• Title/Summary/Keyword: have the sup property

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THE HOMOLOGICAL PROPERTIES OF REGULAR INJECTIVE MODULES

  • Wei Qi;Xiaolei Zhang
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.59-69
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    • 2024
  • Let R be a commutative ring. An R-module E is said to be regular injective provided that Ext1R(R/I, E) = 0 for any regular ideal I of R. We first show that the class of regular injective modules have the hereditary property, and then introduce and study the regular injective dimension of modules and regular global dimension of rings. Finally, we give some homological characterizations of total rings of quotients and Dedekind rings.

Luminescence property of Eu2+ in SiO2-Al2O3 glass phosphor

  • Chae, Ki Woong;Lee, Kyoung-Ho;Cheon, Chae Il;Cho, Nam In;Kim, Jeong Seog
    • Journal of Ceramic Processing Research
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    • v.13 no.spc2
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    • pp.189-192
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    • 2012
  • Manufacturing process for silicate glass phosphors containing Eu2+ activator and their photoluminescence property have been studied. We adopted powder sintering process instead of traditional glass melting process for making glass phosphor. At first, phosphor powders were synthesized at 1200 ℃ for 2-3 hours under a reducing atmosphere with 10% H2-90% N2 gas mixture. The reduced powders were compacted into discs and then the discs weresintered at 1400 ~ 1500 ℃ for 1 hr under a reducing atmosphere of 5H2-95% N2. The enhancement of PL intensity by Al2O3 addition, XPS binding energy shift of Si 2p and O 1s, sintering shrinkage, and crystallization were characterized.

A Fundamental Study of Structure-Property Relationships in $Eu^{3+}$ Luminescence ($Eu^{3+}$ 이온의 발광성에 대한 구조와 성질의 기본적인 연구)

  • Chang, Ki-Seog
    • Korean Journal of Crystallography
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    • v.13 no.1
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    • pp.25-30
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    • 2002
  • The M/sub 1-x/Na/sub 2x/Al₂(BO₃)₂O (M = Ca and Sr) solid solution systems have been shown interstitial solid solutions and continuous substitutional solid solutions. The symmetry around the Eu site of yEu/sup 3+/ : M/sub 1-x/Na/sub 2x/Al/sub 2-y/Mg/sub /(BO₃)₂O (M = Ca and Sr) changes the intensities and the chromaticities of transitions. The Eu/sup 3+/ion can be very bright and efficient and have the desired emission wave-length depending on the site symmetry of the Eu/sup 3+/ion site. As the amount of Na in the Eu/sup 3+/ion doped Ca/sub 1-x/Na/sub 2x/Al₂(BO₃)₂O system increases, the Eu site symmetry is going to be a noncentrosymmetric site. With increasing x, the decreased intensity in the /sup 5/D/sub 0/→/sup 7/F₁(590 nm) transition relates to the low symmetry of the Eus/up 3+/-doped Ca/sub 1-x/Na/sub 2x/Al₂(BO₃)₂O system, because of the Ca-centered octahedron in the CaAl₂(BO₃)₂O compound. The SrAl₂(BO₃)₂O compound also provides an improved chromaticity due to the lower site symmetry of Eu/sup 3+/ion.

Sr2+ Ion Selective p-tert-Butylthiacalix[4]arene Bearing Two Distal Amide Units

  • Kim, Tae-Hyun;Kim, Ha-Suck;Lee, Joung-Hae;Kim, Jong-Seung
    • Bulletin of the Korean Chemical Society
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    • v.29 no.3
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    • pp.620-622
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    • 2008
  • A new thiacalix[4]arene diamide (TCAm) has been prepared and its electrochemical property and complexation behavior toward various metal ions have been investigated by voltammetry. p-tert-Butylthiacalix[4]arene diamide (TCAm) exhibited selectivity toward Sr2+ ion over alkali, alkaline earth and transition metal ions while conventional calix[4]arene diamides showed selective binding property with Ca2+ ion. This is probably due to the bigger size of thiacalix[4]arene than those of calix[4]arene.

