• Title/Summary/Keyword: linear group

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Solution Viscosity and Relative Reactivity of Branched and Linear Polycarbonates

  • Kim, Sang-Pil;Lee, Bong-Hee;Kim, Sang-Hern;Kim, Whan-Gi
    • Journal of the Korean Applied Science and Technology
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    • v.17 no.2
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    • pp.76-82
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    • 2000
  • The relative reactivities of branched and linear polycarbonates were investigated by measuring unreacted chloroformate concentration. It was found that the polymerization for the branched polymer proceeded ca. 10 times faster than that for the linear polymers. The effect of catalyst on a condensation step was studied by changing the amount of TEA (triethylamine) at $t_{0}$ and $t_{60}$ with keeping constant amount of TEA. The viscosity average molecular weight for the obtained branched polycarbonates were measured and compared with those of linear polycarbonates. It was found that the viscosity molecular weights of the obtained polymers decreased nonlinearly as wt % of added oligomer increased. The solution viscosities in methylenechloride for linear and branched polycarbonate increased nonlinearly as the content of polymer increased.

The Radioprotection Effect of Aronia on Livers of Laboratory Rats Radiated to 6 MV X-ray of Linear Accelerator (선형가속기 6 MV X선에 조사된 흰쥐의 간에서 아로니아의 방사선 방호효과)

  • Lee, Jun-Haeng
    • Journal of the Korean Society of Radiology
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    • v.14 no.2
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    • pp.97-104
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    • 2020
  • This aimed at figuring out if there were the radioprotection effects of aronia on livers of laboratory rats radiated through serum test. For the objects of animal testing, one group consists of five male laboratory rats (weight 200~250 g), and the groups were set as follows: Group 1, normal; Group 2, 5 Gy radiated control group; and Group 3, 5 Gy radiated experiment group with aronia. Group 1(A) was prescribed with ordinary meal without radiation while the control group, Group 2(B) was prescribed with ordinary meal and radiation, and the experiment group, Group 3(C) was orally prescribed with aronia (daily oral dosage: 100 mg/kg/day) diluted with distilled water at the amount of 50 mg/kg/day twice a week, using oral zonde needle for rats for 14 days before being radiated, and then, radiation were made on them. For the study, using Linac (Linear Accelerator) 6 MV X-ray therapy device, rats were irradiated on their whole bodies once, and their blood was sampled for conducting five blood serum tests with regard to liver. For statistical analysis, ANOVA test was conducted. In conclusion, as a result of the analysis, it seemed that there were no the radioprotection effects of aronia on liver. However, it was confirmed statistically that ALB (P>0.05) showed no significance and that TP (P<0.05) showed significant differences. It is expected that there should be more tests in future.

The use of linear stochastic estimation for the reduction of data in the NIST aerodynamic database

  • Chen, Y.;Kopp, G.A.;Surry, D.
    • Wind and Structures
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    • v.6 no.2
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    • pp.107-126
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    • 2003
  • This paper describes a simple and practical approach through the application of Linear Stochastic Estimation (LSE) to reconstruct wind-induced pressure time series from the covariance matrix for structural load analyses on a low building roof. The main application of this work would be the reduction of the data storage requirements for the NIST aerodynamic database. The approach is based on the assumption that a random pressure field can be estimated as a linear combination of some other known pressure time series by truncating nonlinear terms of a Taylor series expansion. Covariances between pressure time series to be simulated and reference time series are used to calculate the estimation coefficients. The performance using different LSE schemes with selected reference time series is demonstrated by the reconstruction of structural load time series in a corner bay for three typical wind directions. It is shown that LSE can simulate structural load time series accurately, given a handful of reference pressure taps (or even a single tap). The performance of LSE depends on the choice of the reference time series, which should be determined by considering the balance between the accuracy, data-storage requirements and the complexity of the approach. The approach should only be used for the determination of structural loads, since individual reconstructed pressure time series (for local load analyses) will have larger errors associated with them.

