• Title/Summary/Keyword: 아이디얼

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M-아이디얼의 기원과 그의 신비성

  • 조총만
    • Journal for History of Mathematics
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    • v.13 no.2
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    • pp.41-48
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    • 2000
  • In this paper, we explore the origin of the notion of an M-ideal, and appreciate the richness of algebraic and geometric properties of an M-ideal.

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수학적 구조에서의 아이디얼

  • 홍영희
    • Journal for History of Mathematics
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    • v.14 no.2
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    • pp.29-44
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    • 2001
  • The concept of ideals has played an important role as an inception of the structural approach to algebra. As a sequel to [51], we first deal with the gradual emergence of tile abstract concepts of fields and rings, and study the history of ideals initiated fly Dedekind and then formalized by Noether for the structural research.

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Intuitionistic Fuzzy Ideals on A Distributive Lattice (분배속 상의 직관적 퍼지 아이디얼)

  • Kul Hur;Kang, Hee-Won;Song, Hyeong-Kee
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2004.04a
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    • pp.372-377
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    • 2004
  • We introduce the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy congruences on a lattice, and discuss the relationship between intuitionistic fuzzy ideals and intuitionistic fuzzy congruence on a distributive lattice. Also we prove that for a generalized Boolean algebra, the lattice of intuitionistic fuzzy ideals is isomorphic to the lattice of intuitionistic fuzzy congruences. Finally, we consider the products of intuitionistic fuzzy ideals and obtain a necessary and sufficient condition for an intuitionistic fuzzy ideals on the direct sum of lattices to be representable on a direct sum of intuitionistic fuzzy ideals on each lattice.

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Evaluation of Transportation Policy Using Multidimensional Scaling Method (다차원척도법에 의한 교통정책 평가 인지 차이 분석에 관한 연구)

  • Lee, Won Gyu;Jung, Hun Young;Ko, Sang Seon;Yoon, Hang Mook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.3D
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    • pp.255-261
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    • 2010
  • The evaluation regarding a transportation policy by an evaluation volition viewpoint there is a difference. Consequently the insurgent analysis which is simple compared to against the evaluation object it was accurate, the analysis which leads the order anger probably is necessary. The research which it sees for the evaluation regarding the transportation policy of the metropolis divided in road being understood, public transportation, parking and pedestrian environment, wide area transportation and transportation information and transportation field whole. And against these field it tried the ALSCAL method and MDPREF method which is a Multidimensional Scale method and it analyzed. The regression analysis result for a dimensional analysis ALSCAL method the case of the transportation policy star improvement degree which it follows in introduction presence of intelligence transportation system and MDPREF method it confronted to the transportation policy star improvement degree which it follows in expansion to construction of specific function appeared with the fact that it is the tendency probably. And the evaluation object and evaluation in the object which will cut the positioning one result was each divided in 4 group. And two methods all it was visible a similar tendency. The ALSCAL method currently transportation system construction degree condition in base and, the MDPREF method currently improvement degree of the transportation policy which it follows in traffic system construction appeared with the fact that it is desirable to establish a hereafter traffic policy in base.

$Gr\ddot{o}bner$ basis versus indicator function (그뢰브너 기저와 지시함수와의 관계)

  • Kim, Hyoung-Soon;Park, Dong-Kwon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.6
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    • pp.1015-1027
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    • 2009
  • Many problems of confounding and identifiability for polynomial models in an experimental design can be solved using methods of algebraic geometry. The theory of $Gr\ddot{o}bner$ basis is used to characterize the design. In addition, a fractional factorial design can be uniquely represented by a polynomial indicator function. $Gr\ddot{o}bner$ bases and indicator functions are powerful computational tools to deal with ideals of fractions based on each different theoretical aspects. The problem posed here is to give how to move from one representation to the other. For a given fractional factorial design, the indicator function can be computed from the generating equations in the $Gr\ddot{o}bner$ basis. The theory is tested using some fractional factorial designs aided by a modern computational algebra package CoCoA.

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Memory data layout and DMA transfer technique research For efficient data transfer of CNN accelerator (CNN 가속기의 효율적인 데이터 전송을 위한 메모리 데이터 레이아웃 및 DMA 전송기법 연구)

  • Cho, Seok-Jae;Park, Sungkyung;Park, Chester Sungchung
    • Journal of IKEEE
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    • v.24 no.2
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    • pp.559-569
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    • 2020
  • One of the deep-running algorithms, CNN's artificial intelligence application uses off-chip memory to store data on the Convolution Layer. DMA can reduce processor load at every data transfer. It can also reduce application performance degradation by varying the order in which data from the Convolution layer is transmitted to the global buffer of the accelerator. For basic layouts with continuous memory addresses, SG-DMA showed about 3.4 times performance improvement in pre-setting DMA compared to using ordinaly DMA, and for Ideal layouts with discontinuous memory addresses, the ordinal DMA was about 1396 cycles faster than SG-DMA. Experiments have shown that a combination of memory data layout and DMA can reduce the DMA preset load by about 86 percent.

The fraction of simplex-centroid mixture designs (심플렉스 중심배열법의 일부실시에 관한 연구)

  • Kim, Hyoung Soon;Park, Dong Kwon
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.6
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    • pp.1295-1303
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    • 2015
  • In a mixture experiment, one may be interested in estimating not only main effects but also some interactions. Main effects and interactions may be estimated through appropriate designs such as simplex-centroid designs. However, the estimability problems, implied by the sum to one functional relationship among the factors, have strong consequences on the confounding and identifiability of models for such designs. To handle these problems, we address homogeneous polynomial model based on the computational commutative algebra (CCA) instead of using $Scheff{\acute{e}}s$ canonical model which is typically used. The problem posed here is to give how to choose estimable main effects and also some low-degree interactions. The theory is tested using a fraction of simplex-centroid designs aided by a modern computational algebra package CoCoA.