• Title/Summary/Keyword: 그래프 밀도

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A discursive approach to analysis of definition of graph in first year middle school textbooks (담론적 관점(discursive approach)에서 중1 수학 교과서의 그래프 정의 분석)

  • Kim, Won;Choi, Sang-Ho;Kim, Dong-Joong
    • Communications of Mathematical Education
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    • v.32 no.3
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    • pp.407-433
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    • 2018
  • In order to analyze textbooks from a discursive approach, the purpose of this study is to structuralize an analytic framework based on previous literature review and apply it to analyzing the meanings and their syntheses developed by words and visual mediators appeared in the definition of graph in first-year middle school textbooks. The discursive approach consists of the communicational approach developed by Sfard(2008) and the systemic functional linguistics developed by Halliday(1985/2004). In this study, ideational meta-functions for ideational meanings and interpersonal meta-functions for interpersonal meanings were employed to analyze the meanings produced by words and visual mediators in textbooks, whereas textual meta-functions for textual meanings were used for analyzing the synthesized relationships between words and visual mediators. Results show that first, density in mathematical discourse was very high and subjects in mathematical activities were ambiguous in the ideational meanings of words, and behavior aspect was more emphasized than thinking aspect in the interpersonal meanings of words which request student participations. In the case of ideational meanings of visual mediators, there was a lack of narrative diagrams, whereas there were qualitative differences in the case of offer. Second, there was a need for promoting a wide range of diverse synthetic relationships between words and visual mediators for developing enriched mathematical meanings through the varying uses like specification, explanation, similarity, and complement. These results are so important that they provide a new analytic framework from a discursive approach to textbook analysis because not only words, but also visual mediators are analyzed as tools for producing meanings in mathematics textbooks and their synthetic relationships are also examined.

Distributional Characteristics of Fault Segments in Cretaceous and Tertiary Rocks from Southeastern Gyeongsang Basin (경상분지 남동부 일대의 백악기 및 제3기 암류에서 발달하는 단층분절의 분포특성)

  • Park, Deok-Won
    • The Journal of the Petrological Society of Korea
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    • v.27 no.3
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    • pp.109-120
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    • 2018
  • The distributional characteristics of fault segments in Cretaceous and Tertiary rocks from southeastern Gyeongsang Basin were derived. The 267 sets of fault segments showing linear type were extracted from the curved fault lines delineated on the regional geological map. First, the directional angle(${\theta}$)-length(L) chart for the whole fault segments was made. From the related chart, the general d istribution pattern of fault segments was derived. The distribution curve in the chart was divided into four sections according to its overall shape. NNE, NNW and WNW directions, corresponding to the peaks of the above sections, indicate those of the Yangsan, Ulsan and Gaeum fault systems. The fault segment population show near symmetrical distribution with respect to $N19^{\circ}E$ direction corresponding to the maximum peak. Second, the directional angle-frequency(N), mean length(Lm), total length(Lt) and density(${\rho}$) chart was made. From the related chart, whole domain of the above chart was divided into 19 domains in terms of the phases of the distribution curve. The directions corresponding to the peaks of the above domains suggest the directions of representative stresses acted on rock body. Third, the length-cumulative frequency graphs for the 18 sub-populations were made. From the related chart, the value of exponent(${\lambda}$) increase in the clockwise direction($N10{\sim}20^{\circ}E{\rightarrow}N50{\sim}60^{\circ}E$) and counterclockwise direction ($N10{\sim}20^{\circ}W{\rightarrow}N50{\sim}60^{\circ}W$). On the other hand, the width of distribution of lengths and mean length decrease. The chart for the above sub-populations having mutually different evolution characteristics, reveals a cross section of evolutionary process. Fourth, the general distribution chart for the 18 graphs was made. From the related chart, the above graphs were classified into five groups(A~E) according to the distribution area. The lengths of fault segments increase in order of group E ($N80{\sim}90^{\circ}E{\cdot}N70{\sim}80^{\circ}E{\cdot}N80{\sim}90^{\circ}W{\cdot}N50{\sim}60^{\circ}W{\cdot}N30{\sim}40^{\circ}W{\cdot}N40{\sim}50^{\circ}W$) < D ($N70{\sim}80^{\circ}W{\cdot}N60{\sim}70^{\circ}W{\cdot}N60{\sim}70^{\circ}E{\cdot}N50{\sim}60^{\circ}E{\cdot}N40{\sim}50^{\circ}E{\cdot}N0{\sim}10^{\circ}W$) < C ($N20{\sim}30^{\circ}W{\cdot}N10{\sim}20^{\circ}W$) < B ($N0{\sim}10^{\circ}E{\cdot}N30{\sim}40^{\circ}E$) < A ($N20{\sim}30^{\circ}E{\cdot}N10{\sim}20^{\circ}E$). Especially the forms of graph gradually transition from a uniform distribution to an exponential one. Lastly, the values of the six parameters for fault-segment length were divided into five groups. Among the six parameters, mean length and length of the longest fault segment decrease in the order of group III ($N10^{\circ}W{\sim}N20^{\circ}E$) > IV ($N20{\sim}60^{\circ}E$) > II ($N10{\sim}60^{\circ}W$) > I ($N60{\sim}90^{\circ}W$) > V ($N60{\sim}90^{\circ}E$). Frequency, longest length, total length, mean length and density of fault segments, belonging to group V, show the lowest values. The above order of arrangement among five groups suggests the interrelationship with the relative formation ages of fault segments.

