• Kyungpook Mathematical Journal
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• 제56권3호
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• pp.781-791
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• 2016

Let $d_*(1,w)^2 ={\mathbb{R}}^2$ with the octagonal norm of weight w. It is the two dimensional real predual of Lorentz sequence space. In this paper we classify the smooth points of the unit ball of the space of symmetric bilinear forms on $d_*(1,w)^2$. We also show that the unit sphere of the space of symmetric bilinear forms on $d_*(1,w)^2$ is the disjoint union of the sets of smooth points, extreme points and the set A as follows: $$S_{{\mathcal{L}}_s(^2d_*(1,w)^2)}=smB_{{\mathcal{L}}_s(^2d_*(1,w)^2)}{\bigcup}extB_{{\mathcal{L}}_s(^2d_*(1,w)^2)}{\bigcup}A$$, where the set A consists of $ax_1x_2+by_1y_2+c(x_1y_2+x_2y_1)$ with (a = b = 0, $c={\pm}{\frac{1}{1+w^2}}$), ($a{\neq}b$, $ab{\geq}0$, c = 0), (a = b, 0 < ac, 0 < ${\mid}c{\mid}$ < ${\mid}a{\mid}$), ($a{\neq}{\mid}c{\mid}$, a = -b, 0 < ac, 0 < ${\mid}c{\mid}$), ($a={\frac{1-w}{1+w}}$, b = 0, $c={\frac{1}{1+w}}$), ($a={\frac{1+w+w(w^2-3)c}{1+w^2}}$, $b={\frac{w-1+(1-3w^2)c}{w(1+w^2)}}$, ${\frac{1}{2+2w}}$ < c < ${\frac{1}{(1+w)^2(1-w)}}$, $c{\neq}{\frac{1}{1+2w-w^2}}$), ($a={\frac{1+w(1+w)c}{1+w}}$, $b={\frac{-1+(1+w)c}{w(1+w)}}$, 0 < c < $\frac{1}{2+2w}$) or ($a={\frac{1=w(1+w)c}{1+w}}$, $b={\frac{1-(1+w)c}{1+w}}$, $\frac{1}{1+w}$ < c < $\frac{1}{(1+w)^2(1-w)}$).

• 한국구조물진단유지관리공학회 논문집
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• 제17권5호
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• pp.77-86
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• 2013

본 연구는 물-결합재 비 (W/B)와 잔골재-결합재 비 (F/B)에 따른 알칼리 활성화 슬래그 시멘트 (AASC)의 기초 특성에 관한 연구이다. W/B 비는 0.35, 0.40, 0.45, 그리고 0.50를 선정하였다. 그리고 F/B 비는 1.00에서 3.00까지 0.25 크기로 고려하였다. 알칼리 활성화제는 2M과 4M의 NaOH를 사용하였다. 실험은 플로우, 흡수율, 압축강도, 초음파 속도 그리고 건조수축을 측정하여 비교하였다. 플로우, 압축강도, 흡수율, 초음파 속도 그리고 건조수축 모두 W/B 비가 증가하면 감소하였다. 압축강도는 동일 W/B 비에서 F/B 비가 증가할수록 감소하였다. 또한 특정 F/B 비에서 강도가 증가하는 것을 볼 수 있었다. 그리고 S2 (river sand 2)는 S1 (river sand 1)보다 낮은 물리적 특성을 나타냈는데, 이는 조립률 때문으로 판단된다. 본 실험의 결과 AASC의 공학적 특성은 W/B 비와 F/B 비가 영향을 주는 것으로 판단된다. 최적의 F/B 비는 각 W/B 비에 대해 1.75~2.50 인 것으로 생각된다. 또한 W/(B+F) 비가 0.13과 0.14 사이일 때 AASC 모르타르의 배합설계가 효과적일 것으로 판단된다.

• 임산에너지
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• 제17권1호
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• pp.23-29
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• 1998

중국 백두산 북부지역 소나무천연림을 대상으로 임분의 biomass를 추정하기 위하여 5개 등급 밀도별로 각각 7본씩 표본목을 선정하여 벌도한 후 4개의 상대생장식(W=aDb, W=a(D2H)b, logW=a b·logD＋cD, logW=a＋b·log(D2H)＋c(D2H)을 이용하여 부위별로 biomass 추정식을 유도하였다. 밀도가 다른 임분에서 부위별로 적합한 biomass 추정식 유형이 다르게 나타났는데 줄기, 수피 및 지상부 전체 biomass량을 추정하는 경우, logW=a＋b·log(D2H)＋c(D2H)식이 결정계수는 높고 상대오차 추정치는 낮게 나타나 적합도가 높았다. 가지, 잎 biomass량 및 엽면적의 경우는 logW=a＋b·logD＋cD식이 상관계수가 높고 상대오차 추정치는 낮게 나타나 적합하였다.

