• Title/Summary/Keyword: Convergent Functions

Search Result 106, Processing Time 0.023 seconds

Intuitionistic Fuzzy Circles

  • Kim, Mi-Hye
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.5 no.2
    • /
    • pp.161-165
    • /
    • 2004
  • In this paper, we introduce the intuitionistic fuzzy circle with a pair of degree which are membership and nonmembership functions, and investigate the properties of them. And also we experiment with developing fuzzy geometry by limiting process of the notion of intuitionistic fuzzy circles which restricted the notion of fuzzy spheres in order to apply to 2-D image.

  • PDF

Free Vibration Analysis of Horizontally Sinusoidal Curved Beams in Cartesian Coordinates (직교 좌표계에 의한 정현형 수평 곡선보의 자유진동 해석)

  • Lee, Byoung-Koo;Lee, Tae-Eun;Kang, Hee-Jong;Kim, Kweon-Sik
    • Proceedings of the Computational Structural Engineering Institute Conference
    • /
    • 2002.10a
    • /
    • pp.11-16
    • /
    • 2002
  • The differential equations governing free vibrations of the elastic, horizontally curved beams with unsymmetric axis are derived in Cartesian coordinates rather than in polar coordinates, in which the effect of torsional inertia is included. Frequencies are computed numerically for the sinusoidal curved beams with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported, with and without torsional inertia, as functions of three non-dimensional system parameters: the horizontal rise to chord length ratio, the span length to chord length ratio, and the slenderness ratio.

  • PDF

A semi-analytical FE method for the 3D bending analysis of nonhomogeneous orthotropic toroidal shells

  • Wu, Chih-Ping;Li, En
    • Steel and Composite Structures
    • /
    • v.39 no.3
    • /
    • pp.291-306
    • /
    • 2021
  • Based on Reissner's mixed variational theorem (RMVT), the authors develop a semi-analytical finite element (FE) method for a three-dimensional (3D) bending analysis of nonhomogeneous orthotropic, complete and incomplete toroidal shells subjected to uniformly-distributed loads. In this formulation, the toroidal shell is divided into several finite annular prisms (FAPs) with quadrilateral cross-sections, where trigonometric functions and serendipity polynomials are used to interpolate the circumferential direction and meridian-radial surface variations in the primary field variables of each individual prism, respectively. The material properties of the toroidal shell are considered to be nonhomogeneous orthotropic over the meridianradial surface, such that homogeneous isotropic toroidal shells, laminated cross-ply toroidal shells, and single- and bi-directional functionally graded toroidal shells can be included as special cases in this work. Implementation of the current FAP methods shows that their solutions converge rapidly, and the convergent FAP solutions closely agree with the 3D elasticity solutions available in the literature.

Prediction of hub genes of Alzheimer's disease using a protein interaction network and functional enrichment analysis

  • Wee, Jia Jin;Kumar, Suresh
    • Genomics & Informatics
    • /
    • v.18 no.4
    • /
    • pp.39.1-39.8
    • /
    • 2020
  • Alzheimer's disease (AD) is a chronic, progressive brain disorder that slowly destroys affected individuals' memory and reasoning faculties, and consequently, their ability to perform the simplest tasks. This study investigated the hub genes of AD. Proteins interact with other proteins and non-protein molecules, and these interactions play an important role in understanding protein function. Computational methods are useful for understanding biological problems, in particular, network analyses of protein-protein interactions. Through a protein network analysis, we identified the following top 10 hub genes associated with AD: PTGER3, C3AR1, NPY, ADCY2, CXCL12, CCR5, MTNR1A, CNR2, GRM2, and CXCL8. Through gene enrichment, it was identified that most gene functions could be classified as integral to the plasma membrane, G-protein coupled receptor activity, and cell communication under gene ontology, as well as involvement in signal transduction pathways. Based on the convergent functional genomics ranking, the prioritized genes were NPY, CXCL12, CCR5, and CNR2.

A ROBUST NUMERICAL TECHNIQUE FOR SOLVING NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY LAYER

  • Cakir, Firat;Cakir, Musa;Cakir, Hayriye Guckir
    • Communications of the Korean Mathematical Society
    • /
    • v.37 no.3
    • /
    • pp.939-955
    • /
    • 2022
  • In this paper, we study a first-order non-linear singularly perturbed Volterra integro-differential equation (SPVIDE). We discretize the problem by a uniform difference scheme on a Bakhvalov-Shishkin mesh. The scheme is constructed by the method of integral identities with exponential basis functions and integral terms are handled with interpolating quadrature rules with remainder terms. An effective quasi-linearization technique is employed for the algorithm. We establish the error estimates and demonstrate that the scheme on Bakhvalov-Shishkin mesh is O(N-1) uniformly convergent, where N is the mesh parameter. The numerical results on a couple of examples are also provided to confirm the theoretical analysis.

