• Title/Summary/Keyword: differential-basis

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Numerical Solutions of Fractional Differential Equations with Variable Coefficients by Taylor Basis Functions

  • Kammanee, Athassawat
    • Kyungpook Mathematical Journal
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    • v.61 no.2
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    • pp.383-393
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    • 2021
  • In this paper, numerical techniques are presented for solving initial value problems of fractional differential equations with variable coefficients. The method is derived by applying a Taylor vector approximation. Moreover, the operational matrix of fractional integration of a Taylor vector is provided in order to transform the continuous equations into a system of algebraic equations. Furthermore, numerical examples demonstrate that this method is applicable and accurate.

Daily Electric Load Forecasting Based on RBF Neural Network Models

  • Hwang, Heesoo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.1
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    • pp.39-49
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    • 2013
  • This paper presents a method of improving the performance of a day-ahead 24-h load curve and peak load forecasting. The next-day load curve is forecasted using radial basis function (RBF) neural network models built using the best design parameters. To improve the forecasting accuracy, the load curve forecasted using the RBF network models is corrected by the weighted sum of both the error of the current prediction and the change in the errors between the current and the previous prediction. The optimal weights (called "gains" in the error correction) are identified by differential evolution. The peak load forecasted by the RBF network models is also corrected by combining the load curve outputs of the RBF models by linear addition with 24 coefficients. The optimal coefficients for reducing both the forecasting mean absolute percent error (MAPE) and the sum of errors are also identified using differential evolution. The proposed models are trained and tested using four years of hourly load data obtained from the Korea Power Exchange. Simulation results reveal satisfactory forecasts: 1.230% MAPE for daily peak load and 1.128% MAPE for daily load curve.

RENE LAENNEC'S SYNDROME-BASED CLINICAL REASONING

  • Berezutskyi Volodymyr
    • CELLMED
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    • v.14 no.2
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    • pp.4.1-4.4
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    • 2024
  • The development of clinical reasoning, which is the basis of medical education, is of great importance in medical universities. One of the founders of modern structural clinical reasoning, based on the knowledge of pathological physiology, is the inventor of the stethoscope Rene Laennec (1781-1826). He described the pioneering experience of clinical reasoning in the pages of his treatise A Treatise on the Diseases of the Chest and on Mediate Auscultation, which is of lasting value, since every rookie physicians in his professional development goes through the path of Laennec. Laennec's practice is of great importance for novice physicians since Laennec's treatise contains a diagnostic analysis of the most common clinical cases. Each such analysis demonstrates the algorithm of clinical reasoning. The purpose of this study was to analyze the approaches of clinical reasoning by René Laennec, which made it possible to identify two basic principles. Laennec's diagnostic reasoning involved two principles: pathogenetic analysis of clinical manifestations and a syndrome-based approach to differential diagnosis. These principles help distinguish between diseases with similar symptoms and physical findings are used to demonstrate the practical application of syndrome-based differential diagnosis. These principles can be easily mastered by understanding the pathogenesis of clinical manifestations. Thanks to the pathogenetic basis, the principles of clinical reasoning of Rene Laennec are universal and applicable to the analysis of any signs of the disease: not only physical but also laboratory and instrumental.

Optimization Method of Differential Evolution-based Radial Basis Function Neural Networks (차분 진화 알고리즘 기반 방사형 기저 함수 신경회로망 분류기의 최적화 방법)