Effect of Functional Exercise Using Linear Ladder on EEG Activities in College Men (줄사다리를 이용한 기능적 운동이 남자대학생의 뇌파 활성에 미치는 영향)

  • Jung, Suk Yool;Lee, Hae Lim;Lee, Sung Ki
    • Journal of Naturopathy
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    • v.11 no.2
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    • pp.79-84
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    • 2022
  • Background: Exercise influences the generation of brain cells through learning and experience in the process of acquiring motor skills and helps improve brain function. It is necessary to scientifically verify how brain wave activity, a method of analyzing brain function, affects movement. Purposes: We scientifically identify the positive effects on EEG activity when applying complex functional linear ladder movements in an appropriate environment. Methods: After recruiting 30 male university students, we divided them into a linear ladder exercise group, a treadmill exercise group, and a control group, and exercise was applied and measured repeatedly for ten weeks. Results: There was a statistically significant change between groups in the left prefrontal lobe of alpha waves when exercise was applied (p < .05). Conclusions: Although exercise has a positive effect on EEG, line ladder exercise, which applies a complex pattern and produces more leg movement, appears to have a better impact on brain function than traditional aerobic exercise.

Molecular Orbital Treatment On The Heteroatom Model of Hyper-conjugation (Hetero-Atom Model의 超共節理論)

  • Park, Byung-Kak
    • Journal of the Korean Chemical Society
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    • v.14 no.1
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    • pp.1-4
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    • 1970
  • The methyl group does not possess an unshared pair of electrons. But F.A. Matsen has introduced the concept of the methyl group as a Pseudo-heteroatom which contributes a pair of electrons to ${\pi}$ system. In this heteroatom model, A. Streitwieser et al have assumed that the electrons in a methyl group behave to their approximation as a single electron pair on a single atom. But the theoretical basis on the heteroatom model hyper-conjugation has not studied yet. In this paper, Linear combination of Bond orbital and group theory is used to investigate the theoretical basis for it.

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RELATIVE PROJECTIVE MONOMIAL GROUPS

  • Choi, Eun-Mi
    • Communications of the Korean Mathematical Society
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    • v.15 no.3
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    • pp.481-492
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    • 2000
  • As an application of Clifford theory, we are interested in a situation in which every irreducible projective character of a finite group G is an induced character of an irreducible linear character of some subgroup H of G. For this purpose, we study relative projective monomial groups with respect to subgroups.

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A Linear Programming Model to the Score Adjustment among the CSAT Optional Subjects (대입수능 선택과목 점수조정을 위한 선형계획모형 개발 및 활용)

  • Nam, Bo-Woo
    • Korean Management Science Review
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    • v.28 no.1
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    • pp.141-158
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    • 2011
  • This study concerns with an applicability of the management science approach to the score adjustment among the College Scholastic Aptitude Test(CSAT) optional subjects. A linear programming model is developed to minimize the sum of score distortions between optional subjects. Based on the analysis of the 377,089 CSAT(2010) applicants' performances in social science test section, this study proposes a new approach for the score equating or linking method of the educational measurement theory. This study makes up for the weak points in the previous linear programming model. First, the model utilize the standard score which we can get. Second, the model includes a goal programming concept which minimizes the gap between the adjusting goal and the result of the adjustment. Third, the objective function of the linear programing is the weighted sum of the score distortion and the number of applicants. Fourth, the model is applied to the score adjustment problem for the whole 11 optional subjects of the social science test section. The suggested linear programming model is a generalization of the multi-tests linking problem. So, the approach is consistent with the measurement theory for the two tests and can be applied to the optional three or more tests which do not have a common anchor test or a common anchor group. The college admission decision with CSAT score can be improved by using the suggested linear programming model.

