• Title/Summary/Keyword: M.T.T.F

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ADDITIVE OPERATORS PRESERVING RANK-ADDITIVITY ON SYMMETRY MATRIX SPACES

  • Tang, Xiao-Min;Cao, Chong-Guang
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.115-122
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    • 2004
  • We characterize the additive operators preserving rank-additivity on symmetry matrix spaces. Let $S_{n}(F)$ be the space of all $n\;\times\;n$ symmetry matrices over a field F with 2, $3\;\in\;F^{*}$, then T is an additive injective operator preserving rank-additivity on $S_{n}(F)$ if and only if there exists an invertible matrix $U\;\in\;M_n(F)$ and an injective field homomorphism $\phi$ of F to itself such that $T(X)\;=\;cUX{\phi}U^{T},\;\forallX\;=\;(x_{ij)\;\in\;S_n(F)$ where $c\;\in;F^{*},\;X^{\phi}\;=\;(\phi(x_{ij}))$. As applications, we determine the additive operators preserving minus-order on $S_{n}(F)$ over the field F.

Magnetoresistance of IrMn-Based Spin Filter Specular Spin Valves (IrMn 스핀필터 스페큘라 스핀밸브의 자기저항 특성)

  • Hwang, J.Y.;Rhee, J.R.
    • Journal of the Korean Magnetics Society
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    • v.14 no.6
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    • pp.236-239
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    • 2004
  • We studied the specular spin valve (SSV) having the spin filter layer (SFL) in contact with the ultrathin free layer composed of Ta3/NiFe2/IrMn7/CoFel/(NOLl)/CoFe2/Cu1.8/CoFe( $t_{F}$)/Cu( $t_{SF}$ )/(NOL2)/Ta3.5 (in nm) by the magnetron sputtering system. For this antiferromagnetic I $r_{22}$M $n_{78}$-pinned spin filter specular spin valve (SFSSV) films, an optimal magnetoresistance (MR) ratio of 11.9% was obtained when both the free layer thickness ( $t_{F}$) and the SFL thickness ( $t_{SF}$ ) were 1.5 nm, and the MR ratio higher than 11% was maintained even when the $t_{F}$ was reduced to 1.0 nm. It was due to increase of specular electron by the nano-oxide layer (NOL) and of current shunting through the SFL. Moreover, the interlayer coupling field ( $H_{int}$) between free layer and pinned layer could be explained by considering the RKKY and magnetostatic coupling. The coercivity of the free layer ( $H_{cf}$ ) was significantly reduced as compared to the traditional spin valve (TSV), and was remained as low as 4 Oe when the $t_{F}$ varied from 1 nm to 4 urn. It was found that the SFL made it possible to reduce the free layer thickness and enhance the MR ratio without degrading the soft magnetic property of the free layer.

POSITIVE SOLUTIONS OF NONLINEAR m-POINT BVP FOR AN INCREASING HOMEOMORPHISM AND POSITIVE HOMOMORPHISM ON TIME SCALES

  • Han, Wei;Jin, Zhen;Zhang, Guang
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1171-1184
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    • 2010
  • In this paper, by using fixed point theorems in cones, the existence of positive solutions is considered for nonlinear m-point boundary value problem for the following second-order dynamic equations on time scales $({\phi}(u^{\Delta}))^{\nabla}+a(t)f(t,\;u(t))=0$, t $\in$ (0, T), $u(0)=\sum\limits^{m-2}_{i=1}a_iu(\xi_i)$, $\phi(u^{\Delta}(T))=\sum\limits^{m-2}_{i=1}b_i{\phi}(u^{\Delta}(\xi_i))$, where $\phi$ : R $\rightarrow$ R is an increasing homeomorphism and positive homomorphism and ${\phi}(0)=0$. In [27], we obtained the existence results of the above problem for an increasing homeomorphism and positive homomorphism with sign changing nonlinearity. The purpose of this paper is to supplement with a result in the case when the nonlinear term f is nonnegative, and the most point we must point out for readers is that there is only the p-Laplacian case for increasing homeomorphism and positive homomorphism due to the sign restriction. As an application, one example to demonstrate our results are given.

Diagnostic Role of Serum Free-to-Total Prostate Specific Antigen (PSA) Ratio in Prostate Cancer with Serum Total Concentration of PSA below 4 ng/mL

