• Title/Summary/Keyword: Concept Sequence

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G'-SEQUENCE OF A MAP

  • Yoon, Yeon Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.1
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    • pp.39-47
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    • 2009
  • Pan, Shen and Woo [8] introduced the concept of the G-sequence of a map. We introduce the G'-sequence of a map, which is a dual concept of the G-sequence of a map. We obtain some sufficient conditions for the all sets in the G'-sequence of a map are groups, and for the exact G'-sequence of a map.

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LACUNARY STATISTICAL CONVERGENCE FOR SEQUENCE OF SETS IN INTUITIONISTIC FUZZY METRIC SPACE

  • KISI, OMER
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.69-83
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    • 2022
  • We investigate the concept of lacunary statistical convergence and lacunary strongly convergence for sequence of sets in intuitionistic fuzzy metric space (IFMS) and examine their characterization. We obtain some inclusion relation relating to these concepts. Further some necessary and sufficient conditions for equality of the sets of statistical convergence and lacunary statistical convergence for sequence of sets in IFMS have been established. The concept of strong Cesàro summability in IFMS has been defined and some results are established.

Inference and estimation using experience-based knowledge

  • Sakai, Y.
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.636-641
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    • 1992
  • In the human cognitive activity, experiencing plays a basic role. This is modeled by the idea of experience sequence here, which has been proposed by the author for the incorporation of the factor of experiencing in man-machine communication. Experience sequence is for modeling the human concept formation through experiencing. Knowledge manipulation requires concept understanding as its basis. An experience sequence deals with such a process of concept formation.

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A Case Study on Students' Concept Images of the Uniform Convergence of Sequences of Continuous Functions

  • Jeong, Moonja;Kim, Seong-A
    • Research in Mathematical Education
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    • v.17 no.2
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    • pp.133-152
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    • 2013
  • In this research, we investigated students' understanding of the definitions of sequence of continuous functions and its uniform convergence. We selected three female and three male students out of the senior class of a university and conducted questionnaire surveys 4 times. We examined students' concept images of sequence of continuous functions and its uniform convergence and also how they approach to the right concept definitions for those through several progressive questions. Furthermore, we presented some suggestions for effective teaching-learning for the sequences of continuous functions.

The Compositions of Approaching Sequence in Exterior Space of Tadao Ando′s Works (안도 타다오 건축의 외부공간에 나타난 진입시퀀스의 구성방식)

  • 문정민;안우진;고성룡
    • Korean Institute of Interior Design Journal
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    • no.29
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    • pp.27-34
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    • 2001
  • The concept of homogeneous space which was made in during the modern architecture was criticize for making our circumstances uniformly. The difference of place disappeared. The concept of place, however, has been watching in Contemporary Architecture. A basis for the concept of place is 'movement in space'through the sense of the body. Thus, architectural methods for experiencing place are composing the sequence through the continuous time. It is important that the composition of sequences in place makes the spatial experiences with harmonies of architecture and environments in exterior space for people who enter the building. Tadao Ando makes place in terms of experiencing body. Compositions of sequence in his works are expressed very well at the approaching stages in the process of exterior space. This stud is to survey the compositions of approaching sequence in Tadao Ando's Works.

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THE SEQUENTIAL ATTAINABILITY AND ATTAINABLE ACE

  • Kang, Buhyeon
    • Korean Journal of Mathematics
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    • v.26 no.4
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    • pp.757-775
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    • 2018
  • For any non-negative real number ${\epsilon}_0$, we shall introduce a concept of the ${\epsilon}_0$-dense subset of $R^m$. Applying this concept, for any sequence {${\epsilon}_n$} of positive real numbers, we also introduce the concept of the {${\epsilon}_n$}-attainable sequence and of the points of {${\epsilon}_n$}-attainable ace in the open subset of $R^m$. We also study the characteristics of those sequences and of the points of {${\epsilon}_n$}-dense ace. And we research the conditions that an {${\epsilon}_n$}-attainable sequence has no {${\epsilon}_n$}-attainable ace. We hope to reconsider the social consideration on the ace in social life by referring to these concepts about the aces.