SOME INVARIANT SUBSPACES FOR BOUNDED LINEAR OPERATORS

  • Yoo, Jong-Kwang
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.1
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    • pp.19-34
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    • 2011
  • A bounded linear operator T on a complex Banach space X is said to have property (I) provided that T has Bishop's property (${\beta}$) and there exists an integer p > 0 such that for a closed subset F of ${\mathbb{C}}$ ${X_T}(F)={E_T}(F)=\bigcap_{{\lambda}{\in}{\mathbb{C}}{\backslash}F}(T-{\lambda})^PX$ for all closed sets $F{\subseteq}{\mathbb{C}}$, where $X_T$(F) denote the analytic spectral subspace and $E_T$(F) denote the algebraic spectral subspace of T. Easy examples are provided by normal operators and hyponormal operators in Hilbert spaces, and more generally, generalized scalar operators and subscalar operators in Banach spaces. In this paper, we prove that if T has property (I), then the quasi-nilpotent part $H_0$(T) of T is given by $$KerT^P=\{x{\in}X:r_T(x)=0\}={\bigcap_{{\lambda}{\neq}0}(T-{\lambda})^PX$$ for all sufficiently large integers p, where ${r_T(x)}=lim\;sup_{n{\rightarrow}{\infty}}{\parallel}T^nx{\parallel}^{\frac{1}{n}}$. We also prove that if T has property (I) and the spectrum ${\sigma}$(T) is finite, then T is algebraic. Finally, we prove that if $T{\in}L$(X) has property (I) and has decomposition property (${\delta}$) then T has a non-trivial invariant closed linear subspace.

Effect of Thermal Annealing on the Electrical Properties of In-Si-O/Ag/In-Si-O Multilayer

  • Yu, Jiao Long;Lee, Sang Yeol
    • Transactions on Electrical and Electronic Materials
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    • v.17 no.4
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    • pp.201-203
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    • 2016
  • Transparent conductive multilayers have been fabricated using transparent amorphous Si doped indium oxide (ISO) semiconductors and metallic Ag of ISO/Ag/ISO. The resistivity of a multilayer is dependent on the middle layer thickness of silver. The thickness of the Ag layer is fixed at 11 nm and takes into account cost and optical transmittance. As-deposited ISO/Ag (11 nm)/ISO multilayer shows a measured resistivity of 7.585×10−5 Ω cm. After a post annealing treatment of 400℃, the resistivity is reduced to 4.332×10−5 Ω cm. The reduction of resistivity should be explained that the mobility of the multilayer increased due to the optimized crystalline, meanwhile, the Hall concentration of the multilayer showed an obscure change because the carriers mainly come from the insert of the Ag layer.

Synthesis, Crystal Structures and Properties of Two 3D CdII and ZnII Complexes with a 3-Fold Interpenetrating Feature

  • Lin, Hongyan;Sui, Fangfang;Liu, Peng;Wang, Xiuli;Liu, Guocheng
    • Bulletin of the Korean Chemical Society
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    • v.34 no.7
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    • pp.2138-2142
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    • 2013
  • Two new 3D coordination complexes [Cd(3-bpcd)(pht)] (1) and [Zn(3-bpcd)(pht)] (2) [3-bpcd = N,N'-bis(pyridin-3-yl)cyclohexane-1,4-dicarboxamide, $H_2pht$ = phthalic acid] have been hydrothermally synthesized. X-ray diffraction analysis reveals that the complexes 1 and 2 represent a 4-connected diamondoid topology with a 3-fold interpenetrating feature. Moreover, the fluorescent properties of complexes 1 and 2 are studied.

