• 한국수학교육학회지시리즈B:순수및응용수학
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• 제20권2호
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• pp.117-127
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• 2013

As a generalization of fuzzy subsemigroups, the notion of ${\varepsilon}$-generalized fuzzy subsemigroups is introduced, and several properties are investigated. A condition for an ${\varepsilon}$-generalized fuzzy subsemigroup to be a fuzzy subsemigroup is considered. Characterizations of ${\varepsilon}$-generalized fuzzy subsemigroups are established, and we show that the intersection of two ${\varepsilon}$-generalized fuzzy subsemigroups is also an ${\varepsilon}$-generalized fuzzy subsemigroup. A condition for an ${\varepsilon}$-generalized fuzzy subsemigroup to be ${\varepsilon}$-fuzzy idempotent is discussed. Using a given ${\varepsilon}$-generalized fuzzy subsemigroup, a new ${\varepsilon}$-generalized fuzzy subsemigroup is constructed. Finally, the fuzzy extension of an ${\varepsilon}$-generalized fuzzy subsemigroup is considered.

• 대한수학회논문집
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• 제12권3호
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• pp.571-577
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• 1997

We first show that if $\psi : M_n(B(H)) \to M_n (B(H))$ is a $D_n \otimes F(H)$-bimodule map, then there is a matrix $A \in M_n$ such that $\psi = S_A$. Secondly, we show that for an operator space $\varepsilon, A \in M_n$, the Schur product map $S_A : M_n(\varepsilon) \to M_n(\varepsilon)$ and $\phi_A : M_n(\varepsilon) \to \varepsilon$, defined by $\phi_A([x_{ij}]) = \sum^{n}_{i,j=1}{a_{ij}x_{ij}}$, we have $\Vert S_A \Vert = \Vert S_A \Vert_{cb} = \Vert A \Vert_S, \Vert \phi_A \Vert = \Vert \phi_A \Vert_{cb} = \Vert A \Vert_1$ and obtain some characterizations of A for which $S_A$ is contractive.

• 열처리공학회지
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• 제16권4호
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• pp.211-215
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• 2003

In this work, a new way of measuring the volume fraction of e martensite in Fe-based alloys has been proposed. Since the specific volume of ${\varepsilon}$ martensite, depending on alloy composition, is smaller than that of austenite i.e ${\gamma}$ phase, volume expansion takes place during ${\varepsilon}{\rightarrow}{\gamma}$ reverse transformation. As the amount of the volume expansion is proportional to the product of specific volume difference times the volume fraction of ${\varepsilon}$ martensite, the volume fraction of ${\varepsilon}$ martensite can be calculated by measuring the volume expansion and the specific volume difference. Such a relationship was confirmed in Fe-21Mn and Fe-32Mn-6Si alloys which undergo ${\gamma}{\rightarrow}{\varepsilon}$ martensitic transformation on cooling and by cold rolling, respectively. It was also found that the former has isotropic ${\varepsilon}$ martensite while the latter has anisotropic ${\varepsilon}$ martensite.

• 한국세라믹학회지
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• 제36권2호
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• pp.151-158
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• 1999

유기단분자인 $\varepsilon$-Caprolactame을 montmorillonite의 층사이에 삽입하여 증합반응시켜 고분자화해 줌으로써 무기고분자와 유기고분자를 화학결합에 의해 연결시켜 주었다. X-선 및 IR-분석결과 층내에서의 $\varepsilon$-Caprolactame의 고분자반응이 성공적으로 이루어졌음이 입증되었다. 고분자 반응생성물을 좀 더 자세히 분석조사하기 위해 고분자 물질을 층사이로부터 격리시켜 X-선회절분석 및 IR 분석한 결과와 montmorillonite없이 $\varepsilon$-Caprolactame만 고분자화시켜 얻은 순수고분자에 대한 동일한 분석 결과를 비교해 본 결과 서로 동일한 화합물임이 입증되었다.

• 한국세라믹학회지
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• 제43권4호
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• pp.207-212
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• 2006

[ ${\varepsilon}-caprolactam$ ] was polymerized in the layers of the [DEACOOH]-Montmorillonite intercalations complex at high temperatures ranging from 250% to 260% formed from Na-Montmorillonite and 10-Carboxy-n-decyldimethylethylammonium bromide to achieve [DEACOOH]-Polycaprolactam-Montmorillonite, in which an inorganic polymer (montmorillonite) is chemically combined with an organic polymer (polycaprolactam). The results of X-ray and IR analyses for the samples obtained after polymerization showed that the polymerization reaction was successfully accomplished. For the purpose of studying the polymeric reaction product more precisely, the polymerized product was separated from the silicate layers and analyzed with an X-ray diffractometer and an IR-spectrometer. A comparison of the results of the X-ray and IR analyses of the separated polymer and the polymer that was synthesized by the reaction of ${\varepsilon}-caprolactam$ solely with the organic cation without montmorillonite showed that the obtained both polymers are identical compounds.

