• Title/Summary/Keyword: Hat1

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GENERALIZED FOURIER-FEYNMAN TRANSFORM AND SEQUENTIAL TRANSFORMS ON FUNCTION SPACE

  • Choi, Jae-Gil;Chang, Seung-Jun
    • Journal of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.1065-1082
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    • 2012
  • In this paper we first investigate the existence of the generalized Fourier-Feynman transform of the functional F given by $$F(x)={\hat{\nu}}((e_1,x)^{\sim},{\ldots},(e_n,x)^{\sim})$$, where $(e,x)^{\sim}$ denotes the Paley-Wiener-Zygmund stochastic integral with $x$ in a very general function space $C_{a,b}[0,T]$ and $\hat{\nu}$ is the Fourier transform of complex measure ${\nu}$ on $B({\mathbb{R}}^n)$ with finite total variation. We then define two sequential transforms. Finally, we establish that the one is to identify the generalized Fourier-Feynman transform and the another transform acts like an inverse generalized Fourier-Feynman transform.

PERIODIC SOLUTIONS OF STOCHASTIC DELAY DIFFERENTIAL EQUATIONS AND APPLICATIONS TO LOGISTIC EQUATION AND NEURAL NETWORKS

  • Li, Dingshi;Xu, Daoyi
    • Journal of the Korean Mathematical Society
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    • v.50 no.6
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    • pp.1165-1181
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    • 2013
  • In this paper, we consider a class of periodic It$\hat{o}$ stochastic delay differential equations by using the properties of periodic Markov processes, and some sufficient conditions for the existence of periodic solution of the delay equations are given. These existence theorems improve the results obtained by It$\hat{o}$ et al. [6], Bainov et al. [1] and Xu et al. [15]. As applications, we study the existence of periodic solution of periodic stochastic logistic equation and periodic stochastic neural networks with infinite delays, respectively. The theorem for the existence of periodic solution of periodic stochastic logistic equation improve the result obtained by Jiang et al. [7].

A Study of the Chuchih $Ch'unch\hat{e}ng$, or 'Proofs of Providence,' with Emphasis on Its Impression and Value (동양문고소장 중간본 "주제군징"에 대하여 -특히 판본과 그 자료적 가치를 중심으로-)

  • Shim Woo-choon
    • Journal of the Korean Society for Library and Information Science
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    • v.1
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    • pp.77-102
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    • 1970
  • The writer discusses about the value of the two-volume Chuchih $Ch'unch\hat{e}ng$ in the Toyo Bunko in terms of its history and contents. The book is an incomplete reprint without preface. However, it has no error in its contents through the three elaborate revisions. The writer defines the book as a scientific and religious work. The author shows in the first volume his hypothesis, analysis, and conclusion, of the order of the things in the universe and in the second volume tries to prove the God's existence and Divine Providence. The proofs presented are related to the scientific thoughts of the West in the 17th century.

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ON THE HILBERT SPACE OF FORMAL POWER SERIES

  • YOUSEFI, Bahman;SOLTANI, Rahmat
    • Honam Mathematical Journal
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    • v.26 no.3
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    • pp.299-308
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    • 2004
  • Let $\{{\beta}(n)\}^{\infty}_{n=0}$ be a sequence of positive numbers such that ${\beta}(0)=1$. We consider the space $H^2({\beta})$ of all power series $f(z)=^{Po}_{n=0}{\hat{f}}(n)z^n$ such that $^{Po}_{n=0}{\mid}{\hat{f}}(n){\mid}^2{\beta}(n)^2<{\infty}$. We link the ideas of subspaces of $H^2({\beta})$ and zero sets. We give some sufficient conditions for a vector in $H^2({\beta})$ to be cyclic for the multiplication operator $M_z$. Also we characterize the commutant of some multiplication operators acting on $H^2({\beta})$.

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Axial Impact Collapse Analysis on Front-End Side Members of Vehicles by FEM (FEM에 의한 차량전면부 사이드부재의 축방향 충격압궤 해석)

  • Cha Cheon-Seok;Chung Jin-Oh;Yang In-Young
    • Journal of the Korean Society of Safety
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    • v.18 no.4
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    • pp.1-7
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    • 2003
  • The front-end side members of vehicles(spot welded hat and double hat shaped section members) absorb most of the impact energy in a case of front-end collision. In this paper, specimens with various spot weld pitches have been tested with a high impact velocity of 7.19m/sec(impact energy of 1034J). The axial impact collapse simulation on the sections has been carried out to review the collapse characteristics of these sections, using an explicit finite element code, LS-DYNA3D. Comparing the results with experiments, the simulation has been verified; the energy absorbing capacity is analyzed and an analysis method is suggested to obtain exact collapse loads and deformation collapse modes.

