• Title/Summary/Keyword: 역함수

Search Result 667, Processing Time 0.022 seconds

A Comparative Study of Transverse Cylindrical Projection Functions by A Series of Numerical Simulations (수치시험을 통한 횡원통 상사 투영함수 비교 연구)

  • Lee, Hungkyu;Seo, Wansoo
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
    • /
    • v.31 no.2
    • /
    • pp.121-134
    • /
    • 2013
  • The transverse cylindrical projection has been used in Korea since 1910s when the nationwide geodetic network was firstly established. However, the projection has a number of different types of functions according to a way of its mathematical derivation as well as a section of its coefficients and terms, for instance Gauss- Schreiber(GS) and Gauss-Kruger(GK) types. Although the transverse cylindrical projection itself is assigned to a system, projected coordinates would be diverse with respect to the function used in the actual calculation. In order to investigate impact of functions used in the computation, five different equations (i.e., 2 GS and 3 GK) were implemented in this study by using MATLAB. A series of numerical simulation tests has been carried out to compare and characterize them in terms of projection accuracy, difference of projected coordinates and distortion. Furthermore, a comparison between GS and GK function was made under the Korean gridding system, consisting of four zones. Results from the numerical computations were qualitatively analyzed and summarized in this paper.

Objective Estimation of Velocity Streamfunction Field with Discretely Sampled Oceanic Data 11: with Application of Least-square Regression Analysis (객관적 분석을 통한 속도 유선함수(streamfunction) 산출 II: 최소자승 회귀분석법의 응용)

  • 조광우
    • Journal of Environmental Science International
    • /
    • v.6 no.5
    • /
    • pp.541-550
    • /
    • 1997
  • A least-square regression analysis is applied for the estimation of velocity streamfunction field based on discretely sampled current meter data. The coefficients of a streamfuunction that is expanded in terms of trigonometric basis function are obtained by enforcing the horizontal non-divergence of two-dimensional flow field. This method avoids Interpolation and gives a root-mean-square (rms) residual of fit which Includes the divergent part and noisiness of oceanic data. The Implementation of the method Is done by employing a boundary-fitted, curvilinear orthogonal coordinate which facilitates the specification of boundary conditions. An application is successfully made to the Texas-Louisiana shelf using the 32 months current meter data (31 moorings) observed as a part of the Texas-Louisiana Shelf and Transport Processes Study (LATEX). The rms residual of the fitting is relatively small for the shelf, which indicates the field Is Ivell represented by the streamnfunction.

  • PDF

A Study on the comparison of models for teaching the concept of function (함수개념 지도를 위한 모델 비교 연구)

  • Heo, Hae-Ja;Kim, Jong-Myung;Kim, Dong-Won
    • Journal for History of Mathematics
    • /
    • v.24 no.4
    • /
    • pp.97-118
    • /
    • 2011
  • This study aimed finding effective models for the teaching the concept of function. We selected two models. One is discrete model which focuses on the 'corresponding relation of the elements of the sets(domain and range). The other is continuous model which focuses on the dependent relationship of the two variables connected in variable phenomenon. A vending machine model was used as a discrete model, and a water bucket model was used as a continuous model in our study. We taught 2 times about the concept of function using two models to the 60 students (7th grade, 2 classes) living in Taebak city, and tested it twice, after class and about 3 months later. A vending machine model was helpful in understanding the definition of function in the 7th grade math textbook. Also, it was helpful to making concept image and to recalling it. On the other hand, students who used the water bucket model had a difficultly in understanding the all independent variables of the domain corresponding to the dependent variables. But they excelled in tasks making formula expression and understanding changing situations.

Approximate Method of Multi-Layer Green's Function Using FDTD Scheme and Rational Function Approximation (FDTD 방법과 분수 함수 근사법을 이용한 다층 구조에서의 Green 함수 근사화)

  • Kim, Yong-June;Koh, Il-Suek;Lee, Yong-Shik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.22 no.2
    • /
    • pp.191-198
    • /
    • 2011
  • In this paper, a method to approximate a multi-layer Green's function is proposed based on a FDTD scheme and a rational function approximation. For a given horizontal propagation wavenumber, time domain response is calculated and then Fourier transformed to the spectral domain Green's function. Using the rational function approximation, the pole and residue of the Green's function can be estimated, which are crucial for a calculation of a path loss. The proposed method can provide a wideband Green's function, while the conventional normal mode method can be applied to a single frequency problem. To validate the proposed method, We consider two problems, one of which has a analytical solution. The other is about multi-layer case, for which the proposed method is compared with the known normal mode solution, Kraken.

재미있는 책 이야기

  • Korean Publishers Association
    • The Korean Publising Journal, Monthly
    • /
    • s.173
    • /
    • pp.48-48
    • /
    • 1995
  • 인류문명 속에서 책과 기억은 '역'의 함수관계를 맺어왔따. 다니엘 부어스틴의 책에는 이 흥미로운 역사가 묘사돼 있다. 인쇄술이 퍼지기 전, 기억의 전성기는 책이 등장하면서부터 소멸되기 시작한다. 망각이 기억의 전제조건이라는 역설도 등장한다. 하지만 기억은 주체의 마지막 보루가 아닐는지.

