• Title/Summary/Keyword: the development of proof

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The mathematical proofs of refraction law and its didactical significances (굴절의 법칙의 수학적 증명과 그 교수학적 의의)

  • Kang, Heung-Kyu
    • Journal for History of Mathematics
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    • v.19 no.1
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    • pp.65-78
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    • 2006
  • The law of refraction, which is called Snell's law in physics, has a significant meaning in mathematics history. After Snell empirically discovered the refraction law $\frac{v_1}{sin{\theta}_1}=\frac{v_2}{sin{\theta}_2$ through countless observations, many mathematicians endeavored to deduce it from the least time principle, and the need to surmount these difficulties was one of the driving forces behind the early development of calculus by Leibniz. Fermat solved it far advance of others by inventing a method that eventually led to the differential calculus. Historically, mathematics has developed in close connection with physics. Physics needs mathematics as an auxiliary discipline, but physics can also belong to the lived-through reality from which mathematics is provided with subject matters and suggestions. The refraction law is a suggestive example of interrelations between mathematical and physical theories. Freudenthal said that a purpose of mathematics education is to learn how to apply mathematics as well as to learn ready-made mathematics. I think that the refraction law could be a relevant content for this purpose. It is pedagogically sound to start in high school with a quasi-empirical approach to refraction. In college, mathematics and physics majors can study diverse mathematical proof including Fermat's original method in the context of discussing the phenomenon of refraction of light. This would be a ideal environment for such pursuit.

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Normal Pregnancy of Mouse Embryos Transferred after Assisted Hatching by a 1.48$\mu\textrm{m}$ Diode Laser (1.48$\mu\textrm{m}$ Diode Laser로 보조 부화처리 후 이식된 생쥐배의 정상임신에 관한 연구)

  • 김은영;이봉경;남화경;이금실;윤산현;박세필;정길생;임진호
    • Korean Journal of Animal Reproduction
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    • v.22 no.3
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    • pp.287-292
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    • 1998
  • The objective of this study was to test whether ZP drilling using a 1.48$\mu$m diode laser beam on mouse IVF embryos becomes effective the hatching and normal in vivo development, as a preliminary test for obtaining the additional proof that the 1.48$\mu$m diode laser could be used safely for human applications. The results obtained in this experiment were as follows: when the hatched rates of mouse embryos by laser ZP drilling according to the embryonic stage were examined until 72 hr (in case of blast tocyst: day 4 after IVF) or 120 hr (in case of 4-cell: day 2 after IVF) after treatment, the d data of laser drilled blastocysts (81.8%) was significantly higher than those of control (hatching blastocyst: day 4 after IVF) (54.2%) and laser drilled 4-cell embryos (45.5%) (p<0.05). When the effect of laser drilling on implantation rates following embryo transfer in day 3 synchronized pseudopregnant recipients was examined, the l laser drilled group (48.7%) was slightly higher than that of control group (43.6%). In addition, when the several pregnant mice delivered in two groups were analysed their chromosomal normality and tested reproductive ability, all p pups were presented normal chromosomal number (n=40) and showed normal growth and reproductive ability. Therefore, these results dem-onstrated that ZP drilling using a 1.48$\mu$m diode l laser can increase the embryo hatching and ind duce the normal pregnancy of mouse embryos.

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Creative City and Creative Class: Conceptual Issues and Critiques (창조도시와 창조계급: 개념적 논제들과 비판)

  • Choi, Byung-Doo
    • Journal of the Korean association of regional geographers
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    • v.20 no.1
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    • pp.49-69
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    • 2014
  • The theory of creative city can be seen as one that reflects a relationship between recent change of economic environment and socio-spatial reconstruction in the so-called 'cultural turn' to deindustrialization. This paper considers approaching methods to knowledge-based economy or cultural economy as a context of development of theory of creative city, and suggests types of conceptualization of creative city. Then it reviews creative perspectives which can be found in recent domestic and oversea research trends on creative city, especially relating its nature with neoliberalism. Finally this paper discusses critically the concept of creative class as a social constitution of creativity or creative economy, and that of creative city as its spatial constitution. The concept of creative class can be criticized in terms of ambiguity of the concept of class, class-biased and economy-privileged idea, market valorization of culture, individualization against community, normalization of flexible labor market, and uncertainty of economic success of creative city. The concept of creative city can be criticized in terms of limitation of interests to city, ignorance of national and global dimensions, decontextual normative vision, legitimation of neoliberal city, lack of proof of causality between creative class and economic success, polarization of within and between cities.

