• 제목/요약/키워드: fraction algorithm

검색결과 214건 처리시간 0.029초

직교격자 기반 수치기법을 이용한 부가저항 해석 (Analysis of Added Resistance using a Cartesian-Grid-based Computational Method)

  • 양경규;이재훈;남보우;김용환
    • 대한조선학회논문집
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    • 제50권2호
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    • pp.79-87
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    • 2013
  • In this paper, an Euler equation solver based on a Cartesian-grid method and non-uniform staggered grid system is applied to predict the ship motion response and added resistance in waves. Water, air, and solid domains are identified by a volume-fraction function for each phase and in each cell. For capturing the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with a weighed line interface calculation (WLIC) method. The volume fraction of solid body embedded in a Cartesian-grid system is calculated by a level-set based algorithm, and the body boundary condition is imposed by volume weighted formula. Added resistance is calculated by direct pressure integration on the ship surface. Numerical simulations for a Wigley III hull and an S175 containership in regular waves have been carried out to validate the newly developed code, and the ship motion responses and added resistances are compared with experimental data. For S175 containership, grid convergence test has been conducted to investigate the sensitivity of grid spacing on the motion responses and added resistances.

Computer나 Calculator를 이용한 계산에서 오류 교정을 위한 어림셈 지도에 관한 연구

  • 강시중
    • 한국수학교육학회지시리즈A:수학교육
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    • 제29권1호
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    • pp.21-34
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    • 1990
  • This is a study on an instruction of estimation for error correction in the calculation with a computer or a calculator. The aim of this study is to survey a new aspect of calaulation teaching and the teaching strategy of estimation and finally to frame a new curriculum model of estimation instruction. This research required a year and the outcomes of the research can be listed as follows: 1. Social utilities of estimation were made clear, and a new trend of calculation teaching related to estimation instruction was shown. 2. The definition of estimation was given and actual examples of conducting an estimation among pupils in lower grades were given for them to have abundant experiences. 3. The ways of finding estimating values in fraction and decimal fraction were presented for the pupils to be able to conduct an estimation. 4. The following contents were given as a basic strategy for estimation. 1) Front-end strategy 2) Clustering strategy 3) Rounding strategy 4) Compatible numbers strategy 5) Special numbers strategy 5. In an instuction of estimation the meaning, method. and process of calculation and calculating algorithm were reviewed for the cultivation of children's creativity through promoting their basic skill, mathematical thinking and problem-solving ability. 6. The following contents were also covered as an estimation strategy for measurement 1) Calculating the sense of quantity on the size of unit. 2) Estimating the total quantity by frequent repetition of unit quantity. 3) Estimating the length and the volume by weighing. 4) Estimating unknown quantity based on the quatity already known. 5) Estimating the area by means of equivalent area transformation. 7. The ways of instructing mental computation were presented. 8. Reviews were made on the curricular and the textbook contents concerning estimation instructions both in Korea and Japan. and a new model of curriculum was devised with reference to estimation instruction data of the United States.

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Mapping Snow Depth Using Moderate Resolution Imaging Spectroradiometer Satellite Images: Application to the Republic of Korea

  • Kim, Daeseong;Jung, Hyung-Sup
    • 대한원격탐사학회지
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    • 제34권4호
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    • pp.625-638
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    • 2018
  • In this paper, we derive i) a function to estimate snow cover fraction (SCF) from a MODIS satellite image that has a wide observational area and short re-visit period and ii) a function to determine snow depth from the estimated SCF map. The SCF equation is important for estimating the snow depth from optical images. The proposed SCF equation is defined using the Gaussian function. We found that the Gaussian function was a better model than the linear equation for explaining the relationship between the normalized difference snow index (NDSI) and the normalized difference vegetation index (NDVI), and SCF. An accuracy test was performed using 38 MODIS images, and the achieved root mean square error (RMSE) was improved by approximately 7.7 % compared to that of the linear equation. After the SCF maps were created using the SCF equation from the MODIS images, a relation function between in-situ snow depth and MODIS-derived SCF was defined. The RMSE of the MODIS-derived snow depth was approximately 3.55 cm when compared to the in-situ data. This is a somewhat large error range in the Republic of Korea, which generally has less than 10 cm of snowfall. Therefore, in this study, we corrected the calculated snow depth using the relationship between the measured and calculated values for each single image unit. The corrected snow depth was finally recorded and had an RMSE of approximately 2.98 cm, which was an improvement. In future, the accuracy of the algorithm can be improved by considering more varied variables at the same time.

