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FERMAT'S EQUATION OVER 2-BY-2 MATRICES

  • Chien, Mao-Ting;Meng, Jie
    • 대한수학회보
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    • 제58권3호
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    • pp.609-616
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    • 2021
  • We study the solvability of the Fermat's matrix equation in some classes of 2-by-2 matrices. We prove the Fermat's matrix equation has infinitely many solutions in a set of 2-by-2 positive semidefinite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic field matrices.

Mg-Cu-Y합금의 벌크 비정질화 및 상분해 거동 (Bulk Amophisation and Decomposition Behavior of Mg-Cu-Y Alloys)

  • 김상혁;김도향;이종수;박찬경
    • Applied Microscopy
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    • 제26권2호
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    • pp.235-241
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    • 1996
  • Amophization and decomposition behaviour in $Mg_{62}Cu_{26}Y_{12}$ alloy prepared by melt spinning method and wedge type metal mold casting method have been investigated by a detailed transmission electron microscopy. Amorphous phase has formed in melt-spun ribbon. In the case of the wedge type specimen, however, the amorphous phase has formed only around the tip area within about 2 mm thickness. The remaining part of the wedge type specimen consists of crystalline phases, $Mg_{2}Cu\;and\;Cu_{2}Y$. The supercooling for crystallization behaviour of the amorphous $Mg_{62}Cu_{26}Y_{12}$ alloy, ${\Delta}T_x$ has been measured to be about 60 K. Such a large undercooling of the crystallization bahaviour enables formation of the amorphous phase in the $Mg_{62}Cu_{26}Y_{12}$ alloy under the cooling rate of $10^{2}K/s$. The amorphous $Mg_{62}Cu_{26}Y_{12}$ has decomposed into crystalline phases, $Mg_{2}Cu\;and\;Cu_{2}Y$ after heat treatment at $170^{\circ}C\;and\;250^{\circ}C$.

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A RF Frong-End CMOS Transceiver for 2㎓ Dual-Band Applications

  • Youn, Yong-Sik;Kim, Nam-Soo;Chang, Jae-Hong;Lee, Young-Jae;Yu, Hyun-Kyu
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제2권2호
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    • pp.147-155
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    • 2002
  • This paper describes RF front-end transceiver chipset for the dual-mode operation of PCS-Korea and IMT-2000. The transceiver chipset has been implemented in a $0.25\mutextrm{m}$ single-poly five-metal CMOS technology. The receiver IC consists of a LNA and a down-mixer, and the transmitter IC integrates an up-mixer. Measurements show that the transceiver chipset covers the wide RF range from 1.8GHz for PCS-Korea to 2.1GHz for IMT-2000. The LNA has 2.8~3.1dB NF, 14~13dB gain and 5~4dBm IIP3. The down mixer has 15.5~16.0dB NF, 15~13dB power conversion gain and 2~0dBm IIP3. The up mixer has 0~2dB power conversion gain and 6~3dBm OIP3. With a single 3.0V power supply, the LNA, down-mixer, and up-mixer consume 6mA, 30mA, and 25mA, respectively.

Glycoportein IIb/IIIa와 칼슘동원의 조절을 통한 Steppogenin의 혈소판활성 억제효과 (Inhibitory Actions of Steppogenin on Platelet Activity Through Regulation of Glycoprotein IIb/IIIa and Ca2+ Mobilization)

  • 신정해;하주연;권혁우
    • 생약학회지
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    • 제51권2호
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    • pp.100-106
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    • 2020
  • The extract of Cudrania tricuspidata is used in ethnomedicine throughout Eastern Asia in China, Korea and Japan. In Korean traditional medicine, Cudrania tricuspidata has been used to treat eczema, mumps, tuberculosis, contusions, insomnia and acute arthritis. In addition, it has been reported that root extract of Cudrania tricuspidata has anti-platelet effects. Therefore, we investigated which compound in Cudrania tricuspidata has inhibitory effect on platelet aggregation. In this study, we tried to explain the inhibitory mechanism of steppogenin from Cudrania tricuspidata on human platelet aggregation. Collagen-induced human platelet aggregation and [Ca2+]i mobilization were dose-dependently inhibited by steppogenin and we determined the inhibition by steppogenin is due to the down regulation of extracellular-signal-regulated kinase(ERK) and inositol-1,4,5-triphosphate receptor type I(IP3RI) phosphorylation. In addition, steppogenin inhibited collagen-induced fibronectin adhesion to αIIb/β3 and thromboxane A2 generation. Thus, in the present study, steppogenin showed an inhibitory effect on human platelet aggregation, suggesting its potential use for preventing platelet-induced cardiovascular disease.