Brain Connectivity Analysis using 18F-FDG-PET and 11C-PIB-PET Images of Normal Aging and Mild Cognitive Impairment Participants (정상 노화군과 경도인지장애 환자군의 18F-FDG-PET과 11C-PIB-PET 영상을 이용한 뇌 연결망 분석)

  • Son, S.J.;Park, H.
    • Journal of Biomedical Engineering Research
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    • v.35 no.3
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    • pp.68-74
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    • 2014
  • Recent research on mild cognitive impairment (MCI) has shown that cognitive and memory decline in this disease is accompanied by disruptive changes in the brain functional network. However, there have been no graph-theoretical studies using $^{11}C$-PIB PET data of the Alzheimer's Disease or mild cognitive impairment. In this study, we acquired $^{18}F$-FDG PET and $^{11}C$-PIB PET images of twenty-four normal aging control participants and thirty individuals with MCI from ADNI (Alzheimer's Disease Neuroimaging Initiative) database. Brain networks were constructed by thresholding binary correlation matrices using graph theoretical approaches. Both normal control and MCI group showed small-world property in $^{11}C$-PIB PET images as well as $^{18}F$-FDG PET images. $^{11}C$-PIB PET images showed significant difference between NC (normal control) and MCI over large range of sparsity values. This result will enable us to further analyze the brain using established graph-theoretical approaches for $^{11}C$-PIB PET images.

Grope for a Summary Program about Intellectual Property Protection of Traditional Knowledge (TK)etc. Discussed in WIPO (전통적 임상기술의 지적재산권 보호에 대한 고찰)

  • Choi Hwan-Soo;Kim Yong-Jin;Lee Je-Hyun
    • The Journal of Korean Medicine
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    • v.25 no.3
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    • pp.20-31
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    • 2004
  • The 21/sup st/ century is a society based on knowledge, so in economic activities, it has emphasized the importance of information such as intellectual property or intangible asserts. Especially, according to the agreement on trade related as parts of intellectual property rights in WTO, it is used as the method of commercial entente and monopoly for intellectual property in an advanced nation. For this reason, WIPO and UNESCO discussed a complement for intellectual property on the foundation of traditional knowledge such as traditional knowledge (TK), genetic resources (GR) and traditional cultural expressions (TCE, folklore). Korea has a lot of knowledge falling under TK, GR, and TCE because of the long history of the country. In the case of traditional medical care, it has been used in the public health system. It is hard to apply these rights to traditional medical care of Korea because the laws of intellectual property have been established under the ideas of western culture. It is necessary to improve the classification system of traditional knowledge and patents. In the patent classified system of IPC, it needs to be related to the research between the classified system for massive technology and the classified system for traditional clinic technology.

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Soft computing based mathematical models for improved prediction of rock brittleness index

  • Abiodun I. Lawal;Minju Kim;Sangki Kwon
    • Geomechanics and Engineering
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    • v.33 no.3
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    • pp.279-289
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    • 2023
  • Brittleness index (BI) is an important property of rocks because it is a good index to predict rockburst. Due to its importance, several empirical and soft computing (SC) models have been proposed in the literature based on the punch penetration test (PPT) results. These models are very important as there is no clear-cut experimental means for measuring BI asides the PPT which is very costly and time consuming to perform. This study used a novel Multivariate Adaptive regression spline (MARS), M5P, and white-box ANN to predict the BI of rocks using the available data in the literature for an improved BI prediction. The rock density, uniaxial compressive strength (σc) and tensile strength (σt) were used as the input parameters into the models while the BI was the targeted output. The models were implemented in the MATLAB software. The results of the proposed models were compared with those from existing multilinear regression, linear and nonlinear particle swarm optimization (PSO) and genetic algorithm (GA) based models using similar datasets. The coefficient of determination (R2), adjusted R2 (Adj R2), root-mean squared error (RMSE) and mean absolute percentage error (MAPE) were the indices used for the comparison. The outcomes of the comparison revealed that the proposed ANN and MARS models performed better than the other models with R2 and Adj R2 values above 0.9 and least error values while the M5P gave similar performance to those of the existing models. Weight partitioning method was also used to examine the percentage contribution of model predictors to the predicted BI and tensile strength was found to have the highest influence on the predicted BI.