• 제목/요약/키워드: FACT

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Mann-Iteration process for the fixed point of strictly pseudocontractive mapping in some banach spaces

  • Park, Jong-An
    • Journal of the Korean Mathematical Society
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    • 제31권3호
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    • pp.333-337
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    • 1994
  • Many authors[3][4][5] constructed and examined some processes for the fixed point of strictly pseudocontractive mapping in various Banach spaces. In fact the fixed point of strictly pseudocontractive mapping is the zero of strongly accretive operators. So the same processes are used for the both circumstances. Reich[3] proved that Mann-iteration precess can be applied to approximate the zero of strongly accretive operator in uniformly smooth Banach spaces. In the above paper he asked whether the fact can be extended to other Banach spaces the duals of which are not necessarily uniformly convex. Recently Schu[4] proved it for uniformly continuous strictly pseudocontractive mappings in smooth Banach spaces. In this paper we proved that Mann-iteration process can be applied to approximate the fixed point of strictly pseudocontractive mapping in certain Banach spaces.

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THE WEAK F-REGULARITY OF COHEN-MACAULAY LOCAL RINGS

  • Cho, Y.H.;Moon, M.I.
    • Bulletin of the Korean Mathematical Society
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    • 제28권2호
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    • pp.175-180
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    • 1991
  • In [3], [4] and [5], Hochster and Huneke introduced the notions of the tight closure of an ideal and of the weak F-regularity of a ring. This notion enabled us to give new proofs of many results in commutative algebra. A regular ring is known to be F-regular, and a Gorenstein local ring is proved to be F-regular provided that one ideal generated by a system of parameters (briefly s.o.p.) is tightly closed. In fact, a Gorenstein local ring is weakly F-regular if and only if there exists a system of parameters ideal which is tightly closed [3]. But we do not know whether this fact is true or not if a ring is not Gorenstein, in particular, a ring is a Cohen Macaulay (briefly C-M) local ring. In this paper, we will prove this in the case of an 1-dimensional C-M local ring. For this, we study the F-rationality and the normality of the ring. And we will also prove that a C-M local ring is to be Gorenstein under some additional condition about the tight closure.

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A Study on the Men's Trousers in the Chosun Dynasty (조선시대 남자바지에 관한 연구)

  • 구남옥
    • Journal of the Korean Society of Costume
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    • 제52권7호
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    • pp.45-55
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    • 2002
  • This study aimed at proving the fact that Men also wear SOKGOT similar to women's pants in early Chosun era unlike the general opinion that the men's pants is SAPOK-BAJI. From what SAPOK-BAJI didn't show up in the contemporary remains and the fact that men also wear GAE-DANG-GO (the pants opened low parts). which is one of SOKGOT types in ancient time of China, the assumption above can be guessed. Since the clothes style in Chosun era centered on PO. and the pants were designed not to show out. it can be considered there are any troubles for men to wear the SOKGOT style pants. But through Japanese invasion of Korea in 1592 and Chinese invasion of Korea in 1636. changes happened. Due to reflection and awaking about wide and burdensome clothes. the change seemed to be happened from wide SOKGOT style to narrow SAPOK style. The SOKGOT style pants seemed to settle down for women's only as men's pants become SAPOK-BAJI.

A Reduction Method of Reflected Waves for Investigation of Sound Source Location

  • Jang Yun-Seok
    • Journal of Biomedical Engineering Research
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    • 제26권4호
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    • pp.251-255
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    • 2005
  • When the extracorporeal shock wave lithotriptor is operated, sounds can be heard. Then that might be a question about the location where the sounds come from. For the purpose of investigating the fact, we identify the location of the sounds radiated using one hydrophone. In order to carry out the experiment, it is needed to obtain direct waves from objects. Therefore, we present an experimental method to reduce reflected waves for obtaining direct waves only. The experimental results show the amplitude of waves can be attenuated about 28dB due to a silicon rubber plate of 8.5mm attached at the bottom. This is a quantified result that can expect to obtain the direct waves using the proposed method. Then, we carried out the experiment for the sound source location. From the experimental results, we can undoubtedly present a fact that the sounds are radiated from the objects to be shot due to shock waves.

An analysis on the injection mold simulation of single cushion pact cosmetic container for the friendly-environment and high productivity (친환경 고생산성을 위한 단일 쿠션 팩트 내 화장품 용기의 사출 시뮬레이션 분석)

  • Jung, Sung-Taek;Kim, Seong-Hyun;Kim, Hyun-Jeong;Lee, Joong-Bae;Baek, Seung-Yub
    • Design & Manufacturing
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    • 제12권2호
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    • pp.51-56
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    • 2018
  • Generally, The women was used in the cosmetic cushion fact. It has developed with the consideration of manufacturing. In this study, we designed green-friendly and element parts lower and single cushion fact containers using a single material. Injection mold simulation were performed using on 3D design data. The injection mold simulation used the data (Injection time / Cooling time / Temperature / Pressure) in the injection mold parameters. In addition, the sink mark phenomenon in the simulation results is analyzed as a problem due to the thickness and further research is needed in the future.

