• Title/Summary/Keyword: Sup-Norm

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BOUNDARIES FOR AN ALGEBRA OF BOUNDED HOLOMORPHIC FUNCTIONS

  • Moraes, L.A.;Grados, L.-Romero
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.231-242
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    • 2004
  • Let $A_b(B_E)$ be the Banach algebra of all complex valued bounded continuous functions on the closed unit ball $B_E$ of a complex Banach space E, and holomorphic in the interior of $B_E$, endowed with the sup norm. We present some sufficient conditions for a set to be a boundary for $A_b(B_E)$ in case E belongs to a class of Banach spaces that includes the pre-dual of a Lorentz sequence space studied by Gowers in [6]. We also prove the non-existence of the Shilov boundary for $A_b(B_E)$ and give some examples of boundaries.

RELATIVE (p, q) - 𝜑 ORDER BASED SOME GROWTH ANALYSIS OF COMPOSITE p-ADIC ENTIRE FUNCTIONS

  • Biswas, Tanmay;Biswas, Chinmay
    • Korean Journal of Mathematics
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    • v.29 no.2
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    • pp.361-370
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    • 2021
  • Let 𝕂 be a complete ultrametric algebraically closed field and 𝓐 (𝕂) be the 𝕂-algebra of entire function on 𝕂. For any p-adic entire functions f ∈ 𝓐 (𝕂) and r > 0, we denote by |f|(r) the number sup {|f (x)| : |x| = r} where |·|(r) is a multiplicative norm on 𝓐 (𝕂). In this paper we study some growth properties of composite p-adic entire functions on the basis of their relative (p, q)-𝜑 order where p, q are any two positive integers and 𝜑 (r) : [0, +∞) → (0, +∞) is a non-decreasing unbounded function of r.

Studies on the Nature of Resistance of Rice Plant to Bacterial Leaf Blight Caused by Xanthomonas oryzae (Uyeda et. Ishiyama) Dowson (벼 흰빛잎마름병에 대한 수도 품종의 저항성에 관한 연구)

  • Park Chang Seuk;Cho Yong Sup
    • Korean journal of applied entomology
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    • v.11 no.2
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    • pp.55-60
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    • 1972
  • The study has been carried to investigate the nature of resistance in rice varieties against bacterial leaf blight caused by Xanthomonas oryzae (Uyeda et. Ishiyama) Dowson. In this study, differences on several morphological histological and bacterial growth in rice leaf extract from different varieties were examined. Shirogane and Norm 6 as resistant varieties, Paldal as moderately resistant, and Jinheung, Kimmaze and Suwon 213 as susceptible varieties were used throughout the experiment. 1. Susceptible varieties Jinheung, Kimmaze have more hydathods in flag leaf than resistant varieties but there were no difference between resistant varieties and moderatly resistant varieties. 2. Average length of xylem vessel elements were 50r longer in leaf veins of susceptible varieties Jinheung, Kimnaze and Suwon 213 than those of resistant varieties, but there were no difference among Paldal, Norm 6 and Shirogane. 3. Kimmaze and Suwon 213 have larger diameter of xylem vessel elements than those of other varieties examined. However, it did not differ significantly between resistant varieries and susceptible varieties statistically. 4. Jinheung and Kimmaze have more secondary xylem vessels in root of 6-7th leaf stage than those of Shirogane and Norm 6. Suwon 213, however, showed least number of secondary xylem vessels exceptionally. 5. Leaf extract from resistnat variety Shirogane, suppressed bacterial growth significantly when compared with those from other varieties. 6. Bacterial growth in autoclaved leaf extract from resistant varieties and susceptible varieties did not show any noticeable difference. In general, fresh extract maintained more bacteria than in autoclaved extract after 48 hours of incubation period.

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Fungal Development, Respiration and Activity of Oxidative Enzymes in Rice Plants Inoculated with Pyricularia oryzae in Both Compatible and Incompatible Combinations (벼 도열병균에 감염된 친화 및 비친화 조합 벼에서의 균생장, 호흡 및 산화효소 활성)

  • Chung Bong-Koo;Chung Hoo-Sup
    • Korean journal of applied entomology
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    • v.21 no.3 s.52
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    • pp.113-122
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    • 1982
  • Appressorial formation of Pyricularia oryzae on leaves showed no marked difference between highly resistant Tongil and susceptible Norm No. 6. Race N-2 of the blast fungus penetrated directly into motor cells of susceptible cultivar Norm No. 6, later extensively spreading hyphae were developed, while in the cultivar Tongil, after penetration, no further hyphal extension resulted. In discoloration of infected tissues, the highly resistant cultivar Tongil not only discolored rapidly, but also the percentage of discolored cells was higher than the susceptible cultivars, Jinheung and Norm No. 6. The respiratory rate, was generally higher in infected tissue than in healthy tissue. No significant difference in the respiration rate of resistant Suwon No. 180 was not found between the infected and healthy leaf tissue, whereas, in susceptible Jinheung, a marked increase in respiratory rate was caused by blast infection. The respiratory rate increased at the appearance of the first visible symptom in all cultivars resistant or susceptible. Higher peroxidase activity was found in infected tissues as compared with healthy tissue. Peroxidase activity increased in resistant and susceptible reactions. Particularly, in resistant reaction, the increase of the activity was more pronounced. In highly resistant reaction, there was no difference in peroxidase activity between healthy and infected tissues. Ascorbic acid oxidase, hydroquinone oxidase and catechol oxidase had the same trend as the peroxidase. In contrast, activity of catalase rather decreased in leaf tissues infected with compatible races of the fungus.

