• Title/Summary/Keyword: f-ideal

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EQUIVALENT NORMS IN A BANACH FUNCTION SPACE AND THE SUBSEQUENCE PROPERTY

  • Calabuig, Jose M.;Fernandez-Unzueta, Maite;Galaz-Fontes, Fernando;Sanchez-Perez, Enrique A.
    • Journal of the Korean Mathematical Society
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    • v.56 no.5
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    • pp.1387-1401
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    • 2019
  • Consider a finite measure space (${\Omega}$, ${\Sigma}$, ${\mu}$) and a Banach space $X({\mu})$ consisting of (equivalence classes of) real measurable functions defined on ${\Omega}$ such that $f{\chi}_A{\in}X({\mu})$ and ${\parallel}f{\chi}_A{\parallel}{\leq}{\parallel}f{\parallel}$, ${\forall}f{\in}({\mu})$, $A{\in}{\Sigma}$. We prove that if it satisfies the subsequence property, then it is an ideal of measurable functions and has an equivalent norm under which it is a Banach function space. As an application we characterize norms that are equivalent to a Banach function space norm.

Distributed Algorithm for Updating Minimum-Weight Spanning Tree Problem (MST 재구성 분산 알고리즘)

  • Park, Jeong-Ho;Min, Jun-Yeong
    • The Transactions of the Korea Information Processing Society
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    • v.1 no.2
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    • pp.184-193
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    • 1994
  • This paper considers the Updating Minimum-weight Spanning Tree Problem(UMP), that is, the problem to update the Minimum-weight Spanning Tree(MST) in response to topology change of the network. This paper proposes the algorithm which reconstructs the MST after several links deleted and added. Its message complexity and its ideal-time complexity are Ο(m+n log(t+f)) and Ο(n+n log(t+f)) respectively, where n is the number of processors in the network, t(resp.f) is the number of added links (resp. the number of deleted links of the old MST), And m=t+n if f=Ο, m=e (i.e. the number of links in the network after the topology change) otherwise. Moreover the last part of this paper touches in the algorithm which deals with deletion and addition of processors as well as links.

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SYMMETRIC BI-DERIVATIONS IN PRIME RINGS

  • Jung, Yong-Soo
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.819-826
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    • 1998
  • The purpose of this paper is to prove the following results; (1) Let R be a prime ring of char $(R)\neq 2$ and I a nonzero left ideal of R. The existence of a nonzero symmetric bi-derivation D : $R\timesR\;\longrightarrow\;$ such that d is sew-commuting on I where d is the trace of D forces R to be commutative (2) Let m and n be integers with $m\;\neq\;0.\;or\;n\neq\;0$. Let R be a noncommutative prime ring of char$ (R))\neq \; 2-1\; p_1 \;n_1$ where p is a prime number which is a divisor of m, and I a nonzero two-sided ideal of R. Let $D_1$ ; $R\;\times\;R\;\longrightarrow\;and\;$ $D_2\;:\;R\;\times\;R\;longrightarrow\;R$ be symmetric bi-derivations. Suppose further that there exists a symmetric bi-additive mapping B ; $R\;\times\;R\;\longrightarrow\;and\;$ such that $md_1(\chi)\chi + n\chi d_2(\chi)=f(\chi$) holds for all $\chi$$\in$I, where $d_1 \;and\; d_2$ are the traces of $D_1 \;and\; D_2$ respectively and f is the trace of B. Then we have $D_1=0 \;and\; D_2=0$.

