• Title/Summary/Keyword: 정수화

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On the Role of Intuitive Model for Teaching Operations of Integers in the Middle School Mathematics Class (중학교 수학 수업에서 정수의 사칙계산 지도를 위한 직관적 모델의 역할에 관한 연구)

  • Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.11 no.1
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    • pp.97-115
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    • 2008
  • In high school mathematics class, to subtract a number b from a, we add the additive inverse of b to a and to divide a number a by a non-zero number b, we multiply a by the multiplicative inverse of b, which is the formal approach for operations of real numbers. This article aims to give a connection between the intuitive models in middle school mathematics class and the formal approach in high school for teaching operations of negative integers. First, we highlight the teaching methods(Hwang et al, 2008), by which subtraction of integers is denoted by addition of integers. From this methods and activities applying the counting model, we give new teaching methods for the rule that the product of negative integers is positive. The teaching methods with horizontal mathematization(Treffers, 1986; Freudenthal, 1991) of operations of integers, which is based on consistently applying the intuitive model(number line model, counting model), will remove the gap, which is exist in both teachers and students of middle and high school mathematics class. The above discussion is based on students' cognition that the number system in middle and high school and abstracted number system in abstract algebra course is formed by a conceptual structure.

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Study on Adsorption of Pb and Cd in Water Using Carbonized Water Treatment Sludge (탄화 정수 슬러지를 이용한 수중의 납과 카드뮴 흡착에 관한 연구)

  • Kim, Younjung;Kim, Daeik;Choi, Jong-Ha;Hong, Yong Pyo;Ryoo, Keon Sang
    • Journal of the Korean Chemical Society
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    • v.61 no.5
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    • pp.238-243
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    • 2017
  • In this study, water treatment sludge carbonized with $400^{\circ}C$ was tested as an adsorbent for the removal of Pb and Cd in water. The carbonized sludge was characterized by thermo-gravimetric analysis (TGA), scanning electron microscopy (SEM), X-ray fluorescence spectrometry (XRF), and surface area analysis. Carbonized sludge exhibited much higher specific surface area and total pore volume than water treatment sludge itself. In batch-type adsorption process, carbonized sludge represented better adsorption performance for Pb than Cd, achieving 90~98% at the concentrations conducted in the experiments. Equilibrium data of adsorption were analyzed using the Freundlich and Langmuir isotherm models. It was seen that both Freundlich and Langmuir isotherms have correlation coefficient $R^2$ value larger than 0.95. The results of studies indicated that carbonized water treatment sludge by heat treatment could be used as an efficient adsorbent for the removal of Pb and Cd from water.

Manufacturing of artificial lightweight aggregate from water treatment sludge and application to Non-point treatment filteration (정수슬러지를 재활용한 인공경량골재의 제조 및 비점오염원 여재의 적용)

  • Jung, Sung-Un;Lee, Seoung-Ho;Namgung, Hyun-Min
    • Industry Promotion Research
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    • v.6 no.4
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    • pp.1-9
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    • 2021
  • The purpose of this study is to manufacture lightweight aggregates for recycling water treatment sludge, to identify the physical properties of the aggregates, and present a method of utilizing the manufactured lightweight aggregates. The chemical composition and thermal properties were examined via a raw materials analysis. The aggregate examined here was fired by the rapid sintering method and the single-particle density and water absorption rate were measured. Water treatment sludge has high ignition loss and high fire resistance. When 30wt% of purified sludge was added, the single-particle density of the aggregates was in the range of 0.8~1.2g/cm3 at a temperature of 1,150~1,200℃. At temperatures of 1200℃ or higher, ultra-light aggregates having a single-particle density of 0.8 or less could be produced. When applied to concrete by replacing the general aggregate in the concrete, a specimen having strength values of 200 to 450 kgf/cm2 on 28 days was obtained, and when applied as a filter material, the performance was equal to or higher than that of ordinary sand.