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BRIBERY INTENTION IN CONSTRUCTION INDUSTRY : AN APPLICATION OF THE THEORY OF PLANNED BEHAVIOR

  • Chung-Fah Huang;Kuen-Lung Lo;Shiau-Ju Shiue;Hsin-Chian Tseng
    • International conference on construction engineering and project management
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    • 2011.02a
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    • pp.318-323
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    • 2011
  • Illegal and unethical behaviors of the construction industry affect people's lives and health more than the same problems of the other industries. Among these behaviors, the construction industry is mostly criticized for bribery scandals. According to the survey of the Ministry of Justice in Taiwan over the past years, bribery cases involving public engineering projects and governmental procurements account for a rather large portion of the indicted corruption cases. Transparency International's "Bribe Payer Index" indicates people in construction-related industries are the most likely to pay bribes. Poor construction quality directly and indirectly caused by bribery poses a great threat to public safety, organizational reputation and economic development. However, there is a limited number of existing research on the bribery problem of the construction industry. This study is an empirical attempt to explore bribery intention and its affecting factors among the construction organizations in Taiwan by conducting a questionnaire survey. The theory of planned behavior was used in this study to build its research model (covering elements of attitude, subjective norm, perceived behavior control, and intention). Totally 431 valid samples were returned. To explore the factors affecting bribery intention, this study adopted Pearson's correlation analysis to discuss about the connections among the questionnaire respondents' attitudes to bribery, subjective norms, perceived behavior control, and bribery intention. A multi-regression analysis was then conducted to test if the planned behavior theory can effectively predict bribery intention. The research found (1) according to the results of Pearson's correlation analysis, the respondents' bribery intention, attitudes, subjective norms, and perceived behavior control are positively correlated with one another; (2) according to the results of the multi-regression analysis, bribery intention can be explained through attitudes, subjective norms, and perceived behavior control with an adjusted R2 value of 0.591, meaning 59.1% of the bribery intention's variances can be explained through the three dimensions. In addition, each of the three dimensions has a significant influence on the respondents' behavior intentions.

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Effect of HPV Prevention Education on College Students Based on Planned Behavior Theory (계획된 행위이론에 근거한 대학생의 HPV예방교육 효과)

  • Lee, Sun-Young;Lee, Hye-Kyung
    • Journal of the Korean Applied Science and Technology
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    • v.38 no.6
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    • pp.1722-1734
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    • 2021
  • The purpose of this study was that HPV prevention education based on the planned behavioral theory was designed to provide college students with HPV vaccine knowledge, cervical cancer knowledge, attitude toward HPV vaccination, subjective norms for HPV vaccination, perceived behavioral control for HPV vaccination, and HPV vaccination. This is an experimental study to confirm the effect on the intention to vaccinate and the behavior of HPV vaccination. The subjects were arbitrarily expressed as 32 subjects in the experimental group and 34 subjects in the control group. The collected data were analyzed by descriptive statistics, t-test, χ2-test, Fisher's exact test and repeated Measures ANOVA. As a result, the experimental group participating in HPV prevention education was compared to the control group who did not participate in HPV vaccine knowledge (t=5.66, p<.001), cervical cancer knowledge (t=4.13, p<.001), attitude (t=2.24, p=) .032 ), subjective norm (t=2.83, p=.008), perceived behavioral control (t=2.65, p=.013), and intention (t=3.91, p<.001) were significantly different. After 4 weeks of HPV prevention education intervention, there was a significant difference in the interaction between group and time course of HPV vaccination intention (F=6.95, p=.002). Therefore, it was confirmed that HPV prevention education is an educational program that can be applied to college students.

