• 제목/요약/키워드: Natural Convergence Space

검색결과 89건 처리시간 0.035초

CONVERGENCE THEOREMS OF THE ITERATIVE SEQUENCES FOR NONEXPANSIVE MAPPINGS

  • Kang, Jung-Im;Cho, Yeol-Je;Zhou, Hai-Yun
    • 대한수학회논문집
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    • 제19권2호
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    • pp.321-328
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    • 2004
  • In this paper, we will prove the following: Let D be a nonempty of a normed linear space X and T : D -> X be a nonexpansive mapping. Let ${x_n}$ be a sequence in D and ${t_n}$, ${s_n}$ be real sequences such that (i) $0\;{\leq}\;t_n\;{\leq}\;t\;<\;1\;and\;{\sum_{n=1}}^{\infty}\;t_n\;=\;{\infty},\;(ii)\;(a)\;0\;{\leq}\;s_n\;{\leq}\;1,\;s_n\;->\;0\;as\;n\;->\;{\infty}\;and\;{\sum_{n=1}}^{\infty}\;t_ns_n\;<\;{\infty}\;or\;(b)\;s_n\;=\;s\;for\;all\;n\;{\geq}\;1\;and\;s\;{\in}\;[0,1),\;(iii)\;x_{n+1}\;=\;(1-t_n)x_n+t_nT(s_nTx_n+(1-s_n)x_n)\;for\;all\;n\;{\geq}\;1.$ Then, if the sequence {x_n} is bounded, then $lim_{n->\infty}\;$\mid$$\mid$x_n-Tx_n$\mid$$\mid$\;=\;0$. This result improves and complements a result of Deng [2]. Furthermore, we will show that certain conditions on D, X and T guarantee the weak and strong convergence of the Ishikawa iterative sequence to a fixed point of T.

Bi-directional Maximal Matching Algorithm to Segment Khmer Words in Sentence

  • Mao, Makara;Peng, Sony;Yang, Yixuan;Park, Doo-Soon
    • Journal of Information Processing Systems
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    • 제18권4호
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    • pp.549-561
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    • 2022
  • In the Khmer writing system, the Khmer script is the official letter of Cambodia, written from left to right without a space separator; it is complicated and requires more analysis studies. Without clear standard guidelines, a space separator in the Khmer language is used inconsistently and informally to separate words in sentences. Therefore, a segmented method should be discussed with the combination of the future Khmer natural language processing (NLP) to define the appropriate rule for Khmer sentences. The critical process in NLP with the capability of extensive data language analysis necessitates applying in this scenario. One of the essential components in Khmer language processing is how to split the word into a series of sentences and count the words used in the sentences. Currently, Microsoft Word cannot count Khmer words correctly. So, this study presents a systematic library to segment Khmer phrases using the bi-directional maximal matching (BiMM) method to address these problematic constraints. In the BiMM algorithm, the paper focuses on the Bidirectional implementation of forward maximal matching (FMM) and backward maximal matching (BMM) to improve word segmentation accuracy. A digital or prefix tree of data structure algorithm, also known as a trie, enhances the segmentation accuracy procedure by finding the children of each word parent node. The accuracy of BiMM is higher than using FMM or BMM independently; moreover, the proposed approach improves dictionary structures and reduces the number of errors. The result of this study can reduce the error by 8.57% compared to FMM and BFF algorithms with 94,807 Khmer words.

강변공간의 문화축제 조성을 위한 융복합 기술의 활용 (Application on the Convergence Technology for Culture Festival Promotion of Riverside Space)

