• Title/Summary/Keyword: 수학일지

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Revolutionary Evolution on the Hydrological Climatology using 4-dimensional Rain Indexes (4차원 강수지수를 이용한 강수기후연구의 혁명적 진화)

  • BYUN, Hi Ryong
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.648-648
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    • 2015
  • 이 연구는 수자원 환경을 전반적으로 객관화, 계량화하는 새로운 방법이 성공적임을 소개한다. 기존의 계량법이 일강수량, 월 강수량, 년 강수량 등등, 단순한 수학적 합계에 치중한 결과 가중 중요한 강수의 시간 분포를 간과하였다. 이 단점을 해결하여, 1) 구체적으로 매 시간, 매일 남아 있다고 추정되는 물의 양 만을 합산하는 방법을 택했다. 시간적 감소함수를 이용하여, 강수 후 유출과 증발 등으로 사라지는 물의 양을 고려한 것이다. 2) 합산기간을 객관화하였다. 기본 합산 기간을 365일로 하고, 물 부족 또는 물 과잉이 지속될 경우는 지속되는 기간만큼, 합산기간을 늘이는 방법을 택했다. 따라서 다른 지수들이 임의로 3개월 또는 12개월 등등으로 기간을 결정하는 단점을 해결했다. 이렇게 계산되는 4차원 강수지수(4-Dimensional Rain Index, 4RI)는 1) 일별유효강수지수 (AWRI), 2) 일별가뭄지수(EDI), 3) 일별 홍수지수(FI), 4) 시간별 장기 물지수(LWI), 5) 시간별 단기 물지수(SWI) 등 5개가 기본지수이다. AWRI는 매일 남아 있는 물의 양이다. 이로 인해, 전 지구의 수자원과 재해위험의 시공간적 분포의 정량화 분석이 정밀해졌다. 지구상에서 물 집중이 가장 강한 곳은 캄보디아 내의 한 지점이며 시기는 7월 말이고, 가장 약한 곳은 사하라 사막의 한 지역임이 확인되었다. 또 한국에서 발생하는 갈수기와 풍수기가 정의되었고, 이들의 각 지역별 특성과 차이가 정량적으로 드러났다. 시간적 분포 또한 명확하게 드러나, 각종 저수지의 물 관리나 농?임산물의 생산관리에 획기적 전환점이 마련되었다. 각 국가별로, 각 지역별로 이런 분석은 향후도 무수히 시도되어야 할 것이다. EDI는 매일의 AWRI를 그 날짜의 평균치와 비교한 값이다. 장기가뭄 및 단기가뭄의 강도를 모두 가장 정밀하게 표현한다. FI는 일별로 홍수, 산사태, 침수, 토사 (이하 홍수 등이라 칭함)의 위험을, LWI는 장기 누적된 강수량에 의한 돌발적 홍수 등의 위험을, SWI는 단기 누적된 강수량에 의한 돌발적 홍수 등의 위험을 잘 반영한다. 이들은 모두 시간적으로 산발적인 호우에 의한 홍수 등의 위험을 한 개의 지수로 표현해 주는 장점이 있다. 강수 후 홍수가 발생하기 까지는 시간차이가 있기 때문에, 특히 호우 경보에는 SWI가, 홍수 경보에는 LWI가 아주 효과적이다. 결론적으로 5개의 4차원 강수지수는 물환경의 시공간적 분포진단과 예측, 그리고 조기경보에 혁명적 진화를 초래함이 확인되었다. 따라서 추후 모든 강수기후와 연관된 연구는 연강수량 등의 단순 합산보다, 4차원 강수지수를 먼저 사용하는 것이 바람직 할 것임이 제안되었다.

