• 대한수학회논문집
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• 제15권3호
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• pp.549-553
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• 2000

For a continuous map of the circle to itself, we give necessary and sufficient conditions for the $\omega$-limit set of each nonwandering point to be minimal.

• Korean Journal of Mathematics
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• 제8권1호
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• pp.27-32
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• 2000

In this paper, we show that for any continuous map $f$ of the circle $S^1$ to itself, (1) $x{\in}{\Omega}(f){\backslash}\overline{R(f)}$, then $x$ is not a turning point of $f$ and (2) if $P(f)$ is non-empty, then $R(f)$ is closed if and only if $AP(f)$ is closed.

• East Asian mathematical journal
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• 제4권
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• pp.57-73
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• 1988

The subclasses S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) ($0\leqq\alpha<1,\;0<\beta\leqq1$ and $0\leqq\mu\leqq1$) of T the class of analytic and univalent functions of the form $$f(z)=z-\sum\limit^{\infty}_{n=2}\mid a_n\mid z^n$$ have been considered. Sharp results concerning coefficients, distortion of functions belonging to S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are determined along with a representation formula for the functions in S*($\alpha,\beta,\mu$). Furthermore, it is shown that the classes S*($\alpha,\beta,\mu$) and C*($\alpha,\beta,\mu$) are closed under arithmetic mean and convex linear combinations. Also in this paper, we find extreme points and support points for these classes.

• Journal of applied mathematics & informatics
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• 제5권3호
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• pp.615-632
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• 1998

Soliton solutions of a class of generalized nonlinear evo-lution equations are discussed analytically and numerically which is achieved using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical dolutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations. The characteristic behavior of the nonlinear-ity admitted in the system has been investigated and the soliton state of the system in the limit of $\alpha\;\longrightarrow\;0$ and $\alpha\;\longrightarrow\;\infty$ has been studied. The results presented show that soliton phenomena are character-istics associated with the nonlinearities of the dynamical systems.

• 한국수산과학회지
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• 제41권2호
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• pp.107-112
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• 2008

To evaluate uncertainty and risk in biological reference points, we applied a bootstrapping method and a Bayesian procedure to estimate the related confidence intervals. Here we provide an example of the maximum sustainable yield (MSY) of turban shell, Batillus cornutus, estimated by the Schaefer and Fox models. Fitting the time series of catch and effort from 1968 to 2006 showed that the Fox model performs better than the Schaefer model. The estimated MSY and its bootstrap percentile confidence interval (CI) at ${\alpha}=0.05$ were 1,680 (1,420-1,950) tons for the Fox model and 2,170 (1,860-2,500) tons for the Schaefer model. The CIs estimated by the Bayesian approach gave similar ranges: 1,710 (1,450-2,000) tons for the Fox model and 2,230 (1,760-2,930) tons for the Schaefer model. Because uncertainty in effort and catch data is believed to be greater for earlier years, we evaluated the influence of sequentially excluding old data points by varying the first year of the time series from 1968 to 1992 to run 'backward' bootstrap resampling. The results showed that the means and upper 2.5% confidence limit (CL) of MSY varied greatly depending on the first year chosen whereas the lower 2.5% CL was robust against the arbitrary selection of data, especially for the Schaefer model. We demonstrated that the bootstrap and Bayesian approach could be useful in precautionary fisheries management, and we advise that the lower 2.5% CL derived by the Fox model is robust and a better biological reference point for the turban shells of Jeju Island.

