• Title/Summary/Keyword: $2{\times}2$ Matrix

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Technology of Organic Thin-Film Transistors for Active-Matrix Display

  • Lee, Cheng-Chung
    • 한국정보디스플레이학회:학술대회논문집
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    • 2004.08a
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    • pp.877-880
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    • 2004
  • A method of improving device performance of OTFT was investigated. The mobility of device is more than 0.51 $cm^2$/Vs and $I_{on}/I_{off}$ is higher than $10^6$. An Active-matrix LCD driven by OTFT was fabricated. The resolution of this panel is 64 ${\times}$ 128 pixels and the pixel size is 550 ${\mu}m$ ${\times}$ 550 ${\mu}m$.

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THE GENERAL LINEAR GROUP OVER A RING

  • Han, Jun-Cheol
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.619-626
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    • 2006
  • Let m be any positive integer, R be a ring with identity, $M_m(R)$ be the matrix ring of all m by m matrices eve. R and $G_m(R)$ be the multiplicative group of all n by n nonsingular matrices in $M_m(R)$. In this pape., the following are investigated: (1) for any pairwise coprime ideals ${I_1,\;I_2,\;...,\;I_n}$ in a ring R, $M_m(R/(I_1{\cap}I_2{\cap}...{\cap}I_n))$ is isomorphic to $M_m(R/I_1){\times}M_m(R/I_2){\times}...{\times}M_m(R/I_n);$ and $G_m(R/I_1){\cap}I_2{\cap}...{\cap}I_n))$ is isomorphic to $G_m(R/I_1){\times}G_m(R/I_2){\times}...{\times}G_m(R/I_n);$ (2) In particular, if R is a finite ring with identity, then the order of $G_m(R)$ can be computed.

Jacket Matrix in Hyperbola (쌍곡선에서의 재킷 행렬)

  • Yang, Jae-Seung;Park, Ju-Yong;Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.15 no.3
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    • pp.15-24
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    • 2015
  • Jacket matrices which are defined to be $m{\times}m$ matrices $J^{\dagger}=[J_{ik}^{-1}]^T$ over a Galois field F with the property $JJ^{\dagger}=mI_m$, $J^{\dagger}$ is the transpose matrix of element-wise inverse of J, i.e., $J^{\dagger}=[J_{ik}^{-1}]^T$, were introduced by Lee in 1984 and are used for Digital Signal Processing and Coding theory. This paper presents some square matrices $A_2$ which can be eigenvalue decomposed by Jacket matrices. Specially, $A_2$ and its extension $A_3$ can be used for modifying the properties of hyperbola and hyperboloid, respectively. Specially, when the hyperbola has n times transformation, the final matrices $A_2^n$ can be easily calculated by employing the EVD[7] of matrices $A_2$. The ideas that we will develop here have applications in computer graphics and used in many important numerical algorithms.

Spectrophotometric Determination of Trace Amount of Sulfide by Formation of Iodide and Its Solvent Extraction with Mehtylene Green (요오드이온 생성 및 Methylene Green과의 용매추출에 의한 미량 황이온의 분광광도법 정량)

  • Kam, Sang-Kyu;Kim, Kyung-Youn
    • Analytical Science and Technology
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    • v.7 no.3
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    • pp.261-269
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    • 1994
  • The iodide formed stoichiometrically for sulfide by its oxidation with iodate was extracted as an ion-pair with methylene green into 1,2-dichloroethane and the extract was measured spectrophotometrically at 656nm for the determination of sulfide. Hydrogen sulfide separated from the sample matrix was introduced into a solution containing pH 3.5 acetate buffer and iodate, in which the hydrogen sulfide was completely converted into iodide. A linear calibration graph was obtained over the range $3{\times}10^{-7}{\sim}1.2{\times}10^{-5}M$ sulfide($0.0096{\sim}0.384{\mu}g$ of $S^{2-}/ml$) and the detection limit was $0.0032{\mu}g/ml$. The apparent molar absorptivity and a correlation coefficient(r) were $6.7{\times}10^4L\;mole^{-1}\;cm^{-1}$ and 0.999, respectively. When applied to the stream water samples, the proposed method gave a relative standard deviation of 1.59% at $5{\times}10^{-6}M$ sulfide level.

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Efficient Implementation of a Pseudorandom Sequence Generator for High-Speed Data Communications

  • Hwang, Soo-Yun;Park, Gi-Yoon;Kim, Dae-Ho;Jhang, Kyoung-Son
    • ETRI Journal
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    • v.32 no.2
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    • pp.222-229
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    • 2010
  • A conventional pseudorandom sequence generator creates only 1 bit of data per clock cycle. Therefore, it may cause a delay in data communications. In this paper, we propose an efficient implementation method for a pseudorandom sequence generator with parallel outputs. By virtue of the simple matrix multiplications, we derive a well-organized recursive formula and realize a pseudorandom sequence generator with multiple outputs. Experimental results show that, although the total area of the proposed scheme is 3% to 13% larger than that of the existing scheme, our parallel architecture improves the throughput by 2, 4, and 6 times compared with the existing scheme based on a single output. In addition, we apply our approach to a $2{\times}2$ multiple input/multiple output (MIMO) detector targeting the 3rd Generation Partnership Project Long Term Evolution (3GPP LTE) system. Therefore, the throughput of the MIMO detector is significantly enhanced by parallel processing of data communications.

