• 제목/요약/키워드: Lattice inversion

검색결과 13건 처리시간 0.025초

Inversion-like and Major-like Statistics of an Ordered Partition of a Multiset

  • Choi, Seung-Il
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.657-668
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    • 2016
  • Given a partition ${\lambda}=({\lambda}_1,{\lambda}_2,{\ldots},{\lambda}_l)$ of a positive integer n, let Tab(${\lambda}$, k) be the set of all tabloids of shape ${\lambda}$ whose weights range over the set of all k-compositions of n and ${\mathcal{OP}}^k_{\lambda}_{rev}$ the set of all ordered partitions into k blocks of the multiset $\{1^{{\lambda}_l}2^{{\lambda}_{l-1}}{\cdots}l^{{\lambda}_1}\}$. In [2], Butler introduced an inversion-like statistic on Tab(${\lambda}$, k) to show that the rank-selected $M{\ddot{o}}bius$ invariant arising from the subgroup lattice of a finite abelian p-group of type ${\lambda}$ has nonnegative coefficients as a polynomial in p. In this paper, we introduce an inversion-like statistic on the set of ordered partitions of a multiset and construct an inversion-preserving bijection between Tab(${\lambda}$, k) and ${\mathcal{OP}}^k_{\hat{\lambda}}$. When k = 2, we also introduce a major-like statistic on Tab(${\lambda}$, 2) and study its connection to the inversion statistic due to Butler.

Dual basis를 이용한 격자 감소 방식의 다중 입출력 수신기 (Lattice Reduction Aided MIMO Receiver Using Dual Basis)

  • 권동영;송형준;박성수;홍대식
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2008년도 하계종합학술대회
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    • pp.187-188
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    • 2008
  • This paper presents a lattice reduction aided (LRA) MIMO receiver using dual basis. By reducing the basis of channel inversion matrix which directly boosts the noise power, the LRA-MIMO receiver using dual basis has better performance than that using primal basis.

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투과전자현미경을 이용한 GaAs의 면결함 구조 연구 (Transmission Electron Microscopy of GaAs Planar Defects)

  • 조남희;홍국선
    • 분석과학
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    • 제5권1호
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    • pp.121-126
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    • 1992
  • GaAs ${\Sigma}=19$, [110] tilt grain boundary의 구조를 투과전자현미경을 이용하여 연구하였다. Higher-Order Laue-Zone(HOLZ) 빔들과 {200} 빔과의 dynamical coupling 결과를 검토하여 입계 양쪽 각각의 입자(grain) 내 Ga-As의 상대적 위치(방향성)를 결정하였으며, 두 입자 사이에는 inversion symmetry가 결합되지 않은 ${\Sigma}=19$ coincidence에 해당하는 교차각이 있었다. 계면은 $\{331\}_A/\{331\}_B$, [110] 결정면을 따라서 발생하는 경향이 강함을 관측했다. 이 facet에서의 원자구조 및 격자이동 등을 고분해 투과전자현미경을 이용하여 밝혔다. 5-, 7-, 그리고 6-member ring의 조합으로 되어 있는 단위를 계면원자구조 model로 제시했다.

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Detection of Iron Nanoparticles using Nuclear Magnetic Resonance Relaxometry and Inverse Laplace Transform

  • Kim, Seong Min
    • Journal of Biosystems Engineering
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    • 제39권4호
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    • pp.345-351
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    • 2014
  • Purpose: Rapid detection of bacteria is very important in agricultural and food industries to prevent many foodborne illnesses. The objective of this study was to develop a portable nuclear magnetic resonance (NMR)-based system to detect foodborne pathogens (E. coli). This study was focused on developing a method to detect low concentrations of magnetic nanoparticles using NMR techniques. Methods: NMR relaxometry was performed to examine the NMR properties of iron nanoparticle mixtures with different concentrations by using a 1 T permanent magnet magnetic resonance imaging system. Exponential curve fitting (ECF) and inverse Laplace transform (ILT) methods were used to estimate the NMR relaxation time constants, $T_1$ and $T_2$, of guar gum solutions with different iron nanoparticle concentrations (0, $10^{-3}$, $10^{-4}$, $10^{-5}$, $10^{-6}$, and $10^{-7}M$). Results: The ECF and ILT methods did not show much difference in these values. Analysis of the NMR relaxation data showed that the ILT method is comparable to the classical ECF method and is more sensitive to the presence of iron nanoparticles. This study also showed that the spin-spin relaxation time constants acquired by a Carr-Purcell-Meiboom-Gill (CPMG) pulse sequence are more useful for determining the concentration of iron nanoparticle solutions comparwith the spin-lattice relaxation time constants acquired by an inversion recovery pulse sequence. Conclusions: We conclude that NMR relaxometry that utilizes CPMG pulse sequence and ILT analysis is more suitable for detecting foodborne pathogens bound to magnetic nanoparticles in agricultural and food products than using inversion recovery pulse sequence and ECF analysis.

