• Title/Summary/Keyword: sharing partially values

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ON PARTIAL VALUE SHARING RESULTS OF MEROMORPHIC FUNCTIONS WITH THEIR SHIFTS AND ITS APPLICATIONS

  • Noulorvang, Vangty;Pham, Duc Thoan
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1083-1094
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    • 2020
  • In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-order less than one sharing partially three or four small periodic functions with their shifts. As an application, some sufficient conditions for periodicity of meromorphic functions are given. Our results improve and extend previous results of W. Lin, X. Lin and A. Wu [11].

MEROMORPHIC FUNCTIONS PARTIALLY SHARED VALUES WITH THEIR SHIFTS

  • Lin, Weichuan;Lin, Xiuqing;Wu, Aidi
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.2
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    • pp.469-478
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    • 2018
  • We prove some uniqueness theorems of nonconstant meromorphic functions partially sharing values with their shifts. As an application, we obtain a sufficient condition on periodic meromorphic functions. Moreover, some examples are given to illustrate that the conditions are sharp and necessary.

ON A UNIQUENESS QUESTION OF MEROMORPHIC FUNCTIONS AND PARTIAL SHARED VALUES

  • Imrul Kaish;Rana Mondal
    • Communications of the Korean Mathematical Society
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    • v.39 no.1
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    • pp.105-116
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    • 2024
  • In this paper, we prove a uniqueness theorem of non-constant meromorphic functions of hyper-order less than 1 sharing two values CM and two partial shared values IM with their shifts. Our result in this paper improves and extends the corresponding results from Chen-Lin [2], Charak-Korhonen-Kumar [1], Heittokangas-Korhonen-Laine-Rieppo-Zhang [9] and Li-Yi [12]. Some examples are provided to show that some assumptions of the main result of the paper are necessary.

MEROMORPHIC FUNCTION PARTIALLY SHARES SMALL FUNCTIONS OR VALUES WITH ITS LINEAR c-SHIFT OPERATOR

  • Banerjee, Abhijit;Maity, Sayantan
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.5
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    • pp.1175-1192
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    • 2021
  • In this paper, we have studied on the uniqueness problems of meromorphic functions with its linear c-shift operator in the light of partial sharing. Our two results improve and generalize two very recent results of Noulorvang-Pham [Bull. Korean Math. Soc. 57 (2020), no. 5, 1083-1094] in some sense. In addition, our other results have improved and generalized a series of results due to Lü-Lü [Comput. Methods Funct. Theo. 17 (2017), no. 3, 395-403], Zhen [J. Contemp. Math. Anal. 54 (2019), no. 5, 296-301] and Banerjee-Bhattacharyya [Adv. Differ. Equ. 509 (2019), 1-23]. We have exhibited a number of examples to show that some conditions used in our results are essential.

Effect of SNS Sports Community participants' Perception of Sports Value on Perception of Fun and Sports Activities

  • Wei Zhong;Sunmun Park
    • International Journal of Advanced Culture Technology
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    • v.12 no.2
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    • pp.416-426
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    • 2024
  • This study shows that, in a situation where the influence of the mobile Internet is increasing in all areas of modern society, SNS users' participation in sports has a significant impact on the development of the sports market and the public's exercise methods and sports awareness. Therefore, the purpose of this study is to determine the impact of awareness of sports values through SNS on participation in sports activities. In order to achieve this research purpose, the population of the study was adults who had experience participating in SNS sports communities. The sampling method used was convenience sampling, and a total of 300 people, 150 men and 150 women, were selected as research subjects through sharing the questionnaire link online and via email. The survey tool used was a questionnaire, and it was modified and supplemented for this study based on a questionnaire that had secured reliability and validity in previous studies. The statistical analysis used for data analysis was frequency analysis, exploratory factor analysis, reliability analysis, and multiple regression analysis using SPSS Windows 20.0 Version. The conclusions obtained in this study through data analysis according to these methods and procedures are as follows. First, SNS sports community participants' perception of sports value was found to partially affect their perception of fun. Second, SNS sports community participants' perception of sports value was found to partially affect sports activities. Third, SNS sports community participants' perception of the fun of sports partially influenced sports activities.

Monitoring and Preventive Preservation of Cultural Heritages to Maintain Original Wooden Architectural Cultural Heritage (목조건축문화재 원형유지를 위한 문화재돌봄 모니터링과 예방보존)

  • CHUN Kyoungmee
    • Korean Journal of Heritage: History & Science
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    • v.56 no.4
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    • pp.192-214
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    • 2023
  • Wooden architectural cultural heritages are one of the visible legacies that show the national's identity. Even when the concept of 'the original' of cultural heritages was not accurately understood, the emphasis of preservation and management of cultural heritages was placed on 'preservation of the original form' or 'maintenance of the original form'. Moreover, these days, following the trend of international preservation principles, cultural heritages are considered important as "values as historical objects." This paper is the result of an attempt to determine the scope and content of what parts should be monitored to maintain the original form of wooden architectural cultural heritage. The first thing to be done in monitoring wooden architectural cultural heritage is to check the condition of the ground and foundation. The second is the column. This is because the instability of the column causes damage to the joint with each member and the fitting part, resulting in physical changes leading to damage to the wall. The third is monitor the roof tiles. If the leak continues into the building due to the separation or damage of the roof, the defect should be partially dismantled and repaired, so it should be monitored to maintain its original shape as much as possible. The monitoring range of the base, column, and roof serves as a reference point for identifying what damage is being done to the relevant cultural heritages. In other words, the data at the time when monitoring began becomes the 'original' for the year. Alternatives based on the analysis of monitoring for the preservation of original cultural heritages should be actively introduced. In addition, by sharing the current state and situation of cultural heritages as a result of monitoring with various related organizations, preventive preservation should be established rather than preservation of cultural heritages by "intervention."