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Analysis of Spatial Cognition of Visitors to Natural Environment-based Tourism.Resort Facilities - A Case Study of NAMI Island - (자연환경 기반형 관광.휴양목적지 시설물에 대한 방문객 공간인지도 분석 - 남이섬 관광지 사례를 중심으로 -)

  • Choi, Young-Seok
    • Korean Journal of Environment and Ecology
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    • v.27 no.3
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    • pp.396-404
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    • 2013
  • The purpose of this study is to propose the method to improve management aspect and facilities plan to enhance spatial cognition of visitors through visitors' analysis of spatial cognition regarding tourism destination facilities. The research model was established by factors affecting spatial cognition such as facilities characteristics and visitor characteristics as well as spatial cognition of visitors' facilities to achieve objectives of research, and actual proof analysis was made to visitors to Nami Island tourism destination based of this. As a result of analysis, it was proved that visitor characteristics including their gender and age, and tour map use as well as facilities characteristics of facilities type, location, etc showed a statistically significant difference in visitors' spatial cognition. In addition, it is deemed as a result of analysis that Nami Island requires re-organization of symbolic features and attractiveness of food and beverage facility, while needing additional installment and rearrangement of information facilities and related facilities. The result of this research suggests that close analysis and application of factors affect spatial cognition such as facilities and visitors' characteristics to plan and manage the tourism destination facilities effectively. Moreover, visitors' spatial cognition is related to spatial characteristics of tourism destination, therefore it is analyzed that the uniqueness of facilities played an important role in improving female's spatial cognition. In particular, the result of this study is meaningful in that in light of plan and management for tourism destination facilities, the function to provide tourism destination plays a major role in improving visitors' spatial cognition regardless of complexity of spatial structure of tourism destination.

Analysis of High School Students' Viewpoints based on Science History about Motion of Objects (과학사에 기초한 물체의 운동에 대한 고등학생들의 관점 분석)

  • Paik, Seong-Hey;Jo, Young-Jin
    • Journal of The Korean Association For Science Education
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    • v.26 no.3
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    • pp.317-329
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    • 2006
  • In this research, a questionnaire was developed to investigate high school students' viewpoints, originating from science history, on 'motion of on object', the subjects were seventy- five 10th grade students and sixty-five 11th grade students. Results found that the highest percentage among the types of 10th grade students' thoughts was related to the Middle Ages 'Impetus' viewpoints. Percentages of 11th grade students' thoughts were highest for Middle Ages and Newton views. These results provided proof that the development of student thoughts' based on science history' are consistent with school year. Furthermore, student thought regarding 'object motion' under the conditions of no force, vacuum, or air under a weightless stage were related to progressive viewpoints on science history. However, the percentage of thoughts related to earlier viewpoints were considerable. Student thoughts on parabolic motion, circle motion, and conservation amount of motion were found to be highly significant in similarity to the viewpoints of Galilei, Descartes, and Huygens; view cultivated before Newton. Consequently, this study determined that educational efficiency could be raised by providing historically more progressive views to cope with conflictory student thoughts-thoughts related to past views in science history.

A Study on the Application of Cross-Certification Technology for the Automatic Authentication of Charging Users in ISO 15118 Standard (ISO 15118 충전 사용자 자동인증을 위한 교차인증서 기술의 적용에 관한 연구)

  • Lee, Sujeong;Shin, Minho;Jang, Hyuk-soo
    • The Journal of Society for e-Business Studies
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    • v.25 no.2
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    • pp.1-14
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    • 2020
  • ISO 15118 is an international standard that defines communication between electric vehicles and electric vehicle chargers. Plug & Charge (PnC) was also defined as a technology to automatically authenticate users when using charging services. PnC indicates automatic authentication technology where all processes such as electric vehicle user authentication, charging and billing are automatically processed. According to the standard, certificates for chargers and CPSs (Certificate Provisioning Services) should be under the V2G (Vehicle to Grid) Root certificate. In Korea, the utility company operates its own PKI (Public Key Infrastructure), making it difficult to provide chargers under the V2G Root Certificate. Therefore, a method that can be authenticated is necessary even when you have different Root Certificates. This paper proposes to apply cross-certificate technology to PnC authentication. Automatic authentication of Cross Certification is to issue a cross-certificate of the Root CA and include it in the certificate chain to proceed with automatic authentication, even if you have different Root certificates. Applying cross-certificate technology enables verification of certificates under other Root certificates. In this paper, the PnC automatic authentication and cross certificate automatic authentication is implemented, so as to proceed with proof of concept proving that both methods are available. Define development requirements, certificate profiles, and user authentication sequences, and implement and execute them accordingly. This experiment confirms that two automatic authentication are practicable, especially the scalability of automatic authentication using cross-certificate PnC.