직교격자 기반 수치기법을 이용한 선박의 대변위 운동해석 (Analysis of Large-Amplitude Ship Motions Using a Cartesian-Gridbased Computational Method)

  • 양경규;남보우;이재훈;김용환
    • 대한조선학회논문집
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    • 제49권6호
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    • pp.461-468
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    • 2012
  • In this study, a Cartesian-grid method based on finite volume approach is applied to simulate the ship motions in large amplitude waves. Fractional step method is applied for pressure-velocity coupling and TVD limiter is used to interpolate the cell face value for the discretization of convective term. Water, air, and solid phases are identified by using the concept of volume-fraction function for each phase. In order to capture the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with weighed line interface calculation (WLIC) method which considers multidimensional information. The volume fraction of solid body embedded in the Cartesian grid system is calculated using a level-set based algorithm, and the body boundary condition is imposed by a volume weighted formula. Numerical simulations for the two-dimensional barge type model and Wigley hull in linear waves have been carried out to validate the newly developed code. To demonstrate the applicability for highly nonlinear wave-body interactions such as green water on the deck, numerical analysis on the large-amplitude motion of S175 containership is conducted and all computational results are compared with experimental data.

FLY-BY ENCOUNTERS BETWEEN DARK MATTER HALOS IN COSMOLOGICAL SIMULATIONS

  • AN, SUNG-HO;KIM, JEONGHWAN H.;YUN, KIYUN;KIM, JUHAN;YOON, SUK-JIN
    • 천문학논총
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    • 제30권2호
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    • pp.331-333
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    • 2015
  • Gravitational interactions - mergers and fly-by encounters - between galaxies play a key role as the drivers of their evolution. Here we perform a cosmological N-body simulation using the tree-particle-mesh code GOTPM, and attempt to separate out the effects of mergers and fly-bys between dark matter halos. Once close pair halos are identified by the halo finding algorithm PSB, they are classified into mergers ($E_{12}$ < 0) and fly-by encounters ($E_{12}$ > 0) based on the total energy ($E_{12}$) between two halos. The fly-by and merger fractions as functions of redshift, halo masses, and ambient environments are calculated and the result shows the following.(1) Among Milky-way sized halos ($0.33-2.0{\times}10^{12}h^{-1}M{\odot}$), $5.37{\pm}0.03%$ have experienced major fly-bys and $7.98{\pm}0.04%$ have undergone major mergers since z ~ 1; (2) Among dwarf halos ($0.1-0.33{\times}10^{12}h^{-1}M{\odot}$), $6.42{\pm}0.02%$ went through major fly-bys and $9.51{\pm}0.03%$ experienced major mergers since z ~ 1; (3) Milky-way sized halos in the cluster environment experienced fly-bys (mergers) 4-11(1.5-1.7) times more frequently than those in the field since z ~ 1; and (4) Approaching z = 0, the fly-by fraction decreases sharply with the merger fraction remaining constant, implying that the empirical pair/merger fractions (that decrease from z ~ 1) are in fact driven by the fly-bys, not by the mergers themselves.

대수적 사고를 강조한 분수 나눗셈 수업의 분석 (An analysis of fractional division instruction emphasizing algebraic thinking)

  • 조선미;방정숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제60권4호
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    • pp.409-429
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    • 2021
  • 본 연구는 초등학교 6학년 학생들을 대상으로 대수적 사고를 강조하여 분수 나눗셈을 지도하는 방안을 분석한 것이다. 문헌 연구에서 도출한 교수·학습 요소를 중심으로 분수 나눗셈 수업을 재구성하고, 실제 수업에서 주요 교수·학습요소가 어떻게 구현되는지 그 양상을 분석하였다. 특히 본 논문에서는 나누는 수 1에 대응하는 나누어지는 수의 양을 구하는 문제 맥락을 중심으로 분석하였다. 이를 토대로 초등학교 분수 나눗셈 수업에서 대수적 사고를 강조하여 지도하는 방안에 관한 구체적인 시사점을 도출하였다.

Global Left Ventricular Myocardial Work Efficiency in Patients With Severe Rheumatic Mitral Stenosis and Preserved Left Ventricular Ejection Fraction

  • Estu Rudiktyo;Amiliana M Soesanto;Maarten J Cramer;Emir Yonas;Arco J Teske;Bambang B Siswanto;Pieter A Doevendans
    • Journal of Cardiovascular Imaging
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    • 제31권4호
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    • pp.191-199
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    • 2023
  • BACKGROUND: Assessment of left ventricular (LV) function plays a pivotal role in the management of patients with valvular heart disease, including those caused by rheumatic heart disease. Noninvasive LV pressure-strain loop analysis is emerging as a new echocardiographic method to evaluate global LV systolic function, integrating longitudinal strain by speckle-tracking analysis and noninvasively measured blood pressure to estimate myocardial work. The aim of this study was to characterize global LV myocardial work efficiency in patients with severe rheumatic mitral stenosis (MS) with preserved ejection fraction (EF). METHODS: We retrospectively included adult patients with severe rheumatic MS with preserved EF (> 50%) and sinus rhythm. Healthy individuals without structural heart disease were included as a control group. Global LV myocardial work efficiency was estimated with a proprietary algorithm from speckle-tracking strain analyses, as well as noninvasive blood pressure measurements. RESULTS: A total of 45 individuals with isolated severe rheumatic MS with sinus rhythm and 45 healthy individuals were included. In healthy individuals without structural heart disease, the mean global LV myocardial work efficiency was 96% (standard deviation [SD], 2), Compared with healthy individuals, median global LV myocardial work efficiency was significantly worse in MS patients (89%; SD, 4; p < 0.001) although the LVEF was similar. CONCLUSIONS: Individuals with isolated severe rheumatic MS and preserved EF, had global LV myocardial work efficiencies lower than normal controls.

