• Journal for History of Mathematics
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• v.25 no.4
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• pp.53-67
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• 2012

Today, it is necessary to calculate orbits with high accuracy in space flight. The key words of Poincar$\acute{e}$ in celestial mechanics are periodic solutions, invariant integrals, asymptotic solutions, characteristic exponents and the non existence of new single-valued integrals. Poincar$\acute{e}$ define an invariant integral of the system as the form which maintains a constant value at all time $t$, where the integration is taken over the arc of a curve and $Y_i$ are some functions of $x$, and extend 2 dimension and 3 dimension. Eigenvalues are classified as the form of trajectories, as corresponding to nodes, foci, saddle points and center. In periodic solutions, the stability of periodic solutions is dependent on the properties of their characteristic exponents. Poincar$\acute{e}$ called bifurcation that is the possibility of existence of chaotic orbit in planetary motion. Existence of near exceptional trajectories as Hadamard's accounts, says that there are probabilistic orbits. In this context we study the eigenvalue problem in early 20th century in three body problem by analyzing the works of Darwin, Bruns, Gyld$\acute{e}$n, Sundman, Hill, Lyapunov, Birkhoff, Painlev$\acute{e}$ and Hadamard.

• The Korean Journal of Nuclear Medicine Technology
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• v.14 no.2
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• pp.45-49
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• 2010

Purpose: Several radiopharmaceuticals were used for cisternography. But recently, due to more short acquisition time, high resolution than other radiopharmaceuticals like In-111 DTPA, we were using Tc-99m DTPA in cisternography. Using of Tc-99m DTPA for intrathecal, was not officially recognised by the FDA. And there are matters of aseptic meningitis, muscular tetany, seizures by inappropriate radiopharmaceuticals handling. So, it is necessary to prevent adverse reactions while handling the radiopharmaceuticals using in cisternography. Therefore, this study aims to evaluation of usefulness and procedures for safety of radiopharmaceuticals in cisternography. Materials and Methods: Subjects were 12radioactive tracer vials using in cisternography in 2008 Dec. 16 - 2009 Dec. 30. (1) Radioactive tracer Vial test - We were measured NaPertechnetate radiation dose and volume, normal saline volume for dilution, source volume and dose activity for patient injection. And then, calculated mass of pure DTPA. (2) Bacterial endotoxin test - We performed pyrogen test using by negative/positive control vials which was added normal saline 0.2 mL and added normal saline 0.1 mL, Tc-99m DTPA 0.1 mL in test control vial. And then, reacted by digital hot plate in $37.5^{\circ}C$ for 1 hour and compared of gel-clot in each control vials. (3) Compliance safety procedure - We were checked safety issues and wrote out a safety procedure exam sheet. Results: (1) Radioactive tracer Vial test - Mass of DTPA per dose for patient injection (mg) was 0.88 (mg) on average, and Mass of DTPA per volume for patient injection (mg) was 0.74 (mg) on average. (2) Bacterial endotoxin test - All control test vials showed negative reactions. (3) Compliance safety procedure - We were checked safety issues and wrote out a safety exam sheet in all the exams. So, there were no adverse reactions. Conclusion: We could examine easier to safety tests using by Techscan - DTPA (Mallinckrodt): CaNa3. Each test results were passed the safety tests and there are no adverse reactions. The use of Tc-99m DTPA for cisternography, always has been become an issue. Since it has occur adverse reaction while examine the cisternography using by Tc-99m DTPA, it needs to set up the 'Standard Operating procedures'.

• Korean Journal of Materials Research
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• v.10 no.3
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• pp.233-240
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• 2000

In order to fabricate dense cordierite ceramics without sintering aid, thermal behavior of Mg-Al-Si compounds during sintering was investigated. The dispersibility of cordierite suspension in aqueous media was measured by ESA(electrokinetic sonic amplitude). To prevent aggregation and insufficient dispersion of the cordierite sol, the pH of the suspension was controlled to 1.03 and 8.30 by adding $2N\;HNO_3$ and $2N\;NH_4OH$, respectively. Magnesium-aluminum-silicate complex gel coexisted in the specimen which has been gelled at $150^{\circ}C$ fir 12 hours, however several metastable phase such as ${\mu}-cordierite(Mg_2Al_4Si_5O_{18}),\;spine(MgAl_2O_4)\;and\;mullite(Al_6Si_2O_{13})$ existed below $1300^{\circ}C$ Nucleation rates of the two suspension were similar, but densification of the gel was sensitive to the pH of the sol. Densification of the sol with the pH of 8.3 was more pronounced than that of the sol with pH of 1.63.

• Korean Journal of Social Welfare
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• v.35
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• pp.345-374
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• 1998

The purpose of this study is to contribute the improvement of national welfare by presenting of pension welfare business of Korea and Japan. The reason why I take the management of Japan's pension accumulation as the object of comparative study is that the history of pension system of Japan is relatively longer than that of Korea. First of all, National Pension Fund comes into use for public sector, financial sector, and welfare sector, The scale of pension management for welfare sector is 50 small. Therefore, the study for welfare business investment reflecting the intentions of pension entries and pensioners is needs of times. This study defines the concept of welfare investment business and prospects welfare investment business of the future on the basis of Japanese experiences, and then suggests the direction of efficient propulsion of welfare investment business to the reasonable decision-makers. Especially this study redefine the concept of welfare investment business on the basis of pension entry's social benefits which are composed of pension entry's gains and pensioner's gain. Of course, welfare investment business has to be presupposed the stability of pension system and the continuous contribution to national economy. Thus, in order to efficiently perform welfare business, the policy-making for national welfare improvement has to be established after the good of business is set up like the results of this study.