f′
= f o f deals
with the non-linear differential equation in which the derivative f′
is required to equal the self-composition f o f. The
right-hand side uses the solution f to determine the non-linear
structure of the problem solved. So, in a sense, the answer is required to
define the problem. This work was begun with Professor Igor Skrypnik. The
published version is in the East-West
Journal of Mathematics in 2001. Computations
and constructions in the paper (as easily downloaded and executed) MAPLE
programs. Copies of the paper are available.
ABC Entropy
is an introduction to Shannon entropies and their use in measuring information/patterns. Preprint.