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Generating Irreducible Self-reciprocal Polynomials by Using Even Polynomial over F<SUB>q</SUB>
Shigeki Kobayashi,Yasuyuki Nogami,Tatsuo Sugimura 대한전자공학회 2008 ITC-CSCC :International Technical Conference on Ci Vol.2008 No.7
This paper proposes a method of generating irreducible self?reciprocal polynomials by using even polynomial over Fq, where q is odd prime. First, we prepare an irreducible self?reciprocal polynomial F(x) in Fq[x] of degree 2m. Then, the proposed method repeatedly generates a lot of irreducible self?reciprocal polynomials of degree 2mby using F(x) as a seed. In this paper, the set of the generated polynomials is called loop. In general, all of them are not in one loop. This paper also shows a method for preparing a seed of another loop.
Effects of Precipitates and Mn Solute Atoms on the Recrystallization Behavior of an Al-Mn Alloy
Lee, Yongchul,Kobayashi, Equo,Sato, Tatsuo Materials Research Society of Korea 2014 한국재료학회지 Vol.24 No.5
In this paper, the effects of precipitates and Mn-solute atoms on the recrystallization behavior of an Al-Mn alloy was studied using micro-Vickers hardness, electrical conductivity measurements and optical microscopy. Various thermo-mechanical processes were designed to investigate the different morphologies, and the solute concentration, of Mn in the matrix. The results indicate that the recrystallization temperature, $T_R$ and time, $t_R$, are influenced by the amount of M-solute atoms in the matrix, and that the recrystallization microstructure is influenced by the amount of precipitates. Recrystallization in the Slow-Cooling specimen was rapid due to its low concentration of Mn-solute atoms, and the crystal-grain size was the smallest due to finely distributed precipitates. However, in the case of the No-Holding specimen, elongated grains were observed at the low annealing temperature and the largest recrystallized grains were observed at the high annealing temperatures (compared with Slow-Cooling and Base specimens) due to the high Mn-solute atoms in the matrix.
Comprehensive analysis of Yukawa hierarchies onT2/ZNwith magnetic fluxes
Fujimoto, Yukihiro,Kobayashi, Tatsuo,Nishiwaki, Kenji,Sakamoto, Makoto,Tatsuta, Yoshiyuki American Physical Society 2016 Physical Review D Vol.94 No.3
<P>Based on the results of the classification by T.-h. Abe et al., Nucl. Phys. B894, 374 (2015)., we exhaustively investigate Yukawa sector of U(8) model on magnetized orbifolds T-2 / Z(2), T-2 / Z(3), T-2 / Z(4) and T-2 / Z(6) by evaluating ratios of the mass eigenvalues of the three states in all the possible configurations with one and two Higgs pairs where three generations are realized in fermions. Because of the smearing effect via kinetic mixing, one can realize a hierarchy such as 10(-2)-10(-3), but it is very difficult to achieve the mass ratio between the up and top quarks (m(up) / m(top) similar to 10(-5)) on the complicated magnetized orbifolds T-2 / Z(N) (N similar to 3,4,6).</P>
Kim, JaeHwang,Hayashi, Minoru,Kobayashi, Equo,Sato, Tatsuo American Scientific Publishers 2016 Journal of nanoscience and nanotechnology Vol.16 No.2
<P>The age-hardening is enhanced with the high cooling rate since more vacancies are formed during quenching, whereas the stable beta phase is formed with the slow cooling rate just after solid solution treatment resulting in lower increase of hardness during aging. Meanwhile, the nanoclusters are formed during natural aging in Al-Mg-Si alloys. The formation of nanoclusters is enhanced with increasing the Si amount. High quench sensitivity based on mechanical property changes was confirmed with increasing the Si amount. Moreover, the nano-size beta '' phase, main hardening phase, is more formed by the Si addition resulting in enhancement of the age-hardening. The quench sensitivity and the formation behavior of precipitates are discussed based on the age-hardening phenomena.</P>
Longitudinal Magnetoresistance of Ce(Cu1−xNix)2Si2
Yoichi Ikeda,Shingo Araki,Tatsuo C. Kobayashi 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.63 No.3
The longitudinal magnetoresistance (LMR) of polycrystalline Ce(Cu1−xNix)2Si2 samples is investigatedbetween T = 2 and 15 K up to H = 80 kOe. The application of magnetic field inducesanomalous temperature dependence of the resistivity with the power index n < 2 for x = 0.12and 0.14, in which ρ(T) obeys a T2-law at H = 0 Oe. A sign-change of the LMR from positive(x < 0.03) to negative (x > 0.03) is observed at 2 K. The negative LMR at 80 kOe is maximized(~ −4 % at T = 2 K) around x ~ 0.10 and subsequently disappears at higher Ni concentrations. Disappearance of the positive LMR in lower x region and the negative LMR at higher Ni concentrationsimplies a collapse of a coherent Kondo lattice state, and a rapid enhancement of Kondotemperature, respectively. Anomalous quantum fluctuations are probably developed around x ~ 0.10.