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

Keywords

Related Articles

Invariant Compact Sets of Nonexpansive Iterated Function Systems

In this work we prove the existence of invariant compact sets under the action of nonexpansive iterated functions systems on normed spaces. We generalized the previous result to convex metric spaces and we also show that...

The Length-Biased Weighted Erlang Distribution

We introduce and study a new continuous model so called, the length-biased weighted Erlang (LBWE) distribution. Some mathematical properties of the new distribution such as, raw and incomplete moments, generating functio...

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...

A Computation of the Casimir Energy on a Parallelepiped

The original computations deriving the Casimir energy and force consists of first taking limits of the spectral zeta function and afterwards analytically extending the result. This process of computation presents a weakn...

Dynamic Behavior of Bernoulli-Euler Beam with Elastically Supported Boundary Conditions under Moving Distributed Masses and Resting on Constant Foundation

The dynamic behavior of uniform Bernoulli-Euler beam with elastically supported boundary conditions under moving distributed masses and resting on constant foundation is investigated in this research work. The governing...

Download PDF file
  • EP ID EP338419
  • DOI 10.9734/ARJOM/2017/33206
  • Views 81
  • Downloads 0

How To Cite

Nehemie T. Donfagsiteli (2017). Properties and Applications of Some Algebraic Transformations from the Conditional Function. Asian Research Journal of Mathematics, 5(2), 1-25. https://europub.co.uk./articles/-A-338419