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ADDITIVE OPERATORS PRESERVING RANK-ADDITIVITY ON SYMMETRY MATRIX SPACES

  • Tang, Xiao-Min;Cao, Chong-Guang
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.115-122
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    • 2004
  • We characterize the additive operators preserving rank-additivity on symmetry matrix spaces. Let $S_{n}(F)$ be the space of all $n\;\times\;n$ symmetry matrices over a field F with 2, $3\;\in\;F^{*}$, then T is an additive injective operator preserving rank-additivity on $S_{n}(F)$ if and only if there exists an invertible matrix $U\;\in\;M_n(F)$ and an injective field homomorphism $\phi$ of F to itself such that $T(X)\;=\;cUX{\phi}U^{T},\;\forallX\;=\;(x_{ij)\;\in\;S_n(F)$ where $c\;\in;F^{*},\;X^{\phi}\;=\;(\phi(x_{ij}))$. As applications, we determine the additive operators preserving minus-order on $S_{n}(F)$ over the field F.

Sintering and dielectric properties of $(Pb,La)TiO_3$ powder prepared by hydrothermal method (수열법에 의해 합성된$(Pb,La)TiO_3$분말의 소결 및 유전특성)

  • 김갑영;김판채;황완인;최종건
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.11 no.6
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    • pp.246-251
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    • 2001
  • The $[(Pb_{1-x}$La_{2x/3})TiO_3$, X=0.2] powder was synthesized by the hydrothermal method, and their sintering and dielectric properties according to Mn additive were examined. The relative density of sintered PLT specimen at $1150^{\circ}C$ for 5 hrs with Mn 0.02 mol% additive was 96.7%. The dielectric properties of sintered PLT specimen were changed by content of Mn and increacement of sintering temperature. Dissipation factor was improved by increasing of measuring temperature. Curie temperature of sintered PLT specimens was decreased with increasing of Mn additive.

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GENERALIZED ULAM-HYERS STABILITY OF C*-TERNARY ALGEBRA 3-HOMOMORPHISMS FOR A FUNCTIONAL EQUATION

  • Bae, Jae-Hyeong;Park, Won-Gil
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.147-162
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    • 2011
  • In this paper, we investigate the Ulam-Hyers stability of $C^{\star}$-ternary algebra 3-homomorphisms for the functional equation $$f(x_1+x_2,y_1+y_2,z_1+z_2)=\;\displaystyle\sum_{1{\leq}i,j,k{\leq}2}\;f(x_i,y_j,z_k)$$ in $C^{\star}$-ternary algebras.

The Effect of Pr Additive on Magnetostriction of Amorphous Fe-B Alloy (Pr 첨가가 Fe-B 비정질합금의 자왜에 미치는 영향)

  • 조용수;김윤배;김창석;김택기
    • Journal of the Korean Magnetics Society
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    • v.4 no.2
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    • pp.126-129
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    • 1994
  • In order to invetigate the effect of Pr additive on the magnetostriction of amorphous Fe-B alloys, amorphous $Fe_{86-x}B_{14}Pr_{x}(2{\leq}x{\leq}8\;at.%)$ alloys were prepared by a rapid solidification process. As the Pr content increased in the as-prepared amorphous $Fe_{84}B_{14}Pr_{2}$ alloy annealed at $300^{\circ}C$ for 2 hr increased to 70 ppm. Ac power loss and permeability$(f=50\;kHz,\;B_{m}=0.1\;T)$ of the annealed amorphous $Fe_{84}B_{14}Pr_{2}$ alloy were 15 W/kg and $5.5{\times}10^{3}$, respectively.

