• 제목/요약/키워드: Mean first passage time

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2모드 색소레이저 출력의 switching과 First-Passage-Time(FPT) 분포 (Switching and first-passage-time distributions in a two-mode ring dye laser)

  • 박구동;신종태;김태수
    • 한국광학회지
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    • 제5권2호
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    • pp.245-251
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    • 1994
  • 고리형 공진기의 색소레이저에서 시계방향 모드와 반시계 방향 모드 사이에 나타나는 switching 현상을 펌프 매개변수 a, 폄프요동의 세기 Q 및 진동수폭 등을 변화시켜 Monte Carlo 방법으로 수치 계산하여 고찰하였다. 덧셈형 noise만 고려할 때와 이 noise에다 여기요동을 나타내는 곱셈형 색 noise를 포함시켰을 때 FPT분포에 미치는 영향을 조사하였다. 두 경우에 있어서 FTP의 분포는 짧은 시간영역에서는 0에서 상승하여 최대값에 도달하고, 긴 시간영역에서는 지수함수적으로 감소하는 경향은 같았으나 덧셈의 noise만 존재할 때에 비하여 곱셈의 색 noise가 포함될 때는 FPT가 감소하였다. 한편, 평균 FTP는 펌프매개변수 a의 증가와 더불어 증대하였으며 곱셈형 noise의 세기Q 및 진동수폭 $\GAMMA$가 증가할 때는 감소함을 알 수 있었다.

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On Convergence in p-Mean of Randomly Indexed Partial Sums and Some First Passage Times for Random Variables Which Are Dependent or Non-identically Distributed

  • Hong, Dug-Hun
    • Journal of the Korean Statistical Society
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    • 제25권2호
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    • pp.175-183
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    • 1996
  • Let $S_n,n$ = 1, 2,... denote the partial sums of not necessarily in-dependent random variables. Let N(c) = min${ n ; S_n > c}$, c $\geq$ 0. Theorem 2 states that N (c), (suitably normalized), tends to 0 in p-mean, 1 $\leq$ p < 2, as c longrightarrow $\infty$ under mild conditions, which generalizes earlier result by Gut(1974). The proof follows by applying Theorem 1, which generalizes the known result $E$\mid$S_n$\mid$^p$ = o(n), 0 < p< 2, as n .rarw..inf. to randomly indexed partial sums.

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직립방파제의 케이슨 활동에 대한 확률과정에 기반한 시간의존 신뢰성 설계법 개발 (Development of Time-Dependent Reliability-Based Design Method Based on Stochastic Process on Caisson Sliding of Vertical Breakwater)

  • 김승우;천세현;서경덕
    • 한국해안·해양공학회논문집
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    • 제24권5호
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    • pp.305-318
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    • 2012
  • 직립 케이슨 방파제에 대한 기존의 성능설계법은 임의의 시간 동안의 평균활동량을 산정하지만 허용활동량을 최초로 초과하는 사건의 발생확률(최초통과확률)은 계산하지 못한다. 설계자는 구조물이 최초로 피해를 입을 확률에 대한 정보를 구조물의 설계 단계뿐 아니라 관리 및 운영에서도 필요로 한다. 따라서 본 연구에서는 케이슨 활동의 최초통과확률을 산정하기 위해 확률과정에 기반한 시간의존 신뢰성 설계법을 개발하였다. 방파제의 활동을 일으키는 폭풍파는 발생 시간과 강도의 임의성의 특징이 있기 때문에 Poisson spike process를 사용하여 케이슨 활동을 정식화할 수 있다. 여기서 방파제의 활동을 일으키는 폭풍파의 발생률은 활동량분포함수와 폭풍파의 평균발생률로 표현된다. 성능설계법으로 모의된 이들은 설계변수들의 다변량 회귀함수로 나타내진다. 결과적으로 활동량분포함수와 폭풍파의 평균발생률은 유의파고, 케이슨 폭, 수심의 함수로 표현되어 케이슨 활동에 대한 최초통과확률을 손쉽게 산정할 수 있다.

