• Title/Summary/Keyword: forbidden set

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A SOLVABLE SYSTEM OF DIFFERENCE EQUATIONS

  • Taskara, Necati;Tollu, Durhasan T.;Touafek, Nouressadat;Yazlik, Yasin
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.301-319
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    • 2020
  • In this paper, we show that the system of difference equations $x_n={\frac{ay^p_{n-1}+b(x_{n-2}y_{n-1})^{p-1}}{cy_{n-1}+dx^{p-1}_{n-2}}}$, $y_n={\frac{{\alpha}x^p_{n-1}+{\beta}(y_{n-2}x_{n-1})^{p-1}}{{\gamma}x_{n-1}+{\delta}y^{p-1}_{n-2}}}$, n ∈ ℕ0 where the parameters a, b, c, d, α, β, γ, δ, p and the initial values x-2, x-1, y-2, y-1 are real numbers, can be solved. Also, by using obtained formulas, we study the asymptotic behaviour of well-defined solutions of aforementioned system and describe the forbidden set of the initial values. Our obtained results significantly extend and develop some recent results in the literature.

BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION

  • ABO-ZEID, R.
    • Journal of applied mathematics & informatics
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    • v.38 no.1_2
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    • pp.1-12
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    • 2020
  • In this paper, we solve the difference equation $x_{n+1}={\frac{x_nx_{n-2}}{ax_n-bx_{n-2}}}$, n = 0, 1, …, where a and b are positive real numbers and the initial values x-2, x-1 and x0 are real numbers. We also find invariant sets and discuss the global behavior of the solutions of aforementioned equation.

Study on Path Planning Algorithms for Unmanned Agricultural Helicopters in Complex Environment

  • Moon, Sang-Woo;Shim, David Hyun-Chul
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.2
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    • pp.1-11
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    • 2009
  • In this paper, two algorithms to solve the path planning problem with constraints from obstacles are presented. One proposed Algorithm is "Grid point-based path planning". The first step of this algorithm is to set points which can be the waypoints around the field. These points can be located inside or outside of the field or the obstacles. Therefore, we should determine whether those points are located in the field or not. Using the equations of boundary lines for a region that we are interested in is an effective approach to handle. The other algorithm is based on the boundary lines of the agricultural field, and the concept of this algorithm is well known as "boustrophedon method". These proposed algorithms are simple but powerful for complex cases since it can generate a plausible path for the complex shape which cannot be represented by using geometrical approaches efficiently and for the case that some obstacles or forbidden regions are located on the field by using a skill of discriminants about set points. As will be presented, this proposed algorithm could exhibit a reasonable accuracy to perform an agricultural mission.

The Online Game Coined Profanity Filtering System by using Semi-Global Alignment (반 전역 정렬을 이용한 온라인 게임 변형 욕설 필터링 시스템)

  • Yoon, Tai-Jin;Cho, Hwan-Gue
    • The Journal of the Korea Contents Association
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    • v.9 no.12
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    • pp.113-120
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    • 2009
  • Currently the verbal abuse in text message over on-line game is so serious. However we do not have any effective policy or technical tools yet. Till now in order to cope with this problem, the online game service providers have accumulated a set of forbidden words and applied this list on the textual word used in on-line game, which is called 'Swear filter'. But young on-line game players easily avoid this filtering method by coining another words which is not kept in the list. Especially Korean is very easy to make new variations of a vulgar word. In this paper, we propose one smart filtering algorithm to identify newly coined profanities. Important features of our method include the canonical form transformation of coined profanities, semi-global alignment between in the level of consonant and vowel units. For experiment, we have collected more than 1000 newly coined vulgar words in on-line gaming sites and tested these word against our methods. where our system have successfully filtered more than 90% of those newly coined vulgar words.

ON A THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS WITH VARIABLE COEFFICIENTS