  • 연상호;이영욱
    • 문화기술의 융합
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    • 제1권4호
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    • pp.79-86
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    • 2015
  • 청풍호와 강변은 은 한국 반도의 중앙에 제천시에 위치하고 있으며, 1984년에 충주 수력발전댐 건설에 의해 형성된 청풍호수는 지금은 지난 30 년 동안 남한강 상류의 중심하천으로 만들어진 담수호처럼 변화되어져 있다. 최근 제천시 정부는 미래를 위한 자연치유 리조트와 엔터테인먼트 콘텐츠를 개발하고 있으며, 본 연구는 이 지역의 문화축제의 타당성 조사에 대한 비교에서 원격탐사 기술과 현장조사 계획을 사용하여 지리 조사 및 분석의 진행하였고, 매우 효과적인 것으로 입증 할 수 있는 항공사진과 원격탐사기법으로 자연환경과 지형분석을 실시하여 문화콘텐츠와 통합하고, 강변 공간에서 미래의 비즈니스 창출 및 관광자원의 조사를 통하여 신 브랜드의 시설과 이벤트를 구상하였다. 결과적으로, 보다 다양한 문화축제가 형성될 수 있도록 기존의 문화적인 콘텐츠에 새로운 첨단 디지털 영상기술을 융합실험으로 미래의 문화참여 관광의 새로운 방향을 제시하고자 하였다.

ON THE M-SOLUTION OF THE FIRST KIND EQUATIONS

  • Rim, Dong-Il;Yun, Jae-Heon;Lee, Seok-Jong
    • 대한수학회논문집
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    • 제10권1호
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    • pp.235-249
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    • 1995
  • Let K be a bounded linear operator from Hilbert space $H_1$ into Hilbert space $H_2$. When numerically solving the first kind equation Kf = g, one usually picks n orthonormal functions $\phi_1, \phi_2,...,\phi_n$ in $H_1$ which depend on the numerical method and on the problem, see Varah [12] for more details. Then one findes the unique minimum norm element $f_M \in M$ that satisfies $\Vert K f_M - g \Vert = inf {\Vert K f - g \Vert : f \in M}$, where M is the linear span of $\phi_1, \phi_2,...,\phi_n$. Such a solution $f_M \in M$ is called the M-solution of K f = g. Some methods for finding the M-solution of K f = g were proposed by Banks [2] and Marti [9,10]. See [5,6,8] for convergence results comparing the M-solution of K f = g with $f_0$, the least squares solution of minimum norm (LSSMN) of K f = g.

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High Accuracy Vision-Based Positioning Method at an Intersection

  • Manh, Cuong Nguyen;Lee, Jaesung
    • Journal of information and communication convergence engineering
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    • 제16권2호
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    • pp.114-124
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    • 2018
  • This paper illustrates a vision-based vehicle positioning method at an intersection to support the C-ITS. It removes the minor shadow that causes the merging problem by simply eliminating the fractional parts of a quotient image. In order to separate the occlusion, it firstly performs the distance transform to analyze the contents of the single foreground object to find seeds, each of which represents one vehicle. Then, it applies the watershed to find the natural border of two cars. In addition, a general vehicle model and the corresponding space estimation method are proposed. For performance evaluation, the corresponding ground truth data are read and compared with the vision-based detected data. In addition, two criteria, IOU and DEER, are defined to measure the accuracy of the extracted data. The evaluation result shows that the average value of IOU is 0.65 with the hit ratio of 97%. It also shows that the average value of DEER is 0.0467, which means the positioning error is 32.7 centimeters.

On triple sequence space of Bernstein-Stancu operator of rough Iλ-statistical convergence of weighted g (A)

  • Esi, A.;Subramanian, N.;Esi, Ayten
    • Annals of Fuzzy Mathematics and Informatics
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    • 제16권3호
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    • pp.337-361
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    • 2018
  • We introduce and study some basic properties of rough $I_{\lambda}$-statistical convergent of weight g (A), where $g:{\mathbb{N}}^3{\rightarrow}[0,\;{\infty})$ is a function statisying $g(m,\;n,\;k){\rightarrow}{\infty}$ and $g(m,\;n,\;k){\not{\rightarrow}}0$ as $m,\;n,\;k{\rightarrow}{\infty}$ and A represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight g (A) limits of a triple sequence of Bernstein-Stancu polynomials.

