• Title/Summary/Keyword: 2-1 norm

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CONVERGENCE OF APPROXIMATING FIXED POINTS FOR MULTIVALUED NONSELF-MAPPINGS IN BANACH SPACES

  • Jung, Jong Soo
    • Korean Journal of Mathematics
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    • v.16 no.2
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    • pp.215-231
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    • 2008
  • Let E be a uniformly convex Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm, C a nonempty closed convex subset of E, and $T:C{\rightarrow}{\mathcal{K}}(E)$ a multivalued nonself-mapping such that $P_T$ is nonexpansive, where $P_T(x)=\{u_x{\in}Tx:{\parallel}x-u_x{\parallel}=d(x,Tx)\}$. For $f:C{\rightarrow}C$ a contraction and $t{\in}(0,1)$, let $x_t$ be a fixed point of a contraction $S_t:C{\rightarrow}{\mathcal{K}}(E)$, defined by $S_tx:=tP_T(x)+(1-t)f(x)$, $x{\in}C$. It is proved that if C is a nonexpansive retract of E and $\{x_t\}$ is bounded, then the strong ${\lim}_{t{\rightarrow}1}x_t$ exists and belongs to the fixed point set of T. Moreover, we study the strong convergence of $\{x_t\}$ with the weak inwardness condition on T in a reflexive Banach space with a uniformly $G{\hat{a}}teaux$ differentiable norm. Our results provide a partial answer to Jung's question.

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A Modified Method Based on the Discrete Sliding Norm Transform to Reduce the PAPR in OFDM Systems

  • Salmanzadeh, R.;Mozaffari Tazehkand, B.
    • ETRI Journal
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    • v.36 no.1
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    • pp.42-50
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    • 2014
  • Orthogonal frequency division multiplexing (OFDM) is a modulation technique that allows the transmission of high data rates over wideband radio channels subject to frequency selective fading by dividing the data into several narrowband and flat fading channels. OFDM has high spectral efficiency and channel robustness. However, a major drawback of OFDM is that the peak-to-average power ratio (PAPR) of the transmitted signals is high, which causes nonlinear distortion in the received data and reduces the efficiency of the high power amplifier in the transmitter. The most straightforward method to solve this problem is to use a nonlinear mapping algorithm to transform the signal into a new signal that has a smaller PAPR. One of the latest nonlinear methods proposed to reduce the PAPR is the $L_2$-by-3 algorithm, which is based on the discrete sliding norm transform. In this paper, a new algorithm based on the $L_2$-by-3 method is proposed. The proposed method is very simple and has a low complexity analysis. Simulation results show that the proposed method performs better, has better power spectral density, and is less sensitive to the modulation type and number of subcarriers than $L_2$-by-3.

Factors Influencing Cancer Rescreening Intention of Korean Elderly (암검진 수검 노인의 재수검의도에 미치는 요인)

  • Kim, Hee-Jung
    • The Korean Journal of Rehabilitation Nursing
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    • v.18 no.2
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    • pp.118-127
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    • 2015
  • Purpose: This study was conducted to survey the cancer screening status of Korean elderly and to analyze factors influencing cancer rescreening intention. Methods: Participants were 262 elderly aged 65 or older who visited medical examination center at D University hospital located in D city. Data were collected from June 1 to July 31, 2012 using a structured questionnaire which included health behavior and cancer screening related characteristics, theory of planned behavior variables, EQ-5D, and cancer screening satisfaction. The data were analyzed by SPSS/WIN 18.0 program. Results: Factors influencing elderly's cancer rescreening intention were 'satisfaction about the cancer screening', 'attitude toward cancer rescreening behavior', 'subjective norm toward cancer rescreening behavior', and 'previous experience with cancer screening in the past 2 years'. Cancer rescreening intention was higher in participants with satisfied experience of cancer screening, more positive in attitude and higher in subjective norm toward cancer rescreening. Cancer rescreening intention was lower when participants were not screened for cancer in the past 2 years. Conclusion: The study results indicate that customized interventions based on influential factors such as subjective norm, attitude toward cancer screening, and cancer screening satisfaction are necessary in order to promote the consistent cancer screening of Korean elderly.