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Why Won't the Field Wall Collapse in the Typhoon? : Mathematical Approach to Non-orthogonal Symmetric Weighted Hadamard Matrix I (밭담은 태풍에 왜 안 무너지나?: 비직교 대칭 하중 아다마르 행렬에 의한 수학적 접근 I)

  • Lee, Moon-Ho;Kim, Jeong-Su
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.5
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    • pp.211-217
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    • 2019
  • The three major inventions of Jeju include the field wall of Kim Koo Pan Gwan in 1234, Jeongnang in the custom of grazing the people of Jeju, and Olleh in the tomb of Munbang-gui in 1406. Field wall, Oedam from the stone and the stone of numerical play, made Koendang, a friendship society. Even with a typhoon that is more than 30m/s, the Koendang which is about 1.5m high, will not collapse. Similarly, the main family networks of Jeju society do not collapse under any difficulties situation. When building a field wall, two stones, which are under the ground, are placed side by side, and the upper left stone is placed on top and the upper right stone is attached regularly. One stone or two stone is attached from the bottom to the top, and when a stone is small or large, a flat field is formed in one space. The Family networks is close to the grandfather, grandmother, father, mother, and me, and the distant kin represents a horizontal relationship. The field wall is a vertical relationship that builds up from bottom to top of the vertical relation, while the Koendang is a horizontal relationship where blood is distributed to the grandson of his upper grandparents. This paper proves by a non-orthogonal symmetric weighted Hadamard matrix of whether the stone in the middle of a field wall has large stones (small).

Kinematic Approximation of Partial Derivative Seismogram with respect to Velocity and Density (편미분 파동장을 이용한 탄성파 주시 곡선의 평가)

  • Shin, Chang-Soo;Shin, Sung-Ryul
    • Geophysics and Geophysical Exploration
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    • v.1 no.1
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    • pp.8-18
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    • 1998
  • In exploration seismology, the Kirchhoff hyperbola has been successfully used to migrate reflection seismo-grams. The mathematical basis of Kirchhoff hyperbola has not been clearly defined and understood for the application of prestack or poststack migration. The travel time from the scatterer in the subsurface to the receivers (exploding reflector model) on the surface can be a kinematic approximation of Green's function when the source is excited at position of the scatterer. If we add the travel time from the source to the scatterer in the subsurface to the travel time of exploding reflector model, we can view this travel time as a kinematic approximation of the partial derivative wavefield with respect to the velocity or the density in the subsurface. The summation of reflection seismogram along the Kirchhoff hyperbola can be evaluated as an inner product between the partial derivative wavefield and the field reflection seismogram. In addition to this kinematic interpretation of Kirchhoff hyperbola, when we extend this concept to shallow refraction seismic data, the stacking of refraction data along the straight line can be interpreted as a measurement of an inner product between the first arrival waveform of the partial derivative wavefield and the field refraction data. We evaluated the Kirchhoff hyperbola and the straight line for stacking the refraction data in terms of the first arrival waveform of the partial derivative wavefield with respect to the velocity or the density in the subsurface. This evaluation provides a firm and solid basis for the conventional Kirchhoff migration and the straight line stacking of the refraction data.

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Depth Dose Distribution of Proton Beams by Variation of Tumor Density using Geant4 (Geant4 전산모사를 이용한 종양의 밀도 변화에 따른 양성자의 선량 분포)

  • Kim, You-Me;Chon, Kwon-Su
    • Journal of the Korean Society of Radiology
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    • v.15 no.6
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    • pp.771-779
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    • 2021
  • It is necessary to overlap several peaks to form spread out Bragg peak (SOBP) in order to cover the tumor volume because a mono-energetic proton beam forms a narrow Bragg peak. The tumor density has been considered as a brain tissue and then the absorbed dose of the tumor is calculated using Monte Carlo simulations. However, densities of tumors were not a constant. In this study, the SOBP of proton beams was calculated according to changing density of tumors by using Geant4. Tumors were selected as 10 mm and 20 mm width which were the treatment range in the brain phantom. The energies and relative weights of the proton beams were calculated using mathematical formula to form the SOBP suitable for the location and size of the tumor. As the density of the tumor was increased, the 95% modulation range and the practical range were decreased, and average absorbed dose in the 95% modulation range was increased. The change of the tumor density affects the dose distribution of the proton beams, which results in short SOBP within the tumor volume. The consideration of the tumor density affects the determination of the range, so that the margin of the treatment volume can be minimized, and the advantages of proton therapy can be maximized.