A review of Mathematical creativity (수학적 창의력에 대한 소고)

  • 이대현;박배훈
    • Journal of Educational Research in Mathematics
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    • 제8권2호
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    • pp.679-690
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    • 1998
  • I wish to search for educational alternatives which improve students' mathematical creativity. As the first attempt for this, theories of general creativity and characters of mathematical creativity are discussed. And four factors( teacher variables. student variables, teaching and learning variables. environment variables) affecting mathematical creativity are analyzed. It is a educational well-known fact that students should think creatively and solve the problems for themselves. We postulate the fact that students' mathematical creativity can be developed. I think it is a mission and a duty for mathematics educators to develop the students' mathematical creativity fully. Mathematics educators should search for the methods which encourage the students to have mathematical creativity and should develop them.

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On the publication of Hong JeongHa's GuIlJib (홍정하의 구일집의 저술에 관하여 - 홍정하 탄생 330주년을 기념하며 -)

  • REE, Sangwook;KOH, Youngmee
    • Journal for History of Mathematics
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    • 제28권5호
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    • pp.233-248
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    • 2015
  • Year 2014 was very special to Korean mathematical society. Year 2014 was the Mathematical Year of Korea, and the International Congress of Mathematicians "ICM 2014" was held in Seoul, Korea. The year 2014 was also the 330th anniversary year of the birth of Joseon mathematician Hong JeongHa. He is one of the best, in fact the best, of Joseon mathematicians. So it is worth celebrating his birth. Joseon dynasty adopted a caste system, according to which Hong JeongHa was not in the higher class, but in the lower class of the Joseon society. In fact, he was a mathematician, a middle class member, called Jungin, of the society. We think over how Hong JeongHa was able to write his mathematical book GuIlJib in Joseon dynasty.

Weldability Increase of Aluminum by Variable Polarity Arc (가변 극성 아크의 알루미늄 용접성 향상에 관한 연구)

  • Cho, Jungho
    • Journal of Welding and Joining
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    • 제32권1호
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    • pp.108-111
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    • 2014
  • Low arc weldability of aluminum alloy is enhanced by applying variable polarity TIG and the result is theoretically investigated to figure out the mechanism. Conventionally, it is well known fact that DCEP (reverse polarity) arc is effective on aluminum welding. The reason is due to oxide layer removal by plasma ion bombardment and therefore it is named as cleaning effect. Another fact of polarity characteristic is that DCEN shows higher heat input efficiency therefore conventional variable polarity arc used to apply DCEP portion as small as possible. However, higher DCEP portion shows bigger weldment in this research and it is explained by adopting a theory of arc concentration on oxide layer with tunneling effect which was not clearly mentioned before in several variable polarity TIG welding research. Disagreement between variable polarity TIG welding result and conventional arc polarity theory is rationally explained for the first time with help of electron emission theory.

Study comparing the Treasure Mirror of Eastern Medicines, and Je Joong Shin Pyeon (제중신편과 동의보감의 비교 연구)

  • Ji, Chang Young
    • The Journal of Korean Medical History
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    • 제21권2호
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    • pp.135-147
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    • 2008
  • Je Joon Shin Pyeon, of 濟衆新編 is a classic on medicines which was written as an attempt to make the best of many different medicinal classics in order to make the details clear and concise, because Treasure Mirror of Eastern Medicine was thought to be too extensice and broad, or '浩繁'. Since the result was simple and clear in it best sense, it was thought of as the book which ended the habit of being too extensive, or '芟繁'. On the other hand, there was a need to pass on new knowledge and records, due to the fact that there were diseases that have changed in their properties and nature, or that have emerged through the passing of time, and the fact that various experiences on medical treatments have been accumulated and that the medical system have changed. This is in inquiry mainly in aspects of new knowledge that Treasure Mirror of Eastern Medicines have not been able to include in its details.

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Construction of Knowledge-based Simulation Environment Using Expert System and Database (전문가 시스템과 데이터 베이스를 사용한 지식 기반 시뮬레이션 환경 구축)

  • 김형종;이주용;조대호
    • Journal of the Korea Society for Simulation
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    • 제9권3호
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    • pp.27-41
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    • 2000
  • As the application domains of rule-based systems become larger and more complicated, the integration of rule-based systems within the database systems has become the topic of many research works. This paper suggests a simulation modeling using expert system and database. The integration methods employed in this research are as follows. First, we defined new states and state transition functions to interrelate simulation model and expert system. Second, we designed and implemented FCL(Fact Class Library) as a interface of expert system and database. FCL has facilities of filtering data from database, and assigning a meaning to the filtered data. Also, FCL detects the violation of the integrity rules in database, as the result of inference is reflected. Some implementation problems are pointed out and the methods to solve these problems are discussed in this paper, We developed a simulation model of the grating production line and executed it to validate the functions of the proposed method.

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