• Title/Summary/Keyword: 수학 문제 설정

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Forecast of Stream Level Using ANFIS (ANFIS를 이용한 하천수위 예측)

  • Choi, Chang-Won;Yi, Jae-Eung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.132-136
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    • 2007
  • 최근 지구온난화로 인한 이상기후의 영향으로 강우일수는 줄고 있으나 강수량은 예년과 비슷한 수준을 보이고 있다. 이로 인해 갈수기의 용수부족 현상은 더욱 심해지고. 장마철의 홍수피해와 게릴라성 집중호우로 인한 피해가 커지는 등 해가 갈수록 홍수 예경보의 중요성은 더욱 높아지고 있다. 그럼에도 불구하고 현재 홍수 예경보 체계는 몇 가지 문제를 가지고 있다. 기존 예경보 체계의 경우 한 번의 예측을 수행하기 위해 수반되는 전처리과정과 주계산과정을 거치는 동안 각 과정에서 발생한 오차들이 반복, 누적되어 최종 결과물(예측된 유출량) 속에 모두 포함된다. 또한 기존 체계에서는 유출모형을 적용하기 위해서 토양형. 피복상태 등에 관련된 매개변수들이 필요한데. 이러한 매개변수의 결정에 어려움이 있고. 불확실성을 갖고 있다. 본 연구에서는 불확실성을 적극적으로 인정하고 수학적으로 해석하려는 fuzzy 이론을 신경망 이론에 도입하여 홍수 예경보 시스템의 운영과정에서 발생하는 불확실성의 문제를 해결하고자 하였다. 본 연구에서 사용한 ANFIS(Adaptive Neuro-Fuzzy Inference System)은 data driven model(자료에 기반을 둔 모형)의 하나로 다음과 같은 장점을 가진다. 우선 data driven model은 유역의 물리적, 지형적 특성을 고려하지 않고(매개변수설정에서 발생하는 문제 해결 가능), 입력자료와 출력자료만을 고려하여 구축되는 모형이므로, 유역의 물리적 자료나 지형 자료와 같은 방대한 양의 자료 수집이 필요 없고, 일단 모형이 구축되면 자료의 입력만으로도 신뢰성 높은 결과를 단시간 내에 효율적으로 획득할 수 있다. 그리고 유역 내의 상황이 변화하더라도, 이들의 영향을 고려하여 쉽게 모형을 갱신할 수 있다. 마지막으로 모형의 구축 과정이 물리적 모형에 비해 비교적 간편하다는 장점이 있다. 본 연구에서는 ANFIS를 통해 탄천유역의 강수량 자료와 대곡교의 수위자료를 입력자료로 사용하여 대곡교의 수위를 예측하였다. 입력 자료는 시간차 계열의 강우량과 수위 자료를 사용하였으며 모형을 통하여 t+1, t+2, t+3 시간 후의 수위를 예측하였다.

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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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Numerical Modeling for Freezing Phenomena in Food (식품 동결현상의 수학적 모델)

  • 공재열;김정한;김민용;김의웅
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.21 no.2
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    • pp.207-212
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    • 1992
  • To analyze the freezing phenomena of foodstuffs, the numerical freezing model with 3 steps was established. When water and 2% agar gel were used as samples, Neumann's solution was well matched with experimental results by the numerical model. However, in the case of 20% gelatin gel and pork meat, Weiner's solution was better than Neumann's solution. This numerical freezing model was proved to be good model to describe the freezing phenomena with phase change in the point of versatility and precision.

