• Title/Summary/Keyword: 수학적 설명

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An Adaptive Differential Equal Gain Transmission Technique using M-PSK Constellations (M-PSK 성운을 이용한 적응형 차분 동 이득 전송 기술)

  • Kim, Young-Ju;Seo, Chang-Won
    • Journal of the Institute of Electronics and Information Engineers
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    • v.53 no.3
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    • pp.21-28
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    • 2016
  • We propose an adaptive scheme of a differential codebook for temporally correlated channels. And the codeword entries of the propose codebook are selected among the set of M-PSK constellations - the values of M proposed in this paper are 8, 16, or 32. Firstly, we analyze mathematically how the optimal spherical cap radius of the proposed codebook is tracked. Then, we explain the practical implementation of the proposed adaptive method. Practically, some candidate differential codebooks we propose in this paper can be switched according to the temporal correlation coefficients of wireless channels in the proposed scheme. Monte-Carlo simulations demonstrate that the achievable throughput performance employing the proposed codebook is always superior to those of the differential codebooks employing M-PSK constellations and non-adaptive differential codebooks with the same amount of feedback information.

Calibration of a Network Link Travel Cost Function with the Harmony Search Algorithm (화음탐색법을 이용한 교통망 링크 통행비용함수 정산기법 개발)

  • Kim, Hyun Myung;Hwang, Yong Hwan;Yang, In Chul
    • Journal of Korean Society of Transportation
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    • v.30 no.5
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    • pp.71-82
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    • 2012
  • Some previous studies adopted a method statistically based on the observed traffic volumes and travel times to estimate the parameters. Others tried to find an optimal set of parameters to minimize the gap between the observed and estimated traffic volumes using, for instance, a combined optimization model with a traffic assignment model. The latter is frequently used in a large-scale network that has a capability to find a set of optimal parameter values, but its appropriateness has never been demonstrated. Thus, we developed a methodology to estimate a set of parameter values of BPR(Bureau of Public Road) function using Harmony Search (HS) method. HS was developed in early 2000, and is a global search method proven to be superior to other global search methods (e.g. Genetic Algorithm or Tabu search). However, it has rarely been adopted in transportation research arena yet. The HS based transportation network calibration algorithm developed in this study is tested using a grid network, and its outcomes are compared to those from incremental method (Incre) and Golden Section (GS) method. It is found that the HS algorithm outperforms Incre and GS for copying the given observed link traffic counts, and it is also pointed out that the popular optimal network calibration techniques based on an objective function of traffic volume replication are lacking the capability to find appropriate free flow travel speed and ${\alpha}$ value.

Model Study of the Fate of Hydrocarbons in the Soil-Plant Environment (녹지 토양내 탄화수소화합물의 분포변화에 관한 모델링 연구)

  • Yoon-Young Chang;Kyung-Yub Hwang
    • Journal of Korea Soil Environment Society
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    • v.1 no.2
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    • pp.91-101
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    • 1996
  • In recent years, phytoremediation, the use of plants to detoxify hydrocarbons, has been a promising new area of research, particularly in situ cleanup of large volumes of slightly contaminated soils. There is increasing need for a mathematical model that can be used as a predictive tool prior to actual field implementation of such a relatively new technique. Although a number of models exist for solute-plant interaction in the vegetated zone of soil, most of them have focused on ionic nutrients and some metals. In this study, we developed a mathematical model for simulation of bioremediation of hydrocarbons in soil, associated with plant root systems. The proposed model includes root interactions with soil-water and hydrocarbons in time and space, as well as advective and dispersive transport in unsaturated soil. The developed model considers gas phase diffusion and liquid-gas mass exchanges. For simulation of temporal and spatial changes in root behavior on soil-water and with hydrocarbons, time-specific distribution of root quantity through soil was incorporated into the simulation model. Hydrocarbon absorption and subsequent uptake into roots with water were simulated with empirical equations. In addition, microbial activity in the rhizosphere, a zone of unique interaction between roots and soil microorganisms, was modeled using a biofilm theory. This mathematical model for understanding and predicting fate and transport of compound in plant-aided remediation will assist effective application of plant-aided remediation to field contamination.

