• Title/Summary/Keyword: continuous map

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MAPPING THEOREMS ON $X_1$${\circled{+}}$X_2$

  • Kim, Jae-Woon
    • The Pure and Applied Mathematics
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    • v.4 no.2
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    • pp.115-119
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    • 1997
  • We show that if $f_{i}$:$X_{i}$ longrightarrow Y is strongly continuous(resp. weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly $\theta$-continuous, $\theta$-continuous, g-continuous, V-map), then F : $X_1 \bigoplus X_2$longrightarrow Y is strongly continuous(resp.weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly $\theta$-continuous, $\theta$-continuous, g-continuous, V-map).

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System Design for Producing of Object-oriented Continuous Digital Map (객체형 연속수치지도 제작을 위한 시스템 설계)

  • Heo, Min;Park, Joung-Hyun;Yoon, Jong-Seong;Park, Myong-Jin
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2009.04a
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    • pp.75-78
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    • 2009
  • As a digital map is tile based of 2D, it is difficult to be satisfied with accuracy and up-to-date. In this study, we analyzed requirements of an object-oriented continuous digital map and designed the system. The digital map is 3D continuous object and has the accuracy and up-to-date, and designs with management system, transfer system, change information management system, frequent updating system and, same time updating system.

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Continuity of directional entropy for a class of $Z^2$-actions

  • Park, Kyewon-K.
    • Journal of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.573-582
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    • 1995
  • J.Milnor[Mi2] has introduced the notion of directional entropy in his study of Cellular Automata. Cellular Automaton map can be considered as a continuous map from a space $K^Z^n$ to itself which commute with the translation of the lattice $Z^n$. Since the space $K^Z^n$ is compact, map S is uniformly continuous. Hence S is a block map(a finite code)[He]. (S is said to have a finite memory.) In the case of n = 1, we have a shift map, T on $K^Z$, and a block map S and they together generate a $Z^2$ action.

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Case Analysis and Systematic Improvement Method of the Land Use Zoning Map Conversion according to the Quality Upgrade of Continuous Cadastral Map (연속지적도 품질개선에 따른 용도지역지구도의 전환사례 분석 및 제도적 개선방안)

  • Jeong, Dong-Hoon;Yun, Jung-Hwan;Lim, Dea-Suk;Yang, Chol-Soo
    • Spatial Information Research
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    • v.18 no.1
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    • pp.27-37
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    • 2010
  • As a pilot project of the National Spatial Data Infrastructure, "Quality upgrade of continuous cadastral map and Conversion of land use zoning map" is performed last year. In this study, for the following main project, its result is analyzed and problems occurred on the way carried out are extracted. The area change before and after conversion is compared, and relationship with the continuous cadastral map is analysed on the data of Ansung-Si. And than, systematic improvement method is suggested based on that problem.

The accuracy analysis on continuance cadastral map matching with Autodesk Map 5 (Autodesk Map 5을 이용한 연속지적도 접합에 대한 정확도 분석)

  • Kim, Kam-Lae;Ra, Yoong-Hwa;Park, Jun
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2003.10a
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    • pp.49-54
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    • 2003
  • As of date, the cadastral information which is the utility to be computerized have not been identical with local autonomous entities and relational groups each other and updated real-time, therefore the relation group or the academic circles carried out in many researches on a cadastral map matching, but the cadastral maps have not been even occurred the expansion and contraction so that the theory arrangement doesn't seem simple as to a cadastral map matching. As being take such reality into consideration, We have to be based on $\boxDr$construction ministry of the rules for continuous map$\boxUl$ for a continuous cadastral map with using PBLIS data; so the operators use Autodesk Map 5 which added applications and match the neat line by the identical scale, the different scale, the district boundary and the origin according to the judgement myself We have the purpose to minimize the problem as analyzing the accuracy between the parcel coordinates If the matched map and ones of moved map.

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A Study on the Continuous Cadastral Map Compilation with Digital Camera Image (디지털 항공영상을 이용한 연속지적도 편집에 관한 연구)

  • Lee, Jae-One;Lee, Seung-Bok
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2010.04a
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    • pp.259-261
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    • 2010
  • This paper describes the results and possibility of continuous cadastral map compilation with digital camera image. A high quality serial cadastral map can be produced and work efficiency can be increased with using digital aero-photogrammetry when edge matching method could be used to match digital cadastral map.

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NOTES ON THE EVENTUAL SHADOWING PROPERTY OF A CONTINUOUS MAP

  • Lee, Manseob
    • Journal of the Chungcheong Mathematical Society
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    • v.30 no.4
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    • pp.381-385
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    • 2017
  • Let (X, d) be a compact metric space with metric d and let f : $X{\rightarrow}X$ be a continuous map. In this paper, we consider that for a subset ${\Lambda}$, a map f has the eventual shadowing property if and only if f has the eventual shadowing property on ${\Lambda}$. Moreover, a map f has the eventual shadowing property if and only if f has the eventual shadowing property in ${\Lambda}$.

Quasi-Valuation Maps on BCK/BCI-Algebras

  • SONG, SEOK-ZUN;ROH, EUN HWAN;JUN, YOUNG BAE
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.859-870
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    • 2015
  • The notion of quasi-valuation maps based on a subalgebra and an ideal in BCK/BCI-algebras is introduced, and then several properties are investigated. Relations between a quasi-valuation map based on a subalgebra and a quasi-valuation map based on an ideal is established. In a BCI-algebra, a condition for a quasi-valuation map based on an ideal to be a quasi-valuation map based on a subalgebra is provided, and conditions for a real-valued function on a BCK/BCI-algebra to be a quasi-valuation map based on an ideal are discussed. Using the notion of a quasi-valuation map based on an ideal, (pseudo) metric spaces are constructed, and we show that the binary operation * in BCK-algebras is uniformly continuous.

An Improved MAP-Elites Algorithm via Rotational Invariant Operator in Differential Evolution for Continuous Optimization (연속 최적화를 위한 개선된 MAP-Elites 알고리즘)

  • Tae Jong Choi
    • Smart Media Journal
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    • v.13 no.2
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    • pp.129-135
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    • 2024
  • In this paper, we propose a new approach that enhances the continuous optimization performance of the MAP-Elites algorithm. The existing self-referencing MAP-Elites algorithm employed the "DE/rand/1/bin" operator from the differential evolution algorithm, which, due to its lack of rotational invariance, led to a degradation in optimization performance when there were high correlations among variables. The proposed algorithm replaces the "DE/rand/1/bin" operator with the "DE/current-to-rand/1" operator. This operator, possessing rotational invariance, ensures robust performance even in cases where there are high correlations among variables. Experimental results confirm that the proposed algorithm performs better than the comparison algorithms.