This thesis is concerned with the detailed derivation
of Sheppard's Correction Formula relating the true to the
raw moments by the use of Euler-MacLaurin formula. Special
moment relationships have been derived using different
special functions, whose application is made to derive correction
formula for the semi-invariants. Special investigation
is carried...
This thesis deals with the output statistics of nonlinear devices.
It develops the classical output autocorrelation function in two dimensions
and extends the theory to three and four dimensions. Closed
form solutions for the output correlation function in two and three
dimensions are given for the full- and half-wave rectifier...
Solutions to the variable permeability magnetostatic field
problem are achieved in both rectangular and cylindrical coordinates
for a wide variety of magnet geometries. The resulting
difference equations are solved iteratively and a method is
provided which substantially increases the rate of convergence
for these type of problems. Magnetization curves for...
A mathematical model simulating mass transport of chemicals
in saturated porous medium is given in four parts. Included in the
development is the physical phenomenon of adsorption of molecules
of chemicals on the surrounding walls of the porous medium. The
four main areas of study are:
(1) Simple one dimensional...
In this paper we use the set of all positive integers as a sample space whose probability density function is unknown. Then a generalization of the probability distribution of the most significant digits of the set of all physical constants is obtained on the strength of (i) a very general...