• Title/Summary/Keyword: equivalence relations

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Study on Mechanism of Combustion Instability in a Dump Gas Turbine Combustor (모형가스터빈 연소기내 연소불안정성에 대한 연구)

  • Lee, Jong-Ho;Lee, Yeon-Ju;Jeon, Chung-Hwan;Jang, Yeong-Jun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.26 no.9
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    • pp.1284-1291
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    • 2002
  • Combustion instabilities are an important concern associated with lean premixed combustion. Laboratory-scale dump combustor was used to understand the underlying mechanisms causing combustion instabilities. Experiments were conducted at atmospheric pressure and sound level meter was used to track the pressure fluctuations inside the combustor. Instability maps and phase-resolved OH chemiluminescence images were obtained at several conditions to investigate the mechanism of combustion instability and relations between pressure wave and heat release rate. It showed that combustion instability was susceptible to occur at higher value of equivalence ratio (>0.6) as the mean velocity was decreased. Instabilities exhibited a longitudinal mode with a dominant frequency of ∼341.8 Hz, which corresponded to a quarter wave mode of combustor. Heat release and pressure waves were in-phase when instabilities occurred. Rayleigh index distribution gave a hint about the location where the strong coherence of pressure and heat release existed. These results also give an insight to the control scheme of combustion instabilities. Emission test revealed that NOx emissions were affected by not only equivalence ratio but also combustion instability.

Analysis of Articles Related STEAM Education using Network Text Analysis Method (네트워크 텍스트 분석법을 활용한 STEAM 교육의 연구 논문 분석)

  • Kim, Bang-Hee;Kim, Jinsoo
    • Journal of Korean Elementary Science Education
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    • v.33 no.4
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    • pp.674-682
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    • 2014
  • This study aims to analyze STEAM-related articles and to look into the trend of research to present implications for research directions in the future. To achieve the research purpose, the researcher searched by key words, 'STEAM' and 'Convergence Education' through the RISS. Subjects of analysis were titles of 181 articles in journal articles and conference papers published from 2011 through 2013. Through an analysis of the frequency of the texts that appeared in the titles of the papers, key words were selected, the co-occurrence matrix of the key words was established, and using network maps, degree centrality and betweenness centrality, and structural equivalence, a network text analysis was carried out. For the analysis, KrKwic, KrTitle, UCINET and NetMiner Program were used, and the results were as follows: in the result of the text frequency analysis, the key words appeared in order of 'program', 'development', 'base' and 'application'. Through the network among the texts, a network built up with core hubs such as 'program', 'development', 'elementary' and 'application' was found, and in the degree centrality analysis, 'program', 'elementary', 'development' and 'science' comprised key issues at a relatively high value, which constituted the pivot of the network. As a result of the structural equivalence analysis, regarding the types of their respective relations, it was analyzed that there was a similarity in four clusters such as the development of a program (1), analysis of effects (2) and the establishment of a theoretical base (1).

Boundary conditions of mode-matching technique in terms of a waveguide step (도파관 스텝 관점에서의 모드정합법 경계조건)

  • Cho, Yong-Heui
    • Proceedings of the Korea Contents Association Conference
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    • 2006.11a
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    • pp.455-457
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    • 2006
  • The mutual relations and equivalence between the boundary conditions for electromagnetic waves are discussed in terms of a waveguide step. In order to verify our approach, the reflection characteristics of a rectangular waveguide step are compared with respect to the boundary conditions. The characteristics of a rectangular waveguide step are analyzed with a mode-matching technique. In order to verify our approach, convergence behaviors and electromagnetic distributions are shown.

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Partial Sum of Fourier series, the Reinterpret of $L^1$-Convergence Results using Fourier coefficients and theirs Minor Lineage (푸리에 급수의 부분합, 푸리에 계수를 이용한 $L^1$-수렴성 결과들의 재해석과 그 소계보)

  • Lee, Jung-Oh
    • Journal for History of Mathematics
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    • v.23 no.1
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    • pp.53-66
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    • 2010
  • This study concerns with partial sum of Fourier series, Fourier coefficients and the $L^1$-convergence of Fourier series. First, we introduce the $L^1$-convergence results. We consider equivalence relations of the partial sum of Fourier series from the early 20th century until the middle of. Second, we investigate the minor lineage of $L^1$-convergence theorem from W. H. Young to G. A. Fomin. Finally, we compare and reinterpret the $L^1$-convergence theorems.

Intuitionistic fuzzy interior ideals in ordered semigroup

  • Park, Chul-Hwan
    • Journal of the Korean Institute of Intelligent Systems
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    • v.17 no.1
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    • pp.118-122
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    • 2007
  • In this paper, we consider the intuitionistic fuzzification of the notion of a interior ideal in ordered semigroup S, and investigate some properties of such ideals. In terms of intuitionistic fuzzy set, characterizations of intuitionistic fuzzy interior ideals in ordered semigroups are discussed. Using a collection of interior ideals with additional conditions, an intuitionistic fuzzy interiror ideal is constructed. Natural equivalence relations on the set of all intuitionistic fuzzy interior ideals of an ordered semigroup are investigated. We also give a characterization of a intuitionistic fuzzy simple semigroup in terms of intuitionistic fuzzy interior ideals.