  • KARA, MERVE;YAZLIK, YASIN;TOUAFEK, NOURESSADAT;AKROUR, YOUSSOUF
    • Journal of applied mathematics & informatics
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    • v.39 no.3_4
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    • pp.381-403
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    • 2021
  • Consider the three-dimensional system of difference equations $x_{n+1}=\frac{{\prod_{j=0}^{k}}z_n-3j}{{\prod_{j=1}^{k}}x_n-(3j-1)\;\(a_n+b_n{\prod_{j=0}^{k}}z_n-3j\)}$, $y_{n+1}=\frac{{\prod_{j=0}^{k}}x_n-3j}{{\prod_{j=1}^{k}}y_n-(3j-1)\;\(c_n+d_n{\prod_{j=0}^{k}}x_n-3j\)}$, $z_{n+1}=\frac{{\prod_{j=0}^{k}}y_n-3j}{{\prod_{j=1}^{k}}z_n-(3j-1)\;\(e_n+f_n{\prod_{j=0}^{k}}y_n-3j\)}$, n ∈ ℕ0, where k ∈ ℕ0, the sequences $(a_n)_{n{\in}{\mathbb{N}}_0$, $(b_n)_{n{\in}{\mathbb{N}}_0$, $(c_n)_{n{\in}{\mathbb{N}}_0$, $(d_n)_{n{\in}{\mathbb{N}}_0$, $(e_n)_{n{\in}{\mathbb{N}}_0$, $(f_n)_{n{\in}{\mathbb{N}}_0$ and the initial values x-3k, x-3k+1, …, x0, y-3k, y-3k+1, …, y0, z-3k, z-3k+1, …, z0 are real numbers. In this work, we give explicit formulas for the well defined solutions of the above system. Also, the forbidden set of solution of the system is found. For the constant case, a result on the existence of periodic solutions is provided and the asymptotic behavior of the solutions is investigated in detail.

Reviews Analysis of Korean Clinics Using LDA Topic Modeling (토픽 모델링을 활용한 한의원 리뷰 분석과 마케팅 제언)

  • Kim, Cho-Myong;Jo, A-Ram;Kim, Yang-Kyun
    • The Journal of Korean Medicine
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    • v.43 no.1
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    • pp.73-86
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    • 2022
  • Objectives: In the health care industry, the influence of online reviews is growing. As medical services are provided mainly by providers, those services have been managed by hospitals and clinics. However, direct promotions of medical services by providers are legally forbidden. Due to this reason, consumers, like patients and clients, search a lot of reviews on the Internet to get any information about hospitals, treatments, prices, etc. It can be determined that online reviews indicate the quality of hospitals, and that analysis should be done for sustainable hospital marketing. Method: Using a Python-based crawler, we collected reviews, written by real patients, who had experienced Korean medicine, about more than 14,000 reviews. To extract the most representative words, reviews were divided by positive and negative; after that reviews were pre-processed to get only nouns and adjectives to get TF(Term Frequency), DF(Document Frequency), and TF-IDF(Term Frequency - Inverse Document Frequency). Finally, to get some topics about reviews, aggregations of extracted words were analyzed by using LDA(Latent Dirichlet Allocation) methods. To avoid overlap, the number of topics is set by Davis visualization. Results and Conclusions: 6 and 3 topics extracted in each positive/negative review, analyzed by LDA Topic Model. The main factors, consisting of topics were 1) Response to patients and customers. 2) Customized treatment (consultation) and management. 3) Hospital/Clinic's environments.

Review of the Modern Values of East and West Moat Culture (동·서양 해자(垓字) 문화의 현대적 가치 재조명)

  • Jung, Yong-Jo
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.35 no.1
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    • pp.25-35
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    • 2017
  • The purpose of this study is to re-exam of the modern values of a moat to utilize it with various functions such as a military defense on the outskirts of the castle, dividing the space by its boundary, controlling the micro-climate in the worsening modern environment with temperature rise due to climate change and habitat reduction of animals, and providing the habitat of animals to modern urban space, etc. The scope of the study is focusing on the castles with the moat installed to prevent the enemy from accessing directly to the wall using a pond or water path for military defense on the outskirts of the castle or to divide it into boundaries. In the Orient, the Nakan Eupseong, Haemi Eupseong, Gyeongju Wolseong in Korea and the Forbidden City in China, and Nijo Castle and Osaka Castle in Japan were selected. In the West, Edinburgh Castle in Britain, Blois Castle in France, Chillon Castle in Switzerland, and Frederiksborg Castle in Denmark were selected for the study. As a research method, literature research and field research were conducted. For the Orient, it was conducted in parallel with the literature research and field research. For the western, it was mainly conducted with literature research. For the literature research, the origin of the moat, the concept of the moat, the function of the moat, the history and culture of the western moat are based on the data from the related institutions and previous studies. For the Orient field research, exploring was conducted in two to three times from Jan. 2016 to Dec. 2016 in each of the target areas of Nakan Eupseong, Haemi Eupseong, Gyeongju Wolseong in Korea and the Forbidden City in China, and Nijo Castle and Osaka Castle in Japan. The contents of the research were analyzed through interviews, photographs, measurements, and observations on the function, size, and characteristics of the moat of each target. The results of this study are as follows. The moat was a structure installed to set a boundary for military defense facilities on the outskirts of a castle and it played an important role as a part of the city in the ancient times of Asia and the West through the Middle Ages. The role of the moat is gradually disappearing due to the disappearance of the purpose of military defense. However, moats are excluded from modern landscape planning, despite the fact that a moat filled with water is a hydrophilic space with great historical and cultural value such as various cultural activities and providing habitats for animals. By reflecting on the moats various functions in modern cities and utilizing it, it is expected to be utilized to bring pleasant air into the city where the circulation of air is blocked and energize the city as a hydroponic element.

