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Application of Extended Complex Plane and Riemann Sphere

Egahi, M. and Agbata, B.C. and Shior, M.M. and Iornumbe, S.I. and Obeng-Denteh, W. (2021) Application of Extended Complex Plane and Riemann Sphere. International Journal of Mathematics and Statistics Studies, 9 (4). pp. 39-45. ISSN 2053-2229 (Print), 2053-2210 (Online)

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    Abstract

    In this article, description is made of the application of extended complex plane and stereographic projection is used to bijectively map points of the extended complex plane to the Riemann Sphere of a unit diameter. The relationship between the north pole of the Riemann sphere (N) and the point at infinity of the extended complex plane is well established. The distance between the north pole (N) and a point P in the plane is derived mathematically and we stated general applications of extended complex plane. Some striking figures which aided our step-by- step explanations were also presented.

    Item Type: Article
    Uncontrolled Keywords: complex plane, Riemann sphere, infinity, stereographic
    Subjects: Q Science > Q Science (General)
    Depositing User: Professor Mark T. Owen
    Date Deposited: 28 Mar 2022 13:23
    Last Modified: 28 Mar 2022 13:23
    URI: https://tudr.org/id/eprint/146

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