• Title/Summary/Keyword: sigma value

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Kinetic Studies on the Reaction of Benzyl m-Nitrobenzenesulfonate with N,N-Dimethylanilines (벤질 m-술폰산니트로벤젠과 N,N-디메틸아닐린類와의 反應에 關한 反應速度論的 硏究)

  • Yoh Soo-Dong;Lee Mu-Sang
    • Journal of the Korean Chemical Society
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    • v.23 no.1
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    • pp.37-41
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    • 1979
  • The kinetics of the reaction of benzyl m-nitrobenzenesulfonate with m-and p-substituted N,N-dimethylanilines in acetone have been investigated by an electric conductivity method. The effects of substituents on the reactivity of N,N-dimethylaniline and the existence of linear free energy relationship were discussed. The rate constants k were in the range 2.55∼487 $10^{-4}l{\cdot}mol^{-l}{\cdot}sec^{-1} (35^{\circ}C)$ and increased with the electron donating ability of substituents. In the present reaction, the Hammett plot was correlated with ${\sigma}$ substituent constant, especially using the new ${\sigma}$ value of 0.35 in p-MeO and it's ${\rho}$ value was found to be -1.37. r value for the reaction was very large than the value obtained in the reaction of benzyl bromide. $Br{\"{o}}nsted$ linear relationship was shown between rate constant and basicites except for p-MeO resulted from solvent effect. From the Bronsted plot, this reaction was suggested that the cleavage of the C${\cdot}{\cdot}{\cdot}$O bond in the $S_N2$ transition state proceed the bond formation.

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The black hole mass-stellar velocity relation of the present-day active galaxies

  • Woo, Jong-Hak
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.1
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    • pp.79-79
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    • 2010
  • To investigate whether the present-day active galaxies follow the same black hole mass vs. stellar velocity dispersion (MBH-$\sigma*$) relation as quiescent galaxies, we measured the velocity dispersions of a sample of local Seyfert 1 galaxies, for which black hole masses were measured via reverberation mapping. We measured stellar velocity dispersions from high S/N optical spectra centered on the Ca II triplet region (${\sim}8500^{\circ}A$), obtained at the Keck, Palomar, and Lick Observatories. For two objects, in which the Ca II triplet region was contaminated by nuclear emission, we used high-quality H-band spectra obtained with the OH-Suppressing Infrared Imaging Spectrograph and laser-guide star adaptive optics at the Keck-II Telescope. Combining our new measurements with data from the literature, we assemble a sample of 24 active galaxies with stellar velocity dispersions and reverberation MBH in the range of black hole mass 106< MBH /$M{\odot}$ < 109,toobtainthefirstreverberationmappingconstraintsontheslopeandintrinsicscatteroftheMBH- $\sigma*$ relation of active galaxies. Assuming a constant virial coefficient f for the reverberation MBH, we find a slope ${\beta}=3.55{\pm}0.60$ and the intrinsic scatter ${\sigma}int=0.43{\pm}0.08$ dex in the relation log (MBH/M${\odot}$)=$\alpha+\beta$ log(${\sigma}*$/200 km s-1), which are consistent with those found for quiescent galaxies. We derive an updated value of the virial coefficient f by finding the value which places the reverberation masses in best agreement with the MBH - $\sigma*$ relation of quiescent galaxies; using the quiescent MBH - $\sigma*$ relation determined by Gultekin et al. we find log f=0.72+0.09 (or $0.71{\pm}0.10$) with an intrinsic scatter of $0.44{\pm}0.07$ (or 0.46+0.07) dex. No correlations between f and parameters connected to the physics of accretion (such as the Eddington ratio or line-shape measurements) are found. The uncertainty of the virial coefficient remains one of the main sources of the uncertainty in black hole mass determination using reverberation mapping, and therefore also in single-epoch spectroscopic estimates of black hole masses in active galaxies.

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A Study on the Optimization of the Dimensional Deviation due to the Shortening of the Cycle Time for Rear Cover of Mobile Phone (휴대폰 후면 커버의 공정시간 단축에 따른 치수 편차의 최적화에 관한 연구)

  • Kim, Joo-Kwon;Kim, Jong-Sun;Lee, Jun-Han;Kwak, Jae-Seob
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.6
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    • pp.117-124
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    • 2017
  • In this study, we investigated the optimization of process conditions by using the Six Sigma process, design of experiment (DOE) method and response surface method (RSM) to resolve dimensional deviation and appearance problems arising from the shortened process time of the mobile phone rear cover. The analysis of the trivial many was performed by 2-sample T-test and cooling time, and mold temperature and packing pressure were selected as the vital fews affecting the overall width of the product. The optimal conditions of the process were then studied using the DOE and the RSM. We analyzed the improvement effects by applying the selected optimal conditions to the production process and the results showed that the difference between the mean value and target value of the overall width stood at 0.01 mm, an improvement of 88.89% compared to current process that fell within the range of standard dimension. The short-term process capability stood at $4.77{\sigma}$, which implied an excellent technology level despite a decrease by $0.22{\sigma}$ compared to the current process. The difference in process capability decreased by $2.44{\sigma}$ to $0.41{\sigma}$, showing a significant improvement in management capability. Ultimately, the process time of the product was shortened from 18.3 seconds in the current process to 13.65 seconds, resulting in a 34.07% improvement in production yield.