Effect of pH on the Luminescence of $(Y,Gd)BO_3:Eu^{3+}$ Phosphor Prepared by the Coprecipitation Method

  • Lee, Gwan-Hyoung;Kang, Shin-Hoo
    • 한국정보디스플레이학회:학술대회논문집
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    • 한국정보디스플레이학회 2005년도 International Meeting on Information Displayvol.II
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    • pp.1514-1517
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    • 2005
  • The $(Y,Gd)BO_3:Eu^{3+}$ phosphor was made by coprecipitation method. The precipitated powders were amorphous. The value of pH in the process of coprecipitation was critical for the luminescence of phosphors. The particle size and morphology were influenced by pH value. The lower calcination temperature and hydrothermal synthesis leads to the distortion of lattices. The distorted lattices changed the symmetry of $Eu^{3+}$ site. The broken inversion symmetry in the distorted lattice caused the increased emission of $^5D_0{\rightarrow}^7D_2$ transition.

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BiNbO4:RE3+ (RE = Dy, Eu, Sm, Tb) 형광체의 광학 특성 (Photoluminescence Properties of BiNbO4:RE3+ (RE = Dy, Eu, Sm, Tb) Phosphors)

  • 이상운;조신호
    • 한국표면공학회지
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    • 제50권3호
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    • pp.206-211
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    • 2017
  • $BiNbO_4:RE^{3+}$ (RE = Dy, Eu, Sm, Tb) phosphors were prepared by solid-state reaction at $1100^{\circ}C$ and their structural, photoluminescent, and morphological properties were investigated. XRD patterns exhibited that all the synthesized phosphors exhibited a triclinic system with a dominant (210) diffraction peak, irrespective of the type of activator ions. The surface morphologies of rare-earth-ion-doped $BiNbO_4$ phosphors were found to depend strongly on the type of activator ions. The $Eu^{3+}$ and $Dy^{3+}$ doped $BiNbO_4$ phosphors revealed a strong red (613 nm) emission resulting from the $^5D_0{\rightarrow}^7F_2$ transition of $Eu^{3+}$ and a dominant yellow (575 nm) emission originating from the $^4F_{9/2}{\rightarrow}^6H_{13/2}$ transition of $Dy^{3+}$ respectively, which were the electric dipole transitions, indicating that the activator ions occupy sites of non-inversion symmetry in the $BiNbO_4$ phosphor. The main reddish-orange emission spectra of $Sm^{3+}$-doped $BiNbO_4$ phosphors were due to the $^4G_{5/2}{\rightarrow}^6H_{7/2}$ (607 nm) magnetic dipole transition, indicating that the $Sm^{3+}$ ions were located at inversion symmetry sites in the $BiNbO_4$ host lattice. As for $Tb^{3+}$-doped phosphors, green emission was obtained under excitation at 353 nm and its CIE chromaticity coordinates were (0.274, 0.376). These results suggest that multicolor emission can be achieved by changing the type of activator ions incorporated into the $BiNbO_4$ host crystal.

