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A non-Newtonian conics in multiplicative analytic geometry

Aykut Has, Beyhan Yılmaz

2024TURKISH JOURNAL OF MATHEMATICS14 citationsDOIOpen Access PDF

Abstract

In this study, conics (circle, ellipse, hyperbola) are characterized by taking into account basic multiplicationoperations in multiplicative space. For this purpose, firstly multiplicative axes and regions are introduced. Additionally,the multiplicative cone definition is given and visualized on the figure. General definitions and theorems of non-Newtonianconics are given. Additionally, examples were given and drawings were made to make the resulting characterizations andtheorems more memorable.

Topics & Concepts

MathematicsConic sectionMultiplicative functionGeometryNewtonian fluidMathematical analysisPure mathematicsCalculus (dental)Classical mechanicsPhysicsDentistryMedicineMathematics and ApplicationsAdvanced Banach Space TheoryDigital Image Processing Techniques
A non-Newtonian conics in multiplicative analytic geometry | Litcius