Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences

Volume Info.

  • Title

    Proceedings of Machine Learning: Integrating machine learning techniques to advance network security - CONFMPCS 2024

    Conference Date

    2024-08-09

    Website

    https://www.confmpcs.org/

    Notes

     

    ISBN

    978-1-83558-495-8 (Print)

    978-1-83558-496-5 (Online)

    Published Date

    2024-06-24

    Editors

    Anil Fernando, University of Strathclyde

Articles

  • Open Access | Article 2024-06-24 Doi: 10.54254/2753-8818/42/20240110

    The rotational inertia of a rigid body

    The role of moment for inertia in rotational dynamics is equivalent to mass in linear dynamics and can be understood as an object's resistance to rotational motion. It establishes the relationship between several quantities such as angular momentum, angular velocity, torque, and angular acceleration. Accurately calculating the moment of inertia is crucial for designing various rotating systems and mechanical devices in engineering. For example, when dealing with rotating mechanical parts or machines, their moment of inertia ensures stability and performance in design needs to be considered. In physics and engineering, the analysis of rotational motion for rigid bodies relies on the concept of moment of inertia. It allows us to understand the dynamic behavior of a rigid body around an axis, including applications such as rotational stability, gyroscopic motion, and conservation of angular momentum. In this paper, the rotational inertia of a rigid body is studied by different method. Calculating the moment of inertia helps us gain a deeper understanding of an object's inertial properties during rotational motion while providing an important foundation for engineering design, scientific research, and material analysis.

  • Open Access | Article 2024-06-24 Doi: 10.54254/2753-8818/42/20240103

    Fractional fourier transform and its application

    The Fourier Transform (FT) is a linear transformation for the primitive function. It takes some set of functions to be an orthogonal basis. Its physical meaning is to transfer the primitive function onto each set of base functions. Because it can convert functions between the time and frequency domains, the FT is widely employed in many fields. The Fractional Fourier Transform (FrFT) is an improvement and progress based on the FT. This paper will define the FT and FrFT. Then the distinction between FrFT and FT is discussed. Finally, specific examples of its application in processing digital image are provided. FrFT is the process of transforming an image function into a series of periodic functions. The FrFT is used as a powerful mathematical tool to understand non- smooth signals, nonlinear systems and complicated phenomena, which is significant and has broad possibilities in the fields of signal processing, communication, image processing, optical imaging and quantum information processing.

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