Polymeric Gel Electrolytes for Electric Double Layer Capacitors (전기이중층 캐패시터에 관한 폴리머 겔 전해액)

  • Morita, Masayuki;Qiao, Jin-Li
    • Journal of the Korean Electrochemical Society
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    • v.6 no.2
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    • pp.141-144
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    • 2003
  • Proton conducting polymeric gels as the electrolytes of electrochemical capacitors have been prepared by two different methods: 1) swelling a polymethacrylate-based polymer matrix in aqueous solutions of inorganic and organic acids, and 2) polymerizing complexes of anhydrous acids and prepolymers with organic plasticizer. The FT-IR spectra strongly suggest that the carbonyl groups in the polymer matrix interact with protons from the doped acids. High ionic (proton) conductivity in the range of $6\times10^{-4}-4\times10^{-2}\;S\;cm^{-1}$ was obtained at room temperature for the aqueous gels. The non-aqueous polymer complexes showed rather low ionic conductivity, but it was about $10^{-3}\;S\;cm^{-1}\;at\;70^{\circ}C$ for the $H_3PO_4$ doped polymer electrolyte. The mechanisms of ion (proton) conduction in the polymeric systems are discussed.

2.2 inch QCIF+ Active-Matrix Organic Light-Emitting Diode Display With High Performance and Mass Productive Ability

  • Tsai, Cheng-Hung;Chiu, Chen-Lun;Chen, Cheng-Ming;Shih, I-Cheng;Tang, Shun-Jyun;Huang, Chun-Yao
    • 한국정보디스플레이학회:학술대회논문집
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    • 2005.07a
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    • pp.799-802
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    • 2005
  • This paper described a 2.2" $QCIF^+$ ($176{\times}RGB{\times}220$) active matrix organic light-emitting diode display (AMOLED) using low-temperature poly-silicon (LTPS) technology. We have designed the OLED pixel to match the OLED material characteristic with COG specification and optimized pixel structure to improve color gamma adjustment and simplify signal complexity.

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A Study on Dot-Matrix Display using Powder Electroluminescent Device with High Brightness (고휘도 후막 전계발광소자을 이용한 Dot-Matrix Display에 대한 연구)

  • Lee, Jong-Chan;Park, Dae-Hee
    • Proceedings of the KIEE Conference
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    • 1998.07d
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    • pp.1255-1257
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    • 1998
  • In this study,$ 5{\times}5$ dot-matrix display was implemented with powder electroluminescent device (PELD). Generally PELD which have a luminance from powder phosphor with electric field, inserted phosphor and dielectric layer between electrodes is basic structure. To make high brightness PELD compared to conventional device, new type of PELD was proposed as follows. New PELD had only one layer, which was mixed phosphor (ZnS:Cu) and dielectric (BaTiO3) material appropriately between electrodes. To compare and estimate the conventional and new type of PELD, the EL spectrum, transferred charge density, brightness and decay time was measured. As above result, we fabricated a hish brightness $ 5{\times}5$ dot-matrix display with new type of PELD. Its brightness was 6400 $cd/m^2$ at 200 V, 400Hz.

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CERTAIN DISCRIMINATIONS OF PRIME ENDOMORPHISM AND PRIME MATRIX

  • Bae, Soon-Sook
    • East Asian mathematical journal
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    • v.14 no.2
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    • pp.259-268
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    • 1998
  • In this paper, for a commutative ring R with an identity, considering the endomorphism ring $End_R$(M) of left R-module $_RM$ which is (quasi-)injective or (quasi-)projective, some discriminations of prime endomorphism were found as follows: each epimorphism with the irreducible(or simple) kernel on a (quasi-)injective module and each monomorphism with maximal image on a (quasi-)projective module are prime. It was shown that for a field F, any given square matrix in $Mat_{n{\times}n}$(F) with maximal image and irreducible kernel is a prime matrix, furthermore, any given matrix in $Mat_{n{\times}n}$(F) for any field F can be factored into a product of prime matrices.

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PERMANENTS OF DOUBLY STOCHASTIC KITE MATRICES

  • Hwang, Suk-Geun;Lee, Jae-Don;Park, Hong-Sun
    • Journal of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.423-432
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    • 1998
  • Let p, q be integers such that 2 $\leq$ p, q $\leq$ n, and let $D_{p, q}$ denote the matrix obtained from $I_{n}$, the identity matrix of order n, by replacing each of the first p columns by an all 1's vector and by replacing each of the first two rows and each of the last q-2 rows by an all 1's vector. In this paper the permanent minimization problem over the face, determined by the matrix $D_{p, q}$, of the polytope of all n $\times$ n doubly stochastic matrices is treated.d.

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