Properties and Applications of Some Algebraic Transformations from the Conditional Function
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 5, Issue 2
Abstract
The intended purpose of this paper is to associate with a given function y = f(x) whose derivative admits one to three turning points an infinite number of other functions, called conditional functions (Cdf ),which are related to f in a way similar to that of a bijective function and its inverse. However, the new application called conditional function is defined for both bijective and non bijective functions. The composite map of f and its conditional function is called a transformation , and some applications of these transformations presented in the paper include amongst others, the determination of analytic solutions for a number of algebraic equations describing the dynamics of natural phenomena.
Authors and Affiliations
Nehemie T. Donfagsiteli
Topologized Hamiltonian and Complete Graph
Topological graph theory deals with embedding the graphs in Surfaces, and the graphs considered as a topological spaces. The concept topology extended to the topologized graph by the S1 space and the boundary of every ve...
Problem Solving Framework for Mathematics Discipline
This paper identifies a 4-step framework that can be implemented in almost every mathematics lesson and training setting to move learners towards problem solving effectively. This framework which is built upon existing i...
Monotonicity and Convexity Properties and Some Inequalities Involving a Generalized Form of the Wallis' Cosine Formula
This study is focused on monotonicity and convexity properties of a generalized form of the Wallis’ cosine formula. Specifically, by using the integral form of the Nielsen’s β-function, we prove that the generalized Wall...
Proportiones Perfectus Law and the Physics of the Golden Section
The proportiones perfectus law is introduced. Let σ_x^y=(x+√(x^2+4y))/2 . By definition, in the spectrum 1≤y≤x, x≥1, σ_x^y is a proportione perfectus. With σ_x^y so defined, for an arbitrary positive integer h_1 it is sh...
The General Subclasses of the Analytic Functions and Their Various Properties
The object of the present paper is to introduce and investigate two new general subclasses S* C(α, β; γ) and TS* C(α, β; γ) (α, β ∈ [0,1), γ ∈ [0, 1]) of the analytic functions. Here, we givesucient conditions as well as...