• Title/Summary/Keyword: $f_T$

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A NOTE ON GENERALIZED DERIVATIONS AS A JORDAN HOMOMORPHISMS

  • Chandrasekhar, Arusha;Tiwari, Shailesh Kumar
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.3
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    • pp.709-737
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    • 2020
  • Let R be a prime ring of characteristic different from 2. Suppose that F, G, H and T are generalized derivations of R. Let U be the Utumi quotient ring of R and C be the center of U, called the extended centroid of R and let f(x1, …, xn) be a non central multilinear polynomial over C. If F(f(r1, …, rn))G(f(r1, …, rn)) - f(r1, …, rn)T(f(r1, …, rn)) = H(f(r1, …, rn)2) for all r1, …, rn ∈ R, then we describe all possible forms of F, G, H and T.

WEAK AND STRONG CONVERGENCE TO COMMON FIXED POINTS OF NON-SELF NONEXPANSIVE MAPPINGS

  • Su, Yongfu;Qin, Xiaolong
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.437-448
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    • 2007
  • Suppose K is a nonempty closed convex nonexpansive retract of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let $T_1,\;T_2\;and\;T_3\;:\;K{\rightarrow}E$ be nonexpansive mappings with nonempty common fixed points set. Let $\{\alpha_n\},\;\{\beta_n\},\;\{\gamma_n\},\;\{\alpha'_n\},\;\{\beta'_n\},\;\{\gamma'_n\},\;\{\alpha'_n\},\;\{\beta'_n\}\;and\;\{\gamma'_n\}$ be real sequences in [0, 1] such that ${\alpha}_n+{\beta}_n+{\gamma}_n={\alpha}'_n+{\beta'_n+\gamma}'_n={\alpha}'_n+{\beta}'_n+{\gamma}'_n=1$, starting from arbitrary $x_1{\in}K$, define the sequence $\{x_n\}$ by $$\{zn=P({\alpha}'_nT_1x_n+{\beta}'_nx_n+{\gamma}'_nw_n)\;yn=P({\alpha}'_nT_2z_n+{\beta}'_nx_n+{\gamma}'_nv_n)\;x_{n+1}=P({\alpha}_nT_3y_n+{\beta}_nx_n+{\gamma}_nu_n)$$ with the restrictions $\sum^\infty_{n=1}{\gamma}_n<\infty,\;\sum^\infty_{n=1}{\gamma}'_n<\infty,\; \sum^\infty_{n=1}{\gamma}'_n<\infty$. (i) If the dual $E^*$ of E has the Kadec-Klee property, then weak convergence of a $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is proved; (ii) If $T_1,\;T_2\;and\;T_3$ satisfy condition(A'), then strong convergence of $\{x_n\}$ to some $x^*{\in}F(T_1){\cap}{F}(T_2){\cap}(T_3)$ is obtained.

STABILITY OF HAHN DIFFERENCE EQUATIONS IN BANACH ALGEBRAS

  • Abdelkhaliq, Marwa M.;Hamza, Alaa E.
    • Communications of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1141-1158
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    • 2018
  • Hahn difference operator $D_{q,{\omega}}$ which is defined by $$D_{q,{\omega}}g(t)=\{{\frac{g(gt+{\omega})-g(t)}{t(g-1)+{\omega}}},{\hfill{20}}\text{if }t{\neq}{\theta}:={\frac{\omega}{1-q}},\\g^{\prime}({\theta}),{\hfill{83}}\text{if }t={\theta}$$ received a lot of interest from many researchers due to its applications in constructing families of orthogonal polynomials and in some approximation problems. In this paper, we investigate sufficient conditions for stability of the abstract linear Hahn difference equations of the form $$D_{q,{\omega}}x(t)=A(t)x(t)+f(t),\;t{\in}I$$, and $$D^2{q,{\omega}}x(t)+A(t)D_{q,{\omega}}x(t)+R(t)x(t)=f(t),\;t{\in}I$$, where $A,R:I{\rightarrow}{\mathbb{X}}$, and $f:I{\rightarrow}{\mathbb{X}}$. Here ${\mathbb{X}}$ is a Banach algebra with a unit element e and I is an interval of ${\mathbb{R}}$ containing ${\theta}$.

Factors associated with health-related quality of life in Postmenopause over 10 Years Women Using National Health and Nutrition Examination Survey (국민건강영양조사를 활용한 폐경 여성의 삶의 질에 영향을 미치는 요인 ; 폐경 10년 이후 여성을 중심으로)

  • Jung, Sun-Kyung;Park, Keum-Ok;Lee, Yoon-Hee
    • Journal of the Korea Convergence Society
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    • v.13 no.4
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    • pp.553-560
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    • 2022
  • This study was conducted to identify the factors affecting the quality of life of women over 10 years after menopause using data from 2014 to 2019 of the National Health and Nutrition Examination Survey. The subjects were 6,330. The data were analyzed by frequency analysis, t-test and multiple regression analysis using SPSS 25. As a result of the study, the factors affecting the health-related quality of life of women 10 years after menopause were age(F=30.625, p<.001), educational level(F=20.106, p<.001), perceived health status(F=187.925, p<.001, activity limitation(t=201.051, p<.001), arthritis(t=91.131, p<.001), osteoporosis(t=4.709, p=.030), hand grip strength(t=22.151, p<.001), perceived stress(F=32.775, p<.001), and depression(t=20.117, p<.001). The factors accounted for 35.1%(F=110.393, p<.001). In order to improve the quality of life of postmenopausal women, it is necessary to continuously evaluate and improve the factors affecting the quality of life from the early menopause.