A Study on the Costumes of Male Performers in the late Joseon's Gamrotaenghwa(Part I) - Korean Nectar Ritual Painting - (조선후기 감로탱화 하단화를 통해 본 예인복식 연구(제1보) - 사당패 남자복식을 중심으로 -)

  • Hong, Na-Young;Min, Bo-Ra
    • Journal of the Korean Society of Clothing and Textiles
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    • v.30 no.1 s.149
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    • pp.94-105
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    • 2006
  • This study is focused on the man's costumes of Sadangpae(the troupe of performers) shown in Gamrotaenghwa (감로탱화) during the late Chosun dynasty. Originally Gamrotaenghwa was used as a painting for a Buddhist praying ceremony, 또Young-ga-cheon-do-je(영가천도제). It shows us the lives of the commoners in those days. Gamrotaenghwa reflects the changes of costume style in the late Chosun period. The early styles of po(포, coat) for male performers in the 17th century were changeui(창의) and dopo(도포), which had the front panels(seop) overlapped deeply and sleeves that got wider as time passed. After the 18th century, Male performers wore a simpler coat such as sochangeui(소창의), which had narrow sleeves and long slits on the both sides. Especially the coats of acrobats were fastened on the center front with buttons. Heuklip(흑립: black hat), somoja(소모자: small cap) and jeonlip(전립: wool hat) were used as hats for the male performers. Originally, heuklip was the hat that represented the noble status: yangban(양반). However, it was popularized among the commoners in the late Chosun period. As time passed on, the heuklip became more popular and its shape also changed. Somoja and jeonlip were shown throughout the entire Gamrotaenghwa. Unlike heuklip, those were common hats for Sadangpae. The costumes of entertainers shown in Gamrotaenghwa were very similar to those of the commoners. However, it seems that there were some differences of the costumes depending on the roles they performed.

Vietnamese Students in Tokyo, 1906-1909 (동경의 베트남 학생들, 1906-1909)

  • Jeong, Yeonsik
    • The Southeast Asian review
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    • v.24 no.1
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    • pp.1-43
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    • 2014
  • 1905년에 시작된 베트남 동유운동의 목적은 베트남의 젊은이들을 일본에서 공부시켜 독립과 근대화를 이끌 인재를 양성하는 것이었다. 그러나 1908년 일본 정부의 강제 출국 조치로 인해 동유운동이 중단됨으로써 목표했던 바를 이루는 데 실패한 것으로 평가되고 있다. 하지만 다른 시각에서 본다면 200여 명의 베트남 학생들이 수년간 유학을 한 결과가 어떠한 형태로든 베트남 근대사에 족적을 남겼을 것이라고 추측하는 것도 가능하다. 그간의 연구는 동유운동을 주도했던 판보이쩌우(Phan Bội $Ch{\hat{a}}u$)에 집중함으로써 학생들의 면면에 대해서는 크게 알려진 바가 없다. 이 연구는 당시 일본으로 유학했던 학생들에게 초점을 두어 그들이 누구인지 무엇을 공부했는지, 또한 당시 사회주의 사상 전파의 중심이었으며 아시아 각국의 혁명가들이 집결해있던 동경에서 학생들은 어떤 영향을 받고 어떻게 연계되었는지에 대해서 살펴보았다. 학생들 대부분은 동아동문서원이라는 중국인 유학생 예비학교의 특별반에서 일본어와 기초적인 초등교육 과목을 이수하는 데 그쳤고 단 세 명의 학생만이 군사예비학교인 진무학교를 졸업할 수 있었다. 즉 고등교육을 받은 학생은 전무했던 것이다. 강제 출국되기까지 그 기간이 짧았던 것이 가장 큰 원인임에 분명하지만 한편으로는 동유운동 자체가 철저히 준비되고 계획되지 않았던 점도 실패의 주요 원인으로 꼽을 수 있다. 특히 학생 선발에 대한 규정 없이 기본적으로 누구든지 수용함으로써 학생들의 절대다수가 10대 초중반이 되는 결과를 낳았다. 이는 독립과 혁명을 위한 인재 양성이라는 취지와 관계없이 다수의 학부모들이 동유운동을 단순히 자녀교육의 수단으로 이용했기 때문이다. 또한 이들을 입학시킬 학교 섭외조차 되지 않았고, 그 결과 전적으로 일본 내 조력자들의 호의에 의지해 동아동문서원에 설치된 베트남 학생들만을 위한 특별반에 만족해야 했다. 따라서 대부분의 베트남 학생들은 일본에서 공부했지만 실제로는 고립된 상태에서 외부세계를 경험할 수 없었고, 그렇다 하더라도 당시의 혁명적 사상을 이해하거나 수용하기에는 부족한 나이였다. 요컨대 동유운동의 실패는 그 기간이 짧았기 때문만이 아니라 그 짧은 기간 내에서도 교육의 질적 수준이 낮았다는 데에서도 그 원인을 찾을 수 있다. 일본에 유학했던 베트남 학생들의 전체 명단은 현재 실종된 것으로 보이며 다만 산발적인 정보를 종합하여 약 20여 명에 관한 성명과 간단한 정보를 파악할 수 있었다. 이 정보와 더불어 추후 더 많은 기록이 발굴된다면 베트남 현대사에서 그들의 이름이 등장하는지 다시 한 번 확인하고 재평가할 수 있을 것이다.