• 패션비즈니스
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• 제5권2호
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• pp.67-72
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• 2001

Tencel fabric was treated with cellulase and softener. And then Mechanical properties were investigated. Basic characteristic values of clothing wearing were calculated. With the treatment of cellulase and softener treatment, WT, RT, LC, WC, RC of mechanical characteristics were increased, and G, 2HG, 2HG5, B, 2HB were decreased. B/W, $\sqrt[3]{B/W}$, $\sqrt{2HB/W}$, 2HB/B, W/T of Basic characteristic values of clothing wearing were decreased. WC/W, WC/T were increased, Therefore, drapability, crease resistance, pressing softness, air content were improved. In consideration of mechanical characteristics and basic characteristic values of clothing wearing depending on the softener, values of WT, WC/W, WC/T were bigger with the treatment of epoxy and snow softener than with the treatment of cation and blend softener. LC, WC, RC, B/W, $\sqrt[3]{B/W}$, $\sqrt{2HB/W}$, 2HB/B, W/T were bigger with the treatment of cation and blend softener than with the treatment of epoxy and snow softener. Thereofre, with the treatment of epoxy and snow softener, drapability, crease resistance, air content were improved. With the treatment of cation and blend softener, pressing softness were improved.

• ALGAE
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• 제18권1호
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• pp.13-20
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• 2003

Two isolated Antarctic marine diatoms, Chaetoceros neogracile VanLandingham and Stellarima microtrias (Ehrenberg) Hasle and Sims were examined to show changes of growth and uptake rate of nitrate due to UV-B irradiance. Chlorophyll (chl) a concentration was regarded as the growth index of diatom. The diatoms were treated with UV-B radiation and cultured for 4 days under cool-white fluorescent light without UV-B radiation. Two levels of UV-B exposures were applies: 1 and 6 W $m^{-2}$. Durations of UV-B treatment were 20, 40 and 60 minutes under 6 W $m^{-2}$ and 1, 2, 3, 4 and 5 hrs under 1 W $m^{-2}$. The control groups were cultured at the same time without UV-B radiation. The growth rates of two diatoms decreased under 1 and 6 W $m^{-2}$ UV-B irradiances than that of control group. After 4 days, chl a concentrations of C. neogracile were increased more than 4 times from 133 μgo$l^{-1}$ to 632 μgo$l^{-1}$ in control group. However, the concentration of experimental groups under 1 W $m^{-2}$ UV-B were only increased from 139 μgo$l^{-1}$ to 421 μgo$l^{-1}$ during one hour and the chl a concentrations were decreased from 144 μgo$l^{-1}$ to 108 μgo$l^{-1}$ during five hour. Growth of diatom dramatically more decreased under 6 W $m^{-2}$ UV-B than 1 W $m^{-2}$ UV-B. The chl a concentration of experimental groups under 6 W $m^{-2}$ UV-B for one hour was only increased from 111 μgo$l^{-1}$ to 122 μgo$l^{-1}$. In the case of S. microtrias showed also similar pattern to C. neogracile by UV-B radiation. The uptake rates of nitrate by the two strains were decreased abruptly under 6 W $m^{-2}$ UV-B irradiances. When two strains were treated under 1 and 6 W $m^{-2}$ UV-B during one hour, the strains were only continued growth and uptake of nitrate under 1 W $m^{-2}$ UV-B. This experimental evidence shows that exposure to UV-B radiation especially to high irradiance of UV-B decreases diatom survival and causes lower decrease of nutrient concentrations by microalgae in Antarctic water. Furthermore, evidence suggests that microalgal communities confined to near-surface waters in Antarctica will be harmed by increased UV-B radiation, thereby altering the dynamics of Antarctic marine ecosystems.

• 논리연구
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• 제9권2호
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• pp.1-30
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• 2006

This paper investigates algebraic semantics for some weak Boolean (wB) logics, which may be regarded as left-continuous t-norm based logics (or monoidal t-norm based logics (MTLs)). We investigate as infinite-valued logics each of wB-LC and wB-sKD, and each corresponding first order extension $wB-LC\forall$ and $wB-sKD\forall$. We give algebraic completeness for each of them.

