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Lq-ESTIMATES OF MAXIMAL OPERATORS ON THE p-ADIC VECTOR SPACE

  • Kim, Yong-Cheol
    • Communications of the Korean Mathematical Society
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    • v.24 no.3
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    • pp.367-379
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    • 2009
  • For a prime number p, let $\mathbb{Q}_p$ denote the p-adic field and let $\mathbb{Q}_p^d$ denote a vector space over $\mathbb{Q}_p$ which consists of all d-tuples of $\mathbb{Q}_p$. For a function f ${\in}L_{loc}^1(\mathbb{Q}_p^d)$, we define the Hardy-Littlewood maximal function of f on $\mathbb{Q}_p^d$ by $$M_pf(x)=sup\frac{1}{\gamma{\in}\mathbb{Z}|B_{\gamma}(x)|H}{\int}_{B\gamma(x)}|f(y)|dy$$, where |E|$_H$ denotes the Haar measure of a measurable subset E of $\mathbb{Q}_p^d$ and $B_\gamma(x)$ denotes the p-adic ball with center x ${\in}\;\mathbb{Q}_p^d$ and radius $p^\gamma$. If 1 < q $\leq\;\infty$, then we prove that $M_p$ is a bounded operator of $L^q(\mathbb{Q}_p^d)$ into $L^q(\mathbb{Q}_p^d)$; moreover, $M_p$ is of weak type (1, 1) on $L^1(\mathbb{Q}_p^d)$, that is to say, |{$x{\in}\mathbb{Q}_p^d:|M_pf(x)|$>$\lambda$}|$_H{\leq}\frac{p^d}{\lambda}||f||_{L^1(\mathbb{Q}_p^d)},\;\lambda$ > 0 for any f ${\in}L^1(\mathbb{Q}_p^d)$.

On Generalized Integral Operator Based on Salagean Operator

  • Al-Kharsani, Huda Abdullah
    • Kyungpook Mathematical Journal
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    • v.48 no.3
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    • pp.359-366
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    • 2008
  • Let A(p) be the class of functions $f\;:\;z^p\;+\;\sum\limits_{j=1}^{\infty}a_jz^{p+j}$ analytic in the open unit disc E. Let, for any integer n > -p, $f_{n+p-1}(z)\;=\;z^p+\sum\limits_{j=1}^{\infty}(p+j)^{n+p-1}z^{p+j}$. We define $f_{n+p-1}^{(-1)}(z)$ by using convolution * as $f_{n+p-1}\;*\;f_{n+p-1}^{-1}=\frac{z^p}{(1-z)^{n+p}$. A function p, analytic in E with p(0) = 1, is in the class $P_k(\rho)$ if ${\int}_0^{2\pi}\|\frac{Re\;p(z)-\rho}{p-\rho}\|\;d\theta\;\leq\;k{\pi}$, where $z=re^{i\theta}$, $k\;\geq\;2$ and $0\;{\leq}\;\rho\;{\leq}\;p$. We use the class $P_k(\rho)$ to introduce a new class of multivalent analytic functions and define an integral operator $L_{n+p-1}(f)\;\;=\;f_{n+p-1}^{-1}\;*\;f$ for f(z) belonging to this class. We derive some interesting properties of this generalized integral operator which include inclusion results and radius problems.

Balance-Swap Optimization of Economic Load Dispatch Problem using Quadratic Fuel Cost Function (이차 발전비용함수를 사용한 경제급전문제의 균형-교환 최적화)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.4
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    • pp.243-250
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    • 2014
  • In this paper, I devise a balance-swap optimization (BSO) algorithm to solve economic load dispatch with a quadratic fuel cost function. This algorithm firstly sets initial values to $P_i{\leftarrow}P_i^{max}$, (${\Sigma}P_i^{max}$ > $P_d$) and subsequently entails two major processes: a balance process whereby a generator's power i of $_{max}\{F(P_i)-F(P_i-{\alpha})\}$, ${\alpha}=_{min}(P_i-P_i^{min})$ is balanced by $P_i{\leftarrow}P_i-{\alpha}$ until ${\Sigma}P_i=P_d$; and a swap process whereby $_{max}\{F(P_i)-F(P_i-{\beta})\}$ > $_{min}\{F(P_i+{{\beta})-F(P_j)\}$, $i{\neq}j$, ${\beta}$ = 1.0, 0.1, 0.1, 0.01, 0.001 is set at $P_i{\leftarrow}P_i-{\beta}$, $P_j{\leftarrow}P_j+{\beta}$. When applied to 15, 20, and 38-generators benchmark data, this simple algorithm has proven to consistently yield the best possible results. Moreover, this algorithm has dramatically reduced the costs for a centralized operation of 73-generators - a sum of the three benchmark cases - which could otherwise have been impossible for independent operations.