Study on the Generalization of the Equivalent Point Method for Thermal Evaluation (Equivalent Point Method의 일반적 이용을 위한 연구)

  • Rhim, Jong-Whan
    • Korean Journal of Food Science and Technology
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    • v.22 no.5
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    • pp.575-581
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    • 1990
  • The existence of the equivalent point for a thermal processing system was demonstrated using arbitrarily chosen ideal direct heating curves. i.e. isothermal heating curves at $120^{\circ}C$ for 10min and at $135^{\circ}C$ for 10sec. Under these conditions, G-values and F-values were calculated at various values of Ea- and z-values by applying the Arrhenius and the Bigelow models respectively. The equivalent time and equivalent temperature were determined by both line intersection and linear regression methods. The equivalent points estimated by both the line intersection and the linear regression methods were consistent and their values were the same as the heating time and temperature of the ideal direct heating curves.

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A Study on the Architectural Thought and Its Construction shown in F. L. Wright's Taliesin West' (프랭크 로이드 라이트의 '텔리에센 웨스트'의 건축화 과정에 관한 연구)

  • Park, Jong-Sung
    • Korean Institute of Interior Design Journal
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    • v.16 no.3 s.62
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    • pp.3-9
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    • 2007
  • Taliesin West is a meaningful historic site in architecture field, because its place had still been existing only one in the world as a ideal architectural community for working and living as well as learning by doing for Taliesin Fellowships and others based on F. L. Wright's idea of Organic Architecture. The main purpose of this study was to follow up the architectural thought and its construction shown in F. L. Wright's 'Taliesin West'. A study on the key notes are as follows; 1) The key-clue of the construction background for Taliesin West was based on the project of 'Complex Campus Building' which was early planed by F. L. Wright. 2) A basic design idea for Taliesin West was admiring from its own site characters as well as the Experimental construction methods and materials. 3) Design motive of Taliesin West was based on American Indian's movable shelter which called 'Tepee.' 4) A construction of F. L. Wright's temporary studio, Ocotilla, was a good opportunity to construct for Taliesin West which construction methods, covered and framed, were same as Ocotilla. 5) A concept idea of the master plan for Taliesin West came from combining Taliesin's Hillside Home School and Complex Campus Building project. 6) Construction of Taliesin West was a final accomplished place as F. L. Wright's utopia architecture and community.

Studies on the Antifungal Activities of Siccanin and Azalomycin-F in vitro Tests (수종(數種) 진균류(眞菌類)에 대(對)한 Siccanin 및 Azalomycin-F 항진균작용(抗眞菌作用)의 실험관내(實驗管內) 실험(實驗))

  • Koh, Choon-Myung;Choi, Tae-Joo;Kwon, Sung-Won;Lew, Joon
    • The Korean Journal of Mycology
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    • v.1 no.1
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    • pp.29-33
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    • 1973
  • The discovery of ideal therapeutics of fungal infections are remain a major problems of several mycoses. The antifungal activities of a new antifungal antibiotic named Siccanin and Azalomycin-F studies in vitro against some various species of fungi especially dermatophytes. The antifungal activity tests were performed according to the tube-dilution method and all subcultures were incubated at room temperature for 14 days. Results were obtained as follows: 1. All of the Candida spp. were grow on the various concentration of Siccanin tested but Azalomycin-F were growth inhibited at 7mcg-10mcg per ml. 2. Trichophyton spp. and Microsporum spp. were inhibited for growth at 2mcg-6mcg per ml. and 3mcg-5mcg per ml. concentration of Siccanin and 1mcg-4mcg per ml. of Azalomycin-F. 3. Deep mycoses and some saprophytes were grow on the all tested concentration of Siccania and Azalomycin-F.

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New Cyclic Relative Difference Sets Constructed from d-Homogeneous Functions with Difference-balanced Property (차균형성질을 갖는 d-동차함수로부터 생성된 새로운 순회상대차집합)

  • 김상효;노종선
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.12 no.2
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    • pp.11-20
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    • 2002
  • In this paper, for many prime power q, it is shown that new cyclic relative difference sets with parameters (equation omitted) can be constructed by using d-homogeneous functions on $F_{q^{n}}${0} over $F_{q}$ with difference-balanced property, where $F_{q^{n} }$ is a finite field with $q^{n}$ elements. Several new cyclic relative difference sets with parameters (equation omitted) are constructed by using p-ary sequences of period $q^{n}$ -1 with ideal autocorrelation property introduced by Helleseth and Gong and d-form sequences.