New Mutation Rule for Evolutionary Programming Motivated from the Competitive Exclusion Principle in Ecology

  • Shin, Jung-Hwan;Park, Doo-Hyun;Chien, Sung-I1
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.165.2-165
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    • 2001
  • A number of previous researches in evolutionary algorithm are based on the study of facets we observe in natural evolution. The individuals of species in natural evolution occupy their own niche that is a subdivision of the habitat. This means that two species with the similar requirements cannot live together in the same niche. This is known as the competitive exclusion principle, i.e., complete competitors cannot coexist. In this paper, a new evolutionary programming algorithm adopting this concept is presented. Similarly in the case of natural evolution , the algorithm Includes the concept of niche obtained by partitioning a search space and the competitive exclusion principle performed by migrating individuals. Cell partition and individual migration strategies are used to preserve search diversity as well as to speed up convergence of an ...

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FIXED POINT SOLUTION METHODS FOR SOLVING EQUILIBRIUM PROBLEMS

  • Anh, Pham Ngoc;Hien, Nguyen Duc
    • 대한수학회보
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    • 제51권2호
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    • pp.479-499
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    • 2014
  • In this paper, we propose new iteration methods for finding a common point of the solution set of a pseudomonotone equilibrium problem and the solution set of a monotone equilibrium problem. The methods are based on both the extragradient-type method and the viscosity approximation method. We obtain weak convergence theorems for the sequences generated by these methods in a real Hilbert space.

암 센터 이용 환자의 회복을 위한 움직임 프로그램 탐색 (Search for Movement Program for Recovery of Patient Using Cancer Center)

  • 전상완;이은석
    • 한국융합학회논문지
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    • 제9권9호
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    • pp.353-362
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    • 2018
  • 본 연구는 국내 병원 암 센터 이용 환자의 회복을 위한 움직임 프로그램 구성에서 중요하게 다루어야 할 주제들이 무엇인지를 전문가적 합의를 제안하기 위한 것이다. 최종 확정된 움직임 프로그램 구성 요소의 중요도를 산출한 결과, 첫째, 움직임 촉진을 위한 환경에 대한 의견으로는 쾌적한 시설, 자연채광, 휴게실 공간, 자연친화적 공간의 시설적 측면과 질병에 대한 교육, 참여프로그램, 건강 피드백, 정보 유인물 등이 제시되었다. 둘째, 움직임 프로그램 구성 목적에 대한 의견으로는 암 예방 및 조기검진 홍보와 교육, 암 경험자의 효과적 치료방법 공유, 정확한 정보 전달의 인지적 측면과 심리적 지원 및 스트레스 해소, 삶의 질 향상 등이 제시되었다. 셋째, 움직임 프로그램 고려사항에 대한 의견으로는 스트레스 해소, 암 환자의 요구도, 교육의 올바른 정보 전달, 삶의 질, 암 환자의 참여도 등이 제시되었다. 넷째, 움직임 프로그램 애로사항으로는 상이한 신체적 특성, 신체적 불편함, 소극적 참여의 환자 측면과 공간 협소 및 부족, 프로그램 전용 공간 부재 등의 공간측면 등이 제시되었다.

A Study on the Observer Psychological Change in accordance with Index of Greenness in Landscape Planting Space

  • Kim, Jeong-Ho;Seo, Yu-Hwan;Yoon, Yong-Han;Joo, Chang-Hun
    • 한국환경과학회지
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    • 제23권10호
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    • pp.1663-1671
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    • 2014
  • The object of this research is to find out the psychological change of observer according to the index of Greenness in the space of scenic planting, and research is proceeded with total 112, male students 69, and female students 43. The index of Greenness experimented with 5 pictures, 20%, 40%, 60%, 80%, and 100%, and carried out the test after selecting each picture of the index of Greenness for landscaping in Konkuk University Global Campus. To find out the mood condition of testee, POMS and SD was used for analyzing. As a result of TMD among POMS, male and female students are shown as each 60% > 100% > 40% > 20% > 80% in order. As a result of SD, male and female students are shown as 80% > 20% > 40% > 60% > 100% in order and the index of Greenness 100% makes people feel fluent and natural about plants but closed and constrained than the index of Greenness 80%.