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A Study on the Magnetic Properties of Melt-Spun (Fe, T)-Nd-C Alloys (TAl, Ti, Co, Ni)

  • Jang, T.S.;Cho, D.H.
    • Journal of Magnetics
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    • v.3 no.4
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    • pp.116-119
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    • 1998
  • Influence of small additions ($\leq$2.0 at.%) of Al, Ti, Co, and Ni on the microstructural development and the magnetic properties of melt-spun Fe-Bd-C alloys was investigated. Addition of these elements tended to stabilize the crystallization of as-spun ribbons. Especially, Al and Ti preferred to stabilize$ Fe_{17}Nd_2C_x.$ The average grain size of Fe17Nd2Cx (0.1~0.3 ${\mu}{\textrm}{m}$), obtained by a proper annealing, in the ribbon treated with 0.5 at.% additive was much smaller than that of additive-free ribbons, which would be the major source of large increase in coercivity. Among the additives, Ni was very effective to increase the coercivity whereas Co had beneficial effect on $T_c.$ By adding 0.5 at.% Ni, intrinsic coercivities of more than 1.4 T, 40~50% higher than that (~1.0T) of additive-free ribbons, can be obtained after annealing at 750~80$0^{\circ}C$.

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Effect of Ag on microstructural behaviour of Nanocrystalline $Fe_{87-x}Zr_7B_6Ag_x$($0{\leq}x_{Ag}{\leq}4$) Magnetic Thin Films Materials

  • Lee, W.J.;Min, B.K.;Song, J.S.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2002.04a
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    • pp.3-6
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    • 2002
  • Effect of Ag additive element on microstructure of $Fe_{87-x}Zr_7B_6Ag_x$, magnetic thin films on Si(001) substrates has been investigated using Transmission Electron Microscopy(TEM) and X-ray Diffraction(XRD). All samples with additive Ag element were made by DC-sputtering and subjected to annealing treatments of $300^{\circ}C{\siim}600^{\circ}C$ for 1 hr. TEM and XRD showed that perfectly amorphous state in Ag-free Fe-based films was observed in as-deposited condition. The as-deposited Fe-based films with the presence of Ag constituent have a mixture of Fe-based amorphous and nano-sized Ag crystalline phases. In this case, additive element, Ag was soluted into Fe-based matrix. With the increase in additive element, Ag, insoluble nano-crystalline Ag particles were dispersed in the Fe-based amorphous matrix. Crystallization of Fe-based amorphous phase in the matrix of $Fe_{82}Zr_7B_6Ag_5$ thin films occurred at an annealing temperature of $400^{\circ}C$. Upon annealing, the amorphous-Ag crystalline state of Fe-Zr-B-Ag films was transformed into the mixture of Ag crystalline phase + Fe-based amorphous phase + ${\alpha}$-Fe cluster followed by the crystallization process of ${\alpha}$-Fe nanocrystalline + Ag crystalline phases.

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Effect of Mg Additive in the Bi1.84Pb0.34Sr1.91Ca2.03Cu3.06O10+δ(110 K phase) Superconductors (Bi1.84Pb0.34Sr1.91Ca2.03Cu3.06O10+δ(110 K 상)산화물 고온초전도체에 Mg 첨가에 따른 영향)

  • 이민수
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.16 no.6
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    • pp.522-531
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    • 2003
  • Samples with the nominal composition, B $i_{1.84}$P $b_{0.34}$S $r_{1.91}$C $a_{2.03}$C $u_{3.06}$ $O_{10+{\delta}}$ high- $T_{c}$ superconductors containing MgO as an additive were fabricated by a solid-state reaction method. Samples with MgO of 5~30 wt% each were sintered at 820~86$0^{\circ}C$ for 24 hours. The structural characteristics, critical temperature, grain size and image of mapping with respect to MgO contents were analyzed by XRD(X-Ray Diffraction), SEM(Scanning Electron Microscope) and EDS(Energy dispersive X-ray spectrometer) respectively. As MgO contents increased, intensity of MgO Peaks and ratio of Bi-2212 phase in superconductors intensified and the proportion of the phase transition from Bi-2223 to Bi-2212 was increased.

