• Title/Summary/Keyword: pure state

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Diffractive Liquid Crystal Displays

  • Tsvetkov, V.A.
    • Journal of Information Display
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    • v.4 no.1
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    • pp.9-13
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    • 2003
  • An overview of author activity in the area diffractive LCDs are given. The formation of colour spectrum DL CDs is made by switchable phase diffraction gratings created in a LC layer due to using of comb-like electrodes. The offered DLCDs functionate without polarizes, have high contrast and spectral of pure colours, broad viewing ngles. The existing production equipment can be adapted to manufacturing of DLCD without considerable alterations.

Integrated characterization of the corrosion products of Mg alloy (마그네슘 합금 부식 산화물에 대한 특성 연구)

  • Gwon, Sang-Jun;Heo, Jin-Yeong;Lee, Hong-Gi
    • Proceedings of the Korean Institute of Surface Engineering Conference
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    • 2015.05a
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    • pp.179-180
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    • 2015
  • pure Mg and some Mg alloys are relatively rapidly corroded after operation, resulting in the decrease of mechanical strength and change of local ion concentration. In this study, the corrosion mechanism of biodegradable implant materials was investigated by corrosion tests of the Mg alloy in Hank's solution. Particularly, the crystal structures and chemical bonding state of corrosion reactants was systematically examined.

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LORENTZIAN MANIFOLDS: A CHARACTERIZATION WITH SEMICONFORMAL CURVATURE TENSOR

  • De, Uday Chand;Dey, Chiranjib
    • Communications of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.911-920
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    • 2019
  • In this paper we characterize semiconformally flat spacetimes and a spacetime with harmonic semiconformal curvature tensor. At first in a semiconformally flat perfect fluid spacetime we obtain a state equation and prove that in particular for dimension n = 4, the spacetime represents a model for incoherent radiation. Next we prove that perfect fluid spacetime with harmonic semiconformal curvature tensor is of Petrov type I, D or O and the spacetime is a GRW spacetime. As a consequence we obtain several corollaries.

ON THE STABILITY OF RECIPROCAL-NEGATIVE FERMAT'S EQUATION IN QUASI-β-NORMED SPACES

  • Kang, Dongseung;Kim, Hoewoon B.
    • The Pure and Applied Mathematics
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    • v.26 no.2
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    • pp.85-97
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    • 2019
  • In this paper we introduce the reciprocal-negative Fermat's equation induced by the famous equation in the Fermat's Last Theorem, establish the general solution in the simplest cases and the differential solution to the equation, and investigate, then, the generalized Hyers-Ulam stability in a $quasi-{\beta}-normed$ space with both the direct estimation method and the fixed point approach.

ON THE CONSTRUCTION OF MDS SELF-DUAL CODES OVER GALOIS RINGS

  • HAN, SUNGHYU
    • Journal of Applied and Pure Mathematics
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    • v.4 no.3_4
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    • pp.211-219
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    • 2022
  • We study MDS(maximum distance separable) self-dual codes over Galois ring R = GR(2m, r). We prove that there exists an MDS self-dual code over R of length n if (n - 1) divides (2r - 1), and 2m divides n. We also provide the current state of the problem for the existence of MDS self-dual codes over Galois rings.

REFINEMENT OF HERMITE HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS WITH APPLICATIONS

  • Muhammad Bilal;Asif R. Khan
    • The Pure and Applied Mathematics
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    • v.31 no.1
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    • pp.33-48
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    • 2024
  • In this study, we would like to state two refined results related to Hermite Hadamard type inequality for convex functions with two distinct techniques. Hence our obtained results would be better than the results already established for the class of convex functions. Applications to trapezoidal rule and special means are also discussed.

