• Title/Summary/Keyword: f-minimal

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A NOTE ON S-SETS IN A FIXED GROUP

  • Song, Hyung-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.27 no.2
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    • pp.113-120
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    • 1990
  • In this paper we introduce S(X, $x_{0}$) which is a generalization of Ellis group G(X, $x_{0}$), and S-sets in S(X, $x_{0}$). In particular we cind the sufficient condition for the group A(I) of all automorphisms of I and K=Iu to be isomorphic, where I is a minimal right ideal and u is an idempotent of I.f I.

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Synthesis of Uniform CA and 90/150 Hybrid CA (Uniform CA와 90/150 Hybrid CA의 합성)

  • Kim, Han-Doo;Cho, Sung-Jin;Choi, Un-Sook;Kwon, Min-Jeong;Kong, Gil-Tak
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.3
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    • pp.293-302
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    • 2016
  • In this paper we analyze the CA formed by combining the uniform 102 CA $\mathbb{C}_u$ and the m-cell 90/150 hybrid CA $\mathbb{C}_h$ whose characteristic polynomial is $(x+1)^m$. We analyze cycle structures of complemented group CA derived from $\mathbb{C}_u$ and propose a condition of complemented CA dividing the entire state space into smaller cycles of equal lengths. And we analyze the cycle structure of complemented group CA $\mathbb{C}^{\prime}$ derived from the CA $\mathbb{C}$ formed by combining $\mathbb{C}_u$ and $\mathbb{C}_h$ with complement vector F such that $(T+I)^{q-1}F{\neq}0$ where $(x+1)^q$ is the minimal polynomial of $\mathbb{C}$.

Minimal Generators of Syzygy Modules Via Matrices

  • Haohao Wang;Peter Oman
    • Kyungpook Mathematical Journal
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    • v.64 no.2
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    • pp.197-204
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    • 2024
  • Let R = 𝕂[x] be a univariate polynomial ring over an algebraically closed field 𝕂 of characteristic zero. Let A ∈ Mm,m(R) be an m×m matrix over R with non-zero determinate det(A) ∈ R. In this paper, utilizing linear-algebraic techniques, we investigate the relationship between a basis for the syzygy module of f1, . . . , fm and a basis for the syzygy module of g1, . . . , gm, where [g1, . . . , gm] = [f1, . . . , fm]A.

Quality Characteristics of Canned Kimchi Prepared by Minimal Thermal Processing (최소열처리에 따른 캔 포장김치의 품질특성)

  • Hong, Jeong-Jin;Cheigh, Hong-Sik;Lee, Dong-Sun
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.35 no.6
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    • pp.754-760
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    • 2006
  • This study was conducted to examine the quality characteristics of canned kimchi prepared by minimal thermal processing. Korean cabbage kimchi was fermented at $20^{\circ}C$ for several days up to acidity $0.5{\pm}0.1%$, was packaged in cylindrical can of 115 mL and pasteurized at low temperature. Thermal processing times based on $F_{60}$ value at geometrical center of the can were determined as 23.1, 17.7 and 12.7 min at 65, 70 and $80^{\circ}C$, respectively. The quality changes of the processed kimchi were measured during storage at $20^{\circ}C$. The pH of pasteurized kimchi was higher than that of unpasteurized control. The number of lactic acid bacteria was reduced to about $10^{2}{\sim}10^{3}$ (CFU/mL). The pasteurized kimchi product showed better texture and color values compared to the control, while resulting in the lower carotenoid and ascorbic acid contents. Kimchi preparation by minimal thermal processing had a positive effect for reduction of sour taste and sour flavor in sensory quality, but gave adverse effect in acceptability because of off-taste and off-flavor.

Effects of artificial water treatment on the growth and leaf characteristics of Fraxinus rhynchophylla and Fraxinus mandshurica (인위적인 수분처리가 물푸레나무와 들메나무의 생장과 엽형특성에 미치는 영향)