On ϑ-quasi-Geraghty Contractive Mappings and Application to Perturbed Volterra and Hypergeometric Operators

  • Olalekan Taofeek Wahab
    • Kyungpook Mathematical Journal
    • /
    • v.63 no.1
    • /
    • pp.45-60
    • /
    • 2023
  • In this paper we suggest an enhanced Geraghty-type contractive mapping for examining the existence properties of classical nonlinear operators with or without prior degenerates. The nonlinear operators are proved to exist with the imposition of the Geraghty-type condition in a non-empty closed subset of complete metric spaces. To showcase some efficacies of the Geraghty-type condition, convergent rate and stability are deduced. The results are used to study some asymptotic properties of perturbed integral and hypergeometric operators. The results also extend and generalize some existing Geraghty-type conditions.

Development of Walkability Search System (보행친화도 검색 시스템 개발)

  • Kim, Eun Jung;An, Donghyeok
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
    • /
    • v.9 no.12
    • /
    • pp.987-997
    • /
    • 2019
  • Walk score, walkablity index of built environmental condition, has developed and used in everyday life in United States. The purpose of this study is to produce walk score in Seoul, and to develop computer-based walk score system for improving it's usage. This study covers city of Seoul, and the unit of spatial analysis is 100m × 100m grid cell. This study uses same methodology with walk score in US, the Geographic Information Systems(GIS) is used for calculating the values of walk score(N=58,062). This study implemented Java-based system that utilizes walk score dataset(latitude, longitude, and walk score). This system provided search functions including both lat/long-based and address-based options. Meanwhile, this system was designed to provide the closest value of walk score in dataset if location did not match the certain points in dataset. This study has significance to provide walk score system being easily available to all.

Space-Efficient Compressed-Column Management for IoT Collection Servers (IoT 수집 서버를 위한 공간효율적 압축-칼럼 관리)

  • Byun, Siwoo
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
    • /
    • v.9 no.1
    • /
    • pp.179-187
    • /
    • 2019
  • With the recent development of small computing devices, IoT sensor network can be widely deployed and is now readily available with sensing, calculation and communi-cation functions at low cost. Sensor data management is a major component of the Internet of Things environment. The huge volume of data produced and transmitted from sensing devices can provide a lot of useful information but is often considered the next big data for businesses. New column-wise compression technology is mounted to the large data server because of its superior space efficiency. Since sensor nodes have narrow bandwidth and fault-prone wireless channels, sensor-based storage systems are subject to incomplete data services. In this study, we will bring forth a short overview through providing an analysis on IoT sensor networks, and will propose a new storage management scheme for IoT data. Our management scheme is based on RAID storage model using column-wise segmentation and compression to improve space efficiency without sacrificing I/O performance. We conclude that proposed storage control scheme outperforms the previous RAID control by computer performance simulation.

KPetro: An Information System for Korean Petroglyph Ruins Supporting the Dedicated Camera Application (KPetro: 전용 카메라 앱을 지원하는 한국 암각화 유적 정보 시스템)

  • Lee, Wookun;Lee, Myung-Joon
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
    • /
    • v.7 no.1
    • /
    • pp.265-276
    • /
    • 2017
  • Korean petroglyphs have been found over a lot of ruins through nation-wide regions including Daegok-ri Bangudae and Cheonjeon-ri in Ulsan. In this paper, we present an information system for Korean petroglyph ruins named KPetro which supports the dedicated camera application and the timeline service. The system provides the services for searching and updating information in various ways over the primary database constructed with the data on petroglyph ruins, which are collected by the Bangudae Petroglyph Institute. In addition, through the camera application developed for the system, users can easily add photos to the appropriate petroglyph ruin according to the GPS information of the location where those photos are taken. Also, the system provides the timeline service showing the photos for a specific petroglyph ruins in order of shooting time. To support both mobile and desktop environments, KPetro provides its functions in a web browser using the HTML5 standard technology and the JavaScript language, enabling the system to be adaptable to various user devices and extendable for its functionalities.

An Algorithm for Generating Suitable Accompaniment in Score-writers (사보 프로그램의 적절한 반주 생성을 위한 알고리즘)

  • Nam, Yong-Wook;Kim, Yong-Hyuk
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
    • /
    • v.6 no.3
    • /
    • pp.31-39
    • /
    • 2016
  • As the computer technology is developed, score-writers that can edit music have more improved functions. A user not only can insert notes, chords, and musical symbols conveniently, but also can listen to music displayed in the score. Existing commercial score-writers make scores look good and play notes through VSTi(Virtual Studio Technology instrument). However chord accompaniment function is so vulnerable that it is hard to know whether or not displayed chords are suitable for music. If a score-writer has a proper function that plays chord sound good to hear, it will be a good reference to band music sheet writers. In this paper, to improve chord playback function in existing score-writers, we propose an algorithm that selects suitable chord tones for chord playback and implemented a program. If we apply this algorithm, the chord play function of a score-writer will be strengthened and resultantly a music sheet writer who makes a band music can make scores more conveniently.