50% NH3-Air-N2가스분위기에서 Oxynitriding시 Compound Layer의 성장 특성에 미치는 공기첨가효과 (Effect of Air Additions on the Growth Characteristics of the Compound Layer during Oxynitriding in50%NH3+Air+N2 Atmosphere)

  • 김영희;이영숙
    • 열처리공학회지
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    • 제7권3호
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    • pp.206-218
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    • 1994
  • In 50%$NH_3+Air+N_2$ atmospheres, the effect of air additions on the growth characteristics of the compound layer during oxynitriding at $570^{\circ}C$ for 2hr in carbon and alloy steels has been investigated. The ammount of apparent residual ammonia during oxynitriding has shown to be increased with air additions(9~36 Vol. %) and X-ray diffraction analysis of case oxynitreded has shown that the compound layer consist of ${\varepsilon}-Fe_{2-3}$(N, C) phase and ${\gamma}^{\prime}-Fe_4$(N,C) phase. In the case of carbon steels, the thickness of oxide layer, compound layer and porous layer and the amount of ${\varepsilon}-Fe_{2-3}$(N,C) phase in the compound layer were increased with additions of air in 50%$NH_3+N_2$ atmospheres. At the same gas composition, the thickenss of oxide layer, compound layer and porous layer in alloy steels showed slightly thin layer thickness compared to those of carbon steels and the ${\gamma}^{\prime}-Fe_4$(N,C) phase in the compound layer of alloy steels was found barely. Therefore, the most obvious effect of air addition in the gas nitriding atmosphere has been found to in crease further kinetics of nitriding reaction.

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광(光) CVD 법(法)에 의한 a-Si 태양전지(太陽電池)의 고효율화에 관한 연구(硏究) (The High Efficiency of Amorphous-Si Solar Cells Prepared by Photo-CVD System)

  • 김태성
    • 태양에너지
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    • 제5권2호
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    • pp.46-53
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    • 1985
  • Hydrogenated amorphous silicon solar cells which are fabricated by photo-chemical vapor deposition (photo-CVD) system has been investigated. In the photo-CVD system which consists of three separate reaction chambers, low-pressure mercury lamp has been used as a light source. The main reactant ($Si_2H_6/He$) gases which are premixed with a small amount of mercury vapor in a mercury-vaporizer kept at $50^{\circ}C$ have been used. Using $C_2H_2$ and $SiH_2(CH_3)_2$ as the carbon source, p-type wide band gap a-SiC:H films have been obtained. The result has been found that the undoped layers of the pin/substrate solar cells are influenced by the residual impurities, such as phosphorus and boron during the deposition process. By minimizing the effect of the impurities in the i-layer and optimizing conditions at the p-layer and p/i interface, the energy conversion efficiency of 9.61 % under AM-1 ($100mW/Cm^2$) has been achieved for pin/substrate solar cells illuminated through their p-layers, using the three separate reaction chamber apparatus. It is expected that a-SiC:H solar cells with the energy conversion efficiency over 10% have been fabricated by Photo-CVD method.

