• 대한수학회보
• /
• 제32권2호
• /
• pp.297-302
• /
• 1995

In [1], Cramer introduced the first large deviation theorem at a probability symposium in 1938. Since 1938, there have been many developments in the large deviation theorems.

• Korean Journal of Mathematics
• /
• 제7권2호
• /
• pp.301-313
• /
• 1999

In this paper we obtain similar limit theorems of the Generalized Curie - Weiss model for a new class Hamiltonian. We expressed the saddlepoint approximation by large deviation rate and then obtain the limit theorems.

• 한국정밀공학회지
• /
• 제13권3호
• /
• pp.49-55
• /
• 1996

Recently, the necessity for more accurate automatic gauge control has increased of customers' requirement for cold rolled steel sheets with thinner gauge and better gauge quality. Therefore, many cold rolling mills replaced its electric screw down automatic gauge control system with a new hydraulic automatic gauge control system, to ensure closer gauge tolerance. In this paper, The performance of a hydraulic automatic gauge control system for cold rolling has been investigated under industrial conditions. It was investigated that variation of gauge deviation according to the final products thickness, cold rolling speed and pass number, in the actual rolling mill. As a result, it was found that the system enables strip thickness variation to be reduced substantially and caused by poor gauge deviation have been drastically decreased. The test results are as following. The more the exit steel strip thickness is thick, the smaller the aguge deviation rate is large, and the more it is thin, the large the gauge deviation rate is large. Because the gauge deviation is larger at accleration speed and deceleration speed than steady speed, so automatic gauge control system is better to adopt over 50m/min. automatic gauge control system reduces rapidly large thickness deviation.

• Journal of Advanced Marine Engineering and Technology
• /
• 제20권4호
• /
• pp.101-107
• /
• 1996

This test was performed on the hydraulic automatic gauge control(AGC) system of adaptive mass flow method. Fundamental purpose of this study are performance evaluation of this AGC system under the actual rolling condition. It was concluded that the response of AGC system depends on the dynamic characteristics of a reel motor or roll position. The test results are as follows : 1) The control method of reel motor current is better than than of the roll position as AGC system. 2) The more steel strip thickness of delivery side is thick, the larger the gauge deviation is large, and the more it is thin, the larger the gauge deviation rate is large. 3) Because the gauge deviation is large at acceleration and deceleration speed than steady speed, so AGC system is better to adopt over 50m/min. By applying this AGC system, not only the accurary in strip thickness were improved but also productivity was improved dramatically.

• Journal of the Korean Statistical Society
• /
• 제25권4호
• /
• pp.515-527
• /
• 1996

It has been known for mean field models that the limiting distribution reflecting the asymptotic behavior of the system is non-Gaussian at the critical state. Recently, however, Papangelow showed for the critical Curie-Weiss mean field model that there exist Gaussian structures in the asymptotic behavior of the total magnetization. We construct Gaussian structures existing in the internal fluctuation of the system for the critical case of a generalized Curie-Weiss mean field model.

• Korean Journal of Mathematics
• /
• 제4권2호
• /
• pp.141-148
• /
• 1996

• 대한기계학회논문집B
• /
• 제32권3호
• /
• pp.235-240
• /
• 2008

The large size electromagnetic flowmeter was tested to investigate the variation of its error characteristics in the range of low velocity under 0.6 m/s using flowmeter calibration system. For the two case of valve opening rate 100 % and 50 %, these tests were undertaken three times each for twelve velocity condition from $0.05\;^m/s\;to\;0.6\;^m/s$ with increment of $0.05\;^m/s$. It is shown that error characteristic of electromagnetic flowmeter was stabilized within ${\pm}0.4%$ of rate both higher than $0.25^m/s$ of velocity condition and 50 % of valve opening position. But, measurement deviation of flowmeter for ${\Phi}400mm\;and\;{\Phi}600mm$ was out of expected deviation range. It is necessary to correction with calibration. In conclusion, error characteristic of electromagnetic flowmeter wasn't changed proportion to its size.

• 대한수학회지
• /
• 제56권4호
• /
• pp.935-946
• /
• 2019

Hawkes process is a self-exciting simple point process with clustering effect whose jump rate depends on its entire past history. We consider Hawkes processes with uniform immigrants which is a special case of the Hawkes processes with renewal immigrants. We study the limit theorems for Hawkes processes with uniform immigrants. In particular, we obtain a law of large number, a central limit theorem, and a large deviation principle.

• 대한기계학회논문집B
• /
• 제37권11호
• /
• pp.1031-1036
• /
• 2013

종래의 모터 펌프를 이용한 매트용 온수보일러는 큰 유량을 공급할 수 있지만 모터 펌프의 진동과 소음이 큰 단점이 있다. 모터 펌프를 사용하지 않는 매트용 온수보일러의 경우 소음과 진동이 억제되는 장점이 있지만 감소된 유량으로 인해 매트의 온도 편차가 큰 단점이 있다. 본 연구에서는 기존 펌프 없는 온수보일러가 가지고 있는 문제점을 개선하여 순환유량을 증가시킨 새로운 온수 보일러 방식을 제안하고 실험을 통해 그 성능을 입증하였다. 성능 실험 결과 순환 유량의 증가로 매트 온도 상승시간이 대폭 줄어들었으며 유입 온수와 유출 온수의 온도 편차도 많이 줄어들어 종래의 펌프 없는 온수보일러와 비교하여 성능 개선을 입증하였다.

• 한국유체기계학회 논문집
• /
• 제7권1호
• /
• pp.24-29
• /
• 2004

The inter-comparison of standards is required to be recognized the calibration results. The sonic nozzle package is developed to do inter-comparison of the bell preyer used to calibrate many gas flow meters for industries. Four national metrology institutes (KRISS, CMS, CENAM, NEL) were participated in this inter-comparison. The deviation of calibration data from the average value was small at the low flow rate and large at the high flow rate, respectively At the high flow rate, the deviation was larger than the expected value from uncertainties asserted by NMIs. This means there are some problems in the uncertainty evaluation and experiment procedures in some of the participated NMIs.