Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 9, 13 November 2023
Open
Access | Article
An approach to simulate basic concepts of mathematics with object-oriented programming
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Abstract
Traditional approaches to using data structures mainly focus on the improvement in algorithm efficiency but rarely take advantage of object-oriented programming that can simulate the definition of mathematic concepts in a way that is similar to human thinking mode, so traditional approaches cannot satisfy the need of simulating sets and their features and operations for mathematics studies. In this paper, the author pointed out the disadvantages of traditional ways, proposed a series of hypotheses describing the relationship between sets and classes such as inheriting and inclusion relationships and a way based on those hypotheses using features of object-oriented programming, and used C#, one of the best object-oriented programming languages, to simulate sets and their features. In addition, for each hypothesis, the author raised examples with C# codes that realize the theory in this paper, clearly showing the approach proposed in this paper and why it is both efficient and elegant.
Keywords
Set Theory, Object-Oriented Programming, C Sharp
References
1. Yang, Z. (2020) Basic concepts. In: Yang, Z. (Eds.) Modern Algebra (4th edition). Higher Education Press Inc., Peking. pp. 2-18.
2. Cai, Z. (2023) Design and Realization of Automatic Stereoscopic Warehouse Control and Management System Based on C#. Ningxia University.
3. Yang, F., Xu, H., Chen, S. (2017) About the Application of C# in the Calculation of Background Value, Line Metal Quantity and Reserves. In: The 9th National Congress and 16th Annual Meeting of the Chinese Society of Mineralogical and Petrographic Geochemistry. Xian,China. pp. 1005-1006.
4. ISO/IEC 14882:2020, Programming languages — C++.
5. Wu, D. (2016) An Empirical Study of the Key C++ Language Features Based on Open-Source Software. Nanjing University.
6. Microsoft. (2023) NET API Browser. https://learn.microsoft.com/en-us/dotnet/api/.
7. Oracle and/or its affiliates. (2023) Java® Platform, Standard Edition & Java Development Kit Version 20 API Specification. https://docs.oracle.com/en/java/javase/20/docs/api/.
8. Microsoft. (2023) C# reference. https://learn.microsoft.com/en-us/dotnet/csharp/language-reference/.
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10. Purwanto. (2020) Construction of multiplicative groups in modular arithmetic. Journal of Physics: Conference Series. In: 1st International Conference on Mathematics and its Applications (ICoMathApp) 2020. Malang, Indonesia. pp: 1872:012009.
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
- ISBN (Print)
- 978-1-83558-129-2
- ISBN (Online)
- 978-1-83558-130-8
- Published Date
- 13 November 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/9/20240729
- Copyright
- 13 November 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited