Improved methods for automatic translation of Chinese characters
to English, using a scanner coupled to a digital computer, are
described. Included are computer techniques of locating, describing,
and recognizing different strokes for translation of the character.
An introduction to the generalized measures of deformation-
rates involving not only velocity gradients but also
acceleration gradients is given and constitutive equations
using these measures have been discussed. These new constitutive
equations are then used to study torsional
flows of viscoelastic fluids between two infinite parallel
planes. In order...
We investigate in this thesis, the problem of stability
of thermo-viscoelastic fluid flow between rotating
coaxial cylinders. By using the thermo-viscoelastic
constitutive equations given by Eringen, we reduce the
equations of motion into a form suitable for stability
analysis. The course of reduction which we follow yields
some interesting intermediate...
In this thesis we investigate the extension of certain theorems
of additive number theory to three algebraic systems. A generalization
of a theorem by Cauchy and Davenport on the cardinality of the
sum of two sets of residue classes is given. We obtain and compare
estimates for the order of...
Allen Freedman defined a density space to be the ordered pair
(S,𝓕) where S is a certain kind of semigroup called an s-set and 𝓕
is a special type of family of finite subsets of S called a fundamental
family on S. Several properties for density spaces are
obtained, and...
First, topological vector spaces are examined from a partial
order structure derived from neighborhood bases of the origin. This
structure is used to produce a minimal vector norm for every
Hausdorff locally convex space.
Then, topological vector spaces are examined to find translation
invariant measures with respect to which functions...
The simplest existing properly invariant theory for anisotropic
fluids, proposed by Ericksen, includes equations governing the nature
of a preferred direction. An analysis of simple shearing motion given
by Ericksen suggested that this type of theory might be applicable to
some fluids which are commonly treated as isotropic and might...
A set of axioms of incidence and order for geometry was formulated
by David Hilbert in 1898. In this paper these axioms are reformulated
and particular care is taken with the two relations of order
and incidence. Such phrases as " point P lies on line [cursive small letter L]"...