Department of Mathematics
http://hdl.handle.net/1957/13737
2014-04-16T20:32:45ZNumerical solution of Hodgkin-Huxley's partial differential system for nerve conduction
http://hdl.handle.net/1957/47349
Numerical solution of Hodgkin-Huxley's partial differential system for nerve conduction
Morton, John Baird
A numerical solution to Hodgkin and Huxley's partial differential
system for the propagated action potential is presented. In
addition a three dimensional demonstration of the absolute refractory
period is given. Lastly, theoretical evidence supporting
Rushton's hypothesis is presented.
Graduation date: 1967
1967-05-04T00:00:00ZA FORTRAN to ALGOL translator
http://hdl.handle.net/1957/47348
A FORTRAN to ALGOL translator
Hill, Edward Burlingame
FORTRAN is readily feasible to translation into ALGOL since
they share many common features. Most of the features that are
unique to FORTRAN can be translated by restricting them somewhat.
The translator will handle explicit declarations of each item
in a block, compensate for the differences in various operators,
compensate for the different storage techniques and provide a
simple input /output scheme.
Running test cases through the FORTRAN programs and
through the translated ALGOL programs indicated that the ALGOL
programs take longer to execute than their FORTRAN counterparts.
Graduation date: 1969
1968-10-16T00:00:00ZThe extension problem for functions invariant under a group
http://hdl.handle.net/1957/47347
The extension problem for functions invariant under a group
Chang, Bai-Ching
Consider a transformation group G operating on a space X
and a G- invariant function f defined on a G- invariant subset of
X. By imposing suitable conditions on X, G, f and A, the
author derives sufficient conditions for extending f invariantly to
the whole space, and thus generalizing the classical Tietze extension
theorem.
Graduation date: 1967
1967-05-05T00:00:00ZA study of unique factorization in quadratic integral domains
http://hdl.handle.net/1957/47346
A study of unique factorization in quadratic integral domains
Van Enkevort, Ronald Lee
This thesis studies the question of unique factorization in
quadratic integral domains. In the first chapter many general
theorems and definitions from algebraic number theory are introduced.
The second chapter considers an integral domain in which
unique factorization holds. The necessary theorems to prove
unique factorization are developed. The third chapter concerns an
integral domain in which unique factorization fails. That it fails
is proved and then ideals are introduced to indicate how unique
factorization would be restored in terms of ideals.
Graduation date: 1967
1966-07-18T00:00:00Z