• School Mathematics
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• v.16 no.3
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• pp.491-502
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• 2014

This paper analyzed pre-service teachers' justification of $0.99{\cdots}$=1 from their disproof of $0.99{\cdots}$ <1. Some pre-service teachers thought of the difference between $0.99{\cdots}$ and 1 as an infinitesimal. On the contrary, the others claimed that the difference between $0.99{\cdots}$ and 1 was zero as the standard real, but were content with their intuitive justifications. The pre-service teachers' limitation revealed in the process of disproving $0.99{\cdots}$ <1 can be closely related to the orthodox view: the standard real number system is the only absolutely true number system. The existence of nonstandard real number system in which $0.99{\cdots}$ is less than 1, shows that the plain question of whether or not $0.99{\cdots}$ equals 1, cannot be properly answered by common explanations of textbooks or teachers' intuitive justification.

• Bulletin of the Korean Chemical Society
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• v.14 no.6
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• pp.713-717
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• 1993

The crystal structure of the potassium salt of penicillin V has been studied by the X-ray crystallographic methods. Crystal data are as follows; potassium 3,3-dimethyl-7-oxo-6-phenoxyacetoamido-4-thia-1- azabicyclo[3.2.0]-heptane-2${\alpha}$-carboxylate, $K^+{\cdot}C_{16}H_{18}N_2O_5S^-$, $M_r$= 388.5, triclinic, Pl, a= 9.371 (1), b= 12.497 (2), c= 15.313 (2) ${\AA},\;{\alpha}= 93.74\;(2),\;{\beta}=99.32\;(1),\;{\gamma}=90.17\;(1)^{\circ},\;V=1765.7\;(2)\;{\AA}^3$, Z=4, $D_m=1.461\;gcm^{-1},\;{\lambda}(Cu\;K{\alpha})=1.5418\;{\AA},\;{\mu}=40.1\;cm^{-1}$, F(000)=808, T=296 K. The structure was solved by the heavy atom and difference Fourier methods with intensity data measured on an automated four-circle diffractometer. The structure was refined by the full-matrix least-squares method to a final R= 0.081 for 3563 observed $[I_0{\geq}2{\sigam}(I_0)]$ reflections. The four independent molecules assume different overall conformations with systematically different orientations of the phenyl groups although the penam moieties have the same closed conformations. There are intramolecular hydrogen bonds between the exocyclic amide nitrogen and phenoxy oxygen atoms. The penam moiety is conformationally very restricted although the carboxyl and exocyclic amide groups apparently have certain rotational degrees of freedom but the phenyl group is flexible about the ether bond despite the presence of the intramolecular N-H${\cdots}$O hydrogen bond. There are complicated pseudo symmetric relationships in the crystal lattice. The penam moieties are related by pseudo 20.5 screw axes and the phenyl groups by pseudo centers of symmetry. The potassium ions, related by both pseudo symmetries, form an infinite zigzag planar chain parallel to the b axis. Each potassium ion is coordinated to seven oxygen atoms in a severely distorted pentagonal bipyramid configuration, forming the infinite hydrophilic channels which in turn form the molecular stacks. Between these stacks, there are only lipophilic interactions involving the phenyl groups.

• Korean Journal of Fisheries and Aquatic Sciences
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• v.26 no.4
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• pp.392-400
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• 1993

The present study was accomplished to understand the occurrence and time serial variations of oxygen-deficient watermass in wonmun Bay from 1989 to 1991. From the results of this work, oxygen-deficient water was periodically observed in bottom layer and in Summer in this region. The stratification of water began to develop in Spring and the strong formation of oxygen-deficient water showed in Summer but it gradually disappeared in Autumn. It seems that the occurring and continuing period of very low dissolved oxygen watermass is intensively controlled by meteorological conditions and vortical stratification of water column. On formation of oxygen-deficient watermass, high nutrient concentrations in the bottom layer appear to be due to release of nutrients from bottom sediment. The dissolved inorganic phosphate versus AOU shows two linear curves according to the level of AOU. In the relationships between phosphate and AOU, the gradient of a linear curve over approximately 5mg-AOU/l was significantly large, presumably indicating dissolution of phosphate from the sediment.

• Journal of Korean society of Dental Hygiene
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• v.1 no.2
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• pp.181-192
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• 2001

The purpose of this was to evaluate the level of knowledge about Hepatitis B and AIDS among dental hygiene students at six dental hygiene educational programs in nationwide, compare the findings to those of Song's study. 1703 dental hygiene students surveyed by mail and answered a questionnaire, using the questionnaire used developed by DiClemente el al., on Hepatitis B vaccination, antibody production, experience of unintentional needle stick injuries, experience of surgical operation and blood transfusion, personal risk factors for HBV and HIV, management of HBV and HIV postexposure management et al. The data indicated that dental hygiene students (79.0%) in this study had more HIV vaccination than dental hygiene(74.3%) in Song's study. As for recognition of antibody production after Hepatitis B vaccination, only 34.6% of respondents answered they knew having antibody production and 95% of respondents knew not having antibody production. Over one-half of the respondents (55%) answered they didn't even recognize having antibody production. 52.3 percent of dental hygiene students experienced unintentional needle stick injuries. The findings on the knowledge about Hepatitis B and AIDS were that dental hygienists (76.5 points) received higher mean score than those of dental hygiene students (71.0 points) and that the distribution of right answer rate also showed wider range in dental hygiene students (27.7~97.5%) than those of dental hygienist (41.2~99.5%). There were no statistical differences among dental hygiene education programs. Finding of this study support that the curriculum of dental hygiene program should include instruction on sources and methods of transmission of infectious diseases, risk of virus transmission in the workplace and principles of infection control. Furthermore, infection-control practices should be utilized routinely and their application to dental personnel, management of HBV and HIV postexposure management. Furthermore, for preventing the further spread of infectious diseases (HBV, HIV and AIDS${\cdots}$) caused by bloodborne viruses, imposing an obligation rather than recommendation on Hepatitis B vaccination to all dental personnel and routinely utilizing infection-control guidelines for all dental patients in dental practices (include dental educational programs) should be accomplished by coordination the government agency.