지역 거점도시 식별 및 상호작용에 따른 영향권역 설정에 관한 연구 (A study on the identification of hub cities and delineation of their catchment areas based on regional interactions)

  • 김도형;우명제
    • 국토계획
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    • 제53권7호
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    • pp.5-22
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    • 2018
  • While the competitiveness of small and medium sized cities has become important for balanced development at the national scale, they have experienced continuous decline in population and employment, particularly those in non-capital regions. In addition, some of small and medium sized cities have been classified into shrinking cities that have declined due to their long-term structural reasons. To address these issues, a regional approach, by which a hub city and its surrounding small and medium sized cities can collaborate has been suggested. Given this background, the purpose of this study is to identify and delineate hub cities and their impact areas by using travel data as a functional network index. This study uses a centrality index to identify the hub cities of small and medium sized cities and Markov-chain model and cluster analysis to delineate regional boundaries. The mean first passage time (MFPT) generated from the Markov-chain model can be interpreted as functional distance of each region. The study suggests a methodological approach delineating the boundaries of regions incorporating functional relationships of hub cities and their impact areas, and provides 59 hub cities and their impact areas. The results also provide policy implications for regional spatial planning that addresses appropriate planning boundaries of regions for enhancing the economic competitiveness of small and medium sized cities and ensuring services for shrinking cities.

Assessment of GCM and Scenario Uncertainties under Future Climate Change Conditions

  • Jang, S.;Hwang, M.;Park, J.;Lim, K.
    • 국제학술발표논문집
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    • The 6th International Conference on Construction Engineering and Project Management
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    • pp.658-659
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    • 2015
  • GCM and scenario uncertainties are first investigated for 5 major watersheds (Han River, Paldang dam, Namhan River, Bukhan River and Imjin River watersheds). As a result of this study, it is found that CCSM3-based annual precipitation increases linearly with respect to the 10-year moving average values while CSIRO-based precipitation does not show much of trend. The results from annual DJF mean precipitation show a similar trend with respect to their 10-year moving average values. Both CCSM3- and CSIRO-based annual JJA mean precipitation do not show much of trend toward 21st century. In general, CCSM3-based precipitation values are slightly higher than CSIRO-based values with respect to their annual and annual JJA mean precipitation values, but CSIRO-based annual DJF mean precipitation values are slightly higher than CCSM3-based values. In case of mean air temperature between CCSM3 and CSIRO during 21st century, all of results show a clear trend in warming with the passage of time for 5 watersheds. However the upward trends from CCSM3-based values slow down toward end of 21stcentury while CSRIO-based values increases almost linearly.

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해상 교통량의 효율적 관리 방안에 관하여 (II) - 일반 수로의 경우 - (A Study on Optimum Control of Marine Traffic(II) - In the Domain of Passage -)

  • 윤명오;이철영
    • 한국항해학회지
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    • 제15권3호
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    • pp.1-11
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    • 1991
  • As increasing needs of marine transportation , world merchant fleet and ship's size were enlarged and it caused frequent disasters in human lives and natural environment. By the reason of the above, they started to establish the Vessel Traffic System (VTS) at the European coast in 1960' and most of advanced contries established and managed it to prevent the sea traffic accidents in these days. The concept of traffic control at sea can be divided into three types. First, the initial gathering of informations about ship's identity and movement etc.. Second, monitoring of the traffic flow and amendment of instructions. Third , organization and direction of ships by allocating routes and speeds. Where the goal of traffic control is safety of traffics and developing effectiveness of navigation channel, if traffic volume is less tan channel capacity then the above first or second level of control would be sufficient but if it is bigger than that , more positive policy of control should be adopted as same as third type of the above. In this paper where the strategy of VTS is focused on the control of traffic density to be spread equality, as possible , all over the navigation channels and also improvement of effectiveness , it suggests algorithm to assign the vessels to the channels with balanced traffic density , and other algorithms using D.P. to sequence the vessels assigned to one channel in optimum order which decreases the mean waiting time in sense of channel effectiveness with numerical examples.