ON THE THREE OPERATOR SPACE STRUCTURES OF HILBERT SPACES

  • Shin, Dong-Yun
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.983-996
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    • 1996
  • In this paper, we show that $\Vert \xi \Vert_r = \Vert \sum_{i \in I}x_i x^*_i \Vert^{\frac{1}{2}}, \Vert \xi \Vert_c = \Vert \sum_{i \in I}x^*_ix_i \Vert^{\frac{1}{2}}$ for $\xi = \sum_{i \in I}x_i e_i$ in $M_n(H)$, that subspaces as Hilbert spaces are subspaces as column and row Hilbert spaces, and that the standard dual of column (resp., row) Hilbert spaces is the row (resp., column) Hilbert spaces differently from [1,6]. We define operator Hilbert spaces differently from [10], show that our definition of operator Hilbert spaces is the same as that in [10], show that subspaces as Hilbert spaces are subspaces as operator Hilbert spaces, and for a Hilbert space H we give a matrix norm which is not an operator space norm on H.

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MAX-NORM ERROR ESTIMATES FOR FINITE ELEMENT METHODS FOR NONLINEAR SOBOLEV EQUATIONS

  • CHOU, SO-HSIANG;LI, QIAN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.2
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    • pp.25-37
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    • 2001
  • We consider the finite element method applied to nonlinear Sobolev equation with smooth data and demonstrate for arbitrary order ($k{\geq}2$) finite element spaces the optimal rate of convergence in $L_{\infty}\;W^{1,{\infty}}({\Omega})$ and $L_{\infty}(L_{\infty}({\Omega}))$ (quasi-optimal for k = 1). In other words, the nonlinear Sobolev equation can be approximated equally well as its linear counterpart. Furthermore, we also obtain superconvergence results in $L_{\infty}(W^{1,{\infty}}({\Omega}))$ for the difference between the approximate solution and the generalized elliptic projection of the exact solution.

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A Study on the anti-Corrosion Properties of Inhibitor in Aqueous Solution (수용액내에서의 방청제 부식성능 평가연구)

  • Ryu, Hwa-Sung;Lee, Han-Seung
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2011.11a
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    • pp.221-223
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    • 2011
  • In this study, in order to comprehend performance of corrosion inhibitor, the experiment study was conducted about corrosion characteristic of 3 steps(0.0, norm 1/2, norm) compared to organic corrosion inhibitor standard use of liquid and molar 3 steps(0.0, 0.3, 0.6%) of Chloride by added amount of inorganic corrosion inhibitor by the corrosion inhibitor types about 2.4kg/㎥, 4.8kg/㎥ based on Chloride ion content 1.2kg/㎥ for service life prediction of concrete structure by using Poteniostat.

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The Effects of Smoking Cessation School Program on Smoking Behavior in Adolescent Smokers (금연학교 교육프로그램이 청소년 흡연자의 흡연행위에 미치는 효과)

  • Song, Mi-Ra;Kim, Soon-Lae
    • Research in Community and Public Health Nursing
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    • v.12 no.1
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    • pp.115-124
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    • 2001
  • This study was designed to investigate the effects of a smoking cessation school program on attitudes towards smoking cessation, the subjective norm, perceived behavioral controls, the intent to cease smoking and smoking behavior. Also included was the goals of the program itself. Study subjects were 80 adolescent smokers who at least attended the smoking cessation school program without absence. had smoked one cigarette at the time of the first study before the program and attended the first. second. and third studies (The study was conducted from September 26. to December 21. 1999. a period of 59 days). Data collection was performed using the TPB questionnaire which was developed by Jee Yon-Ock(1994). The survey included questions covering the intended areas of study mentioned above. The first data was collected during the first day of the five day program. The second survey was conducted immediately after the last day of the program and the last survey was four weeks later. Data was analyzed with a SAS/PC program including N. %. a paired t-test. The results were as follows; 1. After the program. the scores representing attitude towards smoking cessation (before program: 14.5. after program: 16.8) and perceived behavioral control (before program: 1.2. after program: 2.1) rose significantly, but the scores for attitudes towards the subjective norm and the intent to cease smoking were not notably different. 2. After the program. the frequency of daily smoking fell significantly (before program: 5.7 cigarettes. after program: 3.2 cigarettes). In conclusion, the five day smoking cessation school program increased attitude. perceived behavioral control and decreased smoking behavior but did not influence subjective norm, smoking cessation intention. Thus, further study is required to better evaluate the effects of the program and to improve any shortcomings.