A Study of interior design process and 6sigma application - Focused on display space design improvement in department store - (실내디자인 프로세스와 6시그마 적용 사례 연구 - 백화점내 연출 공간 디자인 개선을 중심으로 -)

  • Yeom, Dae-Keon
    • Korean Institute of Interior Design Journal
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    • v.16 no.2 s.61
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    • pp.322-330
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    • 2007
  • Because 6sigma is doing innovative success In management whole, estimate that can exert direct effect in interior Design management. Therefore, this study did by purpose that 6sigma that is scientific method that do customers satisfaction by ultimate purpose acts as basic study that can heighten practical use Possibility and result of interior Design management and value by interior design standardization process. Need to use marketing data that is scientific design component at schematic design step for successful interior design that can improve result. Hereupon, this study is doing to big dimension that utilizes 6sigma and makes standard process of only Interior Design, and did to dimension that present study phase verifies if '6sigma' is practical use possibility by intoner design process. Did by method that verification method of 6sigma practical use possibility analyzes "Information transmission efficiency improvement of department store display space" 6sigma project example. When see that example project is analyzed on Improvement constituent that "Design improvement" out of Vital few Xs of statistical analysis item must heighten the customers satisfaction rate conclusively, target process might be established because design becomes center of gravity if did design improvement very first time. Finally, possibility that 6sigma can utilize in process of interior design is verified, and it is scientific methodology that can utilize to all business members that there are not any special category of business even if is in practical use. Such scientific 6sigma method need persistent study that make standard process analyzing a lot of problems that is expected to be beaconed and happens substantially in here after to management development of interior design.

SOLUTIONS TO M-POINT BOUNDARY VALUE PROBLEMS OF THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS AT RESONANCE

  • XUE CHUNYAN;DU ZENGJI;GE WEIGAO
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.229-244
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    • 2005
  • In this paper, we study the third order ordinary differential equation : $$x'(t)=f(t,x(t),x'(t),x'(t)),t{\in}(0,1)$$ subject to the boundary value conditions: $$x'(0)=x'(\xi),x'(1)=^{m-3}{\Sigma}_{i=1}{{\beta}x'({\eta}i),x'(1)=0}$$. Here ${\beta}_{i}{\in}R,\;^{m-3}{\Sigma}_{i=1}\;{\beta}_{i}\;=\;1,\;0<{\eta}_1<{\eta}_2<{\cdots}<{\eta}_{m-3}<1,\;0<\xi<1$. This is the case dimKer L = 2. When the ${\beta}_i$ have different signs, we prove some existence results for the m-point boundary value problem at resonance by use of the coincidence degree theory of Mawhin [12, 13]. Since all the existence results obtained in previous papers are for the case dimKerL = 1, our work is new.

Analysis on the Fatigue Fracture Surface of Gas Piping Material using the X-Ray Fractography (X-선 프랙토그라피에 의한 가스배관재의 피로파면해석)

  • Lim, Man-Bae
    • Journal of the Korean Society of Safety
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    • v.17 no.1
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    • pp.18-24
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    • 2002
  • This study verified the relationship between fracture mechanics parameters(${\Delta}K,\;K_{max}$) and X-ray parameters ($(\sigma}_r,;B$) for G365 steel at elevated temperature up to $300{\circ}C$. The fatigue crack propagation test were carried out and X-ray diffraction technique according to crack length direction was applied to fatigue fractured surface. The residual stress on the fracture surface was found to increase in low ${\Delta}K$ region, reach to a maximum value at a certain value of $K_{max}$ or ${\Delta}K$ and then decrease. Residual stress was independent on stress ratio by arrangement of ${\Delta}K$ and half value breadth was independent by the arrangement of $K_{max}$. The equation of ${\sigma}_r-{\Delta}K$ was established by the experimental data. Therefore, fracture mechanics parameters could be estimated by the measurement of X-ray parameters.

Statistical Fracture Analysis of Turbine blade (터어빈 블레이드의 통계적 파괴 분석)

  • Choi, Jae-Ung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.2
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    • pp.101-106
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    • 2006
  • The optimum design of turbine blade at minimized fatigue life can be derived by the statistical fatigue analysis in this study, The optimum value of positions in the axes of X and Y at turbine blade can be found by design of experiments on the condition that the value of fillet radius is fixed to minimize the fatigue life. The degree of uncertainty about process at the factors in the axes of X and Y can be calculated by six sigma analysis. The optimum value of fillet radius is determined by utilizing the robust design at uncertain condition. It is concluded that maximum von Mises stress can decreased by 20% and the fatigue life can be double.