A Study on the Minimum Ignition Limit Voltages for LPG-Air Mixtures by Discharge Sparks in Radio-frequency Circuits (고주파 전기회로의 개폐불꽃에 의한 LPG-공기 혼합가스의 최소점화한계전압에 관한 연구)

  • Lee Chun-ha;Kim Jae-ouk;Jee Sung-ouk;Song Hun-jik;Lee Gang-sik;Lee Dong-in
    • Journal of the Korean Institute of Gas
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    • v.2 no.4
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    • pp.79-84
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    • 1998
  • This paper describes the minimum ignition limit voltages for LPG-Air 5.25[Vol$\%$] mixture gas by discharge sparks in radio-frequency limits using RF power supply and IEC type ignition spark apparatus. As a result, the minimum ignition limit voltages is increased in proportional to the rate of increasing of frequency in LPG-Air mixture gas. Especially, the minimum ignition limit voltages increase remarkably between 3[KHz] and 10[KHz]. It is considered that ignition is caused by one discharge until 3[KHz] and, beyond 3[KHz] ignitiof is caused by more than two discharges. The reason is analyzed that energy loss is caused by existing pause interval between discharges. It is considered that the result can be used for not only data for researches and development of intrinsically safe explosion-proof RF machines which are applied tole-equipments and detectors used in dangerous areas but also for datum for its equipment tests.

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A Study on Urban Noise Visualization using 3D-GIS (3차원 GIS를 활용한 도시소음 시각화에 관한 연구)

  • Ryu, Keun-Won;Kim, Geun-Han;Kim, Hye-Young;Jun, Chul-Min
    • Journal of Korea Spatial Information System Society
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    • v.9 no.3
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    • pp.17-24
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    • 2007
  • The noise problem is one of the major problems associated with large cities and is considered important factor not only in maintenance but also in development of cities. Accordingly, the noise map is being increasingly used in city planning and design. However, the existing two-dimensional noise maps only show regional, planar distribution of noise. This study presented a method to build a data model for analyzing and visualizing noise levels at fine scale considering the vertical distribution of noise in a building. By expanding the 2D topology concept used in conventional GIS to 3D, it suggested a 3D GIS data model that makes 3D spatial queries, analyses and visualization possible and applied the proposed approach to building a 3D noise information system. By building and testing the system, the study showed different functionalities including 3D spatial queries and 3D visualization of noise levels varying temporally or according as the height of sound-proof walls. In each case, the population exposed to noise was quantitatively computed to illustrate the potential in the areas of city planning and design.

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A Study on the Popularization of Traditional Korean Art through the Case Study of Convergence of K-POP and Traditional Art - Focusing on the idolization of BTS - (K-POP과 전통예술의 융합 사례분석을 통한 한국전통예술의 대중화 방안 연구 - BTS의 IDOL을 중심으로 -)

  • Cho, Young-In
    • Journal of Korea Entertainment Industry Association
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    • v.13 no.2
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    • pp.27-36
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    • 2019
  • Today, the Korean wave headed by K-pop is newly named as 'New Korean Wave' in that it has been extended to United States, Europe and Russia. K-POP, the main player of the new Korean wave, has been successful in SNS marketing channels. Furthermore, the content of K-pop has attracted the attention of the global audience. The media and public attention on the Korean Wave is meaningful because it is not merely a cultural export. It also makes Korean people feel national pride, seeing the mental influence of its culture on other regions. Moreover, the development of the cultural industry in our society, which is different from industrial or material development, is a proof that Korean society is at the center of globalization. Until the 20th century, Korean culture had been rather receptive than dominant. In other words, it was focused more on acceptance of other cultures than active creation or outflow of its own. Now, however, K-POP is not anymore copying Western culture. It is creating its own unique characters, which makes K-pop very competitive. Korean culture has been formed for a long time in Korea's unique historical background. Korean popular culture also has to establish a solid foothold in world markets through its distinctive and traditional feature. The positive consumer response to Korean pop culture will create the added value of Korean contents and their derivatives, which will heighten Korea's national image also. In other words, if traditional art and K-POP are converged and equipped with our own unique and highly artistic culture, they will take the lead in the global cultural art market. In this study, we will recognize the possibility, growth and development of K-pop culture and analyze the cases of combining K-pop and Korean traditional art. First, we have to blend traditional art and other various genres to create diverse contents, and we have to actively utilize media channels. Second, we must improve people's awareness of the copyrights of traditional art. Also, we have to mitigate the copyrights of creative dance to expand the disclosure of contents which can be utilized. Third, we have to learn about traditional arts from younger age. Fourth, we will expand traditional arts to the whole of Korean cultural policies, which can enhance the nation's cultural value and create economic benefits. These four are expected to be effective ways to preserve the identity of traditional art and at the same time, globalize Korean culture.

