• Title/Summary/Keyword: property ($B_2$)

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WEAKLY TRIPOTENT RINGS

  • Breaz, Simion;Cimpean, Andrada
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.4
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    • pp.1179-1187
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    • 2018
  • We study the class of rings R with the property that for $x{\in}R$ at least one of the elements x and 1 + x are tripotent. We prove that a commutative ring has this property if and only if it is a subring of a direct product $R_0{\times}R_1{\times}R_2$ such that $R_0/J(R_0){\cong}{\mathbb{z}}_2$, for every $x{\in}J(R_0)$ we have $x^2=2x$, $R_1$ is a Boolean ring, and $R_3$ is a subring of a direct product of copies of ${\mathbb{z}}_3$.

Effect of Mg content on the density and critical properties of in-situ reacted MgB2 bulk superconductor

  • Jun, Byung-Hyuk;Kim, Dan-Bi;Park, Soon-Dong;Kim, Chan-Joong
    • Progress in Superconductivity and Cryogenics
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    • v.16 no.1
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    • pp.19-22
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    • 2014
  • The effects of Mg content on the pore formation, density and critical properties were investigated in in-situ reacted $MgB_2$ superconductors. The $Mg_{1+x}B_2$, (x=-0.2, 0.0, 0.05, 0.3, 1.0) bulk samples with different Mg contents were heat-treated at $900^{\circ}C$ for 1 h in an Ar atmosphere. The dimensional changes of a pellet's mass and volume after heat-treatment were measured. After heat-treatment process, the sample mass was decreased by Mg evaporation, but the sample volume was expanded by pore formation at the Mg site; therefore, the apparent density was decreased. Spherical pores the same as Mg particles were developed after heat-treatment in all samples, and the pore density was increased with increasing Mg content. As the x of Mg content was increased to 1.0, the apparent density of $Mg_{1+x}B_2$ samples was decreased due to a relatively larger reduction in a mass change. The critical current density of Mg excessive sample of x=0.05 showed the highest values over the applied magnetic fields because the excessive Mg may compensate Mg loss and enhance grain connectivity.

WEYL@S THEOREMS FOR POSINORMAL OPERATORS

  • DUGGAL BHAGWATI PRASHAD;KUBRUSLY CARLOS
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.529-541
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    • 2005
  • An operator T belonging to the algebra B(H) of bounded linear transformations on a Hilbert H into itself is said to be posinormal if there exists a positive operator $P{\in}B(H)$ such that $TT^*\;=\;T^*PT$. A posinormal operator T is said to be conditionally totally posinormal (resp., totally posinormal), shortened to $T{\in}CTP(resp.,\;T{\in}TP)$, if to each complex number, $\lambda$ there corresponds a positive operator $P_\lambda$ such that $|(T-{\lambda}I)^{\ast}|^{2}\;=\;|P_{\lambda}^{\frac{1}{2}}(T-{\lambda}I)|^{2}$ (resp., if there exists a positive operator P such that $|(T-{\lambda}I)^{\ast}|^{2}\;=\;|P^{\frac{1}{2}}(T-{\lambda}I)|^{2}\;for\;all\;\lambda)$. This paper proves Weyl's theorem type results for TP and CTP operators. If $A\;{\in}\;TP$, if $B^*\;{\in}\;CTP$ is isoloid and if $d_{AB}\;{\in}\;B(B(H))$ denotes either of the elementary operators $\delta_{AB}(X)\;=\;AX\;-\;XB\;and\;\Delta_{AB}(X)\;=\;AXB\;-\;X$, then it is proved that $d_{AB}$ satisfies Weyl's theorem and $d^{\ast}_{AB}\;satisfies\;\alpha-Weyl's$ theorem.

