• 대한수학회논문집
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• 제16권2호
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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.

• 한국수학사학회지
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• 제18권4호
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• pp.101-112
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• 2005

에르디쉬(Erdos)는 수학 연구에 자신의 삶 자체를 모두 바친 20세기를 대표하는 세계적인 수학자이다. 그는 딴은 분야에 걸쳐 1500여 편에 이르는 수학 논문을 발표하였을 뿐만 아니라, 수학의 새로운 지평을 연 영향력 있는 수학자였다. 그는 확률이론을 적용하는 독창적인 방법을 제시하여 확률론적 방법론을 창안하였고, 그러한 방법론은 결국 랜덤 그래프 이론의 모태가 되었다. 본 논문은 천재 수학자, 하지만 다른 한편으로는 바보 같은 순수함을 지녔던 헝가리 출신의 수학자 에르디쉬의 삶을 살퍼보며, 21기에서의 그의 삶과 그의 학문적 업적이 지니는 의미와 가치를 생각하여 보고자 한다.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.331-338
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• 2006

The Paley-type inequalities for the complete convergence and lower and upper bounds in the Baum-Katz law of large numbers for i.i.d. random variables sequence are obtained. The results obtained generalize the result of Pruss [8].

• 대한약학회:학술대회논문집
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• 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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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)

• Journal of Pharmaceutical Investigation
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• 제33권3호
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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.

• 한국수학교육학회지시리즈A:수학교육
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• 제21권3호
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• pp.49-51
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• 1983

• 대한약학회:학술대회논문집
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• 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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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)

• 대한수학회지
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• 제57권6호
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• pp.1323-1333
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• 2020

In 2009, Borg [2] suggested a conjecture concerning the size of a t-intersecting k-uniform family of faces of an arbitrary simplicial complex. In this paper, we give a strengthening of Borg's conjecture for shifted simplicial complexes using algebraic shifting.

• 대한수학회논문집
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• 제17권2호
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• pp.215-220
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• 2002

Since P. Erdos introduced the concept of "subset-sum-distinctness", lots of mathematicians have been interested in a "dense" set having distinct subset sums. In this paper, we establish a couple of theorems on maximal subset-sun-distinct sequence with respect to the set inclusion.

• 한국항해항만학회지
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• 제36권7호
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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.