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Stability of Oil-in-Water Emulsions with Different Saturation Degrees from Beef Tallow Alcoholysis Products (우지 Alcoholysis 반응물을 이용한 Oil-in-Water Emulsion의 포화도에 따른 산화특성 및 안정성 연구)

  • Zhang, Hua;Lee, Young-Hwa;Shin, Jung-Ah;Lee, Ki-Teak;Hong, Soon-Teak
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.42 no.6
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    • pp.933-940
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    • 2013
  • In this study, methyl esters with different saturated fatty acids (SFA) were prepared by urea fractionation to make an oil-in-water emulsion. Emulsion characteristics (emulsion stability and oxidative stability) of the methyl ester emulsion were then studied at different percentages of methyl ester saturation (5, 28, 39, 50, and 72%, termed ${\Sigma}$SFA5, ${\Sigma}$SFA28, ${\Sigma}$SFA39, ${\Sigma}$SFA50, and ${\Sigma}$SFA72, respectively). The stability of emulsions (ES) with different SFA content was 46.0 (${\Sigma}$SFA5), 39.5 (${\Sigma}$SFA28), 32.7 (${\Sigma}$SFA39), 32.6 (${\Sigma}$SFA50), and 27.3 (${\Sigma}$SFA72). Results from Turbiscan showed that creaming or clarification, based on the backscattering intensity, was more pronounced with increases in the saturation degree of the emulsion. These results implied that the emulsions with lower saturation were more stable. During 30 days of storage, the lipid peroxide value increased for all emulsions, with the increase less pronounced with the increasing saturation of the emulsion; 1.880 (${\Sigma}$ SFA5), 1.267 (${\Sigma}$SFA28), 1.062 (${\Sigma}$SFA39), 0.342 (${\Sigma}$SFA50) and 0.153 (${\Sigma}$SFA72) mg $H_2O_2/mL$ emulsion. In addition, thiobarbituric acid reactive substances (TBARS) values were significantly lower in emulsions with high saturation (4.419 mg for ${\Sigma}$SFA50 and 4.226 mg for ${\Sigma}$SFA72) than emulsions with low saturation (6.229 mg for ${\Sigma}$SFA5, 6.801 mg for ${\Sigma}$SFA28 and 6.246 mg for ${\Sigma}$SFA39). In conclusion, the emulsions with a higher saturation degree of methyl esters showed lower emulsion stability but better oxidation stability.

Analysis of Sigma Inflation Factor with Respect to Elevation Angle for GBAS Availability Improvement (위성 앙각별 시그마 팽창계수 분석을 통한 GBAS 가용성 향상)

  • Park, Jong-Geun;Ahn, Jongsun;Jun, Hyang-Sig;Yeom, Chan-Hong;Sung, Sangkyung;Lee, Young Jae
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.5
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    • pp.368-375
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    • 2014
  • The Ground Based Augmentation System (GBAS) is influenced by environmental factors, making analysis in the installation region important. This study has proposed the sigma inflation of the B-value considering the satellite elevation angle and analyzed the Vertical Protection Level (VPL) of the H1 hypothesis. After collecting data that meet the environmental conditions of the installation region, sigma expansion coefficients by the unit of satellite elevation angle ($5^{\circ}$) have been estimated. The obtained results were functionalized through curve-fitting, and sigma inflation customized for the environmental conditions of the test region was proposed. Then, the characteristics were classified and analyzed depending on humidity and solar activities. According to the sigma inflation with respect to elevation angle analysis, changes in the size of sigma inflation factors by the difference of humidity were minor. However, the VPL under the satellite elevation angle-based sigma inflation met integrity. Also, considering the sigma inflation factor with respect to elevation angle, compared to existing methods, high-integrity and improved availability is confirmed by removing unnecessary margins in high elevation angle satellite.

CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES

  • Chang, Se-Kyung;Lee, Min-Young
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.4
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    • pp.375-381
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    • 2006
  • This paper presents characterizations based on the identical distribution and the finite moments of the exponential distribution by record values. We prove that $X{\in}EXP({\sigma})$, ${\sigma}$>0, if and only if $X_{U(n+k)}-X_{U(n)}$ and $X_{U(n)}-X_{U(n-k)}$ for n > 1 and $k{\geq}1$ are identically distributed. Also, we show that $X{\in}EXP({\sigma})$, ${\sigma}$>0, if and only if $E(X_{U(n+k)}-X_{U(n)})=E(X_{U(n)}-X_{U(n-k)})$ for n>1 and $k{\geq}1$.

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