• 제목/요약/키워드: level algebra

검색결과 85건 처리시간 0.025초

On the Teaching Linear Algebra at the University Level: The Role of Visualization in the Teaching Vector Spaces

  • Konyalioglu, A.Cihan;Ipek, A. Sabri;Isik, Ahmet
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제7권1호
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    • pp.59-67
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    • 2003
  • In linear algebra course, the theory of vector space is usually presented in a very formal setting, which causes severe difficulties to many students. In this study, the effect of teaching the theory of vector space in linear algebra from the geometrical point of view on students' learning was investigated. It was found that the teaching of the theory of vector space in linear algebra from the geometrical point of view increases the meaningful loaming since it increases the visualization.

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SOME REMARKS ON ARTINIAN O-SEQUENCES OF LENGTH 7

  • Shin, Yong-Su
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.405-411
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    • 2003
  • We prove that 25 different Artinian O-Sequences of codimension 3 type 3 with length 7 among all possible 334 cases are not level.

INTUITIONISTIC FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS

  • Hong, Sung-Min;Kim, Kyung-Ho;Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • 제8권1호
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    • pp.261-272
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    • 2001
  • The intuitionistic fuzzification of a subalgebra in a BCK/BCI-algebra is considered, and related results are investigated. The notion of equivalence relations on the family of all intuitionistic fuzzy subalgebras of a BCK/BCI-algebra is introduced, and then some properties are discussed.

WEAK IMPLICATIVE FILTERS OF BE-ALGEBRAS

  • RAO, M. SAMBASIVA
    • Journal of applied mathematics & informatics
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    • 제35권5_6호
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    • pp.513-528
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    • 2017
  • The concept of weak implicative filters is introduced in BE-algebras. Some characterizations of weak implicative filters are derived in terms of filters of a BE-algebra. Fuzzification is applied to the class of weak implicative filters. Some properties of fuzzy weak implicative filters are studied with respect to fuzzy relations and homomorphisms. The notion of triangular normed fuzzy weak implicative filters is introduced in BE-algebras and their properties are studied.

바둑판을 이용한 흑백 게임의 최적해를 구하는 선형대수학 알고리즘 (Linear algebra algorithm for the optimal solution in the Blackout game)

  • 이상구;박종빈;양정모;김익표
    • 한국수학교육학회지시리즈A:수학교육
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    • 제43권1호
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    • pp.87-96
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    • 2004
  • For finding the optimal strategy in Blackout game which was introduced in the homepage of popular mono "Beautiful mind", we develope a mathematical proof and an algorithm with a software. We only use the concept of basis and knowledge of basic linear algebra. This process can be extended to the fullsize Go table problem and shows why we have to study mathematics at the college level.

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FUZZY Ζ-IDEALS IN IS-ALGEBRAS

  • Jun, Young-Bae;Ahn, Sung-Shin;Kim, Hee-Sik
    • 대한수학회논문집
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    • 제15권3호
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    • pp.499-509
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    • 2000
  • In [9], the concept of fuzzy sets is applied to the theory of Ζ-ideals in a BCI-semigroup (it was renamed as an IS-algebra for the convenience of study), and a characterization of fuzzy Ζ-ideals by their level Ζ-ideals was discussed. In this paper, we study further properties of fuzzy Ζ-ideals. We prove that the homomorphic image and preimage of a fuzzy Ζ-ideal are also fuzzy Ζ-ideals.

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Optimized Algebra LDPC Codes for Bandwidth Efficient Modulation

  • Hwang, Gi-Yean;Yu Yi;Lee, Moon-Ho
    • Journal of electromagnetic engineering and science
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    • 제4권1호
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    • pp.17-22
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    • 2004
  • In this paper, we implement an efficient MLC/PDL system for AWGN channels. In terms of the tradeoff between the hardware implementation and system performance, proposed algebra LDPC codes are optimized by the Gaussian approximation(GA) according to the rate of each level assigned by the capacity rule and chosen as the component code. System performance with Ungerboeck Partitioning(UP), Miked Partitioning(MP) and Gray Mapping(GM) of 8PSK are evaluated, respectively. Many results are presented in this paper; they can indicate that the proposed MLC/PDL system using optimized algebra LDPC codes with different code rate, capacity rule and Gray mapping(GM) can achieve the best performance.