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        Optical Spectra of the Colloidal Fe-doped Manganate CaMn1−xFexO3 (x = 0, 0.01, 0.03, 0.05)

        Duc Huyen Yen Pham,Duc Tho Nguyen,Duc Thang Pham,Nam Nhat Hoang,The Tan Pham 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.62 No.12

        We report the optical behaviors of the Fe-doped CaMnO3 family of compounds at low dopingconcentrations x 5%. The study aims at assisting the evaluation of the competition between ferroandantiferromagnetic orderings, which is believed to be a cause of many interesting properties of thisclass of compounds, including the magnetization reversal effect recently discovered. The structuralcharacterization showed a predominant orthorhombic phase with slightly increased cell constantsdue to doping. The Raman spectra revealed changes associated with the Mn sites, and the IRabsorption spectrum showed a characteristic Fe band at 1.2 eV, which should be accompanied bya change of spin. The analysis of the magnetization data allowed us to predict that while thedoping reduced the ferromagnetic coupling strength, and therefore the TC, the maximal dopingconcentration for the effective exchange to be zero was around 14%.

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        UNIQUENESS RESULTS ON MEROMORPHIC FUNCTIONS AND THEIR DIFFERENCE OPERATORS SHARING TARGETS WITH WEIGHT

        Thu Thuy Hoang,Hong Nhat Nguyen,Duc Thoan Pham 대한수학회 2023 대한수학회보 Vol.60 No.2

        Let $f$ be a nonconstant meromorphic function of hyper-order strictly less than 1, and let $c\in\mathbb C\setminus\{0\}$ such that $f(z + c) \not\equiv f(z)$. We prove that if $f$ and its exact difference $\Delta_cf(z) = f(z + c) - f(z)$ share partially $0, \infty$ CM and share 1 IM, then $\Delta_cf = f$, where all 1-points with multiplicities more than 2 do not need to be counted. Some similar uniqueness results for such meromorphic functions partially sharing targets with weight and their shifts are also given. Our results generalize and improve the recent important results.

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        A Probabilistic Safety Evaluation Framework for Multi-Hazard Assessment in a Bridge using SO-MARS Learning Model

        Kuo-Wei Liao,Nhat-Duc Hoang,Jessica Gitomarsono 대한토목학회 2018 KSCE Journal of Civil Engineering Vol.22 No.3

        A probabilistic evaluation procedure is established to assess a bridge safety against floods and earthquakes, which are the two major threats of a bridge in Taiwan. Scour depth distribution is used to reflect the flood hazard, in which swarm optimized multivariate adaptive regression splines (SO-MARS) is utilized to calculate scour depth density followed by Monte Carlo Simulation (MCS) and a scour risk curve is constructed. Displacement ductility is used to measure the bridge performance under attacks of both hazards through nonlinear time history analyses followed by a power law regression to build the fragility curve. A code-based probabilistic seismic hazard curve is constructed and the joint failure probability under seismic and flood attacks is obtained. A numerical example is provided to illustrate the proposed methodology, in which the nonlinear behaviors in concrete (including core and cover areas), steel bar and soil are included in a bridge model. A threshold scour depth for a given earthquake (e.g., the return period or the peak ground acceleration is given) is derived to meet a specified target reliability. The suggested scour depth is a deterministic number which is immediately applicable in engineering practice.

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