• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.483-492
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• 2008

The k-fold pseudo-Newton's method is proposed and its convergence behavior is investigated near a simple zero. The order of convergence is proven to be at least k + 2. The asymptotic error constant is explicitly given in terms of k and the corresponding simple zero. High-precison numerical results are successfully implemented via Mathematica and illustrated for various examples.

• Communications of Mathematical Education
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• v.15
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• pp.215-222
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• 2003

직교좌표의 중요성과 극좌표의 이용을 알리고, 포물선좌표의 정의와 타원좌표의 정의를 소개하고 또 타원좌표를 이용하여 그래프를 그려본다. 타원좌표를 이용한 그래프 그리기를 통해 수학에 대한 흥미와 즐거움을 학생들에게 느끼도록 한다. 다양한 좌표계를 이용한 그래프 그리기를 비교해보고 매개변수로 표현된 방정식의 그래프 그리기에 대해 여러 가지 좌표계에 대한 유용성을 알아본다. Mathematica를 이용하여 여러 가지 좌표계에서 관심있는 곡선의 방정식을 만들어보고 그래프를 그려보며 유용한 좌표계에 대해 알아본다.

• Journal of Integrative Natural Science
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• v.3 no.4
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• pp.241-245
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• 2010

In this paper, we study how to use CAS to solve certain minmax problems. More specifically, we reduce some to the problems about the packing of certain convex sets in the plane, and use Recognize algorithm to obtain good hypotheses for results. This method can be widely used to solve same types of mathematical problems.

• Journal of applied mathematics & informatics
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• v.9 no.1
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• pp.401-413
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• 2002

In this paper, we consider hyperstructures (H,.) defined on the set H = {e, a, b}. We study the hyperstructure of H when every element is one of a scalar unit, a unit or a weak scalar. On those conditions the $H_{\upsilon}$-quasigroups are classified. And we obtain the 15 minimal $H_{\upsilon}$-groups and 2 non-quasi $H_{\upsilon}$-semigroups For these we use the Mathematica 3.0 computer programs.

• Honam Mathematical Journal
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• v.41 no.2
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• pp.329-342
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• 2019

In this paper, we give a geometric approach to Killing magnetic flux surfaces in Euclidean 3-space and solve the differential equations which expressed the mentioned surfaces. Furthermore we give some examples and draw their pictures by using the programme Mathematica.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.7 no.4
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• pp.73-80
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• 1997

유한체 위에서 다항식의 근을 구하는 문제는 수학의 오래된 문제중 하나이고 최근들어 암호학과 관련하여 유한체 위서의 다항식 연산과 성질등이 쓰이고 있다. 유한체 위에서 다항식의 최대공약수(greatest common divisor) 를 구하는데 많은 시간이 소요 된다. Rabin의 알고리즘에서 주어진 다항식의 근들의 곱(F(x), $x^{q}$ -x)를 구하는 과정을 c F(p), $f_{c}$ (x)=(F(x), $T_{r}$ (x)-c), de$gf_{c}$ (x)>0인 $f_{c}$(x) s로 대체한 효율적인 알고리즘 제안과 Mathematica를 이용한 프로그램의 실행 결과를 제시한다.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.125-141
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• 2010

The aim of this paper is to develop a web-based Virtual Learning System for discrete mathematics learning using CAS (Computer Algebra System), The system contains a series of contents that are common between secondary und university curriculum in discrete mathematics such as sets, relations, matrices, graphs etc. We designed and developed web-based virtual learning contents contained in the proposed system based on Mathematia, webMathematica and phpMath taking advantages of rapid computation and visualization. The virtual learning system for discrete math provides movie lectures and 'practice mode' authored with phpMath in order to enhance conceptual understanding of each movie lesson. In particular, matrix learning is facilitated with conceptual diagram that provides interactive quizzes. Once the quiz results are submitted, Bayesian inference network diagnoses strong and weak parts of learning nodes for generating diagnostic reports to facilitate personalized learning. As part of formative evaluation, the overall responses were collected for future revision of the system with 10 university students.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.12 no.5
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• pp.747-754
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• 2001

This paper describes measurement of relative permittivity of illite found in young-dong area. A measurement of relative permittivity of the illite was made using cylindrical cavity resonators with a moveable cap. A concentric dielectric-rod inserted the cylindrical cavity resonator and an exact field representation of non-decaying mode of the resonator are introduced for the measurement of relative permittivity. The exact electromagnetic fields in cylindrical cavity with a concentric dielectric rod is analysed. The relative permittivity of dielectric in the cavity is calculated by analyzing a characteristic equation. The characteristic equation is solved by using the ContourPlot graph of Mathematica. We know that the field representation of non-decaying mode is exact. As a result, the relative permittivity of dielectric materials was 7.820 for a sample with binder and 7.894 for a pure sample.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.11 no.8
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• pp.1420-1427
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• 2000

We described a method to obtain electromagnetic solution and resonant frequencies in dielectric-disc loaded cylindrical cavity resonators. Resonant frequency of dielectric-disc loaded cylindrical cavity resonators is calculated by analyzing the characteristic equation. The characteristic equation is solved by using the ContourPlot graph of Mathematica. As increasing to height of cavity, we compare the calculated resonant frequency with experimental frequency. The calculated results well agree with the experimental ones. The error between them is 0.2% or 1.6% for the case of the top plate is close to or far from concentric dielectric-disc, respectively.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.8 no.3
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• pp.686-693
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• 2004

We have studied a method to fabricated a Surface Acoustic Waves (SAW) filter for Wide band Codeless Division Multiple Access(WCDMA) was formed on the Langasite substrate and was evaporated by Aluminum-Copper alloy and then we developed a simulator using the mathematica package. And, we can design and fabricate the Slanted finger Inter-digital Transducer (SFIT) for the purpose to decreased the ultimate rejections on side of the electrodes, and performed computer-simulation by simulator. Also, we have employed that the block weighted type Inter-digital Transduce(IDT) as input transduce of the filter and the withdrawal weighted type IDT as an output transducer of the filter in order to minimize effect of diffractions. We have employed that the number of pairs of the input and output IDT are 50 pairs and the thickness and the width of reflector are $5000\AA$, and $1\lambda/4(\cong3.6{\mu}m)$, respectively. Also the width of IDT' finger and the space between IDT' finger and reflector are $1\lambda$/16 and 1\lambda$/8, respectively. Frequency response of the fabricated SAW bandpass filter has the property that center frequency is about 190MHz, bandwidth at the 3dB is probably 4MHz and out-band attenuation is -60dB approximately.