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Suitability of Counter-current Model for Biogas Separation Processes using Cellulose Acetate Hollow Fiber Membrane (셀룰로오스 아세테이트 중공사 분리막을 이용한 바이오가스 분리에 대한 향류 흐름 모델의 적용성)

  • Jung, Sang-Chul;Kwon, Ki-Wook;Jeon, Mi-Jin;Jeon, Yong-Woo
    • Journal of the Korea Organic Resources Recycling Association
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    • v.28 no.4
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    • pp.43-52
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    • 2020
  • As the membrane gas separation technology grows, various models were developed by numerous researchers to describe the separation process. In this work, the counter-current model was compared thoroughly with experimental data. Experimentally, hollow fiber membrane using CA module was prepared for the separation of biogas. The pure gas permeation properties of membrane module for methane, nitrogen, oxygen, and carbon dioxide were measured. The permeance of CO2 and CH4 were 25.82 GPU and 0.65 GPU, respectively. The high CO2/CH4 selectivity of 39.7 was obtained. the separation test for three different simulated mixed gases were carried out after pure gas test, and the gas concentration of the permeate at various stage-cut were measured from CA membrane module. Results showed that the experimental data agreed with the numerical simulation. A mathematical model has implemented in this study for the separation of biogas using a membrane module. The finite difference method (FDM) is applied to calculate the membrane biogas separation behaviors. Futhermore, the counter-current model can be considered as a convenient model for biogas separation process.

A Mathematics Tutoring Model That Supports Interactive Learning of Problem Solving Based on Domain Principles (공식원리에 기반한 대화식 문제해결 학습을 지원하는 수학교수 모형)

  • Kook, Hyung-Joon
    • The KIPS Transactions:PartB
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    • v.8B no.5
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    • pp.429-440
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    • 2001
  • To achieve a computer tutor framework with high learning effects as well as practicality, the goal of this research has been set to developing an intelligent tutor for problem-solving in mathematics domain. The maine feature of the CyberTutor, a computer tutor developed in this research, is the facilitation of a learning environment interacting in accordance with the learners differing inferential capabilities and needs. The pedagogical information, the driving force of such an interactive learning, comprises of tutoring strategies used commonly in various domains such as phvsics and mathematics, in which the main contents of learning is the comprehension and the application of principles. These tutoring strategies are those of testing learners hypotheses test, providing hints, and generating explanations. We illustrate the feasibility and the behavior of our propose framework with a sample problem-solving learning in geometry. The proposed tutorial framework is an advancement from previous works in several aspects. Firstly, it is more practical since it supports handing of a wide range of problem types, including not only proof types but also finding-unkown tpes. Secondly, it is aimed at facilitating a personal tutor environment by adapting to learners of varying capabilities. Finally, learning effects are maximized by its tutorial dialogues which are derived from real-time problem-solving inference instead of from built-in procedures.

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Particle Size Effects in Buffer System using Calcium Carbonate Bead Immobilized with Alginate for the Cultivation of Bifidobacterium (Alginate에 고정화된 Calcium Carbonate를 이용한 Buffer System에서 비드 크기에 따른 Bifidobacterium의 배양에 대한 효과)

  • Lee, Ki-Yong;Heo, Tae-Ryeon
    • Korean Journal of Food Science and Technology
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    • v.30 no.2
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    • pp.425-433
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    • 1998
  • The characteristics of the reaction of calcium carbonate $(CaCO_3)$ immobilized with alginate as buffer system for the high concentration cultivation of bifidobacteria in fermenter are described by the mathematical model, and tested for the reusing possibility of the used $CaCO_3$ beads. When$CaCO_3$ beads with the various diameters were reacted in 0.1 M of the mixed organic acids (0.6 M of acetic acid and 0.4 M lactic acid) and in fermenter inoculated Bifidobacterium longum ATCC 15707, the change of bead diameters can be calculated with the amount of the decreased $CaCO_3$ from the surface of bead using the mathematical model. These values was similar to the directly measured bead diameter by a micrometer. Therefore, it was considered that the mathematical model could be used for explaining the reaction charateristics of the $CaCO_3$ bead reacted with the organic acids. When Bifidobacterium longum was incubated at $37^{\circ}C$ for 20 hours in fermenter with $CaCO_3$ beads, the buffering effect of $CaCO_3$, the reduce rate of the bead diameter, and the growth rate of Bifidobacterium longum were higher at the smaller beads than beads with the larger diameters. Also, when Bifidobacterium longum was incubated in fermenter with the mixed beads which were added new beads to the recovered beads in order to equalize with the total surface area of initial beads, the buffering effect of $CaCO_3$ bead and the growth rate of Bifidobacterium longum were very corresponded with the results of the fermentation using the only initial beads. Therfore, it is expected that the used beads can be reused by adding the initial beads.

