• Title/Summary/Keyword: Perfect

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Branch-and-Bound Algorithm for Division of Perfect Nine Dart Combinations (퍼펙트 9 다트 조합의 나눗셈 분기한정 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.22 no.4
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    • pp.87-94
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    • 2022
  • This paper researched a study to find a combination of acquisition scores for 9 dart throws, which is the minimum number of dart tactile throws in 501 point dart games. The maximum score that can be obtained by throwing once in a dart game is 60 points, which can end the perfect dart game with 60 points eight times according to 60×8+21×1=501, and if you earn 21 points once, you can finish the game with 9 throws. This is called 9-dart finish. As such, only 18 and 14 studies on the combination of scores that can obtain 501 points with 9 throws are known, and no studies have been conducted applying the exhaustive search algorithm. This paper proposed a division branch-and-bound algorithm as a method of simplifying the O(2n) exponential time performance complexity of the typical branch-and-bound method of a exhaustive search method, to polynomial time complexity. The proposed method limited the level to 8, jumped to a quotient level of 501/60, and backtracked to explore only possible score combinations in the previous level. The possible score combinations of the nine perfect games found with the proposed algorithm were 90(101 cases).

King Sejo's Establishment of the Thirteen-story Stone Pagoda of Wongaksa Temple and Its Semantics (세조의 원각사13층석탑 건립과 그 의미체계)

  • Nam, Dongsin
    • MISULJARYO - National Museum of Korea Art Journal
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    • v.101
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    • pp.12-46
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    • 2022
  • Completed in 1467, the Thirteen-story Stone Pagoda of Wongaksa Temple is the last Buddhist pagoda erected at the center of the capital (present-day Seoul) of the Joseon Dynasty. It was commissioned by King Sejo, the final Korean king to favor Buddhism. In this paper, I aim to examine King Sejo's intentions behind celebrating the tenth anniversary of his enthronement with the construction of the thirteen-story stone pagoda in the central area of the capital and the enshrinement of sarira from Shakyamuni Buddha and the Newly Translated Sutra of Perfect Enlightenment (圓覺經). This paper provides a summary of this examination and suggests future research directions. The second chapter of the paper discusses the scriptural background for thirteen-story stone pagodas from multiple perspectives. I was the first to specify the Latter Part of the Nirvana Sutra (大般涅槃經後分) as the most direct and fundamental scripture for the erection of a thirteen-story stone pagoda. I also found that this sutra was translated in Central Java in the latter half of the seventh century and was then circulated in East Asia. Moreover, I focused on the so-called Kanishka-style stupa as the origin of thirteen-story stone pagodas and provided an overview of thirteen-story stone pagodas built around East Asia, including in Korea. In addition, by consulting Buddhist references, I prove that the thirteen stories symbolize the stages of the practice of asceticism towards enlightenment. In this regard, the number thirteen can be viewed as a special and sacred number to Buddhist devotees. The third chapter explores the Buddhist background of King Sejo's establishment of the Thirteen-story Stone Pagoda of Wongaksa Temple. I studied both the Dictionary of Sanskrit-Chinese Translation of Buddhist Terms (翻譯名義集) (which King Sejo personally purchased in China and published for the first time in Korea) and the Sutra of Perfect Enlightenment. King Sejo involved himself in the first translation of the Sutra of Perfect Enlightenment into Korean. The Dictionary of Sanskrit-Chinese Translation of Buddhist Terms was published in the fourteenth century as a type of Buddhist glossary. King Sejo is presumed to have been introduced to the Latter Part of the Nirvana Sutra, the fundamental scripture regarding thirteen-story pagodas, through the Dictionary of Sanskrit-Chinese Translation of Buddhist Terms, when he was set to erect a pagoda at Wongaksa Temple. King Sejo also enshrined the Newly Translated Sutra of Perfect Enlightenment inside the Wongaksa pagoda as a scripture representing the entire Tripitaka. This enshrined sutra appears to be the vernacular version for which King Sejo participated in the first Korean translation. Furthermore, I assert that the original text of the vernacular version is the Abridged Commentary on the Sutra of Perfect Enlightenment (圓覺經略疏) by Zongmi (宗密, 780-841), different from what has been previously believed. The final chapter of the paper elucidates the political semantics of the establishment of the Wongaksa pagoda by comparing and examining stone pagodas erected at neungsa (陵寺) or jinjeonsawon (眞殿寺院), which were types of temples built to protect the tombs of royal family members near their tombs during the early Joseon period. These stone pagodas include the Thirteen-story Pagoda of Gyeongcheonsa Temple, the Stone Pagoda of Gaegyeongsa Temple, the Stone Pagoda of Yeongyeongsa Temple, and the Multi-story Stone Pagoda of Silleuksa Temple. The comparative analysis of these stone pagodas reveals that King Sejo established the Thirteen-story Stone Pagoda at Wongaksa Temple as a political emblem to legitimize his succession to the throne. In this paper, I attempt to better understand the scriptural and political semantics of the Wongaksa pagoda as a thirteen-story pagoda. By providing a Korean case study, this attempt will contribute to the understanding of Buddhist pagoda culture that reached its peak during the late Goryeo and early Joseon periods. It also contributes to the research on thirteen-story pagodas in East Asia that originated with Kanishka stupa and were based on the Latter Part of the Nirvana Sutra.