  • PDF

LQ-servo Design Method Using Convex Optimization (I) Frequency Domain Approach (볼록형 최적화기법을 이용한 LQ-서보 설계 방법(I) 주파수 영역에서의 접근)

  • 이응석;서병설
    • The Journal of Korean Institute of Communications and Information Sciences
    • /
    • v.25 no.7B
    • /
    • pp.1282-1291
    • /
    • 2000
  • 기존의 LQ-서보형 PI 설계방법은 보드선도 상에서 저주파와 고주파 영역에서의 루프전단함수의 특이값 일치에 기이한 설계상의 문제를 가지고 있다. 이러한 점을 해결하기 위해 역 최적제어와 볼록형 최적화기법에 기초한 새로운 설계 방법을 제안하고자 한다.

  • PDF

Application of Back Analysis Technique Based on Direct Search Method to Estimate Tension of Suspension Bridge Hanger Cable (현수교 행어케이블의 장력 추정을 위한 직접탐색법 기반의 역해석 기법의 적용 )

  • Jin-Soo Kim;Jae-Bong Park;Kwang-Rim Park;Dong-Uk Park;Sung-Wan Kim
    • Journal of the Korea institute for structural maintenance and inspection
    • /
    • v.27 no.5
    • /
    • pp.120-129
    • /
    • 2023
  • Hanger cable tension is a major response that can determine the integrity and safety of suspension bridges. In general, the vibration method is used to estimate hanger cable tension on operational suspension bridges. It measures natural frequencies from hanger cables and indirectly estimates tension using the geometry conditions of the hanger cables. This study estimated the hanger cable tension of the Palyeong Bridge using a vision-based system. The vision-based system used digital camcorders and tripods considering the convenience and economic efficiency of measurement. Measuring the natural frequencies for high-order modes required for the vibration method is difficult because the hanger cable response measured using the vision-based system is displacement-based. Therefore, this study proposed a back analysis technique for estimating tension using the natural frequencies of low-order modes. Optimization for the back analysis technique was performed by defining the difference between the natural frequencies of hanger cables measured in the field and those calculated using finite element analysis as the objective function. The direct search method that does not require the partial derivatives of the objective function was applied as the optimization method. The reliability and accuracy of the back analysis technique were verified by comparing the tension calculated using the method with that estimated using the vibration method. Tension was accurately estimated using the natural frequencies of low-order modes by applying the back analysis technique.

Parameter Estimation of Groundwater Flow in Hillside Slopes Using Bayesian Approach (사면의 지하수 흐름에서 Bayesian 이론을 이용한 매개변수 추정)

  • 이인모;이주공;김영욱
    • Journal of the Korean Geotechnical Society
    • /
    • v.17 no.2
    • /
    • pp.51-57
    • /
    • 2001
  • 지하수위의 상승에 따른 간극수압의 증가는 사면의 불안정을 야기할 수 있다. 그러나 모델링 오차, 계측오차, 모델변수의 불확실성 등과 같은 오차로 인하여 사면에서의 지하수위 변동을 예측하는 것은 매우 어렵다. 이러한 불확실성을 극복하고 지하수위 변동을 평가하기 위한 최적의 모델변수를 구하기 위하여 역해석 기법이 사용되고 있다. 본 논문에서는 사면에서의 지하수위 변동을 예측하기 위하여 포화대에서의 지하수 흐름과 불포화대에서의 지하수 흐름을 동시에 고려할 수 있는 수치해석 모델과 변수예측기법을 적용하였다. 따라서, 본 논문에서는 포화투수계수($K_{s}$ ), 포화흡인력($\psi$$_{e}$) 및 불포화 투수계수의 함수에 사용되는 경험적인 상수(b)를 주요 매개변수로 선정하여 역해석을 실시하였다. 그리고, 역해석 기법 가운데 Maximum Likelihood(MK), Maximum-A-Posterior(MAP) 및 Extended Bayesian Method(EBM)에 대하여 비교연구를 실시하였다. 위의 세가지 방법 가운데 EBM은 가상의 변수(Hyperparameter) $\beta$를 도입함으로써 현장계측치와 사전정보를 가장 잘 조화시키는 방법으로 다른 ML, MAP 보다 탁월한 방법인 것을 알 수 있었다.

  • PDF

Source Estimation of Digital Filter System using Inverse Problem (역문제를 이용한 디지털 필터 시스템의 소스 추정)

  • Kim, Tae Yong;Lee, Hoon-Jae
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 2014.05a
    • /
    • pp.57-58
    • /
    • 2014
  • Digital filter is very important role in signal processing system. In general, input signal is determined by transfer function of the digital filter. But if input signal was exposured in various sound environment, it is difficult to verify its original source. In this paper, inverse problem in order to extract original input signal from noisy environment is considered.

  • PDF

Analysis of Broad- Band Grating Filter Response in Integrated Optics (집적 광학용 광대역 격자 필터의 해석)

  • 김언균;신상균
    • Journal of the Korean Institute of Telematics and Electronics
    • /
    • v.19 no.6
    • /
    • pp.55-61
    • /
    • 1982
  • An analytic solution for the spectral response of linearly-chirped grating filter is derived, which takes the finite physical length of filter into account. In the usual case of broad-band linearly-chirped grating filter the analytic solution is expressed in terms of elementary functions, by approximating asymptotically the involved parabolic cylinder functions over different ranges of its argument. It is also shown that derived results are general enough to include previously-available approximations as particular cases, and that they agree well with the numerical solutions based upon the Runge-Kutta method.

  • PDF