This paper is devoted to the study of families of tangent lines
to curves in Euclidean three dimensional space by the medium of a
particular representation for lines.
First, a ring of elements called dual numbers is d ...
Using thermodynamic principles, the general relationship describing the equilibrium
vapor content in the gas phase above a saline liquid and across a curved liquid-gas
interface is developed. Since high salt concentrat ...
The classical two-dimensional wavemaker problem is formulated for
linear waves. Two conformal mappings are applied to the mathematical
formulation to transform the wavemaker problem into a unit disk. It is then
shown ...
An analytical model is developed to address the question of how different disturbance
regimes affect the mean and variance of landscape carbon storage in forest ecosystems. Total landscape carbon is divided into five po ...
A description of a Turing Machine simulator, programmed on
the CDC 3300 Digital Computer, using the COMPASS programming
languages Version 2.0 of the 0S3 system. The simulator will build a
quintuple list from the input ...
This thesis documents a new language which facilitates
the construction of Turing machines. The language translator
is written in Compass and has been debugged and is
available for use on the CDC 3300.
In the study of uniform convergence, one is led naturally to
the question of how uniform convergence on subsets relates to uniform convergence on the whole space. This paper develops theorems on how pointwise convergenc ...
Sequential machines uniquely determine directed graphs. A path in a sequential machine may be specified by a starting state and an input sequence. A uniform Hamiltonian touring sequence (UHTS) is an input sequence that s ...
In this paper, we are concerned with the very general notion of
a universal algebra. A universal algebra essentially consists of a set
A together with a possibly infinite set of finitary operations on. A.
Generally, t ...
In this paper we develop an upscaling technique for non-Darcy flow in porous media.
Non-Darcy model of flow applies to flow in porous media when large velocities occur. The
well-posedness results for theory of quasil ...
Microcomputers are being used in teaching and learning
mathematics. This paper examines ways that computers can be used
to enhance teaching in precalculus mathematics. The advantages of
computers discussed are: 1) ins ...
The standard way of representing numbers on computers gives rise to errors
which increase as computations progress. Using p-adic valuations can reduce
error accumulation. Valuation theory tells us that p-adic and stand ...
In this work, we provide a detailed analysis of a discrete time regime switching financial market model with jumps. We consider the model under two different scenarios: known and unknown initial regime. For each scenario ...
The author shows that a necessary and sufficient condition
for a convex polyhedron to be representable as a finite vector sum
of line segments is that each of its faces possesses central symmetry.
This thesis explores the vibrational behavior of the main components of sound production
in the violin using a continuum mechanics approach. The author provides
a mathematical description of the regions in the vibratin ...