• Title/Summary/Keyword: compound matrix

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COMPOUND-COMMUTING ADDITIVE MAPS ON MATRIX SPACES

  • Chooi, Wai Leong
    • Journal of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.83-104
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    • 2011
  • In this note, compound-commuting additive maps on matrix spaces are studied. We show that compound-commuting additive maps send rank one matrices to matrices of rank less than or equal to one. By using the structural results of rank-one nonincreasing additive maps, we characterize compound-commuting additive maps on four types of matrices: triangular matrices, square matrices, symmetric matrices and Hermitian matrices.

Studies on the Evolution of the Surface Roughness with Development of Surface Compound Layer in Salt Bath Nitrocarburising (Tufftride) (침질침탄시 화합물층의 성장에 따른 표면조도 변화에 관한 연구)

  • Song, K.S.;Moon, K.I.;Kim, S.W.
    • Journal of the Korean Society for Heat Treatment
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    • v.16 no.5
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    • pp.253-259
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    • 2003
  • In this study, to find out the reason of deterioration in surface roughness of steel and cast iron after Tufftride, it has been investigated on the relation between the surface roughness and various factors such as the evolution of compound layer, surface morphology, and surface hardness, and change of pore ratio in the compound layer during Tufftride at $580^{\circ}C$. It is found that the surface roughness was increased with the evolution of compound layer during Tufftride of steel and cast iron. The change of surface roughness after Tufftride was reduced with decreasing tho content of carbon and cementite ($Fe_3C$) in the materials. in the cast irons, the various shaped graphites that was exposed to the surface should induce the discontinuous growth of the compound layer, and this resulted in the incoherent interfaces between matrix and compound layer and the deterioration of surface roughness. In the steels, the existence of cementites in the matrix resulted in the incoherent interfaces between matrix and compound layer. It is considered that during Tufftride the surface roughness must be mainly influenced by the formation of the incoherent interface between compound layer and matrix that is affected by some factors such as the microstructure, the composition, and the hardness of the matrix.

Study on the Reproductive Biology of the Giant Freshwater Prawn, Macrobrachium rosenbergii(De Man) III. Structure of Male Reproductive Organ and Spermatophore (대형 담수산새우, Macrobrachium rosenbergii (De Man) 의 생식생현에 관한 연구 III. 수새우 생식기관과 정포의 형태)

  • 권진수;이복규;김병기
    • Journal of Life Science
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    • v.9 no.4
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    • pp.460-465
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    • 1999
  • In the giant freshwater prawn Macrobrachium rosenbergii, the paired testes were united by the testes bridge in a H-shape. During mating male discharged two hemispermtophores from right and left genital pore and they were joined and formed a compound spermatophore in peach shape. Hemispermatophore was considered to be produced at proximal and middle vas deferens region. The compound spermatophore consisted of an eosinophilic inner matrix, a basophilic outer matrix and paired sperm mass burried in the basophilic matrix. The size of compound spermatophore was 6.4∼ 9.3 mm in length and 2.4∼5.1 mm in width regardless of carapace length. After the spermatophore was deposited on female's ventral sternum behind of 5th pereiopod, it was moved to the ventral surface of 3rd and 4th pereiopods by means of the beating of male's 1st and 2nd pleopods.

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A study of matrix metalloproteinase-9 inhibitor in Hovenia dulcis Thunberg (헛개나무내의 Matrix Metalloproteinase-9 활성 억제제에 관한 연구)

  • Kim, Eun-Ho;Lee, Kwang-Soo
    • Analytical Science and Technology
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    • v.24 no.2
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    • pp.135-141
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    • 2011
  • MMPs (Matrix metalloproteinases) are enzymes playing an important role to turnover and remodel main protein compositions of extracellular matrix. MMP-2 and MMP-9 of MMPs having a catalytic domain which is apart from a hemopexin-like domain part, are different from the other MMPs pertaining fibronectinlike domain close to hemopexin-like domain. It was reported that the development of MMP-9 restrainer can prevent the transfer of liver cancer. In this study, MMP-9 restrainers were extracted and purified from Hovenia dulcis Thunberg. The each fractionary part was examined to investigate the inhibitory effect on MMPs. Three compounds, compound A and B eluted with ethyl acetate (EA) and compound C with methanol, were identified by $^1H$ and $^{13}C$ NMR, GC/MS, and FT-IR. Compound A is considered as a kind of catechine type compound having a benzene ring substituted by hydroxyl and methoxyl groups. Compound B and C are nobiletin type compound pertaining a carbonyl group. Compound A, B and C showed 76%, 66% and 71% of inhibition effect on MMP-9 at 1.0% concentration, respectively. Compound A showed the best inhibition effect on MMP-9.