Antigenotoxicity of Ginseng Petroleum Ether Extract and its Action Mechanism (인삼 지용성성분인 유전독성억제효과와 작용기전)

  • 허문영
    • Journal of Food Hygiene and Safety
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    • v.13 no.3
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    • pp.243-251
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    • 1998
  • Panax ginseng C.A. Meyer has been extensively used in the traditional oriental medicine as a restorative, tonic and prophylatic agent. Petroleum ether extract of panax ginseng C.A. Meyer (GPE) and its several fractions (PI-P5) were tested for the evaluation of antigenotoxicity against N-methyl-N-nitrosourea (MNU) and benzo(a)pyrene [B(a)P]-induced micronucleated reticulocytes in mouse peripheral blood. GPE and P2 showed more significant anticlastogenicity than other fractions did. To elucidate the anticlastogenic action mechanism of GPE and P2 against B(a)P, the alteration of B(a)P metabolism was studied. GPE and P2 inhibited B(a)P metabolism in the presence of 8-9 mix and decreased B(a)P-DNA binding in calf thymus DNA with 8-9 mix. They also decreased [$^3H$] MNU induced DNA binding and methylation to 7-methyl guanine and $O^{6}-methyl$ guanine adducts in calf thymus DNA by RPLC analysis. These results suggest that the anticlastogenicity of GPE and P2 on the B(a)P or MNU-induced clastogenicity is due to decrease of DNA binding with B(a)P or MNU, the inhibition of metabolism with B(a)P and the inhibition of methylation in DNA. Therefore, GPE and P2 may be useful chemopreventive agents of alkylating agent like MNU and secondary carcinogen like B(a)P.

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Characterization of the bacteriophage P4 sid+ derivative overcoming P2sir-associated helper inefficiency through DNA conformational adaptation (DNA 형태 적응을 거쳐 P2sir-관련 도움파지 비효율성을 극복하는 박테리오파지 P4 sid+ 유도체 정성 연구)

  • Kim, Kyoung-Jin
    • Korean Journal of Microbiology
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    • v.52 no.1
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    • pp.120-124
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    • 2016
  • A certain size of DNA (28-29 kb long) to be packaged into P2-size head and the mutation in sid gene of bacteriophage P4 are the major factors to overcome "P2 sir-associated helper inefficiency". To clarify whether the presence of sid mutation is essential to overcome "P2 sir-associated helper inefficiency" or not, we tested the P4 derivative, P4 delRI::kmr, which is $sid^+$ and whose genome size supposed to be 28.5 kb long in the case of being packaged into $P2_{sir3}$-sized large head. As P4 delRI::kmr showed the low EOP with P2 sir3 lysogen, P4 delRI::kmr phage stock was prepared in P2 sir3 lysogen host to increase the EOP with P2 sir3 lysogen. Through this process, P4 delRI::kmr had been adapted for P2 sir3 lysogen. With a CsCl buoyant equilibrium density gradient experiment and gel electrophoresis of the isolated DNA, it was evident that the adaptation of P4 delRI::kmr for P2 sir3 lysogen was caused by the conformational change of DNA to be packaged into large head. The burst size determination experiments with P4 delRI::kmr phage stock adapted for P2 sir3 lysogen and normal P4 delRI::kmr phage stock showed that not the sid mutation but the size of DNA to be packaged (28-29 kb long) was essential to overcome "P2 sir-associated helper inefficiency".

Free Amino Acid Composition of Tap Root in Panax species (종별 동체 유리아미노산)

