• Title/Summary/Keyword: Erdos

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Erdos-Renyi 법칙과 Gauss 과정의 극한이론

  • 최용갑
    • Communications of the Korean Mathematical Society
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    • v.16 no.2
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    • pp.163-204
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    • 2001
  • 먼저 Erdos-Renyi의 새로운 강대수 법칙을 소개하고, 여러 가지 형태로 발전된 Erdos-Renyi 형의 법칙과 그 응용을 보여준다. 보다 더 일반적인 Erdos-Renyi형의 법칙과 그 응용을 보여준다. 보다 더 일반적인 Erdos-Renyi 형 법칙을 찾기 위해 Csorgo-Revesz 증분형태의 극한정리들을 소개하여 종속 mixing 조건이 주어진 정상 Gauss 확률변수들의 부분합에 대해 Csorgo-Revesz 증분형태의 새로운 극한정리들을 얻는다. 끝으로, 유한차원 벡터공간, ι(sup)p-공간, ι(sup)$\infty$-공간에서 각각 값을 갖는, 연속 Gauss 과정에 대해서 필자에 의해 최근에 발표된 몇 편의 논문을 소개한다.

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Paul Erdos and Probabilistic Methods (폴 에르디쉬와 확률론적 방법론)

  • Koh, Young-Mee;Ree, Sang-Wook
    • Journal for History of Mathematics
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    • v.18 no.4
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    • pp.101-112
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    • 2005
  • In this article, we introduce a generous but eccentric genius in mathematics, Paul Erdos. He invented probabilistic methods, pioneered in their applications to discrete mathematics, and estabilshed new theories, which are regarded as the greatest among his contributions to mathematical world. Here we introduce the probabilistic methods and random graph theory developed by Erdos and look at his life in glance with great respect for him.

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In vitro and in vivo evaluation of erdosteine capsule

  • Shon, Hee-Kyoung;Park, Young-Joon;Choi, Yong-Gak;Kang , Heu-Ill
    • Proceedings of the PSK Conference
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    • 2003.10b
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    • pp.228.1-228.1
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    • 2003
  • Purpose. The purpose of this study is to compare in vitro dissolution characteristics and bioavailability in beagle dog of a hard gelatine capsule containing erdosteine (Yuhan Erdosteine capsule$\^$TM/) with those of commercial product (Erdos capsule$\^$TM/). Methods. Yuhan Erdosteine capsule$\^$TM/ was prepared using erdosteine 300 mg, lactose, magnesium stearate, and others by powder filling method. The dissolution characteristics of Yuhan Erdosteine capsule$\^$TM/ and Erdos capsule$\^$TM/ were determined by USP dissolution apparatus 2. (omitted)

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Bioequivalence of Erblon Capsule to Erdos Capsule (Erdosteine 300 mg) (엘도스 캡슐(에르도스테인 300 mg)에 대한 엘브론 캡슐의 생물학적 동등성)

  • Cho, Hea-Young;Lee, Suk;Kang, Hyun-Ah;Moon, Jai-Dong;Lee, Yong-Bok
    • Journal of Pharmaceutical Investigation
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    • v.33 no.3
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    • pp.237-243
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    • 2003
  • Erdosteine, the thiol derivatives chemically related to cysteine, is a mucolytic and mucoregulator agent which modulates mucus production and viscosity and increases mucociliary transport. The purpose of the present study was to evaluate the bioequivalence of two erdosteine capsules, Erdos (Dae Woong Pharmaceutical Co., Korea) and Erblon (Kuhn Il Pharmaceutical Co., Korea), according to the guidelines of Korea Food and Drug Administration (KFDA). The erdosteine release from the two erdosteine capsules in vitro was tested using KP VII Apparatus II method with various different kinds of dissolution media (pH 1.2, 4.0, 6.8 buffer solution and water). Twenty four healthy male subjects, $23.33{\pm}2.06$ years in age and $66.18{\pm}8.19\;kg$ in body weight, were divided into two groups and a randomized $2{\times}2$ cross-over study was employed. After three capsules containing 300 mg as erdosteine were orally administered, blood was taken at predetermined time intervals and the concentations of erdosteine in serum were determined using HPLC method with UV detector. The dissolution profiles of two formulations were similar at all dissolution media. Besides, the pharmacokinetic parameters such as $AUC_t,\;C_{max}\;and\;T_{max}$ were calculated and ANOVA test was utilized for the statistical analysis of the parameters using logarithmically transformed $AUC_t\;and\;C_{max}$ and untransformed $T_{max}$. The results showed that the differences between two formulations based on the Erdos were 0.20%, 1.10% and -9.44% for $AUC_t,\;C_{max}\;and\;T_{max}$, respectively. There were no sequence effects between two formulations in these parameters. The 90% confidence intervals using logarithmically transformed data were within the acceptance range of log(0.8) to log(1.25) $(e.g.,\;log(0.94){\sim}log(1.22)\;and\;log(0.92){\sim}log(1.20)\;for\;AUC_t\;and\;C_{max},\;respectively$. Thus, the criteria of the KFDA guidelines for the bioequivalence was satisfied, indicating Erblon capsule and Erdos capsule are bioequivalent.

Bioequivalence of $Ersteine^{TM}$ Capsule to $Erdos^{TM}$ Capsule(Erdosteine 300 mg)

  • Ha, Yong-Hwa;Cho, Sung-Hee;Hong, Sung-Je;Lee, Heon-Woo;Seo, Seong-Hoon;Rew, Jae-Hwan;Lee, Kyung-Tae
    • Proceedings of the PSK Conference
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    • 2003.10b
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    • pp.242.2-242.1
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    • 2003
  • The purpose of the present study was to evaluate the bioequivalence of two Erdosteine capsules, $Erdos^{TM}$(Dae Woong Pharmaceutical Co., Ltd.) and $Ersteine^{TM}$(Dae Won Pharmaceutical Co., Ltd.), according to the guidelines of Korea Food and Drug Administration (KFDA). Twenty-four normal male volunteers,23.88 ${\pm}$2.89 year in age and 68.50 ${\pm}$ 7.71 kg in body weight, were divided into two groups and radkomied 2${\times}$2 cross-over study was empolyed. Ater three capsules containing 300 mg of erdosteine per capsule were orally administered, blood was taken at predetermined time intervals and concentrations of erdostene I in plasma were determined using HPLC. (omitted)

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A Study on Model of Regional Logistics Requirements Prediction

  • Lu, Bo;Park, Nam-Kyu
    • Journal of Navigation and Port Research
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    • v.36 no.7
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    • pp.553-559
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    • 2012
  • It is extremely important to predict the logistics requirements in a scientific and rational way. However, in recent years, the improvement effect on the prediction method is not very significant and the traditional statistical prediction method has the defects of low precision and poor interpretation of the prediction model, which cannot only guarantee the generalization ability of the prediction model theoretically, but also cannot explain the models effectively. Therefore, in combination with the theories of the spatial economics, industrial economics, and neo-classical economics, taking city of Erdos as the research object, the study identifies the leading industry that can produce a large number of cargoes, and further predicts the static logistics generation of the Erdos and hinterlands. By integrating various factors that can affect the regional logistics requirements, this study established a logistics requirements potential model from the aspect of spatial economic principles, and expanded the way of logistics requirements prediction from the single statistical principles to an new area of special and regional economics.