This thesis brings together under one cover a survey
of the history of the real number e along with a study
of the present state of its theory and calculation.
A study of the running time of several known algorithms and several new algorithms to compute the n[superscript th] element of the Fibonacci sequence is presented. Since the size of the n[superscript th] Fibonacci number grows exponentially with n, the number of bit operations, instead of the number of integer...
This study was concerned with the flow of a magnetic self-propelled
ferrohydrodynamic fluid in a horizontal circular tube subjected
to axially varying temperature and magnetic field. The first
phase of the study involved the analytical solution to the governing
equations for the velocity and temperature profiles within the fully
developed...
It is well known that the Fibonacci numbers can be expressed in the
form Round {1/√5 λ₀[superscript n]} where λ₀ = (1 + √5)/2. [Knu75] We look at integer sequences which are solutions to non-negative difference equations and show that if the equation is 1-Bounded then the solution can be...