Development of the Linear Regression Analysis Model to Estimate the Shear Strength of Soils (흙의 전단강도 산정을 위한 선형회귀분석모델 개발)

  • Lee, Moon-Se;Ryu, Je-Cheon;Kim, Kyeong-Su
    • The Journal of Engineering Geology
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    • v.19 no.2
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    • pp.177-189
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    • 2009
  • The shear strength has been managed as an important factor in soil mechanics. The shear strength estimation model was developed to evaluate the shear strength using only a few soil properties by the linear regression analysis model which is one of the statistical methods. The shear strength is divided into two part; one is the internal friction angle (${\phi}$) and the other is the cohesion (c). Therefore, some valid soil factors among the results of soil tests are selected through the correlation analysis using SPSS and then the model are formulated by the linear regression analysis based on the relationship between factors. Also, the developed model is compared with the result of direct shear test to prove the rationality of model. As the results of analysis about relationship between soil properties and shear strength, the internal friction angle is highly influenced by the void ratio and the dry unit weight and the cohesion is mainly influenced by the void ratio, the dry unit weight and the plastic index. Meanwhile, the shear strength estimated by the developed model is similar with that of the direct shear test. Therefore, the developed model may be used to estimate the shear strength of soils in the same condition of study area.

A Study of AI-based Monitoring Techniques for Land-based Debris in Stream (AI기반 하천 부유쓰레기 모니터링 기술 연구)

  • Kyungsu Lee;Haein Yoon;Jonghwa Won;Sang Hwa Jung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2023.05a
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    • pp.137-137
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    • 2023
  • 해양쓰레기는 해안의 심미적 가치 저하뿐만 아니라 생태계 파괴, 유령 어업에 따른 수산업 피해 등의 사회적·환경적 문제를 발생시키며, 그중 70% 이상은 육상 기인으로 플라스틱 및 기타 쓰레기가 주를 이루는 해외와 달리 국내의 경우 다량의 초목류를 포함하고 있다. 다양한 부유쓰레기에 대한 기존의 해양쓰레기량 추정의 한계와 하천·하구 쓰레기 수거의 효율화를 위해 해양으로 유입되는 부유쓰레기 방지를 위한 실효성 있는 대책 수립이 필요한 실정이다. 본 연구는 해양 유입 전 하천의 차단시설에 차집된 부유쓰레기의 수거 효율화 및 지속가능한 해양쓰레기 데이터 구축을 위해 AI기반의 기술을 통해 부유쓰레기 성상 분석 기법(Object Detection)과 차집량 분석 기법(Semantic Segmentation)을 활용하였다. 실제와 유사한 데이터 수집을 위해 다양한 하천 환경(정수조, 소하천, 급경사수로)에 대해 탁도(녹조, 유사), 광량, 쓰레기형상, 초목류 함량, 날씨(소하천), 유속(급경사수로) 등의 실험조건에 대하여 해양쓰레기 분류 기준 및 통계를 바탕으로 부유쓰레기 종류 선정하여 학습을 위한 데이터를 수집하였다. 학습 목적에 따라 구분하여 라벨링(Bounding box, Polygon)을 수행하고, 각 분석 기법별 전이학습을 통해 Phase 1(정수조), Phase 2(소하천), Phase 3(급경사수로) 순서로 모델을 고도화하였다. 성상 분석을 위해 YOLO v4를 활용하여 Train, Test DataSet(9:1)을 구성하고 학습 및 평가는 Iteration마다의 mAP, loss 값을 통해 비교하였으며, 학습 Phase에 따라 모델 고도화로 Test Set의 mAP 값이 성상별로 높아짐을 확인하였으며, 차집량 분석을 위해 Unet을 활용하여 Train, Test, Validation DataSet(8.5:1:0.5)을 구성하고 epoch별 IoU(intersection over Union), F1-score, loss 값을 비교하여 정성적, 정량적 평가 모두 Phase 3에서 가장 높은 성능을 확인하였다. 향후 하천 환경에서의 다양한 영양인자별 분석을 통해 주요 영향인자 도출 및 Hyper Parameter 최적화를 통한 모델 고도화로 인해 활용성이 높아질 것으로 판단된다.

