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COMPACT INTERPOLATION ON AX = Y IN A TRIDIAGONAL ALGEBRA ALGL

  • Kang, Joo-Ho
    • Journal of applied mathematics & informatics
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    • v.19 no.1_2
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    • pp.447-452
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    • 2005
  • Given operators X and Y on a Hilbert space H, an interpolating operator is a bounded operator A such that AX = Y. In this article, we investigate compact interpolation problems for vectors in a tridiagonal algebra. Let L be a subspace lattice acting on a separable complex Hilbert space H and Alg L be a tridiagonal algebra. Let X = $(x_{ij})\;and\;Y\;=\;(y_{ij})$ be operators acting on H. Then the following are equivalent: (1) There exists a compact operator A = $(x_{ij})$ in AlgL such that AX = Y. (2) There is a sequence {$\alpha_n$} in $\mathbb{C}$ such that {$\alpha_n$} converges to zero and $$y_1\;_j=\alpha_1x_1\;_j+\alpha_2x_2\;_j\;y_{2k}\;_j=\alpha_{4k-1}x_{2k\;j}\;y_{2k+1\;j}=\alpha_{4k}x_{2k\;j}+\alpha_{4k+1}x_{2k+1\;j}+\alpha_{4k+2}x_{2k+2\;j\;for\;all\;k\;\epsilon\;\mathbb{N}$$.

Qualification of J-R (J-T) Curve from 1/2T Compact-Tension Specimen (1/2T Compact-Tension Type 시편으로 구한 J-R (J-T) 곡선의 타당성 검토.)

  • Jee, Sae-Hwan;Park, Sun-Pil
    • Nuclear Engineering and Technology
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    • v.19 no.3
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    • pp.169-179
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    • 1987
  • The change of material J-R (J-T) curve with crack extension and J-calculation method was investigated to give experimental and analytical method for reliable J-R (J-T) curve, which was adapted recently as a tool for instability analysis of Nuclear Pressure Vessel. Experiments were carried out by Single Specimen Unloading Compliance Method using 1/2"T, Compact-Tension Type fracture mechanic specimens which were the same size and material as domestic nuclear pressure vessel material surveillance specimens. The results revealed that crack extension up to 25~30% of initial uncracked ligament and JD (Deformation theory J) calculation method, currently being used in NUREG-0744, could give rather reliable material J-R (J-T) curve than the small crack extension and JM (Modified J) calculation method. But as JM results more or less higher J at instability, the application of JM should be considered regarding to the problem of power plant availability.lity.

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Two-Parameter Characterization for the Resistance Curves of Ductile Crack Growth (연선균열성장 저항곡선에 대한 2매개변수의 특성)

  • X.K.Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.4
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    • pp.488-503
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    • 1999
  • The present paper considers the constraint effect on J-R curves under the two-parameter $J-A_2$ controlled crack growth within a certain amount of crack extension. Since the parameter $A_2$ in $J-A_2$ three-term solution is independent of applied loading under fully plasticity or large-scale defor-mation $A_2$ is a proper constraint parameter uring crack extension. Both J and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and $A_2$ are used to char-acterize the resistance curves of ductile crack growth using J as the loading level and A2 as a con-straint parameter. Approach of the constraint-corrected J-R curve is proposed and a procedure of transferring the J-R curves determined from standard ASTM procedure to non-standard speci-mens or real cracked structures is outlined. The test data(e.g. initiation toughness JIC and tearing modulus $T_R$) of Joyce and Link(Engineer-ing Fracture Mechanics 1997, 57(4) : 431-446) for single-edge notched bend[SENB] specimen with from shallow to deep cracks is employed to demonstrate the efficiency of the present approach. The variation of $J_{IC}$ and $T_R$ with the constraint parameter $A_2$ is obtained and a con-straint-corrected J-R curves is constructed for the test material of HY80 steel. Comparisons show that the predicted J-R curves can very well match with the experimental data for both deep and shallow cracked specimens over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. over a reasonably large amount of crack extension. Finally the present constraint-corrected J-R curve is used to predict the crack growth resistance curves for different fracture specimens. The constraint effects of specimen types and specimen sizes on the J-R curves can be easily obtained from the constrain-corrected J-R curves.

