Computational scheme, equivalence, and Turing machine are
defined. Some computational schemes are examined and shown to
be equivalent to the computational scheme of a Turing machine.
By various experiments, it has been found that the response
of real materials to external forces is, in general,
nonlinear in character. In classical continuum mechanics,
the use of ordinary measures of strain have forced the
constitutive equations to take complex forms and since the
orders of these measures are...
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...
This report is one of a series issued in cooperation with the ANC-17 Panel on Plastics for Aircraft of the Departments of the Air Force, Navy, and Commerce. Information reviewed and reaffirmed 1960. Original report issued November 1955.
Transition phenomena commonly occur in nature. These arise
either due to structural or behavioral changes in the medium. Examples
for these abound in all applied sciences and to mention a few
of these, we have, boundary layer, elastic-plastic deformation, and
shocks. The present work is devoted to the study of...