A technique often used to evaluate the inverse of n-dimensional Laplac
e transform in non-linear system analysis is called Association of Var
iable. This paper deals with the developments of several new theorems
for the theory of association. Theorems developed in this paper are ri
gorous and very useful in performing the inverse Laplace transform eva
luated at a single variable for certain functions. These theorems can
be applied to derive many associated pairs and thus will help develop
more basic theorems on Association of Variables.