Ellen Olenska as the objet petit a and the Relationship Between Man and Woman in Edith Wharton's The Age of Innocence (대상 소타자로 작용하는 엘런 올렌스카 - 『순수의 시대』에 나타난 남녀관계)

  • Lee, Misun
    • Cross-Cultural Studies
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    • v.53
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    • pp.73-102
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    • 2018
  • The purpose of this study was to explain, using Jacques Lacan's theory of desire, how Ellen Olenska functions as the object petit a in her relationship with Newland Archer and to connect the impossibility of Newland and Ellen's love with the impossibility of desire, in Edith Wharton's The Age of Innocence. In New York society in the 1870s, the unpleasant truth was avoided, personal opinions were excluded, no room for imagination existed, and other-ness was expelled. In that society, Newland realized that true love and true emotions were lacking in his life. For Newland, Ellen was the gap in New York society and the object that could fill that gap. Ellen functioned as the object petit a. But the romance between Newland and Ellen was forbidden in New York society, where everything was dominated by strict social codes, and especially because Newland was engaged to Ellen's cousin, May Welland. Ellen became inaccessible to Newland and this set Newland's desire for Ellen in motion. He idealized Ellen as the objet petit a, based on the fantasy that she would fill the void in his life. However, at every critical moment, Newland delayed unification with Ellen by resorting to social codes. His actions betrayed that the goal of his desire was not the fulfillment, but the reproduction of desire, with its circular movement. His decision not to see Ellen in Paris again at the end of the novel can be interpreted as Newland's effort to maintain Ellen as the inaccessible object, objet petit a, forever. It is this impossibility of desire that the romance of Newland and Ellen is predicated upon. Another purpose of this study was to expand this impossibility of desire to the relationship between man and woman and to interpret The Age of Innocence as a story showing the characteristics of the relationship between the sexes. The relationship between Newland and Ellen shows that there is no harmonious relationship between the sexes and that woman exists only as a fantasy object, objet petit a for man.

The oldest Maehyang-bi (埋香碑) of Memorial Inscriptions existing on record; Yeong-am's 'Jeongwon (貞元)' Stone Monument (현존 최고(最古)의 매향비(埋香碑): 영암 정원명(貞元銘) 석비(石碑))

  • Sung, Yungil
    • Korean Journal of Heritage: History & Science
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    • v.54 no.1
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    • pp.70-99
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    • 2021
  • Yeong-am's 'Jeongwon (貞元)' stone monument, designated as the Jeollanam-do Cultural Heritage, is considered to be the oldest of the epigraphs in Jeollanam-do. Immediately after the discovery, the possibility of it being a Maehyangbi of Memorial Inscriptions was mentioned and attracted attention. However, there is an absolute age of the 'Jeongwon (貞元) of 2 years' (786), so despite it is a relatively early epigraph (金石文), there are not many papers on the theme related to this stone monument. I believe that this stone monument is a Maehyangbi (埋香碑). While reviewing and comparing the results of the existing research, I decoded the text from the 42nd character of the 4th line. As a result of the review, that was conducted, it was confirmed that this stone monument is truly a Maehyangbi (埋香碑). In particular, it was recorded in the literature of the late Joseon Dongguk-myungsanggi (東國名山記) that the letters of the Maehyangbi (埋香碑) are not recognizable. However, it is clearly stated that this stone monument is a Maehyangbi (埋香碑). Although there is no common expression for 'bury (埋)' or 'incense burial (埋香)' in the traditional Maehyangbi (埋香碑), which were popular in the late Goryeo and early Joseon Periods, it can be seen that it is a Maehyangbi (埋香碑) from the words "hide (呑藏)" and "10 bundles of fragrant incense (合香十束)" that are engraved on the stone monument with the name 'Jeongwon.' In other words, it is thought that it meant 'hide (呑藏)' instead of 'bury (埋)'. Circumstantial evidence for the monument of Jingamseonsa (眞鑑禪師), built in 888, contains the an epigraph from the Unified Silla Era. There is a phrase on it that says 'Plant incense on the shore (海岸植香)' on the monument of Jingamseonsa (眞鑑禪師), and it conveys its meaning without using the character 'bury (埋)'. As a result of the absence of the character 'bury (埋)' on the stone monument with the name 'Jeongwon', it is not considered as a Maehyangbi (埋香碑). However, there is evidence that the stone monument with the name 'Jeongwon (貞元)' is in fact a Maehyangbi (埋香碑) and it is also in the Geumpyoseok (禁標石; Forbidden Stone) around Gukjangsaeng (國長生) and at the entrance of Dogapsa Temple (道甲寺). The letters written on the gold sign suggest the possibility that the charcoal used to burn incense (香炭) at the royal tombs of King Jeongjo (正祖) was produced around at Dogapsa Temple (道甲寺) in Wolchulsan (月出山). Since the charcoal used to burn incense (香炭) is naturally related to incense (香), it has been shown that the area around Wolchulsan, where Dogapsa Temple is located, has a long history related to incense (香). The letters visible on the stone monument, the record of Dongguk-myungsanggi (東國名山記) in the late Joseon Dynasty, and the letters on the Geompyoseok (禁標石; Forbidden Stone), all show that the stone monument with the name 'Jeongwon (貞元)' is a Maehyangbi (埋香碑). Considering the fact that the earliest Maehyangbi (埋香碑) in existence is the Maehyangbi (埋香碑) in Yeongam (靈巖) Ippam-ri (笠巖里), which has two dates from 1371 at the end of Goryeo and 1410 at the beginning of Joseon, the stone monument with the name 'Jeongwon' which was set up in 786, would be the oldest Maehyangbi (埋香碑) that we know of. In addition, there is a historical significance in that the Maehyangbi (埋香碑) is proven in the record of Dongguk-myungsanggi (東國名山記), a document from the late Joseon period.