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Asymmetric Yield Functions Based on the Stress Invariants J2 and J3(II) (J2 와 J3 불변량에 기초한 비대칭 항복함수의 제안(II))

  • Kim, Y.S;Nguyen, P.V.;Ahn, J.B.;Kim, J.J.
    • Transactions of Materials Processing
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    • v.31 no.6
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    • pp.351-364
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    • 2022
  • The yield criterion, or called yield function, plays an important role in the study of plastic working of a sheet because it governs the plastic deformation properties of the sheet during plastic forming process. In this paper, we propose a modified version of previous anisotropic yield function (Trans. Mater. Process., 31(4) 2022, pp. 214-228) based on J2 and J3 stress invariants. The proposed anisotropic yield model has the 6th-order of stress components. The modified version of the anisotropic yield function in this study is as follows. f(J20,J30) ≡ (J20)3 + α(J30)2 + β(J20)3/2 × (J30) = k6 The proposed anisotropic yield function well explains the anisotropic plastic behavior of various sheets such as aluminum, high strength steel, magnesium alloy sheets etc. by introducing the parameters α and β, and also exhibits both symmetrical and asymmetrical yield surfaces. The parameters included in the proposed model are determined through an optimization algorithm from uniaxial and biaxial experimental data under proportional loading path. In this study, the validity of the proposed anisotropic yield function was verified by comparing the yield surface shape, normalized uniaxial yield stress value, and Lankford's anisotropic coefficient R-value derived with the experimental results. Application for the proposed anisotropic yield function to AA6016-T4 aluminum and DP980 sheets shows symmetrical yielding behavior and to AZ31B magnesium shows asymmetric yielding behavior, it was shown that the yield locus and yielding behavior of various types of sheet materials can be predicted reasonably by using the proposed anisotropic yield function.

A coverage driven test method for J2EE Applications through flow analysis (J2EE 애플리케이션의 흐름분석을 통한 커버리지 기반 테스트 방법)

  • Junggyw Lee;Seunghak Kuk;Hyeonsoo Kim
    • Proceedings of the Korea Information Processing Society Conference
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    • 2008.11a
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    • pp.516-519
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    • 2008
  • 최근 엔터프라이즈 애플리케이션은 J2EE 컴포넌트로 개발된다. J2EE 플랫폼은 애플리케이션을 개발하는데 편리한 기능을 제공한다. 하지만 J2EE 애플리케이션의 테스트는 J2EE 서버 내부에서 자원을 관리하는 컨테이너의 접근 통제 때문에 기존의 테스트 방법으로 수행하기 어렵다. 본 논문에서는 J2EE 환경에 맞는 J2EE 애플리케이션의 테스트 방법을 제안한다. 이 방법은 애플리케이션을 구성하는 EJB 컴포넌트를 정적 및 동적 분석하여 획득한 정보로 애플리케이션의 메소드 커버리지를 분석하고, 메소드 커버리지를 향상시키기 위한 테스트 데이터를 생성하여 J2EE 애플리케이션을 테스트한다.

Characterization and Identification of Bacteria from Putrefying Soybean Curd (부패하는 두부로부터 미생물의 분리ㆍ동정 및 특성조사)

  • 주길재;허상선;최용희;이인구
    • Food Science and Preservation
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    • v.5 no.3
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    • pp.292-298
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    • 1998
  • The isolates from putrefying soybean curd were identified as Acinetobacter calcoaceticus, Bacillus cereus, Bacillus sp., Cardiobacterium sp., Escherichia coli, Klebsiella pneumoniae, Pantoea sp., Salmonella typhimurium, Staphylococcus aureus, Xenorhabdus luminescens, Yersinia sp.. The existence percentages of the bacteria from putrefying soybean curd at room temperature storage were Bacillus cereus J55 23.57%, Xenorhabdus luminescens J48 22.73%, Acinetobacter calcoaceticus J61 22.26%, Klebsiella pneumoniae J62 21.25%, Salmonella typhimurium J51 2.87%, Pantoea sp. J57 2.65%, Bacillus sp. J58 1.43%, Cardiobacterium sp. J54 1.26%, Escherichia coli J53 1.20%, Staphvlococcus aureus J6O 0.93%, Yersinia sp. J50 0.05%, respectively. Four out of eleven bacteria as B. cereu J55, X. luminescens J48, Ac. calcoaceticus J61, Kl. pneumoniae J62 putrefied soybean curd and those bacteria produce amylase or proteinase as a extracellular enzyme. But S. typhimurium J51, Pantoea sp. J57, Bacillus sp. J58, Cardiobacterium sp. J54, E. coli 153, St. aureus J60, Yersinia sp. J50 were not putrefied soybean curd. The isolates detected to resistant on various antimicrobial agents. The majority were resistant to aminoside antiboitics as amicacin, gentamicin, tobramycin and were susceptible to ${\beta}$-lactamine antibiotics as penicillin G, oxacillin, cephalothin cefazolin, cefamandole.

