• Title/Summary/Keyword: Mathematics Interesting

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Representations of involutive semigroups

  • Younki Chae;Park, Keunbae
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.213-219
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    • 1996
  • In this note we study the representations on Hilbert space of involutive semigroups, i.e., semigroups endowed with an involutive antiautomorphism. This subject is studied by K. H. Neeb, and some interesting results are ivestigated ([3]).

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A GENERALIZATION OF PREECE`S IDENTITY

  • Kim, Yong-Sup;Arjun K.Rathie
    • Communications of the Korean Mathematical Society
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    • v.14 no.1
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    • pp.217-222
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    • 1999
  • The aim of this research is to provide a generalization of the well-known, interesting and useful identity due to Preece by using classical Dixon`s theorem on a sum of \ulcornerF\ulcorner.

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CONGRUENCES ON TERNARY SEMIGROUPS

  • Kar, S.;Maity, B.K.
    • Journal of the Chungcheong Mathematical Society
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    • v.20 no.3
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    • pp.191-201
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    • 2007
  • In this paper we introduce the notion of congruence on a ternary semigroup and study some interesting properties. We also introduce the notions of cancellative congruence, group congruence and Rees congruence and characterize these congruences in ternary semigroups.

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SOME PROPERTIES OF A CERTAIN PATTERNED MATRIX

  • Park, Jong-Tae
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.485-493
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    • 2004
  • This paper presents the interesting properties of a certain patterned matrix that plays an significant role in the statistical analysis. The necessary and sufficient condition on the existence of the inverse of the patterned matrix and its determinant are derived. In special cases of the patterned matrix, explicit formulas for its inverse, determinant and the characteristic equation are obtained.

일본 소학교 산수과 신 학습지도 요령 분석

  • 박성택
    • Journal for History of Mathematics
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    • v.12 no.1
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    • pp.45-52
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    • 1999
  • This study is an analysis on the Arithmetic education curriculum of elementary school in Japan that will become effective from April 1, 2002. In new curriculum, loaming are highly reduced and mediated. This curriculum is characterized by the slow and interesting Arithmetic education focusing on creativity, student-based Arithmetic education, and real life-related Arithmetic education.

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On Subclasses of P-Valent Analytic Functions Defined by Integral Operators

  • Aghalary, Rasoul
    • Kyungpook Mathematical Journal
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    • v.47 no.3
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    • pp.393-401
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    • 2007
  • In the present paper we introduce the subclass $S^{\lambda}_{a,c}(p,A,B)$ of analytic functions and then we investigate some interesting properties of functions belonging to this subclass. Our results generalize many results known in the literature and especially generalize some of the results obtained by Ling and Liu [5].

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ON PAIRWISE FUZZY BASICALLY DISCONNECTED SPACES

  • Balasubramanian, G.;Chandrasekar, V.
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.85-93
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    • 2002
  • The concept of basic disconnectedness is introduced in the fuzzy bitopological spaces. Besides giving examples and some interesting properties of these spaces, we also establish several characterizations of these spaces.

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Co-existence of History of Mathematics and Modern Mathematics

  • Banihashemi, Saied Seyed Agha
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.261-267
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    • 2010
  • Both history of mathematics and education of mathematics is old subject. The question arises wether can these two important subjects can help each other or not. Unfortunately this idea made mathematics society into two groups; one has idea that history of mathematics can help education of mathematics and other group has idea that not only history of mathematics can not help education of mathematics but also it makes some confusion. In this article the author is going to do some comparison and take some conclusion that history of mathematics can make education of mathematics so active and interesting.

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A Study on History of Mathematics and Illustrations for Interesting in Mathematics Classes - Centering on Mathematics I of Highschool - (수학수업의 흥미유발을 위한 수학사 및 예화자료 연구 - 수학I을 중심으로 -)

  • 이덕호;이만희
    • Journal of the Korean School Mathematics Society
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    • v.3 no.1
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    • pp.59-67
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    • 2000
  • This study has been done to help teach mathematics on the spot of education by providing the history of mathematics and illustrations concerning mathematics, which were rearranged for the level of the second grade students in highschool and intented to interest students in mathematics classes. The contents of teaching, according to each unit (Matrix, Sequence, Limit, Differentiation, Integration, Probability, Statistics) include the life of the representative mathematician, the historical background centered on episodes, questions linked with reality, questions making sensations in history and something for maxim in mathematics. If such contents are properly used, they are expected to be able to stimulate students' curiosity, and to be effective in improving students' learning ability in mathematics by causing them to show their active attitudes toward learning mathematics.

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