  • Chung, Jin-Chul;Choi, Jeong-Ho;Park, Kyong-Woo;Yoo, Se-Kuel;Lee, Soo-Won;Bae, Jong-Hyang
    • Journal of Bio-Environment Control
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    • v.16 no.2
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    • pp.135-141
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    • 2007
  • Although the result of the tree height growth after water treatment, Fraxinus rhynchophylla has little affection by the artificial water treatment, the growth showed decreased tendency as the soil moisture decreased, and F. mandshurica showed high growth in relatively high soil moist $78{\sim}90%$ treated area. The growth of root collar diameter of F. rhynchophylla and F. mandshurica also showed decreased tendency as soil moisture decreased. The changes of biomass according to dry weight of root, stem, leaves of F. rhynchophylla demonstrating statistical significance as moisture contents of soil is lower showing decreased biomass tendency and in the treatment of $78{\sim}90%$(A) moisture content showed more than double the higher biomass compare to the treated area of $18{\sim}30%$(D) moisture contents. Also F. mandshurica showed statistical significance in A and D treatment demonstrating differences among each treatment. This can be purported to have physiological effects like weakening of seedling and softening of tissues including leaves as soil moisture decreased. Ultimately it is regarded to the main reason of unsatisfactory growth for F. rhynchophylla and F. mandshurica that are weak to drought resistance. SLA, which is one of the special traits of leaf area of F. rhynchophylla, didn't show statistical significance between moisture process, it demonstrated decreased tendency as the moisture content interval is minimal. LAR and LWR showed increased tendency while moisture content didn't show statistical significance between treatments as they are minimal.

A Study on the ′60s Retro Trend Expressed in the 2003/2004 F/W Pret-a-porter Collections (2003/2004 F/W 프레타포르테 컬렉션에 나타난 1960년대 RETRO 패션경향 연구)

  • 김현숙
    • Journal of the Korea Fashion and Costume Design Association
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    • v.6 no.1
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    • pp.94-103
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    • 2004
  • This study is to explore the '60s 'Retro' trend appeared in the 2003/2004 Fall & Winter Pret-a-porter Collections which was held in the 4 major cities, Paris, Milan, London, New York on the February and March of the last year. It is often said that the '60s Retro trend is one of the most powerful fashion trends in the 2003/2004 season, and it really affects the modem fashion market nowadays. From this study, we can find that the '60s fashion mode certainly contains the 5 formative characteristics such as Minimal Look, Pop Art Fashion, Op Art Fashion, Space-Age Look, Femme-Enfant Style, and following these 5 characteristics of the '60s fashion mode the retrospective trend can be developed to finally create the '60s Retro Look presented in the 2003/2004 F/W Pret-a-porter Collections.

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MINIMAL CLOZ-COVERS OF κX

  • Jo, Yun Dong;Kim, ChangIl
    • Honam Mathematical Journal
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    • v.35 no.2
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    • pp.303-310
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    • 2013
  • In this paper, we first show that $z_{{\kappa}X}:E_{cc}({\kappa}X){\rightarrow}{\kappa}X$ is $z^{\sharp}$-irreducible and that if $\mathcal{G}(E_{cc}({\beta}X))$ is a base for closed sets in ${\beta}X$, then $E_{cc}({\kappa}X)$ is $C^*$-embedded in $E_{cc}({\beta}X)$, where ${\kappa}X$ is the extension of X such that $vX{\subseteq}{\kappa}X{\subseteq}{\beta}X$ and ${\kappa}X$ is weakly Lindel$\ddot{o}$f. Using these, we will show that if $\mathcal{G}({\beta}X)$ is a base for closed sets in ${\beta}X$ and for any weakly Lindel$\ddot{o}$f space Y with $X{\subseteq}Y{\subseteq}{\kappa}X$, ${\kappa}X=Y$, then $kE_{cc}(X)=E_{cc}({\kappa}X)$ if and only if ${\beta}E_{cc}(X)=E_{cc}({\beta}X)$.

BASICALLY DISCONNECTED COVERS OF THE EXTENSION κX OF A SPACE X

  • Kim, Chang Il
    • East Asian mathematical journal
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    • v.29 no.1
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    • pp.83-89
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    • 2013
  • Observing that every Tychonoff space X has a weakly Lindel$\ddot{o}$f extension ${\kappa}X$ and the minimal basically diconneted cover ${\Lambda}{\kappa}X$ of ${\kappa}X$ is weakly Lindel$\ddot{o}$f, we first show that ${\Lambda}_{{\kappa}X}:{\Lambda}{\kappa}X{\rightarrow}{\kappa}X$ is a $z^{\sharp}$-irreducible map and that ${\Lambda}{\beta}X={\beta}{\Lambda}{\kappa}X$. And we show that ${\kappa}{\Lambda}X={\Lambda}{\kappa}X$ if and only if ${\Lambda}^{\kappa}_X:{\kappa}{\Lambda}X{\rightarrow}{\kappa}X$ is an onto map and ${\beta}{\Lambda}X={\Lambda}{\beta}X$.