• 응용통계연구
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• 제15권1호
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• pp.187-199
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• 2002

표본의 크기가 작아 검정 통계량의 근사분포의 정확성이 의심스러울 때, 정확검정이 종종 사용된다. 정확검정의 장점은 1종의 오류 확률이 항상 유의수준보다 작거나 같음을 보장해 준다는 것이다. 본 논문에서는 정확검 정을 만드는 여러방법, 계산 알고리듬, 그리고 상업용 소프트웨어를 살펴보겠다. 그리고 정확검정에서 얻어지는 exact p-value와 원래 우도(true likelihood)에서 얻어지는 true p-value와의 관계도 살펴보겠다.

• East Asian mathematical journal
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• 제35권1호
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• pp.67-75
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• 2019

We investigate the averaging value of a random sampling of a Dirichlet series with some condition using Poisson distribution. Our result is the following: Let $L(s)={\sum}^{\infty}_{n=1}{\frac{a_n}{n^s}}$ be a Dirichlet series that converges absolutely for Re(s) > 1. If $X_t$ is an increasing random sampling with Poisson distribution and there exists a number $0<{\alpha}<{\frac{1}{2}}$ such that ${\sum}_{n{\leq}u}a_n{\ll}u^{\alpha}$, then we have $${\mathbb{E}}L(1/2+iX_t)=O(t^{\alpha}{\sqrt{{\log}t}})$$, for all sufficiently large t in ${\mathbb{R}}$. As a result, we get the behaviour of $L({\frac{1}{2}}+it)$ such that L is a Dirichlet L-function or a modular L-function, when t is sampled by the Poisson distribution.

• Bulletin of the Korean Chemical Society
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• 제22권3호
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• pp.271-275
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• 2001

We investigated H-type molecular aggregation in a simply spin-coated amorphous homopolymer film of polymethacrylate containing push-pull azobenzene moieties. It was found that the aggregate formation was strongly influenced by thermal treatment an d that the aggregate created in the polymer film could be easily disrupted by irradiation of a linearly polarized light. In the first writing cycle of aggregated polymer film, photo-induced birefringence showed a steep increase to the highest value followed by a gradual decrease to the certain asymptotic value under longer irradiation of a linearly polarized light. This unique behavior could be attributed to the cooperative motion and the disruption of the aggregated molecules under continuous irradiation of light.

• 천문학회보
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• 제45권1호
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• pp.48.1-48.1
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• 2020

The cosmological constant is accountable for the accelerated expansion of our Universe. Observational data have provided a tight constraint on the cosmic star formation history from z = 8 to the present. What happens to the star formation rate beyond z=0? I will discuss the star formation rates, along with the properties of the intergalactic mediumfrom our suite of simulations into the future. Since Lambda becomes dominant in the future of our universe, I further simulate counter-factual universes to assign anthropic weights to each universe within the multiverse setting. I will argue that using the asymptotic star formation efficiency as weights, we almost double previous estimates of observers living in universes similar to ours. The expected value of the energy density of Lambda is also closer to the observed value. I will also discuss potential future works to improve the applicability of the anthropic reasoning of the cosmological constant.

• 대한방사선기술학회지:방사선기술과학
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• 제32권1호
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• pp.69-78
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• 2009