Magnetic Property of ${\mu}$-Peroxo-bis[bis(diphenylglyoximato)iron(Ⅲ)] (${\mu}$-Peroxo-bis[bis(diphenylglyoximato)iron(Ⅲ)]의 자기적 성질)

  • Chong Shik Chin;L. Vaska
    • Journal of the Korean Chemical Society
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    • v.24 no.3
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    • pp.233-238
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    • 1980
  • It was observed that the magnetic moment for iron in $[(DPGH)_2FeO_2Fe(DPGH)_2]$, the oxygenation product of a octahedral iron(Ⅱ) complex, $[Fe(DPGH)_2(NH_3_2]$, decreases with decreasing temperature from ${\mu}$ = 3.60 B.M (Bohr Magneton) per iron at $298^{\circ}$K down to ${\mu}$ = 1.65 B.M per iron at $4.2^{\circ}K$. This observation may be explained by a weak antiferromagnetic coupling between two iron(Ⅲ) atoms of intermediate spin state (S = 3/2) in the molecule with the coupling constant $J = -l cm^{-1}$.

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Design of a 2.4GHz CMOS Low Noise Amplifier (2.4GHz CMOS 저잡음 증폭기)

  • 최혁환;오현숙;김성우;임채성;권태하
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.7 no.1
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    • pp.106-113
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    • 2003
  • In this paper, we proposed low noise amplifier for 2.4GHz ISM frequency with CMOS technology. The property of noise and gain is improved by cascode architecture. The architecture, which common source output of cascode is connected to input of parallel MOS, reduce IM. The LNA results based on Hynix 0.35${\mu}{\textrm}{m}$ 2poly 4metal CMOS processor with a 3.3V supply. It achieves a gain of 13dB, noise figure of 1.7dB, IP3 of 8dBm, Input/output matching of -31dB/-28dB, reverse isolation of -25dB. and power dissipation of 4.7mW with HSPICE simulation. The size of layout is smaller than 2 ${\times}$ 2mm with Mentor.

Effects of Melt Super-heating on the Shape Modification of ${\beta}-AlFeSi$ Intermetallic compound in AC2B Aluminum Alloy (AC2B 알루미늄합금의 고온용해에 의한 금속간화합물 ${\beta}-AlFeSi$상 형상계량 효과)

  • Kim, Heon-Joo
    • Journal of Korea Foundry Society
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    • v.21 no.3
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    • pp.179-186
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    • 2001
  • Melt super-heating which promotes shape modification of ${\beta}$ intermetallic compounds was conducted to improve mechanical properties of recycled AC2B aluminum alloy. Modification of needle-shape ${\beta}$ intermetallic compounds was effective for the specimens of AC2B aluminum alloys containing 0.85wt.% Fe by melt super-heating, in which the melts had been held at $850^{\circ}C$ or $950^{\circ}C$ for 30 minutes respectively. Owing to the modification of needle-shape of ${\beta}$ intermetallic compounds by melt superheating of the alloy with containing 0.85wt.% Fe to $950^{\circ}C$, increases in elongation and tensile strength were prominent to be more than double and 55% respectively in comparison with the melt heated to $740^{\circ}C$. Moreover, modification of needle-shape ${\beta}$ intermetallic compounds in the alloy containing O.85wt.% Fe by $950^{\circ}C$ melt super-heating led to 48% improvement of the value of impact absorbed energy as compared with the melt heated to $740^{\circ}C$.

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Influence of Ag Addition on Superconducting Property of Carbon-black Doped $MgB_2$ Superconductor (카본블랙이 도핑 된 $MgB_2$ 초전도체의 Ag 첨가의 영향)

  • Kim, H.J.;Kim, H.J.;Kim, C.J.;Park, H.W.
    • Progress in Superconductivity
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    • v.12 no.1
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    • pp.1-5
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    • 2010
  • In this work we synthesized both MgB2 and Carbon doped MgB2 superconductor with Ag addition via high energy milling and substituent heat treatment. Heat treatments were performed at $900\;^{\circ}C$ for 30 min in flowing Ar gas. We varied amount of Ag powder. In a range of Ag powder was 0~5wt%. The effect of Ag was correlated with superconducting properties. The results show a slight decrease in critical temperature ($T_c$) and a reduction of critical current density ($J_c$) at high fields for the Ag-doped samples as compared to the un-doped samples. Reduction of $J_c$ may be due to the formation of MgAg compound.

