• Title/Summary/Keyword: SAGE program

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Development of smart-phone contents for mobile linear algebra (모바일 선형대수학 스마트폰 콘텐츠 개발과 활용)

  • Kim, Kyung-Won;Lee, Sang-Gu
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.121-134
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    • 2013
  • Linear Algebra are arguably the most popular math subjects in colleges. We believe that students' learning and understanding of linear algebra can be improved substantially if we incorporate the latest advanced information technologies in our teaching. We found that the open source mathematics program 'Sage' (http://sagemath.org) can be a good candidate to achieve our goal of improving students' interest and learning of linear algebra. In particular, we developed a simple mobile content which is available for Sage commands on common cell phones in 2009. In this paper, we introduce the mobile Sage which contains many Sage functions on a smart-phone and the mobile linear algebra content model(lecture notes, and video lectures, problem solving, and CAS tools) and it will be useful to students for self-directed learning in college mathematics education.

A METHOD OF COMPUTATIONS OF CONGRUENT NUMBERS AND ELLIPTIC CURVES

  • Park, Jong-Youll;Lee, Heon-Soo
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.177-192
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    • 2010
  • We study the concepts of congruent number problems and elliptic curves. We research the structure of the group of elliptic curves and find out a method of the computation of L($E_n$, 1) and L'($E_n$, 1) by using SAGE program. In this paper, we obtain the first few congruent numbers for n ${\leq}$ 2500.

Determination of Composite Strength Parameter Using Elasto-Plastic Theory (탄소성이론을 이용한 복합지반의 대표 강도정수 예측)

  • 이주형;김영욱;박용원
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.03a
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    • pp.93-100
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    • 2002
  • Vertical reinforcement of soft soils using the deep mixing method has received increasing applications. In this study, the theory of elasticity and plasticity including the upper bound theorem of limit analysis were used to derive the equations for obtaining composite elastic properties and shear strength parameters. The developed equations were validated using the finite element computer program SAGE CRISP. The analysis involved 4 different cases-two different type of soil and replacement ratios. Tile results of the analysis show that the proposed equations could determine the properties of composite material for practical applications.

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Quantitative Analysis of Nucleic Acids - the Last Few Years of Progress

  • Ding, Chunming;Cantor, Charles R.
    • BMB Reports
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    • v.37 no.1
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    • pp.1-10
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    • 2004
  • DNA and RNA quantifications are widely used in biological and biomedical research. In the last ten years, many technologies have been developed to enable automated and high-throughput analyses. In this review, we first give a brief overview of how DNA and RNA quantifications are carried out. Then, five technologies (microarrays, SAGE, differential display, real time PCR and real competitive PCR) are introduced, with an emphasis on how these technologies can be applied and what their limitations are. The technologies are also evaluated in terms of a few key aspects of nucleic acids quantification such as accuracy, sensitivity, specificity, cost and throughput.

Determination of Equivalent Properties of Composite Foundation Using Elasto-plastic Theory (탄소성 이론을 이용한 복합지반의 등가특성치 예측)

  • 이주형;이상익;김영욱;김병일
    • Journal of the Korean Geotechnical Society
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    • v.19 no.2
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    • pp.179-187
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    • 2003
  • Vertical reinforcement of soft ground using granular column is a very effective ground improvement technique which is being used fur increasing bearing capacity and decreasing settlement. In this study, the theories of elasticity and plasticity including the upper bound theorem of limit analysis were used to derive the equations for obtaining elastic properties and shear strength parameter of equivalent ground of composite foundation. The developed equations were verified using the finite element computer program, SAGE CRISP. For validation, finite element analyses were conducted f3r the various different cases including different type of soil and replacement ratios. The results of the analysis show that the proposed equation could determine the properties of equivalent ground material for practical application effectively.

Mathematics, Art and 3D-Printing in STEAM Education (수학과 예술을 3D 프린팅으로 연결하는 융합인재교육)

  • Lee, Sang-Gu;Lee, Jae-Yoon;Park, Kyung-Eun;Lee, Jae Hwa;Ahn, Seung-Chul
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.35-49
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    • 2015
  • 3D-Printing is one of the most innovative technologies that will be widely used in the 21st century. 3D-Printing also serves as an indispensable tool in STEAM education. In this article, we introduce what we have done in our mathematical modeling class in Uni. and recent R&E project under the support of Korean Foundation for the Advancement of Science and Creativity. We planned a model of STEAM education originating from our wish to make tangible models that use mathematical formulas to express the natural beauty of an object. We used a free, open-source software, Sage, to simulate these models online. Then, we created a program that generates a .STL file from these 3D images. This model can help students understand the natural beauty inherent in mathematics and use formulas and technology tools to simulate models in 3D. Finally, we were able to help students to create their own. STL files through a website we developed by adding Sage code into a Sage notebook. Then students can make and hold a 3D object of their very own. This process shows the possibility that mathematics, art and 3D-Printing can be effectively used to achieve the goals of STEAM education.