• 한국구조물진단유지관리공학회 논문집
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• 제17권6호
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• pp.130-137
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• 2013

본 연구는 실험계획법을 통하여 과산화수소로 발포된 석고 혼입 경량기포콘크리트로 통계적 분석을 실시하였다. 본 실험에서는 경량기포콘크리트를 구성하는 각 재료의 혼합비율을 실험인자로 설정하고, 실험을 통해 얻어진 반응변수에 대한 통계적 분석으로 역학적 특성을 평가 하였다. 실험인자는 석고혼입율, 물결합재비 및 발포제첨가비 이며, 반응변수는 겉보기밀도, 압축강도, 휨강도이다. 경량기포콘크리트의 배합은 반응표면설계의 Box-Behnken (B-B)계획법에 의해 총 15회의 실험점을 설정하였다. 본 연구결과 다음과 같은 결론을 얻었다. 반응변수에 대한 각 설명인자 (석고혼입율, 물결합재비, 발포제첨가비)의 유의확률값은 유의수준 ${\alpha}$=0.05에서 유의한 것으로 추정되었다. 경량기포콘크리트의 겉보기밀도에 대한 반응표면 분석 결과, 물결합재비 와 발포제첨가비만 유의 (${\alpha}$=0.05)한 것으로 추정되었으며, 겉보기밀도와 기포량 및 함수율과의 관계는 반비례함을 확인 알 수 있었다. 경량기포콘크리트의 압축강도에 대한 반응표면 분석 결과, 물결합재비, 발포제첨가비 및 발포제첨가비의 제곱항이 유의 (${\alpha}$=0.05)한 것으로 추정되었다. 경량기포콘크리트의 휨강도에 대한 반응표면 분석 결과, 물결합재비 와 발포제첨가비만 유의 (${\alpha}$=0.05)한 것으로 추정되었다. 다중 반응 최적법을 통해 반응변수들의 목표값을 만족하는 최적조건 영역을 확인할 수 있었다.

• 응용통계연구
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• 제27권4호
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• pp.645-653
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• 2014

p-값은 관측 표본과 관측 결과보다 심하게 대안가설의 방향으로 영가설을 이탈하는 표본들이 영가설 하에서 갖는 확률이다. p-값이 일정 ${\alpha}$(= 0:05)보다 작게 나타나면 연구자는 대안가설이 지지된 것으로 본다. 그런 경우라고 하더라도 그의 가설이 향후 연구에서 번복될 수 있는데 그 이유는 p-값이 표본에 따라 변동하는 통계량이기 때문이다. Boos와 Stefanski (2011)는 붓스트랩 방법으로 p-값의 예측분포를 구할 수 있음을 보였다. 그들은 그 분포의 상위 10-20% 분위수가 ${\alpha}$보다 작은가를 확인할 필요가 있음을 강조한다. 만약 그렇지 않은 경우에는 "지지"된 가설의 재현성이 문제될 수 있기 때문이다. 가설검정에서 일정 수준의 재현율을 확보하기 위해서는 표본의 증대가 요구된다. 이 연구는 k배 확대 붓스트랩 표본추출(boosted bootstrap sampling)로써 필요한 표본크기를 계산할 수 있음을 두 표본의 비교와 다중선형회귀의 수치 예에서 보인다. k 값을 정하기 위해서는 몇 차례 시행착오를 해야 하지만 계산적 부담은 크지 않다. 95% 신뢰구간은 독립적인 표본들로부터 같은 방식으로 산출되는 구간이 미지의 모수를 포함할 확률이 95%가 되도록 설정된다. 이 연구는 한 관측표본으로부터 얻어진 95% 신뢰구간 내 개별 점이 미래 연구의 신뢰구간에도 포함될 것인지 그 재현성을 붓스트랩 재표본들에서 평가한다. 이 연구는 개별 점에서 산출한 신뢰구간 재현율을 그래프로 보인다.