• 미생물학회지
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• 제52권3호
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• pp.254-259
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• 2016

시드로포어인 2, 3-dihydroxybenzoic acid (DHB)를 생산하는 Acinetobacter sp. B-W의 플라스미드를 분석한 결과, 20 kb 크기의 플라스미드를 함유하였다. 배양 온도 $43^{\circ}C$ 가 플라스미드가 제거된 돌연변이체 생산에 효과적이었다. 이 돌연변이체는 2,3-DHB 생산 능력을 소실하였으며, chrome azurol S (CAS) 아가 배지에서 시드로포어 생산이 검출되지 않았다. 포도당과 황산 망간을 함유한 배지에서 $28^{\circ}C$로 3일간 배양한 B-W 원 균주와 돌연변이체의 배양 상등액의 pH는 각각 4.5와 8.5로 나타났다. 돌연변이체에서는 ampicillin, actinomycin D, bacitracin, lincomycin과 vancomycin 같은 항생제에 대한 저항성이 사라졌으며, 이러한 항생제에 대한 최소 억제 농도(MIC)가 급격하게 감소하였다. B-W 균주에서 분리한 플라스미드로 대장균을 형질전환시킨 결과, 원 균주와 같은 크기의 플라스미드가 이 형질전환 대장균에서 발견되었다. 플라스미드가 제거된 돌연변이체에서는 플라스미드가 발견되지 않았다. 20 kb 크기의 플라스미드에 2,3-DHB 생산 유전자와 여러 항생제 저항성 유전자가 자리잡고 있는 것으로 추정된다.

• 충청수학회지
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• 제27권4호
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• pp.697-705
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• 2014

For a complex measure ${\mu}$ on B and $f{\in}L^2_a(B)$, the Toeplitz operator $T_{\mu}$ on $L^2_a(B,dv)$ with symbol ${\mu}$ is formally defined by $T_{\mu}(f)(w)=\int_{B}f(w)\bar{K(z,w)}d{\mu}(w)$. We will investigate properties of the Toeplitz operator $T_{\mu}$ with symbol ${\mu}$. We define the Toeplitz type operator $T^r_{\psi}$ with symbol ${\psi}$, $$T^r_{\psi}f(z)=c_r\int_{B}\frac{(1-{\parallel}w{\parallel}^2)^r}{(1-{\langle}z,w{\rangle})^{n+r+1}}{\psi}(w)f(w)d{\nu}(w)$$. We will also investigate properties of the Toeplitz type operator with symbol ${\psi}$.

• 한국세라믹학회지
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• 제41권5호
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• pp.401-405
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• 2004

순수한 SrB $i_2$T $a_2$$O_{9}$ 세라믹스와 도너와 억셉터가 치환된 S $r_{0.99}$B $i_2$(T $a_{0.99}$ $W_{0.01}$)$_2$$O_{9}$ 와 SrB $i_2$(T $a_{0.99}$ $Ti_{0.01}$)$_2$ $O_{8.99}$ 세라믹스를 제조하고 미세구조, 강유전 P-E 이력특성, 상전이 온도를 조사하였다. 입자크기는 SrB $i_2$T $a_2$$O_{9}$ 세라믹스의 강유전 이력곡선에는 영향을 주지 않았다. 도너를 치환한 S $r_{0.99}$B $i_2$(T $a_{0.99}$ $W_{0.01}$)$_2$$O_{9}$ 세라믹스는 순수한 SrB $i_2$T $a_2$$O_{9}$ 세라믹스보다 잔류 분극이 크고 더욱 포화된 강유전 P-E 이력곡선을 보였으며, 억셉터가 치환된 SrB $i_2$(T $a_{0.99}$ $Ti_{0.01}$)$_2$ $O_{8.99}$ 세라믹스는 잔류분극이 크게 감소하여 가운데가 잘록한 모양을 보였다. 도너가 치환된 S $r_{0.99}$B $i_2$(T $a_{0.99}$ $W_{0.01}$)$_2$$O_{9}$ 세라믹스의 강유전 분극이 순수한 SrB $i_2$T $a_2$$O_{9}$ 세라믹스보다 더 큰 것은 Sr 공공의 생성에 의하여 분역벽 이동이 용이해졌기 때문이다.동이 용이해졌기 때문이다.동이 용이해졌기 때문이다.동이 용이해졌기 때문이다.

• Journal of applied mathematics & informatics
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• 제23권1_2호
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• pp.113-126
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• 2007

Let A and E be $m{\times}n$ matrices and W an $n{\times}m$ matrix, and let $A_{d,w}$ denote the W-weighted Drazin inverse of A. In this paper, a new representation of the W-weighted Drazin inverse of A is given. Some new properties for the W-weighted Drazin inverse $A_{d,w}\;and\;B_{d,w}$ are investigated, where B=A+E. In addition, the Banach-type perturbation theorem for the W-weighted Drazin inverse of A and B are established, and the perturbation bounds for ${\parallel}B_{d,w}{\parallel}\;and\;{\parallel}B_{d,w}-A_{d,w}{\parallel}/{\parallel}A_{d,w}{\parallel}$ are also presented. When A and B are square matrices and W is identity matrix, some known results in the literature related to the Drazin inverse and the group inverse are directly reduced by the results in this paper as special cases.