• 제목/요약/키워드: spectral property

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GENERALIZED WEYL'S THEOREM FOR ALGEBRAICALLY $k$-QUASI-PARANORMAL OPERATORS

  • Senthilkumar, D.;Naik, P. Maheswari;Sivakumar, N.
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.4
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    • pp.655-668
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    • 2012
  • An operator $T\;{\varepsilon}\;B(\mathcal{H})$ is said to be $k$-quasi-paranormal operator if $||T^{k+1}x||^2\;{\leq}\;||T^{k+2}x||\;||T^kx||$ for every $x\;{\epsilon}\;\mathcal{H}$, $k$ is a natural number. This class of operators contains the class of paranormal operators and the class of quasi - class A operators. In this paper, using the operator matrix representation of $k$-quasi-paranormal operators which is related to the paranormal operators, we show that every algebraically $k$-quasi-paranormal operator has Bishop's property ($\beta$), which is an extension of the result proved for paranormal operators in [32]. Also we prove that (i) generalized Weyl's theorem holds for $f(T)$ for every $f\;{\epsilon}\;H({\sigma}(T))$; (ii) generalized a - Browder's theorem holds for $f(S)$ for every $S\;{\prec}\;T$ and $f\;{\epsilon}\;H({\sigma}(S))$; (iii) the spectral mapping theorem holds for the B - Weyl spectrum of T.

The Subjective Evaluation on White Light Property and Color Appearance of Single Chip LED and RGB Multi Chip LED (단일칩 LED와 RGB 멀티칩 LED의 백색광 특성 및 색 보임에 대한 주관평가 연구)

  • Sim, Yun-Ju;Kim, In-Tae;Choi, An-Seop
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.1
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    • pp.1-8
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    • 2015
  • To produce the white light, there are a single chip method using the blue light and phosphor coating, a multi chip method by mixing R, G, B light.. Multi chip method is proper for the smart lighting system by controling color and color temperature. And color rendering of single chip LED is good by even spectral distribution. To apply application technic like smart light system, this paper analyzed the properties of single chip LED and RGB multi chip LED, and implemented the 2 part subject evaluation for single chip LED and RGB multi chip LED. The first part is comparison of properties for single chip LED and RGB multi chip and second part is color appearance evaluation of 8 colors in each lighting environment.

Gas sensing property of polypyrrole and SnO2 composite (폴리피롤과 산화주석 복합재료를 이용한 센서의 가스 검지 특성)

  • Kim, Do-Yeon;Yu, Joon-Boo;Son, Sung-Ok;Huh, Jeung-Soo
    • Journal of Sensor Science and Technology
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    • v.15 no.3
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    • pp.211-215
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    • 2006
  • Conducting polymer (Polypyrrole) and Tin oxide ($SnO_{2}$) composite films have been fabricated with layer-by-layer technique. $SnO_{2}$ layer was screen-printed on $Al_{2}O_{3}$ substrate and then was dip-coated with polypyrrole (Ppy). The microstructures of composite films were evaluated by a field emission scanning electron microscope (FE-SEM) and FTIR spectral analysis. The change in sensitivity to various VOCs was observed. The target VOCs were methanol, ethanol, benzene and toluene. The sensitivities of the $Ppy/SnO_{2}$ sensor to benzene and toluene were very low at 1000 ppm (2.1 %, 1.5 %), while the sensitivities to methanol and ethanol was high (9 %, 11 %). It indicates that the sensors have selectivity to alcoholic gases such as methanol and ethanol.

Study on Regrouping of Gray Gases in spectral WSGGM for Arbitrary Mixtures of CO2 and H2O Gases (이산화탄소-수증기 혼합가스에 대한 파장별 회색가스가중합법에서 회색가스재조합에 대한 연구)

  • Park, Won-Hee;Kim, Tae-Kuk
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.27 no.2
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    • pp.227-235
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    • 2003
  • The WSGG-based narrow band model was employed to solve the radiative transfer equations along isothermal and non-isothermal paths through $CO_2-H_2O-N_2$ gas mixtures at 1 atm. When the WSGGM is applied for arbitrary gas mixtures by considering the multiplication property of transmissivity in overlapping bands, the number of gray gases is significantly increased. To reduce the computation time, three different regrouping methods for the gray gases are tested in obtaining the mean absorption coefficient for each gray gas group. Among them, the regrouping method by minimizing the regrouping error shows the best results. For the isothermal media, 10 gray gases show fairly good agreement with the results by statistical narrow band(SNB) model which are regarded as reference solutions. For non-isothermal media, 20 gray gases show good agreement with reference solutions.