Tanner Graph Based Low Complexity Cycle Search Algorithm for Design of Block LDPC Codes (블록 저밀도 패리티 검사 부호 설계를 위한 테너 그래프 기반의 저복잡도 순환 주기 탐색 알고리즘)

  • Myung, Se Chang;Jeon, Ki Jun;Ko, Byung Hoon;Lee, Seong Ro;Kim, Kwang Soon
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39C no.8
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    • pp.637-642
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    • 2014
  • In this paper, we propose a efficient shift index searching algorithm for design of the block LDPC codes. It is combined with the message-passing based cycle search algorithm and ACE algorithm. We can determine the shift indices by ordering of priority factors which are effect on the LDPC code performance. Using this algorithm, we can construct the LDPC codes with low complexity compare to trellis-based search algorithm and save the memory for storing the parity check matrix.

Performance Improvement in High SNR for LDPC codes using Power Allocation (전력할당을 통한 LDPC부호의 높은 SNR에서의 성능개선 방법)

  • Lee, Ki-Jun;Chung, Ha-Bong;Im, Ju-Hyuk;Choi, Eun-A;Chang, Dae-Ig
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.10C
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    • pp.935-941
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    • 2007
  • In this paper, we suggest the power allocation method which enhances the performance in high SNR for LDPC codes. In this method, bit power is unequally allocated proportionally to the difference of the degree distributions of variable and check nodes of Tanner graph between practically used codes and the codes optimized by density evolution. Simulation is performed to the codes in IEEE 802.16e standards, and the results show that the proposed method works well in high SNR.

A Study on the Uncertainty of the Classification of Rook Mass Rating (RMR 암반분류법의 불확정성에 관한 연구)

  • Lee Sang-Eun;Jun Sung-Kwon;Kang Sang-Jin
    • Tunnel and Underground Space
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    • v.15 no.6 s.59
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    • pp.441-451
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    • 2005
  • It is the unavoidable problem that the RMR rock classification method has the uncertainty resulted from uncertain definition of measured value in RMR grade table, hence in this paper, the estimation of probability density function$(p{\cdot}d{\cdot}f)$ graph with the evaluation of continuos RMR and the Monte Carlo Simulation and statistic reasoning were carried out to evaluate the uncertainty quantitatively. Also, the modified RMR rock classification table was presented in order to apply the uncertainty of RMR to the practice, and then the design process of standard support pattern and the tunnel support material was proposed.

Effect of Average and Cyclic Shear Stress on Undrained Cyclic Behavior of Marine Silty Sand (해양 실트질 모래의 비배수 동적 거동에 대한 평균 및 반복전단응력의 영향)

  • Muhammad, Safdar;Son, Su-Won;Kim, Jin-Man
    • Journal of the Korean Geotechnical Society
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    • v.30 no.1
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    • pp.17-25
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    • 2014
  • Offshore wind turbine foundations are subjected to wind, current and wave loadings. Hence, both static and cyclic behaviors of foundation's soil are important for the design of offshore wind turbine foundation. Undrained cyclic behaviors of soils depend upon the number of loading cycles, vertical effective stress, cyclic shear strain, relative density, and the combination of cyclic and average shear stresses. In order to evaluate the effect of average and cyclic shear stresses on the undrained cyclic behavior of marine silty sand, cyclic direct simple shear (CDSS) tests are performed with relative density of 85%, vertical effective stress of 200 and 300 kPa, and failure criteria of either 15% double amplitude cyclic shear strain (${\gamma}_{cyc}$) or permanent shear strain (${\gamma}_{p}$). The results are presented in the form of design graphs or contour diagrams. The undrained cyclic behavior of marine silty sand is found to be dependent on cyclic and average shear stresses and/or the combination of both shear stresses. It is found that when significant average shear stress exists the permanent or progressive shear strain is the govering failure criteria instead of cyclic shear strain.

