• Journal of the Korean Mathematical Society
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• v.43 no.2
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• pp.271-281
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• 2006

The commutative products of the distributions $x^r\;ln^p\;{\mid}x{\mid}\;and\;x^{-r-1}ln^q\;{\mid}x{\mid}$ and of sgn x $x^r\;ln^p\;{\mid}x{\mid}\;and\;sgn\;x\;x^{-r-1}ln^q\;{\mid}x{\mid}$ are evaluated for $r=0,\;\pm1,\;\pm2,...\;and\;p,\;q=0,1,2,....$

• Bulletin of the Korean Mathematical Society
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• v.57 no.4
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• pp.865-872
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• 2020

Let X ⊂ ℙ^r be an integral and non-degenerate variety. Set n := dim(X). Let 𝜌(X)" be the maximal integer such that every zero-dimensional scheme Z ⊂ X smoothable in X is linearly independent. We prove that X is linearly normal if 𝜌(X)" ≥ 2⌈(r + 2)/2⌉ and that 𝜌(X)" < 2⌈(r + 1)/(n + 1)⌉, unless either n = r or X is a rational normal curve.

• Communications of the Korean Mathematical Society
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• v.34 no.2
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• pp.465-475
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• 2019

Let X be a Banach space and $X^*$ be its dual. In this paper, we give relationships among some parameters in $X^*$: ${\varepsilon}$-nonsquareness parameter, $J({\varepsilon},X^*)$; ${\varepsilon}$-boundary parameter, $Q({\varepsilon},X^*)$; the modulus of smoothness, ${\rho}_{X^*}({\varepsilon})$; and ${\varepsilon}$-Pythagorean parameter, $E({\varepsilon},X^*)$, and weak orthogonality parameter, ${\omega}(X)$ in X that imply uniform norm structure in X. Some existing results are extended or approved.

• Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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• 1996.11a
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• pp.5-9
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• 1996

As optical massmemories, (Se, S)-based chalcogenide amorphous films are used for a holographic supermicrofiche by using the refractive-index change. In 1000$\AA$thick-As$_{40}$ Ge$_{10}$Se$_{100-x}$S$_{x}$(x=0.25, 35at.%), the amount of refractive index change $\Delta$n reaches 0.01~0.53 at 6328, 7800$\AA$ by exposing for 15minutes plue-pass filtered mercury lamp(~4300$\AA$) and annealing 20$0^{\circ}C$. And in initially annealed As$_{40}$ Ge$_{10}$Se$_{15}$ S$_{35}$, photodarkening(PD) and thermalbleaching(TB) was founded.ded.B) was founded.d.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.30 no.10
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• pp.631-636
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• 2017

The degradation mechanism of $Mo_xW_{1-x}Si_2$ ultrahigh-temperature heating elements fabricated by self-propagating high-temperature synthesiswas investigated. The $Mo_xW_{1-x}Si_2$ specimens (with and without post-annealing) were subjected to ADTs (accelerated degradation tests) at temperatures up to $1,700^{\circ}C$ at heating rates of 3, 4, 5, 7, and $14^{\circ}C/min$. The surface loads of all the specimen heaters were increased with the increase in the target temperature. For the $Mo_xW_{1-x}Si_2$ specimens without annealing, many pores and secondary-phase particles were observed in the microstructure; the surface load increased to $23.9W/cm^2$ at $1,700^{\circ}C$, while the bending strength drastically reduced to 242 MPa. In contrast, the $Mo_xW_{1-x}Si_2$ specimens after post-annealing retained $single-Mo_xW_{1-x}Si_2$ phases and showed superior durability after the ADT. Consequently, it is thought that the formation of microcracks and coarse secondary phases during the ADT are the main causes for the degraded performance of the $Mo_xW_{1-x}Si_2$ heating elements without post-annealing.

• Journal of Magnetics
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• v.13 no.1
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• pp.23-29
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• 2008

The magnetic and other physical characteristics of $Mn_xSi_{1-x}Te$ have been investigated by electron magnetic resonance (EMR), X-ray diffraction (XRD) and other experiments. $Mn_xSi_{1-x}Te$ is found to have corundum structure for manganese contents up to 10% and also to be ferromagnetic for temperatures below 80 K. While ferromagnetic resonance signal coexists with the usual paramagnetic resonance signal, invariance of the g-factor inferred from the electron paramagnetic resonance signals throughout all temperature ranges clearly confirms that the manganese ions are in the electronic 3d5 state. The temperature dependence of EMR line-width is the same as other diluted magnetic semiconductors. From the EMR signals relaxation times $T_2$ and $T_1$ of $Mn_xSi_{1-x}Te$ compounds are estimated to be about $4.4{\times}10^{-10}s$ and $9.3{\times}10^{-8}s$ respectively and are found to vary slightly with temperature or composition change. Exchange narrowing of the EMR line-width becomes dominant for the sample in which the substitution ratio, x = 30%. For one sample, in which x = 0.5%, spin glass-like behavior is indicated by EMR signals for temperatures lower than 60 K. This behavior may authentic for samples within a certain range of x.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.17 no.3
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• pp.1-7
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• 2017