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The Contingent Approach to Landscape Aesthetics (조경미학에서의 우연적 접근)

  • Zoon, Kyon-Sang
    • Journal of the Korean Institute of Landscape Architecture
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    • v.15 no.2
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    • pp.57-66
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    • 1987
  • 본 연구는 경관선호에 관한 평가방법을 서술적으로 구명하면서 기존의 경관선호에 관한 평가방법이 자연적 요소를 많이 포함한 경관의 평가출 정착히 하는데 따르는 문제점을 제시하고 경관의 우연적 국면에 따라 경관선호의 우연성(Contingency in Landscape Preference)을 개관하면서 경관평가의 우연성(Contingency in Landscape Evaluation)에 의한 우연적 경관평가방법(Contingent Approach in Landscape Evaluation)의 가능성을 시사했다. 최근까지의 경관평가방법을 크게 분류하면 총체적(Universal) 접근방법, 개성적(Idiosyncratic) 접근방법, 조화적(Contrastic) 접근방법 등으로 나눌 수 있다. 그런데 경관성에서의 우연성을 강조함 으로써, 앞의 세방법만을 가지고서는 경관의 실체 파악이 어렵기 때문에 새로운 방법이 강구되어야 한다. 이의 한 대안으로 경관선호에 대한 평가를 우연적 접근방법으로 해결함으로써 평가영역과 평가요소를 확장시킬 수 있다. 따라서 수학적 매트릭스가 가능하다는 시사를 본 연구에서 구시하면서 새로운 평가방법으로 우연적 경관평가방법을 제시했다. 우연적 경관평가방법은 우연적 경관성에 의한 심미성을 고려하여 종합적으로 분석할 수 있으나 우연적 영역을 의도적으로 설정하지 않는 한 현실적으로 재정적 흑은 시간적 제약성을 지니고 있다. 그러나, 경관선호의 정도에 관한 평가보다는 경관의 본질을 구성하는 모든 요소를 고려한 평가가 경관선호평가에 대한 종합성을 반영할 수 있다. 경관평가의 모호성에도 불구하고 경관의 본질은 우연성에 의존한다고 본다면 우연적 경관평가방법은 크게 무리가 없다. 결국 경관은 생명성을 지니고 있기 때문에 현상으로만 볼 것이 아니라 동시적이면서 산재적 이며 상황적 다양성으로 간주해야 하며 고러란 관점을 강조한 것이 우연적 경관선호 및 경관평가에 대한 접근이라 할 수 있다.도 나타났다. 직업간의 유의성은 학생과 타 직업간에 나타났다. 직업간의 유의성은 학생과 타 직업간에 현격하게 나타났으나, 개인차를 나타내는 속성적 변수는 상호보완적인 변수기능을 수행하고 있기 때문에 다양한 행동의 설명력있는 이유로 볼 수 없다.때로는 민담에서도 풍수가 주제가 되는 경우가 있고, 일반적으로는 역사적 사실이나 인물을 통하여 취락민이지녀온 자연요소에 대한 인식관 또는 그러한 생활에서 나타나는 윤리관 등이 암암리에 표현되기도 한다. 민담을 통하여 우리는 주민들 의식 속에 남아있는 취락의 중요한 요소나 장소들을 찾아볼수 있고 더불어 이들을 중심으로 이루어 졌을지도 모를 생활모습들을 생각해볼 수 있다. 이러한 것들은 $\ulcorner$순응$\lrcorner$의 다른 일면 또는 때에 따라서는 극히 의도적인 $\ulcorner$표현$\lrcorner$적인 한 면모 - 그 대표적인 경우로 정원을 구성하는데 개재된 인간의 의미는 무언가를 표현 또는 표출하고자 함에 있다는 점 -라 볼수도 있을, 예로써 성리학적 사고관념으로써 집과 정사 그리고 주변 경관을 자신의 내적본직 또는 윤리적 영역으로 삼아 묘사.표현.구체화 시켜가기도 한다. 최소한 동족부락의 한두 예들에서 그러한 $\ulcorner$표현$\lrcorner$적 의도에 의한 경관구성의 일면을 확인할수 있지만 엄밀히 생각하여 보면 이러한 예의 경우도 최락의 총체적인 외형은 마찬가지로 $\ulcorner$순응$\lrcorner$의 범위를 벗어나지 않는다. 그렇기 때문에도 $\ulcorner$순응$\lrcorner$$\ulcorner$표현$\lrcorner$의 성격과 형태를 외형상으로 더욱이 공간상에서는 뚜렷하게