  • Chang, Chih-Chun;Lee, Yi-Chen;Tsai, Huang-Wen;Yii, Shyi-Chun;Yen, Tzung-Hai;Chu, Fang-Yeh
    • Asian Pacific Journal of Cancer Prevention
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    • v.16 no.13
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    • pp.5261-5264
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    • 2015
  • Purpose: To examine the effectiveness of serum free-to-total prostate specific antigen ratio (%fPSA) for the detection of prostate cancer (PCa) in men with different serum total PSA (tPSA) categories. Materials and Methods: From January 2010 to December 2013, a total of 225 patients with lower urinary tract symptoms (LUTS) underwent tPSA and %fPSA measurements. Histological examination with calculation of Gleason score and whole body bone scans were performed in identified cases of PCa. Results: PCa was diagnosed in 44 (19.6%) patients and the remaining 181 patients had benign prostate disease. PCa was detected in 5 (23.8%), 13 (8.7%) and 26 (47.3%) cases with tPSA level ranges ${\leq}4ng/ml$, 4 to 10 ng/ml and >10 ng/ml, respectively. The average Gleason score was $7.2{\pm}0.2$. Some 6 (13.6%) out of 44 PCa patients had bone metastases. The sensitivity was 80% and specificity was 81.3% at the cut-off %fPSA of 15% in PCa patients with a tPSA level below 4 ng/mL. A lower %fPSA was associated with PCa patients with Gleason score ${\geq}7$ than those with Gleason score ${\leq}6$ ($11.7{\pm}0.98$ vs. $16.5{\pm}2.25%$, P=0.029). No obvious relation of %fPSA to the incidence of bone metastasis was apparent in this study. Conclusions: The clinical application of %fPSA could help to discriminate PCa from benign prostate disease in men with a tPSA concentration below 4 ng/mL.

Mass Interception Fractions and Weathering Half-lives of Iodine-131 and Radiocesium in Leafy Vegetables Observed after the Fukushima Daiichi Nuclear Power Plant Accident

  • Tagami, Keiko;Uchida, Shigeo
    • Journal of Radiation Protection and Research
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    • v.46 no.4
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    • pp.178-183
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    • 2021
  • Background: This study was carried out to provide environmental transfer parameter values to estimate activity concentrations of these radionuclides in agricultural crops when direct contamination occurred. Materials and Methods: Mass interception fractions (FBs) and weathering half-lives (Tws) of 131I and radiocesium were calculated using openly available monitoring data obtained after the Fukushima Daiichi Nuclear Power Plant accident. FB is the ratio between the initial radioactivity concentration of a radionuclide retained by the edible part of the plant (Bq·kg-1 fresh weight [FW]) and the amount of deposited radionuclide in that area (Bq·m-2). Tw values can be calculated using activity concentrations of crops decreased with time after the initial contamination. Results and Discussion: Calculated FB and Tw values for 131I and radiocesium were mostly obtained for leafy vegetables. The analytical results showed that there was no difference of FBs between 131I and radiocesium by t-test; geometric mean values for leafy vegetables cultivated under outdoor conditions were 0.058 and 0.12 m2·kg-1 FW, respectively. Geometric mean Tw value of 131I in leafy vegetables grown under outdoor conditions was 8.6 days, and that of radiocesium was 6.6 days; there was no significant difference between Tw values of these radionuclides by Wilcoxon rank sum test. Conclusion: There was no difference between 131I and radiocesium for FBs and Tws. By using these factors, we would be able to carry out a rough estimation of the activity concentrations of 131I and radiocesium in the edible part of leafy crops when a nuclear accident occurred.

Antiobesity Effect of the Bacillus subtilis KC-3 Fermented Soymilk in 3T3-L1 Adipocytes (3T3-L1 지방세포에서 Bacillus subtilis KC-3 발효두유의 항비만 효과)

  • Kim, Ji-Young;Jeong, Jung-Eun;Moon, Suk-Hee;Park, Kun-Young
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.39 no.8
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    • pp.1126-1131
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    • 2010
  • The antiobesity effect of soymilks fermented with Bacillus subtilis KC-3 (KCCM 42923) from cheonggukjang was compared with other sources of B. subtilis KCCM 11316 and B. subtilis MYCO. The antiobesity effect was investigated by measuring the release of leptin, Oil red O staining, glycerol secretions and adipogenic transcription factor by reverse transcription-polymerase chain reaction (RT-PCR) in the 3T3-L1 adipocytes. Fermented soymilk with B. subtilis KC-3 (F-KC) led to decrease levels of leptin secretion and increase levels of glycerol secretion in the cells. In addition, F-KC reduced contents of Oil red O dye in the 3T3-L1 adipocytes. Also, mRNA expression levels of both SREBP-1c (sterol regulatory element-binding protein 1-c) and PPAR-$\gamma$ (peroxisome proliferator-activated receptor-$\gamma$), which are adipogenic transcription factor, in cells treated with F-KC were markedly down regulated. These results demonstrate that the Bacillus subtillis fermented soymilk (F-KC) decreased lipid content in 3T3-L1 adipocytes by inhibiting lipogenesis. All B. subtilis fermented soymilks had shown antiobesity activities, however, F-KC exhibited the strongest antiobesity effect in the 3T3-L1 adipocytes. Our study suggests that especially F-KC increased the potential of antiobesity effects.

STABILITY OF THE MONOMIAL FUNCTIONAL EQUATION IN QUASI NORMED SPACES

  • Mirmostafaee, Alireza Kamel
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.4
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    • pp.777-785
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    • 2010
  • Let X be a linear space and Y be a complete quasi p-norm space. We will show that for each function f : X $\rightarrow$ Y, which satisfies the inequality ${\parallel}{\Delta}_x^nf(y)\;-\;n!f(x){\parallel}\;{\leq}\;\varphi(x,y)$ for suitable control function $\varphi$, there is a unique monomial function M of degree n which is a good approximation for f in such a way that the continuity of $t\;{\mapsto}\;f(tx)$ and $t\;{\mapsto}\;\varphi(tx,\;ty)$ imply the continuity of $t\;{\mapsto}\;M(tx)$.