The α-Effect in Hydrazinolysis of 4-Chloro-2-Nitrophenyl X-Substituted-Benzoates: Effect of Substituent X on Reaction Mechanism and the α-Effect

  • Kim, Min-Young;Kim, Tae-Eun;Lee, Jieun;Um, Ik-Hwan
    • Bulletin of the Korean Chemical Society
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    • v.35 no.8
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    • pp.2271-2276
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    • 2014
  • Second-order rate constants ($k_N$) have been measured spectrophotometrically for the reaction of 4-chloro-2-nitrophenyl X-substituted-benzoates (6a-6h) with a series of primary amines including hydrazine in 80 mol % $H_2O$/20 mol % DMSO at $25.0^{\circ}C$. The Br${\o}$nsted-type plot for the reaction of 4-chloro-2-nitrophenyl benzoate (6d) is linear with ${\beta}_{nuc}$ = 0.74 when hydrazine is excluded from the correlation. Such a linear Br${\o}$nsted-type plot is typical for reactions reported previously to proceed through a stepwise mechanism in which expulsion of the leaving group occurs in the rate-determining step (RDS). The Hammett plots for the reactions of 6a-6h with hydrazine and glycylglycine are nonlinear. In contrast, the Yukawa-Tsuno plots exhibit excellent linear correlations with ${\rho}_X$ = 1.29-1.45 and r = 0.53-0.56, indicating that the nonlinear Hammett plots are not due to a change in RDS but are caused by resonance stabilization of the substrates possessing an electron-donating group (EDG). Hydrazine is ca. 47-93 times more reactive than similarly basic glycylglycine toward 6a-6h (e.g., the ${\alpha}$-effect). The ${\alpha}$-effect increases as the substituent X in the benzoyl moiety becomes a stronger electron-withdrawing group (EWG), indicating that destabilization of the ground state (GS) of hydrazine through the repulsion between the nonbonding electron pairs on the two N atoms is not solely responsible for the substituent-dependent ${\alpha}$-effect. Stabilization of transition state (TS) through five-membered cyclic TSs, which would increase the electrophilicity of the reaction center or the nucleofugality of the leaving group, contributes to the ${\alpha}$-effect observed in this study.

Kinetics and Mechanism of Nucleophilic Displacement Reactions of Y-Substituted Phenyl Benzoates with Z-Substituted Phenoxides

  • Min, Se-Won;Seo, Jin-A;Um, Ik-Hwan
    • Bulletin of the Korean Chemical Society
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    • v.30 no.10
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    • pp.2403-2407
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    • 2009
  • Second-order rate constants have been measured for two series of nucleophilic displacement reactions, i.e., reactions of 4-nitrophenyl benzoate with Z-substituted phenoxides and those of Y-substituted phenyl benzoates (1a-h) with 4-chlorophenoxide (4-ClPhO–) in 80 mol% $H_2O$/20 mol% DMSO at 25.0 ${\pm}\;0.1\;{^{\circ}C}$. The Br$\phi$nsted-type plot for reactions of 4-nitrophenyl benzoate with Z-substituted phenoxides exhibits an excellent linear correlation with ${\beta}_{nuc}$ = 0.72. Reactions of 1a-h with 4-chlorophenoxide result in also a linear Br$\phi$nsted-type plot with ${\beta}_{lg}$ = –0.62, a typical ${\beta}_{lg}$ value for a concerted mechanism. The Hammett plots correlated with ${\sigma}^o\;and\;{\sigma}^-$ constants show many scattered points for reactions of 1a-h with 4-chlorophenoxide. In contrast, the corresponding Yukawa-Tsuno plot exhibits an excellent linear correlation with $\rho_Y$ = 2.26 and r = 0.53, indicating that expulsion of the leaving group occurs at the rate-determining step (RDS) either in a concerted mechanism or in a stepwise pathway. However, a stepwise mechanism with leaving group departure being the RDS is excluded since the leaving Y-substituted phenoxide is less basic and a better nucleofuge than the incoming 4-ClPh$O^-$. Thus, the reactions have been concluded to proceed through a concerted mechanism, in which bond formation between the nucleophile and electrophilic center is more advanced than expulsion of the leaving group in the transition state on the basis of the magnitude of ${\beta}_{nuc}\;and\;{\beta}_{lg}$ values.