A Study on the Wear Behavior of the Cu-TiB2 Composites (Cu-TiB2 복합재료의 마모거동에 관한 연구)

  • Kim Jung-Nam;Choi Jong-Un;Kang Kae-Myung
    • Korean Journal of Materials Research
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    • v.15 no.1
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    • pp.61-65
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    • 2005
  • The titanium $diboride(TiB_2)$ has high strength(750MPa), high melting point $(3225^{\circ}C)\;and\;10\%$ IACS electrical conductivity. On this account, the dispersion hardening $Cu-TiB_2$ composites(MMCs) are a promising candidate for applications as electrical contact materials. MMCs for electrical contact materials can reduce material cost and resource consumption caused by wear, due to its good mechanical and electrical property. In this study, we attempt to prepare MMCs with various volume fraction and particle size of $TiB_2$ by means of hot extruded and cold drawn process. Dry sliding wear tests were performed on a pin-on-disk type wear tester, sliding against SM45C under the different applied loads. After wear testing, the microstructures of the worn surfaces were observed by SEM and the microhardnesses of the subsurface zone were measured.

Mechanical Properties of B4C Ceramics Fabricated by a Hot-press Sintering (일축 가압 소결법을 이용한 고밀도 탄화 붕소 제조 및 기계적 특성)

  • Chae, Jae-Hong;Park, Joo-Seok;Ahn, Jong-Pil;Kim, Kyoung-Hun
    • Journal of the Korean Ceramic Society
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    • v.46 no.1
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    • pp.81-85
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    • 2009
  • $B_4C$ ceramics were fabricated by a hot-press sintering method and their sintering behavior, microstructure and mechanical properties were evaluated. Relative density of $B_4C$ ceramics were obtained by a hot-press sintering method reached as high as 99% without any sintering additives. The mechanical properties of $B_4C$ ceramics was improved by a methanol washing process which can remove $B_2O_3$ phase from a $B_4C$ powder surface. This improvement results from the formation of homogeneous microstructure because the grain coarsening was suppressed by the elimination of $B_2O_3$ phase. Particularly, mechanical properties of the sintered specimen using a methanol washed powder improved compared with the specimen using an as-received commercial powder.

UPPER TRIANGULAR OPERATORS WITH SVEP

  • Duggal, Bhagwati Prashad
    • Journal of the Korean Mathematical Society
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    • v.47 no.2
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    • pp.235-246
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    • 2010
  • A Banach space operator A $\in$ B(X) is polaroid if the isolated points of the spectrum of A are poles of the resolvent of A; A is hereditarily polaroid, A $\in$ ($\mathcal{H}\mathcal{P}$), if every part of A is polaroid. Let $X^n\;=\;\oplus^n_{t=i}X_i$, where $X_i$ are Banach spaces, and let A denote the class of upper triangular operators A = $(A_{ij})_{1{\leq}i,j{\leq}n$, $A_{ij}\;{\in}\;B(X_j,X_i)$ and $A_{ij}$ = 0 for i > j. We prove that operators A $\in$ A such that $A_{ii}$ for all $1{\leq}i{\leq}n$, and $A^*$ have the single-valued extension property have spectral properties remarkably close to those of Jordan operators of order n and n-normal operators. Operators A $\in$ A such that $A_{ii}$ $\in$ ($\mathcal{H}\mathcal{P}$) for all $1{\leq}i{\leq}n$ are polaroid and have SVEP; hence they satisfy Weyl's theorem. Furthermore, A+R satisfies Browder's theorem for all upper triangular operators R, such that $\oplus^n_{i=1}R_{ii}$ is a Riesz operator, which commutes with A.