• Title/Summary/Keyword: p-norm

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NORM OF THE COMPOSITION OPERATOR MAPPING BLOCH SPACE INTO HARDY OR BERGMAN SPACE

  • Kwon, Ern-Gun;Lee, Jin-Kee
    • Communications of the Korean Mathematical Society
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    • v.18 no.4
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    • pp.653-659
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    • 2003
  • Let $1{\;}\leq{\;}p{\;}\infty{\;}and{\;}{\alpha}{\;}>{\;}-1$. If f is a holomorphic self-map of the open unit disc U of C with f(0) = 0, then the quantity $\int_U\;\{\frac{$\mid$f'(z)$\mid$}{1\;-\;$\mid$f(z)$\mid$^2}\}^p\;(1\;-\;$\mid$z$\mid$)^{\alpha+p}dxdy$ is equivalent to the operator norm of the composition operator $C_f{\;}:{\;}B{\;}\rightarrow{\;}A^{p,{\alpha}$ defined by $C_fh{\;}={\;}h{\;}\circ{\;}f{\;}-{\;}h(0)$, where B and $A^{p,{\alpha}$ are the Bloch space and the weighted Bergman space on U respectively.

On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions

  • Tripathy, Binod Chandra;Dutta, Hemen
    • Kyungpook Mathematical Journal
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    • v.50 no.1
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    • pp.59-69
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    • 2010
  • The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.

A Study on the Relationship with Acupuncture Stimulation and Stress Using Heart Rate Variability (심박변이도를 통한 침자극과 스트레스의 상관관계 연구)

  • Lee, Seung-Gi;Park, Kyung-Mo;Choi, Woo-Jin
    • Journal of Oriental Neuropsychiatry
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    • v.15 no.1
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    • pp.197-209
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    • 2004
  • Objectives : The purpose of this case-control research was to investigate the effects of acupuncture stimulation on autonomic nervous system for patients with HRV and to find out relationship with anti-stress effects. Methods : The study group consists of 24 patients with self-recognition of stress as the case group, and 20 normal person as the control group by similar age. We measured HRV of case and control groups before acupuncture stimulation, prick acupuncture in Hegu(LI4), Taichong(Liv3), Shenme(H7), Neiguan(P6), Zusanli(S36). After treating for 20 minutes, measurement values of HRV and PSV were compared for pre-acupuncture and post-acupuncture. Results : 1. LF norm, HF norm, LF/HF between the case and control groups were significant different in HRV before acupuncture stimulation in the 1st experiment. 2. HRT, SDNN, SDSD, LF norm, HF norm, and LF/HF of the case group were significant different in HRV after acupuncture stimulation in the 1st experiment. HRT of the case group was significantly different in HRV after acupuncture stimulation in the 1st experiment. 3. LF norm, HF norm, LF/HF of the case group were significant different between the 1st and 2nd experiment in HRV before acupuncture stimulation. 4. LF norm, HF norm, and LF/HF were significant different between the 1st and 2nd experiment in HRV of patients whose symptoms improved. But HRV of patients whose symptoms unimproved didn't show significant difference. Conclusion : The results suggest that acupuncture stimulation is associated with changed activity in the sympathetic and parasympathetic nervous system. Measurement values of HRV is suitable to estimate the activity of automatic nervous system.

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The Cross Sectional Study of Autonomic Nerve Balance And Stress In Patient Who Visted Dept. of Oriental Medical Dermatology (HRV 검사를 통한 피부과 내원환자의 자율신경 균형 및 스트레스 단면 연구)

  • Kim, Kyu-Seok;Nam, Hae-Jeong
    • The Journal of Korean Medicine Ophthalmology and Otolaryngology and Dermatology
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    • v.21 no.2
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    • pp.142-153
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    • 2008
  • Objective : Etiologically, stress is a important factor to immune system and skin disease. Human body is controled to keep his homeostasis from stress by autonomic nerve system. So we investigated autonomic nerve balance and stress level of patients with skin disease by heart rate variability(HRV) test. Research Methods and Procedures : Fifty two patient(from 15 years old to 35 years old) who visited Dept. of Oriental medical Dermatology, Kyunghee university at first and had an examination by HRV test, were selected as the subject of our study. We checked items of HRV test(such as SDNN, RMSSD, VLF, LF, HF, TP, norm-LF, norm-HF, LF/HF ratio, LnHF and LnHF), and analyzed time and frequency domain by sex, age, onset, color on end of patient's tongue, sweating and sleep condition. Results and Conclusion : Men showed significant higher SDNN, RMSSD, LF, norm-LF, norm-HF, LF/HF ratio, LnLF and LnHF than women(p <0.05). Patients who were attacked by skin disease within 6 months, showed significant higher TP and VLF than over 6 months(p <0.05). Patients with normal color on the end of their tongue showed significant higher TP and VLF than with flare color. We analyzed correlation to color on the end of tongue and RMSSD. Prevalence risk(RMSSD <20ms) in the case of normal color on the end of tongue was 5 times as high as in the case of flare color(p <0.1). And we analyzed correlation to age and LF/HF ratio. Prevalence risk(LF/HF ratio <1) of patients from 15 years old to 25 years old was 1.467 times as high as from 26 years old to 35 years old(p <0.1).