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역통계 방법론을 이용한 한반도의 강수 특성 분석 (Analysis of the Korean peninsula precipitation using inverse statistics methodology)

  • 민승식
    • 응용통계연구
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    • 제29권3호
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    • pp.425-435
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    • 2016
  • 본 논문에서는 1973년부터 2014년까지 42년 간, 12개 지역의 일일 강수량 데이터의 역통계(inverse statistics) 분석을 실시하였다. 구체적으로 일일 강수량 x의 확률밀도함수 f(x)를 도출하였고, 특정 강수량 ${\rho}$를 처음으로 넘어서는 기간 ${\tau}_{\rho}$의 분포 $f({\tau}_{\rho})$를 도출하였다. 최종적으로 ${\tau}_{\rho}$의 대푯값인 ${\tau}_{mean}({\rho})$${\rho}$의 관계를 도출하였다. 분석 결과 x와 ${\tau}_{\rho}$는 확장된 지수분포(stretched exponential distribution)를 이루는 것을 확인하였다. 더불어 ${\rho}$${\tau}_{mean}({\rho})$도 확장된 지수함수의 관계를 이루는 것을 알 수 있었다. 이들 분포를 바탕으로 형태 모수(shape parameter) ${\beta}$ 값을 도출하고, 12개 지역의 강수 특성을 분석하였다.

Incidence of pterygospinous and pterygoalar bridges in dried skulls of Koreans

  • Ryu, Sol-Ji;Park, Min-Kyu;Lee, U-Young;Kwak, Hyun-Ho
    • Anatomy and Cell Biology
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    • 제49권2호
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    • pp.143-150
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    • 2016
  • Understanding of morphological structures such as the sphenoid spine and pterygoid processes is important during lateral transzygomatic infratemporal fossa approach. In addition, osseous variations such as pterygospinous and pterygoalar bridges are significant in clinical practice because they can produce various neurological disturbances or block the passage of a needle into the trigeminal ganglion through the foramen ovale. Two hundred and eighty-four sides of Korean adult dry skulls were observed to carry out morphometric analysis of the lateral plate of the pterygoid process, to investigate, for the first time among Koreans, the incidence of the pterygospinous and pterygoalar bony bridges, to compare the results with those available for other regional populations, and to discuss their clinical relevance as described on literatures. The mean of maximum widths of the left and right lateral plates of the pterygoid process were 15.99 mm and 16.27 mm, respectively. Also, the mean of maximum heights of the left and right lateral plates were 31.02 mm and 31.01 mm, respectively. The ossified pterygospinous ligament was observed in 51 sides of the skulls (28.0%). Ossification of the pterygospinous ligament was complete in four sides (1.4%). In 47 sides (16.6%), the pterygospinous bridge was incomplete. The ossified pterygoalar ligament was observed in 24 sides of the skulls (8.4%). Ossification was complete in eight sides (2.8%) and incomplete in 16 sides (5.6%). This detailed analysis of the lateral plate of the pterygoid process and related ossification of ligaments can improve the understanding of complex clinical neuralgias associated with this region.

자가통증조절기 적용이 소화기계 악성종양환자의 통증과 장운동 회복에 미치는 영향 (Effects of Patient-Controlled Analgesia Pump on the Postoperative Patient's Pain Management and Recovery of Bowel Movement with Gastrointestinal Cancer)

  • 박형숙;김경훈;백승완;박경연;강인순
    • 기본간호학회지
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    • 제13권3호
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    • pp.382-389
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    • 2006
  • Purpose: The purpose of this study was to explore the effects of Patient Controlled Analgesia (PCA) on the postoperative patient's pain management and recovery of bowel movement with gastrointestinal cancer Method: The participants were 249 patients diagnosed with gastrointestinal disease and scheduled for elective surgery, who were recruited to either the postoperative patient-controlled analgesia group or epidural analgesia group. Participants aged 20 and above were recruited from P, K, D, and I university hospitals in B city. Pain visual analogue scale, and recovery of bowel movement according to PCA-related characteristics were measured using structured questionnaires from April 2005 through December 2005. Descriptive statistics t-test and F-test were used to analyze the data. SPSS WIN 10.0 program was used. Results: Mean score for pain was 62.31. Scores for pain on the visual analogue scale were significantly lower in the epidural-PCA than in the intravenous PCA, and also significantly lower in the absence of side effect of PCA than in the presence of side effect. Recovery time for bowel movement was significantly faster in the absence of side effect of PCA than in the presence of side effect. Conclusion: Based on the findings, there is a significant difference in pain and no difference in first passage of flatus according to PCA infusion route in patients who are post-operative for gastrointestinal cancer.