Microwave Dielectric Properties of the ($Ba_{1-x}Sr_{x}$)O-$Sm_2O_3$-$TiO_2$ Ceramics. (($Ba_{1-x}Sr_{x}$)O-$Sm_2O_3$-$TiO_2$세라믹스의 마이크로파 유전특성)

  • 박인길;류기원;배선기;이영희
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1995.11a
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    • pp.5.2-8
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    • 1995
  • 0.15($Ba_{1-x}Sr_{x}$)O-$0.15Sm_2O_3$-$0.7TiO_2$(x=0∼9[m/o]ceramics were fabricated by mixed-oxide method. Microwave dielectric properties were investigated with sintering conditions aid Sr addictive. In the specimen with x=0[m/o] sintered at 1350∼1470[$^{\circ}C$], dielectric constant, quality factor and temperature coefficient of resonant frequency were 70∼74, 2800∼3300(at 3[GHz]), -1.33∼+l.66[ppm/$^{\circ}C$, respectively. Increasing the Sr additive from 0 to 5[m/o], dielectric constant and temperature coefficient of resonant frequency were increased and quality factor was decreased. In the specimen with x=r[m/o] sintered at 1375[$^{\circ}C$], 6[hr], dielectric constant, quality factor and temperature coefficient resonant frequency were 75.62, 2785(at 3[GHz]), +8.39[ppm/$^{\circ}C$], respectively.

Study on the Measurement of Emission Spectrum and Reaction Mechanism of OH Radical in the Nitrogen Corona Discharge System for Removal of $NO_x$ in Flue Gas (배연가스의 $NO_x$제거용 코로나 방전장치에서 OH 발광 스펙트럼 측정 및 관련 반응 연구)

  • Park, Chul-Woung;Hahn, Jae-Won;Shin, Dong-Nam
    • Journal of the Korean Society of Combustion
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    • v.4 no.1
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    • pp.27-38
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    • 1999
  • We constructed a wire-cylinder type pulsed corona discharge system for $NO_x$ removal, which was operated in room temperature. A emission spectrometer was built with a boxcar averager and monochrometer equipped with photo-multiplier tube detector. The sensitivity of the emission spectrometer was greatly improved by synchronizing the emission spectrometer with pulsed corona discharge system using a triggered spark-gap switch. $N_2$ spectrum($c^3{\Pi}_u{\rightarrow}X^1{\Sigma}_g{^+}$) was measured in the range of 300 - 450 nm and oxidizing OH radical emission($A^2{\Sigma}^+{\rightarrow}X^2{\Pi}$) was measured in case $N_2$ was supplied with water bubbling. As wet gas composition of inlet $N_2$ supplied in the discharge system increased, the intensity of OH emission was increased and saturated at wet gas composition 50%. We also investigated additive effect of $C_2H_4,\;H_2O,\;H_2O_2$ on the intensity of OR emission and $NO/NO_2/NO_x$ reduction and analysed the related reaction mechanism in corona discharge process. $H_2O_2$ additive increased the intensity of OH emission and $NO/NO_x$ reduction.

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A study on the piezoelectric characteristics of 0.05PAN-0.95PZT ceramics with additive (첨가제에 의한 0.05PAN-0.95PZT계 세라믹의 압전특성에 관한 연구)

  • 김현철;허석현;김진섭;임인호;배선기
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.07a
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    • pp.419-422
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    • 2000
  • This paper was to measure the structure, piezoelectric properties of 0.05Pb($A1_{0.5}$$Nb_{0.5}$)-0.95Pb($Zr_{0.52}$$Ti_{0.48}$)$O_3$ ceramics dopped with additive after creating the specimens with a general method. It is shown that X-ray diffraction pattern variation of lines (200) have tendency to move in simple peak by addition of additive. According to the increase of $Cr_2$$O_3$, tetragonality hardly have variation, according to the increase of $Fe_2$$O_3$, tetragonality decreased on the whole. According to dopping with $Cr_2$$O_3$ and $Fe_2$$O_3$, electromechanical factor(kp) largely increased, in case of sintering at $1200^{\circ}C$ kp was maximum value of 40.04[%] at $Cr_2$$O_3$ 0.3wt%, and maximum value of kp 42.9 [%] at $Fe_2$$O_3$, 0.9wt%. In case of sintering at 120$0^{\circ}C$, mechanical duality factor(Qm) was maximum value of Qm 268.8 at $Cr_2$$O_3$, 0.9 wt%.

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