• 대한수학회지
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• 제42권3호
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• pp.405-434
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• 2005

We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

• 한국추진공학회지
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• 제4권4호
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• pp.9-17
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• 2000

준안정상인 $\beta$형 HNIW의 용해와 안정상인 $\varepsilon$형 HNIW의 성장 특성을 고려한 모델식을 물질수지와 한께 계산하는 방법으로 결정성장 속도와 용해 속도를 계산하였다. 제시된 모델은 용액을 매체로 하여 진행되는 $\beta$$\longrightarrow$$\varepsilon$전이 현상에 대한 속도론적 데이터를 모사 하는데 유용하였다. 2 단 모델을 이용한 유효 인수로부터, 격정성장 과정에서 표면 축적 단계의 영향은 작으며, 확산 의존성은 ethyl acetate와 chloroform의 혼합 용매 중 chloroform의 함량이 증가함에 따라 감소함을 보였다. 이들 속도론 적 계수들을 이용한 수치모사를 통하여 $\varepsilon$-HNIW의 입자 크기를 예측하는 것이 가능하였다.

• Plant Resources
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• 제1권1호
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• pp.33-37
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• 1998

Carotenoid compounds in embryos of wild-type(WT) and viviparous mutants of maize(Zea mays L.) were analyzed using high performance liquid ehromatography (HPLC) with a photodiode array detector. Zeaxanthin accumulates in WT embryos as the major carotenoid. Phytoene accumulates in vp2 and vp5. Phytofluene in w3 and ${\xi}$-carotene in the vp9 mutant embryos. This indicates that the vp2 and vp5 mutants impair phytoene desaturase from 15-cis-phytoene to 15-cis-phytofluene. The w3 mutant has neither an isomerase from 15-cis-phytofluene to all-trans-phytofuene nor phytofluene desaturase from phytofluene to ${\xi}$-carotene. The vp9 mutant does not have the ${\xi}$-carotene desaturase from ${\xi}$-carotene to lycopene. Our analysis shows that the terminal carotenoid. ${\gamma}$-carotene(${\beta},{\Psi}$-carotene), accumulates in the vp7 mutant embryos. The ${\varepsilon}$-carotene(${\varepsilon},{\varepsilon}$-carotene), a product of ${\delta}$-carotene(${\varepsilon},{\Psi}$-carotene) in some plants, however, has not been found in maize embryos. The vp7 mutant impairs a cyclization step from ${\gamma}$-carotene to both ${\beta}$-carotene and ${\alpha}$-carotene. We suggest that monocyclic ${\gamma}$-carotene is the sole precursor of both bicyclic ${\beta}$-carotene(${\beta},{\beta}$-carotene) and ${\alpha}$-carotene(${\beta},{\varepsilon}$-carotene) in maize.

• Current Research on Agriculture and Life Sciences
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• 제3권
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• pp.21-27
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• 1985

대구(大邱) 신천(新川) 하상(河床) 오니(汚泥)로부터 ${\varepsilon}$-caprolactam이용성(利用性)이 우수한 균(菌)을 분리(分離)하여 Arthrobacter globiformis N-2-1로 동정(同定)했다. Arthrobacter globiformis N-2-1의 배양(培養)을 위한 최적배지(最適培地)의 조성(組成)은 ${\varepsilon}$-caprolactam 0.4%, $K_2HPO_4$ 0.2%, $KH_2PO_4$ 0.05%, $MgSO_4{\cdot}7H_2O$ 0.02%, $F3Cl_3{\cdot}6H_2O$ 0.01%, yeast extract 0.05%이었다. 이 균(菌)의 생육(生育)을 위한 최적(最適) pH는 7.0, 온도(溫度)는 $30^{\circ}C$ 부근(附近)이었다. 본(本) 균(菌)은 무기염 배지(培地)에서 yeast extract를 가(加)하지 않고서도 ${\varepsilon}$-caprolactam을 잘 분해(分解)하여 증식(增殖)할 수 있었으나, yeast extract를 가(加)하면 생육(生育)이 더욱 촉진되었다. 또한 본(本) 균(菌)은 대부분의 당(糖)을 잘 이용(利用)할 수 있었고 유기산(有機酸)으로는 ${\alpha}$-ketoglutarate, adipate, p-hydroxybenzoate는 잘 이용(利用)하였으나 gluconate는 잘 이용(利用)할 수 없었다. 그리고 amino acid는 대부분 잘 이용(利用)하는 것으로 나타났다. 0.4%의 ${\varepsilon}$-caprolactam을 함유한 배지(培地)에서 60시간(時間) 배양(培養)으로 ${\varepsilon}$-caprolactam을 완전히 분해(分解)할 수 있었다. 분리균(分離菌) N-2-1에 의한 ${\varepsilon}$-caprolactam의 분해(分解) 생성물(生成物)은 ${\varepsilon}$-aminocaproic acid로 확인되었다.

• Journal of applied mathematics & informatics
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• 제11권1_2호
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• pp.265-271
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• 2003

The purpose of this paper is to present certain results arising from product between fuzzy $H_{v}$-submodules. In particular, we consider the fundamental relation $\varepsilon$* defined on an $H_{v}$-module and give a property of the fundamental relations and fundamental modules with respect to the fuzzy product of $H_{v}$-modules.