The International Civil Aviation Organization and Recent Developments of Air Law in a Changing Environment (변환기(變換期)에 있어서의 국제민간항공기구(國際民間航空機構)(ICAD)와 항공법(航空法) 발전(發展)의 최근(最近) 동향(動向))

  • Choi, Wan-Sik
    • The Korean Journal of Air & Space Law and Policy
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    • v.4
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    • pp.7-35
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    • 1992
  • The expansion of air transport on a global scale with ever increasing traffic densities has brought about problems that must be solved through new multilateral mechanisms. Looking to the immediate future, air transport will require new forms of international cooperation in technical and economic areas. Air transport by its very nature should have been a counterforce to nationalism. Yet, the regulatory system in civil aviation is still as firmly rooted in the principle of national sovereignty as when it was first proclaimed at t-11e Paris Convention of 1919 and reaffirmed in the Chicago Convention. Sovereignty over the airspace has remained the cornerstone of relations between states in all respects of air transport. The importance of sovereignty over air space embodied in article 1 of the Chicago Conrenton also is responsible for restricting the authority of ICAO as an intergovernmental regulatory agency. The Orgenization, for all its extensive efforts, has only limited authority. ICAO sets standards but cannot enforce them; it devises solutions but cannot impose them. To implement its rules ICAO most rely not so much on legal requirements as on the goodwill of states. It has been forty-eight years since international community set the foundations of the international system in civil aviation action. Profound political, economic and technological changes have taken place in air transport. The Chicago Convention is living proof that staes can work together to make air transport a safe mode of travel. The law governing international civil auiation is principally based on international treaties and on other regulation agreed to by governments, for the most part through the mechanism of ICAO. The role of ICAO international standards and recommended practices and procedures dealing with a broad range of technical matters could hardly be overestimated. The organization's ability to develop these standards and procedures, to adapt them continuously to the rapid sate of change and development of air transport, should be particularly stressed. The role of ICAO in the area of the development of multilateral conventions on international air law has been successful but to a certain degree. From the modest starting-point of the Tokyo Convention, we have seen more adequate international instruments prepared within the scope of ICAO activities, adopted: the Hague Convention of 1970 for the suppression of Unlawful Seizure of Aircraft and the Montreal Convention of 1971 for the Suppression of Unlawful Acts against the Safety of Civil Aviation. The work of ICAO in the new domain of international law conventions concerning what has been loosely termed above as the criminal problems connected with international air transport, in particular the problem of armed aggression against aircraft, should be positively appreciated. But ICAO records in the domain of developing a uniform legal system of international carriage by air are rather disappointing. The problem of maintaining and developing the uniformity of this regulation exceeds the scope of interest and competence of governmental transport agencies. The expectations of mankind linked to it are too great to give up trying to restore the uniform legal system of international air carriage that would create proper conditions for its further growth. It appears that ICAO has, at present, a good opportunity for doing this. The hasty preparation of ICAO draft conventions should be definitely excluded. Every Preliminary draft convention ought to be sent to Governments of all member-States for consideration, So that they could in form ICAO in due time of their observation. The problom of harmonizing a uniform law of international air carriage with that of other branches of international transport should demand more and more of its attention. ICAO cooperation with other international arganization, especially these working in the field of international transport, should be strengthened. ICAO is supposed to act as a link and a mediator among, at times the conflicting interests of member States, serving the happiness and peace of all of the world. The transformation of the contemporary world of developing international relations, stimulated by steadily growing international cooperation in its various dimensions, political, economic, scientific, technological, social and cultural, continuously confronts ICAO with new task.

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