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독성미만성갑상선종환자에서 방사성옥소(放射性沃素)($^{131}I$)투여후(投與後) 발생(發生)하는 영구적갑상선기능저하증(永久的甲狀腺機能低下症) (Permanent Hypothyroidism after Radioactive Iodine($^{131}I$) Treatment in Diffuse Toxic Goiter)

  • 박선양;이정상;이홍규;고창순;이문호
    • 대한핵의학회지
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    • 제11권1호
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    • pp.39-48
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    • 1977
  • Radioactive iodine(RAI), principally $^{131}I$, effectively controls hyperthyroidism in the majority of patients. The subsequent development of hypothyroidism, however, has been of increasing concern since it was first pointed out by Chapman and Maloof in 1955. And the steady increase of late hypothyroidism during the passage of time was known with its relation with dosage of RAI. The authors have investigated the development of hypothyroidism in 935 patients with diffuse toxic goiter(DTG) who were treated with ($RAI^{131}I$) at the Seoul National University Hospital from 1960 to 1977 to reveal its relation with the number of RAI treatments, dosage of RAI, age of patients and exophthalmos with the following results. 1) The incidence of hypothyroidism by year after RAI therapy among 631 patients with DTG who were treated with single RAI regimen was 7.4%(1 year), 11.8%(2 year), 16.2%(3 year), 22.1%(4 year) and 25.5%(5 year), and that among 163 patients given multiple RAI treatments was 8.6%(1 year), 10.4%(2 year), 13.3%(3 year), 29.1%(4 year), and 54.1%(5 year)respectively showing much higher year1y increments from 4 years after RAI treatment. in comparison with the former. 2) Among 550 patients in the lower dose group treated with single RAI regimen less than 5.0mCi ($Mean{\pm}S.D.:\;4.3{\pm}0.6mCi$), the incidence of hypothyroidism by year after RAI treatment was 6.8%(1 year), 11.4%(2 year), 15.4%(3 year), while among 81 patients in the higher dose group given single RAI treatment not less than 5.5 mCi ($Mean{\pm}S.D.:\;6.3{\pm}0.5mCi$) it was 12.0%(1 year), 15.4%(2 year) and 20.4%(3 year) respectively. However, the duration till euthyroid state after RAI therapy in the two groups was $5.1{\pm}3.6$ months and $4.8{\pm}2.8$ months respectively showing no statistically signficant difference (p>0.1). 4) The incidence of hypothyroidism after RAI treatment in patients younger than 30 years of age was 4.3%(1 year) and 7.7%(2 year); in patients from 30 years to 49 years of age, 5.8%(1 year) and 11.1%(2 year); and in those older than 50 years, 11.0%(1 year) and 14.4%(2 year). The data revealed rising incidence of hypothyroidism with increase of patients' age. 4) Among 116 patients with exophthalmos the incidence of hypothyroidism by year after RAI treatment was 7.1%(1 year) and 12.1%(2 year) while that among 184 patients without exophthalmos was 7.3%(1 year) and 12.2%(2 year) respectively. With the above data the authors could conclude that the hypothyroidism in patients with DTG who were treated by RAI developed more frequently than reported by others in Korea till now, and increased with the passage of time, the yearly increments from 4 years after RAI treatment increasing markedly in the multiple dose group, and the incidence could be reduced by decreasing the administered RAI doe not increasing the duration till euthyroid state after RAI therapy.

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