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
- EP ID EP338419
- DOI 10.9734/ARJOM/2017/33206
- Views 80
- Downloads 0
Effects of Electrification of Particles and Viscous Dissipation on Unsteady Two-phase Flow over a Stretching Sheet
Aim: The unsteady boundary layer incompressible fluid (gas) with suspended particulate matter (SPM) with special attention to electrification of particles over a stretching sheet has been investigated. The rate of stretc...
The Impact of Students “Socio-economic Condition on Academic Performance in Public and National University of Bangladesh”
This study is about the impact of students’ socio-economic condition on academic performance in public and national universities. The objectives of the study are to evaluate the factors that influenced the student academ...
On the Regularization-Homotopy Analysis Method for Linear and Nonlinear Fredholm Integral Equations of the First Kind
Fredholm integral equations of the first kind are considered by applying regularization method and the homotopy analysis method. This kind of integral equations are considered as an ill-posed problem and for this reason...
On the Convergence of Gauss-type Proximal Point Method for Smooth Generalized Equations
Let X and Y be Banach spaces and Ω be an open subset of X. Let f : X → Y be a Fr´echet differentiable function on Ω and F : X 2Y be a set valued mapping with closed graph. We deal with smooth generalized equations whic...
A New Lifetime Model with a Bounded Support
In this paper, we introduce a new probability model with a bounded support which possesses an increasing and bathtub failure rate functions. Numerous properties such as the moments, moment generating function, mean devia...