• Title/Summary/Keyword: line graphs

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Mathematising process analysis of linear function concept based on Freudenthal's didactical phenomenology (Freudenthal의 교수학적 현상학에 기반한 일차함수 개념 수학화 과정 사례 분석)

  • Kim, Eun suk;Cho, Wan Young
    • The Mathematical Education
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    • v.61 no.3
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    • pp.419-439
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    • 2022
  • This study is based on Freudenthal's mathmatising process and the didactical phenomenology of linear function concept, I have described and examined the process in which students represent the constant rate of change into tables, graphs and equations and, in this way, how they construct mental objects and essence of the linear function concept. The students used the proportionality as composite units, when they represented the phenomenon with constant rate of change into tables. When representing in graphs, all but one student represented it into a line. There were differences among the students in the level they were using the given conditions, co-variation perspective, and corresponding rules when formulating equations. The students compared the relationship between two variables in a multiplicative way, and under the guidance of teachers they reached to the understanding that its relationship becomes a constant. Moreover, they could construct mental objects of a constant rate of change, understanding the situation where the relationship between time difference and distance difference becomes one value, namely speed. The students had difficulties in connecting the rate of change with the inclination of a line. The students constructed the essence (concept) of linear functions, after building and organizing the image that the rate of change is constant, the graph is linear, and the equation is formulated as y=ax+b (a: inclination, b: intercept).

Graph-based High-level Motion Segmentation using Normalized Cuts (Normalized Cuts을 이용한 그래프 기반의 하이레벨 모션 분할)

  • Yun, Sung-Ju;Park, An-Jin;Jung, Kee-Chul
    • Journal of KIISE:Software and Applications
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    • v.35 no.11
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    • pp.671-680
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    • 2008
  • Motion capture devices have been utilized in producing several contents, such as movies and video games. However, since motion capture devices are expensive and inconvenient to use, motions segmented from captured data was recycled and synthesized to utilize it in another contents, but the motions were generally segmented by contents producers in manual. Therefore, automatic motion segmentation is recently getting a lot of attentions. Previous approaches are divided into on-line and off-line, where ow line approaches segment motions based on similarities between neighboring frames and off-line approaches segment motions by capturing the global characteristics in feature space. In this paper, we propose a graph-based high-level motion segmentation method. Since high-level motions consist of repeated frames within temporal distances, we consider similarities between neighboring frames as well as all similarities among all frames within the temporal distance. This is achieved by constructing a graph, where each vertex represents a frame and the edges between the frames are weighted by their similarity. Then, normalized cuts algorithm is used to partition the constructed graph into several sub-graphs by globally finding minimum cuts. In the experiments, the results using the proposed method showed better performance than PCA-based method in on-line and GMM-based method in off-line, as the proposed method globally segment motions from the graph constructed based similarities between neighboring frames as well as similarities among all frames within temporal distances.

The Development of an Instrument for the Measurement of Science Process Skills Using Line Graphs (그래프를 이용한 과학 탐구 능력 검사 도구의 개발)

  • Moon, Choong-Sik
    • Journal of The Korean Association For Science Education
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    • v.18 no.4
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    • pp.545-555
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    • 1998
  • The improvement of process skills has been one of the most important goals in secondary science education. To achieve this goal, it is essential to develop an instrument for evaluating inquiry skills in addition to improving science curricula, inquiry teaching methods, and other educational environment. There are a lot of instruments in testing science process skills in Korea as well as America and Europe. However, it has been difficult to find the instruments that have a characteristic in content and form. The purpose of this study is to develop a valid and reliable instrument for evaluating science process skills using line graph. This study examined the whole body of scientific process and identified 6 component skills. Three or four items for each component process skills were developed and revised by pilot test and field test. The instrument is considered valid and reliable, for the content validity is 78% and the reliability(KR-20) is 0.82. The discrimination index is 0.57 and difficulty index is 0.47, which also suffice the criteria of good test.

