The most interesting solution of Delta-Z + Delta-X = Delta-D occurs when
Delta-X is known and Delta-D are unknown (except for general characteristics
which depend upon the type of traffic.)
This is called wheel-breaking. It is an attempt, through the study
of at least 5,000 characters of Delta-Z, to formulate Delta-X and Delta-D
simultaneously,
thereby obtaining the X wheels as well as the Delta-D text.
We need mathematics in wheel-breaking. Wheel-breaking procedure
involves establishing hypotheses of varying probabilities, and building
further hypotheses on them. Odds in favour or the final outcome are most
important
to know. By the theory of probability, these final odds are the product of
the prior odds and all the factors derived from the individual pieces of
evidence. Because a product is involved, statements of odds and of factors
are usually made in logarithms (to base 10) called "bans;" the actual