• Title/Summary/Keyword: strong binary relation

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STRONG INSERTION OF A CONTRA-BAIRE-1 (BAIRE-.5) FUNCTION BETWEEN TWO COMPARABLE REAL-VALUED FUNCTIONS

  • Mirmiran, Majid;Naderi, Binesh
    • The Pure and Applied Mathematics
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    • v.26 no.1
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    • pp.1-12
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    • 2019
  • Necessary and sufficient conditions in terms of lower cut sets are given for the strong insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that $F_{\sigma}-kernel$ of sets are $F_{\sigma}-sets$.

Viscometric Studies of Molecular Interactions in Binary Mixtures of Formamide with Alkanol at 298.15 and 308.15 K

  • Gahlyan, Suman;Verma, Sweety;Rani, Manju;Maken, Sanjeev
    • Korean Chemical Engineering Research
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    • v.55 no.4
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    • pp.520-529
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    • 2017
  • Viscosity data were measured at 298.15 K and 308.15 K for formamide + 1-propanol, 2-propanol, 1-butanol, 2-methyl-1-propanol or 2-methyl-2-propanol mixtures. For an equimolar mixture, deviation in viscosity follows the sequence: 2-methyl-2-propanol >2-methyl-1-propanol>1-butanol>2-propanol>1-propanol. The viscosity data were further analyzed in terms of graph theory. Free energy of activation was also calculated from experimental viscosity data along with previously reported excess volume data. The deviation in viscosity and free energy of activation were fitted to Redlich-Kister polynomial equation. The viscosity data were also correlated by correlations like Grunberg-Nissan, Tamura-Kurata, HindMcLaughlin-Ubbelohde, and Katti-Chaudhari relation. Various adjustable parameters, $G_{12}$, $T_{12}$, $H_{12}$, and $W_{vis}/RT$, of various correlations were used to predict viscosity deviation of binary mixtures. Positive value of $G_{12}$ indicates strong interaction in the studied systems. Grunberg-Nissan relation has lowest deviation among the four correlations for formamide + 1-propanol or 2-propanol mixtures; and for mixtures of formamide with 1-butanol or 2-methyl-1-propanol, TamuraKurata has lowest deviation. Grunberg-Nissan gives lowest deviation for formamide + 2-methyl-2-propanol mixtures.

Epitaxial Growth of Bi2Se3 on a Metal Substrate

  • Jeon, Jeong-Heum;Jang, Won-Jun;Yun, Jong-Geon;Gang, Se-Jong
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.02a
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    • pp.306-306
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    • 2011
  • Three dimensional(3D) topological insulators(TIs) of Bi binary alloys are characterized by a bulk energy gap with strong spin-orbit coupling and metallic surface states protected by time-reversal symmetry. It was reported that film forms of such materials were advantageous over bulk forms due to less defect density and better crystallinity. So far, the films have been prepared on several substrates including semiconductors and graphene. But, there were no studies on metal substrates. For electronic transport experiments and device applications, it is necessary to know epitaxial relation between TIs and metal electrodes. In this study, Atomically flat films of Bi2Se3 were grown on a Au(111) metal substrate by in-situ molecular beam epitaxy. Using home-built scanning tunneling microscope, we observed hexagonal atomic structures which corresponded to the outmost selenium atomic layer of Bi2Se3. Triangular-shaped defects known as Selenium vacancy were also found.

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Oral Health Behaviors according to Socioeconomic Characteristic in Korean Adolescents (청소년 사회경제적 특성별 구강보건행태)

  • Jun, Mee-Jin
    • Journal of dental hygiene science
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    • v.10 no.6
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    • pp.417-424
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    • 2010
  • The aim of this study was to assess the relevancy to oral health behaviors and socioeconomic characteristic among Korean adolescents. From '2007 Youth Behavior Risk Factor Surveillance 73,836 subjects database' which provided from 'Korean Centers for Disease Control and Prevention'. We conducted statistically analyzed binary logistic regression to determine the relation between dental health behavior and socioeconomic characteristic. Compared to adolescents in high-economic group, adolescents in medium or low-economic group had more likely poor dental health behaviors(p<0.05, p<0.01, p<0.001). In particular, there were significantly difference in toothbrushing the frequency of visiting a dental clinic and had received dental health education experiences. Conclusions, Because of the strong relation with demographic socioeconomic characteristic, must consider it when we improve of oral health by behavioral change. These results the need for the further development spread of oral health programs.