ADDITIVE MAPS OF SEMIPRIME RINGS SATISFYING AN ENGEL CONDITION

  • Lee, Tsiu-Kwen;Li, Yu;Tang, Gaohua
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.3
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    • pp.659-668
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    • 2021
  • Let R be a semiprime ring with maximal right ring of quotients Qmr(R), and let n1, n2, …, nk be k fixed positive integers. Suppose that R is (n1+n2+⋯+nk)!-torsion free, and that f : 𝜌 → Qmr(R) is an additive map, where 𝜌 is a nonzero right ideal of R. It is proved that if [[…[f(x), xn1], …], xnk] = 0 for all x ∈ 𝜌, then [f(x), x] = 0 for all x ∈ 𝜌. This gives the result of Beidar et al. [2] for semiprime rings. Moreover, it is also proved that if R is p-torsion, where p is a prime integer with p = Σki=1 ni and if f : R → Qmr(R) is an additive map satisfying [[…[f(x), xn1], …], xnk] = 0 for all x ∈ R, then [f(x), x] = 0 for all x ∈ R.

Change in potential evapotranspiration based on representative scenario by TOPSIS in North Korea (TOPSIS에 의한 대표 시나리오에 근거한 북한 잠재증발산량의 변화)

  • Ryu, Young;Sung, Jang Hyun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.195-195
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    • 2020
  • 이 연구는 기후변화 위험에 노출되어 있는 북한에 대한 잠재증발산량의 미래 변화를 전망하였다. 이를 위해 IPCC AR5의 RCP 기후변화 시나리오로부터 모의된 미래 기온자료를 APCC (APEC Climate Center) Integrated Modeling (AIMS)를 사용하여 25개 관측 지점에 대해서 상세화하여, McGuinness-Borne 방법으로 잠재증발산량을 추정하였다. 6개의 성능 지표와 TOPSIS(Technique for Order of Preference by Similarity to Ideal Solution)로 27개 GCMs 간의 과거 기후 재현성을 비교하여, 관측 지점 규모에서 적정 GCM을 선정하였다. 마지막으로 각 지점에서 선정된 대표 시나리오(representative climate change scenarios, RCCS)로 북한 지역의 잠재증발산량의 미래 변화를 3개의 구간(F1: 2011-2040; F2: 2041-2070; F3: 2071-2100)에서 all CCS(climate change scenario)와 비교하고, 미래 변화를 정량적으로 제시하였다. 그 결과 공간 해상도가 더 높은 GCM이 RCCS로 선정되었으며, 미래로 갈수록 잠재증발산량이 증가하리라 전망되었다. 또한, 여름철 잠재증발산량의 모델 간 변동성은 미래 구간에 따라 점진적으로 증가되었고, 연 평균 증발산량은 과거 기후대비 1.4배(F1), 2.0배(F2) 및 2.6배(F3) 증가하였다.

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NEW CONSTRUCTION OF THE EAGON-NORTHCOTT COMPLEX

  • Kang, Oh-Jin;Kim, Joohyung
    • Korean Journal of Mathematics
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    • v.20 no.2
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    • pp.161-176
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    • 2012
  • The authors [6] introduced the concept of a complete matrix of grade $g$ > 3 to describe a structure theorem for complete intersections of grade $g$ > 3. We show that a complete matrix can be used to construct the Eagon-Northcott complex [7]. Moreover, we prove that it is the minimal free resolution $\mathbb{F}$ of a class of determinantal ideals of $n{\times}(n+2)$ matrices $X=(x_{ij})$ such that entries of each row of $X=(x_{ij})$ form a regular sequence and the second differential map of $\mathbb{F}$ is a matrix $f$ defined by the complete matrices of grade $n+2$.