Analysis of Dietary Identify Questionnaire according to perception about soybean meat of Korean consumers (국내 소비자의 콩고기 인식에 따른 식생활 정체성 분석)

  • Lee, Seo-Hyun;Park, Jae-Hee;Lee, Min A;Park, Eunju
    • Journal of Nutrition and Health
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    • v.55 no.4
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    • pp.492-505
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    • 2022
  • Purpose: This study was undertaken to examine the perception of Korean consumers regarding soybean meat. Using the Dietary Identify Questionnaire (DIQ), the data obtained were analyzed to identify various factors related to a plant-based diet. Methods: A consumer survey was conducted from June 1st to 30th, 2021, targeting 260 Korean consumers over the age of 20 years. Subjects were asked to answer six questions related to the perception of soybean meat. Of the 52 items present in the DIQ, 33 items were verified and reconstructed. All data were analyzed using the SPSS statistics (ver.25). Results: The subjects were divided into two groups, 'passive consuming group' and 'active consuming group', based on their perception of soybean meat. Demographic analysis according to the perception of soybean meat showed significant differences in age, marital status, academic background, and family members. The DIQ was categorized into 7 types: prosocial motivation, out-group regard, centrality, public regard, personal motivation, strictness, and private regard. Comparing by perception about soybean meat, significant differences were obtained between both groups for 'prosocial motivation (p < 0.01)', 'centrality (p < 0.01)', 'private norm (p < 0.05)', and 'personal motivation (p < 0.001)'. The 'passive consuming group' showed relatively low scores in all 4 factors. Conclusion: In the future, the results of this study can be applied to define the meaning of vegan in Korea. We believe our results will provide basic marketing data for the plant-based meat market. This will help expand the soybean meat market for a sustainable life for consumers, which is based on various needs such as health and the environment.

Understanding Customer Intention to Adopt Sustainable IT Products through Two Dimensional Value Structure and Perceived Sustainability

  • Kwon, Ohbyung;Song, Myung Sup
    • Asia pacific journal of information systems
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    • v.22 no.3
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    • pp.29-52
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    • 2012
  • As sustainability has grown into a key global issue, more and more information technology (IT) products have adopted these concepts to attract consumers. However, these products potentially require consumers' physical or economic sacrifice at least for a short period of time. Therefore, the reason of consumers' adoption of sustainable IT products cannot be fully explained by the two traditional values: hedonic and utility values. However, expectancy-value theory, which has been used to explain the relationship between value and behavior, still takes hedonic value and utility value into consideration. The purpose of this study is to suggest an amended expectancy-value theory to better explain the adoption of IT products that consider sustainability. For this purpose, two social values-the normative value based on the Schwartz's model of moral norm and the eudemonic value of the Stoic philosophy-were added to the individual values to examine which value particularly influences the adoption of sustainable IT products. In addition, the moderating effect of perceived sustainability between four values and adoption of sustainable IT products was verified.

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WEAKTYPE $L^1(R^n)$-ESTIMATE FOR CRETAIN MAXIMAL OPERATORS

  • Kim, Yong-Cheol
    • Journal of the Korean Mathematical Society
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    • v.34 no.4
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    • pp.1029-1036
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    • 1997
  • Let ${A_t)}_{t>0}$ be a dilation group given by $A_t = exp(-P log t)$, where P is a real $n \times n$ matrix whose eigenvalues has strictly positive real part. Let $\nu$ be the trace of P and $P^*$ denote the adjoint of pp. Suppose that $K$ is a function defined on $R^n$ such that $$\mid$K(x)$\mid$ \leq k($\mid$x$\mid$_Q)$ for a bounded and decreasing function $k(t) on R_+$ satisfying $k \diamond $\mid$\cdot$\mid$_Q \in \cup_{\varepsilon >0}L^1((1 + $\mid$x$\mid$)^\varepsilon dx)$ where $Q = \int_{0}^{\infty} exp(-tP^*) exp(-tP)$ dt and the norm $$\mid$\cdot$\mid$_Q$ stands for $$\mid$x$\mid$_Q = \sqrt{}, x \in R^n$. For $f \in L^1(R^n)$, define $mf(x) = sup_{t>0}$\mid$K_t * f(x)$\mid$$ where $K_t(X) = t^{-\nu}K(A_{1/t}^* x)$. Then we show that $m$ is a bounded operator of $L^1(R^n) into L^{1, \infty}(R^n)$.

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Robust Controller with Adaptation within the Boundary Layer Application to Nuclear Underwater Inspection Robot

  • Park, Gee-Yong;Yoon, Ji-Sup;Hong, Dong-Hee;Jeong, Jae-Hoo
    • Nuclear Engineering and Technology
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    • v.34 no.6
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    • pp.553-565
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    • 2002
  • In this paper, the robust control scheme with the improved control performance within the boundary layer is proposed. In the control scheme, the robust controller based on the traditional variable structure control method is modified to have the adaptation within the boundary layer. From this controller, the width of the boundary layer where the robust control input is smoothened out can be given by an appropriate value. But the improved control performance within the boundary layer can be achieved without the so-called control chattering because the role of adaptive control is to compensate for the uncovered portions of the robust control occurred from the continuous approximation within the boundary layer Simulation tests for circular navigation of an underwater wall-ranging robot developed for inspection of wall surfaces in the research reactor, TRIGA MARK III, confirm the performance improvement. Notational Conventions Vectors are written in boldface roman lower-case letters, e.g., x and y. Matrices are written in upper-case roman letters, e.g., G and B. And ∥.∥ means the Euclidean norm.