• 제목/요약/키워드: science and arts

검색결과 3,093건 처리시간 0.034초

THE DOUBLE FUZZY ELZAKI TRANSFORM FOR SOLVING FUZZY PARTIAL DIFFERENTIAL EQUATIONS

  • Kshirsagar, Kishor A.;Nikam, Vasant R.;Gaikwad, Shrikisan B.;Tarate, Shivaji A.
    • 충청수학회지
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    • 제35권2호
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    • pp.177-196
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    • 2022
  • The Elzaki Transform method is fuzzified to fuzzy Elzaki Transform by Rehab Ali Khudair. In this article, we propose a Double fuzzy Elzaki transform (DFET) method to solving fuzzy partial differential equations (FPDEs) and we prove some properties and theorems of DFET, fundamental results of DFET for fuzzy partial derivatives of the nth order, construct the Procedure to find the solution of FPDEs by DFET, provide duality relation of Double Fuzzy Laplace Transform (DFLT) and Double Fuzzy Sumudu Transform(DFST) with proposed Transform. Also we solve the Fuzzy Poisson's equation and fuzzy Telegraph equation to show the DFET method is a powerful mathematical tool for solving FPDEs analytically.

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR A KIND OF RAYLEIGH EQUATION WITH A DEVIATING ARGUMENT

  • Zhou, Qiyuan;Xiao, Bing;Yu, Yuehua;Liu, Bingwen;Huang, Lihong
    • 대한수학회지
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    • 제44권3호
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    • pp.673-682
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    • 2007
  • In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Rayleigh equation with a deviating argument of the form $x'+f(x'(t))+g(t,\;x(t-\tau(t)))=p(t)$.

PERTURBED FRACTIONAL NEWTON-TYPE INEQUALITIES BY TWICE DIFFERENTIABLE FUNCTIONS

  • Fatih Hezenci;Hasan Kara;Huseyin Budak
    • 호남수학학술지
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    • 제45권2호
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    • pp.285-299
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    • 2023
  • In the present paper, we establish some perturbed Newton-type inequalities in the case of twice differentiable convex functions. These inequalities are established by using the well-known Riemann-Liouville fractional integrals. With the aid of special cases of our main results, we also give some previously obtained Newton-type inequalities.

HYERS-ULAM STABILITY OF FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS WITH RANDOM IMPULSE

  • Dumitru Baleanu;Banupriya Kandasamy;Ramkumar Kasinathan;Ravikumar Kasinathan;Varshini Sandrasekaran
    • 대한수학회논문집
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    • 제38권3호
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    • pp.967-982
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    • 2023
  • The goal of this study is to derive a class of random impulsive non-local fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild solution of the aforementioned system are acquired by Kransnoselskii's fixed point theorem. Furthermore through Ito isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system is evaluated using Lipschitz condition.

Infocommunication Technologies In Education: Problems Of Implementation

  • Rebenok, Vadym;Al-Namri, Roza;Butko, Oleksandr;Fedorenko, Viktoriia;Tereshchenko, Olha;Tsimokh, Nataliia
    • International Journal of Computer Science & Network Security
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    • 제21권12호
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    • pp.41-44
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    • 2021
  • This article proposes to consider the experience of using information and communication technologies in educational processes and social practices of Ukrainian universities. The history of the introduction of information and communication technologies in the development of the higher education system is considered, the system of organizing the information space of universities is investigated. The distinctive features of the structure of a single information space, as well as distance e-learning technologies are highlighted. Empirical material obtained in the course of sociological research is used to discuss specific examples of the use of ICT in universities.

Formation of Information and Communication Competence of a University Teacher in the Sphere of Art and Culture

  • Merezhko, Mikhail Evgenyevich;Enina, Svetlana Alexandrovna;Kushchenko, Elena Sergeevna;Zamanova, Irina Fedoseevna;Kovalenko, Victor Ivanovich
    • International Journal of Computer Science & Network Security
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    • 제22권11호
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    • pp.189-191
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    • 2022
  • The article is devoted to the study of the prerequisites and stages of the formation of information and communication competence, its place in the system of professional competence of a teacher, and the way its development occurs. Information and communication competence is presented in the paper as a systemic property of the subject's personality, and the components of this system, namely the activity, communication, reflexive, and cognitive components, are disclosed.