An Overview of Remote Sensing of Chlorophyll Fluorescence

  • Xing, Xiao-Gang;Zhao, Dong-Zhi;Liu, Yu-Guang;Yang, Jian-Hong;Xiu, Peng;Wang, Lin
    • Ocean Science Journal
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    • v.42 no.1
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    • pp.49-59
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    • 2007
  • Besides empirical algorithms with the blue-green ratio, the algorithms based on fluorescence are also important and valid methods for retrieving chlorophyll-a concentration in the ocean waters, especially for Case II waters and the sea with algal blooming. This study reviews the history of initial cognitions, investigations and detailed approaches towards chlorophyll fluorescence, and then introduces the biological mechanism of fluorescence remote sensing and main spectral characteristics such as the positive correlation between fluorescence and chlorophyll concentration, the red shift phenomena. Meanwhile, there exist many influence factors that increase complexity of fluorescence remote sensing, such as fluorescence quantum yield, physiological status of various algae, substances with related optical property in the ocean, atmospheric absorption etc. Based on these cognitions, scientists have found two ways to calculate the amount of fluorescence detected by ocean color sensors: fluorescence line height and reflectance ratio. These two ways are currently the foundation for retrieval of chlorophyll-a concentration in the ocean. As the in-situ measurements and synchronous satellite data are continuously being accumulated, the fluorescence remote sensing of chlorophyll-a concentration in Case II waters should be recognized more thoroughly and new algorithms could be expected.

A DUAL ITERATIVE SUBSTRUCTURING METHOD WITH A SMALL PENALTY PARAMETER

  • Lee, Chang-Ock;Park, Eun-Hee
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.461-477
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    • 2017
  • A dual substructuring method with a penalty term was introduced in the previous works by the authors, which is a variant of the FETI-DP method. The proposed method imposes the continuity not only by using Lagrange multipliers but also by adding a penalty term which consists of a positive penalty parameter ${\eta}$ and a measure of the jump across the interface. Due to the penalty term, the proposed iterative method has a better convergence property than the standard FETI-DP method in the sense that the condition number of the resulting dual problem is bounded by a constant independent of the subdomain size and the mesh size. In this paper, a further study for a dual iterative substructuring method with a penalty term is discussed in terms of its convergence analysis. We provide an improved estimate of the condition number which shows the relationship between the condition number and ${\eta}$ as well as a close spectral connection of the proposed method with the FETI-DP method. As a result, a choice of a moderately small penalty parameter is guaranteed.

Study on Type of Different Polyols for Physical Properties of Polyurethane Foam Under Sea Water (해수에서 폴리올 종류가 폴리우레탄 폼의 물성에 미치는 영향)

  • Kim, Sang-Bum
    • Elastomers and Composites
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    • v.46 no.2
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    • pp.158-163
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    • 2011
  • Rigid polyurethane foam (PUF) was synthesized with different contents of aliphatic polyester polyol, aromatic polyester polyol and aliphatic polyether polyol to know change of properties under sea water. UTM(universal testing machine), DSC(differential scanning calorimetry), hardness meter and FT-IR(Fourier transform spectroscopy) were used to study the PUF`s physical properties under sea water. Compressive strength and hardness of PUF decreased with increasing the content of aromatic polyester polyol under sea water as aging. According to the results of IR spectral analysis, reduction of urethane and urea peak was found and allophanate and biuret peak increased. Although glass transition temperature of PUF increased, mechanical properties of PUF decreased under sea water, because PUF gets brittle when crosslink density increase.

