Department of Mathematics
http://hdl.handle.net/1957/13737
Thu, 17 Apr 2014 12:36:07 GMT2014-04-17T12:36:07ZA construction of the real numbers using nested closed intervals
http://hdl.handle.net/1957/47396
A construction of the real numbers using nested closed intervals
Huang, Nancy Mang-ze
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 rational intervals. This paper is devoted to the latter
case.
Graduation date: 1968
Fri, 26 Apr 1968 00:00:00 GMThttp://hdl.handle.net/1957/473961968-04-26T00:00:00ZA program for the fundamental theorum on symmetric functions
http://hdl.handle.net/1957/47395
A program for the fundamental theorum on symmetric functions
Upatisringa, Visutdhi
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 investigation is a heuristic for
finding the polynomials proved to exist by the Fundamental Theorem
on Symmetric Functions. This program is heuristic, since a proof
of the necessary existence theorem is lacking. Examples and
Alcom program are given in the appendix.
Graduation date: 1967
Mon, 13 Mar 1967 00:00:00 GMThttp://hdl.handle.net/1957/473951967-03-13T00:00:00ZSummation formulas for the greatest integer part function
http://hdl.handle.net/1957/47390
Summation formulas for the greatest integer part function
Haertel, Raymond Delbert
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. References are given for formulas and proofs which
appear in the literature.
Graduation date: 1967
Thu, 11 Aug 1966 00:00:00 GMThttp://hdl.handle.net/1957/473901966-08-11T00:00:00ZA study of factorization in Ra([square root]6) and Ra([square root]-21)
http://hdl.handle.net/1957/47389
A study of factorization in Ra([square root]6) and Ra([square root]-21)
Massey, Dale Morrell
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 one of the quadratic number fields, the concept
of ideal numbers will be introduced.
unique prime factorization is restored.
It will be demonstrated that unique prime factorization is restored.
Graduation date: 1967
Tue, 09 Aug 1966 00:00:00 GMThttp://hdl.handle.net/1957/473891966-08-09T00:00:00Z