Differential System: A Self-Discovery Approach using Combinatoric and Modular Arithmetic Dynamics


Authors : David Umolo

Volume/Issue : Volume 8 - 2023, Issue 12 - December

Google Scholar : http://tinyurl.com/2bm3kawz

Scribd : http://tinyurl.com/ybtf5mks

DOI : https://doi.org/10.5281/zenodo.10468569

Abstract : This study provides a new dimension (shortest route) to handling and solving differential problems involving reiterative or successive differentiation using the combinatoric and modular arithmetic techniques. The application of the technique is identified to be very easy to apply in dealing with higher order differentiation of linear, trigonometric and exponential functions with attention drawn to the resulting identities and signs. The successive differentiation of a function with negative power is also explored and validated. The study is therefore targeted to aid learning, teaching and applications.

Keywords : Combinatoric, modular, differentiation, trigonometric, and successive.

This study provides a new dimension (shortest route) to handling and solving differential problems involving reiterative or successive differentiation using the combinatoric and modular arithmetic techniques. The application of the technique is identified to be very easy to apply in dealing with higher order differentiation of linear, trigonometric and exponential functions with attention drawn to the resulting identities and signs. The successive differentiation of a function with negative power is also explored and validated. The study is therefore targeted to aid learning, teaching and applications.

Keywords : Combinatoric, modular, differentiation, trigonometric, and successive.

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