Electrically Induced Damping Characteristics and a Relevant Requirement for the Maximum Power Generation in Piezoelectric Vibration Energy Harvesters (압전 진동 에너지 수확 장치의 전기 유발 감쇠 특성 및 최대 전력 발생 조건)

  • Kim, Jae Eun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.6
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    • pp.406-413
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    • 2015
  • The piezoelectric coupling in piezoelectric vibration energy harvesters with load resistance induces electrical damping as well as increase in the system stiffness. Starting from analytically deriving the explicit relations through governing equations in the frequency domain, this work identifies the characteristics of the electrically induced damping mechanism and shows that the electrically induced damping serves as a structural hysteretic damping on condition that a piezoelectric vibration energy harvester is excited at its short-circuit resonant frequency and its load resistor is optimally impedance- matched at the same time. Finally, it is analytically verified that the equivalence of a mechanical and an electrically induced damping ratio is required for the maximum power generation at a load resistor, which was claimed in some literature.

Formal Method for Specification and Verification of Behavioral Equivalences of Real-time Navigation and Transportation Systems Based on Abstraction (추상화에 기반을 둔 실시간 항법 및 배송 시스템의 명세 및 행위적 동일성 검증을 위한 정형 기법)

  • Lee, Moon-Kun;Choi, Jung-Rhan
    • The Journal of the Korea Contents Association
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    • v.6 no.11
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    • pp.202-216
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    • 2006
  • A number of process algebras are not well suitable for real-time navigation/delivery systems due to the following reasons: 1) lack of representation of process distributivity over some geographical space and 2) the indistinction of representation of process mobility from process distributivity over the space. To make the process algebra suitable to the systems, it seems to be necessary to separate the space representation from the mobility representation. This paper presents a formal method for this purpose, namely, Calculus of Abstract Real-Time Distribution, Mobility, and Interaction (CARDMI). For analysis and verification of behavioral properties, CARDMI defines a set of the spatial, temporal and the interactive deduction rules and a set of equivalence relations. The rules and equivalences can be abstracted hierarchically due to the spatial abstraction, too. CARDMI can be applied to virtual navigation/delivery system for contents, too.

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A Calculus of Real-Time Distribution, Mobility and Interaction for Tracing Mobile Agents with Transporting Objects (객체전송 이동체의 추적을 위한 실시간 분산, 이동, 상호작용)

  • Choi, Jung-Rhan;Lee, Moon-Kun
    • Journal of Internet Computing and Services
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    • v.8 no.2
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    • pp.1-13
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    • 2007
  • GPS/GIS and RFID technologies have been changing the paradigm af our society toward ubiquitous era. Especially, geographically distributed mobile agents with transporting objects need to be automatically recognizable and traceable under certain conditions. To do this, fundamental theories and technologies are required to specify and verify spatial and temporal behaviors of agents on geographical space. This paper presents a new formal method, called Calculus of Real-Time Distribution, Mobility, and Interaction (CaRDMI), for this purpose. For specification, CaRDMI defines a map, mobile agents with transporting objects. The movement of on agent is represented by a path on the map, consisting of a list of nodes and a list of edges with spatial and temporal constraints. Interactive constraints among agents are represented by synchronization modes on objects at nodes. These constraints are distinguishable features of CaRDMI from other methods. Especially, many-to-many timed synchronization constraints are noticeable. For verification, CaRDMI presents the spatial, temporal and interactive deduction rules and the spatial and temporal equivalence relations.

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A Discussion on the Terms Related to ratio and rate from the Revised 2007 Curriculum textbook (초등학교 2007 개정 교과서 비와 비율 관련 용어에 대한 고찰)

  • Hong, Gap Ju
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.285-295
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    • 2013
  • In this study I examine the definitions of terms related to ratio and rate from 5, 6, 7th revised elementary school math textbooks to discuss the improvements and the remained problems in 2007 curriculum textbook. Next, I make the alternative definitions of the terms, 'biyoul', the value of 'bi', and 'baekboonyul' by re-establishing the relations between them. Finally, I point out that those problems are intrinsic to the attempt of the textbook to introduce the terms related to ratio with little consideration for the mathematical meaning of ratio as a equivalence class.

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Quantities, Degrees, and Possible Worlds - Lexical Semantics of Korean Adverb '거의(geoui)' (양(quantity), 정도(degree), 가능세계 - 부사 '거의'의 어휘의미를 중심으로 -)

  • Kim, Shin-Hwe
    • Language and Information
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    • v.15 no.2
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    • pp.47-65
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    • 2011
  • A Korean adverb '거의(geoui)' modifies predicates to generate complex predicates which have meanings of 'nearly' complete or typical properties of the modified predicates in quantities, degrees, and frequencies. The modified predicates 'complete' or 'typical' properties are referred counterfactually as standards for the generated predicates' meanings of deficiencies. These counterfactual standards can be formalized by a counterfactual conditional operator of the intensional semantics in Cresswell(1990). The deficiencies in the quantities, degrees, or frequencies of the properties can be expressed formally introducing a world-independent measure of comparison. The measure can be manufactured out of relations between intensional things at indices and their equivalence classes. The world-independent measure of comparison has a semantic structure under-specified in quantity, degree, and frequency, and seems very well-suited in describing lexical meaning of '거의(geoui)'. The lexical-semantic analysis of '거의(geoui)' shows explicitly the plausibility of the indispensable existence of the comparing measure which works across real and counterfactual worlds in natural language meaning. On the other hand, we examined Kim, young-hee(1985)'s proposal of a transition of quantificational meaning for Korean degree adverbs, where he tried to explain the quantificational meaning of Korean degree adverbs in general including '거의(geoui)' with several syntactic and semantic constraints of 'contextual deletion'. But it is shown that the quantificational meanings of the degree adverbs which Kim(1985) discussed are also explained better by their under-specified meanings in quantities, frequencies and degrees with the world-independent measure of comparison applied to their paradigmatic lexical constraint rather than Kim(1985)'s transition of meaning.

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