  • Lee, Mee-Kyoung;Park, Hoon
    • Journal of Ginseng Research
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    • v.20 no.3
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    • pp.291-298
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    • 1996
  • Free amino acid (FAA) compositions in the central part (pith-xylem : P-X) and the outer part (phloem-cortex : P-C) of root were investigated for P ginseng (P.g), p. quinque-folium (P.q) an, B P nutoginsen (P.n) by an amino acid analyzer. Total free amlno acids content (TFAA) was highest in p.맥 and lowest in p.n. The TFAA of P-Xs were higher than those of P-Cs in these Panax species except p.n. The higher the TFAA in P-X, the higher the ratio of TFAA in P-X to that in P-C. Seven- teen free amino acids and ammonia were identified, and four unknown peaks appeared before the usual amino acids eluted. The total aspartic acid equivalent of these unknown peaks was corresponded to 77% of known TFAA in P-C of p.n, 17% in P. n, and 7% in p.q. The pattern of unknown peaks of p.g was different from p.q and similar to P.n. In all samples six major amino acids and ammonia accounted for 90~95% of TFAA. Arginine was comprised from 29% (P.n) to 43% (P.g) by amole as amino acid and from 50 to 71% by amole as nitrogen (N amole) in TFAA. Ammonia was the second abundant one by amole and the third by Npmole. Histidine was the second by Npmole. Praline was one of major FAA in p.q. Pattern similarity of FAA composition (excluding Arg and Am) by simple correlation was closer between P-C of p.g and P-X of p.q than between both P-Xs and quite different between the P-X of p.g and that of p.n. The pattern similarities of major FAA percent abundance excluding Arg and Am were significant only between P-X and P-C of the same species. Arginine content (amole) had positive correlation (r=0.859, p=0.05) with Arg/Am among species. Ammonia content was higher than arginine in p.n. Tryptophan content was greatest in p.n among species and higher than lysine only in p.n. The ratios of TFAA to N(W/W) were in the range of 3.89~4.14 for TFAA and 3.61~3.92 for TFAA plus ammonia.

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Effects of Planting Soil on the Soil Moisture and the Growth of Vitex rotundifolia for Green Roof (옥상녹화 식재지반이 토양수분과 순비기나무의 생육에 미치는 영향)

  • Park, Jun-Suk;Park, Je-Hea;Ju, Jin-Hee;Yoon, Yong-Han
    • Journal of the Korean Institute of Landscape Architecture
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    • v.38 no.3
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    • pp.98-106
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    • 2010
  • This study focuses on the appropriate planting soil for Vitex rotundifolia by planting soil. Different soil depth levels were achieved at 15cm and 25cm in the green roof module system that was created with woody materials for a $500{\times}500{\times}300mm$ area. The soil mixture ratio was $S_{10}$, $L_{10}$, $S_7L_3$, $S_5L_5$, $P_7P_1L_2$, $P_6P_2L_2$, $P_5P_3L_2$ and $P_4P_4L_2$. This study was carried out over five months between April and September, 2006. The amount of soil moisture tends to decrease according to the planting soil. For the experimental items $S_{10}$, $S_7L_3$ and $S_5L_5$, the amount of soil moisture tends to decrease rapidly. However, for the experimental items $P_7P_1L_2$, $P_6P_2L_2$, $P_5P_3L_2$ and $P_4P_4L_2$, conditions containing perlite and peat moss, the amount of moisture tends to decrease more gradually. As a result, the use of soil-improving amending for the afforestation planting of roofs with a low level of management is need. After experimenting with the ratio of soil mixture for Vitex rotundifolia, the planting soil for experimental item $P_6P_2L_2$, $P_5P_3L_2$ and $P_4P_4L_2$ appeared excellent. For experimental item $S_{10}$, the growth of Vitex rotundifolia seemed to be weaker than that of others, because of the low levels of moisture and organic matter in the soil. For experimental item $L_{10}$, there appeared to be a low level of growth, even when the levels of moisture and organic matter were high. This may have occurred because of the low level of soil pH and the excessive amount of exchangeable cation. At the depth of 25cm, the growth of Vitex rotundifolia is vigorous overall. For experimental item at 15cm, Vitex rotundifolia was able to survive for 14 days without any rainfall and Vitex rotundifolia was better in amended soil, $P_6P_2L_2$, $P_5P_3L_2$ and $P_4P_4L_2$, than natural soil, SL.

Identification of Seed-borne Penicillium spp. on Gramineae Crops Based on Morphological Characteristics (형태적 특성에 의한 벼과작물 종자전염 Penicillium spp.의 동정)