Study On the Geographic Locations of Gugoks and Dongcheons in Seoul, Gyeonggi-Do and Gangwon-Do (서울시·경기도·강원도지역 구곡·동천 위치연구)

  • Kang, Kee-Rae;Lee, Hae-Ju;Kim, Hee-Chae;Lee, Hyun-Chae;Kim, Dong-Phil
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.35 no.3
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    • pp.67-75
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    • 2017
  • The culture of Gugok (九曲) and Dongcheon (洞天), which tries to reach the ideological culmination in Confucianism, was widespread throughout the Joseon dynasty. This was an extension of the spirit of studying and honoring Zhu Xi (學朱子, 尊朱子); thereby, Confucian scholars in Joseon expressed the will to follow the teachings of Zhu Xi (朱子) and comforted themselves that they were in the course of attaining the truth. As a realization of this expression of will, scholars designated and operated various scenic sites as Gugoks, following the example of Zhu Xi's Mui Gugok (武夷九曲), and Dongcheons, as a representation of the utopia. These designations are widespread nationwide, with around sixty Gugok locations that have now been reported in academia. However, the actual number of Gugoks exceeds this number, and many of them are currently not identified concerning the exact locations. Therefore, the purpose of this study is to identify the locations of Gugoks and Dongcheons scattered around Seoul, Gyeonggi and Gangwon regions. For the coordinates of Gugoks and Dongcheons, this study referred to the literature, web search and the books published by local cultural institutes. Based on the collected information, the researchers conducted field trips to investigate whether the record exists as a real location and, if so, acquired their coordinates. This study also provides the tables of Gugok or Dongcheon that only exists in the imagination, existed before but now are lost, or are inaccessible. Eight locations in Seoul, Gyeonggi, and Gangwon regions are understood as Gugok. Among them, Gogun Gugok and Okgye Gugok have relatively clear locations and records. Byeokgye Gugok and Suhoe Gugok, on the other hand, has many locations and titles overlapped, and their established time and managers are unclear. As for Ui Gugok in Seoul, it is known to be set by Hong Yangho, but some parts of its locations are confirmed, others are in dispute, and many locations are damaged. Thirty-eight locations in Seoul, Gyeonggi, and Gangwon regions are understood as Dongcheon. There are sixteen Dongcheons in Seoul area. Among them, those including Dohwa Dongcheon, Yangsan Dongcheon, and Ssangnyu Dongcheon actually exist but are forbidden to be accessed. There are thirteen Dongcheons in Gyeonggi area. The exact location of Onsu Dongcheon cannot be confirmed because of the development; Gwirae Dongcheon has historical records, but the actual existence cannot be confirmed. There are nine Dongcheons in Gangwon area. The researcher judged that Hwaeum Dongcheon is the misspelled record of Hwaeumdong Jeongsaji (華陰洞精舍址), which is located at the upstream of Gogun Gugok.