This report presents a characterization of the quantum mechanical
analog of the Gibbs canonical density. The approach is
based on a method developed by D.S. Carter for the case of classical
statistical mechanics, whic ...
It is well- known that a real number can be defined as an equivalence
class of fundamental rational sequences. In fact, it is also possible
to define a real number as an equivalence class of sequences of
nested closed ...
The computation of symmetric functions can be tedious.
For this reason, the object of this paper is to devise a computer
program so that these symmetric functions can be handled automatically.
The contribution of this ...
This thesis contains a collection of summation formulas for
the greatest integer part function. Proofs are supplied for original
results and for those formulas which are stated without proof in the
literature. Referen ...
Various properties of the integers in two quadratic number
fields will be examined. Among these will be the property of unique
prime factorization. When unique prime factorization breaks down,
as will be the case in o ...