초등학교 과학교과서에 나타난 과학-예술통합 활동의 분석 (An Analysis of Science-Arts Integration Activities in Elementary School Science Textbooks of Korea)

  • 문지영;송주연;김성원
    • 한국과학교육학회지
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    • 제32권5호
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    • pp.890-902
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    • 2012
  • 본 연구의 목적은 과학 교과서에 나타난 과학-예술통합 활동의 현황을 파악하고, 예술적 요소를 탐색하는 것이다. 이를 위해 2007 개정 교육과정 초등학교 과학 교과서에 나타난 과학-예술통합 활동을 선정하고, 이를 예술 활동의 형태, 기능, 역할에 따라 분석하였다. 또한 Baron과 Eisner(1997)의 디자인 요소를 바탕으로 예술적 요소 분석틀을 개발하여 과학-예술통합 활동에 포함된 예술적 요소를 분석하였다. 연구결과, 교과서에 제시된 과학-예술통합 활동에 사용된 예술 형태로는 미술이 가장 많았고, 두 가지 형태를 가진 혼합형, 언어 등이 많이 나타났다. 예술 활동의 기능 측면에서는 학생들에게 직접적으로 예술 활동을 요구하는 직접적 기능이 많은 것을 알 수 있었다. 또한 예술 활동의 역할에 관련해서는 응용 및 적용이 가장 높게 나타났으며, 동기 유발과 개념 이해가 같은 비율로 나타났다. 예술적 요소 분석 결과에서는 공감의 증진 요소가 가장 많이 나타나고 있음을 알 수 있었다. 분석 결과를 바탕으로 미술 형태 위주의 과학-예술통합 활동뿐 아니라 음악, 무용 등 다양한 예술형태를 사용하는 것이 필요하다고 여겨지며, 예술 활동의 역할측면에서도 동기 유발, 개념 이해도 강조해야 할 것이다. 또한 다양한 예술적 요소를 고려한 과학-예술통합 활동의 개발이 이루어질 필요가 있다.

Multimedia Technologies in Modern Educational Practices: Audiovisual Context

  • Mozhenko, Mykola;Donchyk, Andrii;Yushchenko, Anton;Suchkov, Denys;Yelenskyi, Roman
    • International Journal of Computer Science & Network Security
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    • 제22권3호
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    • pp.141-146
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    • 2022
  • In modern educational practices, the issue of dependence on the experience of using multimedia by students and the adoption of technologies in education, the perception of their benefits and effectiveness in blended learning is little covered. The purpose of the academic paper lies in assessing the audiovisual context of multimedia technologies, its acceptance by students in practice on the example of using video lectures in blended learning. The methodology is based on an online survey of 120 students of Ukrainian universities who have assessed the experience level in using video lectures, as well as the constructs as follows: Technology Characteristics, Fit, Perceived Usefulness, Perceived Ease of Use, Attitude, Intention to Use, Actual Use. The results show that the majority of students use video lectures to a certain extent in their training (20,8% have used technology to a certain extent, 49,2% have often used technology in training, 20% are regular users of technology). It has been revealed that most students agree with the relevance of video lectures, the accuracy of lectures, the brevity of lectures, the clarity of lectures, as well as the high quality of lecture videos. It has been estimated that 42,5% believe that lecture videos are an effective tool towards supporting students in hybrid learning. 26,7% of students consider video lectures to be appropriate technologies for online / hybrid courses. In general, 37,5% of respondents find video lectures useful; however, 35,0% do not agree with this statement. 83,3% of students have rated the high level of ease of access to video. In total, 95% of students find lecture videos easy to use. In general, positive attitude of students to video lectures has been revealed.