  • Kim, Min-Kyung;Hyun, Ik-Hwa;Kim, Jin-Won
    • The Korean Journal of Mycology
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    • v.33 no.2
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    • pp.81-85
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    • 2005
  • A total of 81 isolates of Penicillium were isolated from postharvest seeds of barely, Job's-tears, maize, sorghum and rice from 1997 to 2003. Based on the morphological characteristics, they were identified as P. chrysogenum, P. citrinum, P. cyclopium, P. oxalicum, P. polonicum, P. purpurogenum and P. viridicatum. P. chrysogenum was detected from Job's-tears, rice and sorghum seeds, P. citrinum from maize seeds, P. cyclopium from sorghum seeds, P. oxalicum from barely, maize, sorghum and rice seeds, P. purpurgenum from maize, rice, sorghum seeds, P. viridicatum from Job's-tears, maize and rice seeds, P. polonicum from Job's-tears, maize, rice and sorghum seeds. Among these species, P. cyclopium, P. polonicum and P. purpurogenum were first reported in Korea. Especially, about 50% of the Penicillium isolates detected from the seeds were P. polonicum. Identification of the Penicillium species using morphological characteristics was difficult especially for the species belonging to the subgenus Penicillium such as P. polonicum.

A Study on the Possibility of Applying Peer-to-Peer(P2P) Model to e-Business (P2P(peer-to-peer) 모델의 e비즈니스 적용 가능성에 관한 연구)

  • Moon, Hyung-Nam
    • International Commerce and Information Review
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    • v.6 no.3
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    • pp.63-79
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    • 2004
  • Peer-to-peer(P2P) has potential strength and possible factors which enable it to develop toward a new business by supplementing the limitation of the existing central server-type network. In various business sectors, various attempts have already been made to apply P2P. The computing power which was possible to be formed through peer-to-peer networking will become a powerful tools for expanding toward new business area depending the utilization methods by sector. Although the technology-centric P2P concept is a major interest now, its development direction will head toward service-centric P2P concept for satisfying desires of end-users(individual peers) for reliable contents and improving their purchasing convenience. But the solution requisites should be solved for the efficient application of P2P to business such as the establishment of and supplement for the industrial standard and legal system for P2P, the enhancement of peers recognition of P2P. Presently e-commerce using P2P is being implemented by a few enterprises locally by means of B2C. But if many enterprises enter this type of e-commerce, and the standardization of peer programmes, goods and documents is made, it will be able to be extended to B2B. Also it seems that it can be utilized in international transactions as well as in domestic transactions. So there is much room for the application of P2P to be extended further. Also there has been presented the necessity for related industries to support their work with theories and for academic studies to be made actively to set the direction of its development. It is hoped that multi-angled and in-depth studies on the utilization of P2P and various attempts to application of it to business be made on the basis of this study. For the development of P2P, continuous study and attempts are needed. The field of P2Ps application is very large and it will become a powerful tool, depending upon its application methods.

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Health-related Factors and Nutritional Status in Shift-workers at Coffee Shops - Focused on Single Women in Twenties in Seoul - (커피전문점 교대근로자의 건강관련요인과 영양상태 조사 - 서울지역 20대 미혼여성을 중심으로 -)

  • Lee, Seung-Lim;Kim, Soo-Jin
    • Korean Journal of Community Nutrition
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    • v.18 no.5
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    • pp.467-477
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    • 2013
  • This study examined the health-related factors and nutritional status of 89 single women workers in their 20's who work night and day shift at the take-out coffee shops and the 89 single women office workers. The results of the study are summarized as follows: The shift-workers showed lower rate of office tenure (p < 0.001), income (p < 0.001), job satisfaction (p < 0.05), weight (p < 0.05), and higher rate of weight change (p < 0.001) than the non shift-workers. The shift-workers showed lower rate of of exercise (p < 0.001), sleeping hours (p < 0.01), and good health condition (p < 0.01), and higher rates of smoking (p < 0.001), presence of disease (p < 0.001), gastric and intestinal illnesses (p < 0.001) than the non shift-workers. More than 88.8% of the shift workers answered that they ate alone (p < 0.001). The shift workers showed lower rate of regularity of meal (p < 0.001), balanced diet (p < 0.001), and mealtime (p < 0.001), and higher rate of skipping breakfast (p < 0.001), consumption of salty and spicy food (p < 0.001), and overeating (p < 0.01) than the non shift-workers. The shift workers consumed (p < 0.001) less frequently rice, soup and side dishes, and more frequently noodles and snack, bread than the non-shift-workers. The shift workers showed lower rate of consumption of beer (p < 0.01), and higher rate of consumption of coffee (p < 0.001), tea (p < 0.01) and soju (p < 0.001) in once a week or more intakes than the non-shift-workers. The shift workers showed higher rate of consumption of carbohydrates (p < 0.05), and calcium (p < 0.05) and lower rate of consumption of protein (p < 0.05), fiber (p < 0.05), vitamin C (p < 0.05), and folate (p < 0.05) intakes than the non-shift-workers.