Functional Status, Hostility, and Social Support in Patients with Percutaneous Coronary Intervention (관상동맥중재술 대상자의 신체적 기능상태, 적대성향, 사회적지지에 관한 연구)

  • Kim, Jiyoung;Kim, Oksoo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.8
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    • pp.226-235
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    • 2016
  • The purpose of this study was to determine the relationships among the functional status, hostility, and social support in patients with percutaneous coronary intervention (PCI). The subjects were comprised of 135 patients who had received PCI from two general hospitals in Seoul, Korea. The functional status differed significantly according to gender (t=5.880, p<0.001), age (F=23.620, p<0.001), education (F=17.718, p<0.001), occupation (t=-6.498, p<0.001), monthly income (F=7.237, p<0.001), and smoking (t=2.327, p=0.025). The hostility differed significantly according to age (F=6.150, p=0.001), period after PCI (F=6.141, p=0.001), and family history (t=2.514, p=0.013). Differences were observed in the scores for social support according to age (F=2.866, p=0.039) and education (F=5.136, p=0.002). Significant positive correlations were found among functional status and social support (r=.20, p=0.025), friends support (r=.22, p=0.010) and a significant negative correlation between functional status and hostility (r=-.24, p=0.005). A significant negative correlation was found between hostility and friends support (r=-.17, p=0.046). Nurses should consider the characteristics of patients who have undergone PCI and develop nursing intervention programs to improve their functional status, hostility, and social support.

Crystal growth and optical absorption of $Mg_{0.16}Zn_{0.84}Te:Co $ single crystal ($Mg_{0.16}Zn_{0.84}Te:Co $단결정 성장과 광흡수 특성)

  • 정상조
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.7 no.4
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    • pp.548-554
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    • 1997
  • The single crystal of $Mg_{0.16}Zn_{0.84}$Te:Co(Co:0.01 mole%) was grown by vertical Bridgman method. The crystal structure of $Mg_{0.16}Zn$_{0.84}$Te:Co and optical absorption properties of this compound were studied. The grown single crystal has a cubic structure and a lattice constant a=6.1422 $\AA$ were determined by X-ray diffraction. As a result of the optical absorption spectra of $Mg_{0.16}Zn_{0.84}$Te:Co, the intracenter transitions due to $Co^{2+}$ ions were detected for $A-band:^4A_2(^4F){\to}^4T_2(^4F),\; B-band:^4A_2(^4F){\to}^4T_1(^4F), C- band:^4A_2(^4F){\to}^4T_1(^4P)$.The charge transfer transition near the absorption edge was observed in the wavelength range of 550 to 770 nm. According to the crystal field theory, the crystal field parameter(Dq) and the Racah parameter(B) were determined.

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F/T sensor application for robotic deburring

  • Park, Jong-Oh;Lee, Heck-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1677-1680
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    • 1991
  • Machining is a bottleneck in robot application technologies because of uncertainty of position/form, poor reliability of robot function and low reaction speed of robot to changes of surroundings, But in grinding automation with relatively low machining speed it is feasible to integrate of sensor signal in machining. In this paper strategy for robotic grinding with F/T sensor will be presented and with that the experimental results will be discussed. F/T sensor signal in grinding of strategy weld seam are transferred to PC, which plays a role as cell computer and transform F/T data to robot position and/or orientation, speed correction data according to programmed algorithm. The possibility and boundary of robotic grinding with F/T sensor intergration is discussed.

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Intracellular Trafficking of Transferrin-Conjugated Liposome/DNA Complexes by Confocal Microscopy

  • Lee Sang Mi;Kim Jin-Seok
    • Archives of Pharmacal Research
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    • v.28 no.1
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    • pp.93-99
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    • 2005
  • Intracellular trafficking of transferrin-conjugated dimethyldioctadecyl-ammonium bromide liposome $(T_f-liposome)/DNA$ complexes in HeLa cells was studied using the double-labeled fluorescence technique and confocal microscopy. The size of the $T_f-liposome/DNA$ complex was about 367 nm in diameter and the zeta-potential of it at a 5:1 (w/w) ratio was almost neutral. The intracellular pathway of the $T_f-liposome/DNA$ complex, noted as green (FITC), red (rhodamine) or yellow (FITC + rhodamine) fluorescence, was elucidated from the plasma membrane to the endosome (or lysosome), and finally to the nucleus. The results of this study indicate that plasmid DNA enters into the nucleus not only as a free form but as an associated form complexed with $T_f-liposome$. More interestingly, the $T_f-liposome$ undergoes a nuclear location in the form of ordered structures. This could be a very useful piece of information in designing a safe and advanced gene delivery system.