연구배경 및 목적 : 심혈관 질환은 서구에서는 이미 오래전부터 가장 흔한 사망 원인으로 알려져 있고, 우리나라를 포함한 동양에서는 최근 식생활 습관의 변화와 함께 급격히 증가하는 추세에 있다. 특히 허혈성 심장질환은 통계청 curve : 곡선 $1996{\sim}2006$을 보면 향후 $5{\sim}10$년 사이 허혈성 심장질환이 1위로 올라 갈 것으로 전망할 수 있다. 이에 보다 정확하고 정밀한 선별검사가 필요함을 인식할 수 있겠다. 목적은 Calcium-scoring의 총 정량화수치에 영향을 주는 위험인자와의 연관성을 알아보고, Calciumscoring이 선별검사로의 타당성을 검증하며, 국민보건에 이바지 하고자 한다. 연구방법 및 결과 : 인천광역시에 위치한 G병원으로 2008년 2월 1일부터 6월 30일까지 가슴 흉통으로 내원한 환자 중 Calcium-scoring과 Coronary CT angiography를 동시에 시행한 환자 중 무작위 표본추출로 70명을 선정 하였으며, Calcium-scoring t value에 영향을 주는 것으로 알려진 위험인자를 각각의 연관성을 분석한 결과 고지혈증, 고혈압이 유의수준 $\alpha$ < 0.05하에서 Calcium-scoring t value를 높임을 알 수 있었고, Calcium-scoring t value를 Coronary CT angiography 결과와 비교분석 한 결과 관상동맥 석회화 수치는 관상동맥 내의 동맥경화와의 총량과 상관관계가 높다는 결과를 얻을 수 있었고, Coronary CT angiography result를 확진검사로 ROC curve를 분석한 결과 Area의 크기가 0.833으로 우수한 검사법이라 할 수 있고, Asymptotic 95% Confidence interval Low Bound와 Upper Bound가 모두 0.5 이상이며, Asymptotic Sig.(p)가 0.05보다 작으므로 유용한 검사법임을 알 수 있었다. 결 론 : Calcium-scoring검사가 허혈성 심혈관 질환의 다른 선별검사인 심전도와 운동부하검사 등과 더불어 선별검사로서 손색이 없으며, 운동부하검사의 제한점인 관절 질환을 앓고 있거나, 고령 등의 원인으로 운동이 어려운 경우에는 시행하기 어려운 점을 해결할 수 있는 우수한 선별검사라고 할 수 있겠다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2004년도 ICCAS
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• pp.460-465
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• 2004

In this paper, we present some properties on receding horizon $H_{\infty}$ control for nonlinear discrete-time systems. First, we propose the nonlinear inequality condition on the terminal cost for nonlinear discrete-time systems. Under this condition, noninceasing monotonicity of the saddle point value of the finite horizon dynamic game is shown to be guaranteed. We show that the derived condition on the terminal cost ensures the closed-loop internal stability. The proposed receding horizon $H_{\infty}$ control guarantees the infinite horizon $H_{\infty}$ norm bound of the closed-loop systems. Also, using this cost monotonicity condition, we can guarantee the asymptotic infinite horizon optimality of the receding horizon value function. With the additional condition, the global result and the input-to-state stable property of the receding horizon value function are also given. Finally, we derive the stability margin for the saddle point value based receding horizon controller. The proposed result has a larger stability region than the existing inverse optimality based results.

• 천문학회지
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• 제36권1호
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• pp.1-12
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• 2003

Nonthermal particles can be produced due to incomplete thermalization at collisionless shocks and further accelerated to very high energies via diffusive shock acceleration. In a previous study we explored the cosmic ray (CR) acceleration at cosmic shocks through numerical simulations of CR modified, quasi-parallel shocks in 1D plane-parallel geometry with the physical parameters relevant for the shocks emerging in the large scale structure formation of the universe (Kang & Jones 2002). Specifically we considered pancake shocks driven by accretion flows with $U_o = 1500 km\;s^{-l}$ and the preshock gas temperature of $T_o = 10^4 - 10^8K$. In order to consider the CR acceleration at shocks with a broader range of physical properties, in this contribution we present additional simulations with accretion flows with $U_o = 75 - 1500 km\;s^{-l}$ and $T_o = 10^4K$. We also compare the new simulation results with those reported in the previous study. For a given Mach number, shocks with higher speeds accelerate CRs faster with a greater number of particles, since the acceleration time scale is $t_{acc}\;{\propto}\;U_o^{-2}$. However, two shocks with a same Mach number but with different shock speeds evolve qualitatively similarly when the results are presented in terms of diffusion length and time scales. Therefore, the time asymptotic value for the fraction of shock kinetic energy transferred to CRs is mainly controlled by shock Mach number rather than shock speed. Although the CR acceleration efficiency depends weakly on a well-constrained injection parameter, $\epsilon$, and on shock speed for low shock Mach numbers, the dependence disappears for high shock Mach numbers. We present the 'CR energy ratio', ${\phi}(M_s)$, for a wide range of shock parameters and for $\epsilon$ = 0.2 - 0.3 at terminal time of our simulations. We suggest that these values can be considered as time-asymptotic values for the CR acceleration efficiency, since the time-dependent evolution of CR modified shocks has become approximately self-similar before the terminal time.

