• 충청수학회지
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• 제33권4호
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• pp.413-427
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• 2020

In this work we study 0-commuting matrix C(0) under relationships with the Pascal matrix C(1). Like kth power C(1)k is an arithmetic matrix of (kx+y)n with yx = xy (k ≥ 1), we express C(0)k as an arithmetic matrix of certain polynomial with yx = 0.

• Kyungpook Mathematical Journal
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• 제19권1호
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• pp.127-134
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• 1979

A (0,1) matrix is acyclic if it does not have a permutation matrix of order 2 as a submatrix. A bipartite tournament is acyclic if and only if its adjacency matrix is acyclic. The concepts of (maximal) order of cyclicity of a matrix and a bipartite tournament are introduced and studied.

• Journal of Radiation Protection and Research
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• 제11권1호
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• pp.3-14
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• 1986

$3'{\times}3'$ 원통형 NaI(T1) 검출기와 다중파고분석기(多重波高分析器)를 사용하여 측정한 $0.05{\sim}2.0MeV$ 구간의 ${\gamma}$선 spectrum에서 실(實)spctrum을 구하기 위하여 조사선량율(照射線量率)산출에 편리한 response matrix 방법을 사용하였다. Response mateix 구성에는, 위의 에네지 구간을 0.1 MeV의 등간격으로 나눈 $20{\times}20$ matrix로 한것과 검출기의 분해능이 입사 ${\gamma}$선 에너지의 평방근(平方根)에 의존한다는 가정하에 $0.1(MeV)^{1/2}$구간으로 나누어 $14{\times}14$ matrix로 구성한, 두가지 방법을 사용하였으며 그 역(逆)matrix들은 P-E 82/32 콤퓨터로 계산하였다. 이 방법으로 얻은 조사선량율은 에너지와 flux가 알려진 ${\gamma}$선량(陽)에 대하여 흔히 사용되는 계산방법으로 구한값과 10% 이내에서 일치하고 있으며, 선량측정학적(線量測定學的) 견지에서는 $E^{1/2}$ 구간으로 형성된 matrix가 등에너지간격으로 구성된 것보다 현실적인 것으로 판단되었다.

• 한국수소및신에너지학회논문집
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• 제8권3호
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• pp.121-129
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• 1997

아크 용해법으로 제작한 $ZrV_{0.1}Mn_{0.7}Ni_{1.2}$ 합금(bulk 합금) 잉고트는 $ZrV_{0.2}Mn_{0.98}Ni_{1.04}$의 조성식을 가지는 fcc 구조의 C15형 Laves상이 주류를 이루는 matrix와 $ZrV_{0.01}Mn_{0.13}Ni_{1.2}$의 조성으로 $Z_9Ni_{11}$의 금속간 화합물 구조를 가지는 2nd phase가 균일하게 분포된 2개의 상으로 구성되어 있었다. $ZrV_{0.1}Mn_{0.7}Ni_{1.2}$ 합금의 방전 특성에 이 두 가지 상들이 미치는 영향을 알아보기 위해서 matrix와 2'nd phase합금을 분리 제작하였고, 이들 전극에 대한 전기 화학적인 충방천 특성들을 조사하였다. 그 결과 방전용량은 2nd phase가 가장 낮은 $160mAh/g$, 그 다음으로 matrix가 200mAh/g으로 bulk의 250mAh/g보다 낮았다. Matrix조성의 합금은 bulk합금과 거의 유사한 활성화, 고율 방전율, 자기방전 특성을 가졌고, 또한 활성화 후에 충방전에 따른 용량감소의 경향이 현저히 관찰되었다. 그러나 2nd phase 조성의 합금은 이들과는 확연한 차이를 보였다. 즉 활성화되기 어렵지만 활성화된 후에 용량감소의 경향은 거의 없었고 또한 자기방전 특성도 우수하였다.

• 충청수학회지
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• 제16권1호
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• pp.25-36
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• 2003

We study the question of whether a partial (0, 1)-normal matrix has a non-symmetric normal completion. Matrix sandwich problems are an important and special case of matrix completion problems. In this paper, we give some properties for the (0, 1)-normal matrices and some large classes that satisfies the normal sandwich completion.

• Journal of Periodontal and Implant Science
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• 제30권3호
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• pp.539-555
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• 2000

Recently, it was reported that enamel matrix derivative may be beneficial in periodontal regeneration procedures in expectation of promoting new bone and cementum formation. The aim of present study was to evaluate the effect of enamel matrix derivative($Emdogain^?$)and Caso4 sulfate paste in 1-wall intrabony defects in beagle dogs. Surgically created 1-wall intrabony defects were randomly assigned to receive root debridement alone or $Emdogain^{(R)}$ or $Emdogain^{(R)}$ and Caso4. Clinical defect size was 4 X 4mm. The control group was treated with root debridement alone,and Experimental group I was treated with enamel matrix derivative application, and Experimental group II was treated with enamel matrix derivative and Caso4 sulfate paste application,. The healing processes were histologically and histometrically observed after 8 weeks and the results were as follows: 1. The length of junctional epithelium was $0.41{\pm}0.01mm$ in the control group, $0.42{\pm}0.08mm$in the experimental group I and $0.50{\pm}0.13mm$in the experimental group II. 2. The connective tissue adhesion was $0.28{\pm}0.02mm$ in the control group, $0.13{\pm}0.08mm$ in the experimental group I and $0.19{\pm}0.02mm$ in the experimental group II. 3. The new cementum formation was $3.80{\pm}0.06mm$ in the control group, $4.12{\pm}0.43mm$ in the experimental group I and $4.34{\pm}0.71mm$ in the experimental group II. 4. The new bone formation was $1.43{\pm}0.03mm$ in the control group, $1.53{\pm}0.47mm$ in the experimental group I and $2.25{\pm}1.35mm$ in the experimental group II. Although there was limitation to present study, the use of enamel matrix derivative in the treatment of periodontal 1-wall intrabony defect enhanced new cementum and bone formation. Caso4 sulfate paste will be the candidate for carriers to deliver enamel matrix derivative, and so enhance the regenerative potency of enamel matrix derivative.

