We discuss a mathematical model arising from the following
physical situation. We consider a gas-filled cylinder with a piston
at one end whose motion is determined by the pressure of the gas
within the cylinder and by external forces. Zero mass flux is
assumed at the piston while the mass...
Traditionally, Renaissance studies have neglected or overlooked the contributions of early modern female poets, many of whom produced lively, engaging, and highly creative work despite the limitations imposed on them by a rigidly patriarchal society. In my thesis, I examine the life and work of Aemilia Lanyer, a 17th century...
A simplification of the proof of the maximum principle of
Pontryagin is obtained for constrained and unconstrained optimal control
problems. Two numerical methods for solving optimal control problems
with guaranteed error bounds using the maximum principle of Pontryagin
and interval analysis are derived.
This paper continues exploration in the area of
programming for parallel computers. The appendix to the
paper contains an extensive survey of the literature related
to parallel computers and parallel programming techniques.
The paper itself presents a new approach to solving
the Laplace equation on a. parallel computer. A new...
In this thesis some methods for solving systems of
nonlinear equations are described, which do not require
calculation of the Jacobian matrix. One of these methods
is programmed to solve a parametrized system with possible
singularities. The efficiency of this method and a modified
Newton's method are compared using experimental...
A construct is developed which is useful in the
investigation of the global convergence properties of
Newton's method.
This construct is used to study the application of
Newton's method to polynomials. A proof that Newton's
method converges almost globally for polynomials with
only real zeroes is extended to a larger...
PURPOSE OF THE STUDY
This study developed a model which identified mathematical needs
in various vocational technical programs. This model provides a
method which can be used to develop an adequate mathematics curriculum
to support occupational offerings at community college/technical
institutes, and can also help high schools and the colleges/technical...
The purpose of the study was to demonstrate the effectiveness of a safety systems approach, so designed, to reduce instructional needs by the application of research to the conceptualization and development of a computer-assisted safety management program. Procedure Two hundred accredited schools served as the respondent population for the study....
STATEMENT OF THE PROBLEM
The problem studied was whether there exist significant differences
between the perceived knowledge obtained by former secondary
cooperative work experience students as compared to the instructional
goals and objectives of these programs as identified by the Oregon
State Department of Education.
THE PROCEDURE
The problem as...
