• 제목/요약/키워드: fundamental informatics

검색결과 87건 처리시간 0.027초

WIENER-HOPF EQUATIONS TECHNIQUE FOR VARIATIONAL INEQUALITIES

  • Noor, Muhammad Aslam
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.813-831
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    • 2000
  • In recent years, the theory of Wiener-Hopf equations has emerged as a novel and innovative technique for developing efficient and powerful numerical methods for solving variational inequalities and complementarity problems. In this paper, we provide an account of some of the fundamental aspects of the Wiener-Hopf equations with major emphasis on the formulation, computational algorithms, various generalizations and their applications. We also suggest some open problems for further research with sufficient information and references.

CALCULATION OF SOME TOPOLOGICAL INDICES OF SPLICES AND LINKS OF GRAPHS

  • Ashra, Ali Reza;Hamzeh, Asma;Hossein-Zadeh, Samaneh
    • Journal of applied mathematics & informatics
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    • 제29권1_2호
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    • pp.327-335
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    • 2011
  • Explicit formulas are given for the first and second Zagreb index, degree-distance and Wiener-type invariants of splice and link of graphs. As a consequence, the first and second Zagreb coindex of these classes of composite graphs are also computed.

APPROXIMATE REACHABLE SETS FOR RETARDED SEMILINEAR CONTROL SYSTEMS

  • KIM, DAEWOOK;JEONG, JIN-MUN
    • Journal of applied mathematics & informatics
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    • 제38권5_6호
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    • pp.469-481
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    • 2020
  • In this paper, we consider a control system for semilinear differential equations in Hilbert spaces with Lipschitz continuous nonlinear term. Our method is to find the equivalence of approximate controllability for the given semilinear system and the linear system excluded the nonlinear term, which is based on results on regularity for the mild solution and estimates of the fundamental solution.

JUMP DISCONTINUITY IN TWO DIMENSIONS

  • Shim, Hong-Tae;Park, Chin-Hong
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.613-620
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    • 2004
  • The concept of Gibbs’ phenomenon has not been made for higher dimension in wavelets. In this paper we extend the concept in two dimensional wavelets. We give the fundamental concept of jump discontinuity in two dimensions. We provide the criteria for the existence of Gibbs phenomenon for both separable and tensor product wavelets.

AN EFFICIENT ALGORITHM TO SOLVE CONNECTIVITY PROBLEM ON TRAPEZOID GRAPHS

  • Ghosh, Prabir K.;Pal, Madhumangal
    • Journal of applied mathematics & informatics
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    • 제24권1_2호
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    • pp.141-154
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    • 2007
  • The connectivity problem is a fundamental problem in graph theory. The best known algorithm to solve the connectivity problem on general graphs with n vertices and m edges takes $O(K(G)mn^{1.5})$ time, where K(G) is the vertex connectivity of G. In this paper, an efficient algorithm is designed to solve vertex connectivity problem, which takes $O(n^2)$ time and O(n) space for a trapezoid graph.

FUNDAMENTAL STABILITIES OF THE NONIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY NORMED SPACES

  • Bodaghi, Abasalt;Park, Choonkil;Rassias, John Michael
    • 대한수학회논문집
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    • 제31권4호
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    • pp.729-743
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    • 2016
  • In the current work, the intuitionistic fuzzy version of Hyers-Ulam stability for a nonic functional equation by applying a fixed point method is investigated. This way shows that some fixed points of a suitable operator can be a nonic mapping.

A RELATIVE RÉNYI OPERATOR ENTROPY

  • MIRAN JEONG;SEJONG KIM
    • Journal of applied mathematics & informatics
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    • 제41권1호
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    • pp.123-132
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    • 2023
  • We define an operator version of the relative Rényi entropy as the generalization of relative von Neumann entropy, and provide its fundamental properties and the bounds for its trace value. Moreover, we see an effect of the relative Rényi entropy under tensor product, and show the sub-additivity for density matrices.

A NOTE ON IMPRECISE GROUP AND ITS PROPERTIES

  • JABA RANI NARZARY;SAHALAD BORGOYARY
    • Journal of applied mathematics & informatics
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    • 제42권3호
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    • pp.521-538
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    • 2024
  • In this paper, using the notion of the imprecise set, the idea of an imprecise group is introduced including some examples. The two key rules of classical set theory are obeyed by this extended version of fuzzy sets, which the existing complement definition of a fuzzy set failed to do. With the support from general group theory, the paper also provides some fundamental properties of an imprecise group here. Additionally, it includes a few characteristics of imprecise subgroups, and abelian imprecise group.

CS2013 지식영역의 계량화를 통한 컴퓨터과학 영역별 우선순위 설정 (Setting Priorities by Computer Science Area Through Quantification of CS2013 Knowledge Area)

  • 유병건;김자미;이원규
    • 컴퓨터교육학회논문지
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    • 제20권3호
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    • pp.25-33
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    • 2017
  • 고등교육의 질 관리를 중요하게 생각한 국가들은 다양한 제도나 방법을 통해 교육의 질 강화를 진행하고 있다. 컴퓨터과학 분야에서도 고등교육의 질 관리를 위해 교육과정 표준을 구성하는 등 끊임없이 노력해 왔다. 컴퓨터과학 분야 교육과정 표준에서 언급한 지식영역의 우선순위를 파악해 보면, 내용체계 구성에 시사점을 줄 수 있을 것이다. 따라서 CS2013을 토대로 내용요소에 대한 Tier1, Tier2, Elective의 시수와 세부영역의 수를 중심으로 순위를 도출하였다. 분석결과, 가장 높은 우선순위를 지닌 지식영역으로는 Software Development Fundamentals이었다. 해당 지식영역은 CS2013에서 기초 요소이기 때문에 초급코스로 권장한다고 기술되기도 하였다. 도출되어진 영역별 우선순위가 향후 초중등 정보교육과정이나 고등 교양 정보교육과정, 교원양성기관의 정보교육과정 설정에 시사점을 줄 수 있을 것이다.

담음변증(痰飮辨證) 설간(設間) 개발(開發) (Development of Questionnaire for Damum Patternization)

  • 박재성;양동훈;김민용;이상철;박영재;박영배
    • 대한한의진단학회지
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    • 제10권1호
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    • pp.64-77
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    • 2006
  • Objectives Damum is a general and fundamental concept in Oriental me야cine that deals with symptoms of diseases. but as far as Damum is concerned there has not been significant researches in terms of clinical medicine but only researches in the field of medical story. Therefore hopefully this study could contributes to the development of Damum which is very essential concept in Oriental medicine. Methods First of all we have made basic twenty-three items list through conducting researches on documents in regards to Damum, and finally designed twenty-nine survey inquiry by so called Delphi study-method that is based on opinions of professional groups. we have conducted a survey of twenty-nine inquirys on sixty-one cases and asked three Oriental medical doctors who are Damum specialists to diagnose and measure clinical values regarding Damum, followed by studying interrelationship between survey results and clinical values. conclusively we have made out a final Damum questionnaire form by selecting significant question items based on the results of the study. Results According to the analysis of the studies, fourteen question items were selected. Conclusions As far as Damum discriminant is concerned, additional verifing processes are needed to be carried out through more clinical cases. And it is through that more clinical studies are needed to be done in regards to Damum.

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