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...
A geometric condition on differentiable maps is given which is
equivalent to the set of critical values being nowhere dense. In particular,
the geometric condition is satisfied for radially ductile maps.
On the other hand it is proved that the induced map on the de Rham
complex will be a...
The effect of a time harmonic electric source ring placed
axially symmetric between the walls of a double conical structure of
finite slant height is investigated. The bases of the conical structures
are spherical caps of radii equal to the slant height.
The Green's function for ideally conducting walls is...
The electromagnetic field in a cone of arbitrary slant
height with a symmetrically placed time harmonic ring source is
studied. Through the use of the modified Helmholtz equation as
an intermediate, we obtain the solution of the semi-infinite
cone directly from the finite cone. To demonstrate the need
for the...
In this paper a direct, constructive proof of the equivalence of the Normal Algorithm and Turing machine using the Turing machines NAS (Normal Algorithm Simulator) and NAC (Normal Algorithm Converter) is presented. The Turing machine NAS can simulate any particular Normal Algorithm, and NAG can convert the quintuples of a...
A technique of differentiation with respect to the distance to
the boundary of an outer parallel-body is applied to known measures of
sets of p-dimensional linear spaces which intersect a general convex
body in n-dimensional euclidean space in order to obtain an appropriate
definition of the measures of sets of...