Rigorous dynamic simulation and determination of initial operating conditions for two-bed PSA processes (두 탑 PSA공정의 상세 동적모사 및 초기운전조건 결정)

  • Hwang, Deok-Jae;Moon, Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.1520-1523
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    • 1997
  • A rigorous dynamic simulation was performed in binary gas mixture H$_{2}$/CO (70:30 vol.%) to determinate start-up operating conditions of PSA(Pressure Swing Adsorption) processes. The rigorous dynamic model for the PSA process contains an Ergun equation for expressing the pressure drop in a bed, and valve equations to compute the boundary pressure change of the bed. As the result of the continuous dynamic simulation of 100 operating cyles in various initial conditions, the unsteady-state appeared in the early period and the cyclic steady-state came out about 20th cycle in feed condition and vaccum condition, and 30th cycle in pure H$_{2}$ condition. As time goes by valve equations made change the pressure at each end of the bed in ressurization, countercurrunt-depressurization and pressure equalization steps. The H$_{2}$ purity and the recovery is 99.99% and 86.73% respectively, which is slightly higher than the experimental data. Main contributiion of this study includes supplying fundamental technologies of handling combined variables PSA processes by developing rigorous models.

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A Study of a Hydrophobic Surface: Comparing Pure Water and Contaminated Water

  • Ambrosia, Matthew Stanley;Lee, Chang-Han
    • Journal of Environmental Science International
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    • v.22 no.4
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    • pp.407-413
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    • 2013
  • The flow of sewage has been studied for hundreds of years. Reducing drag in pipes can allow sewer to be removed easily and quickly. Drag reduction is not only a macroscale issue. Physical and chemical properties of the nano-scale can affect flow at the macroscopic scale. In this paper the predictability of hydrophobicity at the nano-scale is studied. Molecular dynamics simulations were used to calculate the range of contact angles of water droplets in equilibrium on a pillared graphite surface. It was found that at a pillar height of two graphite layers there was the largest range of contact angles. It is observed that at this height the droplet begins to transition from the Wenzel state to the Cassie-Baxter state. Surfaces with larger pillar heights have much larger contact angles corresponding to a more hydrophobic surface. Silicon dioxide was also simulated in the water droplet. The contaminant slight decreased the contact angle of the water droplet.

Influence of Dislocation Substructure on Ultrasonic Velocity under Tensile Deformation

  • Kim, C.S.;Lissenden, Cliff J.;Kang, Kae-Myhung;Park, Ik-Keun
    • Journal of the Korean Society for Nondestructive Testing
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    • v.28 no.6
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    • pp.477-482
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    • 2008
  • The influence of dislocation substructure of metallic materials on ultrasonic velocity has been experimentally investigated. The test materials of pure Cu, brass (Cu-35Zn), 2.25Cr-1Mo steel, and AISI 316 with different stacking fault energy (SFE) are plastically deformed in order to generate dislocation substructures. The longitudinal wave velocit $(C_L)$ decreases as a function of tensile strain in each material. The $C_L$ of Cu-35Zn and AISI 316 decreases monotonously with tensile strain, but $C_L$ of Cu and 2.25Cr-1Mo steel shows plateau phenomena due to the stable dislocation substructure. The variation of ultrasonic velocity with the extent of dislocation damping and dislocation substructures is discussed.

Ionization and Attachment Coefficients in Mixtures of $SF_6$ and $N_2$ ($SF_6-N_2$ 혼합기체(混合氣體)의 전리(電離) 및 부착계수(附着係數))

  • Kim, Sang-Nam
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.58 no.1
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    • pp.44-47
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    • 2009
  • This paper describes the information for quantitative simulation of weakly ionized plasma. We must grasp the meaning of the plasma state condition to utilize engineering application and to understand materials of plasma state. $SF_6$ gas is widely used in industrial of insulation field. In this paper, $N_2$ is mixed to improve pure $SF_6$ gas characteristics. Electron transport coefficients in $SF_6-N_2$ mixture gases are simulated in range of E/N values from 70 to 400 [Td] at 300K and 1 Torr by using Boltzmann equation method. The results of this method. which are ionization coefficient, attachment coefficient, effective ionization coefficient, and critical E/N, can be important data to present characteristic of gas for insulation. Specially critical E/N is a data to evaluate insulation strength of a gas and is presented in this paper for various mixture ratios of $SF_6-N_2$ mixture gases.