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Adaptive Enhancement of Low-light Video Images Algorithm Based on Visual Perception (시각 감지 기반의 저조도 영상 이미지 적응 보상 증진 알고리즘)

  • Li Yuan;Byung-Won Min
    • Journal of Internet of Things and Convergence
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    • v.10 no.2
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    • pp.51-60
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    • 2024
  • Aiming at the problem of low contrast and difficult to recognize video images in low-light environment, we propose an adaptive contrast compensation enhancement algorithm based on human visual perception. First of all, the video image characteristic factors in low-light environment are extracted: AL (average luminance), ABWF (average bandwidth factor), and the mathematical model of human visual CRC(contrast resolution compensation) is established according to the difference of the original image's grayscale/chromaticity level, and the proportion of the three primary colors of the true color is compensated by the integral, respectively. Then, when the degree of compensation is lower than the bright vision precisely distinguishable difference, the compensation threshold is set to linearly compensate the bright vision to the full bandwidth. Finally, the automatic optimization model of the compensation ratio coefficient is established by combining the subjective image quality evaluation and the image characteristic factor. The experimental test results show that the video image adaptive enhancement algorithm has good enhancement effect, good real-time performance, can effectively mine the dark vision information, and can be widely used in different scenes.

A Study on the Effect of Problem Posing Learning on the Academic Achievement in Highschool Mathematics (고등학교 수학과에서 문제설정학습이 학업성취도에 미치는 효과에 관한 연구)

  • 윤남진
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.133-144
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    • 1999
  • This study aims at identifying the effect of problem posing on the academic achievement in high school mathematics. As subjects of the study, two classes of first grade in high school were selected. One of them was treated with problem posing learning, the other was treated with learning-in-a-body. Each has 40 students and was also divided into two groups(high- level and low-level) according to their learning-level. Two instruments were used for this study. One was the teaching-learning method developed by the researcher. The other was TTCT(Torrance Test of Creative Thinking). The 't-test' was used for this study and the significant level of test was within 5 percent. The results of this study are as follows: 1. The group with problem posing learning showed significantly higher academic achievement(learning-ability) than the one with learning-in-a-body. 2. There was no significant difference in the academic achievement(creativity) between the two groups. But there was significant difference in the creative factors. 3. There was no significant differences in the academic achievement between high-level-groups in each group. 4. There was significant difference in the academic achievement (learning-ability) between low-level groups in each group. And there was significant difference in the creative factors. On the basis of the results above, the following conclusions could be made. The problem posing learning method was more effective in the academic achievement in highschool mathematics than learning-in-a-body. Especially low-level group was more effective than high-level group. These facts implies that it is more effective for a teacher to adopt the problem posing learning considering the students' learning-levels.

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Analysis of Test Items and the Applicants' Responses on the Chemistry Part in the General Science of College Scholastics Ability Test (대학수학능력시험 공통과학 중 화학 영역의 문항 및 응시자 응답 분석)

  • Hong, Mi-Young;Jeon, Kyung-Moon;Lee, Yang-Rak;Yi, Bum-Hong
    • Journal of The Korean Association For Science Education
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    • v.22 no.2
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    • pp.378-386
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    • 2002
  • In this study, the students' responses on the chemistry items of in the general science of College Scholastics Ability Test (CSAT) implemented for the past 3 years since 1999 were investigated. The number of items by content and inquiry process, the average percent correct by content and inquiry process, the distribution of items by the level of percent correct, and the items with high and/or low percent correct were analysed. There were the fewest items in 'environment' area, especially in 'ozon layer', no test item had been made. The most difficult content area was 'acid rain' in 'environment'. By inquiry process, the most number of items belonged to 'analyzing & interpreting data', and 'identifying problems & formulating hypothesis' was the most difficult process. No test item came under the level of 'very difficult', and many items under the 'easy' or 'very easy' level. Students were generally poor at solving test items demanding several concepts, and very good at simply requiring basic concept treated in lower grade. Educational implications are discussed.

A Study on Stiffness-based Optimal Design of Tall Plane Frameworks using Composite Member (합성부재를 이용한 고층평면골조의 강성최적설계에 관한 연구)

  • Kim, Ho-Soo;Lee, Han-Joo
    • Journal of Korean Association for Spatial Structures
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    • v.4 no.3 s.13
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    • pp.77-84
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    • 2004
  • This study presents an effective stiffness-based optimal technique to control quantitatively lateral drift for tall frameworks using composit member subject to lateral loads. To this end, displacement sensitivity depending on behavior characteristics of tall frameworks is established and approximation concept that preserves the generality of the mathematical programming and can efficiently solve large scale problems is introduced. Specifically, under the 'constant-shape' assumption, resizing techniqe of composite member is developed. Two types of 50 story frameworks are presented to illustrate the features of the quantitative lateral drift control technique proposed in this study.

