Journal of Mathematical Techniques and Computational Mathematics(JMTCM)

Equalix Tecnologia LTDA, Florianópolis, SC, Brazil

Publications

• Research Article   
  Ulianov Elliptical Transform: A New Paradigm for Ellipse Manipulation
  Author(s): Policarpo Yoshin Ulianov*
  
  This paper introduces a groundbreaking advancement in the field of trigonometry: the development of Elliptical Trigonometry, a new area of mathematics founded on the Ulianov Elliptical Transform. By redefining traditional trigonometric functions to fit elliptical geometries, this research establishes a new framework for understanding and calculating angles, distances, and trajectories in elliptical shapes. These functions—elliptical cosine and sine—extend beyond the traditional applications, providing tools for more precise modeling in fields such as astrophysics, designer, and aerospace engineering. The potential impact of this discovery, akin to the historical significance of prime numbers and Boolean logic, opens new pathways in mathematical research and applied sciences. Additionally, the paper explores the implications of the elliptical trigonometric functio.. Read More»
  

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