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Lindley Type Estimators When the Norm is Restricted to an Interval

  • Baek, Hoh-Yoo;Lee, Jeong-Mi
    • Journal of the Korean Data and Information Science Society
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    • v.16 no.4
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    • pp.1027-1039
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    • 2005
  • Consider the problem of estimating a $p{\times}1$ mean vector $\theta(p\geq4)$ under the quadratic loss, based on a sample $X_1$, $X_2$, $\cdots$, $X_n$. We find a Lindley type decision rule which shrinks the usual one toward the mean of observations when the underlying distribution is that of a variance mixture of normals and when the norm $\parallel\;{\theta}-\bar{{\theta}}1\;{\parallel}$ is restricted to a known interval, where $bar{{\theta}}=\frac{1}{p}\;\sum\limits_{i=1}^{p}{\theta}_i$ and 1 is the column vector of ones. In this case, we characterize a minimal complete class within the class of Lindley type decision rules. We also characterize the subclass of Lindley type decision rules that dominate the sample mean.

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A Synthesis for Robust Servo System Based on Mixed $H_2/H_{\infty}$ Control

  • Park, Yeon-Wook;Lee, Kum-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.88-91
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    • 1999
  • The purpose of this paper is to propose an approach to design a robust servo controller based on the Mixed H$_2$/H$\sub$$\infty$/ theory. In order to do this, we first modify the generalized plant for the usual H$\sub$$\infty$/ servo problem to a structure of the Mixed H$_2$/H$\sub$$\infty$/ minimization problem by virtue of the internal model principle. By doing this, we can divide specifications adopted for robust servo system design into H$_2$and H$\sub$$\infty$/ performance criteria, respectively. Then, the mixed H$_2$/H$\sub$$\infty$/ problem is solved in order to find the best solution, by which we can minimize H$_2$-norm of the transfer function under the condition of H$\sub$$\infty$/-norm value, through Linear Matrix Equality (LMI).

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Testing the Theory of Planned Behavior in the Prediction and Intention of Smoking Cessation Behavior (일부 대학생의 금연의도 예측을 위한 계획된 행위이론(Theory of planned Behavior)의 검증)

  • Hyun, Hye-Jin
    • Research in Community and Public Health Nursing
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    • v.9 no.1
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    • pp.117-127
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    • 1998
  • The Theory of Planned Behavior has been shown to yield great explanatory power in health behavior as well as social behavior. This study was conducted to test the Theory of Planned Behavior in the prediction and intention of smoking cessation behavior in university student smokers. We conveniently sampled 204 university student smokers and investigated using questionaries, analyzing the data with the Pearson product-moment correlation, and multiple regression. The results are as follows : 1. There are significant correlations in direct and indirect measures of attitude toward smoking cessation behavior, subjective norm, and perceived behavioral control. 2. Behavior belief is significant in predicting attitudes toward smoking cessation behavior. Normative belief is significant in predicting the subjective norm. Control belief is significant in predicting perceived behavioral control. 3. Attitude toward smoking cessation behavior, subjective norm are significant in predicting intention of smoking cessation behavior. In conclusion, this study demonstrated strong support for the Theory of the Planned Behavior and its use to predict smoking cessation behavior in university students smokers. But, as perceived behavioral control is not significant in predicting smoking cessation behavior, indepth research is needed to evaluate the usefullness of the Theory of Planned Behavior and Reasoned Action Theory.

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