• Structural Engineering and Mechanics
• /
• 제31권4호
• /
• pp.383-392
• /
• 2009

The static and dynamic analyses of simply supported beams are studied by using the U-transformation method and the finite difference method. When the beam is divided into the mesh of equal elements, the mesh may be treated as a periodic structure. After an equivalent cyclic periodic system is established, the difference governing equation for such an equivalent system can be uncoupled by applying the U-transformation. Therefore, a set of single-degree-of-freedom equations is formed. These equations can be used to obtain exact analytical solutions of the deflections, bending moments, buckling loads, natural frequencies and dynamic responses of the beam subjected to particular loads or excitations. When the number of elements approaches to infinity, the exact error expression and the exact convergence rates of the difference solutions are obtained. These exact results cannot be easily derived if other methods are used instead.

• Communications for Statistical Applications and Methods
• /
• 제16권2호
• /
• pp.363-372
• /
• 2009

The difference of two independent binomial proportions is frequently of interest in biomedical research. The interval estimation may be an important tool for the inferential problem. Many confidence intervals have been proposed. They can be classified into the class of exact confidence intervals or the class of approximate confidence intervals. Ore may prefer exact confidence interval s in that they guarantee the minimum coverage probability greater than the nominal confidence level. However, someone, for example Agresti and Coull (1998) claims that "approximation is better than exact." It seems that when sample size is large, the approximate interval is more preferable to the exact interval. However, the choice is not clear when sample, size is small. In this note, an exact confidence and an approximate confidence interval, which were recommended by Santner et al. (2007) and Lee (2006b), respectively, are compared in terms of the coverage probability and the expected length.

• 응용통계연구
• /
• 제15권1호
• /
• pp.187-199
• /
• 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.

• 대한수학회보
• /
• 제57권5호
• /
• pp.1307-1317
• /
• 2020

Let f be a nonconstant meromorphic function of hyper order strictly less than 1, and let c be a nonzero finite complex number such that f(z + c) ≢ f(z). We prove that if ∆_cf = f(z + c) - f(z) and f share 0, ∞ CM and 1 IM, then ∆_cf = f. Our result generalizes and greatly improves the related results.

• Journal of applied mathematics & informatics
• /
• 제27권1_2호
• /
• pp.441-452
• /
• 2009

In this paper, a fifth order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been using for delay. Similar boundary value problems are associated with expected first exit time problem of the membrane, potential in models for neuron and in variational problems in control theory. In the numerical treatment for such type of boundary value problems, first we use Taylor approximation to tackle terms containing small shifts which converts it to a boundary value problem for singularly perturbed differential equation. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system and is solved using the boundary conditions. Several numerical examples are solved and compared with exact solution. It is observed that present method approximates the exact solution very well.

• Structural Engineering and Mechanics
• /
• 제46권2호
• /
• pp.269-294
• /
• 2013

This paper is concerned with the determination of exact buckling loads and vibration frequencies of variable thickness isotropic plates using well known finite difference technique. The plates are subjected to uni, biaxial compression and shear loadings and various combinations of boundary conditions are considered. The buckling load is found out as the in plane load that makes the determinant of the stiffness matrix equal to zero and the natural frequencies are found out by carrying out eigenvalue analysis of stiffness and mass matrices. New and exact results are given for many cases and the results are in close agreement with the published results. In this paper, like finite element method, finite difference method is applied in a very simple manner and the application of boundary conditions is also automatic.

• 한국통신학회논문지
• /
• 제23권4호
• /
• pp.1059-1065
• /
• 1998

광정보처리와 광연결에 널리 사용되는 위상홀로그램을 제작하기 위해서는 정확한 위상을 갖게 하는 것이 매우 중요하다. 본 논문에서는 광 리소그래피 방식에 의한 위상 홀로그램의 제작 시 요구되는 위상을 얻기 위한 방법으로 회절빔의 0차 세기와 홀로그램의 위상과의 관계를 도입하였고, 이를 이용하여 위상이 각각 $\pi$와 $\pi$/2인 이진 위상 홀로그램을 제작하였다. 이 두 홀로그램을 결합하여 다중 위상 홀로그램을 구현함으로서 이진 위상 홀로그램에서 재생되는 불필요한 영상을 제거할 수 있었다.

• 대한설비공학회지:설비저널
• /
• 제11권3호
• /
• pp.9-17
• /
• 1982

In this paper, temperature distributions in radial fin of hyperbolic profile for steady -state with no heat generation are obtained by one-dimensional analytical method, finite difference method and experiment respectively. Heat flow rate and fin efficiency from the fin model are obtained by analytical method. To compare the exact solutions obtained by theoretical analysis with the results obtained by finite difference method, cylindrical shape is selected. Particularly, equations of finite difference method for cylindrical shape with irregular boundary are rearranged and formulated. Consequently, temperature distributions in radial fin can certify that are similar to exact solutions. From theoretical analysis, the effects according to heat flow rate and fin efficiency are related to variation of parameters which are fin thickness ${\delta}_o$, fin base temperature $T_o$, thermal conductivity K with same basic dimensions and the fleets are studied and compared.

• Communications for Statistical Applications and Methods
• /
• 제21권6호
• /
• pp.539-559
• /
• 2014

We derive the exact distribution of summation for random samples from uniform distribution and then compare the exact distribution with the approximated normal distribution obtained by the central limit theorem. To check the similarity between two distributions, we consider five existing normality tests based on the difference between the target normal distribution and empirical distribution: Anderson-Darling test, Kolmogorov-Smirnov test, Cramer-von Mises test, Shapiro-Wilk test and Shaprio-Francia test. For the purpose of comparison, those normality tests are applied to the simulated data. It can sometimes be difficult to derive an exact distribution. Thus, we try two different transformations to find out which transform is easier to get the exact distribution in terms of calculation complexity. We compare two transformations and comment on the advantages and disadvantages for each transformation.

• 한국인터넷방송통신학회논문지
• /
• 제18권4호
• /
• pp.97-104
• /
• 2018

기존의 방향탐지는 지상에서 높은 위치에 안테나를 설치하여 신호 수신환경을 최대한 LOS(Line of Sight)의 환경으로 목표물의 위치를 탐지하지만 이러한 환경을 구성하기 위해선 높은 비용과 설치 시간이 필요하다. 군사적 용도로 사용되었던 무인항공기인 드론이 민간 상업용으로 시장이 확대되면서 활용 영역이 넓어지고 있기 때문에 본 논문에서는 방향탐지에서 드론을 활용하고자 TDOA(Time Difference of Arrival)기법을 활용하여 4대의 드론을 이용해 방향탐지 시뮬레이션을 구성하였다. 또한 추가적인 신호처리 테일러 급수와 Exact Iteractive Algorithm을 이용하여 드론과 TDOA 방향탐지 기법 기반의 시뮬레이션을 구성하였다. 시뮬레이션은 지상 방향탐지의 측정 데이터의 GPS정보를 이용하여 800MHz Path-Loss Model을 활용하여 수신 Power를 정의하였으며 TDOA기법과 테일러급수, Exact Iteractive Alogrithm을 적용하여 보정을 실시하였을 때 위치추정 성능을 분석하였다.