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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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Factors Associated with Intention to receive Human Papillomavirus Vaccine in Undergraduate Women: An Application of the Theory of Planned Behavior (계획된 행위 이론을 적용한 여대생의 인유두종 바이러스 백신 접종의도 영향요인)

  • Lee, Kyu Eun
    • Journal of Korean Academy of Fundamentals of Nursing
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    • v.21 no.4
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    • pp.457-465
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    • 2014
  • Purpose: The purpose of this study was to apply Ajzen's theory of planned behavior to identify factors that affect undergraduate women's decisions to receive human papillomavirus(HPV) vaccination. Method: The research design for this study was a descriptive survey design using convenience sampling. Data collection was done using self-report questionnaires with 254 undergraduate students in G city. Data were analyzed using percentage, mean, standard deviation, t-test, ANOVA, Mann-Whitney U test, Pearson correlation analysis and multiple regression with the SPSS Win 20.0 Program. Results: The mean score of intention to receive HPV vaccine was $3.88{\pm}1.05$ out of a possible 7. Intention to receive HPV vaccine showed a significantly positive correlation with attitudes (r=.26, p<.001), subjective norm (r=.51, p<.001), perceived behavior control (r=.41, p<.001) to receive HPV vaccination. In the multiple regression analysis, subjective norm and perceived behavior control to receive HPV vaccine were significant predictors and explained 33.7% of intention to receive HPV vaccine. Conclusion: Results of this study show that there are significant factors affecting the intention of undergraduate women to receive HPV vaccination. Also, strategies emphasizing subjective norm and perceived behavior control in obtaining HPV vaccination should be taken into account in developing educational programs.

A study on improving the effectiveness of a boolean retrieval system with feedback information (피드백 정보를 이용한 불논리 검색 시스템의 성능 증진에 관한 실험적 연구)

  • 신은자;정영미
    • Journal of the Korean Society for information Management
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    • v.15 no.1
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    • pp.129-148
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    • 1998
  • The objective of this study is to develop a useful relevance feedback retrieval technique that can be applied to the current Boolean retrieval system. A feedback retrieval technique based on user model is recommended here to achieve this objective. To prove the usefulness of this feedback retrieval technique, two enhanced Boolean retrieval models including DNF model and P-norm model were evaluated first through retrieval effectiveness experiments. After selecting DNF model as the retrieval model, two feedback retrieval experiments were performed using initial and extended user models. It is proved that the feedback retrieval based on user model can greatly enhance the effectiveness of a Boolean retrieval system with a small modification.

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The Effect of Laser Acupuncture at $HT_7$(Sinmun) for Mental Stress on Short-term Analysis of Heart Rate Variability (신문혈(神門穴) 레이저침 시술이 정신적 스트레스를 가한 성인의 심박변이도에 미치는 영향)

  • Jang, Jin-Young;Cho, Seong-Yeun;Kim, So-Jung;Kim, Yong-Suk;Nam, Sang-Soo
    • Journal of Acupuncture Research
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    • v.27 no.5
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    • pp.51-58
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    • 2010
  • Objectives : The purpose of this study is to assess the effect of laser acupuncture at $HT_7$ for reducing mental stress using power spectrum analysis of the heart rate variability. Methods : 36 healthy volunteers(control group: 18, treatment group: 18) participated in this study. After instrumentation and 5-minute rest period, 5-minute metal stress by operation was provided. HRV was recorded before and after the mental stress(1st, 2nd HRV). After 2nd HRV recording, the control group rested for 15 minutes without any treatments. Participants in the treatment group received laser acupuncture to $HT_7$ unilaterally and rested for 15minutes. Points were irradiated for 60seconds, and the intensity was 1.8J(output 20%). And then 3rd HRV was recorded. Results : In simple rest group, LF norm showed a significant change after mental stress. In laser acupuncture group, LF norm, HF norm, LF, HF and LF/HF ratio showed a significant change after mental stress. But there were no significant difference between two groups(ANCOVA test, p>0.05). In laser acupuncture group, LF norm, HF norm, HF and LF/HF ratio showed a significant change after laser acupuncture treatment. And there were significant differences between two groups(p<0.05). Conclusions : This study suggests that laser acupuncture at $HT_7$ can regulate and prevent the alternation of autonomic nervous system due to mental stress.

A Motion Compression Method by Min S-norm Composite Fuzzy Relational Equations

  • Nobuhara, Hajime;Hirota, Kaoru
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.488-491
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    • 2003
  • A motion compression method by min s-norm composite fuzzy relational equations (dual-MCF) is proposed, where a motion sequence is divided into intra-pictures (I-pictures) and predictive-pictures (P-pictures). The I-pictures and the P-pictures are compressed by using uniform coders and non-uniform coders, respectively. A design method of non-uniform coders is proposed to perform an efficient compression and reconstruction of the P-pictures, based on the dual overlap level of fuzzy sets and a fuzzy equalization. An experiment using 10 P-pictures confirms that the root means square errors of the proposed method is decreased to 82.9% of that of the uniform coders, under the condition that the compression rate is 0.0055. An experiment of motion compression and reconstruction is also presented to confirm the effectiveness of the dual-MCF based on the non-uniform coders.

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Lindley Type Estimators with the Known Norm

  • Baek, Hoh-Yoo
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.1
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    • pp.37-45
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    • 2000
  • Consider the problem of estimating a $p{\times}1$ mean vector ${\underline{\theta}}(p{\geq}4)$ under the quadratic loss, based on a sample ${\underline{x}_{1}},\;{\cdots}{\underline{x}_{n}}$. We find an optimal decision rule within the class of Lindley type decision rules which shrink the usual one toward the mean of observations when the underlying distribution is that of a variance mixture of normals and when the norm ${\parallel}\;{\underline{\theta}}\;-\;{\bar{\theta}}{\underline{1}}\;{\parallel}$ is known, where ${\bar{\theta}}=(1/p){\sum_{i=1}^p}{\theta}_i$ and $\underline{1}$ is the column vector of ones.

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