• Asian-Australasian Journal of Animal Sciences
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• 제21권10호
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• pp.1506-1515
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• 2008

Two feeding trials were conducted to assess the relative bioavailability (RBV) of methionine hydroxy analogue calcium salt (MHA-Ca) in comparison to DL-methionine (DL-Met). Male Ross 308 (1-38 days) and Cobb 500 chickens (1-42 days) were used in studies 1 and 2, respectively. Experimental diets based on wheat and soybean meal or sorghum and soybean meal were fed during three phases. In both experiments graded levels of DL-Met and MHA-Ca were supplemented to Met+Cys deficient basal diets. Additionally, in experiment 1, increasing levels of a DL-Met preparation diluted with corn starch to 65% purity (DL-Met65) were supplemented. Birds were kept in floor pens and feed and water were available ad libitum. Body weights and feed consumption were recorded at the beginning and end of the experimental periods and weight gain and feed efficacy were computed subsequently. At the end of the experiments, a number of birds were slaughtered for carcass evaluation (dressing percentage, breast meat yield). Dose response data were analysed by both ANOVA and nonlinear common plateau asymptotic regression. In both experiments birds responded significantly to increasing levels of either methionine source. However, RBV of MHA-Ca compared to DL-Met was markedly (in many cases significantly) below 84%, the value which would have been expected from MHA-Ca's chemical characteristics. Excluding some extremely low RBV figures of trial 2, RBV of MHA-Ca averaged to about 63% in relation to DL-Met. In addition, supplementation of DL-Met65 allowed confirmation of nonlinear common plateau asymptotic regression to be suitable to determine RBV.

• Smart Structures and Systems
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• 제24권1호
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• pp.83-94
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• 2019

Passive negative stiffness dampers (NSDs) that possess superior energy dissipation abilities, have been proved to be more efficient than commonly adopted passive viscous dampers in controlling stay cable vibrations. Recently, inertial mass dampers (IMDs) have attracted extensive attentions since their properties are similar to NSDs. It has been theoretically predicted that superior supplemental damping can be generated for a taut cable with an IMD. This paper aims to theoretically investigate the impact of the cable sag on the efficiency of an IMD in controlling stay cable vibrations, and experimentally validate superior vibration mitigation performance of the IMD. Both the numerical and asymptotic solutions were obtained for an inclined sag cable with an IMD installed close to the cable end. Based on the asymptotic solution, the cable attainable maximum modal damping ratio and the corresponding optimal damping coefficient of the IMD were derived for a given inertial mass. An electromagnetic IMD (EIMD) with adjustable inertial mass was developed to investigate the effects of inertial mass and cable sag on the vibration mitigation performance of two model cables with different sags through series of first modal free vibration tests. The results show that the sag generally reduces the attainable first modal damping ratio of the cable with a passive viscous damper, while tends to increase the cable maximum attainable modal damping ratio provided by the IMD. The cable sag also decreases the optimum damping coefficient of the IMD when the inertial mass is less than its optimal value. The theoretically predicted first modal damping ratio of the cable with an IMD, taking into account the sag generally, agrees well with that identified from experimental results, while it will be significantly overestimated with a taut-cable model, especially for the cable with large sag.

• 한국추진공학회지
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• 제1권1호
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• pp.64-72
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• 1997

맥동연소의 비정상 점화현상을 연구하기 위하여 이론적인 해석을 수행하였다. 맥동연소에서는 연소기의 양쪽에서 유입되는 고온의 연소가스와 미연 혼합가스가 연소실 내부에서 충돌하여 정체면을 형성하며 유동변형율이 임계 값 이하가 될 때까지 점화가 억제된다. 본 연구에서는 유동의 유동변형율의 변화에 대한 점화현상의 반응을 연구하기 위하여 활성화 에너지 점근법과 비가역 1단계 화학반응을 이용하였다. 또한 유동에 의한 유동변형율은 두 가지 요인에 의하여 발생하는 것으로 모델링 하였는데, 비정상 유동에 의한 평균 유동변형율과 난류에 의하여 유도되는 유동변형율이 그것이다. 해석 결과에 의하면, 맥동연소에서는 잘 정의된 점화지연이 존재하며, 점화 또는 소염의 발생 여부는 Damkohler 수에 의하여 거의 결정된다.