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THE APPROXIMATION FOR FUNCTIONAL EQUATION ORIGINATING FROM A CUBIC FUNCTIO

  • Lee, Eun-Hwi;Chang, Ick-Soon;Jung, Yong-Soo
    • Honam Mathematical Journal
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    • v.30 no.2
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    • pp.233-246
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    • 2008
  • In this paper, we obtain the general solution of the following cubic type functional equation and establish the stability of this equation (0.1) $kf({{\sum}\limits^{n-1}_{j=1}}x_j+kx_n)+kf({{\sum}\limits^{n-1}_{j=1}}x_j-kx_n)+2{{\sum}\limits^{n-1}_{j=1}}f(kx_j)+(k^3-1)(n-1)[f(x_1)+f(-x_1)]=2kf({\sum\limits^{n-1}_{j=1}}x_j)=K^3{\sum\limits^{n-1}_{j=1}[f(x_j+x_n)+f(x_j-x_n)]$ for any integers k and n with k ${\geq}$ 2 and n ${\geq}$ 3.

HIGHER JET EVALUATION TRANSVERSALITY OF J-HOLOMORPHIC CURVES

  • Oh, Yong-Geun
    • Journal of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.341-365
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    • 2011
  • In this paper, we establish general stratawise higher jet evaluation transversality of J-holomorphic curves for a generic choice of almost complex structures J (tame to a given symplectic manifold (M, $\omega$)). Using this transversality result, we prove that there exists a subset $\cal{J}^{ram}_{\omega}\;{\subset}\;\cal{J}_{\omega}$ of second category such that for every $J\;{\in}\;\cal{J}^{ram}_{\omega}$, the dimension of the moduli space of (somewhere injective) J-holomorphic curves with a given ramication prole goes down by 2n or 2(n - 1) depending on whether the ramication degree goes up by one or a new ramication point is created. We also derive that for each $J\;{\in}\;\cal{J}^{ram}_{\omega}$ there are only a finite number of ramication profiles of J-holomorphic curves in a given homology class $\beta\;{\in}\;H_2$(M; $\mathbb{Z}$) and provide an explicit upper bound on the number of ramication proles in terms of $c_1(\beta)$ and the genus g of the domain surface.

IDEALS IN A TRIDIAGONAL ALGEBRA ALGL

  • LEE, SANG KI;KANG, JOO HO
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.257-267
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    • 2016
  • We find examples of Ideals in a tridiagonal algebra ALGL and study some properties of Ideals in ALGL. We prove the following theorems: Let k and j be fixed natural numbers. Let A be a subalgebra of ALGL and let A2,{k} ⊂ A ⊂ {T ∈ ALGL | T(2k-1,2k) = 0}. Then A is an ideal of ALGL if and only if A = A2,{k} where A2,{k} = {T ∈ ALGL | T(2k-1,2k) = 0, T(2k-1,2k-1) = T(2k,2k) = 0}. Let B be a subalgebra of ALGL such that B2,{j} ⊂ B ⊂ {T ∈ ALGL | T(2j+1,2j) = 0}. Then B is an ideal of ALGL if and only if B = B2,{j}, where B2,{j} = {T ∈ ALGL | T(2j+1,2j) = 0, T(2j,2j) = T(2j+1,2j+1) = 0}.

Inhibitory Potential of Bilobetin Against CYP2J2 Activities in Human Liver Microsomes

  • Wu, Zhexue;Jang, Su-Nyeong;Park, So-Young;Phuc, Nguyen Minh;Liu, Kwang-Hyeon
    • Mass Spectrometry Letters
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    • v.11 no.4
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    • pp.113-117
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    • 2020
  • Cytochrome P450 2J2 (CYP2J2) is a member of the cytochrome P450 superfamily, and is known to be arachidonic acid epoxygenase that mediates the formation of four bioactive regioisomers of epoxyeicosatrienoic acids (EETs). CYP2J2 is also involved in the metabolism of drugs such as albendazole, astemizole, danazol, ebastine, and terfenadine. CYP2J2 is highly expressed in the heart and cancer tissues. In this study, the inhibitory potential of ten natural products against CYP2J2 activity was evaluated using human liver microsomes and tandem mass spectrometry. Among them, bilobetin, which is a kind of biflavonoid, exhibits a strong inhibitory effect against the CYP2J2-mediated astemizole O-demethylation (IC50 = 0.73 μM) and terfenadine hydroxylation (IC50 = 0.89 μM). This result suggests that bilobetin can be used as strong CYP2J2 inhibitor in drug metabolism study.