• Title/Summary/Keyword: Mathematica

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수학창조의 주체전환에 대한 고찰

  • 한재영
    • Journal for History of Mathematics
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    • v.13 no.1
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    • pp.89-98
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    • 2000
  • This paper analyzes the philosophy of mathematics as the ancient Egypt. This article provides an overview of computer programing capacities by Mathematica. To give an idea of mathematical graphic's capacities, practical example will be computed.

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A study on the approximation function for pairs of primes with difference 10 between consecutive primes (연속하는 두 소수의 차가 10인 소수 쌍에 대한 근사 함수에 대한 연구)

  • Lee, Heon-Soo
    • Journal of Internet of Things and Convergence
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    • v.6 no.4
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    • pp.49-57
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    • 2020
  • In this paper, I provided an approximation function Li*2,10(x) using logarithm integral for the counting function π*2,10(x) of consecutive deca primes. Several personal computers and Mathematica were used to validate the approximation function Li*2,10(x). I found the real value of π*2,10(x) and approximate value of Li*2,10(x) for various x ≤ 1011. By the result of theses calculations, most of the error rates are margins of error of 0.005%. Also, I proved that the sum C2,10(∞) of reciprocals of all primes with difference 10 between primes is finite. To find C2,10(∞), I computed the sum C2,10(x) of reciprocals of all consecutive deca primes for various x ≤ 1011 and I estimate that C2,10(∞) probably lies in the range C2,10(∞)=0.4176±2.1×10-3.

Development and Formative Evaluation of Web-based Contents for Engineering Mathematics Based on a Computer Algebra System (컴퓨터 대수 시스템 기반의 이공계 수학용 웹 콘텐츠 개발과 형성 평가)

  • Jun, Young-Cook;Kim, Jin-Young;Kwon, Sun-Kweol;Heo, Hee-Ok
    • Journal of the Korean School Mathematics Society
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    • v.10 no.1
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    • pp.27-43
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    • 2007
  • The aim of this paper is to develop a web-based learning system in order to motivate college students in the area of science and engineering to study college calculus. We designed and developed web-based contents, named MathBooster, using Mathematica, webMathematica and phpMath taking advantages of rapid computation and symbolic computation. The features of MathBooster consists of four parts: graphical representation of calculus concepts, textual illustrations of conceptual understanding, example-based step-by-step learning with phpMath, and quizzes with diagnostic feedback. After the MathBooster was practiced with engineering students, the formative evaluation was conducted with survey items composed in four categories: user responses, screen layout, practicing examples and diagnostic feedback in solving quizzes. The overall level of user satisfaction was statistically measured using SPSS. Those results indicate which parts of MathBooster are needed for future enhancement.

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A Study on the characteristic a reflector of retaining wall by PV module (PV module을 이용한 옹벽용 반사판 특성에 관한 연구)

  • 김대근
    • Proceedings of the KIPE Conference
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    • 2000.07a
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    • pp.41-44
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    • 2000
  • This paper represent about design of the controller for battery of a reflector of retaining wall for power supply using PV Module. Simulation is represents V-I and power characteristic by Mathematica & Design Cneter 6.3 & Qnet 2.1 Finally we composed of road surface-signpost system. This system is successfully operating with high clearness lights.

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통계학 과목 교수 시 수학패키지의 활용에 대한 소고(小考)

  • Jang, Dae-Heung
    • Proceedings of the Korean Statistical Society Conference
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    • 2002.11a
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    • pp.235-237
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    • 2002
  • 통계학 과목 교수 시 보조 수단으로 자주 사용하는 것이 통계패키지이다 이러한 통계패키지 외에 수학패키지를 통계학 과목 수업에 활용하면 학습효과를 높이는 데 효과적일 것이다.

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ERROR ANALYSIS USING COMPUTER ALGEBRA SYSTEM

  • Song, Kee-Hong
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.17-26
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    • 2003
  • This paper demonstrates the CAS technique of analyzing the nature and the structure of the numerical error for education and research purposes. This also illustrates the CAS approach in experimenting with the numerical operations in an arbitrary computer number system and also in doing error analysis in a visual manner.

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Comparison of Linear-Quadratic Model, Incomplete-Repair Model and Marchese Model in Fractionated Carbon Beam Irradiation (탄소 빔 분할조사 시 Linear-Quadratic모델, Incomplete-Repair모델, Marchese 모델 결과 비교)

  • Choi, Eunae
    • Journal of the Korean Society of Radiology
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    • v.9 no.6
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    • pp.417-420
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    • 2015
  • We obtained Surviving Fraction (SF) after irradiation carbon beam to compare the applicability of the Linear-Quadratic model, Incomplete Repair model, Marchese model. Mathematica software(ver 9.0) used to calcurate parameters and compared result. LQ model could not explain the entire response of fractionated carbon beam irradiation. It becomes necessary to construct models that extend the LQ model of conventional radiotherapy for the carbon beam therapy. By combining both Potentially Lethal Damage Repair (PLDR) and Sublethal Damage Repair (SLDR) a new LQ model can develop that aptly modeled the cellular response to fractionated irradiation.

Linear Algebra Class Model using Technology(Matlab) - LINEAR SUBSPACES OF $R^n$ - (시각화를 이용한 선형대수학 교수학습모델 - $R^n$의 부분공간 -)

  • Kim, Duk-Sun;Lee, Sang-Gu;Jung, Kyung-Hoon
    • Communications of Mathematical Education
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    • v.21 no.4
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    • pp.621-646
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    • 2007
  • In our new learning environment, we were asked to change our teaching method in our Linear Algebra class. In mathematics class, we could use several math-softwares such as MATHEMATICA, MATLAB, MAPLE, Drive etc.. MATLAB was quite well fit with our Linear Algebra class. In this paper we introduce an efficient way of delivery on important concepts in linear algebra by using well-known MATLAB/ATLAST M-files which we downloded from http://www.umassd.edu/specialprograms/atlast/.

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Using Mathematics Education(Integration Method) through Computer (컴퓨터를 이용한 수학 교육(적분 방법)에 대한 연구)

  • Jun, Sang-Pyo
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.1
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    • pp.213-218
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    • 2008
  • Through the development of computer and multimedia, many different kinds of theories about instructional method are presented. Especially, many lectures in associated with E-learning are done. In mathematics teaching, mathematica-algebra system lecturing, computer and Maple Matlab lecturing etc, are accomplished. There are many controversies among educators in problems originated by computer teaching. In this paper, we going to make a research about problems which are caused by mathematics computer-based education and present a desirable way of computer based education through studying comprehension rate and application ability among learner who uses omputer learning and other learner who uses exiting blackboard-based learning with statistical analysis after sampling test

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The Exact Field Representation in Cylindrical Cavity Resonators with Concentric Dielectric-rod (동심 유전체 봉이 삽입된 원통형 공진기의 정확한 전자계 표현)

  • Choi, Hong-Ju;Lee, Won-Hui;Hur, Jung;Choi, Gwang-Je;Lee, Sang-Young
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.8
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    • pp.1399-1406
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    • 2000
  • The exact electromagnetic field in cylindrical cavity with concentric dielectric rod is analyzed. Resonant frequency of dielectric loaded cavity is calculated by analyzing the characteristic equation. The characteristic equation is solved by using the ContourPlot graph of Mathematica. As the result of comparing calculation value and experimental value of resonant frequencies, we know that the field representation of traveling mode is exact.

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