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Seepage Analysis of Weathered Granite Model Embankment Using TDR Sensor (분포형 TDR센서를 이용한 화강풍화토 대형모형제방의 침투거동 해석)

  • Kim, Jin-Man;Park, Min-Cheol;Jo, Won-Beom;Han, Heui-Soo
    • Journal of the Korean Geotechnical Society
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    • v.30 no.3
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    • pp.17-28
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    • 2014
  • In this study, the seepage behavior has been analyzed, which is the most important in determining the stability of the embankment. Large-scale embankment of weathered granite has been installed and TDR (time domain reflectory) sensors were used to detect the seepage lines. The TDR graphs could be separated into 3 sections, which are initial, unsaturated and saturated zones. TDR sensor can detect seepage line more easily than point sensor without analysis. Comparisons of the results of numerical analyses and the TDR sensors showed differences at water level rising condition, and then Comparisons of the results generally showed good agreement at another condition.

Program Development for Wideband Channel Sounding and Analysis (광대역 채널 측정 및 분석을 위한 프로그램 개발)

  • Ko Geo Da;Park Noh Joon;Kang Young Jin;Song Moon Kyou
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.2
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    • pp.380-385
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    • 2006
  • In this paper, a program that can be utilized to measure and analyze radio propagation characteristics is developed. This program is able to control the measurement instruments including spectrum analyzer through GPIB interface and analyze the measured data to yield mean excess delay and RMS delay spread. The measured path loss can be compared with theoretical value in free space or inside a tunnel. The measured and analyzed results can also be presented in the forms of graphs. As these tasks can be conducted on the spot of the measurements, this program is very helpful in performing and verifying the measurements immediately. In this thesis radio propagation characteristics with frequency bands of 2.45 and 5.8GHz in subway tunnels are measured by using the program. Path loss and delay spread in subway tunnel is measured and compared according to the form of antenna beam and LOS(Line of Sight) and N-LOS(Non-Line of Sight).

Proposal of Analysis Method for Biota Survey Data Using Co-occurrence Frequency

  • Yong-Ki Kim;Jeong-Boon Lee;Sung Je Lee;Jong-Hyun Kang
    • Proceedings of the National Institute of Ecology of the Republic of Korea
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    • v.5 no.3
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    • pp.76-85
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    • 2024
  • The purpose of this study is to propose a new method of analysis focusing on interconnections between species rather than traditional biodiversity analysis, which represents ecosystems in terms of species and individual counts such as species diversity and species richness. This new approach aims to enhance our understanding of ecosystem networks. Utilizing data from the 4th National Natural Environment Survey (2014-2018), the following eight taxonomic groups were targeted for our study: herbaceous plants, woody plants, butterflies, Passeriformes birds, mammals, reptiles & amphibians, freshwater fishes, and benthonic macroinvertebrates. A co-occurrence frequency analysis was conducted using nationwide data collected over five years. As a result, in all eight taxonomic groups, the degree value represented by a linear regression trend line showed a slope of 0.8 and the weighted degree value showed an exponential nonlinear curve trend line with a coefficient of determination (R2) exceeding 0.95. The average value of the clustering coefficient was also around 0.8, reminiscent of well-known social phenomena. Creating a combination set from the species list grouped by temporal information such as survey date and spatial information such as coordinates or grids is an easy approach to discern species distributed regionally and locally. Particularly, grouping by species or taxonomic groups to produce data such as co-occurrence frequency between survey points could allow us to discover spatial similarities based on species present. This analysis could overcome limitations of species data. Since there are no restrictions on time or space, data collected over a short period in a small area and long-term national-scale data can be analyzed through appropriate grouping. The co-occurrence frequency analysis enables us to measure how many species are associated with a single species and the frequency of associations among each species, which will greatly help us understand ecosystems that seem too complex to comprehend. Such connectivity data and graphs generated by the co-occurrence frequency analysis of species are expected to provide a wealth of information and insights not only to researchers, but also to those who observe, manage, and live within ecosystems.