Effects of High-Molecular-Weight Glutenin Subunits and Agronomic Traits on Bread Wheat Quality Parameters (밀의 고분자 글루테닌 조성과 농업 형질이 품질 특성에 미치는 영향)

  • Cha, Jin-Kyung;Shin, Dongjin;Park, Hyeonjin;Kwon, Youngho;Lee, So-Myeong;Ko, Jong-Min;Lee, Jong-Hee
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.67 no.2
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    • pp.111-120
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    • 2022
  • Improving flour quality is one of the major targets of wheat breeding programs. This study determined the optimum high-molecular-weight glutenin subunits (HMW-GS) to improve flour quality, and analyzed the correlation between agronomic and quality traits in Korea. A total of 180 wheat varieties, including 55 Korean and 125 foreign cultivars, carrying various Glu-1 alleles, were evaluated for their quality and agronomic traits. Results indicated that Glu-A1b, Glu-B1b, and Glu-D1f were the most prevailing alleles for each Glu-1 locus for Korean wheat cultivars. Korean wheat cultivars recorded shorter days to heading (DTH) and longer days to maturity (DTM) compared to foreign cultivars. In addition, an interaction effect was found between Glu-A1 and Glu-B1 alleles on several quality parameters. The combination of Glu-A1c and Glu-B1i showed a higher protein content, dry gluten content, and higher sodium dodecyl sulfate (SDS) sedimentation value than other Glu-A1×Glu-B1 combinations. Cultivars carrying Glu-A1a or Glu-A1b, Glu-B1i or Glu-B1al, and Glu-D1d for each Glu-1 locus exhibited a longer mixing time and stronger mixing tolerance. The DTM positively correlated with the protein content, gluten index and SDS sedimentation value. However, a negative correlation was observed between DTH and quality traits. Owing to the above results, this study suggests that an increase in the frequency of Glu-B1i or Glu-B1al, Glu-D1d coupled with a short DTH and long DTM could significantly improve wheat quality properties.

Review of Quantification of Fracture Characteristics Based on Topological Analysis (위상기하 분석법을 이용한 단열계 특성 정량화의 소개)

  • Son, Hyorok;Kim, Young-Seog
    • The Journal of Engineering Geology
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    • v.31 no.1
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    • pp.1-17
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    • 2021
  • It is important to evaluate the fracture network in a rock volume because fractures control the ground conditions and fluid flow characteristics. Therefore, various attempts have been made to quantify fracture networks to better understand ground and flow conditions. The use of fracture density alone (a quantitative parameter based on geometric analysis) does not fully explain the evolution of fracture networks, or quantify the spatial relationship (e.g. connectivity) of fractures in a rock mass. Therefore, the need for fracture network characterization based on topological analysis has recently emerged. In Korea however, the topological analysis of fracture networks within a rock mass has rarely been studied. As such, the definition of the topological analysis of fracture networks and the graph theory related to the topological analysis are briefly summarized in this study. We also introduce an application method for these analyses to fracture characterization. If the topological method is used for the analysis of fracture networks, it can also be adopted to analyze fluid flow characteristics of groundwater, characterize petroleum reservoirs, and analyze the evolution of a fracture network. In addition, topological analysis can be useful for site selection of major facilities such as nuclear waste disposal sites because it can be used to evaluate the stability of the potential sites.

Supercritical Fluid Dyeing of Polyester Fiber with Two Different Dispersion Dyes (두 종류의 분산염료를 이용한 폴리에스테르 섬유의 초임계유체 염색)