A Topic Analysis of College Education Using Big Data of News Articles (뉴스 빅데이터를 통해 검토한 대학교육의 토픽 분석)

  • Yang, Ji-Yeon;Koo, Jeong-Ho
    • Journal of Digital Convergence
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    • v.19 no.12
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    • pp.11-20
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    • 2021
  • This study extracts topics related to university education through newspaper articles and analyzes the characteristics of each topic and the reporting patterns of each newspaper. The 9 topics were discovered using LDA. Topic 1 and Topic 3 are related to university support projects for education, but Topic 3 is focused on local universities. Topic 2 is about university education after COVID-19, Topic 4 teaching-learning methods, Topic 5 government policies, Topic 6 the high school education contribution university support projects, Topic 7 the university education vision, Topic 8 internationalization, and Topic 9 the entrance exam. The Chosun Ilbo, Kyunghyang, and Hankyoreh reported a lot of articles associated to lectures after COVID-19, government policies, and comments on university education. Relevant articles since 2016 have been analyzed by newspaper type and before/after COVID-19 through which differences in the topics were studied and discussed. These findings would suggest a basic policy guideline for university education and imply that the positive and negative effects of the media need to be considered.

Fall detection based on acceleration sensor attached to wrist using feature data in frequency space (주파수 공간상의 특징 데이터를 활용한 손목에 부착된 가속도 센서 기반의 낙상 감지)

  • Roh, Jeong Hyun;Kim, Jin Heon
    • Smart Media Journal
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    • v.10 no.3
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    • pp.31-38
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    • 2021
  • It is hard to predict when and where a fall accident will happen. Also, if rapid follow-up measures on it are not performed, a fall accident leads to a threat of life, so studies that can automatically detect a fall accident have become necessary. Among automatic fall-accident detection techniques, a fall detection scheme using an IMU (inertial measurement unit) sensor attached to a wrist is difficult to detect a fall accident due to its movement, but it is recognized as a technique that is easy to wear and has excellent accessibility. To overcome the difficulty in obtaining fall data, this study proposes an algorithm that efficiently learns less data through machine learning such as KNN (k-nearest neighbors) and SVM (support vector machine). In addition, to improve the performance of these mathematical classifiers, this study utilized feature data aquired in the frequency space. The proposed algorithm analyzed the effect by diversifying the parameters of the model and the parameters of the frequency feature extractor through experiments using standard datasets. The proposed algorithm could adequately cope with a realistic problem that fall data are difficult to obtain. Because it is lighter than other classifiers, this algorithm was also easy to implement in small embedded systems where SIMD (single instruction multiple data) processing devices were difficult to mount.

Implementation of the Unborrowed Book Recommendation System for Public Libraries: Based on Daegu D Library (공공도서관 미대출 도서 추천시스템 구현 : 대구 D도서관을 중심으로)

  • Jin, Min-Ha;Jeong, Seung-Yeon;Cho, Eun-Ji;Lee, Myoung-Hun;Kim, Keun-Wook
    • Journal of Digital Convergence
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    • v.19 no.5
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    • pp.175-186
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    • 2021
  • The roles and functions of domestic public libraries are diversifying, but various problems have emerged due to internally biased book lending. In addition, due to the 4th Industrial Revolution, public libraries have introduced a book recommendation system focusing on popular books, but the variety of books that users can access is limited. Therefore, in this study, the public library unborrowed book recommendation system was implemented limiting its spatial scope to Duryu Library in Daegu City to enhance the satisfaction of public library users, by using the loan records data (213,093 cases), user information (35,561 people), etc. and utilizing methods like cluster analysis, topic modeling, content-based filtering recommendation algorithm, and conducted a survey on actual users' satisfaction to present the possibility and implications of the unborrowed book recommendation system. As a result of the analysis, the majority of users responded with high satisfaction, and was able to find the satisfaction was relatively high in the class classified by specific gender, age, occupation, and usual reading. Through the results of this study, it is expected that some problems such as biased book lending and reduced operational efficiency of public libraries can be improved, and limitations of the study was also presented.