Miniaturized Microstrip Dual Band-Stop Filter Using Stepped Impedance Resonators (계단형 임피던스 공진기를 이용한 소형화된 마이크로스트립 이중 대역 저지 필터)

  • Kim, Gi-Rae;Park, Young-Bae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.8
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    • pp.1653-1658
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    • 2011
  • A novel circuit structure of dual-band bandstop filters is proposed in this paper. This structure comprises two shunt-connected tri-section stepped impedance resonators with a transmission line in between. Theoretical analysis from the equivalent circuit and design procedures are described. We represented graphs for filter design from the derived synthesis equations by resonance condition of circuits. Notably, advantages of the proposed filter structure are compact size in design, wide range of realizable resonance frequency ratio, and more realizable impedances.

An Analysis on the Relation between the business Cycle and the Change of the Fashion Silhouette (경기변동과 여성복식 실루엣의 변화와의 비교분석)

  • 홍선옥;김진구
    • The Research Journal of the Costume Culture
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    • v.2 no.1
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    • pp.167-186
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    • 1994
  • The purpose of his study is to investigate the relationship between the business cycle and the fashion of silhouette from 1956 to 1992. Correlation analysis an regression analysis were used to investigate the relation of them. In this study, the coincident composite index was used as business cycle and change of skirt in length and width, collar and pants in width wee thoroughly checked through graphs and photographs. The results of analysis are as follows. 1. When the economy is to ascend, the skirts are short and narrow. On the country, when the economy is descend, they are long and wide. 2. The business cycle gives influence on skirts line and with, that is, about 18%, 33% of total changes. 3. In change of fashion, skirts length and width had significant positive correlation and they showed a tendency to move together. On the other hand, the change of collar and patterns in width have no connection with business fluctuation. 4. The change of fashion is affected by the movement of itself. According to analysis that includes the trend of skirts, about 50%, and 35% of changes in skirts length and width were decided by them,. and about 52% and 35% of change in collar and patterns width were decided by them.

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Variable Dual Band Stop Filter Using 3-Stepped Impedance Resonators (3단 계단형 임피던스 공진기를 이용한 가변 이중 대역 저지 필터)

  • Kim, Gi-Rae;Kim, Yo-Seob
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.4 no.2
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    • pp.119-125
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    • 2011
  • A novel circuit structure of dual-band bandstop filters is proposed in this paper. This structure comprises two shunt-connected tri-section stepped impedance resonators with a transmission line in between. Theoretical analysis from the equivalent circuit and design procedures are described. We represented graphs for filter design from the derived synthesis equations by resonance condition of circuits. Notably, advantages of the proposed filter structure are compact size in design, wide range of realizable resonance frequency ratio, and more realizable impedances.

Development of Interferometer for Performance Assessment of IR Optical System (적외선 광학계통 성능평가를 위한 간섭계 개발)

  • 홍경희;고재준;이성태;장세안;오명호
    • Korean Journal of Optics and Photonics
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    • v.2 no.4
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    • pp.179-185
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    • 1991
  • Twyman-Green interferometer is developed for assessment of IR optical system performance. Light source is $CO_2$ gas laser which has 10.6$\mu \textrm m$ wavelength. The light beam is expanded to 2.5 cm dia by Ge lens and splitted by ZnSe parallel plane plate. One of the beams is reflected by refernce mirror which is operated PZT. The fringe will be detected by a pyro-electric vidicon camera and displayed by a CRT monitor. Here, the IR firinge is recorded on the thermal paper. In visible region, the light source is He-Ne laser. The fringe is detected by a CCD camera and displayed by the CRT monitor. The intensity of the fringe is digitized by a image card and processed by a PC. The wavefront aberration function, PSF and OTF are calculated. The results are displayed in 3-D graphs on the monitor or printed out by a line printer.

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