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Optimal Scaling and Partial Quantification in Multidimensional Preference Analysis (다차원선호분석의 최적척도화 및 부분수량화)

  • 황선영;정수진;김영원
    • The Korean Journal of Applied Statistics
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    • v.14 no.2
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    • pp.305-320
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    • 2001
  • 다차원선호분석(mutidimensional preference analysis)은 여러 상품들에 대한 개인(또는 그룹)의 선호도를 알아보기 위한 분석방법으로 결과는 보통 2차원 그림으로 제공된다. 본 연구에서는 의미있는 두 가지 최적척도 기준을 제안하고 이와 연관된 행 및 열표시자를 유도하고 있으며, 아울러 사전지식을 반영하기 위해 부분수량화를 다차원선호분석에 도입하는 방법을 제시한다. 또한 본 연구에서 제시한 다차원분석기법들을 실제 인터넷 검색엔진에 대한 선호도 자료에 적용한다.

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Embedding Method a Secret Data into JPEG Algorithm (JPEG 알고리즘에 기밀 데이터 합성법)

  • 박지환;박태진
    • Review of KIISC
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    • v.6 no.1
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    • pp.65-78
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    • 1996
  • 본 논문에서는 JPEG 알고리즘을 이용하여 화상데이터를 부호화할때 디지털 서명문과 같은 기밀 데이터를 몰래 집어넣어 합성하는 방식에 대하여 고찰한다 그 기본원리는 DCT 계수를 양자화 할 때 필연적으로 생기는 오차를 이용하는 것으로 0이 아닌 양자화 계수를 합성하고자 하는 기밀데이터에 따라 근처의 정수로 조절하는 것이다. 이 방식을 SIDBA 표준화상에 적용하여 화상의 열화는 무시할 정도로 작으면서 원하는 크기의 기밀 데이터를 합성할 수 있음을 보인다. 또한, 화질의 열화를 최소화시키면서 일정량의 기밀 데이터를 합성시키기 위하여 블록당 1화소를 적절히 선택하여 제3자의 공격에 대한 안전성을 향상시키는 방법을 제시하고 컴퓨터 시뮬레이션을 통하여 성능을 분석한다.

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Relationship between the State Parameter and Cone Resistance of Busan Sand (부산모래의 상태정수와 콘저항치 상관관계)

  • Kim, Seung-Han;Lee, Moon-Joo;Choi, Sung-Kun;Hong, Sung-Jin;Lee, Woo-Jin
    • Journal of the Korean Geotechnical Society
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    • v.23 no.3
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    • pp.123-131
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    • 2007
  • A series of CIDC triaxial tests and cone penetration tests in calibration chamber were performed to investigate the relationship between state parameter and normalized cone resistance far dredged Busan sand. From the results of the triaxial tests, the critical state line of Busan sand was established, and the critical state parameters found to be $M=1.39(\phi_{cs}=34^{\circ}),\;\Gamma=1.07$ and $\lambda=0.068$. By analyzing the state parameters and corresponding cone resistances for calibration chamber specimens, the relationship between normalized cone resistance and state parameter for Busan sand was defined as $(q_c-p)/p'=27.6\exp(-10.9\Psi)$. This relationship was also shown to be independent of the stress history. From the comparison of the slope of the normalized cone resistance, m, and the normalized cone resistance at $\Psi=0$, $\kappa$, with those of various sandy soils from over the world, the relationship of m and $\kappa$ with $\lambda_{ss}$ of Busan sand was concluded to show a good agreement with the result published previously, while Busan sand had the largest $\kappa$ among the soils with similar $\lambda_{ss}$ values.