Une étude pour la critique de théâtre avec la sémiotique ouverte -avec par Jean Genet- (열린 기호학을 활용한 연극비평 연구 -장 주네의 <하녀들> 공연을 중심으로-)

  • LIM, Seon-Ok
    • Journal of Korean Theatre Studies Association
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    • no.40
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    • pp.239-275
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    • 2010
  • Cette ${\acute{e}}tude$ a pour but de proposer une $m{\acute{e}}thodologie$ de critique avec la $s{\acute{e}}miotique$ ouverte. La critique de $th{\acute{e}}{\hat{a}}tre$ commence ${\grave{a}}$ lire le $th{\acute{e}}{\hat{a}}tre$, l'analyse et juge son valeur. Il arrive souvent qu'on juge avec intutition. On dit que c'est une critique d'impressionnisme. Cette critique est subjective, mais pas objective. La $s{\acute{e}}miotique$ de Saussure offre la $m{\acute{e}}thodologie$ scientifique ${\grave{a}}$ la critique. A $c{\hat{o}}t{\acute{e}}$ de la critique d'impressionnisme qui est subjective, la $s{\acute{e}}miotique$ peut expliciter la raison objective. On ${\acute{e}}tait$ admiratif devant sa scientisme, pourtant $apr{\grave{e}}s$ quoi on critique sa non-$subjectivit{\acute{e}}$ et sa non-$historicit{\acute{e}}$. Dans l'opposition de $l^{\prime}objectivit{\acute{e}}$ et de la $subjectivit{\acute{e}}$, on tente de rechercher un model $int{\acute{e}}gr{\acute{e}}$ dialectiquement entre l'impressionisme(subjective) et la scientisme(objective). Pour cela, on doit aux Ecrits de linguistique $g{\acute{e}}n{\acute{e}}rale$ ($publi{\acute{e}}$ en 2002 chez Gallimard). Ces Ecrits nous aident ${\grave{a}}$ amener la $s{\acute{e}}miotique$ $ferm{\acute{e}}e$ sur la $s{\acute{e}}miotique$ ouverte et ${\grave{a}}$ $red{\acute{e}}couvrir$ la $pens{\acute{e}}e$ de Saussure. Ils nous font ouvrir un nouveau champ de recherche pour la $s{\acute{e}}miotique$ ouverte. L'essentiel de la $th{\acute{e}}orie$ saussurienne du signe $d{\acute{e}}pend$ de l'arbitraire et du circulaire du signe. On $red{\acute{e}}couvre$ la notion ${\acute{e}}largie$ du signe, dans Ecrits de linguistique $g{\acute{e}}n{\acute{e}}rale$, contre le courant majeur de linguistique et de structuralisme. Cette notion s'y focalise, ${\grave{a}}$ la valeur, ${\grave{a}}$ la $relativit{\acute{e}}$, ${\grave{a}}$ la $diff{\acute{e}}rence$ et au $syst{\grave{e}}me$. Avec elle, on tente d'adopter la $s{\acute{e}}miotique$ ouverte pour rechercher une $m{\acute{e}}thodologie$ de critique qui se veut objective et ${\grave{a}}$ la fois subjective. Il s'agit d'une difficile combinaison de l'impressionisme et de la scienticisme. Pour cela, la $m{\acute{e}}thodologie$ se $d{\acute{e}}veloppera$ en trois ${\acute{e}}tapes$. $1{\grave{e}}re$ ${\acute{e}}tape$: c'est lire le $th{\acute{e}}{\hat{a}}tre$ comme un signe total pour 1er jugement d'impressionnisme. $2{\grave{e}}me$ ${\acute{e}}tape$: c'est retrouver sa structure invisible dans la $relativit{\acute{e}}$ des signes. $3{\grave{e}}me$ ${\acute{e}}tape$: c'est juger, dans leur $relativit{\acute{e}}$, comment les $d{\acute{e}}tails$ de signes se fonctionnent. C'est lire les $d{\acute{e}}tails$ de signes et puis $r{\acute{e}}affirmer$ le jugement en $1{\grave{e}}re$ ${\acute{e}}tape$. Selon les $derni{\grave{e}}res$ deux ${\acute{e}}tapes$, on pourra comparer le premier jugement (impressif) et le dernier jugement (objectif), et enfin s'assumer comme critique. Selon la $m{\acute{e}}thodologie$ $propos{\acute{e}}e$, on pratique la critique sur ${\acute{e}}crit$ par Jean Genet, et mise en $sc{\grave{e}}ne$ par Lee Youn-Taek et par Park Jung-Hee. Pour la critique intertextuelle, on la fera en comparant les deux spectacles avec la $pi{\grave{e}}ce$ de Jean Genet. $D^{\prime}apr{\grave{e}}s$ la comparaison, Lee Youn-Taek met en $sc{\grave{e}}ne$ avec $fid{\acute{e}}lit{\acute{e}}$ la structre et les signes de $d{\acute{e}}tail$ de l'auteur, Park Jung-Hee change sa structre et ses signes pour mettre en $sc{\grave{e}}ne$ la $pi{\grave{e}}ce$ de Genet. Ils se $diff{\grave{e}}rent$ l'un et l'autre: Lee incite le discours de la classe sociale dans le spectacle, et Park y incite le discours du $d{\acute{e}}sir$. La $diff{\acute{e}}rence$ des signes dans la $relativit{\acute{e}}$ apporte la $diff{\acute{e}}rence$ de la signification de discours $th{\acute{e}}{\hat{a}}tral$, et enfin se font changer les significations de deux spectacles.

Adjustment of 1st order Level Network of Korea in 2006 (2006년 우리나라 1등 수준망 조정)

  • Lee, Chang-Kyung;Suh, Young-Cheol;Jeon, Bu-Nam;Song, Chang-Hyun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.26 no.1
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    • pp.17-26
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    • 2008
  • The 1st order level network of Korea was adjusted simultaneously in 1987. After that, the 1 st order level network of Korea was adjusted simultaneously by National Geographic Information Institute in 2006. The levelling data were acquired by digital level with invar staff from 2001 through 2006. The 1st order level network consists of 36 level lines. Among them, 34 level lines comprise 11 level loops. Among 36 level lines, 4 level lines have fore & back error larger than the regulations for the 1st order levelling of NGII, Korea. Also, the closing error of 3 loops of level network exceed the regulation for the 1st order levelling of NGII. The standard error of fore and back leveling between bench marks(${\eta}_1$) are distributed between 0.2 $mm/{\surd}km$ and 1.7 $mm/{\surd}km$. The standard error of loop closing(${\eta}_2$) is 2.0 $mm/{\surd}km$. This result means that the 1st order level network of Korea qualifies for the high precision leveling defined by International Geodetic Association in 1948. As the result of the 1st order level network adjustment, the reference standard error($\hat{{\sigma}_0}$) of the level network was 1.8 $mm/{\surd}km$, which is twice as good as that of the 1st adjustment of level networks in 1987.