• 한국세라믹학회지
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• 제29권8호
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• pp.587-592
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• 1992

Sheets of SiC-SiC whisker maxed matrix were prepared from the mixed slurry of SiC whisker and SiC matrix by the rolling method. With the increase of SiC whisker, the pore size, the porosity and the phosphoric acid absorbency of the matrix were increased, while the bubble pressure was decreased. The activation energy for the transfer of H+ ion was decreased with the increase of mixing ratio of SiC whisker to the SiC matrix from the measurement of hydrogen ion conductivity. The activation energy was evaluated as 0.25 eV when the mixing ratio of SiC whisker to the SiC matrix was 1 : 2 and the activation energy was 0.16 eV for the 2 : 1 matrix. It means that SiC whisker matrix contributes to attain a better microstructure for the diffusion of hydrogen ion. From the measurement of single cell performance of matrix with various mixing ratio, it is concluded that if SiC-SiC whisker maxed matrix has a sufficient bubble pressure to prevent the crossover of H2 gas, the current density of a fuel cell is increased with the increase of acid absorbency of the matrix. Current density was improved from 140 mA/$\textrm{cm}^2$ for 0.25 mm thickness of matrix to 170 mA/$\textrm{cm}^2$ for the 0.20 mm one at 700 mV.

• East Asian mathematical journal
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• 제35권3호
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• pp.341-349
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• 2019

In this paper, we are concerned with the minimal positive solution to system of the nonlinear matrix equations $A_1X^2+B_1Y +C_1=0$ and $A_2Y^2+B_2X+C_2=0$, where $A_i$ is a positive matrix or a nonnegative irreducible matrix, $C_i$ is a nonnegative matrix and $-B_i$ is a nonsingular M-matrix for i = 1, 2. We apply Newton's method to system and present a modified Newton's iteration which is validated to be efficient in the numerical experiments. We prove that the sequences generated by the modified Newton's iteration converge to the minimal positive solution to system of nonlinear matrix equations.

• Korean Journal of Mathematics
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• 제29권4호
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• pp.665-677
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• 2021

The main object of this study is to introduce the spaces $c_0({\hat{F}^q)$ and $c({\hat{F}^q)$ derived by the matrix ${\hat{F}^q$ which is the multiplication of Riesz matrix and Fibonacci matrix. Moreover, we find the 𝛼-, 𝛽-, 𝛾- duals of these spaces and give the characterization of matrix classes (${\Lambda}({\hat{F}^q)$, Ω) and (Ω, ${\Lambda}({\hat{F}^q)$) for 𝚲 ∈ {c₀, c} and Ω ∈ {ℓ₁, c₀, c, ℓ_∞}.

• 열처리공학회지
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• 제19권1호
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• pp.10-19
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• 2006

Microstructure and morphology of precipitates in $Ni_3Al$- and TiAl-based intermetallics containing carbon have been investigated in terms of transmission electron microscopy(TEM). In an $L1_2$-ordered $Ni_3Al$ alloy with 4 mol.% of chromium and 0.2~3.0 mol.% of carbon, fine octahedral precipitates of $M_{23}C_6$ type carbide were formed in the matrix by aging at temperatures around 973 K after solution annealing at 1423 K. TEM examination revealed that the $M_{23}C_6$ phase and the matrix lattices have a cube-cube orientation relationship and keep partial atomic matching at the {111} interface. After prolonged aging or by aging at higher temperatures, the $M_{23}C_6$ precipitates then adopt a rod-like morphology elongated parallel to the <100> directions. In the $L1_0$-ordered TiAl containing 0.1~2.0 mol.% carbon, TEM observations revealed that needle-like precipitates, which lie only in one direction parallel to the [001] axis of the $L1_0$ matrix, appear in the matrix and preferentially at dislocations. Selected area electron diffraction(SAED) patterns analyses have shown that the needle-shaped precipitate is $Ti_3AlC$ of perovskite type. The orientation relationship between the $Ti_3AlC$ and the $L1_0$ matrix is found to be $(001)_{Ti3AlC}//(001)_{L10\;matrix}$ and $[010]_{Ti3AlC}//[010]_{L10\;matrix}$. By aging at higher temperatures or for longer period at 1073 K, plate-like precipitates of $Ti_2AlC$ with a hexagonal structure are formed on the {111} planes of the $L1_0$ matrix. The orientation relationship between the $Ti_2AlC$ and the $L1_0$ matrix is $(0001)_{Ti2AlC}//(111)_{L10\;matrix}$ and $_{Ti2AlC}//_{L10\;matrix}$.