This paper proposes a discrete logarithm algorithm that largely reduces execution times of Pollard's Rho and Brent's algorithm in obtaining ${\gamma}$ from ${\alpha}^{\gamma}{\equiv}{\beta}$(mod p). The proposed algorithm can be distinguished from the conventional Brent's algorithm by three major features: it sets an initial value as $x_0={\alpha}{\beta}$ in lieu of $x_0=1$; replaces $y=x_i$, ($i=2^k$) pointer with $y_j{\leftarrow}x_i$, ($i=2^k$, $1{\leq}j{\leq}10$) for a Queue the size 10; and detects collision of ${\beta}_{\gamma}$, ${\beta}_{{\gamma}^{\prime}}$, ${\beta}_{{\gamma}^{-1}}$ instead of ${\beta}_{\gamma}$. This Queue method has reduced the execution time of Pollard's Rho algorithm with $x_0=y_0=1$ by 65.02%, and that of Brent's algorithm with $x_0=1$ by 47.80%.

• Korean Journal of Materials Research
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• v.4 no.1
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• pp.55-62
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• 1994

Co(A $I_{1- X}$C $u_{X}$ ) (0$\leq$0.40)합금계의 결정구조 및 자기적 특성을 X-선 회절분석기, 주사전자현미경 그리고 진동 시료형 자력계를 이용하여 조사하였다. X-선 결정구조 및 상분석 결과, 전조성 범위에서 주상은 격자상수가 약 2.86$\AA$인 규칙화한 B2(CsCI)구조를 가지고 있었으며, x $\geq$0.10범위에서는Cu함량이 많은 제 2상이 존재하였고 격자상수가 약 3.63$\AA$인 FCC 구조이었다. 자화측정결과 x $\geq$0.25범위에서는 강자성, x$\leq$0.10에서는 상자성 그리고 x=0.15, 0.20에서는 초상자성의 특성을 나타내었다. Cu함량(x)이 증가함에 따라 자화값은 증가하는 현상을 보여주었다. 본 합금계의 측정한 분자당 스핀자기 모멘트 값은 국부환경모델을 이용하여 각 조성에서 계산된 Co원소에 대한 스핀자기 모멘트 값과 잘 일치함을 보여주었다.다.

• Journal of Sensor Science and Technology
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• v.1 no.1
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• pp.53-57
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• 1992

We report the crystal growth and the electro-optic characteristics of $CdS_{1-x}Se_{x}$ thin films. $CdS_{1-x}Se_{x}$ thin films wire deposited on the alumina plate by electron beam evaporation technique in pressure of $1.5{\times}10^{-7}$ torr, voltage of 4kV, current of 2.5mA and substrate temperature of $300^{\circ}C$. The deposited $CdS_{1-x}Se_{x}$ thin films were proved to be a polycrystal with hexagonal structure through X-ray diffraction patterns. $CdS_{1-x}Se_{x}$ photoconductive films showed high photoconductivity after annealing at $550^{\circ}C$ for 30 minutes. And the films have been investigated the Hall effect, photocurrent spectra, sensitivity, maximum allowable power dissipation and response time.

• Progress in Medical Physics
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• v.10 no.1
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• pp.55-62
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• 1999

In an effort to study the characteristics of x-rays utilized in radiation therapy, we calculated the energy distribution and the mean energy of x-rays generated from a tungsten target bombarded by 6, 10, and 15 MeV electron beams, using a Monte Carlo technique. The average photon energies calculated as a function of the beam radius lied in 1.4 ∼ 1.6, 2.1 ∼ 2.5 and 2.8 ∼ 3.3 MeV ranges for 4, 10, and 15 MV electron beams, respectively, which turned out to have no strong dependence on the radius. Using the energy distributions of 6,10, and 15 MV x-rays obtained for the target distance of 100 cm, percentage depth doses were determined using Monte Carlo calculations. For the case 10 MV, a comparison was made between our calculation and measurement performed by others. The calculated percentage depth dose appeared somewhat smaller than the measured one except in the surface region. We conclude that this is due to the fact that the beam hardening effect resulting from the flattening filter was not properly allowed for in our Monte Carlo calculations.