Study for State Analysis of Linear Systems by using Hartley Functions (Harltley 함수를 이용한 선형시스템의 상태해석에 관한 연구)

  • Kim, Beom-Soo;Min, Chi-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.9
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    • pp.806-811
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    • 2012
  • In this paper Hartley functions are used to approximate the solutions of continuous time linear dynamical system. The Hartley function and its integral operational matrix are first presented, an efficient algorithm to solve the Stein equation is proposed. The algorithm is based on the compound matrix and the inverse of sum of matrices. Using the structure of the Hartley's integral operational matrix, the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

Fraccture Behavior of Recation Squeeze Cast ($AI_20_3{\cdot}SiO_2+Ni$)/Al Hybrid Metal Matrix Composites (반응 용탕단조한(AI203 . SIO2+Ni)/Al하이브리드 금속복합재료의 파괴거동 특성)

  • 김익우;김상석;박익민
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.67-70
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    • 2000
  • Mechanical properties of (10%$AI_20_3{\cdot}SiO_2$+5%Ni)/Al hybrid composites fabricated by the reaction squeeze casting were compared with those of (15%$AI_20_3{\cdot}SiO_2$)/Al composites. Intermetallic compound formed by reaction between molten aluminum and reinforcing powder was uniformly distributed in the Al matrix. These intermetallic compounds were identified as $Al_3$NI using EDS and X-ray diffraction analysis. Microhardness and flexural strength of hybrid composites were higher than that of (15%$AI_20_3{\cdot}SiO_2$)/Al Composite. In-Situ fracture tests were Conducted on (15%$AI_20_3{\cdot}SiO_2$)/Al Composites and (10%$AI_20_3{\cdot}SiO_2$+5%Ni)/Al hybrid composites to identify the microfracture process. It was identified from the in-situ fracture test of (10%$AI_20_3{\cdot}SiO_2$+5%Ni)/Al composites, microcracks were initiated mainly at the short fiber / matrix interfaces. As the loading was continued, the crack propagated mainly along the separated interfacial regions and the well developed shear bands. It was identified from the in-situ fracture test of (10%$AI_20_3{\cdot}SiO_2$+5%Ni)/Al hybrid composites, microcracks were initiated mainly by the short fiber/matrix interfacial debonding. The crack proceeded mainly through the intermetallic compound clusters

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A Tip for Crystallographic Unit Cell Transformation Verified by a Chiral Compound $[C_{24}H_{22}N_4O_4S]_2HCl$ (Chiral Compound $[C_{24}H_{22}N_4O_4S]_2HCl$로 확인한 결정학적 단위포 변환시의 한 조언)

  • Suh, Il-Hwan;Kim, Jin-Gyu;Park, Ji-Cheol;Park, Young-Soo;Park, Kyung-Lae
    • Korean Journal of Crystallography
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    • v.11 no.2
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    • pp.89-94
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    • 2000
  • A crystallographic unit cell can be transformed into another one by a 3×3 transformantion matrix. If the determinant of the transformation matrix has a negative value, the newly transformed unit cell becomes a left-handed cell. The best way of transforming the left-handed cell to the right-handed one is to multiply each element of the transformation matrix by-1, and its corresponding transformation matrix must be applied tot he atomic coordinates of a noncentrosymmetric crystal so as to maintain the absolute configuration unchanged. The behaviour of absolute configuration caused by transforming the crystallographic unit cell was examined theoretically and experimentally on the compound (S)-(+)-4-phenyl-1-[4-aminobenzoyl) indoline-5-sulfonyl]-4,5-dihydro-2-imidazolone hydrochloride.

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Large Deflection Analysis of a Plane Frame with Local Bending Collapse (국부적 굽힘붕괴를 수반하는 평면프레임의 대변형 해석)

  • 김천욱;원종진;강명훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1889-1900
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    • 1995
  • In this study, a large deflection analysis of a plane frame composed of a thin-walled tube in investigated. When bent, a thin-walled tube is usually controlled by local buckling and subsequent bending collapse of the section. So load resistance reaches the yield level in a thin-walled rectangular tube. This relationship can be divided into three regimes : elastic, post-buckling and crippling. In this paper, this relationship is theoretically presented to be capable of describing nonlinearities and a stiffness matrix is derived by introducing a compound beam-spring element. A numerical analysis uses a constant incremental energy method and the solution is obtained by modifying stiffness matrix at elastic/inelastic stage. This analytical results, load-deflection paths show a good agreement with the test results.

Effect of CNTs on Electrical Properties and Thermal Expansion of Semi-conductive Compounds for EHV Power Cables

  • Jae-Gyu Han;Jae-Shik Lee;Dong-Hak Kim
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.36 no.6
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    • pp.603-608
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    • 2023
  • Carbon black with high purity and excellent conductivity is used as a conductive filler in the semiconductive compound for EHV (Extra High Voltage) power cables of 345 kV or higher. When carbon black and CNT (carbon nanotube) are applied together as a conductive filler of a semiconductive compound, stable electrical properties of the semiconductive compound can be maintained even though the amount of conductive filler is significantly reduced. In EHV power cables, since the semi-conductive layer is close to the conductor, stable electrical characteristics are required even under high-temperature conditions caused by heat generated from the conductor. In this study, the theoretical principle that a semiconductive compound applied with carbon black and CNT can maintain excellent electrical properties even under high-temperature conditions was studied. Basically, the conductive fillers dispersed in the matrix form an electrical network. The base polymer and the matrix of the composite, expands by heat under high temperature conditions. Because of this, the electrical network connected by the conductive fillers is weakened. In particular, since the conductive filler has high thermal conductivity, the semiconductive compound causes more thermal expansion. Therefore, the effect of CNT as a conductive filler on the thermal conductivity, thermal expansion coefficient, and volume resistivity of the semiconductive compound was studied. From this result, thermal expansion and composition of the electrical network under high temperature conditions are explained.