Low-frequency Noise Characteristics of Si0.8Ge0.2 pMOSFET Depending upon Channel Structures and Bias Conditions (채널구조와 바이어스 조건에 따른 Si0.8Ge0.2 pMOSFET의 저주파잡음 특성)

  • Choi Sang-Sik;Yang Hun-Duk;Kim Sang-Hoon;Song Young-Joo;Lee Nae-Eung;Song Jong-In;Shim Kyu-Hwan
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.19 no.1
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    • pp.1-6
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    • 2006
  • High performance $Si_{0.8}Ge_{0.2}$ heterostructure metal-oxide-semiconductor field effect transistors (MOSFETs) were fabricated using well-controlled delta-doping of boron and $Si_{0.8}Ge_{0.2}$/Si heterostructure epitaxal layers grown by reduced pressure chemical vapor deposition. In this paper, we report 1/f noise characteristics of the SiGe pMOSFETs measured under various bias conditions of the gate and drain voltages changing in linear operation regions. From the noise spectral density, we found that the gate and drain voltage dependence of the noise represented same features, as usually scaled with $f^{-1}$ However, 1/f noise was found to be much lower in the device with boron delta-doped layer, by a factor of $10^{-1}_10^{-2}$ in comparison with the device fabricated without delta-doped layer. 1/f noise property of delta-doped device looks important because the device may replace bipolar transistors most commonly embedded in high-frequency oscillator circuits.

A Study on the Robust Compensator of An Inverted Pendulum Using $H_{\infty}$ Optimal Control Theory ($H_{\infty}$ 최적제어 이론을 이용한 도립진자의 견실한 보상기 설계에 관한 연구)

  • 김대현;정규홍;이석재;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.213-218
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    • 1991
  • A new model which contains the dynamics of the motor system and the kinematics of the timing belt system is derived for an inverted pendulum system in FAPA Lab. Generalized standard compensator configuration(SCC) which contains the variable design parameters Kl, K2, .., K5 is proposed so that any desired design specification can be achieved. The robust controller which has robust property against the influence of sensor noise, system parameter variation and model uncertainty is designed minimizing the H$_{\infty}$-norm of transfer function from exogenous input to controlled output. The method of solving the two Riccati equations in state space and determining the controller uses on iteration method where the unique stabilizing solution to two algebraic Riccati equation must be positive definite and the spectral radius of their product less than .gamma.$^{2}$. Some cases are derived by varying the design parameter for simulation on a digital computer and experimenting the H$_{\infty}$- controller on an analog computer. The design parameters of controller which satisfies the desired control specification is selected on the basis of the simulation result and experimenting. The reasonableness and validity of the simulation and the robustness of the controller is established.d.

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Phytochemical and pharmacological evaluation of the flowers of Sarcostemma brevistigma Wight

  • Lalitha, KG;Sethuraman, MG
    • Advances in Traditional Medicine
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    • v.9 no.3
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    • pp.252-258
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    • 2009
  • Shade-dried flowers of Sarcostemma brevistigma Wight Syn (SBF) belonging to Asclepiadaceae yielded a rare flavonol glycoside viz., Quercetin 5a prenyl, 3-O-glucosyl, 7-O-(4c-p-coumaroyl) neohesperidoside which were characterized based on chemical and spectral (including 2D NMR) studies. The ethyl acetate fraction of alcoholic concentrate (test sample) of flowers of this plant (SBF) was evaluated for its hepatoprotective and inhibition of lipid peroxidation activities to investigate the scientific basis of the traditional uses. The oral administration in varying doses viz., 125 and 250 mg/kg of aqueous suspension of SBF to rats for 7 days produced significant (P < 0.01) hepatoprotective effect comparable to that of standard drug silymarin. The SBF afforded good hepatoprotection against $CCl_4$ induced elevation levels of serum marker enzymes, serum bilirubin and liver weight. The free radical scavenging effects of SBF and flavonol glycoside (SA) were assigned by $Fe^{2+}$/ascorbate induction method (in vitro), which revealed the inhibition of lipid peroxidation. The SBF and SA showed prominent anti-lipid peroxidation activity ($IC_{50}$ about $\sim$180 mg/ml and 11.0 mg/ml respectively), which was comparable to standard drug curcumin ($IC_{50}$ about $\sim$8.25 mg/ml). Thus the hepatoprotective activity of SB could be correlated to the free radical scavenging property of the flavonol glycoside.