  • Jung, In-Il;Lee, Sang-Yun;Lim, Gio-Bin;Ryu, Jong-Hoon
    • Clean Technology
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    • v.17 no.2
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    • pp.110-116
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    • 2011
  • The dyeing of polyester fiber with two different disperse dyes (Disperse Red 60 and Disperse Yellow 54) was carried out using supercritical carbon dioxide ($SCCO_2$) as a dyeing medium at temperatures ranging from $50^{\circ}C$ to $90^{\circ}C$ and at pressures from 15 MPa to 30 MPa. The dye uptake of Disperse Red 60 on polyester fiber was found to increase with temperature at constant pressure and $SCCO_2$ density (700 kg/$m^3$). At $90^{\circ}C$ and 30 MPa, the dye uptake on polyester fiber increased with dyeing time and the saturation concentration of Red 60 was attained within 240 min, while a longer dyeing time was required for Yellow 54 to reach its saturation concentration. When dyestuff mixtures with mixing ratios of 0.01 to 9.0 (Red 60/Yellow 54) were used, the uptake ratio of the two dyes was found to be proportional to 0.26 power of their mixing ratio. Dyed fibers showed an orange color and the depth of the color depended upon the mixing ratio of the dyestuffs.

Floc Behaviors Due to Flocculation Process (응집현상에 의한 플럭의 거동 변화)

  • Son, Minwoo;Park, Byeoung Eun;Byun, Jisun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.253-253
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    • 2019
  • 유사의 이동은 하천, 해안 지역과 같은 수계에서 하상의 변동, 침식과 퇴적을 일으켜 지형적인 변화를 초래한다. 유사의 이동은 유사의 특성과 유체의 유수동역학적 특성에 의해 결정되며 유체특성 간의 복잡한 상호 작용에 의해 변화한다. 유사가 가지는 점착성은 유사의 특성에 큰 영향을 끼친다. 입자의 크기가 매우 작은 점착성 유사는 그 표면이 가지는 전자기적 점착력에 의해 주위의 1차 입자나 다른 작은 알갱이들이 서로 뭉치는 응집과 충돌에 의해 크기가 작아지는 파괴의 과정을 겪는다. 이 과정을 응집현상이라고 하며 응집현상을 통해 점착성 유사의 크기와 밀도, 침강속도는 계속해서 변화한다. 따라서 점착성 유사의 응집거동 고려한 유사 이동 연구는 필수적이다. 과거 연구의 많은 사례에서 유사의 크기와 농도는 비례 관계를 가지는 것이 일반적이라 알려져 있다. 그러나 실제 현장에서 측정한 결과 유사의 크기와 농도가 반비례 관계를 가지는 특이점이 발견되었다. 실측 연구에서 발견된 응집거동에 따른 유사의 특성의 특이한 변화를 설명하기 위해 1차원 연직 수치 모형(1DV)을 이용하여 수치 실험을 수행하였다. 모의 수행 시, 흐름 조건을 크기와 방향이 일정한 순방향흐름(Current)에 특정 주기와 진폭을 가지는 진동 흐름(Oscillatory Flow)을 추가하여 진행하였다. 플럭의 성장과 그에 따른 입자의 크기는 많은 현상에 영향을 받는다. 그 중 응집현상의 응집 과정과 파괴 과정 중 어떤 현상이 더 우세한지 그 경쟁관계를 파악하여 플럭의 크기의 증감을 예측할 수 있게 농도(?)와 난류소산매개변수(?)를 이용하여 $c/G^{0.5}$로 매개화하였다. 실험 결과, 순방향 흐름을 제외하고 스토크스파 흐름 조건을 이용하여 진행된 모의에서는 플럭의 크기와 농도가 반비례하는 현상을 관찰할 수 없었으며 $c/G^{0.5}$ 의 변화 역시 흐름의 속도와 농도가 더 큰 지점에서 큰 값을 가지는 일반적인 결과를 나타내었다. 그러나 같은 조건에서 순방향흐름을 추가하여 모의한 결과에서는 플럭의 크기와 농도가 반비례하는 현상을 나타냈다. 연직 방향 $c/G^{0.5}$의 변화를 나타낸 그래프에서 응집과 파괴의 우세에 따라 $c/G^{0.5}$ 가 역전되는 현상을 확인하였다. 즉, 플럭의 크기는 난류의 구조와 그 영향에 의해 농도와 비례관계를 갖지 않을 수도 있다고 판단된다. 또한 본 연구에서 정상류 흐름 조건의 유무에 따라 플럭의 크기와 농도가 비례하거나 반비례하는 상반된 결과를 보였다. 정상류 흐름 조건이 난류의 강도에 큰 역할을 하며 이에 따라 비선형 관계에 영향을 끼친다는 것을 발견하였다. 그러나 흐름의 영향에 대한 더 자세한 분석은 본 연구에서 진행되지 않았으며 향후 연구 시에 분명히 고려되어야 할 사항이다.

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