locally a bit higher than those of base condition since the products was made from the dissociation and decomposition of highly branched paraffins by plasma-photocatalyst reactor. Olefinic components were highly decomposed by about 75%, due to these excellent decompositions of olefins which have relatively high MIR values, and the SR value was 1.87 that is 30% reduction from that of base condition, then, the photochemical reactivity was lowered.

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Application of Thermal Plasma for Production of Hydrogen and Carbon Black from Direct Decomposition of Hydrocarbon (탄화수소의 직접분해로부터 수소와 카본블랙을 생성하기 위한 열플라즈마의 응용)

  • Lee, Tae-Uk;Nam, Won-Ki;Baeck, Sung-Hyeon;Park, Dong-Wha
    • Applied Chemistry for Engineering
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    • v.18 no.1
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    • pp.84-89
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    • 2007
  • Direct decomposition of hydrocarbon (methane, propane) was studied using a thermal plasma to produce high purity hydrogen and carbon black. Thermodynamic equilibrium compositions were calculated based on the minimization of Gibb's free energy, and decomposition experiments were performed on the basis of calculation results. The purity of hydrogen was found to be depended strongly on the flow rate of hydrocarbon. The decomposition conditions for high purity hydrogen were investigated. The purity of hydrogen produced from methane decomposition was higher than that from propane. In the case of propane, it was investigated that by products such as methane, acetylene, and ethane etc., by radical recombination under thermal plasma were produced more than that of methane. Produced carbon blacks were characterized by material analyses, such as XRD, Raman spectroscopy, SEM, and particle size analysis. In both methane and propane decompositions, well-crystallized carbon blacks were produced and showed uniform and sphere-like morphologies. The size of carbon black synthesized from methane was observed to be smaller than that from propane.

Thermal Decomposition Behavior of Boron-Potassium Nitrate (BKNO3) by TGA (열중량분석법에 의한 Boron-Potassium Nitrate(BKNO3)의 열분해 특성 연구)

  • Go, Cheongah;Kim, Junhyung;Park, Youngchul;Moon, Youngtaek;Seo, Taeseok;Ryu, Byungtae
    • Journal of the Korean Society of Propulsion Engineers
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    • v.23 no.2
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    • pp.104-110
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    • 2019
  • The thermal decomposition characteristics of boron-potassium nitrate ($BKNO_3$) were investigated by non-isothermal thermal gravimetric analysis (TGA). Two steps of mass loss were observed in the temperature range between room temperature and $600^{\circ}C$. Kinetic parameters of the thermal decompositions were evaluated from the measured TGA curves using the AKTS Thermokinetics Software. For the first step of mass loss ($220-360^{\circ}C$) corresponding to the thermal decomposition process of the binder (Laminac/Lupersol), the activation energy is in the range of approximately 120-270 kJ/mol when evaluated by Friedman's iso-conversional method, while the value of activation energy varies in the range of approximately 150-400 kJ/mol during the second step process ($360-550^{\circ}C$).

Hydrogen and Ethanol Gas Sensing Properties of Mesoporous P-Type CuO

  • Choi, Yun-Hyuk;Han, Hyun-Soo;Shin, Sun;Shin, Seong-Sik;Hong, Kug-Sun
    • Proceedings of the Korean Vacuum Society Conference
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    • 2012.08a
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    • pp.222-222
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    • 2012
  • Metal oxide gas sensors based on semiconductor type have attracted a great deal of attention due to their low cost, flexible production and simple usability. However, most works have been focused on n-type oxides, while the characteristics of p-type oxide gas sensors have been barely studied. An investigation on p-type oxides is very important in that the use of them makes possible the novel sensors such as p-n diode and tandem devices. Monoclinic cupric oxide (CuO) is p-type semiconductor with narrow band gap (~1.2 eV). This is composed of abundant, nontoxic elements on earth, and thus low-cost, environment-friendly devices can be realized. However, gas sensing properties of neat CuO were rarely explored and the mechanism still remains unclear. In this work, the neat CuO layers with highly ordered mesoporous structures were prepared by a template-free, one-pot solution-based method using novel ink solutions, formulated with copper formate tetrahydrate, hexylamine and ethyl cellulose. The shear viscosity of the formulated solutions was 5.79 Pa s at a shear rate of 1 s-1. The solutions were coated on SiO2/Si substrates by spin-coating (ink) and calcined for 1 h at the temperature of $200{\sim}600^{\circ}C$ in air. The surface and cross-sectional morphologies of the formed CuO layers were observed by a focused ion beam scanning electron microscopy (FIB-SEM) and porosity was determined by image analysis using simple computer-programming. XRD analysis showed phase evolutions of the layers, depending on the calcination temperature, and thermal decompositions of the neat precursor and the formulated ink were investigated by TGA and DSC. As a result, the formation of the porous structures was attributed to the vaporization of ethyl cellulose contained in the solutions. Mesoporous CuO, formed with the ink solution, consisted of grains and pores with nano-meter size. All of them were strongly dependent on calcination temperature. Sensing properties toward H2 and C2H5OH gases were examined as a function of operating temperature. High and fast responses toward H2 and C2H5OH gases were discussed in terms of crystallinity, nonstoichiometry and morphological factors such as porosity, grain size and surface-to-volume ratio. To our knowledge, the responses toward H2 and C2H5OH gases of these CuO gas sensors are comparable to previously reported values.

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Characterization of Chemical Composition and Thermal Behavior of Biomass Originated from Tobacco Industry (담배산업유래 바이오매스의 화학성분 및 열분해 특성 평가)

  • Sung, Yong Joo;Seo, Yung Bum
    • Journal of the Korean Wood Science and Technology
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    • v.36 no.6
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    • pp.138-146
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    • 2008
  • The chemical compositions, cell wall biopolymers and non-isothermal behavior of the stem biomass of Nicotiana Tabacum originated from tobacco industry were investigated in depth. On a weight basis, the contents of total ash and total sugar are 19.1% and 20.7% respectively. Lignin content was around 3% of tobacco stem biomass while pectin was over 7%. The holo-cellulose content in cell wall biopolymer was around 13% and the $\alpha$-cellulose constitutes 60% of the total holo-cellulose. The thermal behavior of stem biomass showed different patterns depending on either inert (nitrogen) or oxidizing (air) atmospheric condition. In the air atmosphere, the rapid thermal decompositions at around $473^{\circ}C$ and $581^{\circ}C$ were recorded as the peaks in DTG curve, while the peaks were not shown in the nitrogen atmosphere condition. The thermal analysis of the freeze dried soluble obtained from hot water extraction of tobacco stem biomass showed that the rapid thermal decomposition at around $581^{\circ}C$ in the air atmosphere was due to the residual char originated from the soluble fraction. The distinct difference in thermal decomposition between hemicellulose and cellulose were easily found in the DTG curve obtained in the nitrogen atmosphere.