• Journal for History of Mathematics
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• v.23 no.3
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• pp.57-73
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• 2010

Transcendental numbers are important in the history of mathematics because their study provided that circle squaring, one of the geometric problems of antiquity that had baffled mathematicians for more than 2000 years was insoluble. Liouville established in 1844 that transcendental numbers exist. In 1874, Cantor published his first proof of the existence of transcendentals in article [10]. Louville's theorem basically can be used to prove the existence of Transcendental number as well as produce a class of transcendental numbers. The number e was proved to be transcendental by Hermite in 1873, and $\pi$ by Lindemann in 1882. In 1934, Gelfond published a complete solution to the entire seventh problem of Hilbert. Within six weeks, Schneider found another independent solution. In 1966, A. Baker established the generalization of the Gelfond-Schneider theorem. He proved that any non-vanishing linear combination of logarithms of algebraic numbers with algebraic coefficients is transcendental. This study aims to examine the concept and development of transcendental numbers and to present students with its open problems promoting a research on it any further.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.175-184
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• 1998

The purpose of this study is that the Van Hiele theory can be applied to even vocational high school students. Through the comparison of Van Hiele level distribution of middle school students and high school students, it is that the aims of this study is to study the geomatric level of vocational high school students and to analize them, even so it can be to find for them the effective method of Geomatric education The subject of study is three kinds of vocational high school - commercial high school, industrial high school, fisheries high school - boys (240), girls (120) in Boryeong city, Chungchong Nam Do. We referred to Kim Mi-cheong′ thesis(1994) and Cheong Yean-sok′s thesis(1992) and compared my result with them. The method and the process of the study were based on the th method of CDASSG project. And we used Van Hiele Level Test as an instrument of measurement. We got the following conclusion as the result of the study 1. The 86％ of the subject of the study was applied to the theory of Van Hiele - "Any students can reach level n just through level n-1." Even so the propriety of the theory proved to be from this study again. 2. The 88% of the subject of the study is applicable to below level 2. So if the proof is introduced to them in the class, it was very difficult for them to understand it. 3. The geometric level of vocational high school students is the same as the second grade of middle school. But we think to be desirable that a basic concept puts first in importance through recomposed teaching materials, because 68% of the students is seldom changed at level 1.

• Journal of Educational Research in Mathematics
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• v.17 no.3
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• pp.253-270
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• 2007

by A.C. Clairaut was written based on the historico-genetic principle such as his . In this paper, by analyzing his we can induce six principles that Clairaut adopted to teach algebra: necessity and curiosity as a motive of studying algebra, harmony of discovery and proof, complementarity of generalization and specialization, connection of knowledge to be learned with already known facts, semantic approaches to procedural knowledge of mathematics, reversible approach. These can be considered as strategies for teaching algebra accorded with beginner's mind. Some of them correspond with characteristics of , but the others are unique in the domain of algebra. And by comparing Clairaut's approaches with school algebra, we discuss about some mathematical subjects: setting equations in relation to problem situations, operations and signs of letters, rule of signs in multiplication, solving quadratic equations, and general relationship between roots and coefficients of equations.

• School Mathematics
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• v.15 no.4
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• pp.995-1013
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• 2013

The purpose of this paper was to investigate mathematics teachers' mathematical content knowledge about quadratic curves. Three components of mathematical knowledge are needed for teaching: (i) knowing school mathematics, (ii) knowing process of school mathematics, (iii) making connections between school mathematics and advanced mathematics. 24 mathematics teachers were asked to perform 10 questions based on mathematics curriculum. The results showed that mathematics teachers had some difficulties in conic section definitions and eccentricity definitions of ellipse and hyperbola. And they also got difficulty in Dandellin sphere proof of the equivalence of conic section definitions and quadratic curve definitions. Especially, no one answered correctly to the question about the definition of eccentricity. The ratio of correct answer for the question about constructing tangent lines of quadratic curves is less than that for the question about the applications of the properties of tangent lines. These findings suggests that it is needed that to provide plenty of opportunities to learn mathematical content knowledge in teacher education programs.

• Journal of Arbitration Studies
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• v.18 no.3
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• pp.117-138
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• 2008

This study lies on building the International Standardization of China Arbitration System for improving a relationship of mutual trust and the safety trade between China and other worldwide countries, especially, South Korea as their one of the biggest trading partners through the comparative analysis of China and UNCITRAL Arbitration Law. In this analysis, the differences from China and UNCITRAL in arbitration law are like belows ; lack of arbitrator's international mind, the limitation of private property right, prohibition of Ad. hoc arbitration, arbitrator's biased nationalism, localism, and their short specialties. a deficiency of the objectiveness for arbitrator's election, a judgement rejection of claimants by using nonattendance and walkout, impossibility of prior and temporary property custody for execution of arbitration award. etc. For the improvement of the International Standardization of China Arbitration, this paper propose as follows: 1) Extension of private property right, reorganization of tax system, realization of open competition, exclusion of 'Sinocentrism', globalization of arbitration system 2) The abolition of old fashioned bureaucracy with approval for ad.hoc arbitration 3) An education for arbitrator's internationalization, specialty, and to promote legal knowledge 4) A settlement of the third country arbitrators' selection for reflecting interested party's decision by the court in a selection system of arbitration committee. 5) Institutionalization of arbitration judgment that prevent for claimant's avoidance by using a withdrawal and an intentional absent 6) A permission of the right of claimant's court custody directly before the begging of arbitration request for the prevention for destruction of evidence and property concealment 7) Grant of the arbitration tribunal's interim measures of protection for private property preservation to the third party, proof security, prevention from the loss that selling the corruptible goods 8) Improvement of arbitration's efficiency from the exclusion of the obstacles that are forgery, concealed evidence, and arbitrator's bribe taking Lastly, I hope that this study will serve to promote friendly economic relationship between China and South Korea and strive for international equilibrium through the achievement of China Arbitration's International Standardization. I will finish this paper with a firm belief that this will lead to more advanced studies.