Improvement of carrier transport in silicon MOSFETs by using h-BN decorated dielectric

  • Liu, Xiaochi;Hwang, Euyheon;Yoo, Won Jong
    • 한국표면공학회:학술대회논문집
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    • 한국표면공학회 2013년도 춘계학술대회 논문집
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    • pp.97-97
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    • 2013
  • We present a comprehensive study on the integration of h-BN with silicon MOSFET. Temperature dependent mobility modeling is used to discern the effects of top-gate dielectric on carrier transport and identify limiting factors of the system. The result indicates that coulomb scattering and surface roughness scattering are the dominant scattering mechanisms for silicon MOSFETs at relatively low temperature. Interposing a layer of h-BN between $SiO_2$ and Si effectively weakens coulomb scattering by separating carriers in the silicon inversion layer from the charged centers as 2-dimensional h-BN is relatively inert and is expected to be free of dangling bonds or surface charge traps owing to the strong, in-plane, ionic bonding of the planar hexagonal lattice structure, thus leading to a significant improvement in mobility relative to undecorated system. Furthermore, the atomically planar surface of h-BN also suppresses surface roughness scattering in this Si MOSFET system, resulting in a monotonously increasing mobility curve along with gate voltage, which is different from the traditional one with a extremum in a certain voltage. Alternatively, high-k dielectrics can lead to enhanced transport properties through dielectric screening. Modeling indicates that we can achieve even higher mobility by using h-BN decorated $HfO_2$ as gate dielectric in silicon MOSFETs instead of h-BN decorated $SiO_2$.

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도자기 유약용 Wagnerite의 합성(I) (Synthesis of wagnerite and its analogues for ceramic pigments (I))

  • Chung, Yong-Sun;Auh, Keun-Ho
    • 한국결정성장학회지
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    • 제7권4호
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    • pp.640-647
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    • 1997
  • 백금밀폐용기를 사용하여 wagnerite($Mg_2PO_4F)$를 합성하는데 성공하였으며, 유약용안료로 사용하기에 적합한 발색을 위해 $Co^{++}, Ni^{++}, Cu^{++} $등을 첨가하여 wagnerite의 Mg와 금속이온간의 전 성분구간에 걸쳐 고용체(solid solution)을 합성하였다. wagnerite는 용융점($1340^{\circ}C$)에 도달할 때까지 안정하여서 열분해되지 않았으며, 용융전에 오직 한 번의 가역적인 상전이가 $1255^{\circ}C$에서 일어남을 관찰하였다. wagnerite의 격자상수는 금속이온의 첨가량에 비례하여 직선적으로 변화하였는데 $Co^{++}$$Zn^{++}$ 첨가시는 증가하였으며, $Ni^{++}$$Cu^{++}$를 첨가한 경우에는 감소하였다. 또한 금속이온 첨가시, $Co^{++}$는 자주색, $Ni^{++}$는 노란색, $Cu^{++}$는 녹색을 발현시켰으며 이들의 색조는 첨가량이 증가할수록 밝고 진하여져서 유약 및 플라스틱을 착색하기에 적합한 색상을 나타내었다.

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적색 형광체 Gd1-xAl3(BO3)4:Eux3+의 합성과 발광 특성 (Synthesis and Photoluminescence Properties of Red Phosphors Gd1-xAl3(BO3)4:Eux3+)

  • 조신호;조선욱
    • 한국재료학회지
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    • 제22권3호
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    • pp.145-149
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    • 2012
  • Red phosphors of $Gd_{1-x}Al_3(BO_3)_4:{Eu_x}^{3+}$ were synthesized by using the solid-state reaction method. The phase structure and morphology of the phosphors were measured using X-ray diffraction (XRD) and field emission-scanning electron microscopy (FE-SEM), respectively. The optical properties of $GdAl_3(BO_3)_4:Eu^{3+}$ phosphors with concentrations of $Eu^{3+}$ ions of 0, 0.05, 0.10, 0.15, and 0.20 mol were investigated at room temperature. The crystals were hexagonal with a rhombohedral lattice. The excitation spectra of all the phosphors, irrespective of the $Eu^{3+}$ concentrations, were composed of a broad band centered at 265 nm and a narrow band having peak at 274 nm. As for the emission spectra, the peak wavelength was 613 nm under a 274 nm ultraviolet excitation. The intensity ratio of the red emission transition ($^5D_0{\rightarrow}^7F_2$) to orange ($^5D_0{\rightarrow}^7F_1$) shows that the $Eu^{3+}$ ions occupy sites of no inversion symmetry in the host. In conclusion, the optimum doping concentration of $Eu^{3+}$ ions for preparing $GdAl_3(BO_3)_4:Eu^{3+}$ phosphors was found to be 0.15 mol.