  • Ma, Chang-Min;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2011.07a
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    • pp.1962-1963
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    • 2011
  • 본 연구에서는 패턴분류를 위해 최적화된 방사형 기저 함수 신경회로망(Radial Basis Function Neural Networks) 분류기를 제안한다. RBFNN은 입력층, 은닉층, 출력층의 3층 구조로 되어 있으며 Multi Dimension, Predictive ability, Robustness한 특징이 있다. RBFNN의 은닉층에는 기존의 활성함수가 아닌 Fuzzy C-means 클러스터링 알고리즘을 사용하여 입력 데이터의 특성을 고려한 적합도를 사용하였다. RBFNN은 은닉층의 노드수와 FCM 클러스터링의 퍼지화 계수, 연결가중치의 다항식 타입이 모델의 성능의 향상에 영향을 미치기 때문에 최적화가 필요하며 본 논문에서는 Differential Evolution(DE) 알고리즘을 사용하여 모델의 구조 및 파라미터를 최적화시켜 모델의 성능을 향상시켰다. 제안된 모델을 평가하기 위해 패턴분류에 많이 사용되는 Iris 데이터와 Wine 데이터를 이용하였다.

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Free Vibrations and First Critical Loads of Tapered Columns (변단면 기둥의 자유진동 및 최소임계하중 해석)

  • 이병구;오상진;모정만;김헌상
    • Journal of KSNVE
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    • v.2 no.3
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    • pp.203-211
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    • 1992
  • The main purpose of this paper is to present both the natural frequencies and the first critical loads of tapered columns. The ordinary differential equation governing the free vibration for tapered columns under compressive axial force is derived. Three kinds of cross sectional shape are considered in the governing equation. The Runge-Kutta method and determinant search method are used to perform the integration of the differential equation and to determine the natural frequencies, respectively. Additionally, the bisection method is used to determine the critical loads. In numerical examples, the effects of compressive axial force on the natural frequencies of tapered columns are investigated varying the end conditions. The first critical loads of tapered columns are determined on the basis of dynamic concepts. The first critical loads of tapered columns are determined on the basis of dynamic concept. The effects of cross sectional shapes are shown and some typical mode shapes are also presented.

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The Linearity of algebraic Inversion and a Modification of Knudsen-Nyberg Cipher

  • Lee, Chang-Hyi;Lim, Jong-In
    • Journal of the Korea Institute of Information Security & Cryptology
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    • v.8 no.1
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    • pp.65-70
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    • 1998
  • K. Nyberg and L.R. Knudsen showed a prototype of a DES-like cipher$^{[1]}$ which has a provable security against differential cryptanalysis. But in the last year, at FSE'97 T. Jakobsen ane L.R.Knudsen broked it by using higher order differential attack and interpolation attack$^{[2]}$ . Furthermore the cipher was just a theoretically proposed one to demonstrate how to construct a cipher which is procably secure against differential cryptanalysis$^{[3]}$ and it was suspected to have a large complexity for its implementation.Inthis paper the two improved results for the dfficidnt hardware and software implementation.

The smooth topology optimization for bi-dimensional functionally graded structures using level set-based radial basis functions

  • Wonsik Jung;Thanh T. Banh;Nam G. Luu;Dongkyu Lee
    • Steel and Composite Structures
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    • v.47 no.5
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    • pp.569-585
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    • 2023
  • This paper proposes an efficient approach for the structural topology optimization of bi-directional functionally graded structures by incorporating popular radial basis functions (RBFs) into an implicit level set (ILS) method. Compared to traditional element density-based methods, a level set (LS) description of material boundaries produces a smoother boundary description of the design. The paper develops RBF implicit modeling with multiquadric (MQ) splines, thin-plate spline (TPS), exponential spline (ES), and Gaussians (GS) to define the ILS function with high accuracy and smoothness. The optimization problem is formulated by considering RBF-based nodal densities as design variables and minimizing the compliance objective function. A LS-RBF optimization method is proposed to transform a Hamilton-Jacobi partial differential equation (PDE) into a system of coupled non-linear ordinary differential equations (ODEs) over the entire design domain using a collocation formulation of the method of lines design variables. The paper presents detailed mathematical expressions for BiDFG beams topology optimization with two different material models: continuum functionally graded (CFG) and mechanical functionally graded (MFG). Several numerical examples are presented to verify the method's efficiency, reliability, and success in accuracy, convergence speed, and insensitivity to initial designs in the topology optimization of two-dimensional (2D) structures. Overall, the paper presents a novel and efficient approach to topology optimization that can handle bi-directional functionally graded structures with complex geometries.