• Journal of the Korean Society of Fashion and Beauty
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• v.3 no.3 s.3
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• pp.11-23
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• 2005

This never-ending changes and everlasting challenges under the industrial circumstances induce us to compete against survival or selection. We accordingly need to take steps in order to survive excessive competitions by the various differentiated strategies in Beauty and Cosmetology markets. The purpose of this study aims for making the best use of this actual proof which enables the effective customer management and managerial things of beauty shop through theoretical contemplation in all aspects of managerial beauty shop and the reason why the customers give the second visit(revisit) or choosing the shop again(coming again) by demographic characteristics. The method of this study was surveying 200 re-visited customers at the same beauty shop in GwangJu Metropolitan city for a whole year by questionnaire regarding the correlation between revisiting of the same beauty shop and demographic characteristics. After surveying, we coded these questionnaires finding out its distribution(range) by SPSS statistical package with Frequency Analysis in response to demographic characteristics and also performed ANOVA and Regression. In brief, there is big difference between men and women which explains the second visiting(revisit) originates in technical fact; hair protection. Most women have paid great attention to their hair protection while men mostly have ignored. However, men attached themselves to the hairdressers' appearances and the distance from their house to the beauty shop which did not mean a lot to women. Beside s, there were many differentiation in accordance with marital status, age, education and their business. With this study, we easily generalize the fact that customers revisit a beauty shop not because of beauty shop facilities but because of human interests.?Beautician's service has certain specialties which show the interaction between customer and beautician in the field. Now we can come to this conclusion that we need to endeavor to develop the service spirit and employees' welfare. Their attitudes towards job satisfaction go well with customer ' s satisfaction in this way.

• Journal of Digital Convergence
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• v.12 no.2
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• pp.431-437
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• 2014

The purpose of this study was to perform an actual proof analysis on the structural effects of recognition of radiation risks on management and benefits. Data was collected using self-administered questionnaires targeting students having majors related to radiation from 1 April to 31 May in 2013 of one four-year-course university located in Chungbuk, Korea. As a result of the analysis, it turned out that as recognition of radiation risks is higher, recognition of radiation management is higher, which has a significant effect on benefits. It was indicated that although recognition of radiation risks does not directly influence radiation benefits, positive recognition on radiation benefits could increase through the parameter, radiation management. In order to improve smooth use of radiation and increase benefits, education that emphasizes the need of proper radiation management should be performed.

• Journal of Advanced Navigation Technology
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• v.14 no.2
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• pp.191-197
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• 2010

Many does an application and application but the image analysis of face detection considerably is difficult. In order for with effect of the illumination which is irregular in the present paper America the illumination to range evenly in the face which is detected, detects a face territory, Complemented the result which detects only the front face of existing. With LAB color illumination revisions compared in Adaboost face detection of existing and 32% was visible the face detection result which improves. Bought two images which are input and executed Glassfire label rings. Compared Area critical price and became the area of above critical value and revised from RGB smooth anger and LAB images with LCFD system algorithm. The operational conversion image which is extracted like this executed a face territory detection in the object. In order to extract the feature which is necessary to a face detection used AdaBoost algorithms. The face territory remote login with the face territory which tilts in the present paper, until Multi-view face territory detections was possible. Also relationship without high detection rate seems in direction of illumination, With only the public PC application is possible was given proof user authentication field etc.

• Journal of Korean Society of Transportation
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• v.27 no.4
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• pp.41-53
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• 2009

For 5 years and 6 months, ranging from January 2003 to June 2008, SPSS 12.0 Statistical Program was used to analyze the overall analysis, analysis of center line encroachment, analysis of signal violations, analysis of drinking while intoxicated, analysis of driving without license, analysis of two-wheel vehicle, analysis of pedestrian, analysis of safety equipment, analysis of traffic publicity or education and automobile registration accounts, and casualty of traffic accidents that are determined as having statistical implication based on the statistics available from the policy to take a look at traffic accident in the Daejeon area, and there were some meaningful results. With the proof that there is a certain level of ratio for the correlations between traffic control and traffic accident that the effect of traffic control has shown with certain time interval. The relationship of traffic control and the casualty of traffic accident has very low coefficient of correlations that it is not statistically noticeable that traffic control of the police has almost no effect in preventing traffic accident. This is a display of the fact that the conversion of direction for traffic safety measure undertaken to this point is rather urgent that there is a dire need of establishing the effective alternatives.

• Fire Science and Engineering
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• v.22 no.1
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• pp.54-60
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• 2008

The occurrence of fires in heavily populated multiplex buildings is a serious concern. It causes a great threat to many people and a serious social problem. Whenever this kind of fire happens, the authorities are busy preparing partial countermeasures to control the crisis situations. Luckily, the government has enforced a special law regarding safety supervision of majority-used buildings to prepare the basic countermeasures for the buildings' safety. Recently, the multiplex buildings which have multi type compounds have increased in size by getting bigger and bigger. As there are many people who would need to escape and the complicated structures like mazes in buildings of this type, it is not only difficult to prevent a fire but also easy to cause a large loss of lives. For a better fire safety supervision of the buildings, there needs to be passers and owners' good sense of safety, fire proof of the buildings and education of the fire authorities.