MODULES THAT SUBMODULES LIE OVER A SUMMAND

  • Min, Kang-Joo
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.4
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    • pp.569-575
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    • 2007
  • Let M be a nonzero module. M has the property that every submodule of M lies over a direct summand of M. We study some properties of such a module. The endomorphism ring of such a module is also studied. The relationships of such a module to the semi-regular modules, and to the semi-perfect modules are described.

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A Characterization of Order Ideals in the Ordered Space of Hermitian Matrices

  • Moon, Byung Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.2 no.1
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    • pp.15-35
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    • 1989
  • In this paper, we give a characterization of an order ideal which is not necessarily positively generated in the ordered space of Hermitian matrices. Order properties for perfect subspaces are also studied along with other subspace order properties.

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PETTIS INTEGRABILITY OF SEPARABLE-LIKE FUNCTIONS

  • Lee, Byoung-Mu
    • The Pure and Applied Mathematics
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    • v.6 no.2
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    • pp.53-58
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    • 1999
  • In this paper, we introduce the notion of separable-like function, investigate some properties of separable-like functions, and characterize the Pettis integrability of function on a finite perfect measure space.

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Performance Analysis of Multi-Carrier CDMA Trellis coded 16 QAM System with Near/Far Effect in Frequency Selective Multipath Fading Channel (주파수 선택성 다중경로 페이딩 채널에서 Near/Far 영향을 받는 Multi-Carrier CDMA Trellis Coded 16 QAM 시스템의 성능해석)

  • 노재성;강희조;김춘길;김언곤;조성준
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.25 no.3A
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    • pp.353-361
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    • 2000
  • The performance of a multi-carrier CDMA system is analyzed considering frequency selective multipath fading and Near/Far effects. The number of multicarrier, multiuser, and arms of RAKE receiver, and the decay ratio of frequency selective multipath fading are used as a parameter for the performance analysis. More over, the distribution and the strength of multiuser interference are also considered. To evaluated the Near/Far effects in a multi-carrier CDMA system, three distribution models are assumed. In the first model. interference to carrier Ratio, I/C, ranges form -4 dB to 4dB, and at each 2 dB interval 20 % of multiuser is assumed to be uniformly distributed. In the second one, I/C ranges from -2 dB to 2 dB, and 33.3% of multiuser is assumed to be equally dispersed at each 2dB interval. The third model is 0 dB of I/C, that is, with perfect power control, multiuser are assumed to be evenly located. In this paper, multi-carrier CDMA system adoption RAKE receiver is proposed to mitigate the frequency selective multipath fading. Form the results, the third model(i.e. perfect power control)shows the best performance, and the narrower range of I/C causes the less effects to the desired signal, which reads to the better performance.

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