• 한국물환경학회지
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• 제23권2호
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• pp.201-205
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• 2007

This paper reports the amount of $^{222}Rn$ and $^{238}U$ in 18 sites of ground water and 30 sites of surface water. The instrument used to count $^{222}Rn$ activity was the liquid scintillation counter (LSC) which could resolute ${\alpha}$ and ${\beta}$ radiations. And $^{238}U$ was analyzed by the inductively coupled plasma (ICP). Radon and Uranium were not detected in raw and treated water which were sampled in a water treatment plant. However, radon ($^{222}Rn$) was high concentration in ground water from Jeon-la, Gang-won. So was uranium ($^{238}U$) in case of ground water from Gang-won, Choong-chung. Radon ($^{222}Rn$) activities were detected less than 15 pCi/L at 5 sampling points, 15~300 pCi/L at 7 sampling points, 300~4000 pCi/L at 6 sampling points. However, Radon ($^{222}Rn$) activities of all ground water samples were less than 4,000 pCi/L, which was bellow American Alternative Maximum Contamination Level (AMCL). Uranium ($^{238}U$) concentrations were less than $0.1{\mu}g/L$ at 5 sampling points, from $0.1{\mu}g/L$ to $20{\mu}g/L$ at 13 sampling points. Uranium was not detected in about 30% of the whole samples, but the concentration ranged from relatively low to high concentrations depending on the sampling point. The minimum detectable activity (MDA) of radon was 15 pCi/L. and the detection limit of uranium was $0.1{\mu}g/L$.

• 한국환경복원기술학회지
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• 제7권4호
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• pp.52-60
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• 2004

In order to analysis of the water pollution of the Anyang stream(one of the biggest branch streams of the Han River) and its main tributaries, the geological and topographical and rainfall features in its basin were investigated. To do this, the water samples were collected 23 points of the upper, mid and down of Anyang stream and its tributaries and were analyzed based on the chemical methods, Korean Biotic Index(KBI) and Saprobien systems. The Anyang stream basin has a characteristic of topographical torrential heavy rainfall like a typical rainfall feature in Korea. The concentration and the outflow rate of rainfall is very different in seasonal, and water pollution in dry season is especially severe. After 1997, although the water quality status of stream has been improved gradually, the concentration of T-N and SS at the upstream is increased due to the deficiency of facility used for collecting wastewater released from industrial factories, livestock farms and residential areas. The mainstream of the Anyang stream is classified into the 5th grade water as polysaprobic water area according to Saprobien system and the biotic index is over 2.5 in overall. Most of tributaries have 1~3 grade water limit with ${\alpha}$- and ${\beta}$-mesosaprobic except the upper and mid streams of Samsung tributary, in which pollution status is the lowest part. Though Sambong tributary is ${\alpha}$-mesosaproboic, biotic index is low because of the appearance of abundant benthos animals in farming and fishing villages.

• 대한한의학회지
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• 제19권1호
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• pp.299-326
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• 1998

1. Comparison of demand and supply A. Assumption of estimation of demand and supply we will briefly assumptions used for presumption once more before comparing the result of estimation of demand and supply examined previously 1) supply - The average applying rate for state. examination of graduate: ${\alpha}$=1.03109 - The ratio of successful applicants of state examinations: ${\beta}$=0.97091 - Mortality classified by age : presumed data of the Bureau of statistics - Emigrating rate: 0 % - Time of retire: unconsidered - An army doctor number: unconsidered and regard number of employed oriental medicine doctor. - Standard of 1995 : The number of survival oriental medicine doctor is 8195. the number of employed oriental medicine doctor is 7419. 2) demand - derivated demand method Daily the average amount of medical treatment: according to medical insurance federation data. there is 16 or 6 non allowance patient, we consider amount of medical treatment as 22 persons in practical because 21.94 persons (founded practical examination) are converted to allowance in comming demand. Daily the proper amount of medical treatment: 7 hours form -35 persons 5 hours 30 minutes form -28 persons. Yearly medical treatment days: 229 days. 255 days. 269 days . Increasing rate of visiting hospital days: -1996 year. 1997 year. 1998 year- . Rate of applying insurance: yearly average 71.51% (among the investigated patient) B. Comparison of total sum result 1) supply (provision) Table Ⅳ-1 below shows the estimation of the oriental medicine doctor in the future.