Error analysis on factorization and the effect of online individualization classes (인수분해에 대한 오류 분석과 온라인 개별화 수업의 효과)

  • Choi, Dong-won;Heo, Haeja
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.83-105
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    • 2021
  • In this paper, we analyzed the misconceptions and errors incurred during factorization learning. We also examined whether online individualization classes had a positive effect on students' mathematical achievement. The experiment was conducted for 4 weeks (16 times in total) on middle school juniors in rural areas of Gyeonggi Province, where the influence of private extra education was small. In the class, the 'Google Classroom' was used as a LMS, the video lecture was uploaded to YouTube, and the teacher interacted with the students through "Zoom" and "Facetalk". In the online class situation, students' assignments and test answers were checked in real time through 'Google Classroom', and immediate feedback was provided to the experimental class group's students. However, for the control group students, feedback was provided only to those who desired. A total of 7 achievement evaluations were conducted in the order of pre-test, formative evaluation (5 times), and post-test to confirm the change in students' ability improvement and achievement. Through the formative evaluation analysis, it was possible to grasp the types of errors and misconceptions that occured during the factorization process. Students' errors were divided into four types: theorem or definition distortion error, functional errors such as calculation, operation, and manipulation, errors that do not verify the solution, and no response. As a result of ANCOVA, the two groups did not show any difference from the 1st to 4th formative assessment. However, the 5th formative assessment and post-test showed statistically significant differences, confirming that online individualization classes contributed to improvemed achievement.

Case Analysis and Applicability Review of Parametric Design in Landscape Architectural Design (조경 설계 분야에서 파라메트릭 디자인의 사례 분석과 활용 가능성)

  • Na, Sungjin
    • Journal of the Korean Institute of Landscape Architecture
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    • v.49 no.2
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    • pp.1-16
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    • 2021
  • The act of design in landscape architecture consists of a concept within a designer's mind, technical representations, and finally, a process of construction. In the 4th Industrial Revolution, the design process is facing many changes due to the rapid development of computer technology and the IT ecosystem. Computer technology was initially developed for simple functions, such as mathematical calculation and graphic representation. However, after the spread of Personal Computers, starting with IBM and Macintosh, programming languages and hardware rapidly developed, algorithms and applications became specialized, and the purpose of using computers became very diverse. This study diagnoses issues concerning the functions and roles that new design methods, such as computational design, parametric design, and algorithmic design, can play in landscape architecture based on changes in the digital society. The study focused on the design methodology using parametric technology, which has recently received the most attention. First, the basis for discussion was developed by examining the main concepts and characteristics of parametric design in modern landscape architecture. Prior research on the use of parametric design in landscape architecture was analyzed, as were the case studies conducted by landscape design firms. As a result, it was confirmed that parametric design has not been sufficiently discussed in terms of the number and diversity of studies compared to other techniques investigated by landscape design firms. Finally, based on the discussion, the study examined specific cases and future possibilities of the parametric design in landscape architecture.

Latent Profile Analysis on Vocational Competency of Students in Vocational High Schools and Vocational Program of General High School (직업계 고교생의 직업기초능력 잠재프로파일분석)

  • Lim, Jung-yeon;Lee, Young-min
    • Journal of vocational education research
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    • v.37 no.4
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    • pp.23-44
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    • 2018
  • The purpose of the study was to examine the vocational competency of students enrolled in vocational high schools including specialized vocational high school and meister vocational high school, and vocation program of general high school. We analyzed their vocational competency, based upon the vocational competency data of KCCI (Korea Chamber of Commerce & Industry). The results were as follow. First, latent profiles of subjects were categorized into four folds: general cognition-low adaption, cognition adaption general, pursuit of job adaption, low cognition-job mal-adaption. Each percentage of four groups was 39%, 30%, 11%, and 20%. Second, mainly, specialized vocational high school pattern is matched with vocational high schools' pattern. However, the cognitive competency of students in meister vocational high school was higher than that of student in vocation program of general high school. Third, latent profile group was clarified in terms of non-cognition aspect. Fourth, The higher the job adaption is, the higher the career decision level. We suggested some policy implications for improve the vocational competency.