The genesis of this article was a simple question:
``How can one use the computer in dealing with computationally
approachable but otherwise
intractable problems in
mathematics?''
We began our current exploration of
experimental mathematics
by examining a number of very long--standing conjectures and strongly held beliefs
regarding decimal and continued fraction expansions of certain elementary
constants. These questions are uniformly considered to be hopelessly
intractable given present mathematical technology. Unified field theory or
cancer's ``magic bullet'' seem accessible by comparison. But like many of
the most tantalizing problems in
mathematics their statements are beguilingly simple. Since our experimental
approach
was unlikely to result in any new discoveries, we focused on two aspects of experimentation:
systematization and communication.
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