The Analysis of Pile Bridge Abutments on Soft Clay for Loading from Lateral Soil Movement (연약지반상에 측방유동을 받는 교대말뚝기초의 거동분석)

  • Lee, Song;Kang, Dae-Won
    • Journal of the Korean Society for Railway
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    • v.7 no.2
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    • pp.149-154
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    • 2004
  • Pile Bridge Abutments constructed on a soft base are affected by a lateral flow. Laterl flow pressure acting on Pile is very difficult to calculate because of, interation of ground and Pile. So, it is different to estimate displacement of Pile Bridge Abutments. This paper studied about possibility of the displacement estimation of Pile Bridge Abutments by using the equivalent sheet pile wall theory that was Randolph proposed in 1981. Analysis program through using the SAGE CRISP that is FEM program. Analysis data used Centrifuge test results of Springman(1991), Bransby(1997) and Ellis(1997)'s paper. In conclusion, maxium displacement that is carried out by centrifuge test and numerical analysis has occured at the head of pile, as well as Maximum displacement of pile is closely similar. But the moment acting on pile of numerical analysis is under estimated compare to the centrifuge test. Through the comparative study, it is found that displacement estimation by equivalent sheet pile wall is in relatively good agreement with the results of centrifuge test.

Effects of Aromatherapy on Menstrual Cramps and Dysmenorrhea in College Student Woman : A Blind Randomized Clinical Trial (아로마테라피가 여대생의 생리통 및 월경곤란증에 미치는 효과)

  • Han, Sun-Hee;Ro, You-Ja;Hur, Myung-Haeng
    • Korean Journal of Adult Nursing
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    • v.13 no.3
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    • pp.420-430
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    • 2001
  • This study was designed to verify the effect of aromatherapy on menstrual cramps and dysmenorrhea by a quasi experiment (nonequivalent control group pretest-posttest design), from March to October, 2000. The subjects of this experiment consisted of 45 college women with menstrual cramps and dysmenorrhea. They were randomized by 25 for the experimental group and 20 for the control group. Their mean age was 20.6 years, mean menstrual period 28.7 days, mean menstrual cramps(VAS) 7.25, mean dysmenorrhea (Dysmenorrhea Scale) was 27.34. As treatment, aromatherapy was to give effleurrage of the abdomen with lavender, clary sage and rose as aroma oil, almond oil as carrier oil. For the control group, abdominal massage was given with only almond oil. Data collection included menstrual cramps, dysmenorrhea, the change of symptoms(low abdominal pain, lumbago, headache, nausea, fatigue, edema). Menstrual cramps, dysmenorrhea and general, menstrual characteristics of subjects were measured the first day of the pre menstrual period before treatment (pre-test), menstrual cramps, dysmenorrhea, the change of symptoms were measured the first and second day of post menstrual period after treatment (posttest). Data were analyzed by t-test, $\chi^2$- test, repeated measures ANOVA, Cronbach's ${\alpha}$ with SAS Program. The results of this study was as follows; 1. Menstrual cramps was significantly lower in the experimental group(p = .001). 2. Dysmenorrhea was significantly lower in the experimental group(p = .027). 3. Less women in the experimental group complained about the six symptoms than women in the control group after treatment on the first day of the menstrual period(p < 0.05, p < 0.01) In conclusion, these findings indicate that aromatherapy with lavender, clary sage, and rose could be effective to decrease menstrual cramps, and dysmenorrhea. So, aromatherapy could be applied to women suffering with menstrual cramps, dysmenorrhea periodically as an nursing intervention.

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A Study on Development of Teaching & Learning Materials related to Coding for Convergence Education Integrating Mathematics and Information (수학·정보 융합교육을 위한 코딩과 연계한 교수학습 자료 개발 연구)

  • Shin, Gicheol;Suh, Boeuk
    • Journal of Science Education
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    • v.43 no.1
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    • pp.17-42
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    • 2019
  • This study, as an attempt to integrate mathematics and information for convergence education, was conducted to develop teaching-learning materials on mathematics education combined with coding education, which has recently been emphasized. We chose the subject of digital signature for coding education, and used SageMath as a coding program. In this study, we overview mathematics used in the elliptic curve digital signature algorithm, one of the many methods for digital signature, and developed the teaching-learning materials on the algorithm for mathematics education integrated with information education based on coding. The elliptic curve digital signature algorithm utilized in transactions of Bitcoin, which many people recently are interested in, is a good example, showing students that mathematics is applied to problem-solving in the real world and provides an optimal environment for implementation by coding. Accordingly, we expect that a class on algorithm will provide a specific teaching-learning program to achieve the goal of integrated mathematics education. By comprehensively considering the opinions of mathematicians, mathematics teachers and mathematics education experts, we expect that the teaching-learning program will be realized as a meaningful class in science high schools, high school's math clubs, and 'number theory' class in colleges.

Development of a Quality Assurance Safety Assessment Database for Near Surface Radioactive Waste Disposal

  • Park J.W.;Kim C.L.;Park J.B.;Lee E.Y.;Lee Y.M.;Kang C.H.;Zhou W.;Kozak M.W.
    • Nuclear Engineering and Technology
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    • v.35 no.6
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    • pp.556-565
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    • 2003
  • A quality assurance safety assessment database, called QUARK (QUality Assurance Program for Radioactive Waste Management in Korea), has been developed to manage both analysis information and parameter database for safety assessment of low- and intermediate-level radioactive waste (LILW) disposal facility in Korea. QUARK is such a tool that serves QA purposes for managing safety assessment information properly and securely. In QUARK, the information is organized and linked to maximize the integrity of information and traceability. QUARK provides guidance to conduct safety assessment analysis, from scenario generation to result analysis, and provides a window to inspect and trace previous safety assessment analysis and parameter values. QUARK also provides default database for safety assessment staff who construct input data files using SAGE(Safety Assessment Groundwater Evaluation), a safety assessment computer code.