Effects of Paeoniae Radix Aqua-Acupuncture Solution on Tert-Butyl Hydroperoxide Induced Lipid Peroxidation and Antioxidative Enzymes in Cultured Rat Liver Cells (작약 약침액이 tert-butyl hydroperoxide 로 유도된 흰쥐 배양 간세포의 지질과산화반응 및 항산화효소 활성에 미치는 영향)

  • Moon, Jin-Young
    • Journal of Acupuncture Research
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    • v.17 no.3
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    • pp.176-187
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    • 2000
  • Objectives : This study was purposed to investigate the antioxidative effects of Paeoniae radix aqua-acupuncture solution(PR) on culture liver cell system, lipid peroxidation and antioxidative enzyme activities in tert-butyl hydroperoxide(t-BHP) treatmented conditions. Methods : Cultured normal rat liver cell(Ac2F) were prepared and incubated with or without PR(at 2% volume in culture medium). After 16~18hr, cells placed in DMEM medium without serum, and then incubated with 1mM t-BHP for 2hr. Viable cells were detected by MTT assay, and the levels of lipid peroxide(LPO) were measured by TBA method. And catalase activity was measured as the decrease in hydrogen peroxide absorbance at 240nm on spectrophotometer using 30mM hydrogen peroxide. Superoxide dismutase(SOD) were assayed by recording the inhibition of nitro blue tetrazolium reduction with xanthine and xanthine oxidase. Glutathione peroxidase(GPX) activity was determined by the modified coupled assay developed by Paglia and Lawrence. The reaction was started by addition of 2.2mM hydrogen peroxide as substrate. The change in absorbance at 340nm was measured for 1min on spectrophotometer. Glutathione-S-transferase(GST) activity was assayed with CDNB as substrate and enzyme activity of GST towards the glutathione conjugation of CDNB. Results : Cell killing was significantly enhanced by addition of t-BHP compared to those of untreated group. PR pretreated cell resisted the toxic effects of t-BHP. LPO levels of t-BHP treatment group were significantly higher than other groups. This increased level was significandy reduced by PR pretreatment. The t-BHP treatment resulted in a decrease of catalase, GPX and GST activities. By contrast, PR pretreatment markedly increased compare to those of untreated groups. Conclusions : T-BHP which can produce intracellular free radical was used for inducer of the peroxidation of cellular lipids. PR protected the cell death induced by t-BHP and significantly increased cell viabiliry in the normal rat liver cell, and showed effective inhibition of lipid peroxidation, and elevations of catalase, GPX and GST activities. These results suggested that PR might play a protective role in lipid peroxidation by free radicals.

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Total Coliforms and Fecal Coliforms as Microbial Indicators of Waterborne Enteric Viruses in Korean Surface Water (한국 지표수에서 수인성 장관계 바이러스에 대한 지표 미생물로서 총 대장균군과 분원성 대장균군)

  • Lee, Gyucheol;Lee, Heesuk
    • Journal of Korean Society of Water and Wastewater
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    • v.20 no.6
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    • pp.885-892
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    • 2006
  • In order to investigate whether or not Total Coliforms (T.C.) and Fecal Coliforms (F.C.) are compatible as indicator microorganisms of waterbome enteric viruses, a total of 192 surface water samples from 24 locations in Korea were tested for T.C., F.C., and human enteric viruses from July 2003 to January 2006. Altogether, the number of T.C. in each samples was ranged from $0{\sim}5.3{\times}10^4$ colony forming unit(CFU)/100mL, and the number of F.C. ranged from $0{\sim}5.0{\times}10^3CFU/100mL$ per sample. Thirty-three percent of the samples tested positive for human enteric viruses after the total culturable virus assay. The results of the statistical analysis showed that T.C. and F.C. had a significant correlation with turbidity and temperature, but the waterbome enteric viruses did not. When compared to the number of T.C. or F.C. per sample, the concentration of waterbome enteric viruses was not found to be correlated. In conclusion, it is suggested that T.C. and F.C. may not be sufficient microbial indicators of waterbome enteric viruses in the samples analyzed in this study. However, further research is needed to find other microbial indicators of waterbome enteric viruses and to develop more advanced and sensitive methods to detect waterborne enteric viruses.

An Existence Result for Neumann Type Boundary Value Problems for Second Order Nonlinear Functional Differential Equation

  • Liu, Yuji
    • Kyungpook Mathematical Journal
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    • v.48 no.4
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    • pp.637-650
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    • 2008
  • New sufficient conditions for the existence of at least one solution of Neumann type boundary value problems for second order nonlinear differential equations $$\array{\{{p(t)\phi(x'(t)))'=f(t,x(t),\;x(\tau_1(t)),\;{\cdots},\;x(\tau_m(t))),\;t\in[0,T],\\x'(0)=0,\;x'(T)=0,}\,}$$, are established.