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A study on the teaching of proofs based on Freudenthal's guided reinvention principle (Freudenthal의 안내된 재발명 원리를 적용한 증명 지도 방안에 대한 연구)

  • Han, Hye-Sook;Moon, Su-Jin
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.85-108
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    • 2009
  • The purposes of the study were to develop instructional materials based on Freudenthal's guided reinvention principle for teaching proofs and to investigate how the teaching method based on guided reinvention principle affects on 8th grade students' ability to write proofs and learning attitude toward proofs. Teaching based on guided reinvention principle placed emphasis on providing students opportunities to make a mathematical statement and prove the statement by themselves throughout various activities such as exploring, conjecturing, and testing the conjectures. The study found that students who studied proving with instructional materials developed by guided reinvention principle showed statistically higher mean scores on the posttest than students who studied by a traditional teaching method depending onteacher's explanation. Especially, on the posttest item which requested to prove a whole statement without presenting a picture corresponding to the statement, a big difference among students' responses was found. Many more students in the traditional group did not provide any response on the item. According to the results of the questionnaire regarding students' learning attitudes, the group who studied proving by guided reinvention principle indicated relatively more positive attitudes toward learning proofs than the counterparts.

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A Study on the Transformation of Algebraic Representation and the Elaboration for Grade 7 (중학교 1학년 학생의 대수적 표상 전환 및 정교화 연구)

  • Lee, Kyong Rim;Kang, Jeong Gi;Roh, Eun Hwan
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.507-539
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    • 2014
  • The algebra is an important tool influencing on a mathematics in general. To make good use of the algebra, it is necessary to transfer from a given situation to a proper algebraic representation. But some research in related to algebraic word problems have reported the difficulty changing to a proper algebraic representation. Our study have focused on transformation and elaboration of algebraic representation. We investigated in detail the responses and perceptions of 29 Grade 7 students while transforming to algebraic representation, only concentrating on the literature expression form the problematic situations given. Most of students showed difficulties in transforming both descriptive and geometric problems to algebraic representation. 10% of them responded wrong answers except only a problem. Four of them were interviewed individually to show their thinking and find the factor influencing on a positive elaboration. As results, we could find some characteristics of their thinking including the misconception that regard the problem finding a functional formula because there are the variables x and y in the problematic situation. In addition, we could find the their fixation which student have to set up the equation. Furthermore we could check that making student explain own algebraic representation was able to become the factor influencing on a positive elaboration. From these, we also discussed about several didactical implications.

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Against Skepticism: Doubt and Belief in C. S. Peirce and Michael Polanyi (찰스 S. 퍼스와 마이클 폴라니의 회의론과 믿음(belief)에 대한 비교 연구)

  • Kim, Dong Ju
    • 기호학연구
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    • no.54
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    • pp.7-36
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    • 2018
  • Michael Polanyi's idea of tacit knowledge came from the realization that scientific objectivity and critical philosophy had become too restrictive for philosophy, especially in the realm of meaning, which is beyond positivistic proof and contains more non-critical elements than critical ones. In social life, people still share certain kinds of knowledge and beliefs which they obtain without making or learning those explicitly. Contemplating the role and significance of tacit knowledge, he called for a post-critical philosophy that integrates the realm of meaning and thereby appreciates the intertwined nature of tacit and explicit knowledge. Polanyi's position towards skepticism and doubt shows similarities with Charles S. Peirce's thinking about the relationship between belief and doubt. Although Peirce's semeiotics stands firmly in the tradition of critical philosophy, he affirms that doubt cannot be a constant state of mind and only belief can form a basis for a specific way of life. Polanyi's approach differs from Peirce's by focusing on the impossibility of scientific knowledge based solely on principles and precision, and his emphasis on the crucial role of the community of scientists. Nevertheless, the deeper implications of Peirce's contemplations on belief and doubt have myriad ramifications on the philosophy of science as well as the sociology of science.