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Sensitivity Error Analyses with Respect to Shape Variables in a Two-Dimensional Cantilever Beam (2차원 외팔보의 형상변수에 대한 민감도 오차해석)

  • 박경진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.1
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    • pp.11-20
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    • 1993
  • Sensitivity information is required in the optimal design process. In structural optimization, sensitivity calculation is a bottleneck due to its complexities and expensiveness. Various schemes have been proposed for the calculation. Analytic and finite difference methods are the most popular at the present time. However, they have advantages and disadvantages in different ways. Semi-anayltic method has been suggested to overcome the difficulties. In spite of the excellency, the semi-analytic method has been found to possess numerical error quite much with respect to shape variables. In this research, the error from each method is evaluated and compared using a shape variable. A two-dimensional beam is selected for an example since it has mathematical solution. An efficient method is suggested for the structural optimization which utilizes finite element method.

Experimental Investigation on Behaviour of Arrested Saline Wedge (정상 염수쐐기 거동 특성에 대한 실험적 연구)

  • Shin, Hyun-Ho;Lyu, Si-Wan;Kim, Young-Do;Seo, Il-Won
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.874-878
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    • 2007
  • 최근 들어 하구의 이용도가 높아져 감에 따라 용수 취수, 염해 방지공, 하도 계획, 수질 개선 등의 문제와 관련하여 하도 내로 침입하는 염수쐐기를 적절히 제어해야 될 필요성이 대두되고 있다. 이를 위해 염수쐐기의 형태와 거동특성을 정확하게 예측하고 내부유동 구조를 구명하는 것이 필요하다. 염수쐐기의 수리학적 특성에 관한 국내외 연구는 미흡한 실정이다. 국내에서는 하구에서의 유동장 해석을 위한 연구와 염수침입 현상과 반대로 담수 유출이 해양환경에 미치는 영향에 관한 해양공학적 연구가 주로 수행되었다. 국외에서는 1950년대 초반에 하구에서의 염도 혼합양상과 확산계수의 결정 및 수학적 모형에서 각 항들의 상대적 중요성 평가와 같은 기초적인 연구가 수행되었으며, 1970년대에 컴퓨터의 급속한 발전에 힘입어 다양한 수치적 기법이 개발되어 폭이 좁고 성층화된 하구에서의 수치계산이 수행되었다. 본 연구에서는 정상 염수쐐기의 형태 및 거동특성을 파악하기 위하여 수리실험을 수행하였다. 실험은 염수수조, 담수유입부, 수로부로 구성된 실험수로에서 수행되었으며, 염수와 담수간의 밀도차에 근거하여 실험 조건을 설정하였다. 실험을 통하여 밀도차와 담수유입량에 따라 염수쐐기의 형태 및 거동특성이 지배됨을 관찰할 수 있었다.

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Modeling of Railway Networks for LRT Test Line Using Petri Nets (페트리 네트를 이용한 경량전철시험선 선로의 모형화)

  • Choi, Kwon-Hee;Song, Joong-Ho;Choi, Kyu-Hyoung;Hwang, Hyun-Chyeol
    • Journal of the Korean Society for Railway
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    • v.13 no.6
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    • pp.570-576
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    • 2010
  • This paper presents the use of the Petri Net Method for modeling railway tracks. The Petri Net is defined as having the characteristics of a parallel, asynchronous, distributed, inconclusive, statistical, etc. information handling system and is a graphical mathematical modeling tool to study the specifics of active movement. It's proven use can be seen at the Korean type Light Rail testing tracks where they modelled the Petri Net method using the train track encasing the segment, track, turnout, and platform as a singular factor and even though two trains either travelling in the same or opposite directions on a single test track equipped with a sidetrack can travel with the guarantee that the two will not collide.