Study on Visual Patterns about Spatial Dimensions - Centered on the Golden Ratio, Fibonacci Sequence, and Fractal Theory - (공간 차원에 관한 시각적 패턴 연구 - 황금비, 피보나치 수열, 프랙털 이론을 중심으로 -)

  • Kim, Min-Suk;Kim, Kai-Chun
    • Korean Institute of Interior Design Journal
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    • v.23 no.1
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    • pp.88-95
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    • 2014
  • This study intended arousal of other viewpoints that deal with and understand spaces and shapes, by describing the concept of 'dimensions' into visual patterns. Above all, the core concept of spatial dimensions was defined as 'expandability'. Then, first, the 'golden ratio', 'Fibonacci sequence', and 'fractal theory' were defined as elements of each dimension by stage. Second, a 'unit cell' of one dimension as 'minimum unit particles' was set. Next, Fibonacci sequence was set as an extended concept into two dimensions. Expansion into three dimensions was applied to the concept of 'self-similarity repetition' of 'Fractal'. In 'fractal dimension', the concept of 'regularity of irregularity' was set as a core attribute. Plus, Platonic solids were applied as a background concept of the setting of the 'unit cell' from the viewpoint of 'minimum unit particles'. Third, while 'characteristic patterns' which are shown in the courses of 'expansion' of each dimension were embodied for the visual expression forms of dimensions, expansion forms of dimensions are based on the premise of volume, directional nature, and concept of axes. Expressed shapes of each dimension are shown into visually diverse patterns and unexpected formative aspects, along with the expression of relative blank spaces originated from dualism. On the basis of these results, the 'unit cell' that is set as a concept of theoretical factor can be defined as a minimum factor of a basic algorism caused by other purpose. In here, by applying diverse pattern types, the fact that meaning spaces, shapes, and dimensions can be extracted was suggested.

International Comparison of Contents about Particle Concept in National Science Curricula (국가 수준 과학과 교육과정의 입자 관련 내용 국제 비교)

  • Kim, Dong-Hyun;Kim, Hyo-Nam
    • Journal of Korean Elementary Science Education
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    • v.31 no.2
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    • pp.164-176
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    • 2012
  • The purpose of this study was to find some suggestions for reorganization of contents about particle concept of matter in Korean science curriculum. For the purpose of this study, authors analyzed features of Korean science curriculum and compared science curricula of Korea, USA, UK, Japan and Finland. From the result of this study, authors find some features and important suggestions about reorganization of contents about particle in science curriculum. First, the sequence of contents about particle concepts in 2009 Revised National Curriculum was similar to that in the 6th National Science Curriculum. And the feature of 2009 Revised National Curriculum showed the articulation of contents about particle concept. If contents about particle concept is increased in elementary science curriculum, the total articulation would be increased. Second, the presenting sequence of atomic structure-first and laws about atom-later should be changed to laws about atomic-first and atomic structure-later. This presenting sequence is grounded by science curricula of other countries, history of science and developmental psychology. And science curriculum of Korea was required specific extended concept statement like science curricula of USA or UK. Also, Korean science curriculum could benchmark Finnish science curriculum if we want to develop some integrated learning activities such as those in STS or STEAM program.

ON THE GENERALIZED BANACH SPACES

  • Kang, Buhyeon
    • Korean Journal of Mathematics
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    • v.27 no.3
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    • pp.707-722
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    • 2019
  • For any non-negative real number ${\epsilon}_0$, we shall introduce a concept of the ${\epsilon}_0$-Cauchy sequence in a normed linear space V and also introduce a concept of the ${\epsilon}_0$-completeness in those spaces. Finally we introduce a concept of the generalized Banach spaces with these concepts.