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Synthesis and Luminescence Characterization of En3+ Doped Gd2O3 Phosphors by Combustion Method

  • Jeong, Young-Ho;Myung, Kwang-Shik;Kim, Jung-Duk;Han, Sang-Do;Park, Jin-Won;Singh, K.C.
    • Transactions on Electrical and Electronic Materials
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    • 제4권5호
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    • pp.28-32
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    • 2003
  • Europium-doped gadolinium oxide ($Gd_2O_3;Eu^{3+}$) phosphors have been prepared by combustion method using urea[H$_2$NCONH$_2$] or carbohydrazide[H$_2$NNHCONHNH$_2$] as fuel materials in a preheated furnace at 500$^{\circ}C$. The phosphors obtained were fired at 1200$^{\circ}C$ for 3 hours to get better luminescent properties. The combustion method used was found to be a simple and fast method for the preparation of fine-sized particles. The influence of the fuel/oxidant (urea or carbohydrazide/nitrate) mole ratio on the phosphor has been investigated and the optimum values for various parameters have been determined. By this method, phosphor that has better brightness and smaller size particles than that obtained by conventional method has been prepared.d has been prepared.

전하 적정법에 의한 $UO_{2+x}$$(Er_{0.06}U_{0.94})O_{2+x}$ 의 Nonstoichiometry (x) 측정 (Measurement of Nonstoichiometry (x) of $UO_{2+x}$ and $(Er_{0.06}U_{0.94})O_{2+x}$ by a Coulometric Titration Method)

  • 강선호;이종호;유한일;김한수;이영우
    • 한국세라믹학회지
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    • 제34권7호
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    • pp.722-730
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    • 1997
  • The nonstoichiometry (x) of UO2+x and (Er0.06U0.94)O2+x has been in-situ measure against oxygen activity (Po2) at elevated temperatures by a coulometric titration method. From the dependence of the oxygen excess (x) of UO2+x on Po2 at 1000℃, it has been concluded that (2Vo2Oia2Oib)〃〃and (2Vo2Oia2Oib)' clusters are prevailing at low oxygen partial pressure [log(Po2/atm) -10.6] and at high oxygen partial pressure [log(Po2/atm) -10.6], respectively. The nonstoichiometry is found to be reduced with the addition of Er, which is ascribed to the fact that the fixed-valent Er3+ reduces the oxidation capacities of UO2+x. The enthalpy of oxygen incorporation in (Er0.06li0.94)O2+x has been evaluated from the mean valences of U-ion as -180±70 kJ/mole.

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Formation Fe2O3 Nanowalls through Solvent-Assisted Hydrothermal Process and Their Application for Titan Yellow GR Dye Degradation

  • Ahmed, Khalid Abdelazez Mohamed
    • 대한화학회지
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    • 제58권2호
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    • pp.205-209
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    • 2014
  • Hematite iron oxide (${\alpha}$-$Fe_2O_3$) nanowalls were fabricated on aluminum substrate by a facile solvent-assisted hydrothermal oxidation process. The XRD and EDS patterns indicate that the sample has a rhombohedral phase of hematite $Fe_2O_3$. FE-SEM, TEM, HR-TEM, SA-ED were employed to characterize the resulting materials. $N_2$ adsorption-desorption isotherms was used to study a BET surface area. Their capability of catalytic degradation of titan yellow GR azo dye with air oxygen in aqueous solution over $Fe_2O_3$ catalysts was studied. The result indicates that the as-prepared product has a high catalytic activity, because it has a larger surface area. Langmuir and Freundlich isotherms of adsorption dye on the catalysts surface were investigated and the decomposition of titan yellow GR follows pseudo-first order kinetic.

2차원 MoS2 물질 기반의 전자소자 연구 (Introduction to research of atomically thin MoS2 and its electrical properties)

  • 이탁희;김태영;조경준;박진수
    • 진공이야기
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    • 제3권1호
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    • pp.9-15
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    • 2016
  • Molybdenum disulfide ($MoS_2$), which has 0.65 nm-thick atomic layer, can be easily separated layer by layer due to weak van der Waals interactions in out-of-plane direction. ($MoS_2$), has a good potential in nanoelectronics, because it has high electrical mobility and On/Off ratio. Its band gap energy changes from indirect to direct band gap energy as it goes from bulk to monolayer. Therefore, atomically thin ($MoS_2$), is widely studied in academic and engineering fields. Here, we introduce the research of atomically thin $MoS_2$ and discuss the research directions.