Experimental research on flow regime and transitional criterion of slug to churn-turbulent and churn-turbulent to annular flow in rectangular channels

  • Qingche He;Liang-ming Pan;Luteng Zhang;Wangtao Xu;Meiyue Yan
    • Nuclear Engineering and Technology
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    • 제55권11호
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    • pp.3973-3982
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    • 2023
  • As for two-phase flow in rectangular channels, the flow regimes especially like churn-turbulent and annular flow are significant for the physical problem like Countercurrent Flow Limitation (CCFL). In this study, the rectangular channels with cross-sections of 4 × 66 mm, 6 × 66 mm, 8 × 66 mm are adopted to investigate the flow regimes of air-water vertical upward two phase flow under adiabatic condition. The gas and liquid superficial velocities are 0 ≤ jg ≤ 20m/s and 0.25 ≤ jf ≤ 3m/s respectively which covering bubbly to annular flow. The flow regimes are identified by random forest algorithm and the flow regime maps are obtained. As the results, the transitional void fraction from slug to churn turbulent flow fluctuate from 0.47 to 0.58 which is significantly affected by the dimensional size of channel and flow rate. Besides, the void fraction at transitional points from churn-turbulent (slug) to annular flow are 0.66-0.67, which are independent with the gap size. Furthermore, a new criteria of slug to churn-turbulent flow is established in this study. In addition, by introducing the interfacial force model, the criteria of churn-turbulent (slug) flow to annular flow is verified.

Panasonic UD-809P 알비도 열형광선량계를 이용한 중성자 개인선량당량 평가 (Neutron Personal Dose Equivalent Evaluation Using Panasonic UD-809P Type TLD Albedo Dosimeters)

  • 신상운;손중권;김화
    • Journal of Radiation Protection and Research
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    • 제24권3호
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    • pp.143-154
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    • 1999
  • Panasonic UD-809P 알비도 중성자 열형광선량계를 팬텀에 장착시켜 원자력발전소에서 중성자 개인선량당량을 측정하였다. 측정된 판독값으로부터 Panasonic 사의 사용자 매뉴얼에 제시되어 있는 방법을 이용하여 열중성자와 초열중성자 및 속중성자로 인한 개인선량당량을 평가하였다. 그 결과 열중성자 성분의 비율이 높은 원자력발전소에서는 속중성자로 인한 개인선량당량을 적절하게 평가할 수 없는 것으로 확인되었는데, 이는 열중성자로 인한 알비도 성분이 열형광선량계로 재입사 되는 양이 이론적인 값과 상당한 차이가 나기 때문인 것으로 추정되었다. 따라서 원자력발전소와 같이 열중성자 성분의 비율이 높은 조건에서 속중성자로 인한 중성자 개인선량당량을 평가하기 위하여 중성자 성분을 열중성자와 속중성자로 구분한 새로운 중성자 선량계산 알고리즘을 제안하였으며, 각각의 성분에 대한 개인선량당량과 교정인자, 민감도 인자 평가공식을 유도하였다.

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우리나라 예비 초등 교사들의 분수 나눗셈의 의미 이해에 대한 연구 (A Study on Understanding of the Elementary Teachers in Pre-service with respect to Fractional Division)

  • 박교식;송상헌;임재훈
    • 대한수학교육학회지:학교수학
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    • 제6권3호
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    • pp.235-249
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    • 2004
  • 본 연구는 우리나라의 예비 초등 교사들이 분수 나눗셈 1$\frac{3}{4}$$\div$$\frac{1}{2}$에 적합한 문장제를 만들 때 나타나는 오류 유형과 만든 문장제의 유형을 분석한 것이다. 우리나라 예비 초등 교사들은 미국이나 중국의 교사들처럼 '$\frac{1}{2}$로 나누기'를 '2로 나누기'로 오해하는 일상 언어와 수학적 언어 사용의 불일치에 기인하는 구조적인 오류를 다수 보였으며, 계산결과만 생각하여 구조적으로 다른 1$\frac{3}{4}$$\times$2에 적합한 문장제를 만드는 새로운 유형의 오류도 보이고 있다. '포함제' 자체에는 익숙하지만 몫이 자연수가 아닌 분수 나눗셈 상황에서 포함제가 지니는 문제점에 대한 인식은 매우 부족한 것으로 나타났으며, '단위 비율의 결정', '곱셈의 역 상황'이라는 분수 나눗셈의 의미에 대한 이해가 매우 부족한 것으로 나타났다. 따라서 예비 초등 교사들을 위한 교육에서는 분수의 나눗셈에서 단위 비율의 결정, 곱셈의 역연산으로서의 나눗셈의 의미를 다양한 실제 상황 및 맥락과 관련지어 이해하게 하는 지도가 이루어질 필요가 있다.

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