Cloning and Characterization of Liver cDNAs That Are Differentially Expressed between Chicken Hybrids and Their Parents

  • Sun, Dong-Xiao;Wang, Dong;Yu, Ying;Zhang, Yuan
    • Asian-Australasian Journal of Animal Sciences
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    • v.18 no.12
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    • pp.1684-1690
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    • 2005
  • Using mRNA differential display technique, we investigated differential gene expression in hybrids relative to their parents in a diallel cross involving four chicken breeds in order to provide an insight into the molecular basis of heterosis in chicken. The results indicated that there was extensive differential gene expression between chicken F1 hybrids and their parents which was classified into four kinds of patterns as following: (1) bands only detected in hybrid F1; (2) bands only absent in hybrid F1; (3) bands only detected in parent P1 or P2; (4) bands absent in parent P1 or P2. Forty-two differentially expressed cDNAs were cloned and sequenced, and their expression patterns were confirmed by Reverse-Northern dot blot. Sequence analysis and database searches revealed that genes showed differential expression between hybrid and parents were regulatory and functional genes involved in metabolism, mRNA splicing, transcriptional regulation, cell cycles and protein modification. These results indicated that hybridization between two parents can cause changes in expression of a variety of genes. In conclusion, that the altered pattern of gene expression in hybrids may be responsible for heterosis in chickens.

Comparing Effects of Academic Achievement on Academic Self-Concept in Adolescent Siblings: The Mediating Role of Differential Maternal Treatment (형제와 비교한 아동의 학업성취가 자신의 학업적 자아개념에 미치는 영향: 어머니의 차별적 양육행동의 매개적 역할)

  • We, Hyun-Ah;Park, Seong-Yeon
    • Journal of the Korean Home Economics Association
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    • v.49 no.1
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    • pp.17-25
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    • 2011
  • This study examined the impact of academic achievement and maternal differential treatment on academic self-concept among adolescent siblings. The sample consisted of 438 students attending middle schools in Seoul (M = 15.2 yrs.), who had a sibling. Data were analyzed using Structural Equation Modeling. Academic achievement compared with a sibling and maternal differential treatment had direct effects on academic self-concept, indicating that children with higher academic achievement scores than their sibling and with perceived maternal differential treatment reported a significantly higher academic self-concept. Also, the relationship between academic achievement as compared with a sibling and academic self-concept was mediated by maternal differential treatment. These findings could be used in educational settings as a basis for improving the academic self-concept of early adolescents.

Web based General Partial Differential Equation Solver using Multidimensional Finite Element Method - I. Model Development - (다차원 유한요소법을 이용한 웹 기반의 범용적 편미분 방정식 해석 모형의 개발 및 적용 - I. 모형의 개발 -)

  • Kim, Joon-Hyun;Han, Young-Han
    • Journal of Environmental Impact Assessment
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    • v.10 no.4
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    • pp.319-326
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    • 2001
  • This study is aimed at the development of a comprehensive web-based partial differential equation solver (WPDES) using multidimensional finite element method, which can be operated on the basis of world wide web. Overall issues of engineering and environmental information management and facility control could be implemented using this solver. This paper describes the development technique of the model, which is first part on development of partial differential equation solver. Conventional commercial general solver of computational fluid dynamics problems were investigated. All the relevant environmental models were analyzed to develop integrated environmental management system using WPDES. The governing equations and the parameters of investigated models were analyzed and integrated. Several numerical modules were invented for each partial differential term in partial differential equation of many related modeling problems. Each module was coded in the fashion of object oriented method, and was combined independently for the overall governing equation. WPDES has unique characteristic, which can analyze the problem through the suitable combination of modules without development of additional models for each environment problem with different governing equation, main variables, and parameters.

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